logic,rule_category,rule,problem,query,answer
propositional,equivalent,associative laws,inference,"Consider the following premises: It is sunny, or John is working or James is drinking water. Can we infer the following from them? Answer yes or no: It is sunny or John is working, or James is drinking water.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is cold, and Richard is a mechanic and Elisabeth is sad. Can we infer the following from them? Answer yes or no: It is cold and Richard is a mechanic, and Elisabeth is sad.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is snowing, or David is a doctor or Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: It is snowing or David is a doctor, or Elisabeth is a soldier.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: John is making tea, and Richard is climbing a mountain and Susan is a server. Can we infer the following from them? Answer yes or no: John is making tea and Richard is climbing a mountain, and Susan is a server.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Sarah is a police officer, or it is cold or Barbara is playing squash. Can we infer the following from them? Answer yes or no: Sarah is a police officer or it is cold, or Barbara is playing squash.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Linda is driving a car, and Richard is excited and it is cloudy. Can we infer the following from them? Answer yes or no: Linda is driving a car and Richard is excited, and it is cloudy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Thomas is playing squash, or Richard is rich or Joseph is sleeping. Can we infer the following from them? Answer yes or no: Thomas is playing squash or Richard is rich, or Joseph is sleeping.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: James is a server, or Sarah is climbing a mountain or it is raining. Can we infer the following from them? Answer yes or no: James is a server or Sarah is climbing a mountain, or it is raining.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Linda is making tea, and James is playing a game and Charles is cooking. Can we infer the following from them? Answer yes or no: Linda is making tea and James is playing a game, and Charles is cooking.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Richard is a taxi driver, and Karen is a writer and Richard is a janitor. Can we infer the following from them? Answer yes or no: Richard is a taxi driver and Karen is a writer, and Richard is a janitor.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Elisabeth is writing a letter, or Robert is climbing a mountain or it is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is writing a letter or Robert is climbing a mountain, or it is sunny.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: William is climbing a mountain, or Richard is a mechanic or Jessica is a police officer. Can we infer the following from them? Answer yes or no: William is climbing a mountain or Richard is a mechanic, or Jessica is a police officer.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: David is cooking, or it is cold or Jennifer is running. Can we infer the following from them? Answer yes or no: David is cooking or it is cold, or Jennifer is running.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Linda is driving a car, and it is sunny and Joseph is sleeping. Can we infer the following from them? Answer yes or no: Linda is driving a car and it is sunny, and Joseph is sleeping.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: James is making tea, and Thomas is bored and Elisabeth is working. Can we infer the following from them? Answer yes or no: James is making tea and Thomas is bored, and Elisabeth is working.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Michael is sad, and it is cold and Mary is a server. Can we infer the following from them? Answer yes or no: Michael is sad and it is cold, and Mary is a server.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Robert is climbing a mountain, and John is playing squash and James is drinking water. Can we infer the following from them? Answer yes or no: Robert is climbing a mountain and John is playing squash, and James is drinking water.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Michael is working, and Jennifer is a musician and Thomas is reading a book. Can we infer the following from them? Answer yes or no: Michael is working and Jennifer is a musician, and Thomas is reading a book.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Mary is working, and Robert is a mechanic and Linda is sleeping. Can we infer the following from them? Answer yes or no: Mary is working and Robert is a mechanic, and Linda is sleeping.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Sarah is playing tennis, and Joseph is driving a car and it is snowing. Can we infer the following from them? Answer yes or no: Sarah is playing tennis and Joseph is driving a car, and it is snowing.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is cold, and it is windy and Karen is cooking. Can we infer the following from them? Answer yes or no: It is cold and it is windy, and Karen is cooking.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Thomas is listening to a song, or Robert is reading a book or it is cloudy. Can we infer the following from them? Answer yes or no: Thomas is listening to a song or Robert is reading a book, or it is cloudy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Linda is climbing a mountain, or it is late or it is cloudy. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain or it is late, or it is cloudy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Elisabeth is an electrician, and it is raining and it is windy. Can we infer the following from them? Answer yes or no: Elisabeth is an electrician and it is raining, and it is windy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Jessica is writing a letter, or James is playing a game or William is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is writing a letter or James is playing a game, or William is playing tennis.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is cloudy, and Sarah is a writer and Mary is playing tennis. Can we infer the following from them? Answer yes or no: It is cloudy and Sarah is a writer, and Mary is playing tennis.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Karen is writing a letter, and Karen is a sailor and Jessica is a politician. Can we infer the following from them? Answer yes or no: Karen is writing a letter and Karen is a sailor, and Jessica is a politician.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is raining, or Michael is cooking or it is cold. Can we infer the following from them? Answer yes or no: It is raining or Michael is cooking, or it is cold.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is windy, or Karen is a bartender or John is running. Can we infer the following from them? Answer yes or no: It is windy or Karen is a bartender, or John is running.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: James is a nurse, or Richard is sleeping or Sarah is running. Can we infer the following from them? Answer yes or no: James is a nurse or Richard is sleeping, or Sarah is running.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is sunny, and Richard is a writer and it is windy. Can we infer the following from them? Answer yes or no: It is sunny and Richard is a writer, and it is windy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: James is listening to a song, or it is snowing or it is cloudy. Can we infer the following from them? Answer yes or no: James is listening to a song or it is snowing, or it is cloudy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Jessica is a server, and Richard is drinking water and Susan is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is a server and Richard is drinking water, and Susan is playing tennis.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Michael is fast, and James is sleeping and Patricia is listening to a song. Can we infer the following from them? Answer yes or no: Michael is fast and James is sleeping, and Patricia is listening to a song.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Thomas is drinking water, or Michael is playing squash or Karen is poor. Can we infer the following from them? Answer yes or no: Thomas is drinking water or Michael is playing squash, or Karen is poor.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is snowing, and Linda is sleeping and Joseph is reading a book. Can we infer the following from them? Answer yes or no: It is snowing and Linda is sleeping, and Joseph is reading a book.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is windy, and Richard is an electrician and Richard is a scientist. Can we infer the following from them? Answer yes or no: It is windy and Richard is an electrician, and Richard is a scientist.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Mary is playing a game, or it is raining or Jennifer is excited. Can we infer the following from them? Answer yes or no: Mary is playing a game or it is raining, or Jennifer is excited.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Mary is an artist, or Charles is sleeping or it is cloudy. Can we infer the following from them? Answer yes or no: Mary is an artist or Charles is sleeping, or it is cloudy.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: James is playing tennis, and Susan is a musician and William is making tea. Can we infer the following from them? Answer yes or no: James is playing tennis and Susan is a musician, and William is making tea.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Charles is playing a game, or Barbara is running or it is overcast. Can we infer the following from them? Answer yes or no: Charles is playing a game or Barbara is running, or it is overcast.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is cold, and Jessica is a sailor and Robert is sad. Can we infer the following from them? Answer yes or no: It is cold and Jessica is a sailor, and Robert is sad.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is overcast, and it is sunny and Richard is working. Can we infer the following from them? Answer yes or no: It is overcast and it is sunny, and Richard is working.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Jessica is a server, and it is late and it is snowing. Can we infer the following from them? Answer yes or no: Jessica is a server and it is late, and it is snowing.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Richard is making tea, or Robert is poor or Richard is curious. Can we infer the following from them? Answer yes or no: Richard is making tea or Robert is poor, or Richard is curious.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Jessica is taking a plane, and James is driving a car and it is cold. Can we infer the following from them? Answer yes or no: Jessica is taking a plane and James is driving a car, and it is cold.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Jennifer is making tea, or Thomas is a politician or it is raining. Can we infer the following from them? Answer yes or no: Jennifer is making tea or Thomas is a politician, or it is raining.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: It is snowing, or Jennifer is a soldier or David is a carpenter. Can we infer the following from them? Answer yes or no: It is snowing or Jennifer is a soldier, or David is a carpenter.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: David is an electrician, and David is cooking and Linda is a lawyer. Can we infer the following from them? Answer yes or no: David is an electrician and David is cooking, and Linda is a lawyer.",yes
propositional,equivalent,associative laws,inference,"Consider the following premises: Barbara is climbing a mountain, or Jennifer is playing squash or Karen is a carpenter. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain or Jennifer is playing squash, or Karen is a carpenter.",yes
propositional,equivalent,complement laws,inference,Consider the following premises: James is a server. Can we infer the following from them? Answer yes or no: James is a server.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Jessica is a lawyer. Can we infer the following from them? Answer yes or no: Jessica is a lawyer.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Charles is running. Can we infer the following from them? Answer yes or no: Charles is running.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Robert is a musician. Can we infer the following from them? Answer yes or no: Robert is a musician.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: John is an astronaut. Can we infer the following from them? Answer yes or no: John is an astronaut.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is running. Can we infer the following from them? Answer yes or no: William is running.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Michael is happy. Can we infer the following from them? Answer yes or no: Michael is happy.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: James is running. Can we infer the following from them? Answer yes or no: James is running.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: Elisabeth is a lawyer.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Charles is cooking. Can we infer the following from them? Answer yes or no: Charles is cooking.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Susan is writing a letter. Can we infer the following from them? Answer yes or no: Susan is writing a letter.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Mary is a police officer. Can we infer the following from them? Answer yes or no: Mary is a police officer.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: David is a doctor. Can we infer the following from them? Answer yes or no: David is a doctor.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is rich. Can we infer the following from them? Answer yes or no: William is rich.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: James is a lawyer. Can we infer the following from them? Answer yes or no: James is a lawyer.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: John is bored. Can we infer the following from them? Answer yes or no: John is bored.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Thomas is a carpenter. Can we infer the following from them? Answer yes or no: Thomas is a carpenter.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Patricia is listening to a song. Can we infer the following from them? Answer yes or no: Patricia is listening to a song.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is taking a plane. Can we infer the following from them? Answer yes or no: William is taking a plane.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Sarah is a poet. Can we infer the following from them? Answer yes or no: Sarah is a poet.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is a police officer. Can we infer the following from them? Answer yes or no: William is a police officer.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Richard is reading a book. Can we infer the following from them? Answer yes or no: Richard is reading a book.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Linda is a scientist. Can we infer the following from them? Answer yes or no: Linda is a scientist.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Patricia is climbing a mountain. Can we infer the following from them? Answer yes or no: Patricia is climbing a mountain.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Karen is writing a letter. Can we infer the following from them? Answer yes or no: Karen is writing a letter.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Jennifer is a carpenter. Can we infer the following from them? Answer yes or no: Jennifer is a carpenter.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: James is playing a game. Can we infer the following from them? Answer yes or no: James is playing a game.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Barbara is taking a plane.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Patricia is listening to a song. Can we infer the following from them? Answer yes or no: Patricia is listening to a song.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Richard is a carpenter. Can we infer the following from them? Answer yes or no: Richard is a carpenter.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is an artist. Can we infer the following from them? Answer yes or no: William is an artist.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Richard is a politician. Can we infer the following from them? Answer yes or no: Richard is a politician.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: James is reading a book. Can we infer the following from them? Answer yes or no: James is reading a book.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Sarah is an electrician. Can we infer the following from them? Answer yes or no: Sarah is an electrician.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Richard is sleeping. Can we infer the following from them? Answer yes or no: Richard is sleeping.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Sarah is playing a game. Can we infer the following from them? Answer yes or no: Sarah is playing a game.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Richard is listening to a song. Can we infer the following from them? Answer yes or no: Richard is listening to a song.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: Joseph is playing a game. Can we infer the following from them? Answer yes or no: Joseph is playing a game.,yes
propositional,equivalent,complement laws,inference,Consider the following premises: William is a poet. Can we infer the following from them? Answer yes or no: William is a poet.,yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Elisabeth is reading a book, and either it is sunny or Patricia is playing squash. Can we infer the following from them? Answer yes or no: either Elisabeth is reading a book and it is sunny, or Elisabeth is reading a book and Patricia is playing squash.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jessica is happy, and either Susan is a writer or Richard is sleeping. Can we infer the following from them? Answer yes or no: either Jessica is happy and Susan is a writer, or Jessica is happy and Richard is sleeping.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is overcast, or it is snowing and John is a poet. Can we infer the following from them? Answer yes or no: both It is overcast or it is snowing and It is overcast or John is a poet are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is windy, and either Mary is drinking water or it is overcast. Can we infer the following from them? Answer yes or no: either It is windy and Mary is drinking water, or It is windy and it is overcast.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Susan is playing tennis, and either Barbara is a janitor or it is overcast. Can we infer the following from them? Answer yes or no: either Susan is playing tennis and Barbara is a janitor, or Susan is playing tennis and it is overcast.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: John is a soldier, and either Richard is rich or Sarah is listening to a song. Can we infer the following from them? Answer yes or no: either John is a soldier and Richard is rich, or John is a soldier and Sarah is listening to a song.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is cloudy, or James is listening to a song and William is fast. Can we infer the following from them? Answer yes or no: both It is cloudy or James is listening to a song and It is cloudy or William is fast are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is snowing, or it is cold and it is sunny. Can we infer the following from them? Answer yes or no: both It is snowing or it is cold and It is snowing or it is sunny are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Sarah is fast, or Barbara is writing a letter and it is late. Can we infer the following from them? Answer yes or no: both Sarah is fast or Barbara is writing a letter and Sarah is fast or it is late are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: David is working, and either Barbara is an office clerk or it is snowing. Can we infer the following from them? Answer yes or no: either David is working and Barbara is an office clerk, or David is working and it is snowing.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jessica is a taxi driver, and either it is windy or it is cold. Can we infer the following from them? Answer yes or no: either Jessica is a taxi driver and it is windy, or Jessica is a taxi driver and it is cold.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Linda is playing a game, and either Robert is cooking or it is snowing. Can we infer the following from them? Answer yes or no: either Linda is playing a game and Robert is cooking, or Linda is playing a game and it is snowing.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is cloudy, and either it is snowing or it is raining. Can we infer the following from them? Answer yes or no: either It is cloudy and it is snowing, or It is cloudy and it is raining.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Robert is drinking water, and either it is late or Joseph is rich. Can we infer the following from them? Answer yes or no: either Robert is drinking water and it is late, or Robert is drinking water and Joseph is rich.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: James is listening to a song, or it is windy and Michael is taking a plane. Can we infer the following from them? Answer yes or no: both James is listening to a song or it is windy and James is listening to a song or Michael is taking a plane are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is windy, and either Susan is a carpenter or it is cloudy. Can we infer the following from them? Answer yes or no: either It is windy and Susan is a carpenter, or It is windy and it is cloudy.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jennifer is a soldier, and either David is poor or Charles is reading a book. Can we infer the following from them? Answer yes or no: either Jennifer is a soldier and David is poor, or Jennifer is a soldier and Charles is reading a book.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Karen is bored, and either Karen is sad or David is making tea. Can we infer the following from them? Answer yes or no: either Karen is bored and Karen is sad, or Karen is bored and David is making tea.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is sunny, or it is late and Jennifer is climbing a mountain. Can we infer the following from them? Answer yes or no: both It is sunny or it is late and It is sunny or Jennifer is climbing a mountain are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jennifer is a doctor, or it is overcast and Thomas is drinking water. Can we infer the following from them? Answer yes or no: both Jennifer is a doctor or it is overcast and Jennifer is a doctor or Thomas is drinking water are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is sunny, or John is a scientist and Barbara is working. Can we infer the following from them? Answer yes or no: both It is sunny or John is a scientist and It is sunny or Barbara is working are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is sunny, and either Robert is a sailor or Patricia is drinking water. Can we infer the following from them? Answer yes or no: either It is sunny and Robert is a sailor, or It is sunny and Patricia is drinking water.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is raining, and either it is late or it is windy. Can we infer the following from them? Answer yes or no: either It is raining and it is late, or It is raining and it is windy.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is snowing, or Robert is playing squash and Jennifer is rich. Can we infer the following from them? Answer yes or no: both It is snowing or Robert is playing squash and It is snowing or Jennifer is rich are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Linda is climbing a mountain, or William is a poet and Susan is cooking. Can we infer the following from them? Answer yes or no: both Linda is climbing a mountain or William is a poet and Linda is climbing a mountain or Susan is cooking are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jessica is curious, or Sarah is poor and Joseph is playing tennis. Can we infer the following from them? Answer yes or no: both Jessica is curious or Sarah is poor and Jessica is curious or Joseph is playing tennis are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Karen is sleeping, and either Linda is taking a plane or Susan is making tea. Can we infer the following from them? Answer yes or no: either Karen is sleeping and Linda is taking a plane, or Karen is sleeping and Susan is making tea.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: James is sleeping, or William is a doctor and Jennifer is climbing a mountain. Can we infer the following from them? Answer yes or no: both James is sleeping or William is a doctor and James is sleeping or Jennifer is climbing a mountain are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: William is a politician, and either it is snowing or it is cloudy. Can we infer the following from them? Answer yes or no: either William is a politician and it is snowing, or William is a politician and it is cloudy.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Thomas is a server, and either Mary is curious or John is a lawyer. Can we infer the following from them? Answer yes or no: either Thomas is a server and Mary is curious, or Thomas is a server and John is a lawyer.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Richard is a writer, or Robert is bored and it is overcast. Can we infer the following from them? Answer yes or no: both Richard is a writer or Robert is bored and Richard is a writer or it is overcast are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: David is sleeping, or Sarah is drinking water and Barbara is happy. Can we infer the following from them? Answer yes or no: both David is sleeping or Sarah is drinking water and David is sleeping or Barbara is happy are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Susan is a writer, or Susan is working and Robert is drinking water. Can we infer the following from them? Answer yes or no: both Susan is a writer or Susan is working and Susan is a writer or Robert is drinking water are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Joseph is running, or Susan is playing tennis and Karen is curious. Can we infer the following from them? Answer yes or no: both Joseph is running or Susan is playing tennis and Joseph is running or Karen is curious are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Linda is making tea, or Linda is playing tennis and Elisabeth is bored. Can we infer the following from them? Answer yes or no: both Linda is making tea or Linda is playing tennis and Linda is making tea or Elisabeth is bored are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: David is sad, and either James is a janitor or Thomas is playing squash. Can we infer the following from them? Answer yes or no: either David is sad and James is a janitor, or David is sad and Thomas is playing squash.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Susan is a scientist, and either Michael is a doctor or it is overcast. Can we infer the following from them? Answer yes or no: either Susan is a scientist and Michael is a doctor, or Susan is a scientist and it is overcast.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Richard is writing a letter, or Elisabeth is a writer and it is cloudy. Can we infer the following from them? Answer yes or no: both Richard is writing a letter or Elisabeth is a writer and Richard is writing a letter or it is cloudy are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is sunny, or Thomas is taking a plane and Charles is an astronaut. Can we infer the following from them? Answer yes or no: both It is sunny or Thomas is taking a plane and It is sunny or Charles is an astronaut are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: David is running, or Joseph is reading a book and Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: both David is running or Joseph is reading a book and David is running or Sarah is climbing a mountain are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Linda is playing tennis, and either Charles is a scientist or Richard is working. Can we infer the following from them? Answer yes or no: either Linda is playing tennis and Charles is a scientist, or Linda is playing tennis and Richard is working.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: John is writing a letter, or Susan is driving a car and it is late. Can we infer the following from them? Answer yes or no: both John is writing a letter or Susan is driving a car and John is writing a letter or it is late are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Mary is running, and either Patricia is a carpenter or Charles is a sailor. Can we infer the following from them? Answer yes or no: either Mary is running and Patricia is a carpenter, or Mary is running and Charles is a sailor.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Robert is a police officer, or it is overcast and it is windy. Can we infer the following from them? Answer yes or no: both Robert is a police officer or it is overcast and Robert is a police officer or it is windy are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Michael is playing tennis, or Jessica is an astronaut and Susan is cooking. Can we infer the following from them? Answer yes or no: both Michael is playing tennis or Jessica is an astronaut and Michael is playing tennis or Susan is cooking are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is snowing, and either Karen is listening to a song or Mary is an astronaut. Can we infer the following from them? Answer yes or no: either It is snowing and Karen is listening to a song, or It is snowing and Mary is an astronaut.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is late, and either John is sad or Susan is fast. Can we infer the following from them? Answer yes or no: either It is late and John is sad, or It is late and Susan is fast.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: It is overcast, or Robert is working and it is cold. Can we infer the following from them? Answer yes or no: both It is overcast or Robert is working and It is overcast or it is cold are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Jessica is making tea, or James is sleeping and Jessica is playing squash. Can we infer the following from them? Answer yes or no: both Jessica is making tea or James is sleeping and Jessica is making tea or Jessica is playing squash are true.",yes
propositional,equivalent,distributive laws,inference,"Consider the following premises: Mary is happy, or Linda is listening to a song and it is overcast. Can we infer the following from them? Answer yes or no: both Mary is happy or Linda is listening to a song and Mary is happy or it is overcast are true.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Linda were a janitor, then it is windy. Can we infer the following from them? Answer yes or no: Linda is not a janitor or it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: James is not working or it is cloudy. Can we infer the following from them? Answer yes or no: If James works, then it is cloudy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is windy, then it is cold. Can we infer the following from them? Answer yes or no: It is not windy or it is cold.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is overcast, then Sarah is a scientist. Can we infer the following from them? Answer yes or no: It is not overcast or Sarah is a scientist.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Robert is not reading a book or Patricia is a police officer. Can we infer the following from them? Answer yes or no: If Robert reads a book, then Patricia is a police officer.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is cloudy, then Richard is writing a letter. Can we infer the following from them? Answer yes or no: It is not cloudy or Richard is writing a letter.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not late or Mary is curious. Can we infer the following from them? Answer yes or no: If it is late, then Mary is curious.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If David climbs a mountain, then it is windy. Can we infer the following from them? Answer yes or no: David is not climbing a mountain or it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If William were curious, then Mary is excited. Can we infer the following from them? Answer yes or no: William is not curious or Mary is excited.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Charles were a lawyer, then it is cloudy. Can we infer the following from them? Answer yes or no: Charles is not a lawyer or it is cloudy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Elisabeth were a taxi driver, then it is windy. Can we infer the following from them? Answer yes or no: Elisabeth is not a taxi driver or it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is overcast, then Michael is cooking. Can we infer the following from them? Answer yes or no: It is not overcast or Michael is cooking.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Michael makes tea, then Robert is a writer. Can we infer the following from them? Answer yes or no: Michael is not making tea or Robert is a writer.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Elisabeth is not a politician or Linda is sad. Can we infer the following from them? Answer yes or no: If Elisabeth were a politician, then Linda is sad.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Charles were a poet, then it is raining. Can we infer the following from them? Answer yes or no: Charles is not a poet or it is raining.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Sarah is not a bartender or William is running. Can we infer the following from them? Answer yes or no: If Sarah were a bartender, then William is running.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is windy, then Robert is listening to a song. Can we infer the following from them? Answer yes or no: It is not windy or Robert is listening to a song.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Sarah were an office clerk, then Joseph is a scientist. Can we infer the following from them? Answer yes or no: Sarah is not an office clerk or Joseph is a scientist.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Mary is not an astronaut or it is late. Can we infer the following from them? Answer yes or no: If Mary were an astronaut, then it is late.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is overcast, then it is windy. Can we infer the following from them? Answer yes or no: It is not overcast or it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not snowing or it is sunny. Can we infer the following from them? Answer yes or no: If it snows, then it is sunny.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Barbara were a server, then it is cold. Can we infer the following from them? Answer yes or no: Barbara is not a server or it is cold.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not late or Thomas is reading a book. Can we infer the following from them? Answer yes or no: If it is late, then Thomas is reading a book.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Charles is not sleeping or it is windy. Can we infer the following from them? Answer yes or no: If Charles sleeps, then it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it rains, then Barbara is playing tennis. Can we infer the following from them? Answer yes or no: It is not raining or Barbara is playing tennis.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is windy, then Richard is a bartender. Can we infer the following from them? Answer yes or no: It is not windy or Richard is a bartender.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: David is not an electrician or Richard is a nurse. Can we infer the following from them? Answer yes or no: If David were an electrician, then Richard is a nurse.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not snowing or Barbara is cooking. Can we infer the following from them? Answer yes or no: If it snows, then Barbara is cooking.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is sunny, then it is snowing. Can we infer the following from them? Answer yes or no: It is not sunny or it is snowing.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Jennifer is not rich or it is cloudy. Can we infer the following from them? Answer yes or no: If Jennifer were rich, then it is cloudy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is windy, then Thomas is playing tennis. Can we infer the following from them? Answer yes or no: It is not windy or Thomas is playing tennis.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Patricia works, then William is reading a book. Can we infer the following from them? Answer yes or no: Patricia is not working or William is reading a book.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Charles were a musician, then Elisabeth is a bartender. Can we infer the following from them? Answer yes or no: Charles is not a musician or Elisabeth is a bartender.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Elisabeth is not a nurse or it is windy. Can we infer the following from them? Answer yes or no: If Elisabeth were a nurse, then it is windy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Thomas is not making tea or it is cold. Can we infer the following from them? Answer yes or no: If Thomas makes tea, then it is cold.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Linda is not a nurse or Jennifer is a poet. Can we infer the following from them? Answer yes or no: If Linda were a nurse, then Jennifer is a poet.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is cold, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cold or it is cloudy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Charles takes a plane, then Barbara is running. Can we infer the following from them? Answer yes or no: Charles is not taking a plane or Barbara is running.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: John is not a carpenter or Charles is a police officer. Can we infer the following from them? Answer yes or no: If John were a carpenter, then Charles is a police officer.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If James works, then Richard is bored. Can we infer the following from them? Answer yes or no: James is not working or Richard is bored.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Sarah is not a politician or Charles is taking a plane. Can we infer the following from them? Answer yes or no: If Sarah were a politician, then Charles is taking a plane.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not cold or it is snowing. Can we infer the following from them? Answer yes or no: If it is cold, then it is snowing.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Mary were a mechanic, then Thomas is driving a car. Can we infer the following from them? Answer yes or no: Mary is not a mechanic or Thomas is driving a car.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: Charles is not a nurse or it is cloudy. Can we infer the following from them? Answer yes or no: If Charles were a nurse, then it is cloudy.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Barbara plays a game, then Joseph is a poet. Can we infer the following from them? Answer yes or no: Barbara is not playing a game or Joseph is a poet.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not windy or John is driving a car. Can we infer the following from them? Answer yes or no: If it is windy, then John is driving a car.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not windy or it is late. Can we infer the following from them? Answer yes or no: If it is windy, then it is late.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Joseph makes tea, then it is late. Can we infer the following from them? Answer yes or no: Joseph is not making tea or it is late.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not sunny or Jessica is drinking water. Can we infer the following from them? Answer yes or no: If it is sunny, then Jessica is drinking water.",yes
propositional,equivalent,conditional laws,inference,"Consider the following premises: If Richard were a musician, then Thomas is writing a letter. Can we infer the following from them? Answer yes or no: Richard is not a musician or Thomas is writing a letter.",yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is overcast and Linda is writing a letter. Can we infer the following from them? Answer yes or no: Linda is writing a letter and it is overcast.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Barbara is an astronaut and Michael is playing a game. Can we infer the following from them? Answer yes or no: Michael is playing a game and Barbara is an astronaut.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: David is playing tennis or Michael is a mechanic. Can we infer the following from them? Answer yes or no: Michael is a mechanic or David is playing tennis.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is sunny or Joseph is a police officer. Can we infer the following from them? Answer yes or no: Joseph is a police officer or it is sunny.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is cloudy or Robert is a janitor. Can we infer the following from them? Answer yes or no: Robert is a janitor or it is cloudy.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Sarah is cooking or David is playing tennis. Can we infer the following from them? Answer yes or no: David is playing tennis or Sarah is cooking.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Patricia is a nurse or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast or Patricia is a nurse.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: John is cooking and Joseph is sleeping. Can we infer the following from them? Answer yes or no: Joseph is sleeping and John is cooking.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is snowing or Jessica is making tea. Can we infer the following from them? Answer yes or no: Jessica is making tea or it is snowing.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Thomas is a scientist or it is snowing. Can we infer the following from them? Answer yes or no: It is snowing or Thomas is a scientist.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is late or it is snowing. Can we infer the following from them? Answer yes or no: It is snowing or it is late.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Sarah is poor and it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy and Sarah is poor.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is sunny or it is raining. Can we infer the following from them? Answer yes or no: It is raining or it is sunny.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: David is a janitor or Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: Jennifer is listening to a song or David is a janitor.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Robert is playing tennis or Joseph is writing a letter. Can we infer the following from them? Answer yes or no: Joseph is writing a letter or Robert is playing tennis.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Elisabeth is making tea or Jessica is taking a plane. Can we infer the following from them? Answer yes or no: Jessica is taking a plane or Elisabeth is making tea.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: David is a scientist or Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is climbing a mountain or David is a scientist.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Susan is writing a letter and Michael is a soldier. Can we infer the following from them? Answer yes or no: Michael is a soldier and Susan is writing a letter.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is cloudy or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny or it is cloudy.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Barbara is happy or it is cold. Can we infer the following from them? Answer yes or no: It is cold or Barbara is happy.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is late and Susan is playing a game. Can we infer the following from them? Answer yes or no: Susan is playing a game and it is late.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Barbara is reading a book or Richard is working. Can we infer the following from them? Answer yes or no: Richard is working or Barbara is reading a book.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is windy or Karen is fast. Can we infer the following from them? Answer yes or no: Karen is fast or it is windy.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Sarah is writing a letter or Sarah is making tea. Can we infer the following from them? Answer yes or no: Sarah is making tea or Sarah is writing a letter.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Thomas is sleeping or William is reading a book. Can we infer the following from them? Answer yes or no: William is reading a book or Thomas is sleeping.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is late and Thomas is happy. Can we infer the following from them? Answer yes or no: Thomas is happy and it is late.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Linda is cooking or Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain or Linda is cooking.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: William is a server or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast or William is a server.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Thomas is making tea and Jennifer is a server. Can we infer the following from them? Answer yes or no: Jennifer is a server and Thomas is making tea.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is cloudy and it is cold. Can we infer the following from them? Answer yes or no: It is cold and it is cloudy.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is overcast and it is cold. Can we infer the following from them? Answer yes or no: It is cold and it is overcast.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Susan is an electrician or Richard is taking a plane. Can we infer the following from them? Answer yes or no: Richard is taking a plane or Susan is an electrician.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Elisabeth is a nurse and Richard is a lawyer. Can we infer the following from them? Answer yes or no: Richard is a lawyer and Elisabeth is a nurse.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is taking a plane and Joseph is making tea. Can we infer the following from them? Answer yes or no: Joseph is making tea and Jessica is taking a plane.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Linda is cooking and it is cold. Can we infer the following from them? Answer yes or no: It is cold and Linda is cooking.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is an electrician or Jennifer is a soldier. Can we infer the following from them? Answer yes or no: Jennifer is a soldier or Jessica is an electrician.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is taking a plane and Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: Elisabeth is playing a game and Jessica is taking a plane.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Mary is rich or Richard is running. Can we infer the following from them? Answer yes or no: Richard is running or Mary is rich.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Barbara is a poet and David is an artist. Can we infer the following from them? Answer yes or no: David is an artist and Barbara is a poet.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: David is drinking water and John is a soldier. Can we infer the following from them? Answer yes or no: John is a soldier and David is drinking water.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Patricia is excited or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or Patricia is excited.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: John is climbing a mountain or Michael is playing tennis. Can we infer the following from them? Answer yes or no: Michael is playing tennis or John is climbing a mountain.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Sarah is writing a letter and it is sunny. Can we infer the following from them? Answer yes or no: It is sunny and Sarah is writing a letter.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is raining or Linda is rich. Can we infer the following from them? Answer yes or no: Linda is rich or it is raining.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Susan is a lawyer or Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: Robert is climbing a mountain or Susan is a lawyer.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is playing tennis or Elisabeth is an artist. Can we infer the following from them? Answer yes or no: Elisabeth is an artist or Jessica is playing tennis.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is late or Barbara is a politician. Can we infer the following from them? Answer yes or no: Barbara is a politician or it is late.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: Susan is a police officer and Jessica is a cashier. Can we infer the following from them? Answer yes or no: Jessica is a cashier and Susan is a police officer.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: It is cold or Robert is working. Can we infer the following from them? Answer yes or no: Robert is working or it is cold.,yes
propositional,equivalent,commutative laws,inference,Consider the following premises: William is drinking water and David is reading a book. Can we infer the following from them? Answer yes or no: David is reading a book and William is drinking water.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is sunny or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is overcast or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Patricia is a musician and Patricia is a musician. Can we infer the following from them? Answer yes or no: Patricia is a musician.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Thomas is a politician and Thomas is a politician. Can we infer the following from them? Answer yes or no: Thomas is a politician.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Mary is a soldier and Mary is a soldier. Can we infer the following from them? Answer yes or no: Mary is a soldier.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is late and it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is overcast and it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Joseph is a janitor and Joseph is a janitor. Can we infer the following from them? Answer yes or no: Joseph is a janitor.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Michael is listening to a song and Michael is listening to a song. Can we infer the following from them? Answer yes or no: Michael is listening to a song.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: William is driving a car and William is driving a car. Can we infer the following from them? Answer yes or no: William is driving a car.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Barbara is writing a letter or Barbara is writing a letter. Can we infer the following from them? Answer yes or no: Barbara is writing a letter.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is overcast or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cloudy or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is late or it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Linda is writing a letter and Linda is writing a letter. Can we infer the following from them? Answer yes or no: Linda is writing a letter.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is late or it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Patricia is sleeping or Patricia is sleeping. Can we infer the following from them? Answer yes or no: Patricia is sleeping.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is sunny or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: David is a sailor or David is a sailor. Can we infer the following from them? Answer yes or no: David is a sailor.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: John is a sailor or John is a sailor. Can we infer the following from them? Answer yes or no: John is a sailor.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Thomas is fast and Thomas is fast. Can we infer the following from them? Answer yes or no: Thomas is fast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: James is drinking water or James is drinking water. Can we infer the following from them? Answer yes or no: James is drinking water.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Jessica is a writer or Jessica is a writer. Can we infer the following from them? Answer yes or no: Jessica is a writer.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is overcast and it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Jennifer is driving a car or Jennifer is driving a car. Can we infer the following from them? Answer yes or no: Jennifer is driving a car.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Richard is a taxi driver and Richard is a taxi driver. Can we infer the following from them? Answer yes or no: Richard is a taxi driver.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Patricia is excited or Patricia is excited. Can we infer the following from them? Answer yes or no: Patricia is excited.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Charles is driving a car and Charles is driving a car. Can we infer the following from them? Answer yes or no: Charles is driving a car.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is overcast or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Jennifer is a sailor and Jennifer is a sailor. Can we infer the following from them? Answer yes or no: Jennifer is a sailor.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: William is playing a game and William is playing a game. Can we infer the following from them? Answer yes or no: William is playing a game.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Linda is excited or Linda is excited. Can we infer the following from them? Answer yes or no: Linda is excited.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is windy or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Richard is a carpenter or Richard is a carpenter. Can we infer the following from them? Answer yes or no: Richard is a carpenter.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is raining and it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Elisabeth is taking a plane or Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: Elisabeth is taking a plane.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Sarah is a writer or Sarah is a writer. Can we infer the following from them? Answer yes or no: Sarah is a writer.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: William is a writer or William is a writer. Can we infer the following from them? Answer yes or no: William is a writer.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: John is sleeping and John is sleeping. Can we infer the following from them? Answer yes or no: John is sleeping.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: David is a sailor or David is a sailor. Can we infer the following from them? Answer yes or no: David is a sailor.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cloudy or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is sunny or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: Thomas is a taxi driver or Thomas is a taxi driver. Can we infer the following from them? Answer yes or no: Thomas is a taxi driver.,yes
propositional,equivalent,idempotent laws,inference,Consider the following premises: David is making tea or David is making tea. Can we infer the following from them? Answer yes or no: David is making tea.,yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Joseph is excited if and only if Barbara is taking a plane. Can we infer the following from them? Answer yes or no: If Joseph were excited, then Barbara is taking a plane and if Barbara takes a plane, then Joseph is excited.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: John is working if and only if David is a musician. Can we infer the following from them? Answer yes or no: If John works, then David is a musician and if David were a musician, then John is working.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Jessica were poor, then Richard is driving a car and if Richard drives a car, then Jessica is poor. Can we infer the following from them? Answer yes or no: Jessica is poor if and only if Richard is driving a car.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Joseph goes running, then Patricia is a scientist and if Patricia were a scientist, then Joseph is running. Can we infer the following from them? Answer yes or no: Joseph is running if and only if Patricia is a scientist.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is overcast if and only if it is windy. Can we infer the following from them? Answer yes or no: If it is overcast, then it is windy and if it is windy, then it is overcast.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If William plays squash, then Robert is playing a game and if Robert plays a game, then William is playing squash. Can we infer the following from them? Answer yes or no: William is playing squash if and only if Robert is playing a game.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if Jennifer is a taxi driver. Can we infer the following from them? Answer yes or no: If it rains, then Jennifer is a taxi driver and if Jennifer were a taxi driver, then it is raining.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Thomas plays squash, then William is listening to a song and if William listens to a song, then Thomas is playing squash. Can we infer the following from them? Answer yes or no: Thomas is playing squash if and only if William is listening to a song.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it rains, then James is taking a plane and if James takes a plane, then it is raining. Can we infer the following from them? Answer yes or no: It is raining if and only if James is taking a plane.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if John is drinking water. Can we infer the following from them? Answer yes or no: If it rains, then John is drinking water and if John drinks water, then it is raining.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Jessica is an electrician if and only if Karen is rich. Can we infer the following from them? Answer yes or no: If Jessica were an electrician, then Karen is rich and if Karen were rich, then Jessica is an electrician.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is windy, then Charles is working and if Charles works, then it is windy. Can we infer the following from them? Answer yes or no: It is windy if and only if Charles is working.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Karen plays tennis, then Elisabeth is running and if Elisabeth goes running, then Karen is playing tennis. Can we infer the following from them? Answer yes or no: Karen is playing tennis if and only if Elisabeth is running.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Sarah writes a letter, then it is overcast and if it is overcast, then Sarah is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is writing a letter if and only if it is overcast.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Jennifer cooks, then Thomas is making tea and if Thomas makes tea, then Jennifer is cooking. Can we infer the following from them? Answer yes or no: Jennifer is cooking if and only if Thomas is making tea.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is cloudy if and only if Michael is a soldier. Can we infer the following from them? Answer yes or no: If it is cloudy, then Michael is a soldier and if Michael were a soldier, then it is cloudy.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Patricia is a janitor if and only if Charles is a mechanic. Can we infer the following from them? Answer yes or no: If Patricia were a janitor, then Charles is a mechanic and if Charles were a mechanic, then Patricia is a janitor.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Linda is a cashier if and only if it is overcast. Can we infer the following from them? Answer yes or no: If Linda were a cashier, then it is overcast and if it is overcast, then Linda is a cashier.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Richard is running if and only if it is raining. Can we infer the following from them? Answer yes or no: If Richard goes running, then it is raining and if it rains, then Richard is running.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is windy if and only if Jennifer is an astronaut. Can we infer the following from them? Answer yes or no: If it is windy, then Jennifer is an astronaut and if Jennifer were an astronaut, then it is windy.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is overcast, then Richard is a janitor and if Richard were a janitor, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast if and only if Richard is a janitor.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Elisabeth is rich if and only if Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: If Elisabeth were rich, then Linda is climbing a mountain and if Linda climbs a mountain, then Elisabeth is rich.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is sunny if and only if it is cold. Can we infer the following from them? Answer yes or no: If it is sunny, then it is cold and if it is cold, then it is sunny.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Charles is drinking water if and only if Karen is a doctor. Can we infer the following from them? Answer yes or no: If Charles drinks water, then Karen is a doctor and if Karen were a doctor, then Charles is drinking water.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Robert were a lawyer, then Susan is playing a game and if Susan plays a game, then Robert is a lawyer. Can we infer the following from them? Answer yes or no: Robert is a lawyer if and only if Susan is playing a game.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is cloudy if and only if Robert is making tea. Can we infer the following from them? Answer yes or no: If it is cloudy, then Robert is making tea and if Robert makes tea, then it is cloudy.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Thomas were a mechanic, then it is raining and if it rains, then Thomas is a mechanic. Can we infer the following from them? Answer yes or no: Thomas is a mechanic if and only if it is raining.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Michael were an office clerk, then it is cold and if it is cold, then Michael is an office clerk. Can we infer the following from them? Answer yes or no: Michael is an office clerk if and only if it is cold.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If James were bored, then John is running and if John goes running, then James is bored. Can we infer the following from them? Answer yes or no: James is bored if and only if John is running.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if James is writing a letter. Can we infer the following from them? Answer yes or no: If it rains, then James is writing a letter and if James writes a letter, then it is raining.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is snowing if and only if Mary is playing tennis. Can we infer the following from them? Answer yes or no: If it snows, then Mary is playing tennis and if Mary plays tennis, then it is snowing.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Jennifer is driving a car if and only if John is poor. Can we infer the following from them? Answer yes or no: If Jennifer drives a car, then John is poor and if John were poor, then Jennifer is driving a car.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Linda were an office clerk, then it is cloudy and if it is cloudy, then Linda is an office clerk. Can we infer the following from them? Answer yes or no: Linda is an office clerk if and only if it is cloudy.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If William drinks water, then it is cold and if it is cold, then William is drinking water. Can we infer the following from them? Answer yes or no: William is drinking water if and only if it is cold.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If William were curious, then Thomas is a nurse and if Thomas were a nurse, then William is curious. Can we infer the following from them? Answer yes or no: William is curious if and only if Thomas is a nurse.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it snows, then Barbara is listening to a song and if Barbara listens to a song, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing if and only if Barbara is listening to a song.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is cold if and only if Joseph is taking a plane. Can we infer the following from them? Answer yes or no: If it is cold, then Joseph is taking a plane and if Joseph takes a plane, then it is cold.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Karen were a server, then Thomas is a bartender and if Thomas were a bartender, then Karen is a server. Can we infer the following from them? Answer yes or no: Karen is a server if and only if Thomas is a bartender.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Thomas were curious, then Jennifer is running and if Jennifer goes running, then Thomas is curious. Can we infer the following from them? Answer yes or no: Thomas is curious if and only if Jennifer is running.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is windy, then Elisabeth is playing a game and if Elisabeth plays a game, then it is windy. Can we infer the following from them? Answer yes or no: It is windy if and only if Elisabeth is playing a game.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is windy, then it is cloudy and if it is cloudy, then it is windy. Can we infer the following from them? Answer yes or no: It is windy if and only if it is cloudy.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Michael were bored, then John is a lawyer and if John were a lawyer, then Michael is bored. Can we infer the following from them? Answer yes or no: Michael is bored if and only if John is a lawyer.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Richard is cooking if and only if Thomas is reading a book. Can we infer the following from them? Answer yes or no: If Richard cooks, then Thomas is reading a book and if Thomas reads a book, then Richard is cooking.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Michael is a cashier if and only if it is cloudy. Can we infer the following from them? Answer yes or no: If Michael were a cashier, then it is cloudy and if it is cloudy, then Michael is a cashier.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is cold, then Thomas is playing squash and if Thomas plays squash, then it is cold. Can we infer the following from them? Answer yes or no: It is cold if and only if Thomas is playing squash.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If John plays squash, then Richard is driving a car and if Richard drives a car, then John is playing squash. Can we infer the following from them? Answer yes or no: John is playing squash if and only if Richard is driving a car.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Robert is a taxi driver if and only if William is driving a car. Can we infer the following from them? Answer yes or no: If Robert were a taxi driver, then William is driving a car and if William drives a car, then Robert is a taxi driver.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it rains, then it is overcast and if it is overcast, then it is raining. Can we infer the following from them? Answer yes or no: It is raining if and only if it is overcast.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is sunny if and only if it is late. Can we infer the following from them? Answer yes or no: If it is sunny, then it is late and if it is late, then it is sunny.",yes
propositional,equivalent,biconditional laws,inference,"Consider the following premises: Karen is working if and only if Linda is cooking. Can we infer the following from them? Answer yes or no: If Karen works, then Linda is cooking and if Linda cooks, then Karen is working.",yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Richard is sleeping nor it is cloudy. Can we infer the following from them? Answer yes or no: Richard is not sleeping and it is not cloudy.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Richard is writing a letter nor it is late. Can we infer the following from them? Answer yes or no: Richard is not writing a letter and it is not late.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is cold nor it is windy. Can we infer the following from them? Answer yes or no: It is not cold and it is not windy.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Karen is climbing a mountain and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: Karen is not climbing a mountain or it is not cold.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Robert is cooking and the claim that Richard is poor cannot both be true. Can we infer the following from them? Answer yes or no: Robert is not cooking or Richard is not poor.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Charles is a cashier and the claim that it is raining cannot both be true. Can we infer the following from them? Answer yes or no: Charles is not a cashier or it is not raining.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is late nor it is cold. Can we infer the following from them? Answer yes or no: It is not late and it is not cold.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is sunny nor Charles is a sailor. Can we infer the following from them? Answer yes or no: It is not sunny and Charles is not a sailor.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is late nor it is cloudy. Can we infer the following from them? Answer yes or no: It is not late and it is not cloudy.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Charles is drinking water and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: Charles is not drinking water or it is not sunny.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that James is a carpenter and the claim that Michael is a police officer cannot both be true. Can we infer the following from them? Answer yes or no: James is not a carpenter or Michael is not a police officer.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Linda is sleeping nor Mary is curious. Can we infer the following from them? Answer yes or no: Linda is not sleeping and Mary is not curious.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is windy nor Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: It is not windy and Elisabeth is not playing a game.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is overcast and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: It is not overcast or it is not cold.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Sarah is a politician and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: Sarah is not a politician or it is not sunny.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is cold nor it is overcast. Can we infer the following from them? Answer yes or no: It is not cold and it is not overcast.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Susan is a taxi driver nor James is an office clerk. Can we infer the following from them? Answer yes or no: Susan is not a taxi driver and James is not an office clerk.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Robert is a bartender nor it is sunny. Can we infer the following from them? Answer yes or no: Robert is not a bartender and it is not sunny.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is overcast nor Jennifer is a carpenter. Can we infer the following from them? Answer yes or no: It is not overcast and Jennifer is not a carpenter.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Elisabeth is a scientist nor Charles is cooking. Can we infer the following from them? Answer yes or no: Elisabeth is not a scientist and Charles is not cooking.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Patricia is happy and the claim that William is running cannot both be true. Can we infer the following from them? Answer yes or no: Patricia is not happy or William is not running.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is sunny and the claim that Susan is running cannot both be true. Can we infer the following from them? Answer yes or no: It is not sunny or Susan is not running.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither James is poor nor it is snowing. Can we infer the following from them? Answer yes or no: James is not poor and it is not snowing.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Joseph is taking a plane nor Joseph is running. Can we infer the following from them? Answer yes or no: Joseph is not taking a plane and Joseph is not running.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Joseph is happy nor it is late. Can we infer the following from them? Answer yes or no: Joseph is not happy and it is not late.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Jennifer is climbing a mountain and the claim that Mary is cooking cannot both be true. Can we infer the following from them? Answer yes or no: Jennifer is not climbing a mountain or Mary is not cooking.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Sarah is a sailor and the claim that Linda is running cannot both be true. Can we infer the following from them? Answer yes or no: Sarah is not a sailor or Linda is not running.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is snowing nor Linda is sleeping. Can we infer the following from them? Answer yes or no: It is not snowing and Linda is not sleeping.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that John is an electrician and the claim that Thomas is working cannot both be true. Can we infer the following from them? Answer yes or no: John is not an electrician or Thomas is not working.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Michael is a soldier nor it is snowing. Can we infer the following from them? Answer yes or no: Michael is not a soldier and it is not snowing.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is windy and the claim that it is raining cannot both be true. Can we infer the following from them? Answer yes or no: It is not windy or it is not raining.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is snowing and the claim that Jennifer is cooking cannot both be true. Can we infer the following from them? Answer yes or no: It is not snowing or Jennifer is not cooking.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Elisabeth is writing a letter nor it is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is not writing a letter and it is not sunny.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is cold and the claim that it is snowing cannot both be true. Can we infer the following from them? Answer yes or no: It is not cold or it is not snowing.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is windy and the claim that Susan is cooking cannot both be true. Can we infer the following from them? Answer yes or no: It is not windy or Susan is not cooking.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Thomas is sleeping nor Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is not sleeping and Robert is not climbing a mountain.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is overcast and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: It is not overcast or it is not late.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Robert is a soldier and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: Robert is not a soldier or it is not cold.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is sunny and the claim that Thomas is curious cannot both be true. Can we infer the following from them? Answer yes or no: It is not sunny or Thomas is not curious.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is late and the claim that James is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: It is not late or James is not a lawyer.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Michael is a soldier nor Mary is an astronaut. Can we infer the following from them? Answer yes or no: Michael is not a soldier and Mary is not an astronaut.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is cloudy nor Jessica is a taxi driver. Can we infer the following from them? Answer yes or no: It is not cloudy and Jessica is not a taxi driver.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Susan is a poet nor Barbara is happy. Can we infer the following from them? Answer yes or no: Susan is not a poet and Barbara is not happy.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Richard is drinking water nor John is a sailor. Can we infer the following from them? Answer yes or no: Richard is not drinking water and John is not a sailor.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Charles is happy and the claim that James is climbing a mountain cannot both be true. Can we infer the following from them? Answer yes or no: Charles is not happy or James is not climbing a mountain.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is cold nor Jessica is a soldier. Can we infer the following from them? Answer yes or no: It is not cold and Jessica is not a soldier.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is snowing and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: It is not snowing or it is not cloudy.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is overcast and the claim that Charles is a musician cannot both be true. Can we infer the following from them? Answer yes or no: It is not overcast or Charles is not a musician.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Thomas is an astronaut and the claim that Michael is playing a game cannot both be true. Can we infer the following from them? Answer yes or no: Thomas is not an astronaut or Michael is not playing a game.,yes
propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is raining and the claim that Elisabeth is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: It is not raining or Elisabeth is not driving a car.,yes
propositional,equivalent,associative laws,contradiction,Consider the following premises: Linda is a nurse or Michael is playing tennis or it is cold. Can we infer the following from them? Answer yes or no: Neither Linda is a nurse or Michael is playing tennis nor it is cold.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Patricia is a doctor, and Charles is making tea and it is overcast. Can we infer the following from them? Answer yes or no: The claim that Patricia is a doctor and Charles is making tea, and the claim that it is overcast cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Patricia is rich or it is overcast or it is cloudy. Can we infer the following from them? Answer yes or no: Neither Patricia is rich or it is overcast nor it is cloudy.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: William is listening to a song, and Jessica is rich and Patricia is a carpenter. Can we infer the following from them? Answer yes or no: The claim that William is listening to a song and Jessica is rich, and the claim that Patricia is a carpenter cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Michael is a politician, and it is raining and David is making tea. Can we infer the following from them? Answer yes or no: The claim that Michael is a politician and it is raining, and the claim that David is making tea cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Jennifer is a writer, and Mary is a cashier and Thomas is poor. Can we infer the following from them? Answer yes or no: The claim that Jennifer is a writer and Mary is a cashier, and the claim that Thomas is poor cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is snowing or Karen is sleeping or it is cold. Can we infer the following from them? Answer yes or no: Neither it is snowing or Karen is sleeping nor it is cold.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: John is playing tennis or Elisabeth is running or John is a police officer. Can we infer the following from them? Answer yes or no: Neither John is playing tennis or Elisabeth is running nor John is a police officer.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: James is drinking water or Michael is a janitor or it is late. Can we infer the following from them? Answer yes or no: Neither James is drinking water or Michael is a janitor nor it is late.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is overcast, and Mary is working and Barbara is a musician. Can we infer the following from them? Answer yes or no: The claim that it is overcast and Mary is working, and the claim that Barbara is a musician cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Mary is playing tennis, and Thomas is an electrician and David is a scientist. Can we infer the following from them? Answer yes or no: The claim that Mary is playing tennis and Thomas is an electrician, and the claim that David is a scientist cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Charles is writing a letter or Charles is happy or Linda is working. Can we infer the following from them? Answer yes or no: Neither Charles is writing a letter or Charles is happy nor Linda is working.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Thomas is a writer, and it is sunny and Karen is listening to a song. Can we infer the following from them? Answer yes or no: The claim that Thomas is a writer and it is sunny, and the claim that Karen is listening to a song cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is sunny or Linda is playing squash or Elisabeth is a scientist. Can we infer the following from them? Answer yes or no: Neither it is sunny or Linda is playing squash nor Elisabeth is a scientist.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is late, and Richard is a soldier and Joseph is playing a game. Can we infer the following from them? Answer yes or no: The claim that it is late and Richard is a soldier, and the claim that Joseph is playing a game cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Linda is an artist or Robert is driving a car or Karen is reading a book. Can we infer the following from them? Answer yes or no: Neither Linda is an artist or Robert is driving a car nor Karen is reading a book.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Thomas is cooking, and Charles is a cashier and Susan is an artist. Can we infer the following from them? Answer yes or no: The claim that Thomas is cooking and Charles is a cashier, and the claim that Susan is an artist cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: William is playing tennis or it is cloudy or it is sunny. Can we infer the following from them? Answer yes or no: Neither William is playing tennis or it is cloudy nor it is sunny.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Barbara is writing a letter, and it is snowing and John is an artist. Can we infer the following from them? Answer yes or no: The claim that Barbara is writing a letter and it is snowing, and the claim that John is an artist cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is overcast or Charles is a mechanic or Sarah is playing tennis. Can we infer the following from them? Answer yes or no: Neither it is overcast or Charles is a mechanic nor Sarah is playing tennis.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: James is drinking water, and it is windy and David is working. Can we infer the following from them? Answer yes or no: The claim that James is drinking water and it is windy, and the claim that David is working cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Mary is a sailor, and it is cold and it is raining. Can we infer the following from them? Answer yes or no: The claim that Mary is a sailor and it is cold, and the claim that it is raining cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is raining, and it is snowing and Richard is an astronaut. Can we infer the following from them? Answer yes or no: The claim that it is raining and it is snowing, and the claim that Richard is an astronaut cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Elisabeth is reading a book or John is taking a plane or Linda is an electrician. Can we infer the following from them? Answer yes or no: Neither Elisabeth is reading a book or John is taking a plane nor Linda is an electrician.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is sunny, and it is late and Sarah is a janitor. Can we infer the following from them? Answer yes or no: The claim that it is sunny and it is late, and the claim that Sarah is a janitor cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Mary is sad or it is cold or it is snowing. Can we infer the following from them? Answer yes or no: Neither Mary is sad or it is cold nor it is snowing.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Barbara is a nurse, and it is cloudy and Robert is a server. Can we infer the following from them? Answer yes or no: The claim that Barbara is a nurse and it is cloudy, and the claim that Robert is a server cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Susan is a taxi driver or Joseph is driving a car or it is raining. Can we infer the following from them? Answer yes or no: Neither Susan is a taxi driver or Joseph is driving a car nor it is raining.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is cold or Richard is a writer or David is a nurse. Can we infer the following from them? Answer yes or no: Neither it is cold or Richard is a writer nor David is a nurse.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is sunny or Elisabeth is playing squash or Robert is drinking water. Can we infer the following from them? Answer yes or no: Neither it is sunny or Elisabeth is playing squash nor Robert is drinking water.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Robert is taking a plane or it is late or Patricia is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither Robert is taking a plane or it is late nor Patricia is climbing a mountain.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Thomas is sleeping or it is windy or Barbara is making tea. Can we infer the following from them? Answer yes or no: Neither Thomas is sleeping or it is windy nor Barbara is making tea.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Sarah is taking a plane or Mary is an artist or William is drinking water. Can we infer the following from them? Answer yes or no: Neither Sarah is taking a plane or Mary is an artist nor William is drinking water.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Susan is playing squash or it is cloudy or Robert is running. Can we infer the following from them? Answer yes or no: Neither Susan is playing squash or it is cloudy nor Robert is running.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Susan is a bartender, and it is sunny and it is raining. Can we infer the following from them? Answer yes or no: The claim that Susan is a bartender and it is sunny, and the claim that it is raining cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Patricia is a taxi driver or Barbara is making tea or Michael is listening to a song. Can we infer the following from them? Answer yes or no: Neither Patricia is a taxi driver or Barbara is making tea nor Michael is listening to a song.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Susan is making tea or it is cold or it is cloudy. Can we infer the following from them? Answer yes or no: Neither Susan is making tea or it is cold nor it is cloudy.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is overcast or Thomas is a janitor or Robert is an office clerk. Can we infer the following from them? Answer yes or no: Neither it is overcast or Thomas is a janitor nor Robert is an office clerk.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: David is a lawyer or David is an astronaut or Susan is a taxi driver. Can we infer the following from them? Answer yes or no: Neither David is a lawyer or David is an astronaut nor Susan is a taxi driver.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is sunny, and it is cold and it is raining. Can we infer the following from them? Answer yes or no: The claim that it is sunny and it is cold, and the claim that it is raining cannot both be true.",no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Thomas is playing squash, and Jennifer is a carpenter and it is snowing. Can we infer the following from them? Answer yes or no: The claim that Thomas is playing squash and Jennifer is a carpenter, and the claim that it is snowing cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is windy or Elisabeth is playing squash or it is overcast. Can we infer the following from them? Answer yes or no: Neither it is windy or Elisabeth is playing squash nor it is overcast.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Michael is playing tennis or Elisabeth is excited or Sarah is driving a car. Can we infer the following from them? Answer yes or no: Neither Michael is playing tennis or Elisabeth is excited nor Sarah is driving a car.,no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Barbara is excited or Linda is running or Joseph is making tea. Can we infer the following from them? Answer yes or no: Neither Barbara is excited or Linda is running nor Joseph is making tea.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is late, and Linda is fast and Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: The claim that it is late and Linda is fast, and the claim that Elisabeth is a lawyer cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: John is playing squash or it is sunny or Sarah is listening to a song. Can we infer the following from them? Answer yes or no: Neither John is playing squash or it is sunny nor Sarah is listening to a song.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is cloudy, and Jennifer is climbing a mountain and Patricia is working. Can we infer the following from them? Answer yes or no: The claim that it is cloudy and Jennifer is climbing a mountain, and the claim that Patricia is working cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: Jennifer is curious or Elisabeth is working or it is sunny. Can we infer the following from them? Answer yes or no: Neither Jennifer is curious or Elisabeth is working nor it is sunny.,no
propositional,equivalent,associative laws,contradiction,"Consider the following premises: Thomas is an electrician, and Jessica is a police officer and Mary is taking a plane. Can we infer the following from them? Answer yes or no: The claim that Thomas is an electrician and Jessica is a police officer, and the claim that Mary is taking a plane cannot both be true.",no
propositional,equivalent,associative laws,contradiction,Consider the following premises: It is late or it is overcast or Elisabeth is working. Can we infer the following from them? Answer yes or no: Neither it is late or it is overcast nor Elisabeth is working.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: James is cooking. Can we infer the following from them? Answer yes or no: James is not cooking.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: William is drinking water. Can we infer the following from them? Answer yes or no: William is not drinking water.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Mary is playing a game. Can we infer the following from them? Answer yes or no: Mary is not playing a game.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Jessica is playing squash. Can we infer the following from them? Answer yes or no: Jessica is not playing squash.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Karen is playing tennis. Can we infer the following from them? Answer yes or no: Karen is not playing tennis.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Jennifer is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not a politician.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is not climbing a mountain.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is playing squash. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: John is an artist. Can we infer the following from them? Answer yes or no: John is not an artist.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Linda is playing tennis. Can we infer the following from them? Answer yes or no: Linda is not playing tennis.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is making tea. Can we infer the following from them? Answer yes or no: Barbara is not making tea.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Sarah is working. Can we infer the following from them? Answer yes or no: Sarah is not working.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is playing squash. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Mary is a bartender. Can we infer the following from them? Answer yes or no: Mary is not a bartender.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Susan is running. Can we infer the following from them? Answer yes or no: Susan is not running.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is a scientist. Can we infer the following from them? Answer yes or no: Barbara is not a scientist.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Jessica is sleeping. Can we infer the following from them? Answer yes or no: Jessica is not sleeping.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Richard is an electrician. Can we infer the following from them? Answer yes or no: Richard is not an electrician.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Linda is happy. Can we infer the following from them? Answer yes or no: Linda is not happy.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: David is writing a letter. Can we infer the following from them? Answer yes or no: David is not writing a letter.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Patricia is excited. Can we infer the following from them? Answer yes or no: Patricia is not excited.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: John is listening to a song. Can we infer the following from them? Answer yes or no: John is not listening to a song.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Thomas is an office clerk. Can we infer the following from them? Answer yes or no: Thomas is not an office clerk.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Richard is rich. Can we infer the following from them? Answer yes or no: Richard is not rich.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Elisabeth is fast. Can we infer the following from them? Answer yes or no: Elisabeth is not fast.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Charles is a writer. Can we infer the following from them? Answer yes or no: Charles is not a writer.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: John is a scientist. Can we infer the following from them? Answer yes or no: John is not a scientist.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Sarah is playing a game. Can we infer the following from them? Answer yes or no: Sarah is not playing a game.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Joseph is a server. Can we infer the following from them? Answer yes or no: Joseph is not a server.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Thomas is a writer. Can we infer the following from them? Answer yes or no: Thomas is not a writer.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Robert is playing squash. Can we infer the following from them? Answer yes or no: Robert is not playing squash.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: John is making tea. Can we infer the following from them? Answer yes or no: John is not making tea.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Patricia is a server. Can we infer the following from them? Answer yes or no: Patricia is not a server.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: David is climbing a mountain. Can we infer the following from them? Answer yes or no: David is not climbing a mountain.,no
propositional,equivalent,complement laws,contradiction,Consider the following premises: Robert is excited. Can we infer the following from them? Answer yes or no: Robert is not excited.,no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Thomas is drinking water, or Thomas is a server and it is overcast. Can we infer the following from them? Answer yes or no: The claim that Thomas is drinking water or Thomas is a server and the claim that Thomas is drinking water or it is overcast cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cold, and either it is sunny or William is playing tennis. Can we infer the following from them? Answer yes or no: Neither it is cold and it is sunny nor it is cold and William is playing tennis.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: William is fast, and either Richard is a mechanic or Patricia is a sailor. Can we infer the following from them? Answer yes or no: Neither William is fast and Richard is a mechanic nor William is fast and Patricia is a sailor.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, or Mary is making tea and Michael is taking a plane. Can we infer the following from them? Answer yes or no: The claim that it is cloudy or Mary is making tea and the claim that it is cloudy or Michael is taking a plane cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is overcast, or Mary is a scientist and it is snowing. Can we infer the following from them? Answer yes or no: The claim that it is overcast or Mary is a scientist and the claim that it is overcast or it is snowing cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jessica is a janitor, and either it is cloudy or it is overcast. Can we infer the following from them? Answer yes or no: Neither Jessica is a janitor and it is cloudy nor Jessica is a janitor and it is overcast.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Richard is sad, and either William is sleeping or Charles is curious. Can we infer the following from them? Answer yes or no: Neither Richard is sad and William is sleeping nor Richard is sad and Charles is curious.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Thomas is playing tennis, and either Susan is a poet or Sarah is a taxi driver. Can we infer the following from them? Answer yes or no: Neither Thomas is playing tennis and Susan is a poet nor Thomas is playing tennis and Sarah is a taxi driver.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Mary is bored, or it is sunny and William is poor. Can we infer the following from them? Answer yes or no: The claim that Mary is bored or it is sunny and the claim that Mary is bored or William is poor cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Thomas is fast, and either it is sunny or Michael is cooking. Can we infer the following from them? Answer yes or no: Neither Thomas is fast and it is sunny nor Thomas is fast and Michael is cooking.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jennifer is playing tennis, or James is drinking water and Sarah is taking a plane. Can we infer the following from them? Answer yes or no: The claim that Jennifer is playing tennis or James is drinking water and the claim that Jennifer is playing tennis or Sarah is taking a plane cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Patricia is poor, and either Linda is playing tennis or Jennifer is an office clerk. Can we infer the following from them? Answer yes or no: Neither Patricia is poor and Linda is playing tennis nor Patricia is poor and Jennifer is an office clerk.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is windy, or Linda is a politician and Mary is a scientist. Can we infer the following from them? Answer yes or no: The claim that it is windy or Linda is a politician and the claim that it is windy or Mary is a scientist cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is windy, or Joseph is making tea and Karen is sleeping. Can we infer the following from them? Answer yes or no: The claim that it is windy or Joseph is making tea and the claim that it is windy or Karen is sleeping cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Richard is drinking water, or it is late and Sarah is happy. Can we infer the following from them? Answer yes or no: The claim that Richard is drinking water or it is late and the claim that Richard is drinking water or Sarah is happy cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is overcast, and either Jessica is reading a book or it is windy. Can we infer the following from them? Answer yes or no: Neither it is overcast and Jessica is reading a book nor it is overcast and it is windy.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cold, and either Sarah is curious or it is late. Can we infer the following from them? Answer yes or no: Neither it is cold and Sarah is curious nor it is cold and it is late.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jennifer is listening to a song, and either it is cold or Robert is a lawyer. Can we infer the following from them? Answer yes or no: Neither Jennifer is listening to a song and it is cold nor Jennifer is listening to a song and Robert is a lawyer.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, or it is raining and Michael is a lawyer. Can we infer the following from them? Answer yes or no: The claim that it is cloudy or it is raining and the claim that it is cloudy or Michael is a lawyer cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is snowing, or David is an electrician and it is cold. Can we infer the following from them? Answer yes or no: The claim that it is snowing or David is an electrician and the claim that it is snowing or it is cold cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Charles is writing a letter, and either Patricia is playing tennis or it is snowing. Can we infer the following from them? Answer yes or no: Neither Charles is writing a letter and Patricia is playing tennis nor Charles is writing a letter and it is snowing.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Robert is climbing a mountain, or William is an electrician and it is cold. Can we infer the following from them? Answer yes or no: The claim that Robert is climbing a mountain or William is an electrician and the claim that Robert is climbing a mountain or it is cold cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Barbara is drinking water, and either it is sunny or Susan is a bartender. Can we infer the following from them? Answer yes or no: Neither Barbara is drinking water and it is sunny nor Barbara is drinking water and Susan is a bartender.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Susan is a mechanic, or Jennifer is bored and Karen is a poet. Can we infer the following from them? Answer yes or no: The claim that Susan is a mechanic or Jennifer is bored and the claim that Susan is a mechanic or Karen is a poet cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: William is an astronaut, and either Elisabeth is a sailor or it is late. Can we infer the following from them? Answer yes or no: Neither William is an astronaut and Elisabeth is a sailor nor William is an astronaut and it is late.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, and either it is snowing or it is late. Can we infer the following from them? Answer yes or no: Neither it is cloudy and it is snowing nor it is cloudy and it is late.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Charles is a lawyer, and either Patricia is a janitor or Michael is playing tennis. Can we infer the following from them? Answer yes or no: Neither Charles is a lawyer and Patricia is a janitor nor Charles is a lawyer and Michael is playing tennis.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jessica is a musician, and either Jennifer is bored or Thomas is excited. Can we infer the following from them? Answer yes or no: Neither Jessica is a musician and Jennifer is bored nor Jessica is a musician and Thomas is excited.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Richard is taking a plane, and either it is snowing or James is a nurse. Can we infer the following from them? Answer yes or no: Neither Richard is taking a plane and it is snowing nor Richard is taking a plane and James is a nurse.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, or Sarah is playing a game and Joseph is playing squash. Can we infer the following from them? Answer yes or no: The claim that it is cloudy or Sarah is playing a game and the claim that it is cloudy or Joseph is playing squash cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jennifer is sleeping, and either it is cloudy or it is cold. Can we infer the following from them? Answer yes or no: Neither Jennifer is sleeping and it is cloudy nor Jennifer is sleeping and it is cold.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is windy, or Thomas is an electrician and Michael is a poet. Can we infer the following from them? Answer yes or no: The claim that it is windy or Thomas is an electrician and the claim that it is windy or Michael is a poet cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Charles is taking a plane, or it is late and Richard is running. Can we infer the following from them? Answer yes or no: The claim that Charles is taking a plane or it is late and the claim that Charles is taking a plane or Richard is running cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: John is running, or John is playing squash and Barbara is drinking water. Can we infer the following from them? Answer yes or no: The claim that John is running or John is playing squash and the claim that John is running or Barbara is drinking water cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Robert is a police officer, and either Joseph is a sailor or it is windy. Can we infer the following from them? Answer yes or no: Neither Robert is a police officer and Joseph is a sailor nor Robert is a police officer and it is windy.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: David is excited, and either Thomas is reading a book or Elisabeth is an office clerk. Can we infer the following from them? Answer yes or no: Neither David is excited and Thomas is reading a book nor David is excited and Elisabeth is an office clerk.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Sarah is a soldier, and either it is late or Patricia is a sailor. Can we infer the following from them? Answer yes or no: Neither Sarah is a soldier and it is late nor Sarah is a soldier and Patricia is a sailor.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Joseph is an office clerk, and either Thomas is running or David is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither Joseph is an office clerk and Thomas is running nor Joseph is an office clerk and David is climbing a mountain.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cold, and either it is sunny or Patricia is cooking. Can we infer the following from them? Answer yes or no: Neither it is cold and it is sunny nor it is cold and Patricia is cooking.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Elisabeth is reading a book, and either David is sleeping or it is raining. Can we infer the following from them? Answer yes or no: Neither Elisabeth is reading a book and David is sleeping nor Elisabeth is reading a book and it is raining.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Thomas is an electrician, and either David is sleeping or James is running. Can we infer the following from them? Answer yes or no: Neither Thomas is an electrician and David is sleeping nor Thomas is an electrician and James is running.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Joseph is a carpenter, and either Thomas is working or Sarah is playing a game. Can we infer the following from them? Answer yes or no: Neither Joseph is a carpenter and Thomas is working nor Joseph is a carpenter and Sarah is playing a game.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Mary is playing tennis, and either it is sunny or Barbara is excited. Can we infer the following from them? Answer yes or no: Neither Mary is playing tennis and it is sunny nor Mary is playing tennis and Barbara is excited.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, and either it is snowing or William is a janitor. Can we infer the following from them? Answer yes or no: Neither it is cloudy and it is snowing nor it is cloudy and William is a janitor.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is late, or it is raining and Susan is playing tennis. Can we infer the following from them? Answer yes or no: The claim that it is late or it is raining and the claim that it is late or Susan is playing tennis cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Richard is an astronaut, and either Sarah is poor or Mary is writing a letter. Can we infer the following from them? Answer yes or no: Neither Richard is an astronaut and Sarah is poor nor Richard is an astronaut and Mary is writing a letter.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Susan is a politician, or it is snowing and Mary is making tea. Can we infer the following from them? Answer yes or no: The claim that Susan is a politician or it is snowing and the claim that Susan is a politician or Mary is making tea cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Michael is cooking, or it is overcast and Jessica is playing a game. Can we infer the following from them? Answer yes or no: The claim that Michael is cooking or it is overcast and the claim that Michael is cooking or Jessica is playing a game cannot both be true.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is windy, and either Thomas is a scientist or David is making tea. Can we infer the following from them? Answer yes or no: Neither it is windy and Thomas is a scientist nor it is windy and David is making tea.",no
propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cold, or Michael is an astronaut and it is windy. Can we infer the following from them? Answer yes or no: The claim that it is cold or Michael is an astronaut and the claim that it is cold or it is windy cannot both be true.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Patricia is not poor or Sarah is sleeping. Can we infer the following from them? Answer yes or no: The fact that Patricia were poor does not imply that Sarah is sleeping.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not windy or Richard is a cashier. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Richard is a cashier.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not cold or David is driving a car. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that David is driving a car.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Patricia is not working or it is late. Can we infer the following from them? Answer yes or no: The fact that Patricia works does not imply that it is late.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Elisabeth is not taking a plane or Thomas is an electrician. Can we infer the following from them? Answer yes or no: The fact that Elisabeth takes a plane does not imply that Thomas is an electrician.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Richard works, then Joseph is an astronaut. Can we infer the following from them? Answer yes or no: Neither Richard is not working nor Joseph is an astronaut.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Jessica were an artist, then David is sleeping. Can we infer the following from them? Answer yes or no: Neither Jessica is not an artist nor David is sleeping.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it rains, then Elisabeth is listening to a song. Can we infer the following from them? Answer yes or no: Neither it is not raining nor Elisabeth is listening to a song.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not snowing or it is cold. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that it is cold.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not cloudy or it is cold. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that it is cold.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If David climbs a mountain, then Thomas is poor. Can we infer the following from them? Answer yes or no: Neither David is not climbing a mountain nor Thomas is poor.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not windy or Richard is an astronaut. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Richard is an astronaut.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: David is not an artist or Jessica is a poet. Can we infer the following from them? Answer yes or no: The fact that David were an artist does not imply that Jessica is a poet.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Linda were an artist, then Linda is drinking water. Can we infer the following from them? Answer yes or no: Neither Linda is not an artist nor Linda is drinking water.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: David is not cooking or Jessica is an office clerk. Can we infer the following from them? Answer yes or no: The fact that David cooks does not imply that Jessica is an office clerk.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it snows, then it is windy. Can we infer the following from them? Answer yes or no: Neither it is not snowing nor it is windy.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If David plays squash, then Karen is a lawyer. Can we infer the following from them? Answer yes or no: Neither David is not playing squash nor Karen is a lawyer.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Elisabeth were an office clerk, then Richard is playing a game. Can we infer the following from them? Answer yes or no: Neither Elisabeth is not an office clerk nor Richard is playing a game.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Sarah is not taking a plane or it is overcast. Can we infer the following from them? Answer yes or no: The fact that Sarah takes a plane does not imply that it is overcast.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: John is not a poet or Patricia is playing squash. Can we infer the following from them? Answer yes or no: The fact that John were a poet does not imply that Patricia is playing squash.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is late, then Linda is listening to a song. Can we infer the following from them? Answer yes or no: Neither it is not late nor Linda is listening to a song.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Joseph is not a sailor or Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: The fact that Joseph were a sailor does not imply that Elisabeth is driving a car.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Michael were a writer, then it is cloudy. Can we infer the following from them? Answer yes or no: Neither Michael is not a writer nor it is cloudy.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Charles were a soldier, then it is snowing. Can we infer the following from them? Answer yes or no: Neither Charles is not a soldier nor it is snowing.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Jessica is not playing tennis or Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: The fact that Jessica plays tennis does not imply that Jennifer is listening to a song.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not snowing or Jennifer is fast. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that Jennifer is fast.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Robert is not making tea or it is sunny. Can we infer the following from them? Answer yes or no: The fact that Robert makes tea does not imply that it is sunny.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Michael is not a janitor or it is late. Can we infer the following from them? Answer yes or no: The fact that Michael were a janitor does not imply that it is late.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Joseph were an artist, then Karen is a politician. Can we infer the following from them? Answer yes or no: Neither Joseph is not an artist nor Karen is a politician.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Barbara is not a poet or Richard is driving a car. Can we infer the following from them? Answer yes or no: The fact that Barbara were a poet does not imply that Richard is driving a car.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Patricia is not fast or Mary is playing a game. Can we infer the following from them? Answer yes or no: The fact that Patricia were fast does not imply that Mary is playing a game.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not windy or Richard is a nurse. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Richard is a nurse.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: John is not making tea or Charles is a scientist. Can we infer the following from them? Answer yes or no: The fact that John makes tea does not imply that Charles is a scientist.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is overcast, then it is cloudy. Can we infer the following from them? Answer yes or no: Neither it is not overcast nor it is cloudy.",no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not raining or Mary is playing a game. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that Mary is playing a game.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not windy or Karen is a police officer. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Karen is a police officer.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Thomas is not a nurse or Richard is driving a car. Can we infer the following from them? Answer yes or no: The fact that Thomas were a nurse does not imply that Richard is driving a car.,no
propositional,equivalent,conditional laws,contradiction,Consider the following premises: Robert is not taking a plane or Joseph is a cashier. Can we infer the following from them? Answer yes or no: The fact that Robert takes a plane does not imply that Joseph is a cashier.,no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Jennifer were a soldier, then it is overcast. Can we infer the following from them? Answer yes or no: Neither Jennifer is not a soldier nor it is overcast.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is cloudy, then it is raining. Can we infer the following from them? Answer yes or no: Neither it is not cloudy nor it is raining.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If John writes a letter, then James is an electrician. Can we infer the following from them? Answer yes or no: Neither John is not writing a letter nor James is an electrician.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Mary were a politician, then Barbara is making tea. Can we infer the following from them? Answer yes or no: Neither Mary is not a politician nor Barbara is making tea.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If David reads a book, then it is windy. Can we infer the following from them? Answer yes or no: Neither David is not reading a book nor it is windy.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is windy, then David is running. Can we infer the following from them? Answer yes or no: Neither it is not windy nor David is running.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Karen were a janitor, then Jennifer is an office clerk. Can we infer the following from them? Answer yes or no: Neither Karen is not a janitor nor Jennifer is an office clerk.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Richard sleeps, then it is late. Can we infer the following from them? Answer yes or no: Neither Richard is not sleeping nor it is late.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Elisabeth listens to a song, then Jennifer is a sailor. Can we infer the following from them? Answer yes or no: Neither Elisabeth is not listening to a song nor Jennifer is a sailor.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If David drives a car, then William is running. Can we infer the following from them? Answer yes or no: Neither David is not driving a car nor William is running.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Patricia were a soldier, then it is raining. Can we infer the following from them? Answer yes or no: Neither Patricia is not a soldier nor it is raining.",no
propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is cloudy, then Linda is cooking. Can we infer the following from them? Answer yes or no: Neither it is not cloudy nor Linda is cooking.",no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is playing tennis or Mary is taking a plane. Can we infer the following from them? Answer yes or no: Neither Mary is taking a plane nor Robert is playing tennis.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is bored or it is windy. Can we infer the following from them? Answer yes or no: Neither it is windy nor Susan is bored.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cloudy or Joseph is playing tennis. Can we infer the following from them? Answer yes or no: Neither Joseph is playing tennis nor it is cloudy.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cloudy or Barbara is working. Can we infer the following from them? Answer yes or no: Neither Barbara is working nor it is cloudy.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cloudy or Sarah is bored. Can we infer the following from them? Answer yes or no: Neither Sarah is bored nor it is cloudy.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is a nurse or David is a sailor. Can we infer the following from them? Answer yes or no: Neither David is a sailor nor Linda is a nurse.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Thomas is a sailor and Sarah is playing a game. Can we infer the following from them? Answer yes or no: The claim that Sarah is playing a game and the claim that Thomas is a sailor cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Thomas is a server and Robert is drinking water. Can we infer the following from them? Answer yes or no: The claim that Robert is drinking water and the claim that Thomas is a server cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Karen is excited and it is overcast. Can we infer the following from them? Answer yes or no: The claim that it is overcast and the claim that Karen is excited cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is drinking water and Jessica is working. Can we infer the following from them? Answer yes or no: The claim that Jessica is working and the claim that Susan is drinking water cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is late and Richard is writing a letter. Can we infer the following from them? Answer yes or no: The claim that Richard is writing a letter and the claim that it is late cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is a mechanic and Richard is a bartender. Can we infer the following from them? Answer yes or no: The claim that Richard is a bartender and the claim that Linda is a mechanic cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cold or John is a bartender. Can we infer the following from them? Answer yes or no: Neither John is a bartender nor it is cold.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is sleeping or it is sunny. Can we infer the following from them? Answer yes or no: Neither it is sunny nor Susan is sleeping.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is late or it is windy. Can we infer the following from them? Answer yes or no: Neither it is windy nor it is late.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Mary is drinking water and it is raining. Can we infer the following from them? Answer yes or no: The claim that it is raining and the claim that Mary is drinking water cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: James is happy and Karen is a server. Can we infer the following from them? Answer yes or no: The claim that Karen is a server and the claim that James is happy cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: David is sleeping or Mary is a cashier. Can we infer the following from them? Answer yes or no: Neither Mary is a cashier nor David is sleeping.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is overcast and Linda is reading a book. Can we infer the following from them? Answer yes or no: The claim that Linda is reading a book and the claim that it is overcast cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Patricia is rich or Jennifer is drinking water. Can we infer the following from them? Answer yes or no: Neither Jennifer is drinking water nor Patricia is rich.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is late and Charles is an artist. Can we infer the following from them? Answer yes or no: The claim that Charles is an artist and the claim that it is late cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cold and Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: The claim that Elisabeth is driving a car and the claim that it is cold cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is an artist or David is an electrician. Can we infer the following from them? Answer yes or no: Neither David is an electrician nor Robert is an artist.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is sunny and it is raining. Can we infer the following from them? Answer yes or no: The claim that it is raining and the claim that it is sunny cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is climbing a mountain or Linda is cooking. Can we infer the following from them? Answer yes or no: Neither Linda is cooking nor Susan is climbing a mountain.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is snowing or William is writing a letter. Can we infer the following from them? Answer yes or no: Neither William is writing a letter nor it is snowing.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: James is a cashier or it is overcast. Can we infer the following from them? Answer yes or no: Neither it is overcast nor James is a cashier.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is sunny or James is drinking water. Can we infer the following from them? Answer yes or no: Neither James is drinking water nor it is sunny.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is a sailor or James is sad. Can we infer the following from them? Answer yes or no: Neither James is sad nor Linda is a sailor.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cloudy or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor it is cloudy.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: William is fast and Patricia is a server. Can we infer the following from them? Answer yes or no: The claim that Patricia is a server and the claim that William is fast cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: James is running or it is raining. Can we infer the following from them? Answer yes or no: Neither it is raining nor James is running.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: James is poor or Charles is an electrician. Can we infer the following from them? Answer yes or no: Neither Charles is an electrician nor James is poor.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Jennifer is happy and it is overcast. Can we infer the following from them? Answer yes or no: The claim that it is overcast and the claim that Jennifer is happy cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is running or it is overcast. Can we infer the following from them? Answer yes or no: Neither it is overcast nor Susan is running.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Elisabeth is a poet and David is a police officer. Can we infer the following from them? Answer yes or no: The claim that David is a police officer and the claim that Elisabeth is a poet cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: William is rich and Susan is a poet. Can we infer the following from them? Answer yes or no: The claim that Susan is a poet and the claim that William is rich cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Elisabeth is making tea and it is cold. Can we infer the following from them? Answer yes or no: The claim that it is cold and the claim that Elisabeth is making tea cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: John is curious or it is cloudy. Can we infer the following from them? Answer yes or no: Neither it is cloudy nor John is curious.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Elisabeth is a taxi driver or William is listening to a song. Can we infer the following from them? Answer yes or no: Neither William is listening to a song nor Elisabeth is a taxi driver.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is snowing or Charles is a server. Can we infer the following from them? Answer yes or no: Neither Charles is a server nor it is snowing.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is snowing or Linda is playing squash. Can we infer the following from them? Answer yes or no: Neither Linda is playing squash nor it is snowing.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Susan is poor and Jennifer is a server. Can we infer the following from them? Answer yes or no: The claim that Jennifer is a server and the claim that Susan is poor cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Karen is sleeping and it is cloudy. Can we infer the following from them? Answer yes or no: The claim that it is cloudy and the claim that Karen is sleeping cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is playing tennis and Patricia is sad. Can we infer the following from them? Answer yes or no: The claim that Patricia is sad and the claim that Linda is playing tennis cannot both be true.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Charles is a politician or Robert is sleeping. Can we infer the following from them? Answer yes or no: Neither Robert is sleeping nor Charles is a politician.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is raining or David is excited. Can we infer the following from them? Answer yes or no: Neither David is excited nor it is raining.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Joseph is curious or it is cold. Can we infer the following from them? Answer yes or no: Neither it is cold nor Joseph is curious.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Karen is playing tennis or Susan is a sailor. Can we infer the following from them? Answer yes or no: Neither Susan is a sailor nor Karen is playing tennis.,no
propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is taking a plane or it is cold. Can we infer the following from them? Answer yes or no: Neither it is cold nor Robert is taking a plane.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Sarah is reading a book and Sarah is reading a book. Can we infer the following from them? Answer yes or no: Sarah is not reading a book.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is cooking and Richard is cooking. Can we infer the following from them? Answer yes or no: Richard is not cooking.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Mary is playing squash or Mary is playing squash. Can we infer the following from them? Answer yes or no: Mary is not playing squash.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Charles is running and Charles is running. Can we infer the following from them? Answer yes or no: Charles is not running.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Robert is reading a book and Robert is reading a book. Can we infer the following from them? Answer yes or no: Robert is not reading a book.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is snowing and it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Michael is working or Michael is working. Can we infer the following from them? Answer yes or no: Michael is not working.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Charles is rich or Charles is rich. Can we infer the following from them? Answer yes or no: Charles is not rich.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: John is playing squash or John is playing squash. Can we infer the following from them? Answer yes or no: John is not playing squash.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is snowing or it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: James is a lawyer or James is a lawyer. Can we infer the following from them? Answer yes or no: James is not a lawyer.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Mary is a lawyer and Mary is a lawyer. Can we infer the following from them? Answer yes or no: Mary is not a lawyer.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: John is an office clerk and John is an office clerk. Can we infer the following from them? Answer yes or no: John is not an office clerk.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is snowing and it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Karen is an office clerk or Karen is an office clerk. Can we infer the following from them? Answer yes or no: Karen is not an office clerk.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Robert is bored and Robert is bored. Can we infer the following from them? Answer yes or no: Robert is not bored.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Jessica is drinking water and Jessica is drinking water. Can we infer the following from them? Answer yes or no: Jessica is not drinking water.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Susan is working or Susan is working. Can we infer the following from them? Answer yes or no: Susan is not working.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Joseph is a lawyer or Joseph is a lawyer. Can we infer the following from them? Answer yes or no: Joseph is not a lawyer.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Michael is playing a game or Michael is playing a game. Can we infer the following from them? Answer yes or no: Michael is not playing a game.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is snowing or it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is sunny or it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is windy and it is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Jennifer is a writer and Jennifer is a writer. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: William is driving a car and William is driving a car. Can we infer the following from them? Answer yes or no: William is not driving a car.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is playing squash and Richard is playing squash. Can we infer the following from them? Answer yes or no: Richard is not playing squash.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Barbara is an astronaut and Barbara is an astronaut. Can we infer the following from them? Answer yes or no: Barbara is not an astronaut.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Jennifer is taking a plane and Jennifer is taking a plane. Can we infer the following from them? Answer yes or no: Jennifer is not taking a plane.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is raining and it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Mary is a carpenter or Mary is a carpenter. Can we infer the following from them? Answer yes or no: Mary is not a carpenter.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Patricia is a mechanic and Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Patricia is not a mechanic.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Karen is a doctor or Karen is a doctor. Can we infer the following from them? Answer yes or no: Karen is not a doctor.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: David is a taxi driver or David is a taxi driver. Can we infer the following from them? Answer yes or no: David is not a taxi driver.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Charles is fast or Charles is fast. Can we infer the following from them? Answer yes or no: Charles is not fast.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Sarah is a server and Sarah is a server. Can we infer the following from them? Answer yes or no: Sarah is not a server.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Thomas is playing squash or Thomas is playing squash. Can we infer the following from them? Answer yes or no: Thomas is not playing squash.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Patricia is an office clerk and Patricia is an office clerk. Can we infer the following from them? Answer yes or no: Patricia is not an office clerk.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is raining and it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is overcast and it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Barbara is running or Barbara is running. Can we infer the following from them? Answer yes or no: Barbara is not running.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Thomas is taking a plane or Thomas is taking a plane. Can we infer the following from them? Answer yes or no: Thomas is not taking a plane.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Robert is playing tennis or Robert is playing tennis. Can we infer the following from them? Answer yes or no: Robert is not playing tennis.,no
propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is a politician and Richard is a politician. Can we infer the following from them? Answer yes or no: Richard is not a politician.,no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is windy if and only if Jennifer is an office clerk. Can we infer the following from them? Answer yes or no: The claim that if it is windy, then Jennifer is an office clerk and the claim that if Jennifer were an office clerk, then it is windy cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Mary is working if and only if it is late. Can we infer the following from them? Answer yes or no: The claim that if Mary works, then it is late and the claim that if it is late, then Mary is working cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Joseph is a lawyer if and only if it is raining. Can we infer the following from them? Answer yes or no: The claim that if Joseph were a lawyer, then it is raining and the claim that if it rains, then Joseph is a lawyer cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Sarah were an artist, then it is raining and if it rains, then Sarah is an artist. Can we infer the following from them? Answer yes or no: It is not true that Sarah is an artist if and only if it is raining.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Mary reads a book, then James is making tea and if James makes tea, then Mary is reading a book. Can we infer the following from them? Answer yes or no: It is not true that Mary is reading a book if and only if James is making tea.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Michael were a doctor, then William is drinking water and if William drinks water, then Michael is a doctor. Can we infer the following from them? Answer yes or no: It is not true that Michael is a doctor if and only if William is drinking water.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Charles is working if and only if it is raining. Can we infer the following from them? Answer yes or no: The claim that if Charles works, then it is raining and the claim that if it rains, then Charles is working cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is cloudy if and only if Joseph is rich. Can we infer the following from them? Answer yes or no: The claim that if it is cloudy, then Joseph is rich and the claim that if Joseph were rich, then it is cloudy cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Barbara is happy if and only if David is reading a book. Can we infer the following from them? Answer yes or no: The claim that if Barbara were happy, then David is reading a book and the claim that if David reads a book, then Barbara is happy cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is windy if and only if it is snowing. Can we infer the following from them? Answer yes or no: The claim that if it is windy, then it is snowing and the claim that if it snows, then it is windy cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is sunny if and only if Joseph is making tea. Can we infer the following from them? Answer yes or no: The claim that if it is sunny, then Joseph is making tea and the claim that if Joseph makes tea, then it is sunny cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is cold if and only if Richard is a bartender. Can we infer the following from them? Answer yes or no: The claim that if it is cold, then Richard is a bartender and the claim that if Richard were a bartender, then it is cold cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Jennifer is curious if and only if Michael is a politician. Can we infer the following from them? Answer yes or no: The claim that if Jennifer were curious, then Michael is a politician and the claim that if Michael were a politician, then Jennifer is curious cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: John is cooking if and only if it is snowing. Can we infer the following from them? Answer yes or no: The claim that if John cooks, then it is snowing and the claim that if it snows, then John is cooking cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Susan is writing a letter if and only if Jessica is a server. Can we infer the following from them? Answer yes or no: The claim that if Susan writes a letter, then Jessica is a server and the claim that if Jessica were a server, then Susan is writing a letter cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Mary listens to a song, then Robert is an electrician and if Robert were an electrician, then Mary is listening to a song. Can we infer the following from them? Answer yes or no: It is not true that Mary is listening to a song if and only if Robert is an electrician.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Sarah is running if and only if it is raining. Can we infer the following from them? Answer yes or no: The claim that if Sarah goes running, then it is raining and the claim that if it rains, then Sarah is running cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Karen is a taxi driver if and only if it is snowing. Can we infer the following from them? Answer yes or no: The claim that if Karen were a taxi driver, then it is snowing and the claim that if it snows, then Karen is a taxi driver cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Susan is making tea if and only if Robert is a sailor. Can we infer the following from them? Answer yes or no: The claim that if Susan makes tea, then Robert is a sailor and the claim that if Robert were a sailor, then Susan is making tea cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Karen is playing squash if and only if it is late. Can we infer the following from them? Answer yes or no: The claim that if Karen plays squash, then it is late and the claim that if it is late, then Karen is playing squash cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it rains, then it is snowing and if it snows, then it is raining. Can we infer the following from them? Answer yes or no: It is not true that it is raining if and only if it is snowing.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Michael is writing a letter if and only if it is raining. Can we infer the following from them? Answer yes or no: The claim that if Michael writes a letter, then it is raining and the claim that if it rains, then Michael is writing a letter cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is late, then it is raining and if it rains, then it is late. Can we infer the following from them? Answer yes or no: It is not true that it is late if and only if it is raining.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If David plays squash, then Patricia is writing a letter and if Patricia writes a letter, then David is playing squash. Can we infer the following from them? Answer yes or no: It is not true that David is playing squash if and only if Patricia is writing a letter.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: David is a server if and only if Thomas is making tea. Can we infer the following from them? Answer yes or no: The claim that if David were a server, then Thomas is making tea and the claim that if Thomas makes tea, then David is a server cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Joseph cooks, then it is sunny and if it is sunny, then Joseph is cooking. Can we infer the following from them? Answer yes or no: It is not true that Joseph is cooking if and only if it is sunny.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Susan is driving a car if and only if Elisabeth is running. Can we infer the following from them? Answer yes or no: The claim that if Susan drives a car, then Elisabeth is running and the claim that if Elisabeth goes running, then Susan is driving a car cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is late if and only if David is a musician. Can we infer the following from them? Answer yes or no: The claim that if it is late, then David is a musician and the claim that if David were a musician, then it is late cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If William climbs a mountain, then Mary is drinking water and if Mary drinks water, then William is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not true that William is climbing a mountain if and only if Mary is drinking water.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is late, then Mary is a mechanic and if Mary were a mechanic, then it is late. Can we infer the following from them? Answer yes or no: It is not true that it is late if and only if Mary is a mechanic.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Barbara were an artist, then it is sunny and if it is sunny, then Barbara is an artist. Can we infer the following from them? Answer yes or no: It is not true that Barbara is an artist if and only if it is sunny.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Elisabeth were a poet, then it is raining and if it rains, then Elisabeth is a poet. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is a poet if and only if it is raining.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Elisabeth plays a game, then William is drinking water and if William drinks water, then Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is playing a game if and only if William is drinking water.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Elisabeth sleeps, then it is cloudy and if it is cloudy, then Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is sleeping if and only if it is cloudy.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Joseph is happy if and only if Jennifer is sleeping. Can we infer the following from them? Answer yes or no: The claim that if Joseph were happy, then Jennifer is sleeping and the claim that if Jennifer sleeps, then Joseph is happy cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Jessica is making tea if and only if it is snowing. Can we infer the following from them? Answer yes or no: The claim that if Jessica makes tea, then it is snowing and the claim that if it snows, then Jessica is making tea cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is cloudy, then William is working and if William works, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not true that it is cloudy if and only if William is working.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Karen is making tea if and only if Elisabeth is a police officer. Can we infer the following from them? Answer yes or no: The claim that if Karen makes tea, then Elisabeth is a police officer and the claim that if Elisabeth were a police officer, then Karen is making tea cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Karen is excited if and only if Joseph is poor. Can we infer the following from them? Answer yes or no: The claim that if Karen were excited, then Joseph is poor and the claim that if Joseph were poor, then Karen is excited cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is overcast, then it is sunny and if it is sunny, then it is overcast. Can we infer the following from them? Answer yes or no: It is not true that it is overcast if and only if it is sunny.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is sunny if and only if Joseph is drinking water. Can we infer the following from them? Answer yes or no: The claim that if it is sunny, then Joseph is drinking water and the claim that if Joseph drinks water, then it is sunny cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Thomas writes a letter, then it is cold and if it is cold, then Thomas is writing a letter. Can we infer the following from them? Answer yes or no: It is not true that Thomas is writing a letter if and only if it is cold.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Karen were a police officer, then it is late and if it is late, then Karen is a police officer. Can we infer the following from them? Answer yes or no: It is not true that Karen is a police officer if and only if it is late.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is snowing if and only if Joseph is taking a plane. Can we infer the following from them? Answer yes or no: The claim that if it snows, then Joseph is taking a plane and the claim that if Joseph takes a plane, then it is snowing cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is overcast, then Sarah is a politician and if Sarah were a politician, then it is overcast. Can we infer the following from them? Answer yes or no: It is not true that it is overcast if and only if Sarah is a politician.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Susan is curious if and only if Patricia is a politician. Can we infer the following from them? Answer yes or no: The claim that if Susan were curious, then Patricia is a politician and the claim that if Patricia were a politician, then Susan is curious cannot both be true.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Karen goes running, then Michael is a musician and if Michael were a musician, then Karen is running. Can we infer the following from them? Answer yes or no: It is not true that Karen is running if and only if Michael is a musician.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Elisabeth were a writer, then Sarah is playing a game and if Sarah plays a game, then Elisabeth is a writer. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is a writer if and only if Sarah is playing a game.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it snows, then Linda is taking a plane and if Linda takes a plane, then it is snowing. Can we infer the following from them? Answer yes or no: It is not true that it is snowing if and only if Linda is taking a plane.",no
propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is windy, then David is sleeping and if David sleeps, then it is windy. Can we infer the following from them? Answer yes or no: It is not true that it is windy if and only if David is sleeping.",no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is raining and the claim that Elisabeth is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not raining nor Elisabeth is not a lawyer.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Mary is playing squash and the claim that Thomas is a politician cannot both be true. Can we infer the following from them? Answer yes or no: Neither Mary is not playing squash nor Thomas is not a politician.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Joseph is playing squash and the claim that Patricia is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: Neither Joseph is not playing squash nor Patricia is not driving a car.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Robert is a writer nor William is playing a game. Can we infer the following from them? Answer yes or no: The claim that Robert is not a writer and the claim that William is not playing a game cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Jessica is drinking water nor Jennifer is a soldier. Can we infer the following from them? Answer yes or no: The claim that Jessica is not drinking water and the claim that Jennifer is not a soldier cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is raining nor Thomas is bored. Can we infer the following from them? Answer yes or no: The claim that it is not raining and the claim that Thomas is not bored cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is raining and the claim that Mary is excited cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not raining nor Mary is not excited.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is cold nor William is driving a car. Can we infer the following from them? Answer yes or no: The claim that it is not cold and the claim that William is not driving a car cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Elisabeth is running and the claim that it is overcast cannot both be true. Can we infer the following from them? Answer yes or no: Neither Elisabeth is not running nor it is not overcast.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Jessica is a soldier and the claim that Sarah is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: Neither Jessica is not a soldier nor Sarah is not a mechanic.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Susan is playing tennis and the claim that Mary is excited cannot both be true. Can we infer the following from them? Answer yes or no: Neither Susan is not playing tennis nor Mary is not excited.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that William is a janitor and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: Neither William is not a janitor nor it is not cold.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither David is playing squash nor Jennifer is working. Can we infer the following from them? Answer yes or no: The claim that David is not playing squash and the claim that Jennifer is not working cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Elisabeth is working nor Jennifer is a taxi driver. Can we infer the following from them? Answer yes or no: The claim that Elisabeth is not working and the claim that Jennifer is not a taxi driver cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Barbara is sad nor James is making tea. Can we infer the following from them? Answer yes or no: The claim that Barbara is not sad and the claim that James is not making tea cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Jennifer is a cashier nor Charles is listening to a song. Can we infer the following from them? Answer yes or no: The claim that Jennifer is not a cashier and the claim that Charles is not listening to a song cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is snowing and the claim that Robert is taking a plane cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not snowing nor Robert is not taking a plane.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Robert is sleeping and the claim that it is overcast cannot both be true. Can we infer the following from them? Answer yes or no: Neither Robert is not sleeping nor it is not overcast.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Susan is making tea nor Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: The claim that Susan is not making tea and the claim that Elisabeth is not a soldier cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that John is reading a book and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: Neither John is not reading a book nor it is not late.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Jennifer is working and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: Neither Jennifer is not working nor it is not cloudy.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is windy nor it is sunny. Can we infer the following from them? Answer yes or no: The claim that it is not windy and the claim that it is not sunny cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither James is sleeping nor it is snowing. Can we infer the following from them? Answer yes or no: The claim that James is not sleeping and the claim that it is not snowing cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Jessica is playing a game and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: Neither Jessica is not playing a game nor it is not late.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is late nor Jessica is a politician. Can we infer the following from them? Answer yes or no: The claim that it is not late and the claim that Jessica is not a politician cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Charles is playing a game and the claim that it is snowing cannot both be true. Can we infer the following from them? Answer yes or no: Neither Charles is not playing a game nor it is not snowing.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Charles is poor nor Barbara is taking a plane. Can we infer the following from them? Answer yes or no: The claim that Charles is not poor and the claim that Barbara is not taking a plane cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Sarah is a cashier nor Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: The claim that Sarah is not a cashier and the claim that Elisabeth is not taking a plane cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is overcast nor John is curious. Can we infer the following from them? Answer yes or no: The claim that it is not overcast and the claim that John is not curious cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that John is drinking water and the claim that John is a poet cannot both be true. Can we infer the following from them? Answer yes or no: Neither John is not drinking water nor John is not a poet.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Charles is playing squash and the claim that Mary is a taxi driver cannot both be true. Can we infer the following from them? Answer yes or no: Neither Charles is not playing squash nor Mary is not a taxi driver.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that David is a lawyer and the claim that Mary is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: Neither David is not a lawyer nor Mary is not a cashier.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither William is bored nor Joseph is a janitor. Can we infer the following from them? Answer yes or no: The claim that William is not bored and the claim that Joseph is not a janitor cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Robert is an office clerk nor John is drinking water. Can we infer the following from them? Answer yes or no: The claim that Robert is not an office clerk and the claim that John is not drinking water cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is windy and the claim that William is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not windy nor William is not a soldier.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is raining and the claim that it is windy cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not raining nor it is not windy.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is raining and the claim that Robert is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not raining nor Robert is not a sailor.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Patricia is taking a plane and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: Neither Patricia is not taking a plane nor it is not late.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Robert is running nor it is late. Can we infer the following from them? Answer yes or no: The claim that Robert is not running and the claim that it is not late cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Charles is climbing a mountain nor it is sunny. Can we infer the following from them? Answer yes or no: The claim that Charles is not climbing a mountain and the claim that it is not sunny cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Barbara is playing squash and the claim that William is working cannot both be true. Can we infer the following from them? Answer yes or no: Neither Barbara is not playing squash nor William is not working.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Jennifer is taking a plane and the claim that David is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: Neither Jennifer is not taking a plane nor David is not a sailor.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is sunny and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not sunny nor it is not cold.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Richard is driving a car nor it is overcast. Can we infer the following from them? Answer yes or no: The claim that Richard is not driving a car and the claim that it is not overcast cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Barbara is an astronaut nor Linda is a carpenter. Can we infer the following from them? Answer yes or no: The claim that Barbara is not an astronaut and the claim that Linda is not a carpenter cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that William is reading a book and the claim that Karen is sleeping cannot both be true. Can we infer the following from them? Answer yes or no: Neither William is not reading a book nor Karen is not sleeping.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Joseph is cooking nor it is sunny. Can we infer the following from them? Answer yes or no: The claim that Joseph is not cooking and the claim that it is not sunny cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Jessica is an electrician nor David is fast. Can we infer the following from them? Answer yes or no: The claim that Jessica is not an electrician and the claim that David is not fast cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is raining nor John is an electrician. Can we infer the following from them? Answer yes or no: The claim that it is not raining and the claim that John is not an electrician cannot both be true.,no
propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Jessica is listening to a song nor it is overcast. Can we infer the following from them? Answer yes or no: The claim that Jessica is not listening to a song and the claim that it is not overcast cannot both be true.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: James is reading a book or Barbara is playing squash or it is sunny. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is cloudy and Mary is taking a plane and Jennifer is a mechanic. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing and Susan is drinking water and it is sunny. Can we infer the following from them? Answer yes or no: Sarah is sleeping.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Mary is a bartender or James is listening to a song or it is windy. Can we infer the following from them? Answer yes or no: Susan is a scientist.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Jessica is writing a letter or it is raining or Elisabeth is a musician. Can we infer the following from them? Answer yes or no: William is not playing squash.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Linda is rich and William is driving a car and Patricia is cooking. Can we infer the following from them? Answer yes or no: Joseph is reading a book.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing and Karen is making tea and John is a mechanic. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is overcast or it is cloudy or it is snowing. Can we infer the following from them? Answer yes or no: Thomas is not a mechanic.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Robert is playing tennis and David is making tea and Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is writing a letter.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Patricia is cooking or Susan is running or it is snowing. Can we infer the following from them? Answer yes or no: David is excited.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is raining and Jennifer is sleeping and it is windy. Can we infer the following from them? Answer yes or no: Karen is a nurse.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: James is listening to a song and Barbara is fast and Susan is cooking. Can we infer the following from them? Answer yes or no: Robert is a politician.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: James is listening to a song and Elisabeth is reading a book and Joseph is playing tennis. Can we infer the following from them? Answer yes or no: Linda is a musician.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Karen is reading a book or it is cold or it is sunny. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Patricia is a janitor or Richard is an artist or James is excited. Can we infer the following from them? Answer yes or no: James is a cashier.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Thomas is fast and Patricia is listening to a song and Michael is playing a game. Can we infer the following from them? Answer yes or no: Thomas is drinking water.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Jessica is a writer and it is sunny and it is cold. Can we infer the following from them? Answer yes or no: Richard is playing tennis.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Joseph is listening to a song and it is windy and Jessica is a doctor. Can we infer the following from them? Answer yes or no: Jessica is an office clerk.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: John is playing tennis and Jessica is a janitor and it is late. Can we infer the following from them? Answer yes or no: Michael is not a carpenter.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Richard is playing a game and it is cloudy and Mary is a janitor. Can we infer the following from them? Answer yes or no: Elisabeth is not driving a car.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: David is climbing a mountain and Jennifer is working and it is overcast. Can we infer the following from them? Answer yes or no: Charles is running.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Karen is listening to a song and Thomas is a mechanic and Linda is a lawyer. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing or Linda is a writer or Jennifer is drinking water. Can we infer the following from them? Answer yes or no: Thomas is driving a car.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Mary is playing tennis and it is raining and it is snowing. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is raining and it is overcast and Patricia is a cashier. Can we infer the following from them? Answer yes or no: Charles is not taking a plane.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is overcast or Sarah is a taxi driver or Joseph is a politician. Can we infer the following from them? Answer yes or no: Michael is not sleeping.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Susan is a police officer or Karen is a lawyer or Sarah is playing squash. Can we infer the following from them? Answer yes or no: Jessica is a cashier.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is overcast or Jessica is reading a book or John is a taxi driver. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Karen is a politician or Barbara is playing squash or it is windy. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Barbara is running and Thomas is a police officer and John is playing a game. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: John is playing squash or Thomas is a police officer or it is late. Can we infer the following from them? Answer yes or no: Joseph is fast.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing and Elisabeth is a politician and Karen is making tea. Can we infer the following from them? Answer yes or no: Thomas is a carpenter.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is windy or it is late or Sarah is a janitor. Can we infer the following from them? Answer yes or no: Michael is not a bartender.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing or David is a police officer or it is windy. Can we infer the following from them? Answer yes or no: Richard is rich.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Mary is listening to a song and Sarah is a cashier and Mary is a police officer. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is overcast and it is cloudy and Barbara is listening to a song. Can we infer the following from them? Answer yes or no: Linda is not drinking water.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: John is listening to a song or it is windy or Karen is playing a game. Can we infer the following from them? Answer yes or no: David is sad.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Robert is climbing a mountain or Elisabeth is playing a game or it is raining. Can we infer the following from them? Answer yes or no: Richard is not a lawyer.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is raining or William is working or Elisabeth is an astronaut. Can we infer the following from them? Answer yes or no: Thomas is cooking.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Richard is cooking or Susan is playing squash or Charles is rich. Can we infer the following from them? Answer yes or no: Elisabeth is not taking a plane.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: David is running and Jennifer is a writer and it is cloudy. Can we infer the following from them? Answer yes or no: Michael is drinking water.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Patricia is a taxi driver or it is snowing or Charles is listening to a song. Can we infer the following from them? Answer yes or no: Robert is not a police officer.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Elisabeth is playing tennis or Patricia is running or it is raining. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: John is drinking water or Charles is cooking or Richard is writing a letter. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Richard is a musician or it is overcast or it is cloudy. Can we infer the following from them? Answer yes or no: Karen is a janitor.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: It is sunny or it is cloudy or Jennifer is an artist. Can we infer the following from them? Answer yes or no: Jennifer is playing tennis.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Joseph is working or it is late or it is windy. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Thomas is sleeping or Barbara is sad or it is late. Can we infer the following from them? Answer yes or no: Patricia is not excited.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Thomas is a poet and Michael is working and Robert is an astronaut. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,associative laws,unrelated,Consider the following premises: Robert is a taxi driver and Richard is poor and Susan is a nurse. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: Charles is driving a car.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Linda is drinking water. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Susan is a musician. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Jessica is driving a car. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: James is an artist. Can we infer the following from them? Answer yes or no: Joseph is not working.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Linda is an artist. Can we infer the following from them? Answer yes or no: William is not excited.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Susan is making tea. Can we infer the following from them? Answer yes or no: Charles is a cashier.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Linda is playing a game. Can we infer the following from them? Answer yes or no: Sarah is not an electrician.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Elisabeth is making tea. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Jennifer is a lawyer. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Joseph is a cashier. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Michael is playing squash. Can we infer the following from them? Answer yes or no: Elisabeth is not playing tennis.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: William is an electrician. Can we infer the following from them? Answer yes or no: Michael is a cashier.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Joseph is a scientist.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: Elisabeth is fast.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Thomas is an office clerk. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Thomas is not happy.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: David is a janitor. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: James is playing a game.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Thomas is listening to a song. Can we infer the following from them? Answer yes or no: William is not playing a game.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: James is sleeping.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: James is driving a car. Can we infer the following from them? Answer yes or no: Linda is a soldier.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Thomas is listening to a song. Can we infer the following from them? Answer yes or no: Elisabeth is not rich.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Sarah is working. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Jessica is cooking.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: Patricia is not listening to a song.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Karen is a janitor.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: Mary is not listening to a song.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: Charles is not a taxi driver.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: Richard is not a taxi driver.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: James is a mechanic. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: James is a nurse.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: John is not rich.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Mary is a musician. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: James is cooking. Can we infer the following from them? Answer yes or no: David is a poet.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: Thomas is taking a plane.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Robert is a lawyer. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Mary is excited. Can we infer the following from them? Answer yes or no: Sarah is writing a letter.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Michael is a mechanic. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Joseph is a lawyer. Can we infer the following from them? Answer yes or no: Linda is not running.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: Jennifer is an astronaut.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Mary is a mechanic. Can we infer the following from them? Answer yes or no: Robert is working.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: Charles is a politician. Can we infer the following from them? Answer yes or no: William is not taking a plane.,no
propositional,equivalent,complement laws,unrelated,Consider the following premises: John is playing squash. Can we infer the following from them? Answer yes or no: Sarah is sleeping.,no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Thomas is bored, and either it is overcast or it is sunny. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Barbara is climbing a mountain, and either Susan is a sailor or it is cold. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Jessica is taking a plane, or it is overcast and Elisabeth is an office clerk. Can we infer the following from them? Answer yes or no: Robert is not working.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: James is sad, and either John is playing a game or David is drinking water. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Sarah is a musician, or it is sunny and Elisabeth is climbing a mountain. Can we infer the following from them? Answer yes or no: Richard is not running.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Susan is a carpenter, or it is snowing and Charles is bored. Can we infer the following from them? Answer yes or no: John is reading a book.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: James is a poet, and either it is sunny or Mary is cooking. Can we infer the following from them? Answer yes or no: Richard is reading a book.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Karen is happy, or Robert is a janitor and Joseph is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is a taxi driver.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Richard is happy, and either Patricia is cooking or it is sunny. Can we infer the following from them? Answer yes or no: Joseph is an artist.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cold, or James is a cashier and it is overcast. Can we infer the following from them? Answer yes or no: David is not an electrician.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Jessica is a writer, or Richard is climbing a mountain and Jessica is an office clerk. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is snowing, and either William is a bartender or Karen is writing a letter. Can we infer the following from them? Answer yes or no: Elisabeth is not a nurse.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Charles is a nurse, and either it is cloudy or it is cold. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, or Sarah is working and James is running. Can we infer the following from them? Answer yes or no: Mary is a politician.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Jennifer is an office clerk, and either Robert is a musician or William is a carpenter. Can we infer the following from them? Answer yes or no: Jessica is poor.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cold, and either it is raining or Jessica is playing tennis. Can we infer the following from them? Answer yes or no: William is not taking a plane.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Mary is an office clerk, or it is sunny and it is windy. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, or it is raining and it is overcast. Can we infer the following from them? Answer yes or no: Susan is a politician.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is a bartender, or it is sunny and Sarah is sleeping. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: John is writing a letter, or it is late and Joseph is drinking water. Can we infer the following from them? Answer yes or no: Patricia is not curious.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Richard is a police officer, and either Barbara is a sailor or Jessica is playing tennis. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is a janitor, and either it is raining or Susan is sleeping. Can we infer the following from them? Answer yes or no: David is not climbing a mountain.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Linda is reading a book, or Susan is poor and William is sad. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Karen is a server, and either Barbara is fast or Joseph is drinking water. Can we infer the following from them? Answer yes or no: David is not curious.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Charles is driving a car, and either Sarah is sleeping or Michael is playing a game. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Susan is drinking water, or Susan is a janitor and Barbara is a doctor. Can we infer the following from them? Answer yes or no: Thomas is bored.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cold, and either it is snowing or it is sunny. Can we infer the following from them? Answer yes or no: Mary is sleeping.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cloudy, or it is overcast and it is late. Can we infer the following from them? Answer yes or no: Karen is sad.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, or Jennifer is cooking and Jessica is happy. Can we infer the following from them? Answer yes or no: Jessica is an office clerk.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is a mechanic, or William is a doctor and Joseph is working. Can we infer the following from them? Answer yes or no: Mary is playing a game.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is cooking, and either it is sunny or James is a mechanic. Can we infer the following from them? Answer yes or no: Elisabeth is not a sailor.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is raining, or Robert is a taxi driver and it is sunny. Can we infer the following from them? Answer yes or no: David is playing tennis.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is an electrician, or Michael is writing a letter and it is overcast. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Mary is reading a book, or it is cloudy and it is sunny. Can we infer the following from them? Answer yes or no: Robert is working.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Susan is curious, and either Sarah is playing tennis or Susan is sleeping. Can we infer the following from them? Answer yes or no: Elisabeth is not an artist.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is late, or Charles is sleeping and Barbara is a doctor. Can we infer the following from them? Answer yes or no: Barbara is not writing a letter.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Sarah is climbing a mountain, or Barbara is a carpenter and Charles is an electrician. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, and either Jessica is making tea or it is overcast. Can we infer the following from them? Answer yes or no: Jessica is not playing a game.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Jennifer is curious, and either Barbara is a scientist or Jessica is bored. Can we infer the following from them? Answer yes or no: Elisabeth is driving a car.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is overcast, or Jennifer is sleeping and it is late. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is climbing a mountain, or Sarah is a scientist and David is excited. Can we infer the following from them? Answer yes or no: James is not sleeping.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Karen is writing a letter, or Barbara is making tea and Sarah is a soldier. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Patricia is playing tennis, or Jennifer is reading a book and it is cold. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cloudy, or it is sunny and it is raining. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is climbing a mountain, or Patricia is making tea and Karen is a server. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Linda is an astronaut, or Thomas is playing a game and James is driving a car. Can we infer the following from them? Answer yes or no: Mary is not working.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is an astronaut, or Richard is fast and Charles is a bartender. Can we infer the following from them? Answer yes or no: Michael is not a lawyer.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, and either Mary is playing a game or it is sunny. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cloudy, and either Patricia is a scientist or it is windy. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Robert is a scientist, and either Joseph is a server or Joseph is an electrician. Can we infer the following from them? Answer yes or no: Susan is not playing squash.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not late or it is windy. Can we infer the following from them? Answer yes or no: William is driving a car.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Robert were bored, then it is late. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Jennifer writes a letter, then it is snowing. Can we infer the following from them? Answer yes or no: Susan is a nurse.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: James is not playing a game or Karen is rich. Can we infer the following from them? Answer yes or no: Robert is not a nurse.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Susan is not playing a game or Jessica is an office clerk. Can we infer the following from them? Answer yes or no: Barbara is a carpenter.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Patricia were a nurse, then it is raining. Can we infer the following from them? Answer yes or no: Joseph is not bored.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Elisabeth plays tennis, then Richard is an electrician. Can we infer the following from them? Answer yes or no: Mary is not driving a car.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not snowing or James is taking a plane. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not sunny or it is overcast. Can we infer the following from them? Answer yes or no: William is writing a letter.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Charles is not poor or Thomas is writing a letter. Can we infer the following from them? Answer yes or no: David is playing squash.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Richard is not sleeping or it is sunny. Can we infer the following from them? Answer yes or no: Susan is not playing tennis.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not late or Jennifer is playing a game. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Elisabeth is not drinking water or Patricia is reading a book. Can we infer the following from them? Answer yes or no: Thomas is not driving a car.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Elisabeth is not listening to a song or it is cold. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: John is not working or John is a taxi driver. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Thomas is not a mechanic or Charles is a cashier. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If John plays squash, then Barbara is drinking water. Can we infer the following from them? Answer yes or no: Karen is not reading a book.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Barbara were a mechanic, then it is snowing. Can we infer the following from them? Answer yes or no: Linda is a server.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Michael is not happy or John is driving a car. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not sunny or it is raining. Can we infer the following from them? Answer yes or no: Karen is drinking water.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Michael is not writing a letter or Michael is taking a plane. Can we infer the following from them? Answer yes or no: Karen is a taxi driver.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If John were a mechanic, then Patricia is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is cloudy, then Karen is running. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is cloudy, then Mary is a politician. Can we infer the following from them? Answer yes or no: Sarah is a doctor.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Thomas is not a cashier or Patricia is running. Can we infer the following from them? Answer yes or no: Barbara is not drinking water.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Susan is not poor or Karen is sleeping. Can we infer the following from them? Answer yes or no: Jessica is working.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not cloudy or it is windy. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is sunny, then it is cold. Can we infer the following from them? Answer yes or no: Linda is listening to a song.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Jennifer is not listening to a song or William is reading a book. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Elisabeth were a sailor, then Jessica is a carpenter. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not snowing or Robert is making tea. Can we infer the following from them? Answer yes or no: Jennifer is an astronaut.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Jennifer were sad, then David is a carpenter. Can we infer the following from them? Answer yes or no: Jessica is not rich.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is windy, then it is late. Can we infer the following from them? Answer yes or no: Charles is not a doctor.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Robert cooks, then Richard is playing a game. Can we infer the following from them? Answer yes or no: James is sleeping.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not windy or Thomas is a mechanic. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Richard is not making tea or it is raining. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Karen makes tea, then Barbara is a bartender. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is cold, then Sarah is excited. Can we infer the following from them? Answer yes or no: It is not raining.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Patricia were a sailor, then David is a writer. Can we infer the following from them? Answer yes or no: Michael is a poet.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Elisabeth is not writing a letter or Sarah is sleeping. Can we infer the following from them? Answer yes or no: Jessica is working.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is late, then Sarah is a janitor. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not snowing or Susan is playing a game. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is sunny, then it is late. Can we infer the following from them? Answer yes or no: Robert is not playing tennis.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is cold, then it is cloudy. Can we infer the following from them? Answer yes or no: Karen is not running.",no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If James reads a book, then it is raining. Can we infer the following from them? Answer yes or no: Sarah is a mechanic.",no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: John is not making tea or it is cloudy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Elisabeth is not writing a letter or Thomas is curious. Can we infer the following from them? Answer yes or no: Mary is taking a plane.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: Barbara is not bored or Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,conditional laws,unrelated,Consider the following premises: William is not taking a plane or it is raining. Can we infer the following from them? Answer yes or no: Mary is not listening to a song.,no
propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Mary were a nurse, then John is climbing a mountain. Can we infer the following from them? Answer yes or no: David is not an electrician.",no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast or Jennifer is bored. Can we infer the following from them? Answer yes or no: Robert is not playing squash.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Elisabeth is climbing a mountain and Richard is drinking water. Can we infer the following from them? Answer yes or no: William is a nurse.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cold or it is overcast. Can we infer the following from them? Answer yes or no: Patricia is playing squash.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cold or James is a soldier. Can we infer the following from them? Answer yes or no: Thomas is driving a car.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast or it is cold. Can we infer the following from them? Answer yes or no: Sarah is not climbing a mountain.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is late and Mary is listening to a song. Can we infer the following from them? Answer yes or no: John is not a scientist.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Patricia is playing a game and it is late. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast and it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is happy.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Susan is a carpenter and it is late. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is late and Jessica is a cashier. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast or Susan is a cashier. Can we infer the following from them? Answer yes or no: Charles is curious.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Patricia is making tea or Sarah is a nurse. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cloudy or Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Thomas is not working.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Richard is a poet or Patricia is a police officer. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cloudy and Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Mary is a scientist and it is overcast. Can we infer the following from them? Answer yes or no: Linda is playing a game.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is snowing or Michael is driving a car. Can we infer the following from them? Answer yes or no: Michael is bored.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is raining or Barbara is writing a letter. Can we infer the following from them? Answer yes or no: Richard is an electrician.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy and it is sunny. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Charles is driving a car or William is a police officer. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast and it is cloudy. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy or Charles is sleeping. Can we infer the following from them? Answer yes or no: Thomas is not curious.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: David is sleeping or James is a cashier. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is overcast or Karen is taking a plane. Can we infer the following from them? Answer yes or no: Jennifer is an artist.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is raining and Robert is driving a car. Can we infer the following from them? Answer yes or no: Linda is poor.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Robert is happy or it is snowing. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Mary is making tea and it is raining. Can we infer the following from them? Answer yes or no: Joseph is an artist.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jennifer is playing tennis or Jennifer is running. Can we infer the following from them? Answer yes or no: Patricia is not a carpenter.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Robert is a lawyer or Robert is making tea. Can we infer the following from them? Answer yes or no: William is drinking water.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Michael is an artist or Richard is a bartender. Can we infer the following from them? Answer yes or no: Karen is playing tennis.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: William is making tea or it is raining. Can we infer the following from them? Answer yes or no: Susan is not a writer.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: William is sleeping or Linda is an electrician. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy or Barbara is working. Can we infer the following from them? Answer yes or no: Jessica is not a taxi driver.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Charles is working and Thomas is a lawyer. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is late or Linda is reading a book. Can we infer the following from them? Answer yes or no: Sarah is not a nurse.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Susan is a carpenter and Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Patricia is a writer and it is windy. Can we infer the following from them? Answer yes or no: Sarah is driving a car.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Michael is a mechanic and it is late. Can we infer the following from them? Answer yes or no: Richard is not reading a book.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Elisabeth is playing tennis and Robert is playing a game. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Michael is playing a game and Elisabeth is an electrician. Can we infer the following from them? Answer yes or no: Thomas is playing tennis.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jennifer is a scientist and David is reading a book. Can we infer the following from them? Answer yes or no: Linda is not a doctor.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Charles is cooking and Jessica is taking a plane. Can we infer the following from them? Answer yes or no: James is not a bartender.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Elisabeth is a cashier or Jessica is a lawyer. Can we infer the following from them? Answer yes or no: Mary is making tea.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Barbara is a bartender and it is late. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: James is an astronaut or James is an artist. Can we infer the following from them? Answer yes or no: Jennifer is not a server.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Robert is a bartender and Sarah is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is cooking.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Thomas is happy and it is snowing. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy or it is overcast. Can we infer the following from them? Answer yes or no: James is climbing a mountain.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Robert is writing a letter or David is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is not playing squash.,no
propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jessica is writing a letter and Robert is a scientist. Can we infer the following from them? Answer yes or no: Linda is not drinking water.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Richard is playing a game and Richard is playing a game. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: James is cooking and James is cooking. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: Richard is not driving a car.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is sunny and it is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is not fast.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: David is working.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jennifer is climbing a mountain or Jennifer is climbing a mountain. Can we infer the following from them? Answer yes or no: Jennifer is not cooking.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is late or it is late. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Thomas is driving a car or Thomas is driving a car. Can we infer the following from them? Answer yes or no: Robert is working.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is raining or it is raining. Can we infer the following from them? Answer yes or no: David is not an office clerk.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: David is a politician and David is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not running.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Susan is drinking water or Susan is drinking water. Can we infer the following from them? Answer yes or no: John is a cashier.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jessica is a carpenter and Jessica is a carpenter. Can we infer the following from them? Answer yes or no: William is working.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Joseph is working or Joseph is working. Can we infer the following from them? Answer yes or no: Elisabeth is a lawyer.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: James is sad and James is sad. Can we infer the following from them? Answer yes or no: Jennifer is not taking a plane.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Sarah is poor and Sarah is poor. Can we infer the following from them? Answer yes or no: Charles is not an office clerk.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Elisabeth is reading a book and Elisabeth is reading a book. Can we infer the following from them? Answer yes or no: David is not playing a game.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Mary is running or Mary is running. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jessica is a mechanic and Jessica is a mechanic. Can we infer the following from them? Answer yes or no: Richard is a writer.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jessica is an office clerk and Jessica is an office clerk. Can we infer the following from them? Answer yes or no: Barbara is not a server.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Mary is poor or Mary is poor. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Karen is a police officer and Karen is a police officer. Can we infer the following from them? Answer yes or no: Sarah is not cooking.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Joseph is running or Joseph is running. Can we infer the following from them? Answer yes or no: Barbara is a taxi driver.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Michael is drinking water or Michael is drinking water. Can we infer the following from them? Answer yes or no: Linda is not fast.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Karen is climbing a mountain or Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: Richard is bored.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: Patricia is a lawyer.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jennifer is a janitor and Jennifer is a janitor. Can we infer the following from them? Answer yes or no: Sarah is playing squash.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Patricia is climbing a mountain and Patricia is climbing a mountain. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Thomas is making tea and Thomas is making tea. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Susan is a taxi driver and Susan is a taxi driver. Can we infer the following from them? Answer yes or no: Mary is not curious.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: David is drinking water or David is drinking water. Can we infer the following from them? Answer yes or no: Mary is playing tennis.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is sunny and it is sunny. Can we infer the following from them? Answer yes or no: Robert is a politician.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is windy and it is windy. Can we infer the following from them? Answer yes or no: Michael is not an artist.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is windy and it is windy. Can we infer the following from them? Answer yes or no: Jennifer is a server.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Joseph is sad and Joseph is sad. Can we infer the following from them? Answer yes or no: Robert is writing a letter.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is late and it is late. Can we infer the following from them? Answer yes or no: Patricia is not sleeping.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy or it is cloudy. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is snowing or it is snowing. Can we infer the following from them? Answer yes or no: James is not a politician.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: John is listening to a song.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cloudy and it is cloudy. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is late and it is late. Can we infer the following from them? Answer yes or no: Patricia is not writing a letter.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: John is playing a game and John is playing a game. Can we infer the following from them? Answer yes or no: Sarah is not a server.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cold and it is cold. Can we infer the following from them? Answer yes or no: Thomas is working.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is snowing or it is snowing. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Elisabeth is a soldier and Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: William is playing tennis.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: Susan is not reading a book.,no
propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Mary is making tea and Mary is making tea. Can we infer the following from them? Answer yes or no: Charles is listening to a song.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Karen were a cashier, then John is fast and if John were fast, then Karen is a cashier. Can we infer the following from them? Answer yes or no: Sarah is not cooking.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is overcast, then Linda is a doctor and if Linda were a doctor, then it is overcast. Can we infer the following from them? Answer yes or no: Sarah is not poor.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If James were a mechanic, then Linda is a bartender and if Linda were a bartender, then James is a mechanic. Can we infer the following from them? Answer yes or no: Linda is a nurse.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Jessica is a sailor if and only if it is windy. Can we infer the following from them? Answer yes or no: Mary is playing tennis.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: John is rich if and only if Linda is taking a plane. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Elisabeth is playing a game if and only if Thomas is driving a car. Can we infer the following from them? Answer yes or no: Mary is a doctor.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Mary is a nurse if and only if Barbara is making tea. Can we infer the following from them? Answer yes or no: James is a sailor.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is snowing if and only if it is cloudy. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is windy, then Jennifer is bored and if Jennifer were bored, then it is windy. Can we infer the following from them? Answer yes or no: Thomas is not a doctor.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Patricia is playing squash if and only if Susan is sad. Can we infer the following from them? Answer yes or no: James is poor.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it snows, then it is windy and if it is windy, then it is snowing. Can we infer the following from them? Answer yes or no: Mary is writing a letter.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Michael is driving a car if and only if Susan is drinking water. Can we infer the following from them? Answer yes or no: Thomas is a politician.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Patricia were poor, then Michael is sleeping and if Michael sleeps, then Patricia is poor. Can we infer the following from them? Answer yes or no: Patricia is writing a letter.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Mary is cooking if and only if William is an artist. Can we infer the following from them? Answer yes or no: Michael is not running.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: James is playing squash if and only if Barbara is a scientist. Can we infer the following from them? Answer yes or no: Mary is a writer.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it rains, then Mary is fast and if Mary were fast, then it is raining. Can we infer the following from them? Answer yes or no: Charles is curious.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Mary is climbing a mountain if and only if it is raining. Can we infer the following from them? Answer yes or no: Joseph is a taxi driver.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cold, then Sarah is curious and if Sarah were curious, then it is cold. Can we infer the following from them? Answer yes or no: James is not sad.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: John is playing tennis if and only if it is late. Can we infer the following from them? Answer yes or no: Joseph is climbing a mountain.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Robert were an electrician, then Mary is running and if Mary goes running, then Robert is an electrician. Can we infer the following from them? Answer yes or no: Susan is taking a plane.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is snowing if and only if it is late. Can we infer the following from them? Answer yes or no: James is climbing a mountain.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Jennifer is reading a book if and only if it is windy. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is overcast if and only if it is windy. Can we infer the following from them? Answer yes or no: James is poor.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is overcast, then Barbara is an office clerk and if Barbara were an office clerk, then it is overcast. Can we infer the following from them? Answer yes or no: Richard is not a janitor.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: William is a lawyer if and only if David is an artist. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is cold if and only if Richard is an artist. Can we infer the following from them? Answer yes or no: Michael is not a taxi driver.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Susan is working if and only if Joseph is running. Can we infer the following from them? Answer yes or no: Michael is not cooking.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Joseph were a lawyer, then Sarah is playing tennis and if Sarah plays tennis, then Joseph is a lawyer. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Susan were a sailor, then Joseph is taking a plane and if Joseph takes a plane, then Susan is a sailor. Can we infer the following from them? Answer yes or no: Susan is climbing a mountain.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Jessica drives a car, then Joseph is an office clerk and if Joseph were an office clerk, then Jessica is driving a car. Can we infer the following from them? Answer yes or no: Richard is not a janitor.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: William is driving a car if and only if Sarah is a musician. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Susan plays tennis, then Thomas is a janitor and if Thomas were a janitor, then Susan is playing tennis. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Thomas is a sailor if and only if David is a police officer. Can we infer the following from them? Answer yes or no: Linda is a janitor.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cold, then Jessica is a nurse and if Jessica were a nurse, then it is cold. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cold, then it is late and if it is late, then it is cold. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Michael is playing a game if and only if Thomas is an electrician. Can we infer the following from them? Answer yes or no: Thomas is cooking.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Susan sleeps, then Sarah is a soldier and if Sarah were a soldier, then Susan is sleeping. Can we infer the following from them? Answer yes or no: Linda is a mechanic.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is late, then it is cloudy and if it is cloudy, then it is late. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Jessica plays tennis, then Elisabeth is making tea and if Elisabeth makes tea, then Jessica is playing tennis. Can we infer the following from them? Answer yes or no: John is not playing squash.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Elisabeth were a carpenter, then it is snowing and if it snows, then Elisabeth is a carpenter. Can we infer the following from them? Answer yes or no: Karen is not climbing a mountain.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Charles is a poet if and only if it is raining. Can we infer the following from them? Answer yes or no: James is not listening to a song.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cold, then it is overcast and if it is overcast, then it is cold. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it rains, then Michael is making tea and if Michael makes tea, then it is raining. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If William works, then Mary is reading a book and if Mary reads a book, then William is working. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Jennifer is a doctor if and only if it is windy. Can we infer the following from them? Answer yes or no: Susan is not playing tennis.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Jessica is bored if and only if James is sleeping. Can we infer the following from them? Answer yes or no: Mary is playing squash.,no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If David writes a letter, then William is a mechanic and if William were a mechanic, then David is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is not a poet.",no
propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Jessica were fast, then Elisabeth is reading a book and if Elisabeth reads a book, then Jessica is fast. Can we infer the following from them? Answer yes or no: Charles is an electrician.",no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is late if and only if Linda is writing a letter. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,equivalent,biconditional laws,unrelated,Consider the following premises: James is cooking if and only if Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: Sarah is not rich.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Karen is making tea nor Robert is an astronaut. Can we infer the following from them? Answer yes or no: Sarah is not drinking water.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is raining nor Elisabeth is fast. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is snowing and the claim that Michael is drinking water cannot both be true. Can we infer the following from them? Answer yes or no: Sarah is making tea.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is cold and the claim that Mary is writing a letter cannot both be true. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is sunny nor Jessica is working. Can we infer the following from them? Answer yes or no: Sarah is a police officer.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Charles is making tea nor it is overcast. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Mary is a server nor it is snowing. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Sarah is a server and the claim that Charles is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: Richard is fast.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Jennifer is playing tennis and the claim that Thomas is an artist cannot both be true. Can we infer the following from them? Answer yes or no: Sarah is playing a game.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is late nor Susan is a janitor. Can we infer the following from them? Answer yes or no: Mary is not a doctor.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Elisabeth is excited nor it is cloudy. Can we infer the following from them? Answer yes or no: Thomas is not making tea.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Elisabeth is reading a book nor Thomas is writing a letter. Can we infer the following from them? Answer yes or no: David is a carpenter.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is late and the claim that Barbara is playing a game cannot both be true. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Robert is sad nor Mary is writing a letter. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is cold nor Elisabeth is happy. Can we infer the following from them? Answer yes or no: Joseph is climbing a mountain.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that William is an astronaut and the claim that it is snowing cannot both be true. Can we infer the following from them? Answer yes or no: David is not playing a game.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is snowing and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Robert is a carpenter nor it is raining. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is cloudy nor it is raining. Can we infer the following from them? Answer yes or no: David is an electrician.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither William is reading a book nor Patricia is sleeping. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is raining nor Thomas is taking a plane. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is sunny nor it is snowing. Can we infer the following from them? Answer yes or no: John is writing a letter.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither William is cooking nor James is an electrician. Can we infer the following from them? Answer yes or no: John is not reading a book.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Sarah is a bartender nor Jennifer is a nurse. Can we infer the following from them? Answer yes or no: Mary is driving a car.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is overcast nor it is raining. Can we infer the following from them? Answer yes or no: Michael is a janitor.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Mary is playing squash nor it is raining. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither John is happy nor it is windy. Can we infer the following from them? Answer yes or no: David is not running.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is raining nor Richard is a doctor. Can we infer the following from them? Answer yes or no: James is not bored.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is overcast and the claim that Robert is a server cannot both be true. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Barbara is driving a car nor Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Jennifer is not a bartender.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Mary is happy nor it is cold. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that James is drinking water and the claim that Elisabeth is cooking cannot both be true. Can we infer the following from them? Answer yes or no: Mary is sleeping.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Karen is making tea and the claim that Thomas is curious cannot both be true. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Robert is excited nor Charles is a nurse. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Sarah is a cashier nor Mary is taking a plane. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is raining nor Richard is listening to a song. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Mary is taking a plane and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: Barbara is running.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is snowing and the claim that Jessica is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: Karen is fast.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is cold and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: Barbara is not making tea.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Charles is a carpenter and the claim that Mary is sad cannot both be true. Can we infer the following from them? Answer yes or no: Karen is not bored.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is late nor Patricia is excited. Can we infer the following from them? Answer yes or no: Joseph is not a poet.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither James is a cashier nor Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Jennifer is playing squash and the claim that Linda is drinking water cannot both be true. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither John is a server nor Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Charles is a janitor nor it is sunny. Can we infer the following from them? Answer yes or no: Linda is working.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that John is running and the claim that it is snowing cannot both be true. Can we infer the following from them? Answer yes or no: Jennifer is not a scientist.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Richard is cooking and the claim that John is a server cannot both be true. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Joseph is listening to a song and the claim that Charles is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: Elisabeth is not a carpenter.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Linda is driving a car and the claim that Charles is playing squash cannot both be true. Can we infer the following from them? Answer yes or no: Karen is not curious.,no
propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Barbara is a server and the claim that Robert is playing squash cannot both be true. Can we infer the following from them? Answer yes or no: James is climbing a mountain.,no
propositional,inference,modus tollens,inference,"Consider the following premises: Thomas is a taxi driver. If Linda goes running, then Thomas is not a taxi driver. Can we infer the following from them? Answer yes or no: Linda is not running.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If William plays a game, then it is not late. It is late. Can we infer the following from them? Answer yes or no: William is not playing a game.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Linda writes a letter, then Robert is not climbing a mountain. Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: Linda is not writing a letter.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Elisabeth is not taking a plane. If Richard cooks, then Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: Richard is not cooking.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Linda is writing a letter. If it is late, then Linda is not writing a letter. Can we infer the following from them? Answer yes or no: It is not late.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is cold. If Patricia were a police officer, then it is not cold. Can we infer the following from them? Answer yes or no: Patricia is not a police officer.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Susan plays a game, then Thomas is not driving a car. Thomas is driving a car. Can we infer the following from them? Answer yes or no: Susan is not playing a game.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is not cold. If Thomas drinks water, then it is cold. Can we infer the following from them? Answer yes or no: Thomas is not drinking water.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: William is making tea. If Michael were a sailor, then William is not making tea. Can we infer the following from them? Answer yes or no: Michael is not a sailor.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If John were a cashier, then Susan is a police officer. Susan is not a police officer. Can we infer the following from them? Answer yes or no: John is not a cashier.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: James is an office clerk. If Robert were a writer, then James is not an office clerk. Can we infer the following from them? Answer yes or no: Robert is not a writer.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it snows, then Joseph is not a bartender. Joseph is a bartender. Can we infer the following from them? Answer yes or no: It is not snowing.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Jennifer is not cooking. If it snows, then Jennifer is cooking. Can we infer the following from them? Answer yes or no: It is not snowing.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Richard is not a cashier. If it is overcast, then Richard is a cashier. Can we infer the following from them? Answer yes or no: It is not overcast.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it is sunny, then Linda is not sleeping. Linda is sleeping. Can we infer the following from them? Answer yes or no: It is not sunny.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Sarah goes running, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Sarah is not running.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Sarah is taking a plane. If Charles were a cashier, then Sarah is not taking a plane. Can we infer the following from them? Answer yes or no: Charles is not a cashier.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is late. If John plays squash, then it is not late. Can we infer the following from them? Answer yes or no: John is not playing squash.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Susan plays a game, then Michael is a server. Michael is not a server. Can we infer the following from them? Answer yes or no: Susan is not playing a game.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Jennifer drinks water, then Thomas is not working. Thomas is working. Can we infer the following from them? Answer yes or no: Jennifer is not drinking water.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Jessica were an artist, then Mary is not driving a car. Mary is driving a car. Can we infer the following from them? Answer yes or no: Jessica is not an artist.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it is cloudy, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: It is not cloudy.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: David is a doctor. If Susan writes a letter, then David is not a doctor. Can we infer the following from them? Answer yes or no: Susan is not writing a letter.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Charles plays squash, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Charles is not playing squash.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it is cold, then Barbara is rich. Barbara is not rich. Can we infer the following from them? Answer yes or no: It is not cold.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is not overcast. If Patricia writes a letter, then it is overcast. Can we infer the following from them? Answer yes or no: Patricia is not writing a letter.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is late. If Jessica listens to a song, then it is not late. Can we infer the following from them? Answer yes or no: Jessica is not listening to a song.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Susan makes tea, then David is not climbing a mountain. David is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is not making tea.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Sarah reads a book, then it is late. It is not late. Can we infer the following from them? Answer yes or no: Sarah is not reading a book.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Jessica is not a scientist. If Linda were sad, then Jessica is a scientist. Can we infer the following from them? Answer yes or no: Linda is not sad.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Jessica is not running. If John climbs a mountain, then Jessica is running. Can we infer the following from them? Answer yes or no: John is not climbing a mountain.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it is cold, then Robert is not playing squash. Robert is playing squash. Can we infer the following from them? Answer yes or no: It is not cold.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If it is overcast, then Elisabeth is not a lawyer. Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: It is not overcast.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is snowing. If Mary makes tea, then it is not snowing. Can we infer the following from them? Answer yes or no: Mary is not making tea.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Patricia is a writer. If Joseph plays squash, then Patricia is not a writer. Can we infer the following from them? Answer yes or no: Joseph is not playing squash.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Charles is not bored. If Charles plays squash, then Charles is bored. Can we infer the following from them? Answer yes or no: Charles is not playing squash.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Jessica is writing a letter. If Linda were a mechanic, then Jessica is not writing a letter. Can we infer the following from them? Answer yes or no: Linda is not a mechanic.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is cloudy. If Charles were a janitor, then it is not cloudy. Can we infer the following from them? Answer yes or no: Charles is not a janitor.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Elisabeth drives a car, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Elisabeth is not driving a car.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is snowing. If it is late, then it is not snowing. Can we infer the following from them? Answer yes or no: It is not late.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Mary is working. If David were a lawyer, then Mary is not working. Can we infer the following from them? Answer yes or no: David is not a lawyer.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: It is sunny. If Robert were a scientist, then it is not sunny. Can we infer the following from them? Answer yes or no: Robert is not a scientist.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Michael is not listening to a song. If Jennifer were a writer, then Michael is listening to a song. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Susan works, then Mary is not sleeping. Mary is sleeping. Can we infer the following from them? Answer yes or no: Susan is not working.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Robert is not a taxi driver. If it is cold, then Robert is a taxi driver. Can we infer the following from them? Answer yes or no: It is not cold.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Barbara is an office clerk. If Susan were a soldier, then Barbara is not an office clerk. Can we infer the following from them? Answer yes or no: Susan is not a soldier.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: If Patricia were a carpenter, then Susan is not a scientist. Susan is a scientist. Can we infer the following from them? Answer yes or no: Patricia is not a carpenter.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: William is playing tennis. If Joseph listens to a song, then William is not playing tennis. Can we infer the following from them? Answer yes or no: Joseph is not listening to a song.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: Charles is a sailor. If Linda writes a letter, then Charles is not a sailor. Can we infer the following from them? Answer yes or no: Linda is not writing a letter.",yes
propositional,inference,modus tollens,inference,"Consider the following premises: James is not fast. If Sarah were bored, then James is fast. Can we infer the following from them? Answer yes or no: Sarah is not bored.",yes
propositional,inference,conjunction,inference,Consider the following premises: Linda is excited. It is cloudy. Can we infer the following from them? Answer yes or no: Linda is excited and it is cloudy.,yes
propositional,inference,conjunction,inference,Consider the following premises: Susan is a janitor. Patricia is a sailor. Can we infer the following from them? Answer yes or no: Susan is a janitor and Patricia is a sailor.,yes
propositional,inference,conjunction,inference,Consider the following premises: William is listening to a song. Thomas is running. Can we infer the following from them? Answer yes or no: Thomas is running and William is listening to a song.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is cold. David is working. Can we infer the following from them? Answer yes or no: David is working and it is cold.,yes
propositional,inference,conjunction,inference,Consider the following premises: Barbara is a janitor. It is snowing. Can we infer the following from them? Answer yes or no: It is snowing and Barbara is a janitor.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is raining. It is overcast. Can we infer the following from them? Answer yes or no: It is overcast and it is raining.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is late. William is making tea. Can we infer the following from them? Answer yes or no: It is late and William is making tea.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is raining. It is late. Can we infer the following from them? Answer yes or no: It is raining and it is late.,yes
propositional,inference,conjunction,inference,Consider the following premises: Patricia is sleeping. Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Joseph is taking a plane and Patricia is sleeping.,yes
propositional,inference,conjunction,inference,Consider the following premises: David is a taxi driver. Richard is a nurse. Can we infer the following from them? Answer yes or no: Richard is a nurse and David is a taxi driver.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is overcast. Joseph is a cashier. Can we infer the following from them? Answer yes or no: It is overcast and Joseph is a cashier.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is cloudy. Patricia is sad. Can we infer the following from them? Answer yes or no: Patricia is sad and it is cloudy.,yes
propositional,inference,conjunction,inference,Consider the following premises: Charles is a doctor. James is a soldier. Can we infer the following from them? Answer yes or no: James is a soldier and Charles is a doctor.,yes
propositional,inference,conjunction,inference,Consider the following premises: Jennifer is excited. Thomas is playing a game. Can we infer the following from them? Answer yes or no: Thomas is playing a game and Jennifer is excited.,yes
propositional,inference,conjunction,inference,Consider the following premises: David is a mechanic. William is a musician. Can we infer the following from them? Answer yes or no: David is a mechanic and William is a musician.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is sunny. Richard is an artist. Can we infer the following from them? Answer yes or no: Richard is an artist and it is sunny.,yes
propositional,inference,conjunction,inference,Consider the following premises: Linda is a politician. Charles is a scientist. Can we infer the following from them? Answer yes or no: Linda is a politician and Charles is a scientist.,yes
propositional,inference,conjunction,inference,Consider the following premises: Patricia is reading a book. Patricia is excited. Can we infer the following from them? Answer yes or no: Patricia is excited and Patricia is reading a book.,yes
propositional,inference,conjunction,inference,Consider the following premises: Jennifer is playing tennis. Sarah is a carpenter. Can we infer the following from them? Answer yes or no: Jennifer is playing tennis and Sarah is a carpenter.,yes
propositional,inference,conjunction,inference,Consider the following premises: James is climbing a mountain. Elisabeth is a writer. Can we infer the following from them? Answer yes or no: James is climbing a mountain and Elisabeth is a writer.,yes
propositional,inference,conjunction,inference,Consider the following premises: Linda is drinking water. Jessica is running. Can we infer the following from them? Answer yes or no: Linda is drinking water and Jessica is running.,yes
propositional,inference,conjunction,inference,Consider the following premises: Patricia is a janitor. Jennifer is bored. Can we infer the following from them? Answer yes or no: Patricia is a janitor and Jennifer is bored.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is cold. Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: It is cold and Robert is climbing a mountain.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is raining. Sarah is sad. Can we infer the following from them? Answer yes or no: Sarah is sad and it is raining.,yes
propositional,inference,conjunction,inference,Consider the following premises: Susan is a cashier. Charles is writing a letter. Can we infer the following from them? Answer yes or no: Charles is writing a letter and Susan is a cashier.,yes
propositional,inference,conjunction,inference,Consider the following premises: Richard is listening to a song. Thomas is cooking. Can we infer the following from them? Answer yes or no: Thomas is cooking and Richard is listening to a song.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is raining. Michael is playing tennis. Can we infer the following from them? Answer yes or no: Michael is playing tennis and it is raining.,yes
propositional,inference,conjunction,inference,Consider the following premises: William is sad. Robert is an artist. Can we infer the following from them? Answer yes or no: William is sad and Robert is an artist.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is raining. It is cold. Can we infer the following from them? Answer yes or no: It is cold and it is raining.,yes
propositional,inference,conjunction,inference,Consider the following premises: Sarah is playing a game. William is a taxi driver. Can we infer the following from them? Answer yes or no: William is a taxi driver and Sarah is playing a game.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is cloudy. Jennifer is fast. Can we infer the following from them? Answer yes or no: It is cloudy and Jennifer is fast.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is windy. It is cold. Can we infer the following from them? Answer yes or no: It is windy and it is cold.,yes
propositional,inference,conjunction,inference,Consider the following premises: Sarah is a writer. Susan is a lawyer. Can we infer the following from them? Answer yes or no: Sarah is a writer and Susan is a lawyer.,yes
propositional,inference,conjunction,inference,Consider the following premises: Sarah is a police officer. It is snowing. Can we infer the following from them? Answer yes or no: Sarah is a police officer and it is snowing.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is cold. Jennifer is playing tennis. Can we infer the following from them? Answer yes or no: Jennifer is playing tennis and it is cold.,yes
propositional,inference,conjunction,inference,Consider the following premises: Barbara is taking a plane. It is cloudy. Can we infer the following from them? Answer yes or no: Barbara is taking a plane and it is cloudy.,yes
propositional,inference,conjunction,inference,Consider the following premises: Susan is fast. It is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy and Susan is fast.,yes
propositional,inference,conjunction,inference,Consider the following premises: William is happy. Jessica is climbing a mountain. Can we infer the following from them? Answer yes or no: William is happy and Jessica is climbing a mountain.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is windy. It is late. Can we infer the following from them? Answer yes or no: It is windy and it is late.,yes
propositional,inference,conjunction,inference,Consider the following premises: Mary is a server. Sarah is an artist. Can we infer the following from them? Answer yes or no: Sarah is an artist and Mary is a server.,yes
propositional,inference,conjunction,inference,Consider the following premises: Joseph is drinking water. It is windy. Can we infer the following from them? Answer yes or no: Joseph is drinking water and it is windy.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is overcast. Jennifer is an artist. Can we infer the following from them? Answer yes or no: Jennifer is an artist and it is overcast.,yes
propositional,inference,conjunction,inference,Consider the following premises: William is driving a car. Susan is playing squash. Can we infer the following from them? Answer yes or no: Susan is playing squash and William is driving a car.,yes
propositional,inference,conjunction,inference,Consider the following premises: Sarah is listening to a song. David is running. Can we infer the following from them? Answer yes or no: David is running and Sarah is listening to a song.,yes
propositional,inference,conjunction,inference,Consider the following premises: Susan is cooking. Elisabeth is drinking water. Can we infer the following from them? Answer yes or no: Elisabeth is drinking water and Susan is cooking.,yes
propositional,inference,conjunction,inference,Consider the following premises: It is late. Patricia is poor. Can we infer the following from them? Answer yes or no: Patricia is poor and it is late.,yes
propositional,inference,conjunction,inference,Consider the following premises: William is excited. Barbara is cooking. Can we infer the following from them? Answer yes or no: William is excited and Barbara is cooking.,yes
propositional,inference,conjunction,inference,Consider the following premises: Patricia is a mechanic. Jessica is reading a book. Can we infer the following from them? Answer yes or no: Patricia is a mechanic and Jessica is reading a book.,yes
propositional,inference,conjunction,inference,Consider the following premises: Richard is a carpenter. Michael is an electrician. Can we infer the following from them? Answer yes or no: Richard is a carpenter and Michael is an electrician.,yes
propositional,inference,conjunction,inference,Consider the following premises: John is playing tennis. It is snowing. Can we infer the following from them? Answer yes or no: It is snowing and John is playing tennis.,yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is overcast or Joseph is bored. If Joseph were bored, then it is late. If it is overcast, then it is late. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Barbara were a writer, then Barbara is fast. If Joseph were a server, then Barbara is fast. Joseph is a server or Barbara is a writer. Can we infer the following from them? Answer yes or no: Barbara is fast.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Robert is taking a plane or it is late. If Robert takes a plane, then it is cold. If it is late, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Susan were a writer, then Sarah is playing squash. Susan is a writer or William is a doctor. If William were a doctor, then Sarah is playing squash. Can we infer the following from them? Answer yes or no: Sarah is playing squash.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Richard drives a car, then Mary is a soldier. If Mary were an office clerk, then Mary is a soldier. Richard is driving a car or Mary is an office clerk. Can we infer the following from them? Answer yes or no: Mary is a soldier.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Linda cooks, then John is running. Linda is cooking or Mary is drinking water. If Mary drinks water, then John is running. Can we infer the following from them? Answer yes or no: John is running.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Michael is reading a book or Jennifer is making tea. If Jennifer makes tea, then Thomas is rich. If Michael reads a book, then Thomas is rich. Can we infer the following from them? Answer yes or no: Thomas is rich.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is raining or it is windy. If it rains, then Karen is writing a letter. If it is windy, then Karen is writing a letter. Can we infer the following from them? Answer yes or no: Karen is writing a letter.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Patricia were a lawyer, then it is windy. Joseph is rich or Patricia is a lawyer. If Joseph were rich, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is windy or Thomas is a police officer. If Thomas were a police officer, then it is cold. If it is windy, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Michael drives a car, then it is late. If it is cold, then it is late. Michael is driving a car or it is cold. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Barbara drinks water, then it is snowing. Barbara is drinking water or Michael is a carpenter. If Michael were a carpenter, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Michael is excited or it is raining. If Michael were excited, then Sarah is an astronaut. If it rains, then Sarah is an astronaut. Can we infer the following from them? Answer yes or no: Sarah is an astronaut.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Linda plays tennis, then Barbara is a nurse. James is a police officer or Linda is playing tennis. If James were a police officer, then Barbara is a nurse. Can we infer the following from them? Answer yes or no: Barbara is a nurse.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Jessica were a taxi driver, then Susan is running. Thomas is a doctor or Jessica is a taxi driver. If Thomas were a doctor, then Susan is running. Can we infer the following from them? Answer yes or no: Susan is running.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is sunny, then William is drinking water. It is sunny or Jessica is happy. If Jessica were happy, then William is drinking water. Can we infer the following from them? Answer yes or no: William is drinking water.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Mary goes running, then it is cloudy. If Sarah drinks water, then it is cloudy. Mary is running or Sarah is drinking water. Can we infer the following from them? Answer yes or no: It is cloudy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Joseph were a carpenter, then James is making tea. Linda is taking a plane or Joseph is a carpenter. If Linda takes a plane, then James is making tea. Can we infer the following from them? Answer yes or no: James is making tea.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Susan goes running, then Patricia is an electrician. If Patricia were curious, then Patricia is an electrician. Susan is running or Patricia is curious. Can we infer the following from them? Answer yes or no: Patricia is an electrician.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Mary is making tea or Richard is listening to a song. If Richard listens to a song, then it is cold. If Mary makes tea, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is late, then Jessica is a lawyer. If it snows, then Jessica is a lawyer. It is late or it is snowing. Can we infer the following from them? Answer yes or no: Jessica is a lawyer.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is overcast, then Charles is working. If Thomas makes tea, then Charles is working. It is overcast or Thomas is making tea. Can we infer the following from them? Answer yes or no: Charles is working.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Linda is a scientist or Richard is drinking water. If Richard drinks water, then Barbara is a lawyer. If Linda were a scientist, then Barbara is a lawyer. Can we infer the following from them? Answer yes or no: Barbara is a lawyer.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Patricia were a writer, then it is cloudy. If Barbara plays squash, then it is cloudy. Barbara is playing squash or Patricia is a writer. Can we infer the following from them? Answer yes or no: It is cloudy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is windy, then Linda is a musician. If David were a scientist, then Linda is a musician. It is windy or David is a scientist. Can we infer the following from them? Answer yes or no: Linda is a musician.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If David makes tea, then it is sunny. David is a police officer or David is making tea. If David were a police officer, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is windy, then James is driving a car. If William writes a letter, then James is driving a car. It is windy or William is writing a letter. Can we infer the following from them? Answer yes or no: James is driving a car.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If John listens to a song, then David is sleeping. If Susan climbs a mountain, then David is sleeping. John is listening to a song or Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: David is sleeping.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it rains, then it is cold. Charles is an astronaut or it is raining. If Charles were an astronaut, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is sunny, then it is windy. If David writes a letter, then it is windy. It is sunny or David is writing a letter. Can we infer the following from them? Answer yes or no: It is windy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is late, then David is a cashier. It is late or Robert is writing a letter. If Robert writes a letter, then David is a cashier. Can we infer the following from them? Answer yes or no: David is a cashier.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Barbara is a bartender or Karen is sad. If Barbara were a bartender, then Sarah is cooking. If Karen were sad, then Sarah is cooking. Can we infer the following from them? Answer yes or no: Sarah is cooking.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Joseph were an artist, then John is a doctor. Joseph is an artist or Linda is running. If Linda goes running, then John is a doctor. Can we infer the following from them? Answer yes or no: John is a doctor.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Elisabeth is working or Michael is a poet. If Michael were a poet, then it is late. If Elisabeth works, then it is late. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is snowing or Linda is an electrician. If it snows, then Jessica is a carpenter. If Linda were an electrician, then Jessica is a carpenter. Can we infer the following from them? Answer yes or no: Jessica is a carpenter.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Richard goes running, then Barbara is an electrician. If it snows, then Barbara is an electrician. It is snowing or Richard is running. Can we infer the following from them? Answer yes or no: Barbara is an electrician.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Barbara is a carpenter or David is a nurse. If Barbara were a carpenter, then Elisabeth is taking a plane. If David were a nurse, then Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: Elisabeth is taking a plane.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Robert is climbing a mountain or it is cloudy. If Robert climbs a mountain, then it is snowing. If it is cloudy, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Joseph drives a car, then it is overcast. If it rains, then it is overcast. Joseph is driving a car or it is raining. Can we infer the following from them? Answer yes or no: It is overcast.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is cloudy or it is late. If it is late, then Susan is making tea. If it is cloudy, then Susan is making tea. Can we infer the following from them? Answer yes or no: Susan is making tea.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Barbara were an office clerk, then it is cloudy. If it snows, then it is cloudy. Barbara is an office clerk or it is snowing. Can we infer the following from them? Answer yes or no: It is cloudy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: It is overcast or Jennifer is sleeping. If it is overcast, then it is windy. If Jennifer sleeps, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Joseph works, then Mary is a politician. If it is cold, then Mary is a politician. Joseph is working or it is cold. Can we infer the following from them? Answer yes or no: Mary is a politician.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is overcast, then it is windy. If Thomas drinks water, then it is windy. It is overcast or Thomas is drinking water. Can we infer the following from them? Answer yes or no: It is windy.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Susan is a writer or James is playing tennis. If Susan were a writer, then Richard is curious. If James plays tennis, then Richard is curious. Can we infer the following from them? Answer yes or no: Richard is curious.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Linda were a doctor, then Michael is an office clerk. If it rains, then Michael is an office clerk. Linda is a doctor or it is raining. Can we infer the following from them? Answer yes or no: Michael is an office clerk.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Jessica climbs a mountain, then Charles is taking a plane. If Linda goes running, then Charles is taking a plane. Jessica is climbing a mountain or Linda is running. Can we infer the following from them? Answer yes or no: Charles is taking a plane.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: Jessica is playing a game or Elisabeth is sleeping. If Jessica plays a game, then Mary is sad. If Elisabeth sleeps, then Mary is sad. Can we infer the following from them? Answer yes or no: Mary is sad.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is windy, then it is late. If Elisabeth goes running, then it is late. Elisabeth is running or it is windy. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,disjunction elimination,inference,"Consider the following premises: If Michael plays a game, then John is playing squash. If Elisabeth were a nurse, then John is playing squash. Elisabeth is a nurse or Michael is playing a game. Can we infer the following from them? Answer yes or no: John is playing squash.",yes
propositional,inference,simplification,inference,Consider the following premises: William is a soldier and John is a scientist. Can we infer the following from them? Answer yes or no: William is a soldier.,yes
propositional,inference,simplification,inference,Consider the following premises: Sarah is drinking water and Barbara is playing squash. Can we infer the following from them? Answer yes or no: Barbara is playing squash.,yes
propositional,inference,simplification,inference,Consider the following premises: It is windy and Jennifer is running. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,inference,simplification,inference,Consider the following premises: Linda is making tea and it is late. Can we infer the following from them? Answer yes or no: Linda is making tea.,yes
propositional,inference,simplification,inference,Consider the following premises: Joseph is a sailor and James is playing a game. Can we infer the following from them? Answer yes or no: Joseph is a sailor.,yes
propositional,inference,simplification,inference,Consider the following premises: Jessica is climbing a mountain and Barbara is a scientist. Can we infer the following from them? Answer yes or no: Jessica is climbing a mountain.,yes
propositional,inference,simplification,inference,Consider the following premises: Mary is a cashier and Susan is an artist. Can we infer the following from them? Answer yes or no: Mary is a cashier.,yes
propositional,inference,simplification,inference,Consider the following premises: Sarah is bored and Patricia is making tea. Can we infer the following from them? Answer yes or no: Sarah is bored.,yes
propositional,inference,simplification,inference,Consider the following premises: It is late and it is raining. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,simplification,inference,Consider the following premises: It is raining and Richard is sad. Can we infer the following from them? Answer yes or no: Richard is sad.,yes
propositional,inference,simplification,inference,Consider the following premises: Linda is cooking and it is overcast. Can we infer the following from them? Answer yes or no: Linda is cooking.,yes
propositional,inference,simplification,inference,Consider the following premises: Susan is drinking water and Joseph is playing a game. Can we infer the following from them? Answer yes or no: Susan is drinking water.,yes
propositional,inference,simplification,inference,Consider the following premises: Thomas is an electrician and Barbara is a politician. Can we infer the following from them? Answer yes or no: Thomas is an electrician.,yes
propositional,inference,simplification,inference,Consider the following premises: David is sleeping and it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,inference,simplification,inference,Consider the following premises: Jessica is drinking water and James is a server. Can we infer the following from them? Answer yes or no: James is a server.,yes
propositional,inference,simplification,inference,Consider the following premises: Jessica is playing squash and Karen is playing a game. Can we infer the following from them? Answer yes or no: Karen is playing a game.,yes
propositional,inference,simplification,inference,Consider the following premises: Linda is cooking and William is playing a game. Can we infer the following from them? Answer yes or no: Linda is cooking.,yes
propositional,inference,simplification,inference,Consider the following premises: David is working and it is sunny. Can we infer the following from them? Answer yes or no: David is working.,yes
propositional,inference,simplification,inference,Consider the following premises: Charles is playing a game and Robert is working. Can we infer the following from them? Answer yes or no: Robert is working.,yes
propositional,inference,simplification,inference,Consider the following premises: Susan is a scientist and Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: Elisabeth is playing tennis.,yes
propositional,inference,simplification,inference,Consider the following premises: John is writing a letter and it is sunny. Can we infer the following from them? Answer yes or no: John is writing a letter.,yes
propositional,inference,simplification,inference,Consider the following premises: Richard is sleeping and Charles is playing tennis. Can we infer the following from them? Answer yes or no: Charles is playing tennis.,yes
propositional,inference,simplification,inference,Consider the following premises: It is windy and it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,simplification,inference,Consider the following premises: It is late and it is raining. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,simplification,inference,Consider the following premises: Barbara is a cashier and it is cold. Can we infer the following from them? Answer yes or no: Barbara is a cashier.,yes
propositional,inference,simplification,inference,Consider the following premises: Richard is reading a book and Mary is a bartender. Can we infer the following from them? Answer yes or no: Richard is reading a book.,yes
propositional,inference,simplification,inference,Consider the following premises: Jennifer is running and David is a server. Can we infer the following from them? Answer yes or no: David is a server.,yes
propositional,inference,simplification,inference,Consider the following premises: Richard is a janitor and it is cold. Can we infer the following from them? Answer yes or no: Richard is a janitor.,yes
propositional,inference,simplification,inference,Consider the following premises: Mary is excited and Elisabeth is working. Can we infer the following from them? Answer yes or no: Mary is excited.,yes
propositional,inference,simplification,inference,Consider the following premises: Robert is reading a book and it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes
propositional,inference,simplification,inference,Consider the following premises: It is overcast and it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,simplification,inference,Consider the following premises: Sarah is running and Thomas is playing tennis. Can we infer the following from them? Answer yes or no: Sarah is running.,yes
propositional,inference,simplification,inference,Consider the following premises: Susan is a server and David is taking a plane. Can we infer the following from them? Answer yes or no: Susan is a server.,yes
propositional,inference,simplification,inference,Consider the following premises: Charles is taking a plane and it is sunny. Can we infer the following from them? Answer yes or no: Charles is taking a plane.,yes
propositional,inference,simplification,inference,Consider the following premises: John is sad and William is cooking. Can we infer the following from them? Answer yes or no: William is cooking.,yes
propositional,inference,simplification,inference,Consider the following premises: It is sunny and Mary is a police officer. Can we infer the following from them? Answer yes or no: Mary is a police officer.,yes
propositional,inference,simplification,inference,Consider the following premises: It is cold and it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,simplification,inference,Consider the following premises: Elisabeth is sleeping and it is raining. Can we infer the following from them? Answer yes or no: Elisabeth is sleeping.,yes
propositional,inference,simplification,inference,Consider the following premises: Jennifer is an electrician and Jessica is making tea. Can we infer the following from them? Answer yes or no: Jessica is making tea.,yes
propositional,inference,simplification,inference,Consider the following premises: Charles is sad and Jennifer is driving a car. Can we infer the following from them? Answer yes or no: Charles is sad.,yes
propositional,inference,simplification,inference,Consider the following premises: It is overcast and it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,simplification,inference,Consider the following premises: It is snowing and Michael is listening to a song. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,simplification,inference,Consider the following premises: It is cloudy and Patricia is a janitor. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,inference,simplification,inference,Consider the following premises: It is windy and David is an electrician. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,inference,simplification,inference,Consider the following premises: Patricia is sleeping and Thomas is listening to a song. Can we infer the following from them? Answer yes or no: Thomas is listening to a song.,yes
propositional,inference,simplification,inference,Consider the following premises: Thomas is cooking and it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,simplification,inference,Consider the following premises: James is curious and it is windy. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,inference,simplification,inference,Consider the following premises: James is writing a letter and Jessica is sad. Can we infer the following from them? Answer yes or no: James is writing a letter.,yes
propositional,inference,simplification,inference,Consider the following premises: It is late and Barbara is excited. Can we infer the following from them? Answer yes or no: Barbara is excited.,yes
propositional,inference,simplification,inference,Consider the following premises: David is playing squash and Karen is sad. Can we infer the following from them? Answer yes or no: Karen is sad.,yes
propositional,inference,transitivity,inference,"Consider the following premises: If Thomas were a lawyer, then Linda is driving a car. If Jennifer were curious, then Thomas is a lawyer. Can we infer the following from them? Answer yes or no: If Jennifer were curious, then Linda is driving a car.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then Jennifer is a scientist. If James plays squash, then it is sunny. Can we infer the following from them? Answer yes or no: If James plays squash, then Jennifer is a scientist.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is windy, then Joseph is working. If Joseph works, then Sarah is a writer. Can we infer the following from them? Answer yes or no: If it is windy, then Sarah is a writer.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is overcast, then Sarah is working. If John were a police officer, then it is overcast. Can we infer the following from them? Answer yes or no: If John were a police officer, then Sarah is working.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If David were a janitor, then John is poor. If John were poor, then Richard is taking a plane. Can we infer the following from them? Answer yes or no: If David were a janitor, then Richard is taking a plane.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then Thomas is playing squash. If it is late, then it is sunny. Can we infer the following from them? Answer yes or no: If it is late, then Thomas is playing squash.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then Sarah is a carpenter. If Joseph plays a game, then it is snowing. Can we infer the following from them? Answer yes or no: If Joseph plays a game, then Sarah is a carpenter.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it rains, then Charles is working. If Sarah plays tennis, then it is raining. Can we infer the following from them? Answer yes or no: If Sarah plays tennis, then Charles is working.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Sarah listens to a song, then Michael is rich. If Thomas were poor, then Sarah is listening to a song. Can we infer the following from them? Answer yes or no: If Thomas were poor, then Michael is rich.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then Robert is running. If Richard were rich, then it is snowing. Can we infer the following from them? Answer yes or no: If Richard were rich, then Robert is running.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Joseph plays tennis, then it is cold. If it is cold, then it is windy. Can we infer the following from them? Answer yes or no: If Joseph plays tennis, then it is windy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then Susan is climbing a mountain. If Elisabeth reads a book, then it is sunny. Can we infer the following from them? Answer yes or no: If Elisabeth reads a book, then Susan is climbing a mountain.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Thomas works, then it is late. If it is late, then it is cloudy. Can we infer the following from them? Answer yes or no: If Thomas works, then it is cloudy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then it is cloudy. If Robert plays a game, then it is sunny. Can we infer the following from them? Answer yes or no: If Robert plays a game, then it is cloudy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Jennifer were fast, then Charles is climbing a mountain. If Charles climbs a mountain, then Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: If Jennifer were fast, then Elisabeth is sleeping.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Robert takes a plane, then it is windy. If it is late, then Robert is taking a plane. Can we infer the following from them? Answer yes or no: If it is late, then it is windy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If William drinks water, then Elisabeth is sad. If it is cold, then William is drinking water. Can we infer the following from them? Answer yes or no: If it is cold, then Elisabeth is sad.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Susan plays tennis, then it is cold. If it is cold, then Barbara is a taxi driver. Can we infer the following from them? Answer yes or no: If Susan plays tennis, then Barbara is a taxi driver.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Jennifer goes running, then it is cold. If it is cold, then David is a police officer. Can we infer the following from them? Answer yes or no: If Jennifer goes running, then David is a police officer.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is windy, then Thomas is climbing a mountain. If Thomas climbs a mountain, then Barbara is playing a game. Can we infer the following from them? Answer yes or no: If it is windy, then Barbara is playing a game.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Karen takes a plane, then Elisabeth is cooking. If Elisabeth cooks, then Karen is a doctor. Can we infer the following from them? Answer yes or no: If Karen takes a plane, then Karen is a doctor.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If James were fast, then it is cloudy. If Elisabeth sleeps, then James is fast. Can we infer the following from them? Answer yes or no: If Elisabeth sleeps, then it is cloudy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Karen goes running, then Thomas is a nurse. If Thomas were a nurse, then it is raining. Can we infer the following from them? Answer yes or no: If Karen goes running, then it is raining.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Michael listens to a song, then it is late. If it is late, then Linda is working. Can we infer the following from them? Answer yes or no: If Michael listens to a song, then Linda is working.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Sarah listens to a song, then Michael is bored. If Michael were bored, then Karen is writing a letter. Can we infer the following from them? Answer yes or no: If Sarah listens to a song, then Karen is writing a letter.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Richard cooks, then Jessica is a lawyer. If Jessica were a lawyer, then Sarah is a writer. Can we infer the following from them? Answer yes or no: If Richard cooks, then Sarah is a writer.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Richard listens to a song, then Charles is a server. If Charles were a server, then Mary is playing tennis. Can we infer the following from them? Answer yes or no: If Richard listens to a song, then Mary is playing tennis.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Richard sleeps, then Mary is sad. If Mary were sad, then Susan is bored. Can we infer the following from them? Answer yes or no: If Richard sleeps, then Susan is bored.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is windy, then Richard is curious. If Richard were curious, then Robert is writing a letter. Can we infer the following from them? Answer yes or no: If it is windy, then Robert is writing a letter.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Jennifer were a writer, then it is raining. If it is cloudy, then Jennifer is a writer. Can we infer the following from them? Answer yes or no: If it is cloudy, then it is raining.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Mary writes a letter, then it is snowing. If it snows, then it is overcast. Can we infer the following from them? Answer yes or no: If Mary writes a letter, then it is overcast.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is cloudy, then Elisabeth is taking a plane. If it snows, then it is cloudy. Can we infer the following from them? Answer yes or no: If it snows, then Elisabeth is taking a plane.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Barbara drives a car, then it is snowing. If David reads a book, then Barbara is driving a car. Can we infer the following from them? Answer yes or no: If David reads a book, then it is snowing.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Linda were excited, then Jessica is playing tennis. If James drives a car, then Linda is excited. Can we infer the following from them? Answer yes or no: If James drives a car, then Jessica is playing tennis.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is overcast, then Barbara is a bartender. If Mary were a nurse, then it is overcast. Can we infer the following from them? Answer yes or no: If Mary were a nurse, then Barbara is a bartender.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Karen were a police officer, then it is late. If it is late, then Jessica is playing tennis. Can we infer the following from them? Answer yes or no: If Karen were a police officer, then Jessica is playing tennis.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Patricia were excited, then Elisabeth is poor. If Richard takes a plane, then Patricia is excited. Can we infer the following from them? Answer yes or no: If Richard takes a plane, then Elisabeth is poor.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is cold, then Charles is playing a game. If it is windy, then it is cold. Can we infer the following from them? Answer yes or no: If it is windy, then Charles is playing a game.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Thomas were an electrician, then Jennifer is a poet. If it rains, then Thomas is an electrician. Can we infer the following from them? Answer yes or no: If it rains, then Jennifer is a poet.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Richard were a nurse, then it is raining. If it rains, then Mary is bored. Can we infer the following from them? Answer yes or no: If Richard were a nurse, then Mary is bored.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If John sleeps, then Charles is writing a letter. If Charles writes a letter, then John is a writer. Can we infer the following from them? Answer yes or no: If John sleeps, then John is a writer.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Joseph goes running, then Joseph is cooking. If Joseph cooks, then it is cold. Can we infer the following from them? Answer yes or no: If Joseph goes running, then it is cold.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Karen plays a game, then Thomas is a janitor. If Elisabeth were happy, then Karen is playing a game. Can we infer the following from them? Answer yes or no: If Elisabeth were happy, then Thomas is a janitor.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Jennifer were an artist, then Elisabeth is sad. If Michael works, then Jennifer is an artist. Can we infer the following from them? Answer yes or no: If Michael works, then Elisabeth is sad.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If Elisabeth plays a game, then it is sunny. If Elisabeth makes tea, then Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: If Elisabeth makes tea, then it is sunny.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then it is windy. If it is late, then it is snowing. Can we infer the following from them? Answer yes or no: If it is late, then it is windy.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is cloudy, then Charles is bored. If Robert cooks, then it is cloudy. Can we infer the following from them? Answer yes or no: If Robert cooks, then Charles is bored.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is overcast, then it is cloudy. If it is cloudy, then Sarah is poor. Can we infer the following from them? Answer yes or no: If it is overcast, then Sarah is poor.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If James were an office clerk, then Linda is a writer. If Susan were rich, then James is an office clerk. Can we infer the following from them? Answer yes or no: If Susan were rich, then Linda is a writer.",yes
propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then James is a carpenter. If it is windy, then it is sunny. Can we infer the following from them? Answer yes or no: If it is windy, then James is a carpenter.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Thomas were fast, then David is running. Thomas is fast. Can we infer the following from them? Answer yes or no: David is running.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Susan were a cashier, then Thomas is a poet. Susan is a cashier. Can we infer the following from them? Answer yes or no: Thomas is a poet.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If John makes tea, then Thomas is an electrician. John is making tea. Can we infer the following from them? Answer yes or no: Thomas is an electrician.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: James is a sailor. If James were a sailor, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Sarah climbs a mountain, then Linda is rich. Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: Linda is rich.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: William is cooking. If William cooks, then James is running. Can we infer the following from them? Answer yes or no: James is running.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Linda is sleeping. If Linda sleeps, then Elisabeth is a carpenter. Can we infer the following from them? Answer yes or no: Elisabeth is a carpenter.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Charles is cooking. If Charles cooks, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Mary were a sailor, then it is cloudy. Mary is a sailor. Can we infer the following from them? Answer yes or no: It is cloudy.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Richard is curious. If Richard were curious, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is windy. If it is windy, then William is a server. Can we infer the following from them? Answer yes or no: William is a server.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Joseph were an electrician, then Jessica is playing squash. Joseph is an electrician. Can we infer the following from them? Answer yes or no: Jessica is playing squash.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Barbara is playing a game. If Barbara plays a game, then Jennifer is a nurse. Can we infer the following from them? Answer yes or no: Jennifer is a nurse.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Michael were an electrician, then it is sunny. Michael is an electrician. Can we infer the following from them? Answer yes or no: It is sunny.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: David is taking a plane. If David takes a plane, then it is late. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Linda is playing squash. If Linda plays squash, then it is late. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is windy. If it is windy, then Thomas is fast. Can we infer the following from them? Answer yes or no: Thomas is fast.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: James is rich. If James were rich, then Robert is a taxi driver. Can we infer the following from them? Answer yes or no: Robert is a taxi driver.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Patricia is climbing a mountain. If Patricia climbs a mountain, then Charles is playing tennis. Can we infer the following from them? Answer yes or no: Charles is playing tennis.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Karen were a server, then Thomas is drinking water. Karen is a server. Can we infer the following from them? Answer yes or no: Thomas is drinking water.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is raining. If it rains, then Susan is driving a car. Can we infer the following from them? Answer yes or no: Susan is driving a car.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is windy. If it is windy, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it snows, then Michael is cooking. It is snowing. Can we infer the following from them? Answer yes or no: Michael is cooking.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Barbara is happy. If Barbara were happy, then Sarah is working. Can we infer the following from them? Answer yes or no: Sarah is working.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Sarah is rich. If Sarah were rich, then Michael is a server. Can we infer the following from them? Answer yes or no: Michael is a server.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Patricia were an astronaut, then John is fast. Patricia is an astronaut. Can we infer the following from them? Answer yes or no: John is fast.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it is sunny, then Thomas is a mechanic. It is sunny. Can we infer the following from them? Answer yes or no: Thomas is a mechanic.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Richard drinks water, then James is rich. Richard is drinking water. Can we infer the following from them? Answer yes or no: James is rich.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Elisabeth is an electrician. If Elisabeth were an electrician, then Michael is a bartender. Can we infer the following from them? Answer yes or no: Michael is a bartender.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Linda writes a letter, then Patricia is driving a car. Linda is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is driving a car.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it is late, then it is sunny. It is late. Can we infer the following from them? Answer yes or no: It is sunny.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is late. If it is late, then Jennifer is a police officer. Can we infer the following from them? Answer yes or no: Jennifer is a police officer.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it snows, then Robert is an astronaut. It is snowing. Can we infer the following from them? Answer yes or no: Robert is an astronaut.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If William were a bartender, then Jessica is a nurse. William is a bartender. Can we infer the following from them? Answer yes or no: Jessica is a nurse.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: William is a soldier. If William were a soldier, then William is writing a letter. Can we infer the following from them? Answer yes or no: William is writing a letter.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is late. If it is late, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it rains, then it is late. It is raining. Can we infer the following from them? Answer yes or no: It is late.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If William cooks, then Karen is running. William is cooking. Can we infer the following from them? Answer yes or no: Karen is running.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: It is snowing. If it snows, then Karen is sleeping. Can we infer the following from them? Answer yes or no: Karen is sleeping.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Sarah is an astronaut. If Sarah were an astronaut, then it is raining. Can we infer the following from them? Answer yes or no: It is raining.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Richard were a sailor, then Mary is drinking water. Richard is a sailor. Can we infer the following from them? Answer yes or no: Mary is drinking water.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: William is a police officer. If William were a police officer, then William is a writer. Can we infer the following from them? Answer yes or no: William is a writer.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it is sunny, then Richard is sleeping. It is sunny. Can we infer the following from them? Answer yes or no: Richard is sleeping.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If Joseph were a police officer, then Sarah is a musician. Joseph is a police officer. Can we infer the following from them? Answer yes or no: Sarah is a musician.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Patricia is a scientist. If Patricia were a scientist, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Michael is an astronaut. If Michael were an astronaut, then Sarah is a soldier. Can we infer the following from them? Answer yes or no: Sarah is a soldier.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Sarah is making tea. If Sarah makes tea, then Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Susan is writing a letter. If Susan writes a letter, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: Jennifer is playing a game. If Jennifer plays a game, then Linda is playing tennis. Can we infer the following from them? Answer yes or no: Linda is playing tennis.",yes
propositional,inference,modus ponens,inference,"Consider the following premises: If it is overcast, then Barbara is playing tennis. It is overcast. Can we infer the following from them? Answer yes or no: Barbara is playing tennis.",yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is cold or it is raining. It is not cold. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Patricia is climbing a mountain or Joseph is running. Patricia is not climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is running.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is late or it is snowing. It is not late. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Elisabeth is not rich. Elisabeth is rich or Elisabeth is climbing a mountain. Can we infer the following from them? Answer yes or no: Elisabeth is climbing a mountain.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Patricia is not taking a plane. Patricia is taking a plane or it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: William is not a scientist. William is a scientist or it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Robert is not taking a plane. Robert is taking a plane or it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: David is not taking a plane. David is taking a plane or Susan is sad. Can we infer the following from them? Answer yes or no: Susan is sad.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Michael is climbing a mountain or Richard is working. Michael is not climbing a mountain. Can we infer the following from them? Answer yes or no: Richard is working.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Mary is writing a letter or it is snowing. Mary is not writing a letter. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Patricia is rich or Patricia is writing a letter. Patricia is not rich. Can we infer the following from them? Answer yes or no: Patricia is writing a letter.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Elisabeth is making tea or it is windy. Elisabeth is not making tea. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not overcast. It is overcast or Karen is happy. Can we infer the following from them? Answer yes or no: Karen is happy.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Karen is reading a book or Michael is cooking. Karen is not reading a book. Can we infer the following from them? Answer yes or no: Michael is cooking.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is cloudy or Charles is driving a car. It is not cloudy. Can we infer the following from them? Answer yes or no: Charles is driving a car.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Karen is not drinking water. Karen is drinking water or Patricia is a police officer. Can we infer the following from them? Answer yes or no: Patricia is a police officer.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is cloudy or it is raining. It is not cloudy. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Barbara is a writer or it is late. Barbara is not a writer. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: David is not playing squash. David is playing squash or William is an astronaut. Can we infer the following from them? Answer yes or no: William is an astronaut.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Barbara is not listening to a song. Barbara is listening to a song or David is a mechanic. Can we infer the following from them? Answer yes or no: David is a mechanic.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Barbara is writing a letter or it is overcast. Barbara is not writing a letter. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is windy or it is raining. It is not windy. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Jennifer is not a scientist. Jennifer is a scientist or Joseph is cooking. Can we infer the following from them? Answer yes or no: Joseph is cooking.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Richard is a nurse or Sarah is making tea. Richard is not a nurse. Can we infer the following from them? Answer yes or no: Sarah is making tea.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: James is not sleeping. James is sleeping or William is a server. Can we infer the following from them? Answer yes or no: William is a server.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not cloudy. It is cloudy or Robert is reading a book. Can we infer the following from them? Answer yes or no: Robert is reading a book.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Karen is playing squash or Elisabeth is climbing a mountain. Karen is not playing squash. Can we infer the following from them? Answer yes or no: Elisabeth is climbing a mountain.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Thomas is running or Mary is writing a letter. Thomas is not running. Can we infer the following from them? Answer yes or no: Mary is writing a letter.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Susan is not a server. Susan is a server or Sarah is a writer. Can we infer the following from them? Answer yes or no: Sarah is a writer.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not cold. It is cold or William is running. Can we infer the following from them? Answer yes or no: William is running.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not late. It is late or it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is windy or Joseph is sleeping. It is not windy. Can we infer the following from them? Answer yes or no: Joseph is sleeping.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not cold. It is cold or it is late. Can we infer the following from them? Answer yes or no: It is late.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Barbara is taking a plane or David is reading a book. Barbara is not taking a plane. Can we infer the following from them? Answer yes or no: David is reading a book.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Richard is sleeping or Barbara is cooking. Richard is not sleeping. Can we infer the following from them? Answer yes or no: Barbara is cooking.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Joseph is not listening to a song. Joseph is listening to a song or Thomas is working. Can we infer the following from them? Answer yes or no: Thomas is working.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: William is a soldier or it is cold. William is not a soldier. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not cloudy. It is cloudy or Jessica is a doctor. Can we infer the following from them? Answer yes or no: Jessica is a doctor.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Jessica is not rich. Jessica is rich or Thomas is running. Can we infer the following from them? Answer yes or no: Thomas is running.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is sunny or Karen is working. It is not sunny. Can we infer the following from them? Answer yes or no: Karen is working.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Robert is an electrician or Linda is a musician. Robert is not an electrician. Can we infer the following from them? Answer yes or no: Linda is a musician.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is raining or Joseph is a cashier. It is not raining. Can we infer the following from them? Answer yes or no: Joseph is a cashier.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not snowing. It is snowing or Joseph is a taxi driver. Can we infer the following from them? Answer yes or no: Joseph is a taxi driver.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: David is playing a game or it is snowing. David is not playing a game. Can we infer the following from them? Answer yes or no: It is snowing.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not late. It is late or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: Richard is not climbing a mountain. Richard is climbing a mountain or Jennifer is cooking. Can we infer the following from them? Answer yes or no: Jennifer is cooking.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: David is rich or it is overcast. David is not rich. Can we infer the following from them? Answer yes or no: It is overcast.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not snowing. It is snowing or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: David is working or it is raining. David is not working. Can we infer the following from them? Answer yes or no: It is raining.,yes
propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not late. It is late or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Thomas plays squash, then Elisabeth is reading a book. If Elisabeth reads a book, then Thomas is playing squash. Can we infer the following from them? Answer yes or no: Thomas is playing squash if and only if Elisabeth is reading a book.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Richard plays tennis, then Jennifer is reading a book. If Jennifer reads a book, then Richard is playing tennis. Can we infer the following from them? Answer yes or no: Richard is playing tennis if and only if Jennifer is reading a book.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah were a police officer, then Joseph is sad. If Joseph were sad, then Sarah is a police officer. Can we infer the following from them? Answer yes or no: Joseph is sad if and only if Sarah is a police officer.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Charles cooks, then it is windy. If it is windy, then Charles is cooking. Can we infer the following from them? Answer yes or no: It is windy if and only if Charles is cooking.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Linda drinks water, then Michael is sleeping. If Michael sleeps, then Linda is drinking water. Can we infer the following from them? Answer yes or no: Michael is sleeping if and only if Linda is drinking water.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Karen reads a book, then Karen is climbing a mountain. If Karen climbs a mountain, then Karen is reading a book. Can we infer the following from them? Answer yes or no: Karen is reading a book if and only if Karen is climbing a mountain.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Michael climbs a mountain, then Patricia is running. If Patricia goes running, then Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Patricia is running if and only if Michael is climbing a mountain.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is overcast, then Charles is working. If Charles works, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast if and only if Charles is working.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it rains, then it is windy. If it is windy, then it is raining. Can we infer the following from them? Answer yes or no: It is windy if and only if it is raining.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is sunny, then David is running. If David goes running, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny if and only if David is running.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah goes running, then it is cold. If it is cold, then Sarah is running. Can we infer the following from them? Answer yes or no: Sarah is running if and only if it is cold.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Richard drinks water, then Mary is sleeping. If Mary sleeps, then Richard is drinking water. Can we infer the following from them? Answer yes or no: Mary is sleeping if and only if Richard is drinking water.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If James makes tea, then Richard is curious. If Richard were curious, then James is making tea. Can we infer the following from them? Answer yes or no: Richard is curious if and only if James is making tea.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is overcast, then Mary is running. If Mary goes running, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast if and only if Mary is running.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Robert plays tennis, then it is windy. If it is windy, then Robert is playing tennis. Can we infer the following from them? Answer yes or no: Robert is playing tennis if and only if it is windy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah were an artist, then David is listening to a song. If David listens to a song, then Sarah is an artist. Can we infer the following from them? Answer yes or no: David is listening to a song if and only if Sarah is an artist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is windy, then Linda is climbing a mountain. If Linda climbs a mountain, then it is windy. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain if and only if it is windy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Mary were happy, then David is a politician. If David were a politician, then Mary is happy. Can we infer the following from them? Answer yes or no: David is a politician if and only if Mary is happy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Joseph were a server, then it is cloudy. If it is cloudy, then Joseph is a server. Can we infer the following from them? Answer yes or no: Joseph is a server if and only if it is cloudy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Susan climbs a mountain, then Susan is a writer. If Susan were a writer, then Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is a writer if and only if Susan is climbing a mountain.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah listens to a song, then Karen is drinking water. If Karen drinks water, then Sarah is listening to a song. Can we infer the following from them? Answer yes or no: Sarah is listening to a song if and only if Karen is drinking water.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Elisabeth plays tennis, then Sarah is poor. If Sarah were poor, then Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: Elisabeth is playing tennis if and only if Sarah is poor.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Robert writes a letter, then Robert is running. If Robert goes running, then Robert is writing a letter. Can we infer the following from them? Answer yes or no: Robert is writing a letter if and only if Robert is running.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If William drinks water, then it is raining. If it rains, then William is drinking water. Can we infer the following from them? Answer yes or no: William is drinking water if and only if it is raining.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Jennifer were a lawyer, then Robert is playing a game. If Robert plays a game, then Jennifer is a lawyer. Can we infer the following from them? Answer yes or no: Robert is playing a game if and only if Jennifer is a lawyer.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is overcast, then Mary is playing tennis. If Mary plays tennis, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast if and only if Mary is playing tennis.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If John listens to a song, then Elisabeth is playing a game. If Elisabeth plays a game, then John is listening to a song. Can we infer the following from them? Answer yes or no: John is listening to a song if and only if Elisabeth is playing a game.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Jennifer writes a letter, then Thomas is taking a plane. If Thomas takes a plane, then Jennifer is writing a letter. Can we infer the following from them? Answer yes or no: Thomas is taking a plane if and only if Jennifer is writing a letter.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Robert were a writer, then Jessica is a scientist. If Jessica were a scientist, then Robert is a writer. Can we infer the following from them? Answer yes or no: Robert is a writer if and only if Jessica is a scientist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Robert plays tennis, then Richard is drinking water. If Richard drinks water, then Robert is playing tennis. Can we infer the following from them? Answer yes or no: Richard is drinking water if and only if Robert is playing tennis.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is cloudy, then Robert is playing tennis. If Robert plays tennis, then it is cloudy. Can we infer the following from them? Answer yes or no: Robert is playing tennis if and only if it is cloudy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it snows, then Jennifer is a carpenter. If Jennifer were a carpenter, then it is snowing. Can we infer the following from them? Answer yes or no: Jennifer is a carpenter if and only if it is snowing.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is late, then it is overcast. If it is overcast, then it is late. Can we infer the following from them? Answer yes or no: It is overcast if and only if it is late.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If John drinks water, then William is a scientist. If William were a scientist, then John is drinking water. Can we infer the following from them? Answer yes or no: John is drinking water if and only if William is a scientist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Karen reads a book, then Joseph is a scientist. If Joseph were a scientist, then Karen is reading a book. Can we infer the following from them? Answer yes or no: Karen is reading a book if and only if Joseph is a scientist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If David plays a game, then Linda is climbing a mountain. If Linda climbs a mountain, then David is playing a game. Can we infer the following from them? Answer yes or no: David is playing a game if and only if Linda is climbing a mountain.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is windy, then Richard is a cashier. If Richard were a cashier, then it is windy. Can we infer the following from them? Answer yes or no: Richard is a cashier if and only if it is windy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah drinks water, then it is windy. If it is windy, then Sarah is drinking water. Can we infer the following from them? Answer yes or no: It is windy if and only if Sarah is drinking water.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If James takes a plane, then Jennifer is making tea. If Jennifer makes tea, then James is taking a plane. Can we infer the following from them? Answer yes or no: James is taking a plane if and only if Jennifer is making tea.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If David reads a book, then it is snowing. If it snows, then David is reading a book. Can we infer the following from them? Answer yes or no: David is reading a book if and only if it is snowing.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is cloudy, then it is windy. If it is windy, then it is cloudy. Can we infer the following from them? Answer yes or no: It is windy if and only if it is cloudy.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If David were an artist, then it is late. If it is late, then David is an artist. Can we infer the following from them? Answer yes or no: It is late if and only if David is an artist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Joseph were poor, then Patricia is playing a game. If Patricia plays a game, then Joseph is poor. Can we infer the following from them? Answer yes or no: Joseph is poor if and only if Patricia is playing a game.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If James were a cashier, then it is sunny. If it is sunny, then James is a cashier. Can we infer the following from them? Answer yes or no: James is a cashier if and only if it is sunny.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Sarah works, then Charles is sad. If Charles were sad, then Sarah is working. Can we infer the following from them? Answer yes or no: Sarah is working if and only if Charles is sad.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Joseph were rich, then Thomas is curious. If Thomas were curious, then Joseph is rich. Can we infer the following from them? Answer yes or no: Joseph is rich if and only if Thomas is curious.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Robert listens to a song, then Linda is a scientist. If Linda were a scientist, then Robert is listening to a song. Can we infer the following from them? Answer yes or no: Robert is listening to a song if and only if Linda is a scientist.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If Jennifer works, then Joseph is a musician. If Joseph were a musician, then Jennifer is working. Can we infer the following from them? Answer yes or no: Jennifer is working if and only if Joseph is a musician.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is sunny, then it is snowing. If it snows, then it is sunny. Can we infer the following from them? Answer yes or no: It is snowing if and only if it is sunny.",yes
propositional,inference,biconditional introduction,inference,"Consider the following premises: If William were fast, then John is playing a game. If John plays a game, then William is fast. Can we infer the following from them? Answer yes or no: John is playing a game if and only if William is fast.",yes
propositional,inference,addition,inference,Consider the following premises: Thomas is a bartender. Can we infer the following from them? Answer yes or no: Thomas is a bartender or it is cloudy.,yes
propositional,inference,addition,inference,Consider the following premises: David is cooking. Can we infer the following from them? Answer yes or no: David is cooking or James is drinking water.,yes
propositional,inference,addition,inference,Consider the following premises: Linda is a bartender. Can we infer the following from them? Answer yes or no: Linda is a bartender or Barbara is an artist.,yes
propositional,inference,addition,inference,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is overcast or Thomas is an artist.,yes
propositional,inference,addition,inference,Consider the following premises: John is drinking water. Can we infer the following from them? Answer yes or no: John is drinking water or it is late.,yes
propositional,inference,addition,inference,Consider the following premises: Richard is a cashier. Can we infer the following from them? Answer yes or no: Richard is a cashier or Jessica is reading a book.,yes
propositional,inference,addition,inference,Consider the following premises: Jennifer is running. Can we infer the following from them? Answer yes or no: Jennifer is running or it is sunny.,yes
propositional,inference,addition,inference,Consider the following premises: Linda is cooking. Can we infer the following from them? Answer yes or no: Linda is cooking or it is cloudy.,yes
propositional,inference,addition,inference,Consider the following premises: Thomas is working. Can we infer the following from them? Answer yes or no: Thomas is working or it is cloudy.,yes
propositional,inference,addition,inference,Consider the following premises: Jessica is curious. Can we infer the following from them? Answer yes or no: Jessica is curious or it is late.,yes
propositional,inference,addition,inference,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is late or Linda is fast.,yes
propositional,inference,addition,inference,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is late or it is windy.,yes
propositional,inference,addition,inference,Consider the following premises: Mary is cooking. Can we infer the following from them? Answer yes or no: Mary is cooking or Jessica is a janitor.,yes
propositional,inference,addition,inference,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is overcast or it is snowing.,yes
propositional,inference,addition,inference,Consider the following premises: Barbara is playing tennis. Can we infer the following from them? Answer yes or no: Barbara is playing tennis or Barbara is an electrician.,yes
propositional,inference,addition,inference,Consider the following premises: Barbara is excited. Can we infer the following from them? Answer yes or no: Barbara is excited or Patricia is curious.,yes
propositional,inference,addition,inference,Consider the following premises: James is taking a plane. Can we infer the following from them? Answer yes or no: James is taking a plane or it is overcast.,yes
propositional,inference,addition,inference,Consider the following premises: John is a taxi driver. Can we infer the following from them? Answer yes or no: John is a taxi driver or Linda is a doctor.,yes
propositional,inference,addition,inference,Consider the following premises: Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is climbing a mountain or it is overcast.,yes
propositional,inference,addition,inference,Consider the following premises: Michael is running. Can we infer the following from them? Answer yes or no: Michael is running or Charles is playing tennis.,yes
propositional,inference,addition,inference,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or it is late.,yes
propositional,inference,addition,inference,Consider the following premises: Patricia is a musician. Can we infer the following from them? Answer yes or no: Patricia is a musician or it is cold.,yes
propositional,inference,addition,inference,Consider the following premises: David is an astronaut. Can we infer the following from them? Answer yes or no: David is an astronaut or Jessica is excited.,yes
propositional,inference,addition,inference,Consider the following premises: David is writing a letter. Can we infer the following from them? Answer yes or no: David is writing a letter or Linda is a musician.,yes
propositional,inference,addition,inference,Consider the following premises: David is writing a letter. Can we infer the following from them? Answer yes or no: David is writing a letter or it is late.,yes
propositional,inference,addition,inference,Consider the following premises: Sarah is making tea. Can we infer the following from them? Answer yes or no: Sarah is making tea or it is late.,yes
propositional,inference,addition,inference,Consider the following premises: Richard is a musician. Can we infer the following from them? Answer yes or no: Richard is a musician or Karen is a nurse.,yes
propositional,inference,addition,inference,Consider the following premises: Joseph is bored. Can we infer the following from them? Answer yes or no: Joseph is bored or Jennifer is poor.,yes
propositional,inference,addition,inference,Consider the following premises: Mary is a soldier. Can we infer the following from them? Answer yes or no: Mary is a soldier or Karen is running.,yes
propositional,inference,addition,inference,Consider the following premises: David is a musician. Can we infer the following from them? Answer yes or no: David is a musician or Linda is a politician.,yes
propositional,inference,addition,inference,Consider the following premises: Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: Elisabeth is playing a game or Patricia is a doctor.,yes
propositional,inference,addition,inference,Consider the following premises: Thomas is cooking. Can we infer the following from them? Answer yes or no: Thomas is cooking or William is a mechanic.,yes
propositional,inference,addition,inference,Consider the following premises: Thomas is running. Can we infer the following from them? Answer yes or no: Thomas is running or it is snowing.,yes
propositional,inference,addition,inference,Consider the following premises: Karen is a carpenter. Can we infer the following from them? Answer yes or no: Karen is a carpenter or it is windy.,yes
propositional,inference,addition,inference,Consider the following premises: Karen is drinking water. Can we infer the following from them? Answer yes or no: Karen is drinking water or it is snowing.,yes
propositional,inference,addition,inference,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is cold or Sarah is writing a letter.,yes
propositional,inference,addition,inference,Consider the following premises: John is an electrician. Can we infer the following from them? Answer yes or no: John is an electrician or Robert is working.,yes
propositional,inference,addition,inference,Consider the following premises: Linda is a lawyer. Can we infer the following from them? Answer yes or no: Linda is a lawyer or Richard is a carpenter.,yes
propositional,inference,addition,inference,Consider the following premises: Sarah is an office clerk. Can we infer the following from them? Answer yes or no: Sarah is an office clerk or Linda is a writer.,yes
propositional,inference,addition,inference,Consider the following premises: David is a mechanic. Can we infer the following from them? Answer yes or no: David is a mechanic or Richard is a carpenter.,yes
propositional,inference,addition,inference,Consider the following premises: Patricia is driving a car. Can we infer the following from them? Answer yes or no: Patricia is driving a car or Thomas is writing a letter.,yes
propositional,inference,addition,inference,Consider the following premises: John is writing a letter. Can we infer the following from them? Answer yes or no: John is writing a letter or Jessica is a carpenter.,yes
propositional,inference,addition,inference,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is cold or John is fast.,yes
propositional,inference,addition,inference,Consider the following premises: Joseph is a cashier. Can we infer the following from them? Answer yes or no: Joseph is a cashier or it is cold.,yes
propositional,inference,addition,inference,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is late or it is windy.,yes
propositional,inference,addition,inference,Consider the following premises: Jessica is taking a plane. Can we infer the following from them? Answer yes or no: Jessica is taking a plane or Jessica is playing squash.,yes
propositional,inference,addition,inference,Consider the following premises: Charles is driving a car. Can we infer the following from them? Answer yes or no: Charles is driving a car or Linda is listening to a song.,yes
propositional,inference,addition,inference,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is overcast or Barbara is drinking water.,yes
propositional,inference,addition,inference,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or John is a doctor.,yes
propositional,inference,addition,inference,Consider the following premises: Charles is sleeping. Can we infer the following from them? Answer yes or no: Charles is sleeping or Jennifer is excited.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Linda is running if and only if it is windy. Can we infer the following from them? Answer yes or no: If Linda goes running, then it is windy.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: James is a nurse if and only if it is snowing. Can we infer the following from them? Answer yes or no: If James were a nurse, then it is snowing.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Michael is a janitor if and only if Thomas is a writer. Can we infer the following from them? Answer yes or no: If Michael were a janitor, then Thomas is a writer.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Karen is a musician if and only if Richard is curious. Karen is not a musician. Can we infer the following from them? Answer yes or no: Richard is not curious.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is snowing if and only if Barbara is playing squash. Can we infer the following from them? Answer yes or no: If it snows, then Barbara is playing squash.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Jessica is a lawyer if and only if Karen is a taxi driver. Jessica is not a lawyer. Can we infer the following from them? Answer yes or no: Karen is not a taxi driver.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Patricia is curious if and only if David is making tea. Can we infer the following from them? Answer yes or no: If Patricia were curious, then David is making tea.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: John is an artist if and only if Susan is listening to a song. Can we infer the following from them? Answer yes or no: If Susan listens to a song, then John is an artist.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Charles is playing squash if and only if Karen is a taxi driver. Can we infer the following from them? Answer yes or no: If Charles plays squash, then Karen is a taxi driver.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is overcast if and only if Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: If it is overcast, then Michael is climbing a mountain.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is snowing if and only if Charles is fast. It is not snowing. Can we infer the following from them? Answer yes or no: Charles is not fast.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Karen is writing a letter if and only if Karen is playing a game. Can we infer the following from them? Answer yes or no: If Karen writes a letter, then Karen is playing a game.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Thomas is playing a game if and only if Charles is driving a car. Can we infer the following from them? Answer yes or no: If Charles drives a car, then Thomas is playing a game.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not overcast. It is overcast if and only if Elisabeth is making tea. Can we infer the following from them? Answer yes or no: Elisabeth is not making tea.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is raining if and only if Jennifer is driving a car. Can we infer the following from them? Answer yes or no: If it rains, then Jennifer is driving a car.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not windy. Patricia is playing squash if and only if it is windy. Can we infer the following from them? Answer yes or no: Patricia is not playing squash.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Charles is working if and only if Thomas is a server. Charles is not working. Can we infer the following from them? Answer yes or no: Thomas is not a server.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Linda is making tea if and only if Elisabeth is a police officer. Can we infer the following from them? Answer yes or no: If Elisabeth were a police officer, then Linda is making tea.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: David is playing tennis if and only if Jennifer is an artist. Can we infer the following from them? Answer yes or no: If David plays tennis, then Jennifer is an artist.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Sarah is not climbing a mountain. It is snowing if and only if Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not snowing.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Jennifer is an office clerk if and only if it is snowing. Can we infer the following from them? Answer yes or no: If it snows, then Jennifer is an office clerk.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is sunny if and only if David is a janitor. Can we infer the following from them? Answer yes or no: If it is sunny, then David is a janitor.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Jessica is a cashier if and only if Elisabeth is climbing a mountain. Elisabeth is not climbing a mountain. Can we infer the following from them? Answer yes or no: Jessica is not a cashier.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not overcast. It is windy if and only if it is overcast. Can we infer the following from them? Answer yes or no: It is not windy.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not overcast. It is overcast if and only if Jennifer is sleeping. Can we infer the following from them? Answer yes or no: Jennifer is not sleeping.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Jessica is not happy. Thomas is sleeping if and only if Jessica is happy. Can we infer the following from them? Answer yes or no: Thomas is not sleeping.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: David is not writing a letter. Linda is climbing a mountain if and only if David is writing a letter. Can we infer the following from them? Answer yes or no: Linda is not climbing a mountain.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Sarah is reading a book if and only if William is playing squash. Can we infer the following from them? Answer yes or no: If William plays squash, then Sarah is reading a book.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is late if and only if Richard is an astronaut. Can we infer the following from them? Answer yes or no: If it is late, then Richard is an astronaut.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: John is not working. John is working if and only if Richard is a police officer. Can we infer the following from them? Answer yes or no: Richard is not a police officer.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: James is a writer if and only if David is a taxi driver. Can we infer the following from them? Answer yes or no: If James were a writer, then David is a taxi driver.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not cold. It is cold if and only if Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is snowing if and only if Barbara is a scientist. Can we infer the following from them? Answer yes or no: If Barbara were a scientist, then it is snowing.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not windy. Joseph is a sailor if and only if it is windy. Can we infer the following from them? Answer yes or no: Joseph is not a sailor.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not windy. It is windy if and only if Patricia is playing squash. Can we infer the following from them? Answer yes or no: Patricia is not playing squash.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not overcast. Barbara is climbing a mountain if and only if it is overcast. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Jennifer is a server if and only if Mary is sleeping. Can we infer the following from them? Answer yes or no: If Mary sleeps, then Jennifer is a server.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Patricia is a sailor if and only if Karen is climbing a mountain. Patricia is not a sailor. Can we infer the following from them? Answer yes or no: Karen is not climbing a mountain.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Richard is playing a game if and only if it is late. Can we infer the following from them? Answer yes or no: If Richard plays a game, then it is late.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Charles is taking a plane if and only if Mary is reading a book. Charles is not taking a plane. Can we infer the following from them? Answer yes or no: Mary is not reading a book.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is snowing if and only if Susan is working. Can we infer the following from them? Answer yes or no: If it snows, then Susan is working.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Patricia is playing a game if and only if John is rich. Can we infer the following from them? Answer yes or no: If Patricia plays a game, then John is rich.",yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: It is windy if and only if Susan is working. Can we infer the following from them? Answer yes or no: If Susan works, then it is windy.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Karen is cooking if and only if Elisabeth is playing squash. Elisabeth is not playing squash. Can we infer the following from them? Answer yes or no: Karen is not cooking.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Thomas is not playing squash. John is a scientist if and only if Thomas is playing squash. Can we infer the following from them? Answer yes or no: John is not a scientist.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Linda is driving a car if and only if it is cloudy. It is not cloudy. Can we infer the following from them? Answer yes or no: Linda is not driving a car.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: James is not a taxi driver. William is a mechanic if and only if James is a taxi driver. Can we infer the following from them? Answer yes or no: William is not a mechanic.,yes
propositional,inference,biconditional elimination,inference,Consider the following premises: Joseph is not listening to a song. Joseph is listening to a song if and only if Thomas is working. Can we infer the following from them? Answer yes or no: Thomas is not working.,yes
propositional,inference,biconditional elimination,inference,"Consider the following premises: Jessica is playing a game if and only if James is sad. Can we infer the following from them? Answer yes or no: If Jessica plays a game, then James is sad.",yes
propositional,inference,biconditional elimination,inference,Consider the following premises: It is not raining. It is raining if and only if Jennifer is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not a politician.,yes
propositional,inference,resolution,inference,Consider the following premises: Joseph is an office clerk or David is an artist. Joseph is not an office clerk or Charles is making tea. Can we infer the following from them? Answer yes or no: David is an artist or Charles is making tea.,yes
propositional,inference,resolution,inference,Consider the following premises: Sarah is not happy or Richard is curious. Sarah is happy or it is cold. Can we infer the following from them? Answer yes or no: It is cold or Richard is curious.,yes
propositional,inference,resolution,inference,Consider the following premises: It is overcast or Linda is writing a letter. It is not overcast or Karen is fast. Can we infer the following from them? Answer yes or no: Linda is writing a letter or Karen is fast.,yes
propositional,inference,resolution,inference,Consider the following premises: Joseph is playing tennis or it is windy. Joseph is not playing tennis or Michael is running. Can we infer the following from them? Answer yes or no: It is windy or Michael is running.,yes
propositional,inference,resolution,inference,Consider the following premises: James is not a poet or William is taking a plane. James is a poet or Elisabeth is running. Can we infer the following from them? Answer yes or no: Elisabeth is running or William is taking a plane.,yes
propositional,inference,resolution,inference,Consider the following premises: Joseph is reading a book or Jennifer is curious. Joseph is not reading a book or Charles is sleeping. Can we infer the following from them? Answer yes or no: Jennifer is curious or Charles is sleeping.,yes
propositional,inference,resolution,inference,Consider the following premises: Elisabeth is working or David is bored. Elisabeth is not working or Barbara is an office clerk. Can we infer the following from them? Answer yes or no: David is bored or Barbara is an office clerk.,yes
propositional,inference,resolution,inference,Consider the following premises: Elisabeth is a soldier or Barbara is playing tennis. Elisabeth is not a soldier or Sarah is a carpenter. Can we infer the following from them? Answer yes or no: Barbara is playing tennis or Sarah is a carpenter.,yes
propositional,inference,resolution,inference,Consider the following premises: Charles is not reading a book or Michael is an artist. Charles is reading a book or it is raining. Can we infer the following from them? Answer yes or no: It is raining or Michael is an artist.,yes
propositional,inference,resolution,inference,Consider the following premises: David is not playing tennis or William is fast. David is playing tennis or Karen is a soldier. Can we infer the following from them? Answer yes or no: Karen is a soldier or William is fast.,yes
propositional,inference,resolution,inference,Consider the following premises: Michael is not making tea or it is sunny. Michael is making tea or John is running. Can we infer the following from them? Answer yes or no: John is running or it is sunny.,yes
propositional,inference,resolution,inference,Consider the following premises: James is a taxi driver or it is snowing. James is not a taxi driver or Michael is taking a plane. Can we infer the following from them? Answer yes or no: It is snowing or Michael is taking a plane.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is not a cashier or it is raining. Jessica is a cashier or James is writing a letter. Can we infer the following from them? Answer yes or no: James is writing a letter or it is raining.,yes
propositional,inference,resolution,inference,Consider the following premises: It is cloudy or Susan is a lawyer. It is not cloudy or Michael is making tea. Can we infer the following from them? Answer yes or no: Susan is a lawyer or Michael is making tea.,yes
propositional,inference,resolution,inference,Consider the following premises: Karen is making tea or Barbara is a politician. Karen is not making tea or Linda is an electrician. Can we infer the following from them? Answer yes or no: Barbara is a politician or Linda is an electrician.,yes
propositional,inference,resolution,inference,Consider the following premises: Patricia is taking a plane or Charles is a politician. Patricia is not taking a plane or it is snowing. Can we infer the following from them? Answer yes or no: Charles is a politician or it is snowing.,yes
propositional,inference,resolution,inference,Consider the following premises: Linda is excited or David is a mechanic. Linda is not excited or Patricia is playing a game. Can we infer the following from them? Answer yes or no: David is a mechanic or Patricia is playing a game.,yes
propositional,inference,resolution,inference,Consider the following premises: Patricia is not a carpenter or Elisabeth is a bartender. Patricia is a carpenter or David is cooking. Can we infer the following from them? Answer yes or no: David is cooking or Elisabeth is a bartender.,yes
propositional,inference,resolution,inference,Consider the following premises: Linda is not writing a letter or Jennifer is reading a book. Linda is writing a letter or Linda is an electrician. Can we infer the following from them? Answer yes or no: Linda is an electrician or Jennifer is reading a book.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not snowing or James is taking a plane. It is snowing or it is raining. Can we infer the following from them? Answer yes or no: It is raining or James is taking a plane.,yes
propositional,inference,resolution,inference,Consider the following premises: It is snowing or Thomas is sleeping. It is not snowing or Sarah is poor. Can we infer the following from them? Answer yes or no: Thomas is sleeping or Sarah is poor.,yes
propositional,inference,resolution,inference,Consider the following premises: Richard is an artist or Patricia is happy. Richard is not an artist or it is late. Can we infer the following from them? Answer yes or no: Patricia is happy or it is late.,yes
propositional,inference,resolution,inference,Consider the following premises: Thomas is writing a letter or it is overcast. Thomas is not writing a letter or Barbara is running. Can we infer the following from them? Answer yes or no: It is overcast or Barbara is running.,yes
propositional,inference,resolution,inference,Consider the following premises: It is raining or it is windy. It is not raining or it is overcast. Can we infer the following from them? Answer yes or no: It is windy or it is overcast.,yes
propositional,inference,resolution,inference,Consider the following premises: Karen is not a politician or Karen is making tea. Karen is a politician or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or Karen is making tea.,yes
propositional,inference,resolution,inference,Consider the following premises: Richard is not excited or Charles is a musician. Richard is excited or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast or Charles is a musician.,yes
propositional,inference,resolution,inference,Consider the following premises: Susan is drinking water or James is playing a game. Susan is not drinking water or Robert is sleeping. Can we infer the following from them? Answer yes or no: James is playing a game or Robert is sleeping.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not snowing or William is a lawyer. It is snowing or Barbara is cooking. Can we infer the following from them? Answer yes or no: Barbara is cooking or William is a lawyer.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not cold or Joseph is playing a game. It is cold or John is drinking water. Can we infer the following from them? Answer yes or no: John is drinking water or Joseph is playing a game.,yes
propositional,inference,resolution,inference,Consider the following premises: Charles is a poet or it is overcast. Charles is not a poet or John is a nurse. Can we infer the following from them? Answer yes or no: It is overcast or John is a nurse.,yes
propositional,inference,resolution,inference,Consider the following premises: Michael is not a sailor or it is raining. Michael is a sailor or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast or it is raining.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is a sailor or Mary is poor. Jessica is not a sailor or it is snowing. Can we infer the following from them? Answer yes or no: Mary is poor or it is snowing.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not cold or Karen is sad. It is cold or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny or Karen is sad.,yes
propositional,inference,resolution,inference,Consider the following premises: David is cooking or it is cold. David is not cooking or it is sunny. Can we infer the following from them? Answer yes or no: It is cold or it is sunny.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not raining or Mary is a sailor. It is raining or Patricia is curious. Can we infer the following from them? Answer yes or no: Patricia is curious or Mary is a sailor.,yes
propositional,inference,resolution,inference,Consider the following premises: Thomas is not a taxi driver or it is cold. Thomas is a taxi driver or Jessica is a musician. Can we infer the following from them? Answer yes or no: Jessica is a musician or it is cold.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not sunny or it is late. It is sunny or Mary is a musician. Can we infer the following from them? Answer yes or no: Mary is a musician or it is late.,yes
propositional,inference,resolution,inference,Consider the following premises: It is cloudy or it is cold. It is not cloudy or it is raining. Can we infer the following from them? Answer yes or no: It is cold or it is raining.,yes
propositional,inference,resolution,inference,Consider the following premises: James is not reading a book or Mary is a lawyer. James is reading a book or it is windy. Can we infer the following from them? Answer yes or no: It is windy or Mary is a lawyer.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is not playing tennis or Sarah is playing a game. Jessica is playing tennis or Susan is sleeping. Can we infer the following from them? Answer yes or no: Susan is sleeping or Sarah is playing a game.,yes
propositional,inference,resolution,inference,Consider the following premises: Barbara is not a doctor or Patricia is reading a book. Barbara is a doctor or Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Joseph is taking a plane or Patricia is reading a book.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is not a scientist or it is raining. Jessica is a scientist or it is windy. Can we infer the following from them? Answer yes or no: It is windy or it is raining.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is not a soldier or Barbara is a janitor. Jessica is a soldier or Karen is driving a car. Can we infer the following from them? Answer yes or no: Karen is driving a car or Barbara is a janitor.,yes
propositional,inference,resolution,inference,Consider the following premises: Michael is a writer or Jennifer is sleeping. Michael is not a writer or Karen is cooking. Can we infer the following from them? Answer yes or no: Jennifer is sleeping or Karen is cooking.,yes
propositional,inference,resolution,inference,Consider the following premises: Jessica is sleeping or Linda is a doctor. Jessica is not sleeping or it is cold. Can we infer the following from them? Answer yes or no: Linda is a doctor or it is cold.,yes
propositional,inference,resolution,inference,Consider the following premises: Joseph is not an artist or it is cloudy. Joseph is an artist or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny or it is cloudy.,yes
propositional,inference,resolution,inference,Consider the following premises: David is bored or James is playing squash. David is not bored or Charles is making tea. Can we infer the following from them? Answer yes or no: James is playing squash or Charles is making tea.,yes
propositional,inference,resolution,inference,Consider the following premises: It is late or it is windy. It is not late or Richard is poor. Can we infer the following from them? Answer yes or no: It is windy or Richard is poor.,yes
propositional,inference,resolution,inference,Consider the following premises: David is not poor or Richard is running. David is poor or it is windy. Can we infer the following from them? Answer yes or no: It is windy or Richard is running.,yes
propositional,inference,resolution,inference,Consider the following premises: It is not windy or Barbara is a cashier. It is windy or Jennifer is a writer. Can we infer the following from them? Answer yes or no: Jennifer is a writer or Barbara is a cashier.,yes
propositional,inference,modus tollens,contradiction,"Consider the following premises: It is not late. If it is cold, then it is late. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is cold, then David is cooking. David is not cooking. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Karen is poor. If it rains, then Karen is not poor. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Jennifer is not an electrician. If Michael were an office clerk, then Jennifer is an electrician. Can we infer the following from them? Answer yes or no: Michael is an office clerk.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Linda takes a plane, then it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: Linda is taking a plane.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it rains, then it is not late. It is late. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is cloudy, then David is a server. David is not a server. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is windy, then Linda is working. Linda is not working. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Joseph is a soldier. If Robert were a sailor, then Joseph is not a soldier. Can we infer the following from them? Answer yes or no: Robert is a sailor.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Linda is a cashier. If James were a writer, then Linda is not a cashier. Can we infer the following from them? Answer yes or no: James is a writer.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then it is windy. It is not windy. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Sarah is sleeping. If it is overcast, then Sarah is not sleeping. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Robert is not cooking. If James were a server, then Robert is cooking. Can we infer the following from them? Answer yes or no: James is a server.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: It is not snowing. If it is cold, then it is snowing. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: It is windy. If it is sunny, then it is not windy. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Elisabeth is not a carpenter. If it is overcast, then Elisabeth is a carpenter. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Michael is not a mechanic. If it snows, then Michael is a mechanic. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Thomas were a scientist, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Thomas is a scientist.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If James were a police officer, then Elisabeth is not a bartender. Elisabeth is a bartender. Can we infer the following from them? Answer yes or no: James is a police officer.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is cloudy, then Patricia is not a politician. Patricia is a politician. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it rains, then it is cold. It is not cold. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is windy, then William is a lawyer. William is not a lawyer. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If John were a carpenter, then it is not snowing. It is snowing. Can we infer the following from them? Answer yes or no: John is a carpenter.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Joseph is not a nurse. If Patricia climbs a mountain, then Joseph is a nurse. Can we infer the following from them? Answer yes or no: Patricia is climbing a mountain.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Jennifer is drinking water. If it snows, then Jennifer is not drinking water. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Karen is not playing squash. If Richard reads a book, then Karen is playing squash. Can we infer the following from them? Answer yes or no: Richard is reading a book.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: It is not windy. If Thomas climbs a mountain, then it is windy. Can we infer the following from them? Answer yes or no: Thomas is climbing a mountain.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: William is not climbing a mountain. If it is late, then William is climbing a mountain. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is windy, then James is not curious. James is curious. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Jessica reads a book, then Robert is a nurse. Robert is not a nurse. Can we infer the following from them? Answer yes or no: Jessica is reading a book.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Elisabeth is not playing squash. If Thomas were curious, then Elisabeth is playing squash. Can we infer the following from them? Answer yes or no: Thomas is curious.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Susan were curious, then it is cloudy. It is not cloudy. Can we infer the following from them? Answer yes or no: Susan is curious.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Elisabeth plays tennis, then Richard is listening to a song. Richard is not listening to a song. Can we infer the following from them? Answer yes or no: Elisabeth is playing tennis.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Richard plays a game, then it is not late. It is late. Can we infer the following from them? Answer yes or no: Richard is playing a game.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then Joseph is not an electrician. Joseph is an electrician. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it snows, then Barbara is not a nurse. Barbara is a nurse. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Joseph is not a poet. If Barbara sleeps, then Joseph is a poet. Can we infer the following from them? Answer yes or no: Barbara is sleeping.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Sarah is not drinking water. If Jessica cooks, then Sarah is drinking water. Can we infer the following from them? Answer yes or no: Jessica is cooking.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If John were happy, then Karen is a musician. Karen is not a musician. Can we infer the following from them? Answer yes or no: John is happy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Michael goes running, then it is overcast. It is not overcast. Can we infer the following from them? Answer yes or no: Michael is running.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: Jessica is a writer. If it is late, then Jessica is not a writer. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Mary were a cashier, then it is not overcast. It is overcast. Can we infer the following from them? Answer yes or no: Mary is a cashier.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Sarah plays a game, then Richard is not cooking. Richard is cooking. Can we infer the following from them? Answer yes or no: Sarah is playing a game.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is sunny, then it is not late. It is late. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is cloudy, then Linda is not playing a game. Linda is playing a game. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Richard were a politician, then it is not snowing. It is snowing. Can we infer the following from them? Answer yes or no: Richard is a politician.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If Barbara listens to a song, then Michael is not an artist. Michael is an artist. Can we infer the following from them? Answer yes or no: Barbara is listening to a song.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: John is a cashier. If it snows, then John is not a cashier. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is overcast, then it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,conjunction,contradiction,Consider the following premises: Mary is poor. Joseph is working. Can we infer the following from them? Answer yes or no: Joseph is not working.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Thomas is a doctor. Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Thomas is not a doctor.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is late. It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is overcast. It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cloudy. It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is snowing. It is cold. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is snowing. Jennifer is curious. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,contradiction,Consider the following premises: William is climbing a mountain. It is windy. Can we infer the following from them? Answer yes or no: William is not climbing a mountain.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Mary is a taxi driver. It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is windy. William is writing a letter. Can we infer the following from them? Answer yes or no: William is not writing a letter.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Karen is sleeping. It is raining. Can we infer the following from them? Answer yes or no: Karen is not sleeping.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is raining. Thomas is drinking water. Can we infer the following from them? Answer yes or no: Thomas is not drinking water.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. Michael is a writer. Can we infer the following from them? Answer yes or no: Michael is not a writer.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cloudy. It is sunny. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is raining. Jennifer is driving a car. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is overcast. Barbara is a doctor. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Sarah is a taxi driver. It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Robert is a bartender. It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Barbara is playing squash. It is overcast. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.,no
propositional,inference,conjunction,contradiction,Consider the following premises: William is making tea. Jessica is sleeping. Can we infer the following from them? Answer yes or no: William is not making tea.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Susan is taking a plane. It is raining. Can we infer the following from them? Answer yes or no: Susan is not taking a plane.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Elisabeth is working. Jennifer is a soldier. Can we infer the following from them? Answer yes or no: Jennifer is not a soldier.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is late. Sarah is happy. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Elisabeth is a soldier. John is reading a book. Can we infer the following from them? Answer yes or no: Elisabeth is not a soldier.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is snowing. It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Robert is making tea. It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. Sarah is working. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Linda is cooking. Robert is an artist. Can we infer the following from them? Answer yes or no: Robert is not an artist.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Susan is bored. Charles is poor. Can we infer the following from them? Answer yes or no: Susan is not bored.,no
propositional,inference,conjunction,contradiction,Consider the following premises: William is a doctor. Jennifer is reading a book. Can we infer the following from them? Answer yes or no: William is not a doctor.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Charles is an astronaut. Thomas is working. Can we infer the following from them? Answer yes or no: Thomas is not working.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Linda is making tea. It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Richard is playing squash. It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: James is climbing a mountain. It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Susan is poor. John is a mechanic. Can we infer the following from them? Answer yes or no: Susan is not poor.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Jessica is climbing a mountain. James is poor. Can we infer the following from them? Answer yes or no: James is not poor.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Linda is an artist. James is working. Can we infer the following from them? Answer yes or no: James is not working.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Charles is an office clerk. It is cloudy. Can we infer the following from them? Answer yes or no: Charles is not an office clerk.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. Charles is drinking water. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. James is listening to a song. Can we infer the following from them? Answer yes or no: James is not listening to a song.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Barbara is excited. Jessica is driving a car. Can we infer the following from them? Answer yes or no: Jessica is not driving a car.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is late. It is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is raining. It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Linda is a taxi driver. Jessica is a server. Can we infer the following from them? Answer yes or no: Jessica is not a server.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is late. Barbara is a politician. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Thomas is a server. Linda is a politician. Can we infer the following from them? Answer yes or no: Linda is not a politician.,no
propositional,inference,conjunction,contradiction,Consider the following premises: It is windy. Robert is a poet. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Jessica is bored. Elisabeth is a nurse. Can we infer the following from them? Answer yes or no: Jessica is not bored.,no
propositional,inference,conjunction,contradiction,Consider the following premises: Patricia is bored. Thomas is happy. Can we infer the following from them? Answer yes or no: Patricia is not bored.,no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Patricia were a doctor, then Charles is an electrician. If William plays squash, then Charles is an electrician. William is playing squash or Patricia is a doctor. Can we infer the following from them? Answer yes or no: Charles is not an electrician.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If James were a police officer, then it is overcast. If Patricia drinks water, then it is overcast. Patricia is drinking water or James is a police officer. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Barbara were an electrician, then Joseph is playing a game. If Robert were excited, then Joseph is playing a game. Barbara is an electrician or Robert is excited. Can we infer the following from them? Answer yes or no: Joseph is not playing a game.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it snows, then Jennifer is a writer. It is cold or it is snowing. If it is cold, then Jennifer is a writer. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: William is a scientist or Jennifer is drinking water. If William were a scientist, then Charles is a nurse. If Jennifer drinks water, then Charles is a nurse. Can we infer the following from them? Answer yes or no: Charles is not a nurse.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Patricia cooks, then John is a cashier. Patricia is cooking or Thomas is a politician. If Thomas were a politician, then John is a cashier. Can we infer the following from them? Answer yes or no: John is not a cashier.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If David reads a book, then James is a politician. It is cloudy or David is reading a book. If it is cloudy, then James is a politician. Can we infer the following from them? Answer yes or no: James is not a politician.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Charles were an artist, then Joseph is a carpenter. If it is cloudy, then Joseph is a carpenter. Charles is an artist or it is cloudy. Can we infer the following from them? Answer yes or no: Joseph is not a carpenter.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is late, then it is sunny. It is late or it is snowing. If it snows, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is cloudy or Sarah is reading a book. If it is cloudy, then Linda is a nurse. If Sarah reads a book, then Linda is a nurse. Can we infer the following from them? Answer yes or no: Linda is not a nurse.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is overcast, then William is sleeping. David is a police officer or it is overcast. If David were a police officer, then William is sleeping. Can we infer the following from them? Answer yes or no: William is not sleeping.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Elisabeth works, then Jennifer is drinking water. If James were a doctor, then Jennifer is drinking water. Elisabeth is working or James is a doctor. Can we infer the following from them? Answer yes or no: Jennifer is not drinking water.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is sunny, then Susan is sleeping. It is sunny or Jennifer is reading a book. If Jennifer reads a book, then Susan is sleeping. Can we infer the following from them? Answer yes or no: Susan is not sleeping.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Linda drives a car, then Sarah is a carpenter. Linda is driving a car or William is playing a game. If William plays a game, then Sarah is a carpenter. Can we infer the following from them? Answer yes or no: Sarah is not a carpenter.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Charles makes tea, then Barbara is a carpenter. If Robert were a soldier, then Barbara is a carpenter. Charles is making tea or Robert is a soldier. Can we infer the following from them? Answer yes or no: Barbara is not a carpenter.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is cloudy or John is a nurse. If it is cloudy, then it is sunny. If John were a nurse, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Robert plays tennis, then it is cold. If Patricia were fast, then it is cold. Patricia is fast or Robert is playing tennis. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Linda is a cashier or Mary is drinking water. If Mary drinks water, then Patricia is reading a book. If Linda were a cashier, then Patricia is reading a book. Can we infer the following from them? Answer yes or no: Patricia is not reading a book.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Charles plays tennis, then William is taking a plane. If it snows, then William is taking a plane. It is snowing or Charles is playing tennis. Can we infer the following from them? Answer yes or no: William is not taking a plane.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Susan drinks water, then Charles is driving a car. If it is cold, then Charles is driving a car. It is cold or Susan is drinking water. Can we infer the following from them? Answer yes or no: Charles is not driving a car.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Barbara writes a letter, then Joseph is a musician. Charles is climbing a mountain or Barbara is writing a letter. If Charles climbs a mountain, then Joseph is a musician. Can we infer the following from them? Answer yes or no: Joseph is not a musician.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Elisabeth writes a letter, then Barbara is reading a book. If Robert drinks water, then Barbara is reading a book. Elisabeth is writing a letter or Robert is drinking water. Can we infer the following from them? Answer yes or no: Barbara is not reading a book.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is sunny, then Elisabeth is reading a book. If David were an electrician, then Elisabeth is reading a book. David is an electrician or it is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is not reading a book.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If David were excited, then Jessica is curious. If John were bored, then Jessica is curious. John is bored or David is excited. Can we infer the following from them? Answer yes or no: Jessica is not curious.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Karen were an astronaut, then James is curious. Karen is an astronaut or it is sunny. If it is sunny, then James is curious. Can we infer the following from them? Answer yes or no: James is not curious.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If John were a politician, then Joseph is reading a book. It is snowing or John is a politician. If it snows, then Joseph is reading a book. Can we infer the following from them? Answer yes or no: Joseph is not reading a book.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Patricia were sad, then William is working. John is listening to a song or Patricia is sad. If John listens to a song, then William is working. Can we infer the following from them? Answer yes or no: William is not working.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it snows, then it is windy. It is snowing or it is cloudy. If it is cloudy, then it is windy. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is overcast, then Michael is sad. It is overcast or Charles is a mechanic. If Charles were a mechanic, then Michael is sad. Can we infer the following from them? Answer yes or no: Michael is not sad.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is raining or Joseph is driving a car. If it rains, then William is a musician. If Joseph drives a car, then William is a musician. Can we infer the following from them? Answer yes or no: William is not a musician.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Thomas is an artist or John is running. If Thomas were an artist, then Barbara is a politician. If John goes running, then Barbara is a politician. Can we infer the following from them? Answer yes or no: Barbara is not a politician.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is cold, then William is playing a game. If Joseph were a sailor, then William is playing a game. Joseph is a sailor or it is cold. Can we infer the following from them? Answer yes or no: William is not playing a game.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is late, then Mary is writing a letter. If Mary were an artist, then Mary is writing a letter. Mary is an artist or it is late. Can we infer the following from them? Answer yes or no: Mary is not writing a letter.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Jennifer were a sailor, then Joseph is taking a plane. Jennifer is a sailor or James is an astronaut. If James were an astronaut, then Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Joseph is not taking a plane.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is windy or Robert is working. If Robert works, then it is cloudy. If it is windy, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is cold, then Susan is listening to a song. It is cold or it is snowing. If it snows, then Susan is listening to a song. Can we infer the following from them? Answer yes or no: Susan is not listening to a song.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If John plays a game, then it is cold. William is taking a plane or John is playing a game. If William takes a plane, then it is cold. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Michael is a musician or it is snowing. If it snows, then John is a lawyer. If Michael were a musician, then John is a lawyer. Can we infer the following from them? Answer yes or no: John is not a lawyer.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Karen plays a game, then Patricia is drinking water. Karen is playing a game or William is playing squash. If William plays squash, then Patricia is drinking water. Can we infer the following from them? Answer yes or no: Patricia is not drinking water.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: William is excited or it is cloudy. If it is cloudy, then it is late. If William were excited, then it is late. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Elisabeth is working or Patricia is rich. If Elisabeth works, then it is cloudy. If Patricia were rich, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is overcast, then it is cloudy. If James were curious, then it is cloudy. James is curious or it is overcast. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is cold, then Thomas is a lawyer. It is cold or Jennifer is poor. If Jennifer were poor, then Thomas is a lawyer. Can we infer the following from them? Answer yes or no: Thomas is not a lawyer.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is late or Charles is poor. If it is late, then Richard is playing a game. If Charles were poor, then Richard is playing a game. Can we infer the following from them? Answer yes or no: Richard is not playing a game.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Barbara were a police officer, then Barbara is taking a plane. If it is cloudy, then Barbara is taking a plane. It is cloudy or Barbara is a police officer. Can we infer the following from them? Answer yes or no: Barbara is not taking a plane.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Patricia were a scientist, then Karen is an office clerk. If James were rich, then Karen is an office clerk. James is rich or Patricia is a scientist. Can we infer the following from them? Answer yes or no: Karen is not an office clerk.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is sunny or John is sad. If it is sunny, then it is overcast. If John were sad, then it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Thomas sleeps, then it is sunny. William is taking a plane or Thomas is sleeping. If William takes a plane, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Jennifer drinks water, then John is climbing a mountain. If it is windy, then John is climbing a mountain. Jennifer is drinking water or it is windy. Can we infer the following from them? Answer yes or no: John is not climbing a mountain.",no
propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Elisabeth is playing tennis or it is late. If Elisabeth plays tennis, then Robert is a bartender. If it is late, then Robert is a bartender. Can we infer the following from them? Answer yes or no: Robert is not a bartender.",no
propositional,inference,simplification,contradiction,Consider the following premises: It is raining and it is cloudy. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,simplification,contradiction,Consider the following premises: Barbara is a server and Robert is a soldier. Can we infer the following from them? Answer yes or no: Barbara is not a server.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and David is listening to a song. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: Patricia is fast and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: Richard is an electrician and it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is windy and it is cold. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,simplification,contradiction,Consider the following premises: Barbara is sleeping and Jennifer is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not a politician.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and Thomas is taking a plane. Can we infer the following from them? Answer yes or no: Thomas is not taking a plane.,no
propositional,inference,simplification,contradiction,Consider the following premises: Karen is an artist and it is overcast. Can we infer the following from them? Answer yes or no: Karen is not an artist.,no
propositional,inference,simplification,contradiction,Consider the following premises: Barbara is climbing a mountain and John is rich. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,no
propositional,inference,simplification,contradiction,Consider the following premises: Charles is listening to a song and it is windy. Can we infer the following from them? Answer yes or no: Charles is not listening to a song.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and Mary is running. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is snowing and David is a cashier. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is raining and Patricia is climbing a mountain. Can we infer the following from them? Answer yes or no: Patricia is not climbing a mountain.,no
propositional,inference,simplification,contradiction,Consider the following premises: Michael is a sailor and James is sleeping. Can we infer the following from them? Answer yes or no: James is not sleeping.,no
propositional,inference,simplification,contradiction,Consider the following premises: Jennifer is a poet and William is a scientist. Can we infer the following from them? Answer yes or no: William is not a scientist.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is raining and Karen is taking a plane. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is raining and it is cold. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,simplification,contradiction,Consider the following premises: James is making tea and it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is cold and it is late. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,simplification,contradiction,Consider the following premises: Mary is a poet and William is a bartender. Can we infer the following from them? Answer yes or no: Mary is not a poet.,no
propositional,inference,simplification,contradiction,Consider the following premises: Thomas is running and Barbara is a scientist. Can we infer the following from them? Answer yes or no: Barbara is not a scientist.,no
propositional,inference,simplification,contradiction,Consider the following premises: James is working and Richard is an astronaut. Can we infer the following from them? Answer yes or no: James is not working.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and Karen is playing squash. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,simplification,contradiction,Consider the following premises: Joseph is driving a car and it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,simplification,contradiction,Consider the following premises: William is climbing a mountain and Sarah is an electrician. Can we infer the following from them? Answer yes or no: Sarah is not an electrician.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and James is a cashier. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and William is playing squash. Can we infer the following from them? Answer yes or no: William is not playing squash.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is snowing and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,contradiction,Consider the following premises: Susan is a lawyer and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,contradiction,Consider the following premises: Charles is writing a letter and it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is windy and David is writing a letter. Can we infer the following from them? Answer yes or no: David is not writing a letter.,no
propositional,inference,simplification,contradiction,Consider the following premises: Karen is climbing a mountain and it is cloudy. Can we infer the following from them? Answer yes or no: Karen is not climbing a mountain.,no
propositional,inference,simplification,contradiction,Consider the following premises: Robert is a bartender and it is overcast. Can we infer the following from them? Answer yes or no: Robert is not a bartender.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and it is windy. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and it is snowing. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is cloudy and Linda is running. Can we infer the following from them? Answer yes or no: Linda is not running.,no
propositional,inference,simplification,contradiction,Consider the following premises: Michael is running and Michael is an artist. Can we infer the following from them? Answer yes or no: Michael is not running.,no
propositional,inference,simplification,contradiction,Consider the following premises: John is curious and it is cloudy. Can we infer the following from them? Answer yes or no: John is not curious.,no
propositional,inference,simplification,contradiction,Consider the following premises: Robert is sleeping and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: Karen is reading a book and Richard is a musician. Can we infer the following from them? Answer yes or no: Karen is not reading a book.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is cloudy and Patricia is a scientist. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is windy and it is overcast. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is cloudy and Mary is happy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and Thomas is excited. Can we infer the following from them? Answer yes or no: Thomas is not excited.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is late and Patricia is writing a letter. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is snowing and Charles is cooking. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,simplification,contradiction,Consider the following premises: It is snowing and Jessica is sleeping. Can we infer the following from them? Answer yes or no: Jessica is not sleeping.,no
propositional,inference,transitivity,contradiction,"Consider the following premises: If James were curious, then Jennifer is a police officer. If Jennifer were a police officer, then Karen is a server. Can we infer the following from them? Answer yes or no: The fact that James were curious does not imply that Karen is a server.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Richard sleeps, then Robert is writing a letter. If James were a nurse, then Richard is sleeping. Can we infer the following from them? Answer yes or no: The fact that James were a nurse does not imply that Robert is writing a letter.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Michael were a doctor, then James is a server. If James were a server, then it is raining. Can we infer the following from them? Answer yes or no: The fact that Michael were a doctor does not imply that it is raining.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Susan plays tennis, then Sarah is a scientist. If James were bored, then Susan is playing tennis. Can we infer the following from them? Answer yes or no: The fact that James were bored does not imply that Sarah is a scientist.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles were an electrician, then Elisabeth is working. If Elisabeth works, then Sarah is playing squash. Can we infer the following from them? Answer yes or no: The fact that Charles were an electrician does not imply that Sarah is playing squash.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Thomas plays tennis, then Robert is making tea. If it is overcast, then Thomas is playing tennis. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that Robert is making tea.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then Charles is a writer. If Linda drives a car, then it is cold. Can we infer the following from them? Answer yes or no: The fact that Linda drives a car does not imply that Charles is a writer.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is overcast, then it is cold. If Michael drinks water, then it is overcast. Can we infer the following from them? Answer yes or no: The fact that Michael drinks water does not imply that it is cold.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is sunny, then Joseph is playing tennis. If Joseph plays tennis, then Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Karen is climbing a mountain.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Karen were happy, then James is a police officer. If James were a politician, then Karen is happy. Can we infer the following from them? Answer yes or no: The fact that James were a politician does not imply that James is a police officer.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Michael were a soldier, then it is snowing. If it snows, then Linda is cooking. Can we infer the following from them? Answer yes or no: The fact that Michael were a soldier does not imply that Linda is cooking.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Joseph were a nurse, then Joseph is sleeping. If Joseph sleeps, then it is sunny. Can we infer the following from them? Answer yes or no: The fact that Joseph were a nurse does not imply that it is sunny.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Jessica were an office clerk, then Michael is a taxi driver. If Susan were a soldier, then Jessica is an office clerk. Can we infer the following from them? Answer yes or no: The fact that Susan were a soldier does not imply that Michael is a taxi driver.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles were an electrician, then it is late. If it is cloudy, then Charles is an electrician. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that it is late.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is late, then it is snowing. If it is overcast, then it is late. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that it is snowing.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is sunny, then Jessica is reading a book. If Jessica reads a book, then Karen is a writer. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Karen is a writer.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Barbara were a cashier, then David is playing a game. If Michael cooks, then Barbara is a cashier. Can we infer the following from them? Answer yes or no: The fact that Michael cooks does not imply that David is playing a game.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If John were sad, then Linda is running. If Karen drinks water, then John is sad. Can we infer the following from them? Answer yes or no: The fact that Karen drinks water does not imply that Linda is running.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then Barbara is taking a plane. If Karen were excited, then it is cold. Can we infer the following from them? Answer yes or no: The fact that Karen were excited does not imply that Barbara is taking a plane.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it snows, then it is windy. If it is cloudy, then it is snowing. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that it is windy.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is sunny, then it is raining. If James works, then it is sunny. Can we infer the following from them? Answer yes or no: The fact that James works does not imply that it is raining.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then it is cloudy. If it is cloudy, then it is sunny. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that it is sunny.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Patricia plays squash, then Mary is playing a game. If it is late, then Patricia is playing squash. Can we infer the following from them? Answer yes or no: The fact that it is late does not imply that Mary is playing a game.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Barbara writes a letter, then it is windy. If John reads a book, then Barbara is writing a letter. Can we infer the following from them? Answer yes or no: The fact that John reads a book does not imply that it is windy.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Barbara plays squash, then Patricia is a server. If Patricia were a server, then Richard is a taxi driver. Can we infer the following from them? Answer yes or no: The fact that Barbara plays squash does not imply that Richard is a taxi driver.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Richard plays tennis, then it is windy. If it is windy, then Barbara is curious. Can we infer the following from them? Answer yes or no: The fact that Richard plays tennis does not imply that Barbara is curious.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If James were excited, then Charles is a writer. If Charles were a writer, then David is sad. Can we infer the following from them? Answer yes or no: The fact that James were excited does not imply that David is sad.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is windy, then Sarah is poor. If Sarah were poor, then Charles is making tea. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Charles is making tea.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Jennifer were rich, then Barbara is listening to a song. If James were curious, then Jennifer is rich. Can we infer the following from them? Answer yes or no: The fact that James were curious does not imply that Barbara is listening to a song.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If David climbs a mountain, then Linda is sleeping. If Linda sleeps, then Patricia is drinking water. Can we infer the following from them? Answer yes or no: The fact that David climbs a mountain does not imply that Patricia is drinking water.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Jessica were a server, then Jessica is writing a letter. If Jessica writes a letter, then Michael is fast. Can we infer the following from them? Answer yes or no: The fact that Jessica were a server does not imply that Michael is fast.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it rains, then it is windy. If it snows, then it is raining. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that it is windy.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Sarah were a nurse, then it is sunny. If it is cold, then Sarah is a nurse. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that it is sunny.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Elisabeth listens to a song, then it is cold. If Jennifer were bored, then Elisabeth is listening to a song. Can we infer the following from them? Answer yes or no: The fact that Jennifer were bored does not imply that it is cold.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is windy, then Charles is driving a car. If Charles drives a car, then Sarah is a sailor. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Sarah is a sailor.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is overcast, then it is cloudy. If it is cloudy, then Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that Elisabeth is a soldier.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If John climbs a mountain, then Joseph is driving a car. If Joseph drives a car, then David is poor. Can we infer the following from them? Answer yes or no: The fact that John climbs a mountain does not imply that David is poor.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is windy, then Joseph is an astronaut. If Joseph were an astronaut, then James is a taxi driver. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that James is a taxi driver.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If David writes a letter, then Joseph is cooking. If it is sunny, then David is writing a letter. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Joseph is cooking.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If James goes running, then it is windy. If it is sunny, then James is running. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that it is windy.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Karen were an artist, then Sarah is bored. If Susan plays a game, then Karen is an artist. Can we infer the following from them? Answer yes or no: The fact that Susan plays a game does not imply that Sarah is bored.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is overcast, then it is sunny. If it is sunny, then Sarah is writing a letter. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that Sarah is writing a letter.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If James were an astronaut, then Mary is a doctor. If Mary were a doctor, then it is snowing. Can we infer the following from them? Answer yes or no: The fact that James were an astronaut does not imply that it is snowing.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles drives a car, then it is raining. If it rains, then Linda is a cashier. Can we infer the following from them? Answer yes or no: The fact that Charles drives a car does not imply that Linda is a cashier.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles works, then it is cloudy. If it is cloudy, then it is cold. Can we infer the following from them? Answer yes or no: The fact that Charles works does not imply that it is cold.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If William were an artist, then Karen is a scientist. If it is sunny, then William is an artist. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Karen is a scientist.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it rains, then Joseph is an astronaut. If Karen were fast, then it is raining. Can we infer the following from them? Answer yes or no: The fact that Karen were fast does not imply that Joseph is an astronaut.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Patricia plays squash, then John is a nurse. If Barbara were a mechanic, then Patricia is playing squash. Can we infer the following from them? Answer yes or no: The fact that Barbara were a mechanic does not imply that John is a nurse.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If Jessica were an electrician, then Robert is a politician. If Michael were excited, then Jessica is an electrician. Can we infer the following from them? Answer yes or no: The fact that Michael were excited does not imply that Robert is a politician.",no
propositional,inference,transitivity,contradiction,"Consider the following premises: If it is overcast, then Linda is making tea. If Linda makes tea, then Thomas is sad. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that Thomas is sad.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is cloudy, then Thomas is a writer. It is cloudy. Can we infer the following from them? Answer yes or no: Thomas is not a writer.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Karen were an electrician, then Robert is cooking. Karen is an electrician. Can we infer the following from them? Answer yes or no: Robert is not cooking.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is sunny. If it is sunny, then Barbara is working. Can we infer the following from them? Answer yes or no: Barbara is not working.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is raining. If it rains, then Barbara is running. Can we infer the following from them? Answer yes or no: Barbara is not running.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Charles is a server. If Charles were a server, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Charles sleeps, then it is windy. Charles is sleeping. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Sarah is driving a car. If Sarah drives a car, then it is late. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is overcast. If it is overcast, then John is playing squash. Can we infer the following from them? Answer yes or no: John is not playing squash.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Michael is a lawyer. If Michael were a lawyer, then Thomas is a soldier. Can we infer the following from them? Answer yes or no: Thomas is not a soldier.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Jennifer takes a plane, then Barbara is rich. Jennifer is taking a plane. Can we infer the following from them? Answer yes or no: Barbara is not rich.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Michael is reading a book. If Michael reads a book, then James is a doctor. Can we infer the following from them? Answer yes or no: James is not a doctor.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is overcast. If it is overcast, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: James is running. If James goes running, then Charles is a police officer. Can we infer the following from them? Answer yes or no: Charles is not a police officer.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is cold. If it is cold, then Jessica is climbing a mountain. Can we infer the following from them? Answer yes or no: Jessica is not climbing a mountain.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is late, then Richard is taking a plane. It is late. Can we infer the following from them? Answer yes or no: Richard is not taking a plane.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Linda is a musician. If Linda were a musician, then it is windy. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: John is a scientist. If John were a scientist, then Linda is playing a game. Can we infer the following from them? Answer yes or no: Linda is not playing a game.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Thomas is fast. If Thomas were fast, then Michael is an office clerk. Can we infer the following from them? Answer yes or no: Michael is not an office clerk.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Sarah is a mechanic. If Sarah were a mechanic, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is cloudy. If it is cloudy, then it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Patricia is a musician. If Patricia were a musician, then Jessica is poor. Can we infer the following from them? Answer yes or no: Jessica is not poor.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Patricia is taking a plane. If Patricia takes a plane, then Elisabeth is a nurse. Can we infer the following from them? Answer yes or no: Elisabeth is not a nurse.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Jessica were a mechanic, then John is a musician. Jessica is a mechanic. Can we infer the following from them? Answer yes or no: John is not a musician.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: David is sad. If David were sad, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Susan were fast, then Sarah is a server. Susan is fast. Can we infer the following from them? Answer yes or no: Sarah is not a server.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If William were a taxi driver, then it is cold. William is a taxi driver. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is overcast, then it is windy. It is overcast. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If William were a musician, then William is a doctor. William is a musician. Can we infer the following from them? Answer yes or no: William is not a doctor.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Thomas is listening to a song. If Thomas listens to a song, then Susan is a doctor. Can we infer the following from them? Answer yes or no: Susan is not a doctor.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Elisabeth were a politician, then Mary is an astronaut. Elisabeth is a politician. Can we infer the following from them? Answer yes or no: Mary is not an astronaut.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is overcast. If it is overcast, then Susan is playing tennis. Can we infer the following from them? Answer yes or no: Susan is not playing tennis.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Joseph were poor, then Joseph is an electrician. Joseph is poor. Can we infer the following from them? Answer yes or no: Joseph is not an electrician.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: James is taking a plane. If James takes a plane, then Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: Sarah is not climbing a mountain.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Linda listens to a song, then Karen is a poet. Linda is listening to a song. Can we infer the following from them? Answer yes or no: Karen is not a poet.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Linda were sad, then it is cold. Linda is sad. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Patricia is playing tennis. If Patricia plays tennis, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Sarah cooks, then Michael is writing a letter. Sarah is cooking. Can we infer the following from them? Answer yes or no: Michael is not writing a letter.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Susan is making tea. If Susan makes tea, then Jessica is fast. Can we infer the following from them? Answer yes or no: Jessica is not fast.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Charles is an office clerk. If Charles were an office clerk, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Mary were rich, then Elisabeth is an office clerk. Mary is rich. Can we infer the following from them? Answer yes or no: Elisabeth is not an office clerk.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Robert is driving a car. If Robert drives a car, then David is an astronaut. Can we infer the following from them? Answer yes or no: David is not an astronaut.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is sunny, then it is cold. It is sunny. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is late, then William is a poet. It is late. Can we infer the following from them? Answer yes or no: William is not a poet.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it snows, then Barbara is playing squash. It is snowing. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is cold, then Charles is playing tennis. It is cold. Can we infer the following from them? Answer yes or no: Charles is not playing tennis.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Elisabeth is a soldier. If Elisabeth were a soldier, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: Jennifer is taking a plane. If Jennifer takes a plane, then James is a police officer. Can we infer the following from them? Answer yes or no: James is not a police officer.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: James is sad. If James were sad, then Jessica is running. Can we infer the following from them? Answer yes or no: Jessica is not running.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: If Richard drinks water, then Mary is driving a car. Richard is drinking water. Can we infer the following from them? Answer yes or no: Mary is not driving a car.",no
propositional,inference,modus ponens,contradiction,"Consider the following premises: It is late. If it is late, then Barbara is making tea. Can we infer the following from them? Answer yes or no: Barbara is not making tea.",no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not cloudy. It is cloudy or it is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is sunny or Jessica is climbing a mountain. It is not sunny. Can we infer the following from them? Answer yes or no: Jessica is not climbing a mountain.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Elisabeth is not curious. Elisabeth is curious or it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: William is making tea or Jessica is running. William is not making tea. Can we infer the following from them? Answer yes or no: Jessica is not running.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Sarah is sad or William is excited. Sarah is not sad. Can we infer the following from them? Answer yes or no: William is not excited.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: David is not working. David is working or Jennifer is bored. Can we infer the following from them? Answer yes or no: Jennifer is not bored.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jennifer is not working. Jennifer is working or Karen is playing a game. Can we infer the following from them? Answer yes or no: Karen is not playing a game.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is raining or Sarah is rich. It is not raining. Can we infer the following from them? Answer yes or no: Sarah is not rich.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Richard is not playing squash. Richard is playing squash or it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Linda is a server or William is a bartender. Linda is not a server. Can we infer the following from them? Answer yes or no: William is not a bartender.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Thomas is climbing a mountain or it is sunny. Thomas is not climbing a mountain. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Karen is not a police officer. Karen is a police officer or Mary is driving a car. Can we infer the following from them? Answer yes or no: Mary is not driving a car.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Patricia is a carpenter or it is sunny. Patricia is not a carpenter. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is late or Karen is a doctor. It is not late. Can we infer the following from them? Answer yes or no: Karen is not a doctor.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: James is a soldier or it is cloudy. James is not a soldier. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not cold. It is cold or Mary is climbing a mountain. Can we infer the following from them? Answer yes or no: Mary is not climbing a mountain.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not sunny. It is sunny or Michael is taking a plane. Can we infer the following from them? Answer yes or no: Michael is not taking a plane.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Richard is not a doctor. Richard is a doctor or Mary is reading a book. Can we infer the following from them? Answer yes or no: Mary is not reading a book.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not late. It is late or John is working. Can we infer the following from them? Answer yes or no: John is not working.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Thomas is not fast. Thomas is fast or it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Patricia is an office clerk or Susan is a politician. Patricia is not an office clerk. Can we infer the following from them? Answer yes or no: Susan is not a politician.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: James is not playing squash. James is playing squash or it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is overcast or it is cloudy. It is not overcast. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is cold or Michael is a taxi driver. It is not cold. Can we infer the following from them? Answer yes or no: Michael is not a taxi driver.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Karen is not cooking. Karen is cooking or Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is not climbing a mountain.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is windy or William is poor. It is not windy. Can we infer the following from them? Answer yes or no: William is not poor.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: James is playing squash or Karen is curious. James is not playing squash. Can we infer the following from them? Answer yes or no: Karen is not curious.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not windy. It is windy or James is a police officer. Can we infer the following from them? Answer yes or no: James is not a police officer.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Barbara is taking a plane or Richard is running. Barbara is not taking a plane. Can we infer the following from them? Answer yes or no: Richard is not running.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not late. It is late or Patricia is a server. Can we infer the following from them? Answer yes or no: Patricia is not a server.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Barbara is driving a car or Patricia is an artist. Barbara is not driving a car. Can we infer the following from them? Answer yes or no: Patricia is not an artist.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Mary is making tea or Michael is working. Mary is not making tea. Can we infer the following from them? Answer yes or no: Michael is not working.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Robert is not working. Robert is working or Robert is playing a game. Can we infer the following from them? Answer yes or no: Robert is not playing a game.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: John is running or Mary is sad. John is not running. Can we infer the following from them? Answer yes or no: Mary is not sad.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Sarah is not an astronaut. Sarah is an astronaut or Sarah is an artist. Can we infer the following from them? Answer yes or no: Sarah is not an artist.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Charles is playing tennis or Karen is excited. Charles is not playing tennis. Can we infer the following from them? Answer yes or no: Karen is not excited.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is cloudy or it is windy. It is not cloudy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Patricia is excited or it is late. Patricia is not excited. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Barbara is listening to a song or Richard is reading a book. Barbara is not listening to a song. Can we infer the following from them? Answer yes or no: Richard is not reading a book.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: John is not a police officer. John is a police officer or Sarah is taking a plane. Can we infer the following from them? Answer yes or no: Sarah is not taking a plane.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jennifer is not a janitor. Jennifer is a janitor or Mary is working. Can we infer the following from them? Answer yes or no: Mary is not working.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Joseph is not poor. Joseph is poor or David is working. Can we infer the following from them? Answer yes or no: David is not working.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is windy or Robert is writing a letter. It is not windy. Can we infer the following from them? Answer yes or no: Robert is not writing a letter.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not cloudy. It is cloudy or Richard is reading a book. Can we infer the following from them? Answer yes or no: Richard is not reading a book.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: John is climbing a mountain or Karen is a writer. John is not climbing a mountain. Can we infer the following from them? Answer yes or no: Karen is not a writer.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Susan is not playing tennis. Susan is playing tennis or Elisabeth is working. Can we infer the following from them? Answer yes or no: Elisabeth is not working.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jessica is not listening to a song. Jessica is listening to a song or Susan is driving a car. Can we infer the following from them? Answer yes or no: Susan is not driving a car.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is cloudy or it is snowing. It is not cloudy. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Robert is not rich. Robert is rich or David is an electrician. Can we infer the following from them? Answer yes or no: David is not an electrician.,no
propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Karen is not playing a game. Karen is playing a game or Barbara is cooking. Can we infer the following from them? Answer yes or no: Barbara is not cooking.,no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Thomas were bored, then David is rich. If David were rich, then Thomas is bored. Can we infer the following from them? Answer yes or no: It is not true that David is rich if and only if Thomas is bored.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Jessica goes running, then James is sleeping. If James sleeps, then Jessica is running. Can we infer the following from them? Answer yes or no: It is not true that James is sleeping if and only if Jessica is running.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If John were an astronaut, then Richard is an artist. If Richard were an artist, then John is an astronaut. Can we infer the following from them? Answer yes or no: It is not true that Richard is an artist if and only if John is an astronaut.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If James listens to a song, then it is cold. If it is cold, then James is listening to a song. Can we infer the following from them? Answer yes or no: It is not true that it is cold if and only if James is listening to a song.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If James goes running, then Elisabeth is rich. If Elisabeth were rich, then James is running. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is rich if and only if James is running.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Barbara drinks water, then Linda is playing squash. If Linda plays squash, then Barbara is drinking water. Can we infer the following from them? Answer yes or no: It is not true that Barbara is drinking water if and only if Linda is playing squash.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is cold, then Joseph is playing a game. If Joseph plays a game, then it is cold. Can we infer the following from them? Answer yes or no: It is not true that Joseph is playing a game if and only if it is cold.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it rains, then Mary is working. If Mary works, then it is raining. Can we infer the following from them? Answer yes or no: It is not true that Mary is working if and only if it is raining.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael reads a book, then it is sunny. If it is sunny, then Michael is reading a book. Can we infer the following from them? Answer yes or no: It is not true that Michael is reading a book if and only if it is sunny.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it rains, then Jennifer is bored. If Jennifer were bored, then it is raining. Can we infer the following from them? Answer yes or no: It is not true that it is raining if and only if Jennifer is bored.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Thomas were a scientist, then Jessica is bored. If Jessica were bored, then Thomas is a scientist. Can we infer the following from them? Answer yes or no: It is not true that Thomas is a scientist if and only if Jessica is bored.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is windy, then it is sunny. If it is sunny, then it is windy. Can we infer the following from them? Answer yes or no: It is not true that it is windy if and only if it is sunny.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Linda were a taxi driver, then Sarah is a poet. If Sarah were a poet, then Linda is a taxi driver. Can we infer the following from them? Answer yes or no: It is not true that Linda is a taxi driver if and only if Sarah is a poet.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Barbara writes a letter, then Richard is an astronaut. If Richard were an astronaut, then Barbara is writing a letter. Can we infer the following from them? Answer yes or no: It is not true that Barbara is writing a letter if and only if Richard is an astronaut.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Jennifer were sad, then it is cloudy. If it is cloudy, then Jennifer is sad. Can we infer the following from them? Answer yes or no: It is not true that it is cloudy if and only if Jennifer is sad.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth were a politician, then Jennifer is a nurse. If Jennifer were a nurse, then Elisabeth is a politician. Can we infer the following from them? Answer yes or no: It is not true that Jennifer is a nurse if and only if Elisabeth is a politician.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Patricia plays a game, then it is cloudy. If it is cloudy, then Patricia is playing a game. Can we infer the following from them? Answer yes or no: It is not true that it is cloudy if and only if Patricia is playing a game.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Jennifer were a nurse, then it is windy. If it is windy, then Jennifer is a nurse. Can we infer the following from them? Answer yes or no: It is not true that Jennifer is a nurse if and only if it is windy.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael were a server, then James is playing squash. If James plays squash, then Michael is a server. Can we infer the following from them? Answer yes or no: It is not true that Michael is a server if and only if James is playing squash.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael cooks, then Charles is happy. If Charles were happy, then Michael is cooking. Can we infer the following from them? Answer yes or no: It is not true that Charles is happy if and only if Michael is cooking.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If James drives a car, then Thomas is making tea. If Thomas makes tea, then James is driving a car. Can we infer the following from them? Answer yes or no: It is not true that James is driving a car if and only if Thomas is making tea.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael were curious, then Jennifer is making tea. If Jennifer makes tea, then Michael is curious. Can we infer the following from them? Answer yes or no: It is not true that Jennifer is making tea if and only if Michael is curious.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth plays tennis, then it is sunny. If it is sunny, then Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: It is not true that it is sunny if and only if Elisabeth is playing tennis.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If John works, then Barbara is an astronaut. If Barbara were an astronaut, then John is working. Can we infer the following from them? Answer yes or no: It is not true that Barbara is an astronaut if and only if John is working.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is sunny, then Barbara is listening to a song. If Barbara listens to a song, then it is sunny. Can we infer the following from them? Answer yes or no: It is not true that it is sunny if and only if Barbara is listening to a song.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is late, then it is cold. If it is cold, then it is late. Can we infer the following from them? Answer yes or no: It is not true that it is cold if and only if it is late.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Richard were a musician, then William is an artist. If William were an artist, then Richard is a musician. Can we infer the following from them? Answer yes or no: It is not true that William is an artist if and only if Richard is a musician.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Susan were fast, then Sarah is an electrician. If Sarah were an electrician, then Susan is fast. Can we infer the following from them? Answer yes or no: It is not true that Sarah is an electrician if and only if Susan is fast.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Mary were a cashier, then Mary is a janitor. If Mary were a janitor, then Mary is a cashier. Can we infer the following from them? Answer yes or no: It is not true that Mary is a cashier if and only if Mary is a janitor.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Sarah cooks, then it is raining. If it rains, then Sarah is cooking. Can we infer the following from them? Answer yes or no: It is not true that Sarah is cooking if and only if it is raining.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is overcast, then Linda is a carpenter. If Linda were a carpenter, then it is overcast. Can we infer the following from them? Answer yes or no: It is not true that Linda is a carpenter if and only if it is overcast.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Robert drives a car, then Mary is sad. If Mary were sad, then Robert is driving a car. Can we infer the following from them? Answer yes or no: It is not true that Robert is driving a car if and only if Mary is sad.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it rains, then Linda is running. If Linda goes running, then it is raining. Can we infer the following from them? Answer yes or no: It is not true that it is raining if and only if Linda is running.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Karen were a janitor, then it is snowing. If it snows, then Karen is a janitor. Can we infer the following from them? Answer yes or no: It is not true that it is snowing if and only if Karen is a janitor.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Charles goes running, then it is sunny. If it is sunny, then Charles is running. Can we infer the following from them? Answer yes or no: It is not true that it is sunny if and only if Charles is running.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Joseph were excited, then it is cloudy. If it is cloudy, then Joseph is excited. Can we infer the following from them? Answer yes or no: It is not true that Joseph is excited if and only if it is cloudy.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael plays squash, then Elisabeth is playing a game. If Elisabeth plays a game, then Michael is playing squash. Can we infer the following from them? Answer yes or no: It is not true that Michael is playing squash if and only if Elisabeth is playing a game.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it rains, then Joseph is a musician. If Joseph were a musician, then it is raining. Can we infer the following from them? Answer yes or no: It is not true that it is raining if and only if Joseph is a musician.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is late, then John is bored. If John were bored, then it is late. Can we infer the following from them? Answer yes or no: It is not true that John is bored if and only if it is late.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth sleeps, then it is late. If it is late, then Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: It is not true that it is late if and only if Elisabeth is sleeping.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is cold, then Sarah is listening to a song. If Sarah listens to a song, then it is cold. Can we infer the following from them? Answer yes or no: It is not true that Sarah is listening to a song if and only if it is cold.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is overcast, then it is raining. If it rains, then it is overcast. Can we infer the following from them? Answer yes or no: It is not true that it is overcast if and only if it is raining.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Patricia plays tennis, then Patricia is playing squash. If Patricia plays squash, then Patricia is playing tennis. Can we infer the following from them? Answer yes or no: It is not true that Patricia is playing tennis if and only if Patricia is playing squash.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Patricia were a writer, then Richard is excited. If Richard were excited, then Patricia is a writer. Can we infer the following from them? Answer yes or no: It is not true that Patricia is a writer if and only if Richard is excited.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If David were a server, then it is snowing. If it snows, then David is a server. Can we infer the following from them? Answer yes or no: It is not true that it is snowing if and only if David is a server.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth takes a plane, then it is raining. If it rains, then Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: It is not true that it is raining if and only if Elisabeth is taking a plane.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Patricia plays a game, then it is overcast. If it is overcast, then Patricia is playing a game. Can we infer the following from them? Answer yes or no: It is not true that Patricia is playing a game if and only if it is overcast.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Sarah cooks, then it is windy. If it is windy, then Sarah is cooking. Can we infer the following from them? Answer yes or no: It is not true that Sarah is cooking if and only if it is windy.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Barbara cooks, then it is snowing. If it snows, then Barbara is cooking. Can we infer the following from them? Answer yes or no: It is not true that Barbara is cooking if and only if it is snowing.",no
propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is cold, then Jessica is a scientist. If Jessica were a scientist, then it is cold. Can we infer the following from them? Answer yes or no: It is not true that it is cold if and only if Jessica is a scientist.",no
propositional,inference,addition,contradiction,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,addition,contradiction,Consider the following premises: Linda is working. Can we infer the following from them? Answer yes or no: Linda is not working.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,contradiction,Consider the following premises: James is a lawyer. Can we infer the following from them? Answer yes or no: James is not a lawyer.,no
propositional,inference,addition,contradiction,Consider the following premises: James is a lawyer. Can we infer the following from them? Answer yes or no: James is not a lawyer.,no
propositional,inference,addition,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,addition,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,addition,contradiction,Consider the following premises: James is a musician. Can we infer the following from them? Answer yes or no: James is not a musician.,no
propositional,inference,addition,contradiction,Consider the following premises: Karen is a cashier. Can we infer the following from them? Answer yes or no: Karen is not a cashier.,no
propositional,inference,addition,contradiction,Consider the following premises: Thomas is listening to a song. Can we infer the following from them? Answer yes or no: Thomas is not listening to a song.,no
propositional,inference,addition,contradiction,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,addition,contradiction,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,addition,contradiction,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,addition,contradiction,Consider the following premises: Robert is running. Can we infer the following from them? Answer yes or no: Robert is not running.,no
propositional,inference,addition,contradiction,Consider the following premises: Patricia is curious. Can we infer the following from them? Answer yes or no: Patricia is not curious.,no
propositional,inference,addition,contradiction,Consider the following premises: Thomas is a cashier. Can we infer the following from them? Answer yes or no: Thomas is not a cashier.,no
propositional,inference,addition,contradiction,Consider the following premises: Mary is a nurse. Can we infer the following from them? Answer yes or no: Mary is not a nurse.,no
propositional,inference,addition,contradiction,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,contradiction,Consider the following premises: Richard is playing tennis. Can we infer the following from them? Answer yes or no: Richard is not playing tennis.,no
propositional,inference,addition,contradiction,Consider the following premises: Jennifer is cooking. Can we infer the following from them? Answer yes or no: Jennifer is not cooking.,no
propositional,inference,addition,contradiction,Consider the following premises: Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: Sarah is not climbing a mountain.,no
propositional,inference,addition,contradiction,Consider the following premises: Mary is excited. Can we infer the following from them? Answer yes or no: Mary is not excited.,no
propositional,inference,addition,contradiction,Consider the following premises: Joseph is a doctor. Can we infer the following from them? Answer yes or no: Joseph is not a doctor.,no
propositional,inference,addition,contradiction,Consider the following premises: Joseph is climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is not climbing a mountain.,no
propositional,inference,addition,contradiction,Consider the following premises: Sarah is playing squash. Can we infer the following from them? Answer yes or no: Sarah is not playing squash.,no
propositional,inference,addition,contradiction,Consider the following premises: John is a carpenter. Can we infer the following from them? Answer yes or no: John is not a carpenter.,no
propositional,inference,addition,contradiction,Consider the following premises: Karen is a bartender. Can we infer the following from them? Answer yes or no: Karen is not a bartender.,no
propositional,inference,addition,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,addition,contradiction,Consider the following premises: Mary is a nurse. Can we infer the following from them? Answer yes or no: Mary is not a nurse.,no
propositional,inference,addition,contradiction,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,addition,contradiction,Consider the following premises: Linda is a cashier. Can we infer the following from them? Answer yes or no: Linda is not a cashier.,no
propositional,inference,addition,contradiction,Consider the following premises: Charles is excited. Can we infer the following from them? Answer yes or no: Charles is not excited.,no
propositional,inference,addition,contradiction,Consider the following premises: Susan is an artist. Can we infer the following from them? Answer yes or no: Susan is not an artist.,no
propositional,inference,addition,contradiction,Consider the following premises: Elisabeth is a politician. Can we infer the following from them? Answer yes or no: Elisabeth is not a politician.,no
propositional,inference,addition,contradiction,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,contradiction,Consider the following premises: Robert is a soldier. Can we infer the following from them? Answer yes or no: Robert is not a soldier.,no
propositional,inference,addition,contradiction,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,addition,contradiction,Consider the following premises: Michael is a server. Can we infer the following from them? Answer yes or no: Michael is not a server.,no
propositional,inference,addition,contradiction,Consider the following premises: Charles is a mechanic. Can we infer the following from them? Answer yes or no: Charles is not a mechanic.,no
propositional,inference,addition,contradiction,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,addition,contradiction,Consider the following premises: Karen is a soldier. Can we infer the following from them? Answer yes or no: Karen is not a soldier.,no
propositional,inference,addition,contradiction,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,contradiction,Consider the following premises: Joseph is a server. Can we infer the following from them? Answer yes or no: Joseph is not a server.,no
propositional,inference,addition,contradiction,Consider the following premises: Mary is a server. Can we infer the following from them? Answer yes or no: Mary is not a server.,no
propositional,inference,addition,contradiction,Consider the following premises: Elisabeth is curious. Can we infer the following from them? Answer yes or no: Elisabeth is not curious.,no
propositional,inference,addition,contradiction,Consider the following premises: James is an electrician. Can we infer the following from them? Answer yes or no: James is not an electrician.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Joseph is listening to a song if and only if James is sad. Can we infer the following from them? Answer yes or no: The fact that Joseph listens to a song does not imply that James is sad.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is raining if and only if James is driving a car. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that James is driving a car.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is not snowing. Jennifer is sad if and only if it is snowing. Can we infer the following from them? Answer yes or no: Jennifer is sad.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is raining if and only if Linda is bored. It is not raining. Can we infer the following from them? Answer yes or no: Linda is bored.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: John is listening to a song if and only if Elisabeth is a cashier. Can we infer the following from them? Answer yes or no: The fact that John listens to a song does not imply that Elisabeth is a cashier.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is windy if and only if it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Barbara is not cooking. Barbara is cooking if and only if Patricia is a politician. Can we infer the following from them? Answer yes or no: Patricia is a politician.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Thomas is a nurse if and only if it is cloudy. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that Thomas is a nurse.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Robert is not reading a book. William is playing tennis if and only if Robert is reading a book. Can we infer the following from them? Answer yes or no: William is playing tennis.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Karen is not a taxi driver. Karen is a taxi driver if and only if Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: Elisabeth is writing a letter.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: John is a nurse if and only if Michael is driving a car. Can we infer the following from them? Answer yes or no: The fact that Michael drives a car does not imply that John is a nurse.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: James is a doctor if and only if Joseph is poor. Can we infer the following from them? Answer yes or no: The fact that Joseph were poor does not imply that James is a doctor.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Susan is not taking a plane. Mary is a cashier if and only if Susan is taking a plane. Can we infer the following from them? Answer yes or no: Mary is a cashier.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is late if and only if William is excited. It is not late. Can we infer the following from them? Answer yes or no: William is excited.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is cold if and only if Joseph is a sailor. It is not cold. Can we infer the following from them? Answer yes or no: Joseph is a sailor.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is cloudy if and only if Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that Elisabeth is writing a letter.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Michael is a bartender if and only if it is snowing. Can we infer the following from them? Answer yes or no: The fact that Michael were a bartender does not imply that it is snowing.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Susan is listening to a song if and only if it is cold. It is not cold. Can we infer the following from them? Answer yes or no: Susan is listening to a song.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Barbara is rich if and only if it is cold. Barbara is not rich. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Sarah is not playing tennis. It is cold if and only if Sarah is playing tennis. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Elisabeth is a server if and only if Patricia is drinking water. Elisabeth is not a server. Can we infer the following from them? Answer yes or no: Patricia is drinking water.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Jessica is a mechanic if and only if Richard is a scientist. Jessica is not a mechanic. Can we infer the following from them? Answer yes or no: Richard is a scientist.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Jessica is not taking a plane. Robert is sleeping if and only if Jessica is taking a plane. Can we infer the following from them? Answer yes or no: Robert is sleeping.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: David is not a taxi driver. David is a taxi driver if and only if it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Jennifer is sleeping if and only if Elisabeth is a server. Elisabeth is not a server. Can we infer the following from them? Answer yes or no: Jennifer is sleeping.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Patricia is not fast. Linda is an office clerk if and only if Patricia is fast. Can we infer the following from them? Answer yes or no: Linda is an office clerk.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is raining if and only if Michael is curious. It is not raining. Can we infer the following from them? Answer yes or no: Michael is curious.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: David is not listening to a song. David is listening to a song if and only if Patricia is rich. Can we infer the following from them? Answer yes or no: Patricia is rich.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Jessica is taking a plane if and only if it is cold. Can we infer the following from them? Answer yes or no: The fact that Jessica takes a plane does not imply that it is cold.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Joseph is climbing a mountain if and only if Joseph is sad. Can we infer the following from them? Answer yes or no: The fact that Joseph climbs a mountain does not imply that Joseph is sad.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is snowing if and only if Barbara is driving a car. It is not snowing. Can we infer the following from them? Answer yes or no: Barbara is driving a car.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: John is not an office clerk. John is an office clerk if and only if it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: James is a mechanic if and only if James is sad. Can we infer the following from them? Answer yes or no: The fact that James were sad does not imply that James is a mechanic.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Richard is playing tennis if and only if it is windy. Richard is not playing tennis. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Patricia is a taxi driver if and only if it is raining. It is not raining. Can we infer the following from them? Answer yes or no: Patricia is a taxi driver.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Barbara is not fast. Barbara is fast if and only if it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is overcast if and only if John is taking a plane. Can we infer the following from them? Answer yes or no: The fact that John takes a plane does not imply that it is overcast.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: James is excited if and only if it is snowing. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that James is excited.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: John is a writer if and only if John is an office clerk. Can we infer the following from them? Answer yes or no: The fact that John were an office clerk does not imply that John is a writer.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: William is rich if and only if Mary is a taxi driver. Mary is not a taxi driver. Can we infer the following from them? Answer yes or no: William is rich.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Patricia is not a bartender. Patricia is a bartender if and only if it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: John is a server if and only if Jessica is a cashier. Can we infer the following from them? Answer yes or no: The fact that John were a server does not imply that Jessica is a cashier.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Karen is not a scientist. Karen is a scientist if and only if Robert is reading a book. Can we infer the following from them? Answer yes or no: Robert is reading a book.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is not sunny. It is sunny if and only if it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Joseph is an office clerk if and only if Mary is playing squash. Can we infer the following from them? Answer yes or no: The fact that Mary plays squash does not imply that Joseph is an office clerk.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Sarah is listening to a song if and only if it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: Sarah is listening to a song.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is sunny if and only if Jennifer is a cashier. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Jennifer is a cashier.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: Susan is running if and only if Charles is playing tennis. Susan is not running. Can we infer the following from them? Answer yes or no: Charles is playing tennis.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: David is not a politician. David is a politician if and only if Jennifer is a lawyer. Can we infer the following from them? Answer yes or no: Jennifer is a lawyer.,no
propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is windy if and only if Sarah is cooking. It is not windy. Can we infer the following from them? Answer yes or no: Sarah is cooking.,no
propositional,inference,resolution,contradiction,Consider the following premises: Karen is fast or Susan is drinking water. Karen is not fast or Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Neither Susan is drinking water nor Patricia is a mechanic.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is sunny or Joseph is a lawyer. It is not sunny or Charles is fast. Can we infer the following from them? Answer yes or no: Neither Joseph is a lawyer nor Charles is fast.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not cloudy or Jennifer is a mechanic. It is cloudy or William is drinking water. Can we infer the following from them? Answer yes or no: Neither William is drinking water nor Jennifer is a mechanic.,no
propositional,inference,resolution,contradiction,Consider the following premises: Charles is bored or it is sunny. Charles is not bored or Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither it is sunny nor Karen is climbing a mountain.,no
propositional,inference,resolution,contradiction,Consider the following premises: Charles is not listening to a song or Barbara is playing squash. Charles is listening to a song or Thomas is an electrician. Can we infer the following from them? Answer yes or no: Neither Thomas is an electrician nor Barbara is playing squash.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not sunny or William is sleeping. It is sunny or it is raining. Can we infer the following from them? Answer yes or no: Neither it is raining nor William is sleeping.,no
propositional,inference,resolution,contradiction,Consider the following premises: Susan is not rich or Mary is a soldier. Susan is rich or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor Mary is a soldier.,no
propositional,inference,resolution,contradiction,Consider the following premises: Mary is playing tennis or Thomas is rich. Mary is not playing tennis or David is writing a letter. Can we infer the following from them? Answer yes or no: Neither Thomas is rich nor David is writing a letter.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is overcast or it is late. It is not overcast or it is sunny. Can we infer the following from them? Answer yes or no: Neither it is late nor it is sunny.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not snowing or it is sunny. It is snowing or Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: Neither Elisabeth is writing a letter nor it is sunny.,no
propositional,inference,resolution,contradiction,Consider the following premises: Jennifer is not reading a book or Susan is running. Jennifer is reading a book or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor Susan is running.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not cloudy or it is windy. It is cloudy or Robert is a mechanic. Can we infer the following from them? Answer yes or no: Neither Robert is a mechanic nor it is windy.,no
propositional,inference,resolution,contradiction,Consider the following premises: Susan is not a lawyer or Patricia is sleeping. Susan is a lawyer or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor Patricia is sleeping.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is overcast or Richard is an office clerk. It is not overcast or Robert is a soldier. Can we infer the following from them? Answer yes or no: Neither Richard is an office clerk nor Robert is a soldier.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is sunny or John is playing squash. It is not sunny or Thomas is sleeping. Can we infer the following from them? Answer yes or no: Neither John is playing squash nor Thomas is sleeping.,no
propositional,inference,resolution,contradiction,Consider the following premises: Jessica is running or Jessica is playing tennis. Jessica is not running or it is overcast. Can we infer the following from them? Answer yes or no: Neither Jessica is playing tennis nor it is overcast.,no
propositional,inference,resolution,contradiction,Consider the following premises: Richard is not running or it is cloudy. Richard is running or it is cold. Can we infer the following from them? Answer yes or no: Neither it is cold nor it is cloudy.,no
propositional,inference,resolution,contradiction,Consider the following premises: Linda is writing a letter or John is working. Linda is not writing a letter or Michael is a carpenter. Can we infer the following from them? Answer yes or no: Neither John is working nor Michael is a carpenter.,no
propositional,inference,resolution,contradiction,Consider the following premises: Mary is running or Elisabeth is cooking. Mary is not running or Susan is playing squash. Can we infer the following from them? Answer yes or no: Neither Elisabeth is cooking nor Susan is playing squash.,no
propositional,inference,resolution,contradiction,Consider the following premises: Michael is a carpenter or it is cloudy. Michael is not a carpenter or it is late. Can we infer the following from them? Answer yes or no: Neither it is cloudy nor it is late.,no
propositional,inference,resolution,contradiction,Consider the following premises: Patricia is sleeping or it is windy. Patricia is not sleeping or Linda is playing a game. Can we infer the following from them? Answer yes or no: Neither it is windy nor Linda is playing a game.,no
propositional,inference,resolution,contradiction,Consider the following premises: Sarah is a soldier or it is late. Sarah is not a soldier or Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither it is late nor Linda is climbing a mountain.,no
propositional,inference,resolution,contradiction,Consider the following premises: Jessica is not sleeping or it is windy. Jessica is sleeping or John is a mechanic. Can we infer the following from them? Answer yes or no: Neither John is a mechanic nor it is windy.,no
propositional,inference,resolution,contradiction,Consider the following premises: Barbara is a lawyer or Karen is playing a game. Barbara is not a lawyer or David is curious. Can we infer the following from them? Answer yes or no: Neither Karen is playing a game nor David is curious.,no
propositional,inference,resolution,contradiction,Consider the following premises: Mary is not an astronaut or Patricia is a lawyer. Mary is an astronaut or Patricia is playing squash. Can we infer the following from them? Answer yes or no: Neither Patricia is playing squash nor Patricia is a lawyer.,no
propositional,inference,resolution,contradiction,Consider the following premises: Charles is running or Robert is playing a game. Charles is not running or it is sunny. Can we infer the following from them? Answer yes or no: Neither Robert is playing a game nor it is sunny.,no
propositional,inference,resolution,contradiction,Consider the following premises: Jessica is taking a plane or Richard is a sailor. Jessica is not taking a plane or it is snowing. Can we infer the following from them? Answer yes or no: Neither Richard is a sailor nor it is snowing.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not cloudy or Karen is playing squash. It is cloudy or it is sunny. Can we infer the following from them? Answer yes or no: Neither it is sunny nor Karen is playing squash.,no
propositional,inference,resolution,contradiction,Consider the following premises: Elisabeth is driving a car or it is cold. Elisabeth is not driving a car or Jennifer is a politician. Can we infer the following from them? Answer yes or no: Neither it is cold nor Jennifer is a politician.,no
propositional,inference,resolution,contradiction,Consider the following premises: Joseph is not a doctor or William is a bartender. Joseph is a doctor or Robert is listening to a song. Can we infer the following from them? Answer yes or no: Neither Robert is listening to a song nor William is a bartender.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not raining or Barbara is taking a plane. It is raining or William is an astronaut. Can we infer the following from them? Answer yes or no: Neither William is an astronaut nor Barbara is taking a plane.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not cold or Susan is an astronaut. It is cold or it is raining. Can we infer the following from them? Answer yes or no: Neither it is raining nor Susan is an astronaut.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not cold or Joseph is rich. It is cold or David is bored. Can we infer the following from them? Answer yes or no: Neither David is bored nor Joseph is rich.,no
propositional,inference,resolution,contradiction,Consider the following premises: Elisabeth is not fast or it is cloudy. Elisabeth is fast or Charles is an astronaut. Can we infer the following from them? Answer yes or no: Neither Charles is an astronaut nor it is cloudy.,no
propositional,inference,resolution,contradiction,Consider the following premises: Karen is playing a game or it is raining. Karen is not playing a game or it is sunny. Can we infer the following from them? Answer yes or no: Neither it is raining nor it is sunny.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not snowing or it is raining. It is snowing or Michael is a janitor. Can we infer the following from them? Answer yes or no: Neither Michael is a janitor nor it is raining.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is late or Karen is a bartender. It is not late or Jessica is playing a game. Can we infer the following from them? Answer yes or no: Neither Karen is a bartender nor Jessica is playing a game.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is late or Sarah is bored. It is not late or it is sunny. Can we infer the following from them? Answer yes or no: Neither Sarah is bored nor it is sunny.,no
propositional,inference,resolution,contradiction,Consider the following premises: David is not a mechanic or it is snowing. David is a mechanic or William is a lawyer. Can we infer the following from them? Answer yes or no: Neither William is a lawyer nor it is snowing.,no
propositional,inference,resolution,contradiction,Consider the following premises: William is not a bartender or Linda is playing tennis. William is a bartender or Richard is a politician. Can we infer the following from them? Answer yes or no: Neither Richard is a politician nor Linda is playing tennis.,no
propositional,inference,resolution,contradiction,Consider the following premises: Jessica is a cashier or David is running. Jessica is not a cashier or Joseph is an artist. Can we infer the following from them? Answer yes or no: Neither David is running nor Joseph is an artist.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is cold or Joseph is a soldier. It is not cold or it is windy. Can we infer the following from them? Answer yes or no: Neither Joseph is a soldier nor it is windy.,no
propositional,inference,resolution,contradiction,Consider the following premises: Patricia is not cooking or it is raining. Patricia is cooking or John is an artist. Can we infer the following from them? Answer yes or no: Neither John is an artist nor it is raining.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is cold or Charles is running. It is not cold or Richard is happy. Can we infer the following from them? Answer yes or no: Neither Charles is running nor Richard is happy.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is overcast or Joseph is running. It is not overcast or Linda is a taxi driver. Can we infer the following from them? Answer yes or no: Neither Joseph is running nor Linda is a taxi driver.,no
propositional,inference,resolution,contradiction,Consider the following premises: Susan is not fast or Karen is playing a game. Susan is fast or it is cold. Can we infer the following from them? Answer yes or no: Neither it is cold nor Karen is playing a game.,no
propositional,inference,resolution,contradiction,Consider the following premises: James is not making tea or Karen is playing a game. James is making tea or Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither Robert is climbing a mountain nor Karen is playing a game.,no
propositional,inference,resolution,contradiction,Consider the following premises: Elisabeth is not reading a book or Michael is an astronaut. Elisabeth is reading a book or it is sunny. Can we infer the following from them? Answer yes or no: Neither it is sunny nor Michael is an astronaut.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is snowing or it is sunny. It is not snowing or Charles is excited. Can we infer the following from them? Answer yes or no: Neither it is sunny nor Charles is excited.,no
propositional,inference,resolution,contradiction,Consider the following premises: It is not snowing or it is late. It is snowing or Mary is sad. Can we infer the following from them? Answer yes or no: Neither Mary is sad nor it is late.,no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Karen is not sad. If Linda takes a plane, then Karen is sad. Can we infer the following from them? Answer yes or no: Robert is not a sailor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not cloudy. If Joseph plays a game, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: James is not a scientist. If David were a sailor, then James is a scientist. Can we infer the following from them? Answer yes or no: Patricia is listening to a song.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Linda is a janitor. If Linda plays squash, then Linda is not a janitor. Can we infer the following from them? Answer yes or no: Sarah is not taking a plane.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not windy. If it is overcast, then it is windy. Can we infer the following from them? Answer yes or no: Mary is not a janitor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If it rains, then Karen is driving a car. Karen is not driving a car. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If David takes a plane, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Jennifer is a soldier.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Charles is a sailor. If Robert drives a car, then Charles is not a sailor. Can we infer the following from them? Answer yes or no: John is a poet.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Karen were an artist, then it is not sunny. It is sunny. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Robert were a taxi driver, then it is overcast. It is not overcast. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Karen is not running. If Linda plays squash, then Karen is running. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Patricia were a cashier, then Thomas is taking a plane. Thomas is not taking a plane. Can we infer the following from them? Answer yes or no: James is a nurse.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Michael cooks, then it is overcast. It is not overcast. Can we infer the following from them? Answer yes or no: Michael is not a sailor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Joseph is a poet. If Karen were a doctor, then Joseph is not a poet. Can we infer the following from them? Answer yes or no: Jessica is working.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: James is taking a plane. If it is overcast, then James is not taking a plane. Can we infer the following from them? Answer yes or no: Michael is a janitor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If David were a nurse, then Sarah is reading a book. Sarah is not reading a book. Can we infer the following from them? Answer yes or no: Karen is not running.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Barbara were a cashier, then Barbara is making tea. Barbara is not making tea. Can we infer the following from them? Answer yes or no: Linda is not writing a letter.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If William cooks, then it is not cloudy. It is cloudy. Can we infer the following from them? Answer yes or no: Richard is working.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Barbara goes running, then Jessica is not sleeping. Jessica is sleeping. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Robert is not a server. If Jessica plays tennis, then Robert is a server. Can we infer the following from them? Answer yes or no: Joseph is reading a book.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Jennifer plays squash, then James is not a doctor. James is a doctor. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Susan is an astronaut. If Elisabeth sleeps, then Susan is not an astronaut. Can we infer the following from them? Answer yes or no: Thomas is a janitor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Patricia were a scientist, then Michael is cooking. Michael is not cooking. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is overcast. If it is cloudy, then it is not overcast. Can we infer the following from them? Answer yes or no: Joseph is not a bartender.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Michael plays a game, then Elisabeth is a doctor. Elisabeth is not a doctor. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Barbara drinks water, then it is windy. It is not windy. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Jennifer plays squash, then Michael is working. Michael is not working. Can we infer the following from them? Answer yes or no: Susan is sad.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Robert plays squash, then it is sunny. It is not sunny. Can we infer the following from them? Answer yes or no: Linda is not a nurse.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Michael plays a game, then it is not sunny. It is sunny. Can we infer the following from them? Answer yes or no: Richard is a lawyer.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Elisabeth were a sailor, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: Michael is a server.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If it is cold, then Richard is not poor. Richard is poor. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Thomas were an artist, then it is not snowing. It is snowing. Can we infer the following from them? Answer yes or no: Joseph is a doctor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If James plays a game, then Sarah is rich. Sarah is not rich. Can we infer the following from them? Answer yes or no: Michael is drinking water.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If it is sunny, then Patricia is not cooking. Patricia is cooking. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is cold. If it rains, then it is not cold. Can we infer the following from them? Answer yes or no: Joseph is playing a game.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Barbara is listening to a song. If it is windy, then Barbara is not listening to a song. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not cloudy. If Thomas goes running, then it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is not cooking.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not windy. If David takes a plane, then it is windy. Can we infer the following from them? Answer yes or no: David is not reading a book.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Patricia were a cashier, then it is windy. It is not windy. Can we infer the following from them? Answer yes or no: John is not a politician.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Karen were a janitor, then it is not overcast. It is overcast. Can we infer the following from them? Answer yes or no: James is not a cashier.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Barbara is not playing squash. If Elisabeth writes a letter, then Barbara is playing squash. Can we infer the following from them? Answer yes or no: Patricia is not a janitor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: James is a doctor. If it is overcast, then James is not a doctor. Can we infer the following from them? Answer yes or no: Linda is driving a car.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If it rains, then Susan is not running. Susan is running. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Robert were a musician, then Richard is not a taxi driver. Richard is a taxi driver. Can we infer the following from them? Answer yes or no: Karen is not a poet.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Karen is not writing a letter. If William were poor, then Karen is writing a letter. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Sarah is listening to a song. If John were a poet, then Sarah is not listening to a song. Can we infer the following from them? Answer yes or no: Elisabeth is taking a plane.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If John drives a car, then it is not windy. It is windy. Can we infer the following from them? Answer yes or no: William is not a janitor.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: Elisabeth is poor. If Linda were a scientist, then Elisabeth is not poor. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Charles goes running, then John is an artist. John is not an artist. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,inference,modus tollens,unrelated,"Consider the following premises: If Joseph plays a game, then Karen is making tea. Karen is not making tea. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,conjunction,unrelated,Consider the following premises: Jessica is poor. Sarah is a cashier. Can we infer the following from them? Answer yes or no: Linda is taking a plane.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Patricia is listening to a song. It is raining. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is late. Michael is curious. Can we infer the following from them? Answer yes or no: John is not sleeping.,no
propositional,inference,conjunction,unrelated,Consider the following premises: James is a nurse. Charles is a police officer. Can we infer the following from them? Answer yes or no: Patricia is not writing a letter.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Elisabeth is excited. It is overcast. Can we infer the following from them? Answer yes or no: Barbara is not playing squash.,no
propositional,inference,conjunction,unrelated,Consider the following premises: James is sleeping. It is windy. Can we infer the following from them? Answer yes or no: Michael is taking a plane.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Charles is taking a plane. Jennifer is driving a car. Can we infer the following from them? Answer yes or no: James is a police officer.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is late. It is overcast. Can we infer the following from them? Answer yes or no: Richard is a doctor.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is overcast. Linda is a police officer. Can we infer the following from them? Answer yes or no: James is driving a car.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Barbara is bored. It is overcast. Can we infer the following from them? Answer yes or no: Thomas is a politician.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is snowing. It is late. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Charles is a server. Joseph is playing a game. Can we infer the following from them? Answer yes or no: Karen is not playing squash.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is sunny. Mary is working. Can we infer the following from them? Answer yes or no: Joseph is an astronaut.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Jennifer is happy. John is reading a book. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Linda is a poet. It is late. Can we infer the following from them? Answer yes or no: Charles is not a lawyer.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Thomas is poor. James is drinking water. Can we infer the following from them? Answer yes or no: Elisabeth is sleeping.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Patricia is running. Sarah is an astronaut. Can we infer the following from them? Answer yes or no: Mary is not playing tennis.,no
propositional,inference,conjunction,unrelated,Consider the following premises: John is working. Robert is a nurse. Can we infer the following from them? Answer yes or no: Robert is an astronaut.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Karen is cooking. Elisabeth is a nurse. Can we infer the following from them? Answer yes or no: Robert is driving a car.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is sunny. James is bored. Can we infer the following from them? Answer yes or no: Jessica is not listening to a song.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is windy. Elisabeth is reading a book. Can we infer the following from them? Answer yes or no: Jennifer is not cooking.,no
propositional,inference,conjunction,unrelated,Consider the following premises: James is reading a book. Barbara is a bartender. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is cold. Richard is an office clerk. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Patricia is rich. It is raining. Can we infer the following from them? Answer yes or no: Thomas is not playing tennis.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Sarah is a doctor. Thomas is reading a book. Can we infer the following from them? Answer yes or no: Barbara is not a mechanic.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is cloudy. David is rich. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is cold. It is overcast. Can we infer the following from them? Answer yes or no: James is a sailor.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is windy. It is late. Can we infer the following from them? Answer yes or no: James is not a poet.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is overcast. Sarah is rich. Can we infer the following from them? Answer yes or no: Michael is not an electrician.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Jennifer is happy. David is working. Can we infer the following from them? Answer yes or no: Richard is not a poet.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Michael is cooking. James is playing a game. Can we infer the following from them? Answer yes or no: Linda is a carpenter.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Elisabeth is a scientist. James is a doctor. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Joseph is bored. It is late. Can we infer the following from them? Answer yes or no: Karen is not drinking water.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Michael is playing a game. It is cold. Can we infer the following from them? Answer yes or no: Susan is not drinking water.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Linda is a cashier. Jessica is a janitor. Can we infer the following from them? Answer yes or no: Barbara is not taking a plane.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Jessica is a janitor. David is playing squash. Can we infer the following from them? Answer yes or no: Susan is playing a game.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Richard is sad. Jennifer is an office clerk. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Karen is a taxi driver. Mary is an artist. Can we infer the following from them? Answer yes or no: It is not raining.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is overcast. It is windy. Can we infer the following from them? Answer yes or no: David is not a taxi driver.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is cold. Barbara is driving a car. Can we infer the following from them? Answer yes or no: Richard is not cooking.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Linda is climbing a mountain. Patricia is playing a game. Can we infer the following from them? Answer yes or no: James is not making tea.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Linda is driving a car. It is cloudy. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,conjunction,unrelated,Consider the following premises: William is a lawyer. Richard is running. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Patricia is a sailor. Linda is driving a car. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Michael is sleeping. Mary is driving a car. Can we infer the following from them? Answer yes or no: Sarah is reading a book.,no
propositional,inference,conjunction,unrelated,Consider the following premises: It is cold. It is cloudy. Can we infer the following from them? Answer yes or no: Joseph is not driving a car.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Charles is working. It is raining. Can we infer the following from them? Answer yes or no: Jessica is an astronaut.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Patricia is a poet. David is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is not playing squash.,no
propositional,inference,conjunction,unrelated,Consider the following premises: Karen is running. It is windy. Can we infer the following from them? Answer yes or no: Elisabeth is not curious.,no
propositional,inference,conjunction,unrelated,Consider the following premises: David is a mechanic. Michael is playing squash. Can we infer the following from them? Answer yes or no: David is a politician.,no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is sunny, then Robert is playing tennis. If Mary were a police officer, then Robert is playing tennis. Mary is a police officer or it is sunny. Can we infer the following from them? Answer yes or no: Jessica is sad.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: William is working or James is excited. If James were excited, then it is cloudy. If William works, then it is cloudy. Can we infer the following from them? Answer yes or no: Joseph is playing a game.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Patricia drinks water, then Sarah is a cashier. If Patricia were an artist, then Sarah is a cashier. Patricia is an artist or Patricia is drinking water. Can we infer the following from them? Answer yes or no: Mary is playing tennis.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Michael were happy, then William is a sailor. Michael is happy or David is a server. If David were a server, then William is a sailor. Can we infer the following from them? Answer yes or no: Karen is cooking.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Elisabeth is playing tennis or Karen is happy. If Karen were happy, then Karen is a musician. If Elisabeth plays tennis, then Karen is a musician. Can we infer the following from them? Answer yes or no: Elisabeth is an electrician.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Richard were a scientist, then it is overcast. If it is cold, then it is overcast. Richard is a scientist or it is cold. Can we infer the following from them? Answer yes or no: Jennifer is a nurse.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Charles were a carpenter, then it is snowing. William is drinking water or Charles is a carpenter. If William drinks water, then it is snowing. Can we infer the following from them? Answer yes or no: David is working.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Linda were a mechanic, then Susan is a janitor. Karen is driving a car or Linda is a mechanic. If Karen drives a car, then Susan is a janitor. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is overcast, then David is poor. If John were a bartender, then David is poor. It is overcast or John is a bartender. Can we infer the following from them? Answer yes or no: William is a server.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If James were a musician, then Michael is listening to a song. James is a musician or it is cloudy. If it is cloudy, then Michael is listening to a song. Can we infer the following from them? Answer yes or no: Linda is making tea.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Patricia plays a game, then Linda is playing tennis. If Jessica writes a letter, then Linda is playing tennis. Patricia is playing a game or Jessica is writing a letter. Can we infer the following from them? Answer yes or no: Jessica is a taxi driver.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is overcast, then it is sunny. If Jennifer makes tea, then it is sunny. Jennifer is making tea or it is overcast. Can we infer the following from them? Answer yes or no: William is reading a book.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is late, then it is raining. Mary is a mechanic or it is late. If Mary were a mechanic, then it is raining. Can we infer the following from them? Answer yes or no: David is drinking water.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Thomas were an artist, then Thomas is a poet. Thomas is an artist or Jessica is a janitor. If Jessica were a janitor, then Thomas is a poet. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is overcast, then it is windy. It is overcast or Susan is playing a game. If Susan plays a game, then it is windy. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Sarah were a poet, then William is an electrician. Sarah is a poet or Karen is curious. If Karen were curious, then William is an electrician. Can we infer the following from them? Answer yes or no: Elisabeth is a mechanic.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is windy, then it is late. If Thomas listens to a song, then it is late. Thomas is listening to a song or it is windy. Can we infer the following from them? Answer yes or no: Patricia is a taxi driver.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Joseph reads a book, then it is overcast. If Linda writes a letter, then it is overcast. Joseph is reading a book or Linda is writing a letter. Can we infer the following from them? Answer yes or no: Jessica is climbing a mountain.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is cold, then it is snowing. Mary is playing a game or it is cold. If Mary plays a game, then it is snowing. Can we infer the following from them? Answer yes or no: Joseph is a cashier.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If David reads a book, then it is raining. Elisabeth is sad or David is reading a book. If Elisabeth were sad, then it is raining. Can we infer the following from them? Answer yes or no: Linda is running.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Jessica plays tennis, then it is overcast. If Karen were a politician, then it is overcast. Karen is a politician or Jessica is playing tennis. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Jennifer were a scientist, then Joseph is driving a car. Jennifer is a scientist or Joseph is sad. If Joseph were sad, then Joseph is driving a car. Can we infer the following from them? Answer yes or no: Linda is drinking water.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it rains, then Charles is bored. It is raining or Karen is a soldier. If Karen were a soldier, then Charles is bored. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is sunny, then Susan is playing tennis. It is cloudy or it is sunny. If it is cloudy, then Susan is playing tennis. Can we infer the following from them? Answer yes or no: Thomas is writing a letter.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it snows, then Thomas is making tea. Karen is a soldier or it is snowing. If Karen were a soldier, then Thomas is making tea. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Richard were an artist, then Richard is cooking. William is working or Richard is an artist. If William works, then Richard is cooking. Can we infer the following from them? Answer yes or no: Mary is a sailor.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: David is running or Sarah is a scientist. If Sarah were a scientist, then John is bored. If David goes running, then John is bored. Can we infer the following from them? Answer yes or no: David is a server.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Barbara is poor or it is overcast. If Barbara were poor, then it is sunny. If it is overcast, then it is sunny. Can we infer the following from them? Answer yes or no: Joseph is a nurse.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Jessica plays squash, then Karen is a politician. Jessica is a lawyer or Jessica is playing squash. If Jessica were a lawyer, then Karen is a politician. Can we infer the following from them? Answer yes or no: Barbara is cooking.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Joseph is drinking water or it is overcast. If it is overcast, then it is late. If Joseph drinks water, then it is late. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Sarah is a bartender or Sarah is an office clerk. If Sarah were an office clerk, then it is overcast. If Sarah were a bartender, then it is overcast. Can we infer the following from them? Answer yes or no: Susan is listening to a song.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Elisabeth is making tea or Robert is a server. If Robert were a server, then it is windy. If Elisabeth makes tea, then it is windy. Can we infer the following from them? Answer yes or no: Richard is listening to a song.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it rains, then it is cold. If it is windy, then it is cold. It is windy or it is raining. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is cloudy, then Elisabeth is taking a plane. If Barbara were bored, then Elisabeth is taking a plane. It is cloudy or Barbara is bored. Can we infer the following from them? Answer yes or no: Mary is cooking.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If William were a writer, then James is a nurse. If it is sunny, then James is a nurse. It is sunny or William is a writer. Can we infer the following from them? Answer yes or no: Thomas is playing a game.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: It is overcast or John is an electrician. If it is overcast, then Sarah is a sailor. If John were an electrician, then Sarah is a sailor. Can we infer the following from them? Answer yes or no: Sarah is fast.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is cloudy, then Barbara is curious. If it is sunny, then Barbara is curious. It is sunny or it is cloudy. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Charles were a bartender, then Richard is running. Charles is a bartender or Charles is an office clerk. If Charles were an office clerk, then Richard is running. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If James climbs a mountain, then Jennifer is fast. James is climbing a mountain or Mary is a musician. If Mary were a musician, then Jennifer is fast. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Thomas is an office clerk or Charles is writing a letter. If Thomas were an office clerk, then Mary is a mechanic. If Charles writes a letter, then Mary is a mechanic. Can we infer the following from them? Answer yes or no: Karen is working.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Richard were poor, then Mary is sleeping. Richard is poor or James is a police officer. If James were a police officer, then Mary is sleeping. Can we infer the following from them? Answer yes or no: Sarah is an astronaut.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Thomas is an astronaut or it is cloudy. If Thomas were an astronaut, then Susan is driving a car. If it is cloudy, then Susan is driving a car. Can we infer the following from them? Answer yes or no: Jessica is playing squash.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Mary is running or Elisabeth is a sailor. If Elisabeth were a sailor, then Michael is an electrician. If Mary goes running, then Michael is an electrician. Can we infer the following from them? Answer yes or no: Linda is happy.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it rains, then Elisabeth is a politician. If Jennifer plays tennis, then Elisabeth is a politician. It is raining or Jennifer is playing tennis. Can we infer the following from them? Answer yes or no: Joseph is a sailor.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Linda is drinking water or it is cold. If it is cold, then Robert is playing a game. If Linda drinks water, then Robert is playing a game. Can we infer the following from them? Answer yes or no: David is working.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Robert were a sailor, then David is an office clerk. David is writing a letter or Robert is a sailor. If David writes a letter, then David is an office clerk. Can we infer the following from them? Answer yes or no: John is making tea.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Thomas climbs a mountain, then Elisabeth is fast. If Richard drinks water, then Elisabeth is fast. Richard is drinking water or Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: David is reading a book.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: It is windy or it is sunny. If it is windy, then it is cloudy. If it is sunny, then it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is reading a book.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Elisabeth is an artist or Susan is making tea. If Elisabeth were an artist, then Jennifer is rich. If Susan makes tea, then Jennifer is rich. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Linda drives a car, then James is a politician. If James plays tennis, then James is a politician. Linda is driving a car or James is playing tennis. Can we infer the following from them? Answer yes or no: Karen is sleeping.",no
propositional,inference,simplification,unrelated,Consider the following premises: Elisabeth is a soldier and Charles is playing squash. Can we infer the following from them? Answer yes or no: Michael is not running.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is raining and Linda is a cashier. Can we infer the following from them? Answer yes or no: Linda is a police officer.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is windy and James is sad. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is raining and it is cloudy. Can we infer the following from them? Answer yes or no: Patricia is a writer.,no
propositional,inference,simplification,unrelated,Consider the following premises: Susan is curious and Joseph is an electrician. Can we infer the following from them? Answer yes or no: Mary is poor.,no
propositional,inference,simplification,unrelated,Consider the following premises: Mary is reading a book and Karen is listening to a song. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,simplification,unrelated,Consider the following premises: Robert is a cashier and Mary is a scientist. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,simplification,unrelated,Consider the following premises: Robert is a soldier and James is a cashier. Can we infer the following from them? Answer yes or no: Elisabeth is not fast.,no
propositional,inference,simplification,unrelated,Consider the following premises: Charles is an artist and it is cloudy. Can we infer the following from them? Answer yes or no: Linda is a poet.,no
propositional,inference,simplification,unrelated,Consider the following premises: Elisabeth is fast and James is playing a game. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,simplification,unrelated,Consider the following premises: David is cooking and it is sunny. Can we infer the following from them? Answer yes or no: Susan is a poet.,no
propositional,inference,simplification,unrelated,Consider the following premises: Sarah is running and Barbara is writing a letter. Can we infer the following from them? Answer yes or no: Karen is driving a car.,no
propositional,inference,simplification,unrelated,Consider the following premises: Linda is a police officer and it is late. Can we infer the following from them? Answer yes or no: Elisabeth is not fast.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is late and it is cloudy. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,simplification,unrelated,Consider the following premises: Karen is taking a plane and Patricia is a scientist. Can we infer the following from them? Answer yes or no: Patricia is sad.,no
propositional,inference,simplification,unrelated,Consider the following premises: Linda is making tea and Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Patricia is cooking.,no
propositional,inference,simplification,unrelated,Consider the following premises: David is playing squash and it is windy. Can we infer the following from them? Answer yes or no: William is not playing a game.,no
propositional,inference,simplification,unrelated,Consider the following premises: Linda is an electrician and it is raining. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is overcast and it is sunny. Can we infer the following from them? Answer yes or no: Thomas is driving a car.,no
propositional,inference,simplification,unrelated,Consider the following premises: Karen is a server and Joseph is a carpenter. Can we infer the following from them? Answer yes or no: Joseph is playing a game.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is raining and John is writing a letter. Can we infer the following from them? Answer yes or no: Linda is a carpenter.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is cold and it is late. Can we infer the following from them? Answer yes or no: Jennifer is a lawyer.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is cold and it is snowing. Can we infer the following from them? Answer yes or no: David is playing tennis.,no
propositional,inference,simplification,unrelated,Consider the following premises: David is working and Joseph is sleeping. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,simplification,unrelated,Consider the following premises: Barbara is a bartender and it is windy. Can we infer the following from them? Answer yes or no: Charles is listening to a song.,no
propositional,inference,simplification,unrelated,Consider the following premises: Patricia is a doctor and Mary is reading a book. Can we infer the following from them? Answer yes or no: Richard is listening to a song.,no
propositional,inference,simplification,unrelated,Consider the following premises: Patricia is reading a book and it is sunny. Can we infer the following from them? Answer yes or no: Karen is not rich.,no
propositional,inference,simplification,unrelated,Consider the following premises: Sarah is playing squash and James is writing a letter. Can we infer the following from them? Answer yes or no: William is playing tennis.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is raining and it is overcast. Can we infer the following from them? Answer yes or no: William is not a carpenter.,no
propositional,inference,simplification,unrelated,Consider the following premises: William is happy and it is overcast. Can we infer the following from them? Answer yes or no: Jessica is not reading a book.,no
propositional,inference,simplification,unrelated,Consider the following premises: David is a police officer and it is raining. Can we infer the following from them? Answer yes or no: Thomas is not making tea.,no
propositional,inference,simplification,unrelated,Consider the following premises: William is a writer and William is playing squash. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,simplification,unrelated,Consider the following premises: Barbara is excited and Sarah is playing squash. Can we infer the following from them? Answer yes or no: Sarah is not making tea.,no
propositional,inference,simplification,unrelated,Consider the following premises: Charles is a nurse and Michael is listening to a song. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,simplification,unrelated,Consider the following premises: Jessica is playing a game and Patricia is playing tennis. Can we infer the following from them? Answer yes or no: Robert is not a server.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is windy and it is cold. Can we infer the following from them? Answer yes or no: Richard is not a mechanic.,no
propositional,inference,simplification,unrelated,Consider the following premises: Michael is writing a letter and Joseph is working. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,simplification,unrelated,Consider the following premises: Karen is an electrician and Jessica is taking a plane. Can we infer the following from them? Answer yes or no: Barbara is a writer.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is sunny and Richard is excited. Can we infer the following from them? Answer yes or no: Mary is happy.,no
propositional,inference,simplification,unrelated,Consider the following premises: Mary is a bartender and it is windy. Can we infer the following from them? Answer yes or no: Jessica is not a writer.,no
propositional,inference,simplification,unrelated,Consider the following premises: Joseph is a mechanic and William is playing tennis. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is overcast and John is reading a book. Can we infer the following from them? Answer yes or no: Linda is playing squash.,no
propositional,inference,simplification,unrelated,Consider the following premises: John is a server and James is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is a cashier.,no
propositional,inference,simplification,unrelated,Consider the following premises: Jennifer is happy and Jessica is playing tennis. Can we infer the following from them? Answer yes or no: Charles is writing a letter.,no
propositional,inference,simplification,unrelated,Consider the following premises: Karen is writing a letter and Mary is listening to a song. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,simplification,unrelated,Consider the following premises: It is cloudy and Richard is rich. Can we infer the following from them? Answer yes or no: Jennifer is a server.,no
propositional,inference,simplification,unrelated,Consider the following premises: Jessica is climbing a mountain and Susan is poor. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,inference,simplification,unrelated,Consider the following premises: Richard is an office clerk and Thomas is making tea. Can we infer the following from them? Answer yes or no: James is writing a letter.,no
propositional,inference,simplification,unrelated,Consider the following premises: Barbara is a carpenter and it is raining. Can we infer the following from them? Answer yes or no: Sarah is bored.,no
propositional,inference,simplification,unrelated,Consider the following premises: Michael is a writer and Charles is playing a game. Can we infer the following from them? Answer yes or no: Robert is a taxi driver.,no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is windy, then David is listening to a song. If John writes a letter, then it is windy. Can we infer the following from them? Answer yes or no: David is listening to a song.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cloudy, then Linda is drinking water. If Patricia plays a game, then it is cloudy. Can we infer the following from them? Answer yes or no: Linda is drinking water.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Joseph were a poet, then Linda is fast. If Linda were fast, then Mary is making tea. Can we infer the following from them? Answer yes or no: Linda is fast.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If William were a doctor, then it is cloudy. If Susan were a politician, then William is a doctor. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is sunny, then it is snowing. If it snows, then Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is sunny, then John is a musician. If John were a musician, then Linda is playing tennis. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is windy, then it is cold. If it is cold, then Charles is playing squash. Can we infer the following from them? Answer yes or no: Charles is playing squash.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Elisabeth were excited, then Richard is playing squash. If Richard plays squash, then Linda is drinking water. Can we infer the following from them? Answer yes or no: Richard is playing squash.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Joseph were an artist, then it is late. If it is late, then Michael is working. Can we infer the following from them? Answer yes or no: Joseph is an artist.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cloudy, then it is snowing. If Karen were a nurse, then it is cloudy. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Thomas writes a letter, then Patricia is a politician. If Patricia were a politician, then Barbara is a nurse. Can we infer the following from them? Answer yes or no: Thomas is writing a letter.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it snows, then Joseph is sad. If Richard drinks water, then it is snowing. Can we infer the following from them? Answer yes or no: Joseph is sad.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Sarah were rich, then it is cloudy. If it is cloudy, then Linda is fast. Can we infer the following from them? Answer yes or no: Linda is fast.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Linda were an office clerk, then it is overcast. If it is overcast, then Patricia is happy. Can we infer the following from them? Answer yes or no: Patricia is happy.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Thomas works, then it is cloudy. If Karen writes a letter, then Thomas is working. Can we infer the following from them? Answer yes or no: Karen is writing a letter.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Robert were curious, then David is a writer. If David were a writer, then Michael is fast. Can we infer the following from them? Answer yes or no: Michael is fast.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If William were an astronaut, then Linda is a lawyer. If it is windy, then William is an astronaut. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Jessica drinks water, then Thomas is a lawyer. If Thomas were a lawyer, then Mary is a sailor. Can we infer the following from them? Answer yes or no: Jessica is drinking water.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If David were sad, then Joseph is a writer. If Joseph were a writer, then it is sunny. Can we infer the following from them? Answer yes or no: David is sad.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Barbara climbs a mountain, then it is windy. If it is windy, then Mary is curious. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cold, then Sarah is playing squash. If Sarah plays squash, then it is windy. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Richard were an office clerk, then Jennifer is drinking water. If Charles plays tennis, then Richard is an office clerk. Can we infer the following from them? Answer yes or no: Charles is playing tennis.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Elisabeth plays tennis, then John is fast. If John were fast, then William is bored. Can we infer the following from them? Answer yes or no: Elisabeth is playing tennis.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Jennifer were curious, then it is cold. If it is cold, then Charles is an astronaut. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Sarah plays squash, then Linda is a soldier. If Linda were a soldier, then Sarah is a mechanic. Can we infer the following from them? Answer yes or no: Sarah is a mechanic.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If John were a nurse, then Robert is taking a plane. If Michael were a sailor, then John is a nurse. Can we infer the following from them? Answer yes or no: Robert is taking a plane.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If John were a janitor, then Charles is a bartender. If Charles were a bartender, then Robert is a doctor. Can we infer the following from them? Answer yes or no: John is a janitor.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If John were a writer, then Richard is playing squash. If it is cloudy, then John is a writer. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Charles listens to a song, then Patricia is climbing a mountain. If Charles goes running, then Charles is listening to a song. Can we infer the following from them? Answer yes or no: Patricia is climbing a mountain.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Mary makes tea, then Michael is a carpenter. If Michael were a carpenter, then Joseph is a cashier. Can we infer the following from them? Answer yes or no: Mary is making tea.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If James were a sailor, then it is sunny. If David listens to a song, then James is a sailor. Can we infer the following from them? Answer yes or no: David is listening to a song.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Barbara listens to a song, then it is raining. If it rains, then it is late. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Michael makes tea, then Joseph is a lawyer. If Joseph were a lawyer, then it is sunny. Can we infer the following from them? Answer yes or no: Joseph is a lawyer.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Sarah listens to a song, then it is cloudy. If it is cloudy, then Susan is a sailor. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cold, then Charles is cooking. If Karen makes tea, then it is cold. Can we infer the following from them? Answer yes or no: Charles is cooking.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If John reads a book, then Richard is playing squash. If Richard plays squash, then Sarah is driving a car. Can we infer the following from them? Answer yes or no: John is reading a book.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Jessica were a bartender, then it is late. If Michael drives a car, then Jessica is a bartender. Can we infer the following from them? Answer yes or no: Jessica is a bartender.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Elisabeth cooks, then Joseph is driving a car. If James were a nurse, then Elisabeth is cooking. Can we infer the following from them? Answer yes or no: Elisabeth is cooking.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it rains, then Sarah is an office clerk. If Jessica takes a plane, then it is raining. Can we infer the following from them? Answer yes or no: Sarah is an office clerk.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is sunny, then it is snowing. If it snows, then Michael is sleeping. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If James works, then Jessica is a taxi driver. If it is sunny, then James is working. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Sarah were bored, then John is working. If Karen were a taxi driver, then Sarah is bored. Can we infer the following from them? Answer yes or no: Karen is a taxi driver.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it snows, then Michael is a mechanic. If it is late, then it is snowing. Can we infer the following from them? Answer yes or no: Michael is a mechanic.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cold, then it is windy. If it is windy, then Thomas is drinking water. Can we infer the following from them? Answer yes or no: Thomas is drinking water.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If it is late, then William is writing a letter. If it is cloudy, then it is late. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Barbara were a soldier, then Sarah is a server. If Sarah were a server, then it is sunny. Can we infer the following from them? Answer yes or no: Barbara is a soldier.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Elisabeth were an office clerk, then Jennifer is fast. If it snows, then Elisabeth is an office clerk. Can we infer the following from them? Answer yes or no: Elisabeth is an office clerk.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Jennifer works, then it is raining. If John makes tea, then Jennifer is working. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If Michael were an electrician, then Sarah is an astronaut. If Karen were a cashier, then Michael is an electrician. Can we infer the following from them? Answer yes or no: Sarah is an astronaut.",no
propositional,inference,transitivity,unrelated,"Consider the following premises: If William were a soldier, then Mary is working. If Mary works, then Robert is a server. Can we infer the following from them? Answer yes or no: William is a soldier.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Michael climbs a mountain, then James is a taxi driver. Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is an astronaut.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then it is snowing. It is late. Can we infer the following from them? Answer yes or no: Susan is not an artist.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Patricia were a carpenter, then Jessica is a writer. Patricia is a carpenter. Can we infer the following from them? Answer yes or no: Sarah is not bored.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Patricia is a poet. If Patricia were a poet, then it is cloudy. Can we infer the following from them? Answer yes or no: Elisabeth is not sad.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Jennifer is bored. If Jennifer were bored, then it is snowing. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Susan is a writer. If Susan were a writer, then Karen is poor. Can we infer the following from them? Answer yes or no: Jennifer is not playing squash.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is late. If it is late, then it is sunny. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Sarah is climbing a mountain. If Sarah climbs a mountain, then Sarah is a sailor. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is windy. If it is windy, then it is late. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Jessica is happy. If Jessica were happy, then it is cloudy. Can we infer the following from them? Answer yes or no: Elisabeth is not a soldier.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Jennifer makes tea, then Joseph is fast. Jennifer is making tea. Can we infer the following from them? Answer yes or no: Linda is drinking water.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Karen plays tennis, then it is snowing. Karen is playing tennis. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is overcast. If it is overcast, then Thomas is drinking water. Can we infer the following from them? Answer yes or no: Michael is not an astronaut.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Sarah were a lawyer, then Robert is sad. Sarah is a lawyer. Can we infer the following from them? Answer yes or no: Karen is cooking.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Joseph plays a game, then Barbara is writing a letter. Joseph is playing a game. Can we infer the following from them? Answer yes or no: Susan is not running.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cold. If it is cold, then Patricia is playing tennis. Can we infer the following from them? Answer yes or no: It is not raining.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: David is working. If David works, then James is playing tennis. Can we infer the following from them? Answer yes or no: David is not an astronaut.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Michael cooks, then it is cloudy. Michael is cooking. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then Robert is working. It is late. Can we infer the following from them? Answer yes or no: Mary is a janitor.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Charles is reading a book. If Charles reads a book, then it is raining. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Linda goes running, then Richard is driving a car. Linda is running. Can we infer the following from them? Answer yes or no: Jessica is an electrician.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then Linda is climbing a mountain. It is late. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If James drinks water, then it is sunny. James is drinking water. Can we infer the following from them? Answer yes or no: James is not climbing a mountain.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Linda were a poet, then Susan is playing squash. Linda is a poet. Can we infer the following from them? Answer yes or no: Jennifer is not writing a letter.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is cloudy, then it is cold. It is cloudy. Can we infer the following from them? Answer yes or no: Elisabeth is poor.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Charles drinks water, then Michael is driving a car. Charles is drinking water. Can we infer the following from them? Answer yes or no: Sarah is a mechanic.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is snowing. If it snows, then Thomas is bored. Can we infer the following from them? Answer yes or no: William is a taxi driver.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is snowing. If it snows, then it is cold. Can we infer the following from them? Answer yes or no: James is working.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Linda works, then it is overcast. Linda is working. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Mary were a cashier, then Barbara is a server. Mary is a cashier. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is cloudy, then Sarah is sad. It is cloudy. Can we infer the following from them? Answer yes or no: Patricia is not drinking water.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is cloudy, then Mary is a server. It is cloudy. Can we infer the following from them? Answer yes or no: Richard is not drinking water.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is sunny. If it is sunny, then Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is not driving a car.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is sunny, then Patricia is bored. It is sunny. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Charles is playing squash. If Charles plays squash, then it is late. Can we infer the following from them? Answer yes or no: Mary is not reading a book.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it rains, then it is snowing. It is raining. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cold. If it is cold, then it is raining. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then William is writing a letter. It is late. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cloudy. If it is cloudy, then Sarah is a carpenter. Can we infer the following from them? Answer yes or no: John is reading a book.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Jennifer were a doctor, then it is snowing. Jennifer is a doctor. Can we infer the following from them? Answer yes or no: Mary is playing squash.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: William is running. If William goes running, then it is snowing. Can we infer the following from them? Answer yes or no: John is working.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is cloudy, then it is sunny. It is cloudy. Can we infer the following from them? Answer yes or no: William is sleeping.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Robert is a soldier. If Robert were a soldier, then James is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Karen drives a car, then it is overcast. Karen is driving a car. Can we infer the following from them? Answer yes or no: Barbara is not a server.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If James plays tennis, then Elisabeth is playing squash. James is playing tennis. Can we infer the following from them? Answer yes or no: Michael is drinking water.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: Jennifer is working. If Jennifer works, then it is windy. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is snowing. If it snows, then Linda is a cashier. Can we infer the following from them? Answer yes or no: David is climbing a mountain.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If it rains, then it is sunny. It is raining. Can we infer the following from them? Answer yes or no: Elisabeth is playing squash.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cloudy. If it is cloudy, then it is snowing. Can we infer the following from them? Answer yes or no: Joseph is taking a plane.",no
propositional,inference,modus ponens,unrelated,"Consider the following premises: If Patricia listens to a song, then it is raining. Patricia is listening to a song. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Jessica is not an astronaut. Jessica is an astronaut or it is raining. Can we infer the following from them? Answer yes or no: Jessica is not a doctor.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Thomas is not an astronaut. Thomas is an astronaut or David is happy. Can we infer the following from them? Answer yes or no: William is not writing a letter.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Mary is writing a letter or Thomas is drinking water. Mary is not writing a letter. Can we infer the following from them? Answer yes or no: William is a nurse.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Richard is not making tea. Richard is making tea or Richard is climbing a mountain. Can we infer the following from them? Answer yes or no: Michael is a soldier.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Richard is a nurse or Karen is sleeping. Richard is not a nurse. Can we infer the following from them? Answer yes or no: Charles is drinking water.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Robert is a musician or it is cloudy. Robert is not a musician. Can we infer the following from them? Answer yes or no: James is not cooking.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is cloudy or Charles is playing a game. It is not cloudy. Can we infer the following from them? Answer yes or no: Michael is a janitor.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Patricia is a mechanic or James is a carpenter. Patricia is not a mechanic. Can we infer the following from them? Answer yes or no: Joseph is not playing a game.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not cold. It is cold or Charles is a poet. Can we infer the following from them? Answer yes or no: Jennifer is a carpenter.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: William is not writing a letter. William is writing a letter or Elisabeth is making tea. Can we infer the following from them? Answer yes or no: John is cooking.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Linda is playing squash or it is overcast. Linda is not playing squash. Can we infer the following from them? Answer yes or no: Karen is not reading a book.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not overcast. It is overcast or Elisabeth is a server. Can we infer the following from them? Answer yes or no: It is not windy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Michael is climbing a mountain or Jennifer is a carpenter. Michael is not climbing a mountain. Can we infer the following from them? Answer yes or no: Charles is not taking a plane.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not cloudy. It is cloudy or it is cold. Can we infer the following from them? Answer yes or no: Sarah is not working.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Richard is drinking water or Michael is driving a car. Richard is not drinking water. Can we infer the following from them? Answer yes or no: John is poor.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: James is not a taxi driver. James is a taxi driver or it is snowing. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Barbara is playing tennis or it is windy. Barbara is not playing tennis. Can we infer the following from them? Answer yes or no: Jessica is a politician.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Barbara is a carpenter or David is sleeping. Barbara is not a carpenter. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Jessica is a police officer or it is snowing. Jessica is not a police officer. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Joseph is not an electrician. Joseph is an electrician or Linda is a carpenter. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is windy or it is snowing. It is not windy. Can we infer the following from them? Answer yes or no: Thomas is making tea.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Karen is a lawyer or it is overcast. Karen is not a lawyer. Can we infer the following from them? Answer yes or no: Patricia is not a server.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Jessica is not a politician. Jessica is a politician or Linda is an astronaut. Can we infer the following from them? Answer yes or no: Mary is excited.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Charles is not sad. Charles is sad or Charles is listening to a song. Can we infer the following from them? Answer yes or no: Sarah is taking a plane.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: William is not drinking water. William is drinking water or it is cold. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Sarah is not working. Sarah is working or David is curious. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not cloudy. It is cloudy or John is an office clerk. Can we infer the following from them? Answer yes or no: John is not a poet.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Charles is writing a letter or Susan is taking a plane. Charles is not writing a letter. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Michael is not a writer. Michael is a writer or James is a police officer. Can we infer the following from them? Answer yes or no: Michael is not reading a book.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Joseph is driving a car or it is windy. Joseph is not driving a car. Can we infer the following from them? Answer yes or no: Karen is not working.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not sunny. It is sunny or Barbara is a nurse. Can we infer the following from them? Answer yes or no: Mary is curious.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: William is not making tea. William is making tea or Susan is listening to a song. Can we infer the following from them? Answer yes or no: Jennifer is not a musician.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is windy or John is a cashier. It is not windy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: William is playing tennis or it is overcast. William is not playing tennis. Can we infer the following from them? Answer yes or no: Susan is not taking a plane.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Robert is running or Susan is reading a book. Robert is not running. Can we infer the following from them? Answer yes or no: Karen is curious.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is windy or Karen is driving a car. It is not windy. Can we infer the following from them? Answer yes or no: David is not a cashier.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Susan is working or Patricia is writing a letter. Susan is not working. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Charles is not an office clerk. Charles is an office clerk or Michael is a lawyer. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Sarah is not a writer. Sarah is a writer or Sarah is an astronaut. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Barbara is not working. Barbara is working or Joseph is playing tennis. Can we infer the following from them? Answer yes or no: Sarah is playing a game.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Thomas is not playing a game. Thomas is playing a game or Thomas is a musician. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Robert is climbing a mountain or Sarah is a cashier. Robert is not climbing a mountain. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not windy. It is windy or Thomas is cooking. Can we infer the following from them? Answer yes or no: Charles is not sleeping.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is snowing or it is cold. It is not snowing. Can we infer the following from them? Answer yes or no: Joseph is an artist.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: John is not happy. John is happy or Patricia is working. Can we infer the following from them? Answer yes or no: Michael is an astronaut.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Mary is poor or Charles is an astronaut. Mary is not poor. Can we infer the following from them? Answer yes or no: Thomas is not a poet.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Linda is not playing squash. Linda is playing squash or David is sad. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Charles is not excited. Charles is excited or John is sleeping. Can we infer the following from them? Answer yes or no: David is playing a game.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: David is an artist or David is writing a letter. David is not an artist. Can we infer the following from them? Answer yes or no: Linda is not a soldier.,no
propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Jennifer is not happy. Jennifer is happy or Thomas is listening to a song. Can we infer the following from them? Answer yes or no: Richard is playing a game.,no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Linda plays squash, then Susan is reading a book. If Susan reads a book, then Linda is playing squash. Can we infer the following from them? Answer yes or no: Linda is playing squash.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is overcast, then it is cold. If it is cold, then it is overcast. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If William sleeps, then it is sunny. If it is sunny, then William is sleeping. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If James climbs a mountain, then it is snowing. If it snows, then James is climbing a mountain. Can we infer the following from them? Answer yes or no: James is climbing a mountain.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Barbara writes a letter, then Charles is taking a plane. If Charles takes a plane, then Barbara is writing a letter. Can we infer the following from them? Answer yes or no: Barbara is writing a letter.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Susan cooks, then it is sunny. If it is sunny, then Susan is cooking. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If William drives a car, then Sarah is rich. If Sarah were rich, then William is driving a car. Can we infer the following from them? Answer yes or no: William is driving a car.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Patricia works, then Barbara is a politician. If Barbara were a politician, then Patricia is working. Can we infer the following from them? Answer yes or no: Barbara is a politician.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Richard were a soldier, then Joseph is a writer. If Joseph were a writer, then Richard is a soldier. Can we infer the following from them? Answer yes or no: Richard is a soldier.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Richard were a politician, then Sarah is driving a car. If Sarah drives a car, then Richard is a politician. Can we infer the following from them? Answer yes or no: Sarah is driving a car.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Jessica sleeps, then Susan is a janitor. If Susan were a janitor, then Jessica is sleeping. Can we infer the following from them? Answer yes or no: Jessica is sleeping.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If David writes a letter, then it is snowing. If it snows, then David is writing a letter. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Jennifer were a scientist, then Thomas is a musician. If Thomas were a musician, then Jennifer is a scientist. Can we infer the following from them? Answer yes or no: Thomas is a musician.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is late, then Elisabeth is rich. If Elisabeth were rich, then it is late. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Richard were excited, then Susan is a mechanic. If Susan were a mechanic, then Richard is excited. Can we infer the following from them? Answer yes or no: Richard is excited.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is windy, then Thomas is an electrician. If Thomas were an electrician, then it is windy. Can we infer the following from them? Answer yes or no: Thomas is an electrician.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it snows, then it is overcast. If it is overcast, then it is snowing. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Linda were a writer, then Richard is climbing a mountain. If Richard climbs a mountain, then Linda is a writer. Can we infer the following from them? Answer yes or no: Linda is a writer.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Patricia were a soldier, then Charles is climbing a mountain. If Charles climbs a mountain, then Patricia is a soldier. Can we infer the following from them? Answer yes or no: Patricia is a soldier.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If John were sad, then Susan is taking a plane. If Susan takes a plane, then John is sad. Can we infer the following from them? Answer yes or no: Susan is taking a plane.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it snows, then it is raining. If it rains, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If William listens to a song, then it is cloudy. If it is cloudy, then William is listening to a song. Can we infer the following from them? Answer yes or no: William is listening to a song.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is cold, then Robert is playing a game. If Robert plays a game, then it is cold. Can we infer the following from them? Answer yes or no: Robert is playing a game.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Linda plays squash, then Linda is a mechanic. If Linda were a mechanic, then Linda is playing squash. Can we infer the following from them? Answer yes or no: Linda is playing squash.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Charles were a police officer, then Linda is running. If Linda goes running, then Charles is a police officer. Can we infer the following from them? Answer yes or no: Charles is a police officer.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If William were a server, then it is raining. If it rains, then William is a server. Can we infer the following from them? Answer yes or no: William is a server.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Mary were an office clerk, then Charles is working. If Charles works, then Mary is an office clerk. Can we infer the following from them? Answer yes or no: Charles is working.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Barbara were a janitor, then Jennifer is drinking water. If Jennifer drinks water, then Barbara is a janitor. Can we infer the following from them? Answer yes or no: Barbara is a janitor.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it snows, then Joseph is working. If Joseph works, then it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If James were a police officer, then Patricia is a server. If Patricia were a server, then James is a police officer. Can we infer the following from them? Answer yes or no: James is a police officer.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Barbara plays tennis, then it is raining. If it rains, then Barbara is playing tennis. Can we infer the following from them? Answer yes or no: Barbara is playing tennis.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is cloudy, then it is snowing. If it snows, then it is cloudy. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Robert makes tea, then Barbara is playing tennis. If Barbara plays tennis, then Robert is making tea. Can we infer the following from them? Answer yes or no: Barbara is playing tennis.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If David drinks water, then Barbara is a poet. If Barbara were a poet, then David is drinking water. Can we infer the following from them? Answer yes or no: David is drinking water.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Robert drinks water, then Elisabeth is an electrician. If Elisabeth were an electrician, then Robert is drinking water. Can we infer the following from them? Answer yes or no: Robert is drinking water.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Michael were a taxi driver, then Sarah is a writer. If Sarah were a writer, then Michael is a taxi driver. Can we infer the following from them? Answer yes or no: Michael is a taxi driver.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it rains, then Richard is a cashier. If Richard were a cashier, then it is raining. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Patricia listens to a song, then it is sunny. If it is sunny, then Patricia is listening to a song. Can we infer the following from them? Answer yes or no: Patricia is listening to a song.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If John climbs a mountain, then it is late. If it is late, then John is climbing a mountain. Can we infer the following from them? Answer yes or no: John is climbing a mountain.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Joseph were fast, then Karen is drinking water. If Karen drinks water, then Joseph is fast. Can we infer the following from them? Answer yes or no: Karen is drinking water.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Michael were a sailor, then it is cold. If it is cold, then Michael is a sailor. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Jessica writes a letter, then Michael is an astronaut. If Michael were an astronaut, then Jessica is writing a letter. Can we infer the following from them? Answer yes or no: Michael is an astronaut.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Elisabeth were a doctor, then Charles is playing tennis. If Charles plays tennis, then Elisabeth is a doctor. Can we infer the following from them? Answer yes or no: Charles is playing tennis.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is windy, then it is raining. If it rains, then it is windy. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Elisabeth were a soldier, then David is a police officer. If David were a police officer, then Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: Elisabeth is a soldier.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If David were a musician, then it is overcast. If it is overcast, then David is a musician. Can we infer the following from them? Answer yes or no: David is a musician.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is windy, then Michael is rich. If Michael were rich, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is late, then it is windy. If it is windy, then it is late. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it rains, then David is drinking water. If David drinks water, then it is raining. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Patricia were a writer, then Thomas is poor. If Thomas were poor, then Patricia is a writer. Can we infer the following from them? Answer yes or no: Patricia is a writer.",no
propositional,inference,addition,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: Robert is running.,no
propositional,inference,addition,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,addition,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is not listening to a song.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,addition,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Barbara is not a carpenter.,no
propositional,inference,addition,unrelated,Consider the following premises: Michael is rich. Can we infer the following from them? Answer yes or no: Susan is a soldier.,no
propositional,inference,addition,unrelated,Consider the following premises: Michael is playing squash. Can we infer the following from them? Answer yes or no: John is a carpenter.,no
propositional,inference,addition,unrelated,Consider the following premises: John is a bartender. Can we infer the following from them? Answer yes or no: Patricia is not reading a book.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: Susan is not an artist.,no
propositional,inference,addition,unrelated,Consider the following premises: Mary is a doctor. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,unrelated,Consider the following premises: Sarah is a sailor. Can we infer the following from them? Answer yes or no: John is not running.,no
propositional,inference,addition,unrelated,Consider the following premises: Michael is a lawyer. Can we infer the following from them? Answer yes or no: William is not climbing a mountain.,no
propositional,inference,addition,unrelated,Consider the following premises: Jennifer is a sailor. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,addition,unrelated,Consider the following premises: Joseph is a server. Can we infer the following from them? Answer yes or no: Richard is playing a game.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,inference,addition,unrelated,Consider the following premises: Jessica is a taxi driver. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,inference,addition,unrelated,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,addition,unrelated,Consider the following premises: Linda is working. Can we infer the following from them? Answer yes or no: Sarah is not sad.,no
propositional,inference,addition,unrelated,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,addition,unrelated,Consider the following premises: William is poor. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,addition,unrelated,Consider the following premises: Robert is playing squash. Can we infer the following from them? Answer yes or no: Jessica is not a scientist.,no
propositional,inference,addition,unrelated,Consider the following premises: Linda is a cashier. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,no
propositional,inference,addition,unrelated,Consider the following premises: Sarah is an office clerk. Can we infer the following from them? Answer yes or no: Charles is drinking water.,no
propositional,inference,addition,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,addition,unrelated,Consider the following premises: Jennifer is a sailor. Can we infer the following from them? Answer yes or no: William is not a lawyer.,no
propositional,inference,addition,unrelated,Consider the following premises: It is overcast. Can we infer the following from them? Answer yes or no: Joseph is an artist.,no
propositional,inference,addition,unrelated,Consider the following premises: Karen is running. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,inference,addition,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: Jennifer is not writing a letter.,no
propositional,inference,addition,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Linda is a lawyer.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: Thomas is not a poet.,no
propositional,inference,addition,unrelated,Consider the following premises: Sarah is an electrician. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,addition,unrelated,Consider the following premises: Susan is a nurse. Can we infer the following from them? Answer yes or no: James is not an artist.,no
propositional,inference,addition,unrelated,Consider the following premises: Michael is reading a book. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,addition,unrelated,Consider the following premises: Mary is writing a letter. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.,no
propositional,inference,addition,unrelated,Consider the following premises: Linda is a soldier. Can we infer the following from them? Answer yes or no: Robert is an electrician.,no
propositional,inference,addition,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: Linda is a janitor.,no
propositional,inference,addition,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: Patricia is excited.,no
propositional,inference,addition,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,addition,unrelated,Consider the following premises: William is taking a plane. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,addition,unrelated,Consider the following premises: Sarah is a scientist. Can we infer the following from them? Answer yes or no: Robert is a sailor.,no
propositional,inference,addition,unrelated,Consider the following premises: Thomas is taking a plane. Can we infer the following from them? Answer yes or no: Elisabeth is an office clerk.,no
propositional,inference,addition,unrelated,Consider the following premises: Elisabeth is making tea. Can we infer the following from them? Answer yes or no: Michael is not working.,no
propositional,inference,addition,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Joseph is a carpenter.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: Mary is writing a letter.,no
propositional,inference,addition,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,addition,unrelated,Consider the following premises: Linda is a cashier. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,addition,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,addition,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: Susan is not listening to a song.,no
propositional,inference,addition,unrelated,Consider the following premises: Karen is listening to a song. Can we infer the following from them? Answer yes or no: Richard is working.,no
propositional,inference,addition,unrelated,Consider the following premises: William is a janitor. Can we infer the following from them? Answer yes or no: William is a taxi driver.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not cloudy. It is cloudy if and only if Karen is writing a letter. Can we infer the following from them? Answer yes or no: Jennifer is running.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is overcast if and only if Joseph is sleeping. Joseph is not sleeping. Can we infer the following from them? Answer yes or no: William is a carpenter.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: John is an astronaut if and only if James is poor. Can we infer the following from them? Answer yes or no: Charles is not a musician.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is sleeping if and only if John is poor. Can we infer the following from them? Answer yes or no: Joseph is not a soldier.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Robert is not playing squash. Mary is excited if and only if Robert is playing squash. Can we infer the following from them? Answer yes or no: Jessica is a politician.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Linda is not playing a game. John is cooking if and only if Linda is playing a game. Can we infer the following from them? Answer yes or no: Karen is reading a book.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Joseph is a taxi driver if and only if Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Jessica is bored if and only if it is late. Jessica is not bored. Can we infer the following from them? Answer yes or no: Thomas is driving a car.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Michael is sleeping if and only if it is overcast. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: William is not working. Michael is listening to a song if and only if William is working. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Patricia is a carpenter if and only if it is windy. Can we infer the following from them? Answer yes or no: Charles is a scientist.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is happy if and only if Robert is drinking water. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is cold if and only if Mary is a soldier. Can we infer the following from them? Answer yes or no: Patricia is not playing tennis.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: David is excited if and only if William is listening to a song. David is not excited. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Sarah is playing a game if and only if it is late. Can we infer the following from them? Answer yes or no: Mary is not working.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: David is not a politician. David is a politician if and only if William is fast. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is sunny if and only if Joseph is climbing a mountain. Can we infer the following from them? Answer yes or no: Sarah is not a taxi driver.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Elisabeth is bored if and only if it is overcast. Elisabeth is not bored. Can we infer the following from them? Answer yes or no: Mary is not drinking water.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Mary is a nurse if and only if Karen is playing tennis. Can we infer the following from them? Answer yes or no: Patricia is a mechanic.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not sunny. It is sunny if and only if John is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is working.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Sarah is excited if and only if Jessica is driving a car. Can we infer the following from them? Answer yes or no: Linda is making tea.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is a police officer if and only if John is an office clerk. James is not a police officer. Can we infer the following from them? Answer yes or no: James is a taxi driver.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: William is a soldier if and only if it is raining. Can we infer the following from them? Answer yes or no: Robert is a writer.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: John is taking a plane if and only if Robert is writing a letter. Robert is not writing a letter. Can we infer the following from them? Answer yes or no: Sarah is a sailor.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is happy if and only if it is cold. Can we infer the following from them? Answer yes or no: Barbara is not sleeping.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Sarah is writing a letter if and only if it is windy. Can we infer the following from them? Answer yes or no: Charles is cooking.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not cold. Barbara is excited if and only if it is cold. Can we infer the following from them? Answer yes or no: It is not sunny.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: William is playing tennis if and only if Jessica is happy. William is not playing tennis. Can we infer the following from them? Answer yes or no: Joseph is sleeping.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not sunny. Elisabeth is taking a plane if and only if it is sunny. Can we infer the following from them? Answer yes or no: Susan is not a taxi driver.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not overcast. It is sunny if and only if it is overcast. Can we infer the following from them? Answer yes or no: John is driving a car.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Robert is making tea if and only if it is raining. Robert is not making tea. Can we infer the following from them? Answer yes or no: It is not cloudy.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is sunny if and only if Patricia is an artist. It is not sunny. Can we infer the following from them? Answer yes or no: Jessica is not a police officer.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is making tea if and only if Sarah is a musician. Can we infer the following from them? Answer yes or no: William is not sleeping.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is a server if and only if it is late. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Charles is not a scientist. Charles is a scientist if and only if David is a carpenter. Can we infer the following from them? Answer yes or no: Elisabeth is not a writer.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Richard is poor if and only if it is overcast. Richard is not poor. Can we infer the following from them? Answer yes or no: David is cooking.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Richard is not a bartender. Richard is a bartender if and only if Jennifer is sleeping. Can we infer the following from them? Answer yes or no: It is not overcast.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Mary is cooking if and only if Jessica is an artist. Jessica is not an artist. Can we infer the following from them? Answer yes or no: Patricia is not bored.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Elisabeth is taking a plane if and only if it is cloudy. Can we infer the following from them? Answer yes or no: Patricia is reading a book.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not sunny. Jennifer is playing a game if and only if it is sunny. Can we infer the following from them? Answer yes or no: Jennifer is an office clerk.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Thomas is playing tennis if and only if Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not snowing.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Jennifer is not a mechanic. Jennifer is a mechanic if and only if it is snowing. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Elisabeth is cooking if and only if it is overcast. Elisabeth is not cooking. Can we infer the following from them? Answer yes or no: It is not cold.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is windy if and only if it is late. Can we infer the following from them? Answer yes or no: Elisabeth is not a soldier.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Richard is not taking a plane. Richard is taking a plane if and only if it is overcast. Can we infer the following from them? Answer yes or no: Mary is playing squash.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is cold if and only if it is snowing. It is not cold. Can we infer the following from them? Answer yes or no: John is taking a plane.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: John is not a police officer. It is sunny if and only if John is a police officer. Can we infer the following from them? Answer yes or no: Karen is not a politician.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Robert is playing squash if and only if it is snowing. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is snowing if and only if it is windy. Can we infer the following from them? Answer yes or no: It is not late.,no
propositional,inference,biconditional elimination,unrelated,Consider the following premises: Charles is making tea if and only if Susan is excited. Can we infer the following from them? Answer yes or no: Jennifer is a soldier.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not snowing or Barbara is a nurse. It is snowing or Susan is a writer. Can we infer the following from them? Answer yes or no: Susan is a writer.,no
propositional,inference,resolution,unrelated,Consider the following premises: Charles is not playing a game or it is cloudy. Charles is playing a game or Richard is reading a book. Can we infer the following from them? Answer yes or no: Richard is reading a book.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is snowing or Linda is a mechanic. It is not snowing or it is sunny. Can we infer the following from them? Answer yes or no: Linda is a mechanic.,no
propositional,inference,resolution,unrelated,Consider the following premises: William is not running or it is cloudy. William is running or it is raining. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,inference,resolution,unrelated,Consider the following premises: David is sleeping or Patricia is listening to a song. David is not sleeping or Karen is working. Can we infer the following from them? Answer yes or no: Karen is working.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is snowing or Barbara is a soldier. It is not snowing or Patricia is running. Can we infer the following from them? Answer yes or no: Patricia is running.,no
propositional,inference,resolution,unrelated,Consider the following premises: John is playing a game or it is overcast. John is not playing a game or John is driving a car. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is raining or it is windy. It is not raining or Susan is curious. Can we infer the following from them? Answer yes or no: Susan is curious.,no
propositional,inference,resolution,unrelated,Consider the following premises: Karen is listening to a song or Patricia is a poet. Karen is not listening to a song or it is raining. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,resolution,unrelated,Consider the following premises: Susan is not sleeping or John is a janitor. Susan is sleeping or Richard is an astronaut. Can we infer the following from them? Answer yes or no: John is a janitor.,no
propositional,inference,resolution,unrelated,Consider the following premises: Linda is not a server or Karen is playing squash. Linda is a server or David is a poet. Can we infer the following from them? Answer yes or no: Karen is playing squash.,no
propositional,inference,resolution,unrelated,Consider the following premises: Michael is not climbing a mountain or it is snowing. Michael is climbing a mountain or William is a nurse. Can we infer the following from them? Answer yes or no: William is a nurse.,no
propositional,inference,resolution,unrelated,Consider the following premises: Karen is writing a letter or Susan is listening to a song. Karen is not writing a letter or it is late. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is snowing or Jennifer is excited. It is not snowing or Charles is bored. Can we infer the following from them? Answer yes or no: Jennifer is excited.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not late or Joseph is running. It is late or William is making tea. Can we infer the following from them? Answer yes or no: Joseph is running.,no
propositional,inference,resolution,unrelated,Consider the following premises: Thomas is poor or Karen is working. Thomas is not poor or Patricia is playing squash. Can we infer the following from them? Answer yes or no: Patricia is playing squash.,no
propositional,inference,resolution,unrelated,Consider the following premises: William is not happy or it is cold. William is happy or Patricia is poor. Can we infer the following from them? Answer yes or no: Patricia is poor.,no
propositional,inference,resolution,unrelated,Consider the following premises: Robert is not excited or James is taking a plane. Robert is excited or it is snowing. Can we infer the following from them? Answer yes or no: James is taking a plane.,no
propositional,inference,resolution,unrelated,Consider the following premises: Jessica is taking a plane or it is cold. Jessica is not taking a plane or it is raining. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,resolution,unrelated,Consider the following premises: Sarah is listening to a song or William is sleeping. Sarah is not listening to a song or Linda is a musician. Can we infer the following from them? Answer yes or no: William is sleeping.,no
propositional,inference,resolution,unrelated,Consider the following premises: Susan is sad or Elisabeth is fast. Susan is not sad or Robert is a police officer. Can we infer the following from them? Answer yes or no: Robert is a police officer.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is sunny or Mary is a politician. It is not sunny or it is windy. Can we infer the following from them? Answer yes or no: Mary is a politician.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is windy or Jessica is a lawyer. It is not windy or it is cloudy. Can we infer the following from them? Answer yes or no: Jessica is a lawyer.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not overcast or Patricia is happy. It is overcast or William is climbing a mountain. Can we infer the following from them? Answer yes or no: William is climbing a mountain.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not sunny or Michael is curious. It is sunny or Richard is taking a plane. Can we infer the following from them? Answer yes or no: Richard is taking a plane.,no
propositional,inference,resolution,unrelated,Consider the following premises: Thomas is a janitor or Linda is playing squash. Thomas is not a janitor or Barbara is a musician. Can we infer the following from them? Answer yes or no: Linda is playing squash.,no
propositional,inference,resolution,unrelated,Consider the following premises: Karen is a cashier or it is raining. Karen is not a cashier or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,inference,resolution,unrelated,Consider the following premises: David is drinking water or it is sunny. David is not drinking water or Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: Elisabeth is writing a letter.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is windy or it is snowing. It is not windy or William is poor. Can we infer the following from them? Answer yes or no: William is poor.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is late or it is cold. It is not late or Joseph is fast. Can we infer the following from them? Answer yes or no: Joseph is fast.,no
propositional,inference,resolution,unrelated,Consider the following premises: Joseph is taking a plane or Jessica is curious. Joseph is not taking a plane or Robert is listening to a song. Can we infer the following from them? Answer yes or no: Robert is listening to a song.,no
propositional,inference,resolution,unrelated,Consider the following premises: Sarah is a taxi driver or it is snowing. Sarah is not a taxi driver or Patricia is poor. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,inference,resolution,unrelated,Consider the following premises: Linda is not playing tennis or Charles is making tea. Linda is playing tennis or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,resolution,unrelated,Consider the following premises: Jennifer is not listening to a song or Barbara is sleeping. Jennifer is listening to a song or Michael is a janitor. Can we infer the following from them? Answer yes or no: Barbara is sleeping.,no
propositional,inference,resolution,unrelated,Consider the following premises: Elisabeth is excited or Mary is drinking water. Elisabeth is not excited or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,inference,resolution,unrelated,Consider the following premises: Susan is not making tea or Barbara is sleeping. Susan is making tea or it is cold. Can we infer the following from them? Answer yes or no: Barbara is sleeping.,no
propositional,inference,resolution,unrelated,Consider the following premises: David is not listening to a song or it is sunny. David is listening to a song or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,resolution,unrelated,Consider the following premises: Michael is an office clerk or David is sleeping. Michael is not an office clerk or Michael is running. Can we infer the following from them? Answer yes or no: David is sleeping.,no
propositional,inference,resolution,unrelated,Consider the following premises: Patricia is not a musician or Elisabeth is excited. Patricia is a musician or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,inference,resolution,unrelated,Consider the following premises: Thomas is happy or it is raining. Thomas is not happy or it is late. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,inference,resolution,unrelated,Consider the following premises: James is not bored or Karen is a mechanic. James is bored or Thomas is a bartender. Can we infer the following from them? Answer yes or no: Thomas is a bartender.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is cloudy or Richard is a doctor. It is not cloudy or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is raining or Jessica is fast. It is not raining or William is climbing a mountain. Can we infer the following from them? Answer yes or no: William is climbing a mountain.,no
propositional,inference,resolution,unrelated,Consider the following premises: Linda is reading a book or Michael is driving a car. Linda is not reading a book or Charles is excited. Can we infer the following from them? Answer yes or no: Michael is driving a car.,no
propositional,inference,resolution,unrelated,Consider the following premises: Patricia is not sleeping or Barbara is driving a car. Patricia is sleeping or it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is driving a car.,no
propositional,inference,resolution,unrelated,Consider the following premises: Robert is climbing a mountain or Michael is playing tennis. Robert is not climbing a mountain or it is cold. Can we infer the following from them? Answer yes or no: Michael is playing tennis.,no
propositional,inference,resolution,unrelated,Consider the following premises: Richard is sleeping or Thomas is listening to a song. Richard is not sleeping or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not overcast or it is late. It is overcast or Susan is making tea. Can we infer the following from them? Answer yes or no: Susan is making tea.,no
propositional,inference,resolution,unrelated,Consider the following premises: It is not cloudy or Jennifer is a writer. It is cloudy or Barbara is excited. Can we infer the following from them? Answer yes or no: Barbara is excited.,no
propositional,inference,resolution,unrelated,Consider the following premises: James is climbing a mountain or Elisabeth is bored. James is not climbing a mountain or Patricia is reading a book. Can we infer the following from them? Answer yes or no: Elisabeth is bored.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Jessica is not listening to a song. The claim that Jessica is listening to a song and the claim that it is snowing cannot both be true. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Robert is playing squash and the claim that Barbara is a scientist cannot both be true. Robert is not playing squash. Can we infer the following from them? Answer yes or no: Barbara is a scientist.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not sunny. The claim that it is sunny and the claim that William is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: William is a carpenter.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: James is not a politician. The claim that James is a politician and the claim that Patricia is writing a letter cannot both be true. Can we infer the following from them? Answer yes or no: Patricia is writing a letter.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is cloudy and the claim that it is sunny cannot both be true. It is not cloudy. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not late. The claim that it is late and the claim that Linda is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: Linda is a scientist.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not overcast. The claim that it is overcast and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Michael is not drinking water. The claim that Michael is drinking water and the claim that Jennifer is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: Jennifer is a nurse.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: John is not sad. The claim that John is sad and the claim that Mary is taking a plane cannot both be true. Can we infer the following from them? Answer yes or no: Mary is taking a plane.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Jessica is a carpenter and the claim that it is snowing cannot both be true. Jessica is not a carpenter. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not windy. The claim that it is windy and the claim that Elisabeth is an artist cannot both be true. Can we infer the following from them? Answer yes or no: Elisabeth is an artist.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Patricia is driving a car and the claim that Jessica is a carpenter cannot both be true. Patricia is not driving a car. Can we infer the following from them? Answer yes or no: Jessica is a carpenter.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that David is climbing a mountain and the claim that Sarah is happy cannot both be true. David is not climbing a mountain. Can we infer the following from them? Answer yes or no: Sarah is happy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Richard is not sleeping. The claim that Richard is sleeping and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Joseph is not sleeping. The claim that Joseph is sleeping and the claim that Michael is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: Michael is a doctor.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Sarah is not writing a letter. The claim that Sarah is writing a letter and the claim that it is raining cannot both be true. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that James is a taxi driver and the claim that it is cloudy cannot both be true. James is not a taxi driver. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Charles is not a carpenter. The claim that Charles is a carpenter and the claim that Susan is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: Susan is a mechanic.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Richard is not working. The claim that Richard is working and the claim that Jennifer is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: Jennifer is driving a car.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Joseph is curious and the claim that it is windy cannot both be true. Joseph is not curious. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Charles is a carpenter and the claim that Richard is reading a book cannot both be true. Charles is not a carpenter. Can we infer the following from them? Answer yes or no: Richard is reading a book.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Charles is a server and the claim that Richard is a bartender cannot both be true. Charles is not a server. Can we infer the following from them? Answer yes or no: Richard is a bartender.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Richard is listening to a song and the claim that William is a writer cannot both be true. Richard is not listening to a song. Can we infer the following from them? Answer yes or no: William is a writer.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Elisabeth is climbing a mountain and the claim that Elisabeth is a musician cannot both be true. Elisabeth is not climbing a mountain. Can we infer the following from them? Answer yes or no: Elisabeth is a musician.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is sunny and the claim that John is a soldier cannot both be true. It is not sunny. Can we infer the following from them? Answer yes or no: John is a soldier.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Karen is not driving a car. The claim that Karen is driving a car and the claim that it is windy cannot both be true. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Michael is not sleeping. The claim that Michael is sleeping and the claim that Barbara is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: Barbara is a cashier.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Elisabeth is a carpenter and the claim that Robert is driving a car cannot both be true. Elisabeth is not a carpenter. Can we infer the following from them? Answer yes or no: Robert is driving a car.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is cold and the claim that Charles is cooking cannot both be true. It is not cold. Can we infer the following from them? Answer yes or no: Charles is cooking.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Barbara is playing tennis and the claim that David is a writer cannot both be true. Barbara is not playing tennis. Can we infer the following from them? Answer yes or no: David is a writer.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Joseph is not writing a letter. The claim that Joseph is writing a letter and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Karen is not a janitor. The claim that Karen is a janitor and the claim that Karen is a server cannot both be true. Can we infer the following from them? Answer yes or no: Karen is a server.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not raining. The claim that it is raining and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Mary is not reading a book. The claim that Mary is reading a book and the claim that Joseph is a musician cannot both be true. Can we infer the following from them? Answer yes or no: Joseph is a musician.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: David is not reading a book. The claim that David is reading a book and the claim that Elisabeth is drinking water cannot both be true. Can we infer the following from them? Answer yes or no: Elisabeth is drinking water.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Patricia is reading a book and the claim that it is cloudy cannot both be true. Patricia is not reading a book. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Barbara is curious and the claim that it is cloudy cannot both be true. Barbara is not curious. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not sunny. The claim that it is sunny and the claim that Linda is an electrician cannot both be true. Can we infer the following from them? Answer yes or no: Linda is an electrician.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is cold and the claim that Joseph is a soldier cannot both be true. It is not cold. Can we infer the following from them? Answer yes or no: Joseph is a soldier.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not overcast. The claim that it is overcast and the claim that Linda is cooking cannot both be true. Can we infer the following from them? Answer yes or no: Linda is cooking.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Michael is driving a car and the claim that it is cold cannot both be true. Michael is not driving a car. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Robert is a poet and the claim that Michael is reading a book cannot both be true. Robert is not a poet. Can we infer the following from them? Answer yes or no: Michael is reading a book.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not windy. The claim that it is windy and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not snowing. The claim that it is snowing and the claim that David is writing a letter cannot both be true. Can we infer the following from them? Answer yes or no: David is writing a letter.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is sunny and the claim that Susan is bored cannot both be true. It is not sunny. Can we infer the following from them? Answer yes or no: Susan is bored.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Patricia is not a mechanic. The claim that Patricia is a mechanic and the claim that Mary is cooking cannot both be true. Can we infer the following from them? Answer yes or no: Mary is cooking.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: Linda is not a soldier. The claim that Linda is a soldier and the claim that James is sleeping cannot both be true. Can we infer the following from them? Answer yes or no: James is sleeping.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not overcast. The claim that it is overcast and the claim that Patricia is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: Patricia is an office clerk.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is overcast and the claim that Mary is drinking water cannot both be true. It is not overcast. Can we infer the following from them? Answer yes or no: Mary is drinking water.,no
propositional,fallacy,denying a conjunct,inference,Consider the following premises: John is not a writer. The claim that John is a writer and the claim that it is cold cannot both be true. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Richard were rich, then it is overcast. Can we infer the following from them? Answer yes or no: If it is overcast, then Richard is rich.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan plays a game, then Thomas is a cashier. Can we infer the following from them? Answer yes or no: If Thomas were a cashier, then Susan is playing a game.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Barbara climbs a mountain, then James is a writer. Can we infer the following from them? Answer yes or no: If James were a writer, then Barbara is climbing a mountain.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Michael were an electrician, then Jessica is reading a book. Can we infer the following from them? Answer yes or no: If Jessica reads a book, then Michael is an electrician.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it rains, then it is cold. Can we infer the following from them? Answer yes or no: If it is cold, then it is raining.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is overcast, then Jennifer is cooking. Can we infer the following from them? Answer yes or no: If Jennifer cooks, then it is overcast.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Joseph reads a book, then it is sunny. Can we infer the following from them? Answer yes or no: If it is sunny, then Joseph is reading a book.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is late, then Michael is rich. Can we infer the following from them? Answer yes or no: If Michael were rich, then it is late.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is late, then it is windy. Can we infer the following from them? Answer yes or no: If it is windy, then it is late.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Michael were a poet, then Sarah is a janitor. Can we infer the following from them? Answer yes or no: If Sarah were a janitor, then Michael is a poet.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is cloudy, then Jennifer is driving a car. Can we infer the following from them? Answer yes or no: If Jennifer drives a car, then it is cloudy.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Linda cooks, then it is raining. Can we infer the following from them? Answer yes or no: If it rains, then Linda is cooking.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it snows, then Elisabeth is a scientist. Can we infer the following from them? Answer yes or no: If Elisabeth were a scientist, then it is snowing.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Thomas plays tennis, then Karen is reading a book. Can we infer the following from them? Answer yes or no: If Karen reads a book, then Thomas is playing tennis.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Jennifer cooks, then Karen is a server. Can we infer the following from them? Answer yes or no: If Karen were a server, then Jennifer is cooking.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is cloudy, then Patricia is excited. Can we infer the following from them? Answer yes or no: If Patricia were excited, then it is cloudy.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is late, then Elisabeth is drinking water. Can we infer the following from them? Answer yes or no: If Elisabeth drinks water, then it is late.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is cold, then Robert is bored. Can we infer the following from them? Answer yes or no: If Robert were bored, then it is cold.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Joseph were rich, then David is running. Can we infer the following from them? Answer yes or no: If David goes running, then Joseph is rich.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If James were curious, then it is cloudy. Can we infer the following from them? Answer yes or no: If it is cloudy, then James is curious.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Charles listens to a song, then Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: If Michael climbs a mountain, then Charles is listening to a song.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If David were a bartender, then Michael is a soldier. Can we infer the following from them? Answer yes or no: If Michael were a soldier, then David is a bartender.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If William drives a car, then Robert is cooking. Can we infer the following from them? Answer yes or no: If Robert cooks, then William is driving a car.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is sunny, then it is overcast. Can we infer the following from them? Answer yes or no: If it is overcast, then it is sunny.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Jessica plays a game, then Patricia is a mechanic. Can we infer the following from them? Answer yes or no: If Patricia were a mechanic, then Jessica is playing a game.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it snows, then it is overcast. Can we infer the following from them? Answer yes or no: If it is overcast, then it is snowing.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Thomas were an office clerk, then Mary is reading a book. Can we infer the following from them? Answer yes or no: If Mary reads a book, then Thomas is an office clerk.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If William plays tennis, then Karen is happy. Can we infer the following from them? Answer yes or no: If Karen were happy, then William is playing tennis.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is windy, then John is fast. Can we infer the following from them? Answer yes or no: If John were fast, then it is windy.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Joseph were a carpenter, then Michael is drinking water. Can we infer the following from them? Answer yes or no: If Michael drinks water, then Joseph is a carpenter.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it rains, then it is cloudy. Can we infer the following from them? Answer yes or no: If it is cloudy, then it is raining.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Linda were a taxi driver, then Richard is bored. Can we infer the following from them? Answer yes or no: If Richard were bored, then Linda is a taxi driver.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan writes a letter, then Robert is excited. Can we infer the following from them? Answer yes or no: If Robert were excited, then Susan is writing a letter.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it rains, then Patricia is an electrician. Can we infer the following from them? Answer yes or no: If Patricia were an electrician, then it is raining.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Charles plays a game, then David is a doctor. Can we infer the following from them? Answer yes or no: If David were a doctor, then Charles is playing a game.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Sarah takes a plane, then it is raining. Can we infer the following from them? Answer yes or no: If it rains, then Sarah is taking a plane.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If James drinks water, then Elisabeth is a musician. Can we infer the following from them? Answer yes or no: If Elisabeth were a musician, then James is drinking water.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If David were a mechanic, then Jessica is bored. Can we infer the following from them? Answer yes or no: If Jessica were bored, then David is a mechanic.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is late, then it is sunny. Can we infer the following from them? Answer yes or no: If it is sunny, then it is late.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Mary makes tea, then Karen is a police officer. Can we infer the following from them? Answer yes or no: If Karen were a police officer, then Mary is making tea.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan plays tennis, then Mary is a taxi driver. Can we infer the following from them? Answer yes or no: If Mary were a taxi driver, then Susan is playing tennis.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Jennifer were a janitor, then it is overcast. Can we infer the following from them? Answer yes or no: If it is overcast, then Jennifer is a janitor.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Jessica plays tennis, then Patricia is taking a plane. Can we infer the following from them? Answer yes or no: If Patricia takes a plane, then Jessica is playing tennis.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan reads a book, then Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: If Elisabeth sleeps, then Susan is reading a book.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Thomas works, then it is cold. Can we infer the following from them? Answer yes or no: If it is cold, then Thomas is working.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Sarah were a mechanic, then it is late. Can we infer the following from them? Answer yes or no: If it is late, then Sarah is a mechanic.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Karen were a bartender, then Michael is an astronaut. Can we infer the following from them? Answer yes or no: If Michael were an astronaut, then Karen is a bartender.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Linda works, then Robert is drinking water. Can we infer the following from them? Answer yes or no: If Robert drinks water, then Linda is working.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is overcast, then Michael is driving a car. Can we infer the following from them? Answer yes or no: If Michael drives a car, then it is overcast.",no
propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Barbara were rich, then Jessica is a bartender. Can we infer the following from them? Answer yes or no: If Jessica were a bartender, then Barbara is rich.",no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Patricia is a server or Barbara is a politician. Patricia is a server. Can we infer the following from them? Answer yes or no: Barbara is a politician.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Patricia is driving a car or Patricia is cooking. Patricia is driving a car. Can we infer the following from them? Answer yes or no: Patricia is cooking.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is overcast or Mary is sleeping. It is overcast. Can we infer the following from them? Answer yes or no: Mary is sleeping.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is sunny. It is sunny or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Robert is playing squash. Robert is playing squash or David is running. Can we infer the following from them? Answer yes or no: David is running.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: David is a server or Elisabeth is a lawyer. David is a server. Can we infer the following from them? Answer yes or no: Elisabeth is a lawyer.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late. It is late or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Thomas is playing a game or Susan is drinking water. Thomas is playing a game. Can we infer the following from them? Answer yes or no: Susan is drinking water.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is running. Mary is running or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is listening to a song. Mary is listening to a song or it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late. It is late or Michael is a nurse. Can we infer the following from them? Answer yes or no: Michael is a nurse.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is snowing or it is late. It is snowing. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is cloudy. It is cloudy or Linda is running. Can we infer the following from them? Answer yes or no: Linda is running.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Patricia is running or James is a cashier. Patricia is running. Can we infer the following from them? Answer yes or no: James is a cashier.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is cold or it is windy. It is cold. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Joseph is playing a game. Joseph is playing a game or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Linda is a lawyer or Barbara is fast. Linda is a lawyer. Can we infer the following from them? Answer yes or no: Barbara is fast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Linda is sleeping or it is late. Linda is sleeping. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is snowing or it is raining. It is snowing. Can we infer the following from them? Answer yes or no: It is raining.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Robert is an astronaut. Robert is an astronaut or Michael is taking a plane. Can we infer the following from them? Answer yes or no: Michael is taking a plane.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Linda is sleeping or Charles is making tea. Linda is sleeping. Can we infer the following from them? Answer yes or no: Charles is making tea.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is reading a book. Mary is reading a book or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Sarah is excited. Sarah is excited or Richard is drinking water. Can we infer the following from them? Answer yes or no: Richard is drinking water.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late or it is cloudy. It is late. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Jessica is a poet. Jessica is a poet or Susan is an astronaut. Can we infer the following from them? Answer yes or no: Susan is an astronaut.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Karen is a soldier. Karen is a soldier or Elisabeth is listening to a song. Can we infer the following from them? Answer yes or no: Elisabeth is listening to a song.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is cloudy. It is cloudy or Jennifer is a server. Can we infer the following from them? Answer yes or no: Jennifer is a server.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is a cashier or it is sunny. Mary is a cashier. Can we infer the following from them? Answer yes or no: It is sunny.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Sarah is driving a car or Joseph is curious. Sarah is driving a car. Can we infer the following from them? Answer yes or no: Joseph is curious.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: David is taking a plane. David is taking a plane or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is drinking water. Mary is drinking water or it is late. Can we infer the following from them? Answer yes or no: It is late.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Linda is climbing a mountain. Linda is climbing a mountain or Joseph is a soldier. Can we infer the following from them? Answer yes or no: Joseph is a soldier.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Michael is a writer. Michael is a writer or Mary is sleeping. Can we infer the following from them? Answer yes or no: Mary is sleeping.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Patricia is happy or it is overcast. Patricia is happy. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: William is listening to a song or Sarah is a taxi driver. William is listening to a song. Can we infer the following from them? Answer yes or no: Sarah is a taxi driver.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is playing squash. Mary is playing squash or Patricia is a cashier. Can we infer the following from them? Answer yes or no: Patricia is a cashier.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Sarah is a nurse. Sarah is a nurse or Elisabeth is a mechanic. Can we infer the following from them? Answer yes or no: Elisabeth is a mechanic.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Jessica is writing a letter or it is windy. Jessica is writing a letter. Can we infer the following from them? Answer yes or no: It is windy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Barbara is playing a game. Barbara is playing a game or Charles is a mechanic. Can we infer the following from them? Answer yes or no: Charles is a mechanic.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Robert is curious or Robert is a carpenter. Robert is curious. Can we infer the following from them? Answer yes or no: Robert is a carpenter.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Thomas is sleeping. Thomas is sleeping or William is drinking water. Can we infer the following from them? Answer yes or no: William is drinking water.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Michael is taking a plane. Michael is taking a plane or Sarah is bored. Can we infer the following from them? Answer yes or no: Sarah is bored.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is snowing or it is cold. It is snowing. Can we infer the following from them? Answer yes or no: It is cold.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is sunny or Thomas is writing a letter. It is sunny. Can we infer the following from them? Answer yes or no: Thomas is writing a letter.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Richard is a lawyer or Jennifer is cooking. Richard is a lawyer. Can we infer the following from them? Answer yes or no: Jennifer is cooking.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is snowing. It is snowing or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late. It is late or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is cloudy or Sarah is a soldier. It is cloudy. Can we infer the following from them? Answer yes or no: Sarah is a soldier.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Robert is a nurse. Robert is a nurse or Sarah is an office clerk. Can we infer the following from them? Answer yes or no: Sarah is an office clerk.,no
propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Barbara is playing a game. Barbara is playing a game or David is sad. Can we infer the following from them? Answer yes or no: David is sad.,no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Sarah reads a book, then Sarah is a cashier. Sarah is not reading a book. Can we infer the following from them? Answer yes or no: Sarah is not a cashier.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Thomas is not a taxi driver. If Thomas were a taxi driver, then Linda is poor. Can we infer the following from them? Answer yes or no: Linda is not poor.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Robert drives a car, then Jessica is drinking water. Robert is not driving a car. Can we infer the following from them? Answer yes or no: Jessica is not drinking water.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Elisabeth plays squash, then Karen is cooking. Elisabeth is not playing squash. Can we infer the following from them? Answer yes or no: Karen is not cooking.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Karen is not a bartender. If Karen were a bartender, then William is writing a letter. Can we infer the following from them? Answer yes or no: William is not writing a letter.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Joseph plays tennis, then Barbara is a nurse. Joseph is not playing tennis. Can we infer the following from them? Answer yes or no: Barbara is not a nurse.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Patricia is not bored. If Patricia were bored, then it is windy. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it snows, then it is cloudy. It is not snowing. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it snows, then Karen is driving a car. It is not snowing. Can we infer the following from them? Answer yes or no: Karen is not driving a car.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Michael plays a game, then James is playing tennis. Michael is not playing a game. Can we infer the following from them? Answer yes or no: James is not playing tennis.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not snowing. If it snows, then Patricia is a janitor. Can we infer the following from them? Answer yes or no: Patricia is not a janitor.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not raining. If it rains, then Patricia is writing a letter. Can we infer the following from them? Answer yes or no: Patricia is not writing a letter.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Robert is not playing a game. If Robert plays a game, then William is a writer. Can we infer the following from them? Answer yes or no: William is not a writer.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If William plays squash, then it is raining. William is not playing squash. Can we infer the following from them? Answer yes or no: It is not raining.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Jessica were an artist, then James is taking a plane. Jessica is not an artist. Can we infer the following from them? Answer yes or no: James is not taking a plane.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If William were a police officer, then Joseph is a bartender. William is not a police officer. Can we infer the following from them? Answer yes or no: Joseph is not a bartender.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Elisabeth is not a writer. If Elisabeth were a writer, then Joseph is a nurse. Can we infer the following from them? Answer yes or no: Joseph is not a nurse.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Mary were sad, then David is a bartender. Mary is not sad. Can we infer the following from them? Answer yes or no: David is not a bartender.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is cloudy, then Charles is playing a game. It is not cloudy. Can we infer the following from them? Answer yes or no: Charles is not playing a game.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not cold. If it is cold, then it is windy. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is late, then John is running. It is not late. Can we infer the following from them? Answer yes or no: John is not running.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Thomas sleeps, then it is windy. Thomas is not sleeping. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: David is not sad. If David were sad, then Linda is taking a plane. Can we infer the following from them? Answer yes or no: Linda is not taking a plane.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is cold, then Karen is playing squash. It is not cold. Can we infer the following from them? Answer yes or no: Karen is not playing squash.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it snows, then it is overcast. It is not snowing. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Richard is not a poet. If Richard were a poet, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Richard goes running, then it is sunny. Richard is not running. Can we infer the following from them? Answer yes or no: It is not sunny.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not snowing. If it snows, then James is running. Can we infer the following from them? Answer yes or no: James is not running.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Mary were a cashier, then it is cloudy. Mary is not a cashier. Can we infer the following from them? Answer yes or no: It is not cloudy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If John were a nurse, then John is making tea. John is not a nurse. Can we infer the following from them? Answer yes or no: John is not making tea.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Joseph were a writer, then Charles is playing tennis. Joseph is not a writer. Can we infer the following from them? Answer yes or no: Charles is not playing tennis.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: William is not driving a car. If William drives a car, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is cloudy, then it is late. It is not cloudy. Can we infer the following from them? Answer yes or no: It is not late.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Susan were a writer, then it is snowing. Susan is not a writer. Can we infer the following from them? Answer yes or no: It is not snowing.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Jessica were rich, then Karen is a taxi driver. Jessica is not rich. Can we infer the following from them? Answer yes or no: Karen is not a taxi driver.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is overcast, then it is windy. It is not overcast. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not cloudy. If it is cloudy, then Robert is bored. Can we infer the following from them? Answer yes or no: Robert is not bored.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If John were a soldier, then Joseph is listening to a song. John is not a soldier. Can we infer the following from them? Answer yes or no: Joseph is not listening to a song.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is overcast, then it is windy. It is not overcast. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Karen is not cooking. If Karen cooks, then Susan is a doctor. Can we infer the following from them? Answer yes or no: Susan is not a doctor.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Thomas is not a bartender. If Thomas were a bartender, then David is listening to a song. Can we infer the following from them? Answer yes or no: David is not listening to a song.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Elisabeth were a politician, then it is cold. Elisabeth is not a politician. Can we infer the following from them? Answer yes or no: It is not cold.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is late, then it is overcast. It is not late. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not overcast. If it is overcast, then John is a soldier. Can we infer the following from them? Answer yes or no: John is not a soldier.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Jennifer is not sad. If Jennifer were sad, then it is windy. Can we infer the following from them? Answer yes or no: It is not windy.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not windy. If it is windy, then Joseph is an office clerk. Can we infer the following from them? Answer yes or no: Joseph is not an office clerk.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Charles were rich, then Robert is sad. Charles is not rich. Can we infer the following from them? Answer yes or no: Robert is not sad.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Mary were bored, then Elisabeth is a taxi driver. Mary is not bored. Can we infer the following from them? Answer yes or no: Elisabeth is not a taxi driver.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Mary is not playing a game. If Mary plays a game, then it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.",no
propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is overcast, then Susan is climbing a mountain. It is not overcast. Can we infer the following from them? Answer yes or no: Susan is not climbing a mountain.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Richard is a janitor. If it rains, then Richard is a janitor. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is cold, then Jennifer is writing a letter. Jennifer is writing a letter. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Thomas drinks water, then William is a scientist. William is a scientist. Can we infer the following from them? Answer yes or no: Thomas is drinking water.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is sunny. If Patricia were happy, then it is sunny. Can we infer the following from them? Answer yes or no: Patricia is happy.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is overcast. If Michael were a carpenter, then it is overcast. Can we infer the following from them? Answer yes or no: Michael is a carpenter.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Mary were a mechanic, then it is sunny. It is sunny. Can we infer the following from them? Answer yes or no: Mary is a mechanic.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is overcast. If Robert reads a book, then it is overcast. Can we infer the following from them? Answer yes or no: Robert is reading a book.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is snowing. If it is cold, then it is snowing. Can we infer the following from them? Answer yes or no: It is cold.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Richard were a soldier, then Richard is a server. Richard is a server. Can we infer the following from them? Answer yes or no: Richard is a soldier.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Richard is a poet. If Michael plays a game, then Richard is a poet. Can we infer the following from them? Answer yes or no: Michael is playing a game.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Richard goes running, then Barbara is rich. Barbara is rich. Can we infer the following from them? Answer yes or no: Richard is running.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is late, then Sarah is listening to a song. Sarah is listening to a song. Can we infer the following from them? Answer yes or no: It is late.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If David were a bartender, then Sarah is sad. Sarah is sad. Can we infer the following from them? Answer yes or no: David is a bartender.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Thomas reads a book, then Robert is a server. Robert is a server. Can we infer the following from them? Answer yes or no: Thomas is reading a book.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is overcast, then Mary is a doctor. Mary is a doctor. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Thomas takes a plane, then Mary is excited. Mary is excited. Can we infer the following from them? Answer yes or no: Thomas is taking a plane.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Susan is a writer. If it is cloudy, then Susan is a writer. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Sarah drives a car, then Karen is a nurse. Karen is a nurse. Can we infer the following from them? Answer yes or no: Sarah is driving a car.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is overcast, then James is reading a book. James is reading a book. Can we infer the following from them? Answer yes or no: It is overcast.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Thomas is a scientist. If James cooks, then Thomas is a scientist. Can we infer the following from them? Answer yes or no: James is cooking.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Patricia is listening to a song. If Karen were a lawyer, then Patricia is listening to a song. Can we infer the following from them? Answer yes or no: Karen is a lawyer.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is cloudy, then it is cold. It is cold. Can we infer the following from them? Answer yes or no: It is cloudy.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is cold. If Elisabeth were a taxi driver, then it is cold. Can we infer the following from them? Answer yes or no: Elisabeth is a taxi driver.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Sarah is cooking. If it is sunny, then Sarah is cooking. Can we infer the following from them? Answer yes or no: It is sunny.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Mary is sleeping. If it snows, then Mary is sleeping. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is overcast. If Linda were a writer, then it is overcast. Can we infer the following from them? Answer yes or no: Linda is a writer.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is windy, then it is sunny. It is sunny. Can we infer the following from them? Answer yes or no: It is windy.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it snows, then Mary is a police officer. Mary is a police officer. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Mary is listening to a song. If Barbara were a carpenter, then Mary is listening to a song. Can we infer the following from them? Answer yes or no: Barbara is a carpenter.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is late. If Thomas drinks water, then it is late. Can we infer the following from them? Answer yes or no: Thomas is drinking water.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: David is a janitor. If Thomas drives a car, then David is a janitor. Can we infer the following from them? Answer yes or no: Thomas is driving a car.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Susan cooks, then it is cold. It is cold. Can we infer the following from them? Answer yes or no: Susan is cooking.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Karen goes running, then David is a server. David is a server. Can we infer the following from them? Answer yes or no: Karen is running.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: David is a server. If Joseph goes running, then David is a server. Can we infer the following from them? Answer yes or no: Joseph is running.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is cold. If it snows, then it is cold. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Elisabeth is running. If Barbara were a writer, then Elisabeth is running. Can we infer the following from them? Answer yes or no: Barbara is a writer.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it snows, then it is cold. It is cold. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If James goes running, then Charles is playing tennis. Charles is playing tennis. Can we infer the following from them? Answer yes or no: James is running.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Jessica were bored, then Karen is listening to a song. Karen is listening to a song. Can we infer the following from them? Answer yes or no: Jessica is bored.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Karen is a janitor. If Barbara were a scientist, then Karen is a janitor. Can we infer the following from them? Answer yes or no: Barbara is a scientist.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is cloudy. If Richard works, then it is cloudy. Can we infer the following from them? Answer yes or no: Richard is working.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Patricia were an electrician, then John is a bartender. John is a bartender. Can we infer the following from them? Answer yes or no: Patricia is an electrician.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Karen is a taxi driver. If Robert reads a book, then Karen is a taxi driver. Can we infer the following from them? Answer yes or no: Robert is reading a book.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Jennifer is reading a book. If James drives a car, then Jennifer is reading a book. Can we infer the following from them? Answer yes or no: James is driving a car.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Robert were a bartender, then David is an office clerk. David is an office clerk. Can we infer the following from them? Answer yes or no: Robert is a bartender.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it snows, then Sarah is a mechanic. Sarah is a mechanic. Can we infer the following from them? Answer yes or no: It is snowing.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Barbara were a writer, then Patricia is an office clerk. Patricia is an office clerk. Can we infer the following from them? Answer yes or no: Barbara is a writer.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it rains, then Jessica is a police officer. Jessica is a police officer. Can we infer the following from them? Answer yes or no: It is raining.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is cloudy. If Jessica were a musician, then it is cloudy. Can we infer the following from them? Answer yes or no: Jessica is a musician.",no
propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Susan were a lawyer, then Linda is cooking. Linda is cooking. Can we infer the following from them? Answer yes or no: Susan is a lawyer.",no
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 is a server, or y_2 is a bartender and y_2 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which both y_2 is a server or y_2 is a bartender and y_2 is a server or y_2 will climb a mountain are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will drink water, and either x will play squash or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will drink water and x will play squash, or x will drink water and x is a scientist.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one v for which v will listen to a song, or v is curious and v is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v for which both v will listen to a song or v is curious and v will listen to a song or v is a carpenter are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will read a book, and either x is a cashier or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will read a book and x is a cashier, or x will read a book and x will go running.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will write a letter, and either x will sleep or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will write a letter and x will sleep, or x will write a letter and x is an electrician.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will cook, and either x will take a plane or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will cook and x will take a plane, or x will cook and x is fast.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is poor, or x is a soldier and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is poor or x is a soldier and x is poor or x is a police officer are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will go running, or x is a nurse and x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will go running or x is a nurse and x will go running or x is a carpenter are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one v for which v will play tennis, or v will cook and v is a musician. Can we infer the following from them? Answer yes or no: There is at least one v for which both v will play tennis or v will cook and v will play tennis or v is a musician are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a cashier, and either x is a scientist or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a cashier and x is a scientist, or x is a cashier and x will drive a car.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a politician, and either x is a soldier or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a politician and x is a soldier, or x is a politician and x is a carpenter.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a nurse, and either x is a scientist or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a nurse and x is a scientist, or x is a nurse and x will climb a mountain.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is excited, or x is a cashier and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is excited or x is a cashier and x is excited or x will read a book are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will cook, or x will make tea and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will cook or x will make tea and x will cook or x will play a game are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a lawyer, or x will play tennis and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a lawyer or x will play tennis and x is a lawyer or x will drive a car are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is bored, and either x will read a book or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is bored and x will read a book, or x is bored and x will cook.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will listen to a song, and either x will drive a car or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will listen to a song and x will drive a car, or x will listen to a song and x will drink water.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will go running, and either x will drink water or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will go running and x will drink water, or x will go running and x will play squash.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one v for which v will drink water, or v will sleep and v is fast. Can we infer the following from them? Answer yes or no: There is at least one v for which both v will drink water or v will sleep and v will drink water or v is fast are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will play a game, and either x will listen to a song or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will play a game and x will listen to a song, or x will play a game and x is an astronaut.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, or x will drink water and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will take a plane or x will drink water and x will take a plane or x will read a book are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a sailor, or x is a musician and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a sailor or x is a musician and x is a sailor or x will listen to a song are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will go running, and either x is a soldier or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will go running and x is a soldier, or x will go running and x will cook.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a carpenter, and either x is an office clerk or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a carpenter and x is an office clerk, or x is a carpenter and x is happy.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: Some carpenters will play tennis or x will make tea. Can we infer the following from them? Answer yes or no: Some carpenters will play tennis, or x is a carpenter and x will make tea.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 will work, or y_2 is a doctor and y_2 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which both y_2 will work or y_2 is a doctor and y_2 will work or y_2 is a police officer are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will read a book, and either x will sleep or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will read a book and x will sleep, or x will read a book and x is excited.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a nurse, or x will go running and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a nurse or x will go running and x is a nurse or x will cook are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a janitor, or x will make tea and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a janitor or x will make tea and x is a janitor or x will drive a car are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a doctor, and either x is a mechanic or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a doctor and x is a mechanic, or x is a doctor and x will play squash.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is an electrician, and either x is a mechanic or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is an electrician and x is a mechanic, or x is an electrician and x is bored.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is excited, or x will play squash and x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is excited or x will play squash and x is excited or x is an artist are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will play a game, and either x is a writer or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will play a game and x is a writer, or x will play a game and x is a doctor.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 will take a plane, or y_2 is a cashier and y_2 will make tea. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which both y_2 will take a plane or y_2 is a cashier and y_2 will take a plane or y_2 will make tea are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is fast, and either x will play squash or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is fast and x will play squash, or x is fast and x is a bartender.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, and either x is a bartender or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will take a plane and x is a bartender, or x will take a plane and x will play tennis.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 will play tennis, or y_2 is bored and y_2 is happy. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which both y_2 will play tennis or y_2 is bored and y_2 will play tennis or y_2 is happy are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a server, or x is rich and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a server or x is rich and x is a server or x will drink water are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will read a book, and either x will take a plane or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will read a book and x will take a plane, or x will read a book and x is an electrician.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: Some mechanics will play a game or x is excited. Can we infer the following from them? Answer yes or no: Some mechanics will play a game, or x is a mechanic and x is excited.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is an electrician, or x will play a game and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is an electrician or x will play a game and x is an electrician or x will climb a mountain are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a soldier, or x is an artist and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is a soldier or x is an artist and x is a soldier or x is an electrician are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, or x will read a book and x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will take a plane or x will read a book and x will take a plane or x is a nurse are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will write a letter, or x is an electrician and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will write a letter or x is an electrician and x will write a letter or x will play tennis are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a taxi driver, and either x will cook or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a taxi driver and x will cook, or x is a taxi driver and x is a janitor.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will make tea, and either x will sleep or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will make tea and x will sleep, or x will make tea and x will go running.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will read a book, and either x will cook or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will read a book and x will cook, or x will read a book and x is a bartender.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will go running, and either x is a police officer or x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which either x will go running and x is a police officer, or x will go running and x is a lawyer.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will climb a mountain, or x is a taxi driver and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which both x will climb a mountain or x is a taxi driver and x will climb a mountain or x will drink water are true.",yes
predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is an electrician, and either x is happy or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is an electrician and x is happy, or x is an electrician and x is a writer.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a server, then x is playing tennis and if x plays tennis, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server if and only if x will play tennis.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were happy, then x is playing tennis and if x plays tennis, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy if and only if x will play tennis.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were an electrician, then x is taking a plane and if x takes a plane, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician if and only if x will take a plane.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is driving a car and if x drives a car, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain if and only if x will drive a car.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were happy, then x is a carpenter and if x were a carpenter, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy if and only if x is a carpenter.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a poet, then x is a musician and if x were a musician, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet if and only if x is a musician.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were sad, then x is a server and if x were a server, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad if and only if x is a server.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x cooks, then x is a scientist and if x were a scientist, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook if and only if x is a scientist.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were an astronaut, then x is rich and if x were rich, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut if and only if x is rich.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x drinks water, then x is a cashier and if x were a cashier, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will drink water if and only if x is a cashier.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 were a police officer, then y_1 is a lawyer and if y_1 were a lawyer, then y_1 is a police officer. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a police officer if and only if y_1 is a lawyer.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 plays squash, then y_1 is a sailor and if y_1 were a sailor, then y_1 is playing squash. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will play squash if and only if y_1 is a sailor.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were fast, then x is reading a book and if x reads a book, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast if and only if x will read a book.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a taxi driver, then x is a musician and if x were a musician, then x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver if and only if x is a musician.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will play tennis if and only if x is rich. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is rich and if x were rich, then x is playing tennis.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will play tennis if and only if x is a janitor. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is a janitor and if x were a janitor, then x is playing tennis.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a server if and only if x is a cashier. Can we infer the following from them? Answer yes or no: For all x, if x were a server, then x is a cashier and if x were a cashier, then x is a server.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were sad, then x is a mechanic and if x were a mechanic, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad if and only if x is a mechanic.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x cooks, then x is writing a letter and if x writes a letter, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook if and only if x will write a letter.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a sailor, then x is listening to a song and if x listens to a song, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor if and only if x will listen to a song.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 climbs a mountain, then y_1 is listening to a song and if y_1 listens to a song, then y_1 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will climb a mountain if and only if y_1 will listen to a song.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a poet, then x is taking a plane and if x takes a plane, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet if and only if x will take a plane.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_4, y_4 is a doctor if and only if y_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all y_4, if y_4 were a doctor, then y_4 is a taxi driver and if y_4 were a taxi driver, then y_4 is a doctor.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a scientist, then x is a nurse and if x were a nurse, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a scientist if and only if x is a nurse.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were an artist, then x is happy and if x were happy, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist if and only if x is happy.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_4, y_4 will work if and only if y_4 will read a book. Can we infer the following from them? Answer yes or no: For all y_4, if y_4 works, then y_4 is reading a book and if y_4 reads a book, then y_4 is working.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will listen to a song if and only if x is a doctor. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is a doctor and if x were a doctor, then x is listening to a song.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x plays squash, then x is writing a letter and if x writes a letter, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash if and only if x will write a letter.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a doctor if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, if x were a doctor, then x is running and if x goes running, then x is a doctor.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is bored if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, if x were bored, then x is poor and if x were poor, then x is bored.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x makes tea, then x is sad and if x were sad, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea if and only if x is sad.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will read a book if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is taking a plane and if x takes a plane, then x is reading a book.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a scientist, then x is curious and if x were curious, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a scientist if and only if x is curious.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will listen to a song if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is sleeping and if x sleeps, then x is listening to a song.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all z_4, z_4 will take a plane if and only if z_4 will cook. Can we infer the following from them? Answer yes or no: For all z_4, if z_4 takes a plane, then z_4 is cooking and if z_4 cooks, then z_4 is taking a plane.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were an artist, then x is a politician and if x were a politician, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist if and only if x is a politician.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is a musician and if x were a musician, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain if and only if x is a musician.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will make tea if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is running and if x goes running, then x is making tea.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a cashier if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, if x were a cashier, then x is listening to a song and if x listens to a song, then x is a cashier.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were rich, then x is working and if x works, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x is rich if and only if x will work.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is an electrician if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, if x were an electrician, then x is poor and if x were poor, then x is an electrician.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a soldier, then x is playing a game and if x plays a game, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a soldier if and only if x will play a game.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 were a janitor, then y_1 is bored and if y_1 were bored, then y_1 is a janitor. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a janitor if and only if y_1 is bored.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a writer, then x is a lawyer and if x were a lawyer, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a writer if and only if x is a lawyer.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_4, y_4 will cook if and only if y_4 will sleep. Can we infer the following from them? Answer yes or no: For all y_4, if y_4 cooks, then y_4 is sleeping and if y_4 sleeps, then y_4 is cooking.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x cooks, then x is poor and if x were poor, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook if and only if x is poor.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were a server, then x is driving a car and if x drives a car, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server if and only if x will drive a car.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will drink water if and only if x is a cashier. Can we infer the following from them? Answer yes or no: For all x, if x drinks water, then x is a cashier and if x were a cashier, then x is drinking water.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will make tea if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is a mechanic and if x were a mechanic, then x is making tea.",yes
predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a mechanic if and only if x is a bartender. Can we infer the following from them? Answer yes or no: For all x, if x were a mechanic, then x is a bartender and if x were a bartender, then x is a mechanic.",yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will drive a car and z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will drive a car.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will sleep and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some poets are poets. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a poet.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some mechanics are mechanics. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a mechanic.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v_1 for which v_1 is bored and v_1 is bored. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is bored.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one w for which w will go running and w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w will go running.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y is happy and y is happy. Can we infer the following from them? Answer yes or no: There is at least one y for which y is happy.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will climb a mountain and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will go running and y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will go running.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will work and y will work. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will listen to a song and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some cashiers are cashiers. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a cashier.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y_1 for which y_1 will take a plane or y_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will take a plane.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will write a letter and y will write a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will play a game and y will play a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play a game.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some bartenders are bartenders. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some musicians are musicians. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is a musician.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y_1 for which y_1 is a nurse or y_1 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is a nurse.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will play tennis and z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play tennis.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v will take a plane or v will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which v will take a plane.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will cook and z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will read a book and y will read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will read a book.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x is bored and x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some mechanics are mechanics. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a mechanic.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one u for which u will read a book and u will read a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will read a book.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v will read a book or v will read a book. Can we infer the following from them? Answer yes or no: There is at least one v for which v will read a book.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will play squash and y will play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will climb a mountain and z will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z for which z will climb a mountain.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some musicians are musicians. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one u for which u is fast and u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which u is fast.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will take a plane and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some musicians are musicians. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will go running and y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will go running.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v is a police officer or v is a police officer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a police officer.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will climb a mountain and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will write a letter and y will write a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will listen to a song and y will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v will play tennis or v will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some scientists are scientists. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a scientist.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x is curious and x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: Some sailors are sailors. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will play squash and z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will play a game and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will listen to a song and z will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x is a poet or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v will drink water or v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y will play a game and y will play a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play a game.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v is happy or v is happy. Can we infer the following from them? Answer yes or no: There is at least one v for which v is happy.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z for which z will make tea and z will make tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z will make tea.,yes
predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v_1 for which v_1 is an astronaut and v_1 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is an astronaut.,yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no z_3 for which z_3 will sleep. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will not sleep.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w will not play a game. Can we infer the following from them? Answer yes or no: Not for all w, w will play a game.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all u, u is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a scientist.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is no x for which x will climb a mountain.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no x for which x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no v for which v is an astronaut. Can we infer the following from them? Answer yes or no: For all v, v is not an astronaut.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all y_2, y_2 will not read a book. Can we infer the following from them? Answer yes or no: There is no y_2 for which y_2 will read a book.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all w, w will not drive a car. Can we infer the following from them? Answer yes or no: There is no w for which w will drive a car.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no z_3 for which z_3 is curious. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is not curious.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all z_3, z_3 is not a cashier. Can we infer the following from them? Answer yes or no: There is no z_3 for which z_3 is a cashier.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no x for which x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x is not a taxi driver. Can we infer the following from them? Answer yes or no: Not for all x, x is a taxi driver.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w is not poor. Can we infer the following from them? Answer yes or no: Not for all w, w is poor.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not drink water. Can we infer the following from them? Answer yes or no: There is no x for which x will drink water.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x is not a sailor. Can we infer the following from them? Answer yes or no: There is no x for which x is a sailor.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x will not take a plane. Can we infer the following from them? Answer yes or no: Not for all x, x will take a plane.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w will not write a letter. Can we infer the following from them? Answer yes or no: Not for all w, w will write a letter.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no x for which x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not sleep. Can we infer the following from them? Answer yes or no: There is no x for which x will sleep.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all w, w will read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not read a book.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w will not play tennis. Can we infer the following from them? Answer yes or no: Not for all w, w will play tennis.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all u, u will write a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not write a letter.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all w, w will not sleep. Can we infer the following from them? Answer yes or no: There is no w for which w will sleep.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all y_2, y_2 will not sleep. Can we infer the following from them? Answer yes or no: There is no y_2 for which y_2 will sleep.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w is not a politician. Can we infer the following from them? Answer yes or no: Not for all w, w is a politician.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all w, w will not climb a mountain. Can we infer the following from them? Answer yes or no: There is no w for which w will climb a mountain.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all u, u is a doctor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a doctor.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x will not cook. Can we infer the following from them? Answer yes or no: Not for all x, x will cook.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a taxi driver.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: There is no x for which x will listen to a song.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all u, u is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a mechanic.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no x for which x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one y for which y is not rich. Can we infer the following from them? Answer yes or no: Not for all y, y is rich.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w will not listen to a song. Can we infer the following from them? Answer yes or no: Not for all w, w will listen to a song.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x is not a taxi driver. Can we infer the following from them? Answer yes or no: There is no x for which x is a taxi driver.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x is not a poet. Can we infer the following from them? Answer yes or no: Not for all x, x is a poet.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one y_1 for which y_1 will not take a plane. Can we infer the following from them? Answer yes or no: Not for all y_1, y_1 will take a plane.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x will not play tennis. Can we infer the following from them? Answer yes or no: Not for all x, x will play tennis.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all z_4, z_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not an office clerk.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is no x for which x will write a letter.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all z_3, z_3 is not a musician. Can we infer the following from them? Answer yes or no: There is no z_3 for which z_3 is a musician.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is no x for which x will write a letter.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all x, x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",yes
predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one w for which w will not go running. Can we infer the following from them? Answer yes or no: Not for all w, w will go running.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w, w will play a game and w will play a game. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will sleep or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 will drive a car or w_1 will drive a car. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will drive a car.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u is a politician and u is a politician. Can we infer the following from them? Answer yes or no: For all u, u is a politician.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is a bartender or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will sleep and u will sleep. Can we infer the following from them? Answer yes or no: For all u, u will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z is a janitor and z is a janitor. Can we infer the following from them? Answer yes or no: For all z, z is a janitor.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z will climb a mountain and z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 is excited or w_1 is excited. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is excited.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will play squash and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 is happy or w_1 is happy. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is happy.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will sleep and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will take a plane or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 will go running or w_1 will go running. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will go running.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will go running and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will go running.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will write a letter or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will go running and u will go running. Can we infer the following from them? Answer yes or no: For all u, u will go running.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z is a writer and z is a writer. Can we infer the following from them? Answer yes or no: For all z, z is a writer.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will climb a mountain or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 is bored or w_1 is bored. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is bored.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is an office clerk and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will sleep or u will sleep. Can we infer the following from them? Answer yes or no: For all u, u will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z will play a game and z will play a game. Can we infer the following from them? Answer yes or no: For all z, z will play a game.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z will drive a car and z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z is a lawyer and z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, z is a lawyer.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will drink water and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u is a doctor and u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is a doctor.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u is bored and u is bored. Can we infer the following from them? Answer yes or no: For all u, u is bored.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will take a plane or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will play squash and u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will play squash.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will sleep and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w_1, w_1 will cook or w_1 will cook. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will cook.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_1, z_1 is excited and z_1 is excited. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is excited.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is a soldier or x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_1, z_1 will cook and z_1 will cook. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will cook.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is sad or x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z will sleep and z will sleep. Can we infer the following from them? Answer yes or no: For all z, z will sleep.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will go running or x will go running. Can we infer the following from them? Answer yes or no: For all x, x will go running.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will write a letter and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_1, z_1 will drive a car and z_1 will drive a car. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will drive a car.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will play tennis or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u_2, u_2 is a scientist and u_2 is a scientist. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a scientist.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will drive a car or u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will play squash or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u_2, u_2 will drink water and u_2 will drink water. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will drink water.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_1, z_1 is a lawyer and z_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is a lawyer.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will work and u will work. Can we infer the following from them? Answer yes or no: For all u, u will work.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is a sailor or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is a taxi driver or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes
predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all w, w will cook and w will cook. Can we infer the following from them? Answer yes or no: For all w, w will cook.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Joseph were a scientist, then x is a soldier. Can we infer the following from them? Answer yes or no: If Joseph were a scientist, then there is at least one x for which x is a soldier.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Susan were an office clerk, then there is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which if Susan were an office clerk, then x is cooking.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If James were an artist, then for all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, if James were an artist, then x is fast.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one w for which if David were poor, then w is a musician. Can we infer the following from them? Answer yes or no: If David were poor, then there is at least one w for which w is a musician.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Linda were a janitor, then x is a doctor. Can we infer the following from them? Answer yes or no: If Linda were a janitor, then there is at least one x for which x is a doctor.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all z_1, if it is overcast, then z_1 is curious. Can we infer the following from them? Answer yes or no: If it is overcast, then for all z_1, z_1 is curious.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if it rains, then x is taking a plane. Can we infer the following from them? Answer yes or no: If it rains, then there is at least one x for which x will take a plane.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Mary were a mechanic, then x is a sailor. Can we infer the following from them? Answer yes or no: If Mary were a mechanic, then there is at least one x for which x is a sailor.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Sarah were a cashier, then for all y, y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, if Sarah were a cashier, then y is a taxi driver.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one x for which x is a poet, then Karen is sleeping. Can we infer the following from them? Answer yes or no: For all x, if x were a poet, then Karen is sleeping.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If it is overcast, then there is at least one y_4 for which y_4 is bored. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which if it is overcast, then y_4 is bored.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if Joseph were a mechanic, then x is a soldier. Can we infer the following from them? Answer yes or no: If Joseph were a mechanic, then for all x, x is a soldier.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x is a writer, then it is raining. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a writer, then it is raining.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Jennifer were an office clerk, then for all v_1, v_1 will write a letter. Can we infer the following from them? Answer yes or no: For all v_1, if Jennifer were an office clerk, then v_1 is writing a letter.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one x for which x will make tea, then William is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then William is climbing a mountain.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x is a doctor, then Linda is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a doctor, then Linda is reading a book.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Susan cooks, then there is at least one x for which x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which if Susan cooks, then x is a police officer.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x will play tennis, then James is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays tennis, then James is taking a plane.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Charles were a writer, then for all w_4, w_4 will play tennis. Can we infer the following from them? Answer yes or no: For all w_4, if Charles were a writer, then w_4 is playing tennis.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one u for which u is curious, then Sarah is a nurse. Can we infer the following from them? Answer yes or no: For all u, if u were curious, then Sarah is a nurse.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one w for which if William writes a letter, then w is playing tennis. Can we infer the following from them? Answer yes or no: If William writes a letter, then there is at least one w for which w will play tennis.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one v for which v is a bartender, then Richard is cooking. Can we infer the following from them? Answer yes or no: For all v, if v were a bartender, then Richard is cooking.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Susan plays a game, then for all u_3, u_3 will make tea. Can we infer the following from them? Answer yes or no: For all u_3, if Susan plays a game, then u_3 is making tea.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If it is cold, then there is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which if it is cold, then x is working.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if James sleeps, then x is cooking. Can we infer the following from them? Answer yes or no: If James sleeps, then for all x, x will cook.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Robert were an electrician, then x is drinking water. Can we infer the following from them? Answer yes or no: If Robert were an electrician, then there is at least one x for which x will drink water.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x is sad, then it is raining. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were sad, then it is raining.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all v, v will play a game, then Joseph is driving a car. Can we infer the following from them? Answer yes or no: There is at least one v for which if v plays a game, then Joseph is driving a car.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one w for which if it rains, then w is sleeping. Can we infer the following from them? Answer yes or no: If it rains, then there is at least one w for which w will sleep.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one x for which x is a police officer, then Joseph is a nurse. Can we infer the following from them? Answer yes or no: For all x, if x were a police officer, then Joseph is a nurse.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If it is windy, then for all w_4, w_4 is curious. Can we infer the following from them? Answer yes or no: For all w_4, if it is windy, then w_4 is curious.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If David takes a plane, then there is at least one u for which u is a writer. Can we infer the following from them? Answer yes or no: There is at least one u for which if David takes a plane, then u is a writer.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if Joseph were a musician, then x is a police officer. Can we infer the following from them? Answer yes or no: If Joseph were a musician, then for all x, x is a police officer.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if Robert were an astronaut, then x is an artist. Can we infer the following from them? Answer yes or no: If Robert were an astronaut, then for all x, x is an artist.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if Jessica plays squash, then x is working. Can we infer the following from them? Answer yes or no: If Jessica plays squash, then for all x, x will work.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one x for which x will work, then Jennifer is a bartender. Can we infer the following from them? Answer yes or no: For all x, if x works, then Jennifer is a bartender.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one z for which z will write a letter, then it is cold. Can we infer the following from them? Answer yes or no: For all z, if z writes a letter, then it is cold.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one x for which x will cook, then Charles is a server. Can we infer the following from them? Answer yes or no: For all x, if x cooks, then Charles is a server.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all v, if Jennifer were a politician, then v is poor. Can we infer the following from them? Answer yes or no: If Jennifer were a politician, then for all v, v is poor.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one u_1 for which u_1 is a doctor, then it is late. Can we infer the following from them? Answer yes or no: For all u_1, if u_1 were a doctor, then it is late.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Thomas writes a letter, then for all v_1, v_1 is excited. Can we infer the following from them? Answer yes or no: For all v_1, if Thomas writes a letter, then v_1 is excited.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all z, if it is cloudy, then z is cooking. Can we infer the following from them? Answer yes or no: If it is cloudy, then for all z, z will cook.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Barbara works, then there is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which if Barbara works, then x is writing a letter.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Joseph plays squash, then for all v_1, v_1 is a nurse. Can we infer the following from them? Answer yes or no: For all v_1, if Joseph plays squash, then v_1 is a nurse.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Joseph were fast, then x is running. Can we infer the following from them? Answer yes or no: If Joseph were fast, then there is at least one x for which x will go running.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if it is cloudy, then x is working. Can we infer the following from them? Answer yes or no: If it is cloudy, then there is at least one x for which x will work.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Sarah writes a letter, then for all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, if Sarah writes a letter, then x is sad.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Jessica goes running, then for all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, if Jessica goes running, then x is sad.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Thomas were happy, then for all x, x is a soldier. Can we infer the following from them? Answer yes or no: For all x, if Thomas were happy, then x is a soldier.",yes
predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If it rains, then there is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which if it rains, then x is a soldier.",yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one y for which y will drink water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drink water.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one y for which y will make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will make tea.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an electrician.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v will cook. Can we infer the following from them? Answer yes or no: There is at least one v for which v will cook.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z for which z will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one y for which y is a writer. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a writer.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z_3 for which z_3 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is a doctor.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z_3 for which z_3 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is a writer.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one y for which y is excited. Can we infer the following from them? Answer yes or no: There is at least one y for which y is excited.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one y for which y will make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will make tea.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which v will listen to a song.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z for which z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v_4 for which v_4 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is a bartender.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z_3 for which z_3 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is a janitor.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which v will take a plane.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drive a car.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w for which w is a poet. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a poet.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z for which z will go running. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v for which v is fast. Can we infer the following from them? Answer yes or no: There is at least one v for which v is fast.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w for which w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a janitor.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w for which w will cook. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v_4 for which v_4 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will play a game.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w for which w will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one w for which w will listen to a song.,yes
predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.,yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all z, neither z is a janitor nor z is a mechanic. Can we infer the following from them? Answer yes or no: For all z, z is not a janitor and z is not a mechanic.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is a mechanic and the claim that x is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic or x is not a janitor.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x_1, the claim that x_1 will drink water and the claim that x_1 will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not drink water or x_1 will not make tea.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will play squash and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not play squash or x will not read a book.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will listen to a song and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song or x will not read a book.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w_1, the claim that w_1 will drink water and the claim that w_1 is an artist cannot both be true. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not drink water or w_1 is not an artist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is bored nor x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not bored and x is not rich.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w is a writer and the claim that w is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is not a writer or w is not a nurse.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will take a plane nor x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane and x is not a carpenter.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w is poor and the claim that w is bored cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is not poor or w is not bored.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is a musician nor x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is not a musician and x will not drink water.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w_1, the claim that w_1 will take a plane and the claim that w_1 is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not take a plane or w_1 is not a sailor.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y is happy nor y will cook. Can we infer the following from them? Answer yes or no: For all y, y is not happy and y will not cook.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is a carpenter nor x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter and x is not rich.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x_1, the claim that x_1 will work and the claim that x_1 is a musician cannot both be true. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not work or x_1 is not a musician.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is an astronaut nor x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut and x will not cook.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is a soldier and the claim that x will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier or x will not take a plane.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will take a plane nor x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane and x is not an office clerk.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will write a letter nor x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter and x will not play squash.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is an office clerk and the claim that x is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk or x is not a scientist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is a writer and the claim that x is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a writer or x is not a janitor.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w_1, the claim that w_1 is a nurse and the claim that w_1 is a musician cannot both be true. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is not a nurse or w_1 is not a musician.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is bored nor x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not bored and x is not an office clerk.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will climb a mountain and the claim that x is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain or x is not an office clerk.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will take a plane nor x is happy. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane and x is not happy.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w will work and the claim that w is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w will not work or w is not a scientist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w_1, the claim that w_1 will sleep and the claim that w_1 will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not sleep or w_1 will not drive a car.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w will read a book and the claim that w is rich cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w will not read a book or w is not rich.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x_1, the claim that x_1 will climb a mountain and the claim that x_1 is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not climb a mountain or x_1 is not a doctor.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will write a letter nor x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter and x will not sleep.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is a doctor and the claim that x is rich cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor or x is not rich.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will play a game and the claim that x will work cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not play a game or x will not work.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w is a carpenter and the claim that w is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is not a carpenter or w is not a scientist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all z, neither z is a janitor nor z is an electrician. Can we infer the following from them? Answer yes or no: For all z, z is not a janitor and z is not an electrician.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will cook nor x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not cook and x will not drink water.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is a bartender nor x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender and x is not an artist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will go running nor x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not go running and x is not a taxi driver.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is a janitor and the claim that x will sleep cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor or x will not sleep.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y is a poet nor y is an artist. Can we infer the following from them? Answer yes or no: For all y, y is not a poet and y is not an artist.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, the claim that w is a politician and the claim that w is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is not a politician or w is not an office clerk.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will climb a mountain nor x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain and x is not a politician.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will play a game and the claim that x is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not play a game or x is not a sailor.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all z, neither z will work nor z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will not work and z will not climb a mountain.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is poor and the claim that x will work cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not poor or x will not work.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y is curious nor y is happy. Can we infer the following from them? Answer yes or no: For all y, y is not curious and y is not happy.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y will take a plane nor y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y will not take a plane and y is not an office clerk.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will listen to a song and the claim that x is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song or x is not a soldier.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x is poor and the claim that x is a politician cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not poor or x is not a politician.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is a politician nor x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is not a politician and x will not read a book.",yes
predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will play a game nor x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not play a game and x will not listen to a song.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, or x will read a book or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane or x will read a book, or x will cook.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will go running, or x is a writer or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running or x is a writer, or x is a taxi driver.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will sleep, or x will write a letter or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep or x will write a letter, or x will read a book.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will drive a car, and x will play squash and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car and x will play squash, and x will take a plane.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one u for which u will listen to a song, and u is a taxi driver and u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u will listen to a song and u is a taxi driver, and u will take a plane.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 will drive a car, or y_2 will work or y_2 is an artist. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will drive a car or y_2 will work, or y_2 is an artist.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will play tennis, and y is a nurse and y is curious. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play tennis and y is a nurse, and y is curious.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will read a book, or x will play a game or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book or x will play a game, or x is sad.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a server, or x is a taxi driver or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server or x is a taxi driver, or x is a cashier.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one v for which v is a bartender, and v will drive a car and v is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a bartender and v will drive a car, and v is a doctor.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 will drive a car, or y_2 will sleep or y_2 is sad. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will drive a car or y_2 will sleep, or y_2 is sad.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a police officer, or x is a cashier or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer or x is a cashier, or x is a sailor.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a server, or x will read a book or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server or x will read a book, or x will listen to a song.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one z for which z will go running, and z will listen to a song and z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running and z will listen to a song, and z will play tennis.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y is a taxi driver, and y is a nurse and y is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a taxi driver and y is a nurse, and y is a cashier.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one z for which z is a taxi driver, and z will play squash and z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a taxi driver and z will play squash, and z will drive a car.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will go running, or x will take a plane or x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running or x will take a plane, or x is a server.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will listen to a song, and y is fast and y will read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song and y is fast, and y will read a book.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one v for which v will work, and v is a janitor and v will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work and v is a janitor, and v will climb a mountain.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will play a game, and x will play tennis and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game and x will play tennis, and x will climb a mountain.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, or x is a cashier or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane or x is a cashier, or x is a taxi driver.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a carpenter, or x will make tea or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter or x will make tea, or x will play a game.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one u for which u is a writer, and u is a nurse and u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a writer and u is a nurse, and u will sleep.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will read a book, or x will listen to a song or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book or x will listen to a song, or x is a writer.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will listen to a song, and y will drive a car and y will make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song and y will drive a car, and y will make tea.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y is a musician, and y is a doctor and y will work. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a musician and y is a doctor, and y will work.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will make tea, or x will take a plane or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea or x will take a plane, or x will climb a mountain.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 is a musician, or y_2 will listen to a song or y_2 will drink water. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is a musician or y_2 will listen to a song, or y_2 will drink water.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will listen to a song, and y is sad and y will work. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song and y is sad, and y will work.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one z for which z will climb a mountain, and z will play tennis and z is sad. Can we infer the following from them? Answer yes or no: There is at least one z for which z will climb a mountain and z will play tennis, and z is sad.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will go running, and x will take a plane and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running and x will take a plane, and x will read a book.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will play squash, and y is poor and y is excited. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash and y is poor, and y is excited.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 is a scientist, or y_2 is happy or y_2 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is a scientist or y_2 is happy, or y_2 is a taxi driver.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y for which y will play tennis, and y is a soldier and y will cook. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play tennis and y is a soldier, and y will cook.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will cook, and x will play tennis and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook and x will play tennis, and x will take a plane.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will take a plane, or x will play a game or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane or x will play a game, or x will play tennis.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will drive a car, and x is a politician and x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car and x is a politician, and x will go running.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will work, and x is happy and x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work and x is happy, and x is sad.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will make tea, or x will drink water or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea or x will drink water, or x will read a book.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will sleep, or x will play squash or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep or x will play squash, or x will cook.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one y_2 for which y_2 is excited, or y_2 will play squash or y_2 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is excited or y_2 will play squash, or y_2 will climb a mountain.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a mechanic, or x is poor or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic or x is poor, or x is an electrician.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a janitor, and x is a server and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor and x is a server, and x will drive a car.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a taxi driver, or x is curious or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver or x is curious, or x is a scientist.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is an electrician, or x will drive a car or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician or x will drive a car, or x will play squash.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one u for which u will play squash, and u will play tennis and u is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash and u will play tennis, and u is a scientist.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will cook, and x will listen to a song and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook and x will listen to a song, and x is a police officer.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a soldier, or x will read a book or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier or x will read a book, or x is sad.",yes
predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will climb a mountain, and x will sleep and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain and x will sleep, and x is poor.",yes
predicate,equivalent,existential associative laws,inference,Consider the following premises: Some doctors will listen to a song and x is an astronaut. Can we infer the following from them? Answer yes or no: Some doctors will listen to a song and x is an astronaut.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w is a police officer and w will play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play a game and w is a police officer.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some bartenders are sailors. Can we infer the following from them? Answer yes or no: Some sailors are bartenders.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will drink water and x is a doctor. Can we infer the following from them? Answer yes or no: Some doctors will drink water.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is an office clerk or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician or x is an office clerk.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will go running and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game and x will go running.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a server or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car or x is a server.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will climb a mountain and w is a politician. Can we infer the following from them? Answer yes or no: Some politicians will climb a mountain.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will write a letter and w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an artist and w will write a letter.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is fast or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car or x is fast.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will climb a mountain or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast or x will climb a mountain.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one v for which v will play tennis or v is a musician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a musician or v will play tennis.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a lawyer or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car or x is a lawyer.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will drink water and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook and x will drink water.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will play squash and x is a politician. Can we infer the following from them? Answer yes or no: Some politicians will play squash.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_4 for which x_4 is an astronaut or x_4 is rich. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is rich or x_4 is an astronaut.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a bartender or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter or x is a bartender.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some servers are cashiers. Can we infer the following from them? Answer yes or no: Some cashiers are servers.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will climb a mountain or w is a sailor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a sailor or w will climb a mountain.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a police officer or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook or x is a police officer.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some doctors will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter and x is a doctor.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will sleep and w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which w is rich and w will sleep.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w is a musician and w is sad. Can we infer the following from them? Answer yes or no: There is at least one w for which w is sad and w is a musician.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will play a game and x is a politician. Can we infer the following from them? Answer yes or no: Some politicians will play a game.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_3 for which x_3 will cook and x_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is an office clerk and x_3 will cook.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w is a bartender or w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which w will make tea or w is a bartender.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one z for which z will go running and z is a nurse. Can we infer the following from them? Answer yes or no: Some nurses will go running.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_3 for which x_3 is an office clerk and x_3 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a police officer and x_3 is an office clerk.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will cook or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician or x will cook.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one v for which v will make tea or v is poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is poor or v will make tea.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a carpenter or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis or x is a carpenter.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one v for which v will play tennis or v is a poet. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a poet or v will play tennis.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one v for which v will listen to a song or v is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a sailor or v will listen to a song.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will read a book and w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w will go running and w will read a book.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will work and x is a writer. Can we infer the following from them? Answer yes or no: Some writers will work.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one z for which z is curious and z is a scientist. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a scientist and z is curious.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will cook and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book and x will cook.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one z for which z is rich and z is a doctor. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a doctor and z is rich.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w is a writer or w will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one w for which w will listen to a song or w is a writer.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is an office clerk and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain and x is an office clerk.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a soldier or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored or x is a soldier.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_4 for which x_4 will go running or x_4 is fast. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is fast or x_4 will go running.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is bored and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich and x is bored.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one w for which w will cook and w is a musician. Can we infer the following from them? Answer yes or no: Some musicians will cook.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will play a game and x is a politician. Can we infer the following from them? Answer yes or no: Some politicians will play a game.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will play a game and x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running and x will play a game.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will write a letter or x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk or x will write a letter.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one z for which z will drive a car and z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an artist and z will drive a car.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some politicians will cook. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook and w is a politician.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will go running or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work or x will go running.,yes
predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a taxi driver and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor and x is a taxi driver.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will take a plane nor x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane and x will not listen to a song.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x will listen to a song and the claim that x is a politician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song or x is not a politician.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will take a plane nor x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane and x is not excited.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which the claim that z is an astronaut and the claim that z will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not an astronaut or z will not play tennis.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v_1 for which neither v_1 is excited nor v_1 will play squash. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is not excited and v_1 will not play squash.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will sleep nor x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep and x will not listen to a song.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v will listen to a song nor v will play a game. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not listen to a song and v will not play a game.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w will climb a mountain and the claim that w will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain or w will not sleep.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w will make tea and the claim that w will drink water cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not make tea or w will not drink water.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w will cook and the claim that w is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook or w is not a cashier.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w will work and the claim that w is an electrician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not work or w is not an electrician.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v is a musician nor v is an artist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a musician and v is not an artist.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x will read a book and the claim that x is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book or x is not a server.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will make tea nor x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea and x is not poor.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will work nor x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work and x will not cook.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z_4 for which neither z_4 is a mechanic nor z_4 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a mechanic and z_4 will not take a plane.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w is a doctor and the claim that w is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a doctor or w is not an office clerk.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a nurse and the claim that x is a writer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse or x is not a writer.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one y for which the claim that y is a politician and the claim that y will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a politician or y will not sleep.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one y for which the claim that y is an office clerk and the claim that y will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not an office clerk or y will not take a plane.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will climb a mountain nor x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain and x will not read a book.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one y_1 for which neither y_1 will cook nor y_1 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not cook and y_1 will not climb a mountain.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which the claim that z is poor and the claim that z is a musician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not poor or z is not a musician.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v will sleep nor v is excited. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not sleep and v is not excited.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w is a soldier and the claim that w will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a soldier or w will not play tennis.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which the claim that z will read a book and the claim that z is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not read a book or z is not an astronaut.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a server and the claim that x will listen to a song cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server or x will not listen to a song.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is fast and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast or x will not write a letter.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v is a soldier nor v is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a soldier and v is not a bartender.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x will take a plane and the claim that x is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane or x is not a janitor.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a scientist and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist or x will not play a game.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a bartender and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender or x will not play a game.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which the claim that w will play tennis and the claim that w is a musician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not play tennis or w is not a musician.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which the claim that z is curious and the claim that z is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not curious or z is not a server.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one y for which the claim that y is a writer and the claim that y is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a writer or y is not a nurse.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a cashier and the claim that x will drink water cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier or x will not drink water.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x is a cashier and the claim that x will work cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier or x will not work.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one y for which the claim that y will play a game and the claim that y will listen to a song cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play a game or y will not listen to a song.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will work nor x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work and x will not listen to a song.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x will work and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work or x will not read a book.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which neither w will play tennis nor w is fast. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not play tennis and w is not fast.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w for which neither w is a doctor nor w is a soldier. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a doctor and w is not a soldier.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v is a bartender nor v is a politician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a bartender and v is not a politician.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v will go running nor v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not go running and v will not play squash.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v_1 for which neither v_1 is a politician nor v_1 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is not a politician and v_1 is not a nurse.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x is an electrician nor x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician and x will not cook.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which the claim that z will write a letter and the claim that z will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not write a letter or z will not play a game.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which the claim that x will write a letter and the claim that x is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter or x is not a mechanic.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v_1 for which neither v_1 will play squash nor v_1 is excited. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will not play squash and v_1 is not excited.,yes
predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will play a game nor x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game and x will not play squash.,yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a taxi driver, then x is running. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver or x will go running.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a nurse or x will sleep. Can we infer the following from them? Answer yes or no: For all x, if x were a nurse, then x is sleeping.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not write a letter or x will cook. Can we infer the following from them? Answer yes or no: For all x, if x writes a letter, then x is cooking.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x plays a game, then x is poor. Can we infer the following from them? Answer yes or no: For all x, x will not play a game or x is poor.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x goes running, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will not go running or x will listen to a song.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all u, u will not take a plane or u will read a book. Can we infer the following from them? Answer yes or no: For all u, if u takes a plane, then u is reading a book.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not make tea or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is an electrician.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not rich or x will read a book. Can we infer the following from them? Answer yes or no: For all x, if x were rich, then x is reading a book.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a writer or x is sad. Can we infer the following from them? Answer yes or no: For all x, if x were a writer, then x is sad.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not excited or x is a writer. Can we infer the following from them? Answer yes or no: For all x, if x were excited, then x is a writer.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were rich, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x is not rich or x will write a letter.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not listen to a song or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is a janitor.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were bored, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x is not bored or x will play squash.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a musician, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x is not a musician or x will listen to a song.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not read a book or x will cook. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is cooking.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x sleeps, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will not sleep or x is a carpenter.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a politician, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x is not a politician or x will listen to a song.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x cooks, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will not cook or x is a scientist.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 were a server, then v_4 is reading a book. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not a server or v_4 will read a book.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a janitor, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor or x is a lawyer.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not read a book or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is driving a car.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all u, u will not play a game or u is curious. Can we infer the following from them? Answer yes or no: For all u, if u plays a game, then u is curious.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_1, if v_1 writes a letter, then v_1 is sleeping. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not write a letter or v_1 will sleep.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x cooks, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x will not cook or x will play squash.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not make tea or x is a poet. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is a poet.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x makes tea, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will not make tea or x is a sailor.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a nurse or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x were a nurse, then x is a mechanic.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a lawyer, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer or x is fast.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all u, u is not an astronaut or u is an office clerk. Can we infer the following from them? Answer yes or no: For all u, if u were an astronaut, then u is an office clerk.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not an astronaut or x will make tea. Can we infer the following from them? Answer yes or no: For all x, if x were an astronaut, then x is making tea.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a musician or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, if x were a musician, then x is writing a letter.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x plays squash, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, x will not play squash or x will play tennis.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a police officer, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer or x is a bartender.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not excited or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, if x were excited, then x is a nurse.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a janitor or x will read a book. Can we infer the following from them? Answer yes or no: For all x, if x were a janitor, then x is reading a book.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, z is not a server or z will play a game. Can we infer the following from them? Answer yes or no: For all z, if z were a server, then z is playing a game.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a poet or x is happy. Can we infer the following from them? Answer yes or no: For all x, if x were a poet, then x is happy.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a scientist, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist or x will play squash.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, z is not a cashier or z is an electrician. Can we infer the following from them? Answer yes or no: For all z, if z were a cashier, then z is an electrician.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a poet, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is not a poet or x is a scientist.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a janitor, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor or x is a mechanic.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x reads a book, then x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not read a book or x is bored.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 were an artist, then v_4 is playing squash. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not an artist or v_4 will play squash.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all u, u is not a cashier or u will take a plane. Can we infer the following from them? Answer yes or no: For all u, if u were a cashier, then u is taking a plane.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 were a sailor, then v_4 is drinking water. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not a sailor or v_4 will drink water.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a politician or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, if x were a politician, then x is playing tennis.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not an astronaut or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, if x were an astronaut, then x is an electrician.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a carpenter or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, if x were a carpenter, then x is a police officer.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, z will not go running or z is a cashier. Can we infer the following from them? Answer yes or no: For all z, if z goes running, then z is a cashier.",yes
predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 plays tennis, then v_4 is happy. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not play tennis or v_4 is happy.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will make tea and for all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x will sleep.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a taxi driver and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver and for all x, x will write a letter.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a mechanic or for all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic or x will cook.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will drive a car or for all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will drive a car or x will listen to a song.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a doctor or there is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor or x will play squash.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will cook and for all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will cook and x is a sailor.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will listen to a song and x is a server. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song and for all x, x is a server.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a janitor or there is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor or x will play tennis.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will drink water and for all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will drink water and x will work.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all y_2, y_2 will drink water or for all y_2, y_2 will listen to a song. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will drink water or y_2 will listen to a song.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all w_3, w_3 will go running and w_3 will work. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will go running and for all w_3, w_3 will work.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will go running and x will cook. Can we infer the following from them? Answer yes or no: For all x, x will go running and for all x, x will cook.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a lawyer or there is at least one x for which x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer or x is a writer.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will play squash and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash and there is at least one x for which x will drive a car.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will cook or there is at least one x for which x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook or x is bored.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will sleep and x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep and there is at least one x for which x is a janitor.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one z for which z will go running or z is a sailor. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running or there is at least one z for which z is a sailor.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will write a letter or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter or there is at least one x for which x will read a book.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a server and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a server and for all x, x is a doctor.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will play a game or there is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game or x is happy.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a carpenter or there is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter or x will read a book.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a server or there is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server or x will make tea.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x_2, x_2 will work and for all x_2, x_2 is a cashier. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will work and x_2 is a cashier.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is bored or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored or there is at least one x for which x will listen to a song.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one z_2 for which z_2 is rich and z_2 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is rich and there is at least one z_2 for which z_2 will listen to a song.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is fast or there is at least one x for which x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast or x is poor.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is an electrician or there is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician or x will sleep.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is an office clerk or there is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk or x will play a game.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a lawyer and for all x, x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer and x is an artist.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a lawyer or for all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer or x will climb a mountain.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will climb a mountain or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain or there is at least one x for which x will sleep.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all w_3, w_3 will read a book and w_3 is a police officer. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will read a book and for all w_3, w_3 is a police officer.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will play a game and for all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x will drink water.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will work and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work and there is at least one x for which x will play squash.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will cook and for all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will cook and x will climb a mountain.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a nurse or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse or there is at least one x for which x will sleep.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will work or there is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work or x is happy.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is happy and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy and there is at least one x for which x will play a game.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will take a plane or there is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane or x will climb a mountain.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will drink water or for all x, x is curious. Can we infer the following from them? Answer yes or no: For all x, x will drink water or x is curious.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will work or for all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will work or x is an office clerk.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a janitor or there is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor or x will go running.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will work or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work or there is at least one x for which x is an electrician.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is an astronaut or there is at least one x for which x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut or x is a police officer.,yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will climb a mountain and for all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain and x is a taxi driver.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is poor or for all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is poor or x is a taxi driver.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is sad and for all x, x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is sad and x is a police officer.",yes
predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will write a letter or for all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x is an office clerk.",yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: Some cashiers will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier and there is at least one x for which x will listen to a song.,yes
predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a police officer and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer and there is at least one x for which x will play squash.,yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x_3 for which if x_3 were an office clerk, then x_3 is an electrician and if x_3 were an electrician, then x_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is an office clerk if and only if x_3 is an electrician.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a police officer, then x is excited and if x were excited, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer if and only if x is excited.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x_3 for which if x_3 plays squash, then x_3 is reading a book and if x_3 reads a book, then x_3 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will play squash if and only if x_3 will read a book.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is making tea and if x makes tea, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse if and only if x will make tea.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is reading a book and if x reads a book, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook if and only if x will read a book.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v for which if v were a sailor, then v is sleeping and if v sleeps, then v is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a sailor if and only if v will sleep.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v_1 for which v_1 is rich if and only if v_1 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which if v_1 were rich, then v_1 is a doctor and if v_1 were a doctor, then v_1 is rich.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x_3 for which if x_3 climbs a mountain, then x_3 is playing tennis and if x_3 plays tennis, then x_3 is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will climb a mountain if and only if x_3 will play tennis.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will drink water if and only if x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x drinks water, then x is an electrician and if x were an electrician, then x is drinking water.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v for which if v were fast, then v is a soldier and if v were a soldier, then v is fast. Can we infer the following from them? Answer yes or no: There is at least one v for which v is fast if and only if v is a soldier.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 is an artist if and only if u_1 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which if u_1 were an artist, then u_1 is driving a car and if u_1 drives a car, then u_1 is an artist.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v for which if v works, then v is playing tennis and if v plays tennis, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work if and only if v will play tennis.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 is a poet if and only if u_1 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which if u_1 were a poet, then u_1 is listening to a song and if u_1 listens to a song, then u_1 is a poet.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is taking a plane and if x takes a plane, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game if and only if x will take a plane.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x drives a car, then x is an artist and if x were an artist, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car if and only if x is an artist.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x_3 for which if x_3 drinks water, then x_3 is fast and if x_3 were fast, then x_3 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will drink water if and only if x_3 is fast.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x reads a book, then x is writing a letter and if x writes a letter, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book if and only if x will write a letter.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will drive a car if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which if x drives a car, then x is listening to a song and if x listens to a song, then x is driving a car.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a writer, then x is an electrician and if x were an electrician, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer if and only if x is an electrician.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x works, then x is listening to a song and if x listens to a song, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work if and only if x will listen to a song.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will write a letter if and only if x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which if x writes a letter, then x is a poet and if x were a poet, then x is writing a letter.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a writer if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a writer, then x is sleeping and if x sleeps, then x is a writer.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were an artist, then x is listening to a song and if x listens to a song, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist if and only if x will listen to a song.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a sailor if and only if x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a sailor, then x is playing squash and if x plays squash, then x is a sailor.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is curious and if x were curious, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut if and only if x is curious.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v for which if v plays tennis, then v is a bartender and if v were a bartender, then v is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis if and only if v is a bartender.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will sleep if and only if x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which if x sleeps, then x is making tea and if x makes tea, then x is sleeping.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v_1 for which v_1 will drive a car if and only if v_1 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which if v_1 drives a car, then v_1 is a lawyer and if v_1 were a lawyer, then v_1 is driving a car.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is a bartender and if x were a bartender, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook if and only if x is a bartender.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were poor, then x is a soldier and if x were a soldier, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor if and only if x is a soldier.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x drinks water, then x is a soldier and if x were a soldier, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water if and only if x is a soldier.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v for which if v drives a car, then v is playing squash and if v plays squash, then v is driving a car. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drive a car if and only if v will play squash.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is an artist and if x were an artist, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic if and only if x is an artist.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will read a book if and only if x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which if x reads a book, then x is writing a letter and if x writes a letter, then x is reading a book.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a poet, then x is a nurse and if x were a nurse, then x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet if and only if x is a nurse.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 will drink water if and only if u_1 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which if u_1 drinks water, then u_1 is climbing a mountain and if u_1 climbs a mountain, then u_1 is drinking water.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a poet if and only if x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a poet, then x is a doctor and if x were a doctor, then x is a poet.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one v_1 for which v_1 will play squash if and only if v_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which if v_1 plays squash, then v_1 is playing a game and if v_1 plays a game, then v_1 is playing squash.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were an artist, then x is a writer and if x were a writer, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist if and only if x is a writer.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a server, then x is playing tennis and if x plays tennis, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server if and only if x will play tennis.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were excited, then x is drinking water and if x drinks water, then x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited if and only if x will drink water.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a politician, then x is taking a plane and if x takes a plane, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician if and only if x will take a plane.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will read a book if and only if x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which if x reads a book, then x is running and if x goes running, then x is reading a book.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is drinking water and if x drinks water, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game if and only if x will drink water.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were poor, then x is a writer and if x were a writer, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor if and only if x is a writer.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 will read a book if and only if u_1 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which if u_1 reads a book, then u_1 is writing a letter and if u_1 writes a letter, then u_1 is reading a book.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is an electrician if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an electrician, then x is listening to a song and if x listens to a song, then x is an electrician.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x_3 for which if x_3 were happy, then x_3 is an artist and if x_3 were an artist, then x_3 is happy. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is happy if and only if x_3 is an artist.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is drinking water and if x drinks water, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse if and only if x will drink water.",yes
predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x writes a letter, then x is playing a game and if x plays a game, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter if and only if x will play a game.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x listens to a song, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song or x will sleep.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not cook or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is happy.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not an office clerk or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an office clerk, then x is writing a letter.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not go running or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which if x goes running, then x is driving a car.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea or x will go running.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_2 for which if z_2 takes a plane, then z_2 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not take a plane or z_2 will read a book.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 is not a writer or z_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 were a writer, then z_3 is a soldier.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not play squash or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays squash, then x is cooking.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a doctor, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor or x is a mechanic.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a poet, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet or x is an artist.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one w for which if w were a janitor, then w is happy. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a janitor or w is happy.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which v is not a writer or v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which if v were a writer, then v is driving a car.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a carpenter, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter or x will read a book.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which v will not write a letter or v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which if v writes a letter, then v is driving a car.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one w for which w will not play tennis or w will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which if w plays tennis, then w is taking a plane.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not drink water or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which if x drinks water, then x is working.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not a musician or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a musician, then x is playing squash.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not a sailor or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a sailor, then x is a police officer.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier or x will cook.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x reads a book, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book or x will play squash.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 will not take a plane or z_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 takes a plane, then z_3 is sleeping.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which if y were curious, then y is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not curious or y will take a plane.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not bored or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were bored, then x is a police officer.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 will not work or z_3 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 works, then z_3 is a writer.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one w for which w will not play a game or w is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w for which if w plays a game, then w is a bartender.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 will not drink water or z_3 is a politician. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 drinks water, then z_3 is a politician.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which if y works, then y is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not work or y is a mechanic.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_2 for which if z_2 cooks, then z_2 is an artist. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not cook or z_2 is an artist.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier or x is an electrician.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 is not a taxi driver or z_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 were a taxi driver, then z_3 is an office clerk.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut or x will play tennis.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which v is not an electrician or v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which if v were an electrician, then v is running.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one w for which w is not a doctor or w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which if w were a doctor, then w is rich.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea or x will drink water.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x writes a letter, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter or x will play squash.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not an office clerk or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an office clerk, then x is cooking.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which v is not happy or v is a musician. Can we infer the following from them? Answer yes or no: There is at least one v for which if v were happy, then v is a musician.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not listen to a song or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which if x listens to a song, then x is drinking water.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which if v drinks water, then v is cooking. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not drink water or v will cook.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not play tennis or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays tennis, then x is a janitor.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_3 for which z_3 will not drive a car or z_3 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which if z_3 drives a car, then z_3 is a scientist.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not go running or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which if x goes running, then x is driving a car.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_2 for which if z_2 drinks water, then z_2 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not drink water or z_2 will play squash.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a lawyer, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer or x will climb a mountain.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_2 for which if z_2 drives a car, then z_2 is excited. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not drive a car or z_2 is excited.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z_2 for which if z_2 sleeps, then z_2 is excited. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not sleep or z_2 is excited.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which if v were a carpenter, then v is a server. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a carpenter or v is a server.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not cook or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is sleeping.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which if v were excited, then v is curious. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not excited or v is curious.",yes
predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which if v were a police officer, then v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a police officer or v is a taxi driver.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a musician, and x will play tennis and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is a musician and x will play tennis, and x will make tea.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a politician, and x will play squash and x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a politician and x will play squash, and x is a nurse.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will work, and x will sleep and x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will work and x will sleep, and x is a carpenter.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will make tea, and x will go running and x will work. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x will go running, and x will work.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all z, z will work, or z will drive a car or z will drink water. Can we infer the following from them? Answer yes or no: For all z, z will work or z will drive a car, or z will drink water.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play a game, or x is a sailor or x will work. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x is a sailor, or x will work.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will sleep, and x will go running and x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will sleep and x will go running, and x is a nurse.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a taxi driver, or x is a mechanic or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver or x is a mechanic, or x is a lawyer.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, and x will play a game and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x will play a game, and x will make tea.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, and x will drive a car and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x will drive a car, and x will go running.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 will play tennis, and w_2 is sad and w_2 will drink water. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will play tennis and w_2 is sad, and w_2 will drink water.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a cashier, or x is an office clerk or x is rich. Can we infer the following from them? Answer yes or no: For all x, x is a cashier or x is an office clerk, or x is rich.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will drive a car, or x will take a plane or x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will drive a car or x will take a plane, or x is a musician.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play squash, and x is an artist and x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will play squash and x is an artist, and x is a musician.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a bartender, and x is a musician and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a bartender and x is a musician, and x is a lawyer.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is rich, and x is a mechanic and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is rich and x is a mechanic, and x will drink water.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is bored, and x will take a plane and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is bored and x will take a plane, and x will drive a car.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a writer, and x is a lawyer and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is a writer and x is a lawyer, and x will listen to a song.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will listen to a song, or x will read a book or x is fast. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song or x will read a book, or x is fast.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will take a plane, or x is happy or x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will take a plane or x is happy, or x is a politician.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will go running, and x will play tennis and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will go running and x will play tennis, and x is a lawyer.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 will drink water, and w_2 is a carpenter and w_2 will listen to a song. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will drink water and w_2 is a carpenter, and w_2 will listen to a song.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play squash, or x will take a plane or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play squash or x will take a plane, or x will play a game.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will listen to a song, and x will work and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song and x will work, and x is a lawyer.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is fast, and x is excited and x will work. Can we infer the following from them? Answer yes or no: For all x, x is fast and x is excited, and x will work.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play a game, and x is a mechanic and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x is a mechanic, and x will play squash.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a poet, and x will play squash and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a poet and x will play squash, and x will take a plane.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a soldier, and x will listen to a song and x is fast. Can we infer the following from them? Answer yes or no: For all x, x is a soldier and x will listen to a song, and x is fast.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will make tea, or x is curious or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will make tea or x is curious, or x is a mechanic.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 is a scientist, and w_2 is a police officer and w_2 is a cashier. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is a scientist and w_2 is a police officer, and w_2 is a cashier.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a doctor, and x is rich and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a doctor and x is rich, and x will play squash.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a carpenter, and x will sleep and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter and x will sleep, and x will play squash.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will work, and x is a carpenter and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will work and x is a carpenter, and x is an office clerk.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a mechanic, and x will cook and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic and x will cook, and x will climb a mountain.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is an electrician, and x is an office clerk and x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an electrician and x is an office clerk, and x is an astronaut.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is sad, and x will make tea and x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is sad and x will make tea, and x will read a book.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 is an artist, and w_2 will write a letter and w_2 will drive a car. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is an artist and w_2 will write a letter, and w_2 will drive a car.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, or x will climb a mountain or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x will climb a mountain, or x will cook.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a doctor, and x is rich and x is poor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor and x is rich, and x is poor.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will work, or x will cook or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will work or x will cook, or x will play tennis.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all z, z will go running, or z will cook or z is a politician. Can we infer the following from them? Answer yes or no: For all z, z will go running or z will cook, or z is a politician.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will climb a mountain, or x will play a game or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain or x will play a game, or x will sleep.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, and x is excited and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x is excited, and x will climb a mountain.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 is rich, and w_2 will climb a mountain and w_2 will sleep. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is rich and w_2 will climb a mountain, and w_2 will sleep.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w_2, w_2 is poor, and w_2 is curious and w_2 is an astronaut. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is poor and w_2 is curious, and w_2 is an astronaut.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is happy, and x will read a book and x will go running. Can we infer the following from them? Answer yes or no: For all x, x is happy and x will read a book, and x will go running.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will listen to a song, and x will drink water and x will cook. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song and x will drink water, and x will cook.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will drink water, and x is an artist and x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will drink water and x is an artist, and x is a soldier.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is rich, and x will play tennis and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is rich and x will play tennis, and x is a sailor.",yes
predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play squash, and x is an office clerk and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will play squash and x is an office clerk, and x will listen to a song.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will listen to a song, and either z is an electrician or z is an artist. Can we infer the following from them? Answer yes or no: For all z, either z will listen to a song and z is an electrician, or z will listen to a song and z is an artist.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will climb a mountain, or z is a writer and z is a cashier. Can we infer the following from them? Answer yes or no: For all z, both z will climb a mountain or z is a writer and z will climb a mountain or z is a cashier are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will climb a mountain, and either z is an electrician or z is a nurse. Can we infer the following from them? Answer yes or no: For all z, either z will climb a mountain and z is an electrician, or z will climb a mountain and z is a nurse.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w_2, w_2 will play a game, or w_2 is a sailor and w_2 is excited. Can we infer the following from them? Answer yes or no: For all w_2, both w_2 will play a game or w_2 is a sailor and w_2 will play a game or w_2 is excited are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is an office clerk, or x is an electrician and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, both x is an office clerk or x is an electrician and x is an office clerk or x is a lawyer are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all u, u will play tennis, and either u is a doctor or u is a soldier. Can we infer the following from them? Answer yes or no: For all u, either u will play tennis and u is a doctor, or u will play tennis and u is a soldier.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will drive a car, and either x will cook or x will work. Can we infer the following from them? Answer yes or no: For all x, either x will drive a car and x will cook, or x will drive a car and x will work.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is an office clerk, or z is a mechanic and z is curious. Can we infer the following from them? Answer yes or no: For all z, both z is an office clerk or z is a mechanic and z is an office clerk or z is curious are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will read a book, or x will sleep and x is excited. Can we infer the following from them? Answer yes or no: For all x, both x will read a book or x will sleep and x will read a book or x is excited are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a scientist, and either x is fast or x is a server. Can we infer the following from them? Answer yes or no: For all x, either x is a scientist and x is fast, or x is a scientist and x is a server.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a police officer, and either z is a doctor or z is an astronaut. Can we infer the following from them? Answer yes or no: For all z, either z is a police officer and z is a doctor, or z is a police officer and z is an astronaut.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a cashier, or z is a musician and z will drink water. Can we infer the following from them? Answer yes or no: For all z, both z is a cashier or z is a musician and z is a cashier or z will drink water are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a doctor, and either x will play squash or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, either x is a doctor and x will play squash, or x is a doctor and x will climb a mountain.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a bartender, and either x is a writer or x is a musician. Can we infer the following from them? Answer yes or no: For all x, either x is a bartender and x is a writer, or x is a bartender and x is a musician.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will work, and either z will drink water or z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, either z will work and z will drink water, or z will work and z is a lawyer.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will make tea, and either x will climb a mountain or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, either x will make tea and x will climb a mountain, or x will make tea and x is a doctor.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_1, z_1 is a sailor, or z_1 is happy and z_1 is a carpenter. Can we infer the following from them? Answer yes or no: For all z_1, both z_1 is a sailor or z_1 is happy and z_1 is a sailor or z_1 is a carpenter are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y_4, y_4 is rich, or y_4 will play tennis and y_4 is fast. Can we infer the following from them? Answer yes or no: For all y_4, both y_4 is rich or y_4 will play tennis and y_4 is rich or y_4 is fast are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_4, z_4 will play a game, or z_4 is an artist and z_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all z_4, both z_4 will play a game or z_4 is an artist and z_4 will play a game or z_4 will climb a mountain are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will drink water, and either x will sleep or x is a server. Can we infer the following from them? Answer yes or no: For all x, either x will drink water and x will sleep, or x will drink water and x is a server.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is poor, or z is an astronaut and z will read a book. Can we infer the following from them? Answer yes or no: For all z, both z is poor or z is an astronaut and z is poor or z will read a book are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a janitor, and either z is bored or z is a poet. Can we infer the following from them? Answer yes or no: For all z, either z is a janitor and z is bored, or z is a janitor and z is a poet.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w, w will play a game, and either w is a lawyer or w will work. Can we infer the following from them? Answer yes or no: For all w, either w will play a game and w is a lawyer, or w will play a game and w will work.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y will sleep, and either y is a nurse or y is a janitor. Can we infer the following from them? Answer yes or no: For all y, either y will sleep and y is a nurse, or y will sleep and y is a janitor.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will go running, or z is a politician and z is a musician. Can we infer the following from them? Answer yes or no: For all z, both z will go running or z is a politician and z will go running or z is a musician are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w_2, w_2 will sleep, or w_2 is a taxi driver and w_2 will go running. Can we infer the following from them? Answer yes or no: For all w_2, both w_2 will sleep or w_2 is a taxi driver and w_2 will sleep or w_2 will go running are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w, w is a doctor, and either w is a musician or w is rich. Can we infer the following from them? Answer yes or no: For all w, either w is a doctor and w is a musician, or w is a doctor and w is rich.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y will sleep, and either y will make tea or y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, either y will sleep and y will make tea, or y will sleep and y is an office clerk.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is rich, or z will climb a mountain and z will drink water. Can we infer the following from them? Answer yes or no: For all z, both z is rich or z will climb a mountain and z is rich or z will drink water are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play a game, and either x will play squash or x will go running. Can we infer the following from them? Answer yes or no: For all x, either x will play a game and x will play squash, or x will play a game and x will go running.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play a game, and either x is an artist or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, either x will play a game and x is an artist, or x will play a game and x will take a plane.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play squash, and either x will cook or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, either x will play squash and x will cook, or x will play squash and x will write a letter.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a scientist, or z is curious and z is a soldier. Can we infer the following from them? Answer yes or no: For all z, both z is a scientist or z is curious and z is a scientist or z is a soldier are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is an astronaut, and either y will drink water or y is bored. Can we infer the following from them? Answer yes or no: For all y, either y is an astronaut and y will drink water, or y is an astronaut and y is bored.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a janitor, and either x is a mechanic or x will play a game. Can we infer the following from them? Answer yes or no: For all x, either x is a janitor and x is a mechanic, or x is a janitor and x will play a game.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y will take a plane, and either y will drive a car or y is an astronaut. Can we infer the following from them? Answer yes or no: For all y, either y will take a plane and y will drive a car, or y will take a plane and y is an astronaut.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will read a book, and either x is a bartender or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, either x will read a book and x is a bartender, or x will read a book and x will take a plane.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will work, or x is a server and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, both x will work or x is a server and x will work or x will climb a mountain are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w_2, w_2 will cook, or w_2 is a server and w_2 will play squash. Can we infer the following from them? Answer yes or no: For all w_2, both w_2 will cook or w_2 is a server and w_2 will cook or w_2 will play squash are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a politician, or z will go running and z is an office clerk. Can we infer the following from them? Answer yes or no: For all z, both z is a politician or z will go running and z is a politician or z is an office clerk are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w, w will make tea, and either w is a janitor or w is a bartender. Can we infer the following from them? Answer yes or no: For all w, either w will make tea and w is a janitor, or w will make tea and w is a bartender.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is an office clerk, or z is a soldier and z is fast. Can we infer the following from them? Answer yes or no: For all z, both z is an office clerk or z is a soldier and z is an office clerk or z is fast are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z will cook, or z is bored and z is a politician. Can we infer the following from them? Answer yes or no: For all z, both z will cook or z is bored and z will cook or z is a politician are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w_2, w_2 will make tea, or w_2 will sleep and w_2 is rich. Can we infer the following from them? Answer yes or no: For all w_2, both w_2 will make tea or w_2 will sleep and w_2 will make tea or w_2 is rich are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_4, z_4 will climb a mountain, or z_4 is a taxi driver and z_4 will write a letter. Can we infer the following from them? Answer yes or no: For all z_4, both z_4 will climb a mountain or z_4 is a taxi driver and z_4 will climb a mountain or z_4 will write a letter are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is an astronaut, and either y is a politician or y is rich. Can we infer the following from them? Answer yes or no: For all y, either y is an astronaut and y is a politician, or y is an astronaut and y is rich.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a writer, or z will take a plane and z will write a letter. Can we infer the following from them? Answer yes or no: For all z, both z is a writer or z will take a plane and z is a writer or z will write a letter are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all w, w is bored, and either w will write a letter or w is a nurse. Can we infer the following from them? Answer yes or no: For all w, either w is bored and w will write a letter, or w is bored and w is a nurse.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play tennis, or x is a janitor and x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, both x will play tennis or x is a janitor and x will play tennis or x is a taxi driver are true.",yes
predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is a musician, and either y will play a game or y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, either y is a musician and y will play a game, or y is a musician and y is a taxi driver.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is poor. Can we infer the following from them? Answer yes or no: For all u, u is poor.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z will write a letter.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_1, y_1 will cook. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will cook.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u will drink water. Can we infer the following from them? Answer yes or no: For all u, u will drink water.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_2, y_2 is a musician. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is a musician.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_2, y_2 is a doctor. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is a doctor.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z is a server. Can we infer the following from them? Answer yes or no: For all z, z is a server.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_2, y_2 is a politician. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is a politician.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a taxi driver.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x is poor.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z is an astronaut. Can we infer the following from them? Answer yes or no: For all z, z is an astronaut.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_1, y_1 is sad. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is sad.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is a carpenter. Can we infer the following from them? Answer yes or no: For all u, u is a carpenter.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will take a plane. Can we infer the following from them? Answer yes or no: For all z, z will take a plane.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y, y is a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is a lawyer.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is curious. Can we infer the following from them? Answer yes or no: For all x, x is curious.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_1, y_1 is a bartender. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a bartender.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all w, w will read a book. Can we infer the following from them? Answer yes or no: For all w, w will read a book.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will take a plane. Can we infer the following from them? Answer yes or no: For all z, z will take a plane.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all w, w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w will take a plane.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_1, y_1 is a writer. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a writer.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is curious. Can we infer the following from them? Answer yes or no: For all u, u is curious.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will work.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will play squash.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y_1, y_1 will sleep. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will sleep.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x will go running.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is a musician. Can we infer the following from them? Answer yes or no: For all u, u is a musician.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z will drink water. Can we infer the following from them? Answer yes or no: For all z, z will drink water.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: For all x, x is rich.",yes
predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z is an electrician. Can we infer the following from them? Answer yes or no: For all z, z is an electrician.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a taxi driver or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x is a taxi driver.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w is a politician or w will read a book. Can we infer the following from them? Answer yes or no: For all w, w will read a book or w is a politician.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_2, v_2 will sleep or v_2 will drive a car. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will drive a car or v_2 will sleep.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x_1, x_1 will play squash and x_1 will go running. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will go running and x_1 will play squash.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will play squash and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is a politician and x will play squash.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 is a poet and y_3 will play squash. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play squash and y_3 is a poet.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w is a sailor or w is a lawyer. Can we infer the following from them? Answer yes or no: For all w, w is a lawyer or w is a sailor.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will go running or w will play tennis. Can we infer the following from them? Answer yes or no: For all w, w will play tennis or w will go running.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is rich and x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server and x is rich.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will go running or w is excited. Can we infer the following from them? Answer yes or no: For all w, w is excited or w will go running.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y, y will write a letter or y will sleep. Can we infer the following from them? Answer yes or no: For all y, y will sleep or y will write a letter.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will take a plane and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor and x will take a plane.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will read a book or w will go running. Can we infer the following from them? Answer yes or no: For all w, w will go running or w will read a book.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will play squash and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x will play squash.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a mechanic and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane and x is a mechanic.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will make tea and x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server and x will make tea.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_2, v_2 is a nurse or v_2 is a lawyer. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is a lawyer or v_2 is a nurse.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w_4, w_4 is a musician or w_4 will work. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will work or w_4 is a musician.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x_1, x_1 is an artist and x_1 is a police officer. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a police officer and x_1 is an artist.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w is a doctor or w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w is a taxi driver or w is a doctor.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w_4, w_4 will drink water or w_4 is a politician. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a politician or w_4 will drink water.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_2, v_2 will play tennis or v_2 will listen to a song. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will listen to a song or v_2 will play tennis.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 will write a letter and y_3 is a writer. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a writer and y_3 will write a letter.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x_1, x_1 is rich and x_1 is excited. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is excited and x_1 is rich.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will cook or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver or x will cook.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w_4, w_4 is sad or w_4 will work. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will work or w_4 is sad.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 is an artist and y_3 is a musician. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a musician and y_3 is an artist.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is bored or x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist or x is bored.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y, y will drink water or y will play a game. Can we infer the following from them? Answer yes or no: For all y, y will play a game or y will drink water.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is happy or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car or x is happy.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x_1, x_1 will sleep and x_1 will read a book. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will read a book and x_1 will sleep.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a politician and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x is a politician.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a carpenter or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician or x is a carpenter.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a lawyer or x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad or x is a lawyer.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y, y will go running or y will read a book. Can we infer the following from them? Answer yes or no: For all y, y will read a book or y will go running.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is bored or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a scientist or x is bored.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will play squash and x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender and x will play squash.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all u, u will write a letter and u is a mechanic. Can we infer the following from them? Answer yes or no: For all u, u is a mechanic and u will write a letter.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will take a plane and x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a police officer and x will take a plane.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 is an artist and y_3 is poor. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is poor and y_3 is an artist.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a police officer and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane and x is a police officer.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 will make tea and y_3 will play tennis. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play tennis and y_3 will make tea.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all u, u will play tennis and u will sleep. Can we infer the following from them? Answer yes or no: For all u, u will sleep and u will play tennis.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will cook or x is rich. Can we infer the following from them? Answer yes or no: For all x, x is rich or x will cook.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will listen to a song or w is an artist. Can we infer the following from them? Answer yes or no: For all w, w is an artist or w will listen to a song.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will drink water or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x will drink water.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will sleep or w will play tennis. Can we infer the following from them? Answer yes or no: For all w, w will play tennis or w will sleep.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will write a letter and x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender and x will write a letter.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will climb a mountain and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x will climb a mountain.",yes
predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all y_3, y_3 is poor and y_3 is rich. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is rich and y_3 is poor.",yes
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 is a poet, and either w_4 is a lawyer or w_4 will play squash. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a poet and w_4 is a lawyer nor w_4 is a poet and w_4 will play squash.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 will drink water, and either w_4 is an astronaut or w_4 is sad. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 will drink water and w_4 is an astronaut nor w_4 will drink water and w_4 is sad.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will go running, and either x will make tea or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x will go running and x will make tea nor x will go running and x will climb a mountain.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one z for which z will read a book, or z is a poet and z is an electrician. Can we infer the following from them? Answer yes or no: For all z, the claim that z will read a book or z is a poet and the claim that z will read a book or z is an electrician cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water, and either x is an astronaut or x is a musician. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water and x is an astronaut nor x will drink water and x is a musician.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song, or x will cook and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, the claim that x will listen to a song or x will cook and the claim that x will listen to a song or x is a sailor cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 is a server, or v_1 will work and v_1 will play squash. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 is a server or v_1 will work and the claim that v_1 is a server or v_1 will play squash cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 is a mechanic, and either w_4 is a soldier or w_4 will read a book. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a mechanic and w_4 is a soldier nor w_4 is a mechanic and w_4 will read a book.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song, and either x is a sailor or x will read a book. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song and x is a sailor nor x will listen to a song and x will read a book.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a writer, and either x is curious or x will work. Can we infer the following from them? Answer yes or no: For all x, neither x is a writer and x is curious nor x is a writer and x will work.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will cook, and either x will drink water or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, neither x will cook and x will drink water nor x will cook and x will play tennis.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 will read a book, or v_1 is an astronaut and v_1 will drink water. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 will read a book or v_1 is an astronaut and the claim that v_1 will read a book or v_1 will drink water cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some doctors will go running or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x is a doctor and x will go running nor x is a doctor and x will climb a mountain.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is happy, and either x will play tennis or x is rich. Can we infer the following from them? Answer yes or no: For all x, neither x is happy and x will play tennis nor x is happy and x is rich.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will make tea, or x will climb a mountain and x is happy. Can we infer the following from them? Answer yes or no: For all x, the claim that x will make tea or x will climb a mountain and the claim that x will make tea or x is happy cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane, or x will cook and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the claim that x will take a plane or x will cook and the claim that x will take a plane or x will listen to a song cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will play tennis, and either x will make tea or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis and x will make tea nor x will play tennis and x will climb a mountain.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will cook, and either x is an office clerk or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, neither x will cook and x is an office clerk nor x will cook and x will listen to a song.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book, and either x will write a letter or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, neither x will read a book and x will write a letter nor x will read a book and x will take a plane.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is an electrician, or x will play tennis and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the claim that x is an electrician or x will play tennis and the claim that x is an electrician or x will listen to a song cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain, and either x is a police officer or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will climb a mountain and x is a police officer nor x will climb a mountain and x will sleep.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will play tennis, and either x is a mechanic or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis and x is a mechanic nor x will play tennis and x will drive a car.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a janitor, and either x is poor or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, neither x is a janitor and x is poor nor x is a janitor and x will listen to a song.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a cashier, or x will sleep and x is happy. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a cashier or x will sleep and the claim that x is a cashier or x is happy cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some poets will sleep or w_4 will write a letter. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a poet and w_4 will sleep nor w_4 is a poet and w_4 will write a letter.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a cashier, and either x is excited or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x is a cashier and x is excited nor x is a cashier and x will drive a car.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep, or x is an office clerk and x will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that x will sleep or x is an office clerk and the claim that x will sleep or x will play a game cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some politicians will climb a mountain or w_4 is happy. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a politician and w_4 will climb a mountain nor w_4 is a politician and w_4 is happy.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a nurse, or x will take a plane and x will drink water. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a nurse or x will take a plane and the claim that x is a nurse or x will drink water cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is an office clerk, and either x will play a game or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x is an office clerk and x will play a game nor x is an office clerk and x will climb a mountain.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will work, or x is an office clerk and x will sleep. Can we infer the following from them? Answer yes or no: For all x, the claim that x will work or x is an office clerk and the claim that x will work or x will sleep cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 is fast, or v_1 is bored and v_1 is a bartender. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 is fast or v_1 is bored and the claim that v_1 is fast or v_1 is a bartender cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one z for which z will play a game, and either z is poor or z is bored. Can we infer the following from them? Answer yes or no: For all z, neither z will play a game and z is poor nor z will play a game and z is bored.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a lawyer, or x will play tennis and x will play squash. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a lawyer or x will play tennis and the claim that x is a lawyer or x will play squash cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 will cook, and either w_4 will go running or w_4 will work. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 will cook and w_4 will go running nor w_4 will cook and w_4 will work.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is rich, and either x will listen to a song or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x is rich and x will listen to a song nor x is rich and x will sleep.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some musicians will sleep or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, neither x is a musician and x will sleep nor x is a musician and x is an astronaut.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will cook, and either x is sad or x will drink water. Can we infer the following from them? Answer yes or no: For all x, neither x will cook and x is sad nor x will cook and x will drink water.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some bartenders will play tennis or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x is a bartender and x will play tennis nor x is a bartender and x will cook.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will make tea, and either x will climb a mountain or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea and x will climb a mountain nor x will make tea and x is a sailor.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane, or x is a carpenter and x will work. Can we infer the following from them? Answer yes or no: For all x, the claim that x will take a plane or x is a carpenter and the claim that x will take a plane or x will work cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 will climb a mountain, or v_1 is rich and v_1 is an astronaut. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 will climb a mountain or v_1 is rich and the claim that v_1 will climb a mountain or v_1 is an astronaut cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will drive a car, and either x is a soldier or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will drive a car and x is a soldier nor x will drive a car and x will sleep.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will work, or x will go running and x is a writer. Can we infer the following from them? Answer yes or no: For all x, the claim that x will work or x will go running and the claim that x will work or x is a writer cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one z for which z will play tennis, or z will sleep and z is a nurse. Can we infer the following from them? Answer yes or no: For all z, the claim that z will play tennis or z will sleep and the claim that z will play tennis or z is a nurse cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain, or x is a lawyer and x is curious. Can we infer the following from them? Answer yes or no: For all x, the claim that x will climb a mountain or x is a lawyer and the claim that x will climb a mountain or x is curious cannot both be true.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is an electrician, and either x will write a letter or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, neither x is an electrician and x will write a letter nor x is an electrician and x is a doctor.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 is a writer, and either w_4 is a lawyer or w_4 will read a book. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a writer and w_4 is a lawyer nor w_4 is a writer and w_4 will read a book.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will go running, and either x is a cashier or x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will go running and x is a cashier nor x will go running and x will play squash.",no
predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some politicians will work or w_4 is a server. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is a politician and w_4 will work nor w_4 is a politician and w_4 is a server.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x sleeps, then x is a taxi driver and if x were a taxi driver, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will sleep if and only if x is a taxi driver.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will drive a car if and only if y is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y drives a car, then y is a carpenter and the claim that if y were a carpenter, then y is driving a car cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z, if z works, then z is driving a car and if z drives a car, then z is working. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will work if and only if z will drive a car.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were rich, then x is a taxi driver and if x were a taxi driver, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is rich if and only if x is a taxi driver.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will drive a car if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x drives a car, then x is listening to a song and the claim that if x listens to a song, then x is driving a car cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will play squash if and only if x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x plays squash, then x is cooking and the claim that if x cooks, then x is playing squash cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y is sad if and only if y is a politician. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y were sad, then y is a politician and the claim that if y were a politician, then y is sad cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x works, then x is a janitor and if x were a janitor, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will work if and only if x is a janitor.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, if y were fast, then y is a taxi driver and if y were a taxi driver, then y is fast. Can we infer the following from them? Answer yes or no: There is at least one y for which it is not true that y is fast if and only if y is a taxi driver.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will cook if and only if x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x cooks, then x is making tea and the claim that if x makes tea, then x is cooking cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will go running if and only if y is excited. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y goes running, then y is excited and the claim that if y were excited, then y is running cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a cashier, then x is poor and if x were poor, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a cashier if and only if x is poor.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x works, then x is rich and if x were rich, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will work if and only if x is rich.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a bartender if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were a bartender, then x is a lawyer and the claim that if x were a lawyer, then x is a bartender cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will read a book if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x reads a book, then x is an office clerk and the claim that if x were an office clerk, then x is reading a book cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a soldier if and only if x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were a soldier, then x is reading a book and the claim that if x reads a book, then x is a soldier cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, if y climbs a mountain, then y is a poet and if y were a poet, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one y for which it is not true that y will climb a mountain if and only if y is a poet.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is listening to a song and if x listens to a song, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will write a letter if and only if x will listen to a song.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will work if and only if x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x works, then x is cooking and the claim that if x cooks, then x is working cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y is a taxi driver if and only if y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y were a taxi driver, then y is running and the claim that if y goes running, then y is a taxi driver cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is bored if and only if x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were bored, then x is a scientist and the claim that if x were a scientist, then x is bored cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will drink water if and only if x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x drinks water, then x is writing a letter and the claim that if x writes a letter, then x is drinking water cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a server, then x is poor and if x were poor, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a server if and only if x is poor.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x goes running, then x is making tea and if x makes tea, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will go running if and only if x will make tea.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is playing squash and if x plays squash, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will play tennis if and only if x will play squash.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will listen to a song if and only if x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x listens to a song, then x is running and the claim that if x goes running, then x is listening to a song cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a sailor, then x is climbing a mountain and if x climbs a mountain, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a sailor if and only if x will climb a mountain.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v is curious if and only if v is a writer. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v were curious, then v is a writer and the claim that if v were a writer, then v is curious cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will write a letter if and only if y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y writes a letter, then y is running and the claim that if y goes running, then y is writing a letter cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a police officer, then x is playing a game and if x plays a game, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a police officer if and only if x will play a game.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v is a soldier if and only if v will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v were a soldier, then v is taking a plane and the claim that if v takes a plane, then v is a soldier cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a scientist if and only if x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were a scientist, then x is making tea and the claim that if x makes tea, then x is a scientist cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z, if z plays squash, then z is a politician and if z were a politician, then z is playing squash. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will play squash if and only if z is a politician.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is excited if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were excited, then x is a lawyer and the claim that if x were a lawyer, then x is excited cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a mechanic if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were a mechanic, then x is a lawyer and the claim that if x were a lawyer, then x is a mechanic cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z, if z drinks water, then z is rich and if z were rich, then z is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will drink water if and only if z is rich.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a police officer, then x is working and if x works, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a police officer if and only if x will work.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a lawyer if and only if x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were a lawyer, then x is an astronaut and the claim that if x were an astronaut, then x is a lawyer cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will make tea if and only if x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x makes tea, then x is excited and the claim that if x were excited, then x is making tea cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will cook if and only if y is bored. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y cooks, then y is bored and the claim that if y were bored, then y is cooking cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z, if z drinks water, then z is playing a game and if z plays a game, then z is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will drink water if and only if z will play a game.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, if y were sad, then y is climbing a mountain and if y climbs a mountain, then y is sad. Can we infer the following from them? Answer yes or no: There is at least one y for which it is not true that y is sad if and only if y will climb a mountain.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x plays a game, then x is driving a car and if x drives a car, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will play a game if and only if x will drive a car.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were a politician, then x is reading a book and if x reads a book, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a politician if and only if x will read a book.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will play squash if and only if y will sleep. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y plays squash, then y is sleeping and the claim that if y sleeps, then y is playing squash cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will cook if and only if y will play tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y cooks, then y is playing tennis and the claim that if y plays tennis, then y is cooking cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v is poor if and only if v is a police officer. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v were poor, then v is a police officer and the claim that if v were a police officer, then v is poor cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is sad if and only if x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that if x were sad, then x is an astronaut and the claim that if x were an astronaut, then x is sad cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will work if and only if y will play tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y works, then y is playing tennis and the claim that if y plays tennis, then y is working cannot both be true.",no
predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z, if z sleeps, then z is cooking and if z cooks, then z is sleeping. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will sleep if and only if z will cook.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y is poor or y is poor. Can we infer the following from them? Answer yes or no: For all y, y is not poor.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w will drink water or w will drink water. Can we infer the following from them? Answer yes or no: For all w, w will not drink water.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y will listen to a song or y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y will not listen to a song.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 will play a game and u_1 will play a game. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not play a game.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some nurses are nurses. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is not a nurse.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some cashiers are cashiers. Can we infer the following from them? Answer yes or no: For all u_1, u_1 is not a cashier.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one z for which z is an electrician or z is an electrician. Can we infer the following from them? Answer yes or no: For all z, z is not an electrician.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one v_2 for which v_2 will sleep and v_2 will sleep. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will not sleep.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is a taxi driver or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one v for which v will make tea and v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will not make tea.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some sailors are sailors. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is not a sailor.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is a sailor or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one v for which v is an artist and v is an artist. Can we infer the following from them? Answer yes or no: For all v, v is not an artist.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w will go running or w will go running. Can we infer the following from them? Answer yes or no: For all w, w will not go running.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will go running or x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y is curious or y is curious. Can we infer the following from them? Answer yes or no: For all y, y is not curious.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y is sad or y is sad. Can we infer the following from them? Answer yes or no: For all y, y is not sad.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some nurses are nurses. Can we infer the following from them? Answer yes or no: For all x, x is not a nurse.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 is happy and u_1 is happy. Can we infer the following from them? Answer yes or no: For all u_1, u_1 is not happy.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y will drink water or y will drink water. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w is a carpenter or w is a carpenter. Can we infer the following from them? Answer yes or no: For all w, w is not a carpenter.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y will go running or y will go running. Can we infer the following from them? Answer yes or no: For all y, y will not go running.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some scientists are scientists. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is bored and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w will go running or w will go running. Can we infer the following from them? Answer yes or no: For all w, w will not go running.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 will drive a car and u_1 will drive a car. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not drive a car.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one v for which v will take a plane and v will take a plane. Can we infer the following from them? Answer yes or no: For all v, v will not take a plane.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w is bored or w is bored. Can we infer the following from them? Answer yes or no: For all w, w is not bored.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is a politician or x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is fast and x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one v_2 for which v_2 will work and v_2 will work. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will not work.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will cook or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is excited or x is excited. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w is happy or w is happy. Can we infer the following from them? Answer yes or no: For all w, w is not happy.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w is a poet or w is a poet. Can we infer the following from them? Answer yes or no: For all w, w is not a poet.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w will play squash or w will play squash. Can we infer the following from them? Answer yes or no: For all w, w will not play squash.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w for which w will drive a car or w will drive a car. Can we infer the following from them? Answer yes or no: For all w, w will not drive a car.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is an electrician and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one z for which z will make tea or z will make tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will play squash and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some scientists are scientists. Can we infer the following from them? Answer yes or no: For all v, v is not a scientist.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is sad and x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some lawyers are lawyers. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y is fast or y is fast. Can we infer the following from them? Answer yes or no: For all y, y is not fast.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will go running and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one z for which z will listen to a song or z will listen to a song. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",no
predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will play a game and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x is a soldier. Can we infer the following from them? Answer yes or no: Not for all x, x is not a soldier.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x will go running. Can we infer the following from them? Answer yes or no: Not for all x, x will not go running.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all x, x will not make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one w for which w is not a police officer. Can we infer the following from them? Answer yes or no: For all w, w is a police officer.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is a carpenter. Can we infer the following from them? Answer yes or no: There is no x for which x is not a carpenter.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x is a taxi driver. Can we infer the following from them? Answer yes or no: Not for all x, x is not a taxi driver.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x will drive a car. Can we infer the following from them? Answer yes or no: Not for all x, x will not drive a car.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no z_4 for which z_4 is sad. Can we infer the following from them? Answer yes or no: Not for all z_4, z_4 is not sad.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one w for which w is not bored. Can we infer the following from them? Answer yes or no: For all w, w is bored.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y_3, y_3 is a writer. Can we infer the following from them? Answer yes or no: There is no y_3 for which y_3 is not a writer.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is an artist. Can we infer the following from them? Answer yes or no: There is no x for which x is not an artist.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all v, v will sleep. Can we infer the following from them? Answer yes or no: There is no v for which v will not sleep.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all x, x is not a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one u for which u is not a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a taxi driver.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all z, z is not a soldier. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a soldier.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one v_2 for which v_2 is not an astronaut. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is an astronaut.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x is not a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is an astronaut. Can we infer the following from them? Answer yes or no: There is no x for which x is not an astronaut.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x will not drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x is not an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y_3, y_3 is happy. Can we infer the following from them? Answer yes or no: There is no y_3 for which y_3 is not happy.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all w, w is not rich. Can we infer the following from them? Answer yes or no: There is at least one w for which w is rich.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x will not work. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no y_1 for which y_1 is a doctor. Can we infer the following from them? Answer yes or no: Not for all y_1, y_1 is not a doctor.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one w for which w will not play tennis. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is an electrician. Can we infer the following from them? Answer yes or no: There is no x for which x is not an electrician.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no y_1 for which y_1 is a nurse. Can we infer the following from them? Answer yes or no: Not for all y_1, y_1 is not a nurse.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all v, v is a lawyer. Can we infer the following from them? Answer yes or no: There is no v for which v is not a lawyer.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x will sleep. Can we infer the following from them? Answer yes or no: There is no x for which x will not sleep.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is a carpenter. Can we infer the following from them? Answer yes or no: There is no x for which x is not a carpenter.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x is a nurse. Can we infer the following from them? Answer yes or no: Not for all x, x is not a nurse.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all x, x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x_4 for which x_4 will play squash. Can we infer the following from them? Answer yes or no: Not for all x_4, x_4 will not play squash.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x will not go running. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one x for which x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one v_2 for which v_2 is not poor. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is poor.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no y_1 for which y_1 will play squash. Can we infer the following from them? Answer yes or no: Not for all y_1, y_1 will not play squash.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all x, x will not read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all w, w is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an office clerk.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x will make tea. Can we infer the following from them? Answer yes or no: There is no x for which x will not make tea.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y_3, y_3 is sad. Can we infer the following from them? Answer yes or no: There is no y_3 for which y_3 is not sad.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x will read a book. Can we infer the following from them? Answer yes or no: Not for all x, x will not read a book.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no u_4 for which u_4 will sleep. Can we infer the following from them? Answer yes or no: Not for all u_4, u_4 will not sleep.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is no x for which x will not play tennis.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is a musician. Can we infer the following from them? Answer yes or no: There is no x for which x is not a musician.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all y, y is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a mechanic.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is at least one w for which w will not go running. Can we infer the following from them? Answer yes or no: For all w, w will go running.",no
predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no u_4 for which u_4 is bored. Can we infer the following from them? Answer yes or no: Not for all u_4, u_4 is not bored.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will cook or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_1, y_1 will write a letter or y_1 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not write a letter.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will read a book and u will read a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not read a book.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is a sailor and x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z_3, z_3 will read a book or z_3 will read a book. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not read a book.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u_1, u_1 will sleep and u_1 will sleep. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will not sleep.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z_3, z_3 will go running or z_3 will go running. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not go running.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all v, v will drive a car and v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not drive a car.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y, y will play squash and y will play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play squash.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is a sailor or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is a carpenter or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_1, y_1 is a doctor and y_1 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a doctor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_1, w_1 is a musician or w_1 is a musician. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a musician.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_2, y_2 is poor or y_2 is poor. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is not poor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z, z is an astronaut and z is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not an astronaut.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will climb a mountain or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is an artist and x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_1, y_1 is a sailor and y_1 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a sailor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_2, y_2 will cook or y_2 will cook. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will not cook.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will sleep and u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not sleep.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is a police officer and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z_3, z_3 will write a letter or z_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not write a letter.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z_3, z_3 will drink water or z_3 will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not drink water.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will play tennis and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_1, w_1 is a cashier or w_1 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a cashier.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_2, y_2 is a police officer or y_2 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is not a police officer.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z, z is happy and z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not happy.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u_1, u_1 will drive a car and u_1 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will not drive a car.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will climb a mountain and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is bored and x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z, z will write a letter and z will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not write a letter.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u_1, u_1 will read a book and u_1 will read a book. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will not read a book.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_1, w_1 is a server or w_1 is a server. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a server.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_1, y_1 is a musician or y_1 is a musician. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a musician.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is a taxi driver and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a taxi driver.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is poor or x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u is bored and u is bored. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not bored.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all v, v will go running and v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not go running.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all v, v is a lawyer and v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a lawyer.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will drink water or u will drink water. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not drink water.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w, w will read a book or w will read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not read a book.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u is happy or u is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not happy.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y, y is a soldier and y is a soldier. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a soldier.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z_3, z_3 is a writer or z_3 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is not a writer.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will play tennis and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is an artist or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_2, y_2 is rich or y_2 is rich. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is not rich.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will play squash or u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not play squash.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is excited or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",no
predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_1, y_1 is a bartender or y_1 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a bartender.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If James climbs a mountain, then for all x, x will listen to a song. Can we infer the following from them? Answer yes or no: Not for all x, if James climbs a mountain, then x is listening to a song.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Thomas cooks, then there is at least one v_1 for which v_1 is sad. Can we infer the following from them? Answer yes or no: There is no v_1 for which if Thomas cooks, then v_1 is sad.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all z, z will make tea, then Mary is a doctor. Can we infer the following from them? Answer yes or no: There is no z for which if z makes tea, then Mary is a doctor.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Susan plays squash, then there is at least one u for which u will make tea. Can we infer the following from them? Answer yes or no: There is no u for which if Susan plays squash, then u is making tea.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is windy, then for all x, x is a soldier. Can we infer the following from them? Answer yes or no: Not for all x, if it is windy, then x is a soldier.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Susan were a scientist, then there is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is no x for which if Susan were a scientist, then x is sleeping.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x is rich, then Michael is a soldier. Can we infer the following from them? Answer yes or no: Not for all x, if x were rich, then Michael is a soldier.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all x, if Karen were a carpenter, then x is an artist. Can we infer the following from them? Answer yes or no: The fact that Karen were a carpenter does not imply that for all x, x is an artist.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it rains, then for all x, x is curious. Can we infer the following from them? Answer yes or no: Not for all x, if it rains, then x is curious.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is overcast, then there is at least one v_4 for which v_4 is a mechanic. Can we infer the following from them? Answer yes or no: There is no v_4 for which if it is overcast, then v_4 is a mechanic.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all y, if it rains, then y is making tea. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that for all y, y will make tea.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x is an astronaut, then it is windy. Can we infer the following from them? Answer yes or no: There is no x for which if x were an astronaut, then it is windy.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all y, if it is windy, then y is a doctor. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that for all y, y is a doctor.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all x, if Susan takes a plane, then x is a soldier. Can we infer the following from them? Answer yes or no: The fact that Susan takes a plane does not imply that for all x, x is a soldier.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x will work, then William is an office clerk. Can we infer the following from them? Answer yes or no: There is no x for which if x works, then William is an office clerk.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Patricia cooks, then for all x, x will write a letter. Can we infer the following from them? Answer yes or no: Not for all x, if Patricia cooks, then x is writing a letter.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all w, if it is windy, then w is a musician. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that for all w, w is a musician.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x will drink water, then Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Not for all x, if x drinks water, then Patricia is a mechanic.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x will drive a car, then it is cold. Can we infer the following from them? Answer yes or no: There is no x for which if x drives a car, then it is cold.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all y, if Susan were an electrician, then y is listening to a song. Can we infer the following from them? Answer yes or no: The fact that Susan were an electrician does not imply that for all y, y will listen to a song.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all z, if it snows, then z is a server. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that for all z, z is a server.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Joseph were a sailor, then for all x, x is a soldier. Can we infer the following from them? Answer yes or no: Not for all x, if Joseph were a sailor, then x is a soldier.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is overcast, then for all x, x will drink water. Can we infer the following from them? Answer yes or no: Not for all x, if it is overcast, then x is drinking water.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if it is windy, then x is a musician. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that there is at least one x for which x is a musician.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all y, if Sarah cooks, then y is a musician. Can we infer the following from them? Answer yes or no: The fact that Sarah cooks does not imply that for all y, y is a musician.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x will take a plane, then Barbara is a lawyer. Can we infer the following from them? Answer yes or no: Not for all x, if x takes a plane, then Barbara is a lawyer.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one v_1 for which v_1 is rich, then Patricia is taking a plane. Can we infer the following from them? Answer yes or no: Not for all v_1, if v_1 were rich, then Patricia is taking a plane.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x is a mechanic, then Susan is cooking. Can we infer the following from them? Answer yes or no: Not for all x, if x were a mechanic, then Susan is cooking.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x is a mechanic, then it is cloudy. Can we infer the following from them? Answer yes or no: Not for all x, if x were a mechanic, then it is cloudy.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Linda sleeps, then there is at least one u for which u will drive a car. Can we infer the following from them? Answer yes or no: There is no u for which if Linda sleeps, then u is driving a car.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all y, if Joseph were a sailor, then y is driving a car. Can we infer the following from them? Answer yes or no: The fact that Joseph were a sailor does not imply that for all y, y will drive a car.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If John climbs a mountain, then for all x, x will write a letter. Can we infer the following from them? Answer yes or no: Not for all x, if John climbs a mountain, then x is writing a letter.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is cold, then for all x, x is an office clerk. Can we infer the following from them? Answer yes or no: Not for all x, if it is cold, then x is an office clerk.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all z, if Barbara listens to a song, then z is an astronaut. Can we infer the following from them? Answer yes or no: The fact that Barbara listens to a song does not imply that for all z, z is an astronaut.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if John were a politician, then x is playing squash. Can we infer the following from them? Answer yes or no: The fact that John were a politician does not imply that there is at least one x for which x will play squash.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if Robert climbs a mountain, then x is playing a game. Can we infer the following from them? Answer yes or no: The fact that Robert climbs a mountain does not imply that there is at least one x for which x will play a game.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is late, then there is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is no x for which if it is late, then x is playing tennis.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Mary climbs a mountain, then there is at least one v_4 for which v_4 is a janitor. Can we infer the following from them? Answer yes or no: There is no v_4 for which if Mary climbs a mountain, then v_4 is a janitor.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if it is cloudy, then x is a police officer. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that there is at least one x for which x is a police officer.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x is a scientist, then John is playing tennis. Can we infer the following from them? Answer yes or no: There is no x for which if x were a scientist, then John is playing tennis.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all x, if it is sunny, then x is a writer. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that for all x, x is a writer.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one w for which w will cook, then it is raining. Can we infer the following from them? Answer yes or no: Not for all w, if w cooks, then it is raining.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if Michael were excited, then x is reading a book. Can we infer the following from them? Answer yes or no: The fact that Michael were excited does not imply that there is at least one x for which x will read a book.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x will cook, then Linda is poor. Can we infer the following from them? Answer yes or no: There is no x for which if x cooks, then Linda is poor.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x will drive a car, then it is cloudy. Can we infer the following from them? Answer yes or no: There is no x for which if x drives a car, then it is cloudy.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all z, if it is sunny, then z is happy. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that for all z, z is happy.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if John were a doctor, then x is poor. Can we infer the following from them? Answer yes or no: The fact that John were a doctor does not imply that there is at least one x for which x is poor.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all x, if Karen drives a car, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: The fact that Karen drives a car does not imply that for all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if it is overcast, then x is excited. Can we infer the following from them? Answer yes or no: The fact that it is overcast does not imply that there is at least one x for which x is excited.",no
predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if Susan takes a plane, then x is excited. Can we infer the following from them? Answer yes or no: The fact that Susan takes a plane does not imply that there is at least one x for which x is excited.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v is not a doctor.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 will cook. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will not cook.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w is not a taxi driver.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will listen to a song. Can we infer the following from them? Answer yes or no: For all w, w will not listen to a song.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w will not take a plane.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u will listen to a song. Can we infer the following from them? Answer yes or no: For all u, u will not listen to a song.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will go running. Can we infer the following from them? Answer yes or no: For all w, w will not go running.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will take a plane. Can we infer the following from them? Answer yes or no: For all v, v will not take a plane.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is an astronaut. Can we infer the following from them? Answer yes or no: For all z, z is not an astronaut.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, v is not a carpenter.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is a writer. Can we infer the following from them? Answer yes or no: For all z, z is not a writer.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will sleep. Can we infer the following from them? Answer yes or no: For all w, w will not sleep.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will not make tea.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is not a taxi driver.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will not listen to a song.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will not drive a car.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v is fast. Can we infer the following from them? Answer yes or no: For all v, v is not fast.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will play a game. Can we infer the following from them? Answer yes or no: For all w, w will not play a game.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is a police officer. Can we infer the following from them? Answer yes or no: For all z, z is not a police officer.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w is happy. Can we infer the following from them? Answer yes or no: For all w, w is not happy.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is a soldier. Can we infer the following from them? Answer yes or no: For all z, z is not a soldier.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z will make tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 will drink water. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will not drink water.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u is a scientist. Can we infer the following from them? Answer yes or no: For all u, u is not a scientist.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x for which x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will climb a mountain. Can we infer the following from them? Answer yes or no: For all v, v will not climb a mountain.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u will not write a letter.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is an artist. Can we infer the following from them? Answer yes or no: For all z, z is not an artist.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w is rich. Can we infer the following from them? Answer yes or no: For all w, w is not rich.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will cook. Can we infer the following from them? Answer yes or no: For all v, v will not cook.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one w for which w will work. Can we infer the following from them? Answer yes or no: For all w, w will not work.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one v for which v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will not drink water.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u is a sailor. Can we infer the following from them? Answer yes or no: For all u, u is not a sailor.",no
predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z will cook. Can we infer the following from them? Answer yes or no: For all z, z will not cook.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, neither v_3 is a police officer nor v_3 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which the claim that v_3 is not a police officer and the claim that v_3 will not take a plane cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is sad and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not sad nor x will not read a book.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 is a poet nor z_3 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 is not a poet and the claim that z_3 will not play tennis cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x is curious nor x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is not curious and the claim that x will not cook cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, neither w is a carpenter nor w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is not a carpenter and the claim that w is not a nurse cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, neither w is a taxi driver nor w will play tennis. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is not a taxi driver and the claim that w will not play tennis cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is a taxi driver and the claim that x will go running cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a taxi driver nor x will not go running.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will drink water and the claim that x will climb a mountain cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not drink water nor x will not climb a mountain.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, the claim that u is a poet and the claim that u will cook cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not a poet nor u will not cook.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, the claim that u is sad and the claim that u is fast cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not sad nor u is not fast.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x is a doctor nor x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is not a doctor and the claim that x will not cook cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, neither v_3 will make tea nor v_3 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which the claim that v_3 will not make tea and the claim that v_3 will not take a plane cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is curious and the claim that x is excited cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not curious nor x is not excited.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x is a soldier nor x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is not a soldier and the claim that x will not go running cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 will write a letter nor z_3 is poor. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 will not write a letter and the claim that z_3 is not poor cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will drive a car and the claim that x is curious cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not drive a car nor x is not curious.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will play tennis and the claim that x will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not play tennis nor x will not take a plane.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, the claim that u is a writer and the claim that u will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not a writer nor u will not sleep.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will play tennis and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not play tennis nor x will not read a book.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, neither w is a soldier nor w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is not a soldier and the claim that w is not a cashier cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is an astronaut and the claim that x is happy cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not an astronaut nor x is not happy.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will read a book and the claim that x is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not read a book nor x is not a doctor.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, neither w is a cashier nor w will drink water. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is not a cashier and the claim that w will not drink water cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x is a politician nor x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is not a politician and the claim that x is not a doctor cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x_1, the claim that x_1 will drink water and the claim that x_1 is a police officer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which neither x_1 will not drink water nor x_1 is not a police officer.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will drive a car nor x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not drive a car and the claim that x will not cook cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will make tea and the claim that x is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not make tea nor x is not a sailor.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 will play a game nor z_3 will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 will not play a game and the claim that z_3 will not drink water cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will make tea nor x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not make tea and the claim that x is not a writer cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, neither v_3 will read a book nor v_3 is excited. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which the claim that v_3 will not read a book and the claim that v_3 is not excited cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will take a plane and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not take a plane nor x will not play a game.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, neither w will play tennis nor w will work. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w will not play tennis and the claim that w will not work cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is a soldier and the claim that x is happy cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a soldier nor x is not happy.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, neither v_3 will read a book nor v_3 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which the claim that v_3 will not read a book and the claim that v_3 is not a nurse cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, neither v_3 is a bartender nor v_3 is rich. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which the claim that v_3 is not a bartender and the claim that v_3 is not rich cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, the claim that u is poor and the claim that u will work cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not poor nor u will not work.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will go running and the claim that x will work cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not go running nor x will not work.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is excited and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not excited nor x will not play a game.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is a lawyer and the claim that x is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a lawyer nor x is not a server.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will work nor x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not work and the claim that x will not go running cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will go running and the claim that x will listen to a song cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not go running nor x will not listen to a song.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will play a game nor x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not play a game and the claim that x is not a musician cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 is a police officer nor z_3 is curious. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 is not a police officer and the claim that z_3 is not curious cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 is curious nor z_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 is not curious and the claim that z_3 will not sleep cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will take a plane nor x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not take a plane and the claim that x is not an office clerk cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x is a police officer and the claim that x will cook cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a police officer nor x will not cook.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z_3, neither z_3 is a mechanic nor z_3 will play squash. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which the claim that z_3 is not a mechanic and the claim that z_3 will not play squash cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will take a plane nor x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will not take a plane and the claim that x is not an artist cannot both be true.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will drive a car and the claim that x is a bartender cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not drive a car nor x is not a bartender.",no
predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x is a nurse nor x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is not a nurse and the claim that x is not a poet cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will go running, and x will write a letter and x will make tea. Can we infer the following from them? Answer yes or no: For all x, the claim that x will go running and x will write a letter, and the claim that x will make tea cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane, and x will read a book and x will play squash. Can we infer the following from them? Answer yes or no: For all x, the claim that x will take a plane and x will read a book, and the claim that x will play squash cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a taxi driver or x will work or x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x is a taxi driver or x will work nor x is a server.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will play squash or x is a writer or x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash or x is a writer nor x is a server.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z for which z will listen to a song, and z will play a game and z will make tea. Can we infer the following from them? Answer yes or no: For all z, the claim that z will listen to a song and z will play a game, and the claim that z will make tea cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is an artist or x is a carpenter or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x is an artist or x is a carpenter nor x will drive a car.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will cook or x will go running or x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x will cook or x will go running nor x is fast.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will play squash, and x will play a game and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play squash and x will play a game, and the claim that x will take a plane cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane or x is a scientist or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will take a plane or x is a scientist nor x will sleep.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a nurse, and x will cook and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a nurse and x will cook, and the claim that x is a doctor cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is rich or x is excited or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, neither x is rich or x is excited nor x is a police officer.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a politician or x will drink water or x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x is a politician or x will drink water nor x will make tea.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v is a carpenter or v is an electrician or v will play a game. Can we infer the following from them? Answer yes or no: For all v, neither v is a carpenter or v is an electrician nor v will play a game.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book, and x will drink water and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, the claim that x will read a book and x will drink water, and the claim that x is a lawyer cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z for which z is curious, and z is a doctor and z is a janitor. Can we infer the following from them? Answer yes or no: For all z, the claim that z is curious and z is a doctor, and the claim that z is a janitor cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book or x will work or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, neither x will read a book or x will work nor x is a nurse.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will drive a car or x will make tea or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, neither x will drive a car or x will make tea nor x is a doctor.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v is a sailor or v will sleep or v is a bartender. Can we infer the following from them? Answer yes or no: For all v, neither v is a sailor or v will sleep nor v is a bartender.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic or x is a sailor or x will go running. Can we infer the following from them? Answer yes or no: For all x, neither x is a mechanic or x is a sailor nor x will go running.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 is a police officer, and v_1 will cook and v_1 is happy. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 is a police officer and v_1 will cook, and the claim that v_1 is happy cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is curious or x is sad or x will work. Can we infer the following from them? Answer yes or no: For all x, neither x is curious or x is sad nor x will work.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will play a game, and x is an electrician and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play a game and x is an electrician, and the claim that x is a doctor cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v is a lawyer or v is a musician or v will make tea. Can we infer the following from them? Answer yes or no: For all v, neither v is a lawyer or v is a musician nor v will make tea.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is fast or x will drive a car or x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x is fast or x will drive a car nor x will make tea.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is an artist or x will make tea or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x is an artist or x will make tea nor x will cook.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane or x is an astronaut or x is poor. Can we infer the following from them? Answer yes or no: For all x, neither x will take a plane or x is an astronaut nor x is poor.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a poet or x is poor or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, neither x is a poet or x is poor nor x is an astronaut.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will write a letter or x will read a book or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, neither x will write a letter or x will read a book nor x will listen to a song.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v will sleep or v will play a game or v is a cashier. Can we infer the following from them? Answer yes or no: For all v, neither v will sleep or v will play a game nor v is a cashier.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a police officer or x is curious or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, neither x is a police officer or x is curious nor x is a mechanic.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is an astronaut or x is a poet or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x is an astronaut or x is a poet nor x will cook.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 is a nurse, and w_4 is a soldier and w_4 will read a book. Can we infer the following from them? Answer yes or no: For all w_4, the claim that w_4 is a nurse and w_4 is a soldier, and the claim that w_4 will read a book cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will work, and x will make tea and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, the claim that x will work and x will make tea, and the claim that x is a lawyer cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will play a game or x will go running or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, neither x will play a game or x will go running nor x is an electrician.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic or x will take a plane or x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x is a mechanic or x will take a plane nor x will make tea.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: Some sailors will climb a mountain and w_4 is an astronaut. Can we infer the following from them? Answer yes or no: For all w_4, the claim that w_4 is a sailor and w_4 will climb a mountain and the claim that w_4 is an astronaut cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book, and x is a nurse and x will go running. Can we infer the following from them? Answer yes or no: For all x, the claim that x will read a book and x is a nurse, and the claim that x will go running cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will make tea or x will drink water or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea or x will drink water nor x is a sailor.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will work or x will play tennis or x is excited. Can we infer the following from them? Answer yes or no: For all x, neither x will work or x will play tennis nor x is excited.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a scientist, and x is an astronaut and x will make tea. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a scientist and x is an astronaut, and the claim that x will make tea cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v will drive a car or v is a politician or v will drink water. Can we infer the following from them? Answer yes or no: For all v, neither v will drive a car or v is a politician nor v will drink water.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a doctor or x is a soldier or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, neither x is a doctor or x is a soldier nor x is an electrician.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 is happy, and v_1 is a cashier and v_1 is poor. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 is happy and v_1 is a cashier, and the claim that v_1 is poor cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z for which z is excited, and z will sleep and z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, the claim that z is excited and z will sleep, and the claim that z is a taxi driver cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a doctor, and x will climb a mountain and x is a server. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a doctor and x will climb a mountain, and the claim that x is a server cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain or x is a soldier or x is excited. Can we infer the following from them? Answer yes or no: For all x, neither x will climb a mountain or x is a soldier nor x is excited.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will make tea or x will go running or x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea or x will go running nor x will play squash.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep or x will work or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, neither x will sleep or x will work nor x is an office clerk.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v_1 for which v_1 is a sailor, and v_1 will play a game and v_1 is a nurse. Can we infer the following from them? Answer yes or no: For all v_1, the claim that v_1 is a sailor and v_1 will play a game, and the claim that v_1 is a nurse cannot both be true.",no
predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is sad, and x is an artist and x will work. Can we infer the following from them? Answer yes or no: For all x, the claim that x is sad and x is an artist, and the claim that x will work cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will go running and v is a cashier. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a cashier and the claim that v will go running cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some scientists are carpenters. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a carpenter and the claim that x is a scientist cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, neither x is a taxi driver nor x will listen to a song.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book and x is a server. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a server and the claim that x will read a book cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will work and v is poor. Can we infer the following from them? Answer yes or no: For all v, the claim that v is poor and the claim that v will work cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some bartenders will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play a game and the claim that x is a bartender cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some poets will cook. Can we infer the following from them? Answer yes or no: For all x, the claim that x will cook and the claim that x is a poet cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y is an office clerk and y is a doctor. Can we infer the following from them? Answer yes or no: For all y, the claim that y is a doctor and the claim that y is an office clerk cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will cook or x is excited. Can we infer the following from them? Answer yes or no: For all x, neither x is excited nor x will cook.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is an artist and x will sleep. Can we infer the following from them? Answer yes or no: For all x, the claim that x will sleep and the claim that x is an artist cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is happy or v is a lawyer. Can we infer the following from them? Answer yes or no: For all v, neither v is a lawyer nor v is happy.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain and x will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play a game and the claim that x will climb a mountain cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some janitors are cashiers. Can we infer the following from them? Answer yes or no: For all y, the claim that y is a cashier and the claim that y is a janitor cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is poor and x is a poet. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a poet and the claim that x is poor cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is a scientist or v is happy. Can we infer the following from them? Answer yes or no: For all v, neither v is happy nor v is a scientist.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will write a letter and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a cashier and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will play a game and x is a janitor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a janitor and the claim that x will play a game cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will go running or x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea nor x will go running.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will play tennis or v will cook. Can we infer the following from them? Answer yes or no: For all v, neither v will cook nor v will play tennis.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain or x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, neither x is a carpenter nor x will climb a mountain.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is fast and v is an electrician. Can we infer the following from them? Answer yes or no: For all v, the claim that v is an electrician and the claim that v is fast cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, neither x is a lawyer nor x will drink water.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will cook or x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x is a server nor x will cook.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some mechanics will play tennis. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play tennis and the claim that x is a mechanic cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some janitors are carpenters. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a carpenter and the claim that x is a janitor cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some lawyers will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play a game and the claim that x is a lawyer cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is rich and x will make tea. Can we infer the following from them? Answer yes or no: For all x, the claim that x will make tea and the claim that x is rich cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some bartenders are politicians. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a politician and the claim that x is a bartender cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will read a book or v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, neither v is a carpenter nor v will read a book.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is poor or x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x is a server nor x is poor.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y will play a game and y is an artist. Can we infer the following from them? Answer yes or no: For all y, the claim that y is an artist and the claim that y will play a game cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y will play squash and y is a server. Can we infer the following from them? Answer yes or no: For all y, the claim that y is a server and the claim that y will play squash cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will write a letter and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, the claim that x will climb a mountain and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is excited and v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a carpenter and the claim that v is excited cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is a writer or v is a musician. Can we infer the following from them? Answer yes or no: For all v, neither v is a musician nor v is a writer.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will write a letter or v is a soldier. Can we infer the following from them? Answer yes or no: For all v, neither v is a soldier nor v will write a letter.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is a taxi driver or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song nor x is a taxi driver.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will read a book or v is a musician. Can we infer the following from them? Answer yes or no: For all v, neither v is a musician nor v will read a book.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic and x is happy. Can we infer the following from them? Answer yes or no: For all x, the claim that x is happy and the claim that x is a mechanic cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some politicians will play squash. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play squash and the claim that x is a politician cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some bartenders will play tennis. Can we infer the following from them? Answer yes or no: For all w, the claim that w will play tennis and the claim that w is a bartender cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is happy or v is poor. Can we infer the following from them? Answer yes or no: For all v, neither v is poor nor v is happy.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will work and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, the claim that x will drive a car and the claim that x will work cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y is curious and y will write a letter. Can we infer the following from them? Answer yes or no: For all y, the claim that y will write a letter and the claim that y is curious cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some servers are soldiers. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a soldier and the claim that v is a server cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y will sleep and y will read a book. Can we infer the following from them? Answer yes or no: For all y, the claim that y will read a book and the claim that y will sleep cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y for which y is a server and y is an astronaut. Can we infer the following from them? Answer yes or no: For all y, the claim that y is an astronaut and the claim that y is a server cannot both be true.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will cook or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, neither x is a bartender nor x will cook.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, neither x is a scientist nor x will sleep.",no
predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v is a janitor or v is an astronaut. Can we infer the following from them? Answer yes or no: For all v, neither v is an astronaut nor v is a janitor.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is an office clerk nor x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not an office clerk and the claim that x is not a mechanic cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which neither y will go running nor y is a writer. Can we infer the following from them? Answer yes or no: For all y, the claim that y will not go running and the claim that y is not a writer cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is a poet and the claim that x will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not a poet nor x will not play tennis.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u is excited and the claim that u is a writer cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u is not excited nor u is not a writer.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a poet nor x is a doctor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a poet and the claim that x is not a doctor cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will drive a car nor x is a politician. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not drive a car and the claim that x is not a politician cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will climb a mountain nor x will drink water. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not climb a mountain and the claim that x will not drink water cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will play a game nor x will read a book. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not play a game and the claim that x will not read a book cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z for which the claim that z is a sailor and the claim that z will cook cannot both be true. Can we infer the following from them? Answer yes or no: For all z, neither z is not a sailor nor z will not cook.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will work nor x will play squash. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not work and the claim that x will not play squash cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a taxi driver nor x is an artist. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a taxi driver and the claim that x is not an artist cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is a nurse and the claim that x is a bartender cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not a nurse nor x is not a bartender.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will make tea nor x is a police officer. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not make tea and the claim that x is not a police officer cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will make tea nor x is excited. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not make tea and the claim that x is not excited cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is a carpenter and the claim that x is a police officer cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not a carpenter nor x is not a police officer.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is fast nor x is a scientist. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not fast and the claim that x is not a scientist cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a janitor nor x will go running. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a janitor and the claim that x will not go running cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a writer nor x is a janitor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a writer and the claim that x is not a janitor cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z_1 for which neither z_1 is a doctor nor z_1 will cook. Can we infer the following from them? Answer yes or no: For all z_1, the claim that z_1 is not a doctor and the claim that z_1 will not cook cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will write a letter nor x is a doctor. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not write a letter and the claim that x is not a doctor cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x will drive a car and the claim that x will listen to a song cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x will not drive a car nor x will not listen to a song.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x will write a letter and the claim that x is a poet cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x will not write a letter nor x is not a poet.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z for which the claim that z is a janitor and the claim that z is a taxi driver cannot both be true. Can we infer the following from them? Answer yes or no: For all z, neither z is not a janitor nor z is not a taxi driver.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x will work and the claim that x is sad cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x will not work nor x is not sad.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is a poet and the claim that x will play squash cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not a poet nor x will not play squash.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x will read a book and the claim that x will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x will not read a book nor x will not make tea.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is happy and the claim that x will sleep cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not happy nor x will not sleep.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which neither y is a writer nor y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, the claim that y is not a writer and the claim that y will not listen to a song cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a politician nor x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a politician and the claim that x will not listen to a song cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will listen to a song nor x will play tennis. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not listen to a song and the claim that x will not play tennis cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will listen to a song nor x will read a book. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not listen to a song and the claim that x will not read a book cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u will go running and the claim that u is rich cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u will not go running nor u is not rich.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z for which the claim that z is sad and the claim that z is a server cannot both be true. Can we infer the following from them? Answer yes or no: For all z, neither z is not sad nor z is not a server.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a cashier nor x will drink water. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a cashier and the claim that x will not drink water cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u will take a plane and the claim that u is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u will not take a plane nor u is not an office clerk.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u will listen to a song and the claim that u will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u will not listen to a song nor u will not make tea.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which neither y will drink water nor y will go running. Can we infer the following from them? Answer yes or no: For all y, the claim that y will not drink water and the claim that y will not go running cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x is a nurse and the claim that x will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x is not a nurse nor x will not drive a car.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u will listen to a song and the claim that u is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u will not listen to a song nor u is not a doctor.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a nurse nor x is bored. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a nurse and the claim that x is not bored cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z_1 for which neither z_1 is excited nor z_1 is an artist. Can we infer the following from them? Answer yes or no: For all z_1, the claim that z_1 is not excited and the claim that z_1 is not an artist cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u is a soldier and the claim that u will climb a mountain cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u is not a soldier nor u will not climb a mountain.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u is a doctor and the claim that u will work cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u is not a doctor nor u will not work.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u is a politician and the claim that u will drink water cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u is not a politician nor u will not drink water.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is sad nor x is a janitor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not sad and the claim that x is not a janitor cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u for which the claim that u will sleep and the claim that u will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: For all u, neither u will not sleep nor u will not take a plane.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which the claim that x will read a book and the claim that x is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: For all x, neither x will not read a book nor x is not a doctor.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x will sleep nor x will drive a car. Can we infer the following from them? Answer yes or no: For all x, the claim that x will not sleep and the claim that x will not drive a car cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is an office clerk nor x will go running. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not an office clerk and the claim that x will not go running cannot both be true.",no
predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is a sailor nor x will cook. Can we infer the following from them? Answer yes or no: For all x, the claim that x is not a sailor and the claim that x will not cook cannot both be true.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all v, if v were fast, then v is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is not fast nor v will listen to a song.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all v, if v works, then v is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v will not work nor v is a doctor.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x drives a car, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not drive a car nor x is rich.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were an artist, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not an artist nor x is a mechanic.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not take a plane or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x takes a plane does not imply that x is making tea.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were happy, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not happy nor x will make tea.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not play tennis or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays tennis does not imply that x is writing a letter.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a carpenter, then x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a carpenter nor x is a janitor.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w_1, w_1 is not fast or w_1 will go running. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the fact that w_1 were fast does not imply that w_1 is running.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not a janitor or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a janitor does not imply that x is a carpenter.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x cooks, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not cook nor x will take a plane.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not work or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x works does not imply that x is a carpenter.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u_4, u_4 is not a cashier or u_4 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 were a cashier does not imply that u_4 is an electrician.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w_1, w_1 will not go running or w_1 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the fact that w_1 goes running does not imply that w_1 is an electrician.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u_4, u_4 will not read a book or u_4 will sleep. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 reads a book does not imply that u_4 is sleeping.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u works, then u is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will not work nor u will play tennis.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not happy or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were happy does not imply that x is playing a game.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were sad, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not sad nor x is a bartender.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not play squash or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays squash does not imply that x is a doctor.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_4, x_4 will not drive a car or x_4 is excited. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which the fact that x_4 drives a car does not imply that x_4 is excited.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_4, x_4 is not a janitor or x_4 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which the fact that x_4 were a janitor does not imply that x_4 is listening to a song.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not take a plane or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x takes a plane does not imply that x is working.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not fast or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were fast does not imply that x is listening to a song.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u writes a letter, then u is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will not write a letter nor u is a taxi driver.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not a lawyer or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a lawyer does not imply that x is a carpenter.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a musician, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a musician nor x is a police officer.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u works, then u is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will not work nor u will cook.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all y_3, y_3 is not a politician or y_3 is an artist. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which the fact that y_3 were a politician does not imply that y_3 is an artist.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_4, x_4 is not a janitor or x_4 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which the fact that x_4 were a janitor does not imply that x_4 is a bartender.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all y_3, y_3 is not a server or y_3 will play a game. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which the fact that y_3 were a server does not imply that y_3 is playing a game.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a server or w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were a server does not imply that w is an artist.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u were an electrician, then u is a nurse. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not an electrician nor u is a nurse.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not a sailor or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a sailor does not imply that x is making tea.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all v_1, if v_1 works, then v_1 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which neither v_1 will not work nor v_1 will drive a car.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u drinks water, then u is excited. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will not drink water nor u is excited.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a musician or w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were a musician does not imply that w is rich.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a lawyer, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is not a lawyer nor x is a doctor.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a lawyer or w will drive a car. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were a lawyer does not imply that w is driving a car.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u makes tea, then u is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will not make tea nor u will write a letter.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not play squash or x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays squash does not imply that x is a nurse.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u were a mechanic, then u is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not a mechanic nor u is an electrician.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_4, x_4 is not a nurse or x_4 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which the fact that x_4 were a nurse does not imply that x_4 is playing tennis.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all y_3, y_3 is not a lawyer or y_3 is fast. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which the fact that y_3 were a lawyer does not imply that y_3 is fast.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u were excited, then u is a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not excited nor u is a musician.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all v, if v were a musician, then v is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is not a musician nor v will listen to a song.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not climb a mountain or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x climbs a mountain does not imply that x is playing a game.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w will not climb a mountain or w will read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w climbs a mountain does not imply that w is reading a book.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will not listen to a song nor x is a doctor.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all u, if u were a sailor, then u is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is not a sailor nor u will cook.",no
predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all y_3, y_3 is not a mechanic or y_3 will cook. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which the fact that y_3 were a mechanic does not imply that y_3 is cooking.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is an electrician or there is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is no x for which x is an electrician or x is happy.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y_3 for which y_3 will play a game and y_3 is a lawyer. Can we infer the following from them? Answer yes or no: The claim that there is at least one y_3 for which y_3 will play a game and the claim that there is at least one y_3 for which y_3 is a lawyer cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a doctor or x will play a game. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a doctor nor there is at least one x for which x will play a game.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a soldier or x is an electrician. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a soldier nor there is at least one x for which x is an electrician.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z, z will write a letter and for all z, z will sleep. Can we infer the following from them? Answer yes or no: Not for all z, z will write a letter and z will sleep.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will make tea or there is at least one x for which x is a carpenter. Can we infer the following from them? Answer yes or no: There is no x for which x will make tea or x is a carpenter.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is happy and x will play a game. Can we infer the following from them? Answer yes or no: The claim that for all x, x is happy and the claim that for all x, x will play a game cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a sailor and for all x, x is a lawyer. Can we infer the following from them? Answer yes or no: Not for all x, x is a sailor and x is a lawyer.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all w, w will read a book and for all w, w will play a game. Can we infer the following from them? Answer yes or no: Not for all w, w will read a book and w will play a game.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is sad or there is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is no x for which x is sad or x will sleep.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a politician and x is a writer. Can we infer the following from them? Answer yes or no: The claim that for all x, x is a politician and the claim that for all x, x is a writer cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a nurse and x is a musician. Can we infer the following from them? Answer yes or no: The claim that for all x, x is a nurse and the claim that for all x, x is a musician cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is poor or x will cook. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is poor nor there is at least one x for which x will cook.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a taxi driver or x is an office clerk. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a taxi driver nor there is at least one x for which x is an office clerk.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all w, w will cook and w is a doctor. Can we infer the following from them? Answer yes or no: The claim that for all w, w will cook and the claim that for all w, w is a doctor cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y_3 for which y_3 will play squash and y_3 will go running. Can we infer the following from them? Answer yes or no: The claim that there is at least one y_3 for which y_3 will play squash and the claim that there is at least one y_3 for which y_3 will go running cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one v for which v will cook or there is at least one v for which v will drive a car. Can we infer the following from them? Answer yes or no: There is no v for which v will cook or v will drive a car.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is happy and x will write a letter. Can we infer the following from them? Answer yes or no: The claim that for all x, x is happy and the claim that for all x, x will write a letter cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one w for which w is an office clerk and w is a carpenter. Can we infer the following from them? Answer yes or no: The claim that there is at least one w for which w is an office clerk and the claim that there is at least one w for which w is a carpenter cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a lawyer and for all x, x will drive a car. Can we infer the following from them? Answer yes or no: Not for all x, x is a lawyer and x will drive a car.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one v for which v will write a letter or there is at least one v for which v is excited. Can we infer the following from them? Answer yes or no: There is no v for which v will write a letter or v is excited.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all v_3, v_3 will play tennis or for all v_3, v_3 will listen to a song. Can we infer the following from them? Answer yes or no: Not for all v_3, v_3 will play tennis or v_3 will listen to a song.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all w, w will go running and for all w, w is rich. Can we infer the following from them? Answer yes or no: Not for all w, w will go running and w is rich.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all w, w is fast and w will take a plane. Can we infer the following from them? Answer yes or no: The claim that for all w, w is fast and the claim that for all w, w will take a plane cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z_2, z_2 is a writer or for all z_2, z_2 will play a game. Can we infer the following from them? Answer yes or no: Not for all z_2, z_2 is a writer or z_2 will play a game.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a soldier or x is a server. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a soldier nor there is at least one x for which x is a server.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will listen to a song or there is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: There is no x for which x will listen to a song or x is a soldier.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a poet or x is curious. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a poet nor there is at least one x for which x is curious.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y for which y will drink water or there is at least one y for which y will sleep. Can we infer the following from them? Answer yes or no: There is no y for which y will drink water or y will sleep.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y_3 for which y_3 is a soldier and y_3 is excited. Can we infer the following from them? Answer yes or no: The claim that there is at least one y_3 for which y_3 is a soldier and the claim that there is at least one y_3 for which y_3 is excited cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will work and for all x, x will play tennis. Can we infer the following from them? Answer yes or no: Not for all x, x will work and x will play tennis.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a bartender or for all x, x will read a book. Can we infer the following from them? Answer yes or no: Not for all x, x is a bartender or x will read a book.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will climb a mountain and for all x, x is an astronaut. Can we infer the following from them? Answer yes or no: Not for all x, x will climb a mountain and x is an astronaut.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y for which y will drive a car or there is at least one y for which y will take a plane. Can we infer the following from them? Answer yes or no: There is no y for which y will drive a car or y will take a plane.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z_2, z_2 will climb a mountain or for all z_2, z_2 will make tea. Can we infer the following from them? Answer yes or no: Not for all z_2, z_2 will climb a mountain or z_2 will make tea.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a bartender and for all x, x is curious. Can we infer the following from them? Answer yes or no: Not for all x, x is a bartender and x is curious.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one w_1 for which w_1 is a writer or w_1 will work. Can we infer the following from them? Answer yes or no: Neither there is at least one w_1 for which w_1 is a writer nor there is at least one w_1 for which w_1 will work.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: Some musicians will go running. Can we infer the following from them? Answer yes or no: The claim that there is at least one w for which w is a musician and the claim that there is at least one w for which w will go running cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will drive a car and x will write a letter. Can we infer the following from them? Answer yes or no: The claim that for all x, x will drive a car and the claim that for all x, x will write a letter cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all w, w will play tennis and w will listen to a song. Can we infer the following from them? Answer yes or no: The claim that for all w, w will play tennis and the claim that for all w, w will listen to a song cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: Some soldiers will go running. Can we infer the following from them? Answer yes or no: The claim that there is at least one x for which x is a soldier and the claim that there is at least one x for which x will go running cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one u_2 for which u_2 will cook or u_2 is a poet. Can we infer the following from them? Answer yes or no: Neither there is at least one u_2 for which u_2 will cook nor there is at least one u_2 for which u_2 is a poet.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is a nurse or x is an electrician. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x is a nurse nor there is at least one x for which x is an electrician.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a writer or for all x, x is a poet. Can we infer the following from them? Answer yes or no: Not for all x, x is a writer or x is a poet.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is an artist and x is an astronaut. Can we infer the following from them? Answer yes or no: The claim that for all x, x is an artist and the claim that for all x, x is an astronaut cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y for which y is sad or there is at least one y for which y is rich. Can we infer the following from them? Answer yes or no: There is no y for which y is sad or y is rich.,no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will sleep and x will write a letter. Can we infer the following from them? Answer yes or no: The claim that for all x, x will sleep and the claim that for all x, x will write a letter cannot both be true.",no
predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will play a game or for all x, x will read a book. Can we infer the following from them? Answer yes or no: Not for all x, x will play a game or x will read a book.",no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one w for which w will sleep and w will listen to a song. Can we infer the following from them? Answer yes or no: The claim that there is at least one w for which w will sleep and the claim that there is at least one w for which w will listen to a song cannot both be true.,no
predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one u for which u is a police officer or u is sad. Can we infer the following from them? Answer yes or no: Neither there is at least one u for which u is a police officer nor there is at least one u for which u is sad.,no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a carpenter, then x is running and if x goes running, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a carpenter if and only if x will go running.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_4 for which if v_4 were sad, then v_4 is bored and if v_4 were bored, then v_4 is sad. Can we infer the following from them? Answer yes or no: For all v_4, it is not true that v_4 is sad if and only if v_4 is bored.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which if v plays tennis, then v is driving a car and if v drives a car, then v is playing tennis. Can we infer the following from them? Answer yes or no: For all v, it is not true that v will play tennis if and only if v will drive a car.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x_3 for which if x_3 plays squash, then x_3 is a writer and if x_3 were a writer, then x_3 is playing squash. Can we infer the following from them? Answer yes or no: For all x_3, it is not true that x_3 will play squash if and only if x_3 is a writer.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a police officer if and only if x is a writer. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a police officer, then x is a writer and the claim that if x were a writer, then x is a police officer cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will drive a car if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, the claim that if x drives a car, then x is an electrician and the claim that if x were an electrician, then x is driving a car cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane if and only if x will read a book. Can we infer the following from them? Answer yes or no: For all x, the claim that if x takes a plane, then x is reading a book and the claim that if x reads a book, then x is taking a plane cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x_3 for which if x_3 cooks, then x_3 is a lawyer and if x_3 were a lawyer, then x_3 is cooking. Can we infer the following from them? Answer yes or no: For all x_3, it is not true that x_3 will cook if and only if x_3 is a lawyer.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which v is a politician if and only if v will cook. Can we infer the following from them? Answer yes or no: For all v, the claim that if v were a politician, then v is cooking and the claim that if v cooks, then v is a politician cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were a janitor, then v is a police officer and if v were a police officer, then v is a janitor. Can we infer the following from them? Answer yes or no: For all v, it is not true that v is a janitor if and only if v is a police officer.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a writer, then x is an astronaut and if x were an astronaut, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a writer if and only if x is an astronaut.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep if and only if x is a cashier. Can we infer the following from them? Answer yes or no: For all x, the claim that if x sleeps, then x is a cashier and the claim that if x were a cashier, then x is sleeping cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic if and only if x will play tennis. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a mechanic, then x is playing tennis and the claim that if x plays tennis, then x is a mechanic cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will go running if and only if x is a musician. Can we infer the following from them? Answer yes or no: For all x, the claim that if x goes running, then x is a musician and the claim that if x were a musician, then x is running cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a doctor if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a doctor, then x is an office clerk and the claim that if x were an office clerk, then x is a doctor cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x drinks water, then x is a police officer and if x were a police officer, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will drink water if and only if x is a police officer.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will cook if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, the claim that if x cooks, then x is making tea and the claim that if x makes tea, then x is cooking cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is an office clerk if and only if x is a soldier. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were an office clerk, then x is a soldier and the claim that if x were a soldier, then x is an office clerk cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one w for which if w were a politician, then w is listening to a song and if w listens to a song, then w is a politician. Can we infer the following from them? Answer yes or no: For all w, it is not true that w is a politician if and only if w will listen to a song.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a taxi driver, then x is a soldier and if x were a soldier, then x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a taxi driver if and only if x is a soldier.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one z for which z is a sailor if and only if z will sleep. Can we infer the following from them? Answer yes or no: For all z, the claim that if z were a sailor, then z is sleeping and the claim that if z sleeps, then z is a sailor cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x_3 for which if x_3 were a taxi driver, then x_3 is happy and if x_3 were happy, then x_3 is a taxi driver. Can we infer the following from them? Answer yes or no: For all x_3, it is not true that x_3 is a taxi driver if and only if x_3 is happy.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one w for which if w cooks, then w is a server and if w were a server, then w is cooking. Can we infer the following from them? Answer yes or no: For all w, it is not true that w will cook if and only if w is a server.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is a nurse and if x were a nurse, then x is running. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will go running if and only if x is a nurse.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were bored, then x is driving a car and if x drives a car, then x is bored. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is bored if and only if x will drive a car.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a taxi driver, then x is happy and if x were happy, then x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a taxi driver if and only if x is happy.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which if v reads a book, then v is bored and if v were bored, then v is reading a book. Can we infer the following from them? Answer yes or no: For all v, it is not true that v will read a book if and only if v is bored.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a janitor if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a janitor, then x is sleeping and the claim that if x sleeps, then x is a janitor cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were curious, then x is a poet and if x were a poet, then x is curious. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is curious if and only if x is a poet.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a soldier if and only if x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a soldier, then x is a carpenter and the claim that if x were a carpenter, then x is a soldier cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will write a letter if and only if x will play tennis. Can we infer the following from them? Answer yes or no: For all x, the claim that if x writes a letter, then x is playing tennis and the claim that if x plays tennis, then x is writing a letter cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were excited, then x is sleeping and if x sleeps, then x is excited. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is excited if and only if x will sleep.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will work if and only if x is a soldier. Can we infer the following from them? Answer yes or no: For all x, the claim that if x works, then x is a soldier and the claim that if x were a soldier, then x is working cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a musician if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a musician, then x is climbing a mountain and the claim that if x climbs a mountain, then x is a musician cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is happy if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were happy, then x is an office clerk and the claim that if x were an office clerk, then x is happy cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one w for which if w were an electrician, then w is working and if w works, then w is an electrician. Can we infer the following from them? Answer yes or no: For all w, it is not true that w is an electrician if and only if w will work.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x_3 for which if x_3 drives a car, then x_3 is making tea and if x_3 makes tea, then x_3 is driving a car. Can we infer the following from them? Answer yes or no: For all x_3, it is not true that x_3 will drive a car if and only if x_3 will make tea.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, the claim that if x listens to a song, then x is sad and the claim that if x were sad, then x is listening to a song cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which if v works, then v is reading a book and if v reads a book, then v is working. Can we infer the following from them? Answer yes or no: For all v, it is not true that v will work if and only if v will read a book.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which if v plays tennis, then v is playing a game and if v plays a game, then v is playing tennis. Can we infer the following from them? Answer yes or no: For all v, it is not true that v will play tennis if and only if v will play a game.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a police officer if and only if x is a politician. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a police officer, then x is a politician and the claim that if x were a politician, then x is a police officer cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x plays a game, then x is working and if x works, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will play a game if and only if x will work.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is poor if and only if x will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were poor, then x is playing a game and the claim that if x plays a game, then x is poor cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x will go running if and only if x will play a game. Can we infer the following from them? Answer yes or no: For all x, the claim that if x goes running, then x is playing a game and the claim that if x plays a game, then x is running cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_4 for which if v_4 were rich, then v_4 is an artist and if v_4 were an artist, then v_4 is rich. Can we infer the following from them? Answer yes or no: For all v_4, it is not true that v_4 is rich if and only if v_4 is an artist.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is a writer if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were a writer, then x is an office clerk and the claim that if x were an office clerk, then x is a writer cannot both be true.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x plays tennis, then x is a politician and if x were a politician, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will play tennis if and only if x is a politician.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x_3 for which if x_3 were curious, then x_3 is playing tennis and if x_3 plays tennis, then x_3 is curious. Can we infer the following from them? Answer yes or no: For all x_3, it is not true that x_3 is curious if and only if x_3 will play tennis.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_4 for which if v_4 were a doctor, then v_4 is playing tennis and if v_4 plays tennis, then v_4 is a doctor. Can we infer the following from them? Answer yes or no: For all v_4, it is not true that v_4 is a doctor if and only if v_4 will play tennis.",no
predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one w for which if w were excited, then w is cooking and if w cooks, then w is excited. Can we infer the following from them? Answer yes or no: For all w, it is not true that w is excited if and only if w will cook.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y will not listen to a song or y will read a book. Can we infer the following from them? Answer yes or no: For all y, the fact that y listens to a song does not imply that y is reading a book.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_4 for which if w_4 were a taxi driver, then w_4 is drinking water. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is not a taxi driver nor w_4 will drink water.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y is not curious or y will sleep. Can we infer the following from them? Answer yes or no: For all y, the fact that y were curious does not imply that y is sleeping.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then x is a police officer. Can we infer the following from them? Answer yes or no: For all x, neither x will not write a letter nor x is a police officer.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w is not a cashier or w is a musician. Can we infer the following from them? Answer yes or no: For all w, the fact that w were a cashier does not imply that w is a musician.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w will not cook or w will climb a mountain. Can we infer the following from them? Answer yes or no: For all w, the fact that w cooks does not imply that w is climbing a mountain.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is working. Can we infer the following from them? Answer yes or no: For all x, neither x will not climb a mountain nor x will work.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v drives a car, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, neither v will not drive a car nor v will cook.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, then x is a musician. Can we infer the following from them? Answer yes or no: For all x, neither x will not take a plane nor x is a musician.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not a lawyer or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a lawyer does not imply that x is a nurse.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a scientist, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, neither x is not a scientist nor x will drink water.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not play a game or x will play squash. Can we infer the following from them? Answer yes or no: For all x, the fact that x plays a game does not imply that x is playing squash.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y is not a nurse or y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a nurse does not imply that y is a taxi driver.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were a soldier, then v is driving a car. Can we infer the following from them? Answer yes or no: For all v, neither v is not a soldier nor v will drive a car.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were excited, then x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x is not excited nor x is fast.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v plays tennis, then v is sad. Can we infer the following from them? Answer yes or no: For all v, neither v will not play tennis nor v is sad.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 will not take a plane or w_2 is bored. Can we infer the following from them? Answer yes or no: For all w_2, the fact that w_2 takes a plane does not imply that w_2 is bored.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_4 for which if w_4 goes running, then w_4 is taking a plane. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 will not go running nor w_4 will take a plane.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then x is working. Can we infer the following from them? Answer yes or no: For all x, neither x will not write a letter nor x will work.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w will not climb a mountain or w will write a letter. Can we infer the following from them? Answer yes or no: For all w, the fact that w climbs a mountain does not imply that w is writing a letter.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v reads a book, then v is a poet. Can we infer the following from them? Answer yes or no: For all v, neither v will not read a book nor v is a poet.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 will not cook or w_2 will read a book. Can we infer the following from them? Answer yes or no: For all w_2, the fact that w_2 cooks does not imply that w_2 is reading a book.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not sleep or x is fast. Can we infer the following from them? Answer yes or no: For all x, the fact that x sleeps does not imply that x is fast.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w is not curious or w will cook. Can we infer the following from them? Answer yes or no: For all w, the fact that w were curious does not imply that w is cooking.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were an astronaut, then v is bored. Can we infer the following from them? Answer yes or no: For all v, neither v is not an astronaut nor v is bored.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_4 for which if w_4 makes tea, then w_4 is writing a letter. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 will not make tea nor w_4 will write a letter.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a soldier, then x is sad. Can we infer the following from them? Answer yes or no: For all x, neither x is not a soldier nor x is sad.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were poor, then v is writing a letter. Can we infer the following from them? Answer yes or no: For all v, neither v is not poor nor v will write a letter.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were an artist, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, neither x is not an artist nor x is a janitor.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 will not cook or w_2 will make tea. Can we infer the following from them? Answer yes or no: For all w_2, the fact that w_2 cooks does not imply that w_2 is making tea.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not a taxi driver or x is rich. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a taxi driver does not imply that x is rich.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were fast, then v is a server. Can we infer the following from them? Answer yes or no: For all v, neither v is not fast nor v is a server.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x makes tea, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, neither x will not make tea nor x is a poet.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not sleep or x is excited. Can we infer the following from them? Answer yes or no: For all x, the fact that x sleeps does not imply that x is excited.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not an office clerk or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, the fact that x were an office clerk does not imply that x is an electrician.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x drives a car, then x is curious. Can we infer the following from them? Answer yes or no: For all x, neither x will not drive a car nor x is curious.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not play a game or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, the fact that x plays a game does not imply that x is driving a car.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were fast, then x is working. Can we infer the following from them? Answer yes or no: For all x, neither x is not fast nor x will work.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not poor or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, the fact that x were poor does not imply that x is taking a plane.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 is not excited or w_2 will play tennis. Can we infer the following from them? Answer yes or no: For all w_2, the fact that w_2 were excited does not imply that w_2 is playing tennis.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y is not a taxi driver or y is happy. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a taxi driver does not imply that y is happy.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w is not a taxi driver or w will drive a car. Can we infer the following from them? Answer yes or no: For all w, the fact that w were a taxi driver does not imply that w is driving a car.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x drives a car, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x will not drive a car nor x will climb a mountain.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_4 for which if w_4 plays a game, then w_4 is happy. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 will not play a game nor w_4 is happy.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w is not a doctor or w is a police officer. Can we infer the following from them? Answer yes or no: For all w, the fact that w were a doctor does not imply that w is a police officer.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w for which w is not bored or w will drive a car. Can we infer the following from them? Answer yes or no: For all w, the fact that w were bored does not imply that w is driving a car.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v drives a car, then v is poor. Can we infer the following from them? Answer yes or no: For all v, neither v will not drive a car nor v is poor.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not go running or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the fact that x goes running does not imply that x is listening to a song.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one w_4 for which if w_4 were excited, then w_4 is working. Can we infer the following from them? Answer yes or no: For all w_4, neither w_4 is not excited nor w_4 will work.",no
predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were an artist, then v is a politician. Can we infer the following from them? Answer yes or no: For all v, neither v is not an artist nor v is a politician.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will go running, and x will play tennis and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will go running and x will play tennis, and the claim that x will drink water cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will climb a mountain, and x is sad and x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will climb a mountain and x is sad, and the claim that x is a poet cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will work, and x will climb a mountain and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will work and x will climb a mountain, and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 is a nurse or y_3 is bored or y_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 is a nurse or y_3 is bored nor y_3 will sleep.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is poor or x is a taxi driver or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is poor or x is a taxi driver nor x will make tea.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis, and x is sad and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play tennis and x is sad, and the claim that x will climb a mountain cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis, and x will play squash and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play tennis and x will play squash, and the claim that x is a police officer cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a politician, and x will cook and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a politician and x will cook, and the claim that x will sleep cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is an artist or x will cook or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is an artist or x will cook nor x is a cashier.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is happy or x is a bartender or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is happy or x is a bartender nor x is an artist.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y, y will go running or y is an office clerk or y is happy. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will go running or y is an office clerk nor y is happy.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 is curious or y_3 is an astronaut or y_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 is curious or y_3 is an astronaut nor y_3 is a soldier.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a server, and x will work and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a server and x will work, and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is poor, and x is a musician and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is poor and x is a musician, and the claim that x will drink water cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a politician or x is a soldier or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a politician or x is a soldier nor x will sleep.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play a game, and x is a police officer and x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and x is a police officer, and the claim that x is happy cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will climb a mountain, and x is happy and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will climb a mountain and x is happy, and the claim that x is an electrician cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is rich or x will cook or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is rich or x will cook nor x will drive a car.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is an astronaut, and x is a nurse and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is an astronaut and x is a nurse, and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is rich or x is happy or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is rich or x is happy nor x is a cashier.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will sleep, and x will work and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will sleep and x will work, and the claim that x will listen to a song cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is happy, and x will make tea and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is happy and x will make tea, and the claim that x will work cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will cook or x is a nurse or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will cook or x is a nurse nor x is a police officer.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will write a letter or x will make tea or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will write a letter or x will make tea nor x is an astronaut.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y, y will drive a car or y is a scientist or y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will drive a car or y is a scientist nor y will take a plane.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is an astronaut or x will take a plane or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is an astronaut or x will take a plane nor x is a sailor.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 will play squash or y_3 will work or y_3 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 will play squash or y_3 will work nor y_3 is a doctor.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis or x is happy or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play tennis or x is happy nor x is a bartender.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will make tea, and x will sleep and x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will make tea and x will sleep, and the claim that x is sad cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a poet, and x will make tea and x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a poet and x will make tea, and the claim that x will go running cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis, and x will work and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play tennis and x will work, and the claim that x is a police officer cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u will go running, and u is an astronaut and u will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will go running and u is an astronaut, and the claim that u will climb a mountain cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will climb a mountain or x will sleep or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will climb a mountain or x will sleep nor x will listen to a song.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play a game, and x will sleep and x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and x will sleep, and the claim that x is an astronaut cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is excited, and x is an office clerk and x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is excited and x is an office clerk, and the claim that x is a politician cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 will play squash or y_3 will sleep or y_3 will go running. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 will play squash or y_3 will sleep nor y_3 will go running.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will listen to a song or x will write a letter or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will listen to a song or x will write a letter nor x will drive a car.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u is happy, and u will play tennis and u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is happy and u will play tennis, and the claim that u will make tea cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play a game, and x will drink water and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and x will drink water, and the claim that x will play tennis cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u will drink water, and u will cook and u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will drink water and u will cook, and the claim that u will play squash cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a police officer, and x is a carpenter and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a police officer and x is a carpenter, and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will drive a car or x is a sailor or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car or x is a sailor nor x will listen to a song.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 will write a letter or y_3 will drive a car or y_3 is a politician. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 will write a letter or y_3 will drive a car nor y_3 is a politician.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y_3, y_3 is excited or y_3 will play tennis or y_3 will drink water. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which neither y_3 is excited or y_3 will play tennis nor y_3 will drink water.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a politician, and x is a lawyer and x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a politician and x is a lawyer, and the claim that x is a bartender cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will sleep, and x will drive a car and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will sleep and x will drive a car, and the claim that x is a taxi driver cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will drive a car or x will cook or x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car or x will cook nor x is a lawyer.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is bored or x will read a book or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is bored or x will read a book nor x will go running.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis, and x is poor and x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play tennis and x is poor, and the claim that x is a nurse cannot both be true.",no
predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all y, y will climb a mountain or y is a soldier or y is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will climb a mountain or y is a soldier nor y is a sailor.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will play a game, or x is a lawyer and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game or x is a lawyer and the claim that x will play a game or x is an electrician cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a scientist, and either x is a musician or x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a scientist and x is a musician nor x is a scientist and x is rich.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will drink water, or x is an artist and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will drink water or x is an artist and the claim that x will drink water or x will listen to a song cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will make tea, or x is a bartender and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will make tea or x is a bartender and the claim that x will make tea or x will play tennis cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will cook, or x is a server and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will cook or x is a server and the claim that x will cook or x will take a plane cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a nurse, or x will play tennis and x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a nurse or x will play tennis and the claim that x is a nurse or x is an astronaut cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z is a scientist, and either z will write a letter or z is poor. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z is a scientist and z will write a letter nor z is a scientist and z is poor.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will listen to a song, and either x will drive a car or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will listen to a song and x will drive a car nor x will listen to a song and x is an artist.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a cashier, and either x is sad or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a cashier and x is sad nor x is a cashier and x will climb a mountain.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will go running, or x will play a game and x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will go running or x will play a game and the claim that x will go running or x is curious cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u_2, u_2 is a politician, or u_2 will write a letter and u_2 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which the claim that u_2 is a politician or u_2 will write a letter and the claim that u_2 is a politician or u_2 is a soldier cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is poor, or x is a scientist and x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is poor or x is a scientist and the claim that x is poor or x is a bartender cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will sleep, and either x will play a game or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep and x will play a game nor x will sleep and x will play squash.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u will make tea, and either u is a poet or u is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will make tea and u is a poet nor u will make tea and u is a taxi driver.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will sleep, or x will play tennis and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will sleep or x will play tennis and the claim that x will sleep or x will play a game cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z is a poet, and either z is a soldier or z is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z is a poet and z is a soldier nor z is a poet and z is an astronaut.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u is a politician, and either u will write a letter or u will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a politician and u will write a letter nor u is a politician and u will play tennis.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will cook, and either x will drink water or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will cook and x will drink water nor x will cook and x is sad.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will make tea, or x will sleep and x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will make tea or x will sleep and the claim that x will make tea or x is happy cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is an astronaut, or x will listen to a song and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is an astronaut or x will listen to a song and the claim that x is an astronaut or x is poor cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all w_2, w_2 will write a letter, or w_2 is an artist and w_2 will sleep. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which the claim that w_2 will write a letter or w_2 is an artist and the claim that w_2 will write a letter or w_2 will sleep cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a sailor, or x will drink water and x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a sailor or x will drink water and the claim that x is a sailor or x is sad cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a doctor, and either x will write a letter or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a doctor and x will write a letter nor x is a doctor and x will read a book.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z will go running, and either z is a janitor or z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will go running and z is a janitor nor z will go running and z will play tennis.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a musician, or x is an office clerk and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a musician or x is an office clerk and the claim that x is a musician or x will drive a car cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u is a sailor, and either u is an astronaut or u is rich. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a sailor and u is an astronaut nor u is a sailor and u is rich.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a poet, or x will go running and x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a poet or x will go running and the claim that x is a poet or x is an astronaut cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z will sleep, and either z is a cashier or z is a politician. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will sleep and z is a cashier nor z will sleep and z is a politician.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will cook, and either x is an office clerk or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will cook and x is an office clerk nor x will cook and x is a scientist.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u will go running, or u will play squash and u will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will go running or u will play squash and the claim that u will go running or u will listen to a song cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a bartender, or x will play squash and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a bartender or x will play squash and the claim that x is a bartender or x will cook cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all w_2, w_2 is a politician, or w_2 will write a letter and w_2 will work. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which the claim that w_2 is a politician or w_2 will write a letter and the claim that w_2 is a politician or w_2 will work cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u is bored, or u will read a book and u is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is bored or u will read a book and the claim that u is bored or u is a scientist cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is excited, or x will climb a mountain and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is excited or x will climb a mountain and the claim that x is excited or x is a lawyer cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is sad, or x will play squash and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is sad or x will play squash and the claim that x is sad or x will drive a car cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a lawyer, and either x is a carpenter or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a lawyer and x is a carpenter nor x is a lawyer and x will sleep.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will listen to a song, or x is a soldier and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will listen to a song or x is a soldier and the claim that x will listen to a song or x will take a plane cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will take a plane, and either x will work or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will take a plane and x will work nor x will take a plane and x is a carpenter.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z will sleep, and either z will write a letter or z will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will sleep and z will write a letter nor z will sleep and z will climb a mountain.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u is a politician, or u will play tennis and u is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is a politician or u will play tennis and the claim that u is a politician or u is an electrician cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will work, or x is fast and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will work or x is fast and the claim that x will work or x will play a game cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will sleep, or x is an artist and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will sleep or x is an artist and the claim that x will sleep or x will cook cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all w_2, w_2 is a cashier, or w_2 will write a letter and w_2 is a musician. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which the claim that w_2 is a cashier or w_2 will write a letter and the claim that w_2 is a cashier or w_2 is a musician cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will play tennis, or x is a sailor and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play tennis or x is a sailor and the claim that x will play tennis or x is rich cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is poor, or x is sad and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is poor or x is sad and the claim that x is poor or x will drive a car cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will climb a mountain, or x is curious and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will climb a mountain or x is curious and the claim that x will climb a mountain or x is a lawyer cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a doctor, and either x is a poet or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a doctor and x is a poet nor x is a doctor and x will climb a mountain.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will climb a mountain, and either x will go running or x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will climb a mountain and x will go running nor x will climb a mountain and x is a server.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will read a book, or x will cook and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will read a book or x will cook and the claim that x will read a book or x will play tennis cannot both be true.",no
predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u, u is rich, or u will play a game and u will go running. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is rich or u will play a game and the claim that u is rich or u will go running cannot both be true.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is a musician. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a musician.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is rich. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not rich.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is happy. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not happy.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will play a game. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not play a game.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not play tennis.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not poor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not take a plane.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will go running. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not go running.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not a sailor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a janitor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will work. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not work.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an office clerk.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not a doctor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will drink water. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not drink water.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 is a musician. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is not a musician.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not a cashier.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will work. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not work.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is rich. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not rich.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will sleep. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not sleep.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will play a game. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not play a game.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a taxi driver.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v will sleep. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not sleep.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will read a book. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not read a book.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is bored. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not bored.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a mechanic.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not a mechanic.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not play tennis.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is fast. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not fast.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 will play squash. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will not play squash.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will play a game. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not play a game.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u_2, u_2 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is not a soldier.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all v, v is a janitor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a janitor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w_4, w_4 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not listen to a song.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all x, x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is curious. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not curious.",no
predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all w, w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a cashier.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is happy or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a janitor nor x is happy.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will make tea or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a taxi driver nor x will make tea.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will drive a car or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will make tea nor x will drive a car.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all y, y is a taxi driver or y is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y is a sailor nor y is a taxi driver.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is an office clerk or x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a musician nor x is an office clerk.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will go running or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a writer nor x will go running.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will play tennis and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play squash and the claim that x will play tennis cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u_3, u_3 will make tea or u_3 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which neither u_3 is a janitor nor u_3 will make tea.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will write a letter and u will work. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will work and the claim that u will write a letter cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w is a bartender and w is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is a taxi driver and the claim that w is a bartender cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a bartender or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will make tea nor x is a bartender.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v is an astronaut or v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is a taxi driver nor v is an astronaut.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will play a game and u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will play squash and the claim that u will play a game cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will take a plane or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will work nor x will take a plane.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a police officer or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a taxi driver nor x is a police officer.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a scientist or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is bored nor x is a scientist.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will climb a mountain and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and the claim that x will climb a mountain cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is poor and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a lawyer and the claim that x is poor cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v will listen to a song or v is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is an electrician nor v will listen to a song.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a bartender or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a police officer nor x is a bartender.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w will go running and w is happy. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is happy and the claim that w will go running cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a janitor or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep nor x is a janitor.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will climb a mountain and u will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will play tennis and the claim that u will climb a mountain cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is fast and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will write a letter and the claim that x is fast cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is an electrician and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is rich and the claim that x is an electrician cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will drive a car and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is an electrician and the claim that x will drive a car cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v will work or v will play a game. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v will play a game nor v will work.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will go running or x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is an office clerk nor x will go running.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is curious or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep nor x is curious.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w is an electrician and w is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is an office clerk and the claim that w is an electrician cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will play tennis or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a taxi driver nor x will play tennis.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will take a plane or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car nor x will take a plane.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will listen to a song or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will make tea nor x will listen to a song.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will write a letter and x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a doctor and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v will work or v is a police officer. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is a police officer nor v will work.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u_3, u_3 will play tennis or u_3 is sad. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which neither u_3 is sad nor u_3 will play tennis.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will read a book and u is a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is a musician and the claim that u will read a book cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will read a book and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a taxi driver and the claim that x will read a book cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w will drink water and w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is a nurse and the claim that w will drink water cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will drink water and u is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is curious and the claim that u will drink water cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is bored or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will go running nor x is bored.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will make tea and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is poor and the claim that x will make tea cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a server and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will listen to a song and the claim that x is a server cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a taxi driver and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will take a plane and the claim that x is a taxi driver cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will write a letter and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will sleep and the claim that x will write a letter cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a poet or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will work nor x is a poet.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is an electrician or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is fast nor x is an electrician.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v is a bartender or v is a scientist. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is a scientist nor v is a bartender.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a writer and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will climb a mountain and the claim that x is a writer cannot both be true.",no
predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is happy or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a bartender nor x is happy.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is an astronaut, and either x will play a game or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is sad, and either x will climb a mountain or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will drink water, or x will cook and x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will drink water, and either x is a mechanic or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a police officer, or x is a politician and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will sleep, or v_3 is a sailor and v_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will play tennis.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is excited, and either x is a nurse or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some mechanics will work or x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.,no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song, and either x will cook or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will write a letter, and either x will sleep or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a mechanic, or x will work and x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a lawyer, or x will sleep and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u for which u will play tennis, or u is an artist and u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a doctor.",no
predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some cashiers will make tea or v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.,no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will cook, or v_3 is bored and v_3 is a musician. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a writer.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is bored, or x is fast and x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is excited, or x will play squash and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will make tea, and either x is a bartender or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one w_1 for which w_1 will listen to a song, and either w_1 is an astronaut or w_1 is curious. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not bored.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will play a game, or v_3 is rich and v_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not write a letter.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will sleep, or v_3 will drive a car and v_3 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a taxi driver.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will go running, or x is a scientist and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is happy, and either x will read a book or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some cashiers will sleep or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.,no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will write a letter, or x is rich and x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will read a book, and either x will listen to a song or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will take a plane, and either x will read a book or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is happy, or x will read a book and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some carpenters will drink water or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.,no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will work, and either x is a carpenter or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will sleep, or x is a janitor and x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some cashiers will play tennis or v is a server. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not bored.,no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u for which u will play tennis, or u will drink water and u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not climb a mountain.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a doctor, or x will sleep and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a janitor, or x will go running and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a musician, and either x is bored or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a mechanic, or x is curious and x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an office clerk.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a poet, or x will go running and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will make tea, and either x is an office clerk or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a lawyer, or x will work and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a nurse, or x will go running and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a lawyer, or x is a nurse and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will take a plane, or x will listen to a song and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song, or x is an office clerk and x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will cook, and either x is fast or x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u for which u will listen to a song, or u is a police officer and u is a bartender. Can we infer the following from them? Answer yes or no: There is at least one u for which u is an artist.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will play squash, and either x will take a plane or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u for which u will work, or u will play a game and u is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drive a car.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song, and either x is fast or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no
predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is fast, and either x will read a book or x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_3, if v_3 writes a letter, then v_3 is making tea and if v_3 makes tea, then v_3 is writing a letter. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not bored.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is poor and if x were poor, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will write a letter if and only if x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x cooks, then x is taking a plane and if x takes a plane, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will work if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were curious, then x is a cashier and if x were a cashier, then x is curious. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were an artist, then x is cooking and if x cooks, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will write a letter if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x drinks water, then x is a lawyer and if x were a lawyer, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is a taxi driver and if x were a taxi driver, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will play squash if and only if x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_3, if v_3 cooks, then v_3 is reading a book and if v_3 reads a book, then v_3 is cooking. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will play tennis.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is listening to a song and if x listens to a song, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x plays squash, then x is a mechanic and if x were a mechanic, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v, v will climb a mountain if and only if v is poor. Can we infer the following from them? Answer yes or no: For all v, v will play squash.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will write a letter if and only if x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_3, if v_3 were an office clerk, then v_3 is a carpenter and if v_3 were a carpenter, then v_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will drive a car.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_1, if v_1 were sad, then v_1 is making tea and if v_1 makes tea, then v_1 is sad. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not climb a mountain.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all u_3, if u_3 works, then u_3 is an astronaut and if u_3 were an astronaut, then u_3 is working. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will play tennis.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will listen to a song if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_1, if v_1 climbs a mountain, then v_1 is a doctor and if v_1 were a doctor, then v_1 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is not a cashier.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will drink water if and only if x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will drive a car if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x drives a car, then x is an astronaut and if x were an astronaut, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is a carpenter and if x were a carpenter, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all z, if z plays a game, then z is working and if z works, then z is playing a game. Can we infer the following from them? Answer yes or no: For all z, z will not cook.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all u_3, if u_3 were a politician, then u_3 is rich and if u_3 were rich, then u_3 is a politician. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will not make tea.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v, v is a poet if and only if v is a sailor. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will listen to a song if and only if x will work. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x plays a game, then x is excited and if x were excited, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_3, if v_3 were a soldier, then v_3 is happy and if v_3 were happy, then v_3 is a soldier. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a mechanic.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all z, z will play squash if and only if z is a nurse. Can we infer the following from them? Answer yes or no: For all z, z will not cook.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all z, z is a nurse if and only if z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z is curious.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x is an artist if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all u_3, if u_3 were a mechanic, then u_3 is curious and if u_3 were curious, then u_3 is a mechanic. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will not play a game.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v_3, if v_3 makes tea, then v_3 is climbing a mountain and if v_3 climbs a mountain, then v_3 is making tea. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will play a game.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x is a musician if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all z, if z plays squash, then z is listening to a song and if z listens to a song, then z is playing squash. Can we infer the following from them? Answer yes or no: For all z, z is a doctor.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x is bored. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x sleeps, then x is driving a car and if x drives a car, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will cook if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x is rich. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all u_3, if u_3 were an office clerk, then u_3 is fast and if u_3 were fast, then u_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will climb a mountain.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all v, v will take a plane if and only if v is an office clerk. Can we infer the following from them? Answer yes or no: For all v, v is not a musician.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will play squash if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were curious, then x is a server and if x were a server, then x is curious. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x drinks water, then x is playing a game and if x plays a game, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were curious, then x is poor and if x were poor, then x is curious. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were a server, then x is playing squash and if x plays squash, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is not a writer.",no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some sailors are sailors. Can we infer the following from them? Answer yes or no: There is at least one w for which w is excited.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y is a cashier or y is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not poor.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some scientists are scientists. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will not sleep.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w_4 for which w_4 will drive a car or w_4 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not work.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y will listen to a song and y will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a politician.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is an astronaut or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w for which w will play a game or w will play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not make tea.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some bartenders are bartenders. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will take a plane.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is fast or z_2 is fast. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not take a plane.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y will listen to a song and y will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z for which z will drink water or z will drink water. Can we infer the following from them? Answer yes or no: There is at least one z for which z will drive a car.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x_1 for which x_1 will climb a mountain or x_1 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is not a writer.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x_1 for which x_1 is a bartender or x_1 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is a carpenter.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a doctor or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is curious or z_2 is curious. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is not a janitor.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is a police officer and z_2 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will work.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y will drive a car and y will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a doctor.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is an electrician and z_2 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not climb a mountain.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_3 for which z_3 will drink water and z_3 will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is happy.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some nurses are nurses. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a politician.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will work and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z for which z will cook or z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z is rich.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some cashiers are cashiers. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not read a book.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some nurses are nurses. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a writer.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some politicians are politicians. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a server.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will write a letter and z_2 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a cashier.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is a politician or z_2 is a politician. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will listen to a song.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is sad and z_2 is sad. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not play a game.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will make tea or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z for which z will take a plane or z will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not work.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some politicians are politicians. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not excited.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a police officer and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a writer or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y is a police officer and y is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y will play a game and y will play a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y will make tea.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y is a poet or y is a poet. Can we infer the following from them? Answer yes or no: There is at least one y for which y is fast.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y is fast and y is fast. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w for which w is poor or w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a server.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will play squash and v_3 will play squash. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not make tea.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will write a letter or z_2 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will cook.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some writers are writers. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is not curious.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will read a book and y_4 will read a book. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a nurse.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_3 for which z_3 will drive a car and z_3 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is a nurse.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will play tennis or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_3 for which z_3 is rich and z_3 is rich. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not play a game.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is a bartender or z_2 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not take a plane.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is an electrician and x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x_1 for which x_1 is sad or x_1 is sad. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will make tea.,no
predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w for which w will read a book and w will read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all v, v will not write a letter. Can we infer the following from them? Answer yes or no: Patricia is not a taxi driver.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all v, v is not a mechanic. Can we infer the following from them? Answer yes or no: Barbara is driving a car.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no u for which u is bored. Can we infer the following from them? Answer yes or no: Joseph is working.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: Michael is climbing a mountain.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one w_1 for which w_1 will not cook. Can we infer the following from them? Answer yes or no: Patricia is sad.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w, w will not play squash. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x for which x will not play squash. Can we infer the following from them? Answer yes or no: John is not sleeping.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w_3, w_3 is not a writer. Can we infer the following from them? Answer yes or no: Jessica is working.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x is not a taxi driver. Can we infer the following from them? Answer yes or no: Jennifer is not reading a book.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is at least one x for which x will not work. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: Susan is poor.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x_4 for which x_4 is not a janitor. Can we infer the following from them? Answer yes or no: Karen is not happy.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no u for which u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: David is a poet.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all v, v will not drink water. Can we infer the following from them? Answer yes or no: For all v, v will climb a mountain.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not make tea. Can we infer the following from them? Answer yes or no: Linda is a server.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all u_2, u_2 is sad. Can we infer the following from them? Answer yes or no: Barbara is a lawyer.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x will sleep. Can we infer the following from them? Answer yes or no: Susan is not reading a book.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no w for which w is a nurse. Can we infer the following from them? Answer yes or no: For all w, w is excited.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all v, v is not poor. Can we infer the following from them? Answer yes or no: Linda is not reading a book.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no z_4 for which z_4 is a scientist. Can we infer the following from them? Answer yes or no: Jennifer is rich.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all u, u will not drive a car. Can we infer the following from them? Answer yes or no: Sarah is not fast.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w, w will not work. Can we infer the following from them? Answer yes or no: Jessica is not reading a book.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no x for which x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w, w will not drink water. Can we infer the following from them? Answer yes or no: Patricia is driving a car.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x for which x will not climb a mountain. Can we infer the following from them? Answer yes or no: Jennifer is a politician.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x will cook. Can we infer the following from them? Answer yes or no: John is a police officer.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is at least one x for which x will not sleep. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all z_4, z_4 is not a sailor. Can we infer the following from them? Answer yes or no: Joseph is a scientist.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x is a doctor. Can we infer the following from them? Answer yes or no: Susan is not working.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w, w will not play a game. Can we infer the following from them? Answer yes or no: For all w, w is a writer.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x is an office clerk. Can we infer the following from them? Answer yes or no: Jennifer is not sleeping.,no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no w for which w is bored. Can we infer the following from them? Answer yes or no: Richard is not a bartender.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is at least one x for which x is not happy. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not drink water. Can we infer the following from them? Answer yes or no: Joseph is not playing squash.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no x for which x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all u, u is not fast. Can we infer the following from them? Answer yes or no: For all u, u will write a letter.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is at least one u for which u is not sad. Can we infer the following from them? Answer yes or no: For all u, u is excited.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no z_4 for which z_4 will listen to a song. Can we infer the following from them? Answer yes or no: John is making tea.,no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x will play squash. Can we infer the following from them? Answer yes or no: Jessica is not writing a letter.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x is excited. Can we infer the following from them? Answer yes or no: Sarah is a politician.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all v, v will not take a plane. Can we infer the following from them? Answer yes or no: Mary is not drinking water.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x is a sailor. Can we infer the following from them? Answer yes or no: Michael is not a musician.,no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all w_3, w_3 is not a poet. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a cashier.",no
predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x for which x is not a scientist. Can we infer the following from them? Answer yes or no: James is not sleeping.,no
predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x for which x will not drink water. Can we infer the following from them? Answer yes or no: William is not a musician.,no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is sad or y is sad. Can we infer the following from them? Answer yes or no: For all y, y is not a poet.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a doctor or w is a doctor. Can we infer the following from them? Answer yes or no: For all w, w will not drink water.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_3, v_3 will listen to a song or v_3 will listen to a song. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a politician.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y_3, y_3 will write a letter and y_3 will write a letter. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will not read a book.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x_1, x_1 will sleep and x_1 will sleep. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will play squash.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a soldier or x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y_3, y_3 is a server and y_3 is a server. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is rich.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will write a letter or w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w is not a taxi driver.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will play a game and y will play a game. Can we infer the following from them? Answer yes or no: For all y, y will not go running.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_3, v_3 will take a plane or v_3 will take a plane. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will climb a mountain.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is a bartender or y is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is a soldier.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_3, v_3 will make tea or v_3 will make tea. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not sad.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x_1, x_1 will write a letter and x_1 will write a letter. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will sleep.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a musician or w is a musician. Can we infer the following from them? Answer yes or no: For all w, w is not a police officer.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u is a taxi driver and u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a doctor.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x_1, x_1 will read a book and x_1 will read a book. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a politician.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is excited or y is excited. Can we infer the following from them? Answer yes or no: For all y, y will work.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x_1, x_1 is curious and x_1 is curious. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not an electrician.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u_4, u_4 will work and u_4 will work. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a carpenter.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a cashier or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a doctor and w is a doctor. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will take a plane or y will take a plane. Can we infer the following from them? Answer yes or no: For all y, y will make tea.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will climb a mountain and y will climb a mountain. Can we infer the following from them? Answer yes or no: For all y, y is a cashier.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a taxi driver and w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w will not listen to a song.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u_4, u_4 is a scientist and u_4 is a scientist. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will sleep.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u is excited and u is excited. Can we infer the following from them? Answer yes or no: For all u, u is a server.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_3, v_3 will work or v_3 will work. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a soldier.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will make tea or w will make tea. Can we infer the following from them? Answer yes or no: For all w, w is a janitor.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will make tea and y will make tea. Can we infer the following from them? Answer yes or no: For all y, y will not drive a car.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will cook and w will cook. Can we infer the following from them? Answer yes or no: For all w, w will not climb a mountain.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is fast or y is fast. Can we infer the following from them? Answer yes or no: For all y, y will make tea.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will cook or y will cook. Can we infer the following from them? Answer yes or no: For all y, y is not rich.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will read a book or w will read a book. Can we infer the following from them? Answer yes or no: For all w, w is not happy.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a taxi driver and w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w will drink water.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u_4, u_4 is a janitor and u_4 is a janitor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not climb a mountain.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_3, v_3 is bored or v_3 is bored. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not work.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will go running or w will go running. Can we infer the following from them? Answer yes or no: For all w, w is an astronaut.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y_3, y_3 will drive a car and y_3 will drive a car. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a server.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u is fast and u is fast. Can we infer the following from them? Answer yes or no: For all u, u will play squash.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is a police officer or y is a police officer. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w is a cashier and w is a cashier. Can we infer the following from them? Answer yes or no: For all w, w is excited.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is curious and y is curious. Can we infer the following from them? Answer yes or no: For all y, y will take a plane.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u_4, u_4 will climb a mountain and u_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not write a letter.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a nurse or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x_1, x_1 will cook and x_1 will cook. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not rich.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a janitor and x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will take a plane or w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w is a carpenter.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is a nurse or y is a nurse. Can we infer the following from them? Answer yes or no: For all y, y will work.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all w, w will work and w will work. Can we infer the following from them? Answer yes or no: For all w, w will play squash.",no
predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y will sleep and y will sleep. Can we infer the following from them? Answer yes or no: For all y, y will drink water.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all v, v is a musician, then Michael is a mechanic. Can we infer the following from them? Answer yes or no: Karen is running.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it snows, then for all x, x is a lawyer. Can we infer the following from them? Answer yes or no: Sarah is not a writer.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Richard sleeps, then for all x, x will drive a car. Can we infer the following from them? Answer yes or no: Michael is not a doctor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it is cloudy, then there is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: Jessica is not playing a game.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all x, if Richard drinks water, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all x, if it rains, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Linda were happy, then for all x, x is a cashier. Can we infer the following from them? Answer yes or no: Robert is not rich.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if it snows, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Charles were a poet, then there is at least one z for which z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is an electrician.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if it is overcast, then x is a politician. Can we infer the following from them? Answer yes or no: Jennifer is not driving a car.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it is sunny, then for all x, x is excited. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all y, if Richard were a doctor, then y is cooking. Can we infer the following from them? Answer yes or no: Richard is not making tea.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x is a politician, then Jessica is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x is an astronaut, then Jessica is working. Can we infer the following from them? Answer yes or no: Jennifer is drinking water.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it is cold, then there is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: William is not rich.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will listen to a song, then John is cooking. Can we infer the following from them? Answer yes or no: Linda is not a bartender.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if Richard were rich, then x is playing squash. Can we infer the following from them? Answer yes or no: Susan is a janitor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x will go running, then Linda is a writer. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x will cook, then Robert is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will make tea, then Mary is a cashier. Can we infer the following from them? Answer yes or no: Joseph is not an office clerk.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Linda were sad, then there is at least one x for which x is excited. Can we infer the following from them? Answer yes or no: Sarah is drinking water.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all z, if it is overcast, then z is cooking. Can we infer the following from them? Answer yes or no: For all z, z will drink water.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if Jessica writes a letter, then x is making tea. Can we infer the following from them? Answer yes or no: Patricia is a cashier.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it snows, then there is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: Thomas is a cashier.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If James were an office clerk, then there is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: John is a politician.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x is an electrician, then Robert is drinking water. Can we infer the following from them? Answer yes or no: David is not playing a game.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it is sunny, then for all x, x is a bartender. Can we infer the following from them? Answer yes or no: John is not excited.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Mary were a bartender, then for all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will sleep, then it is late. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if John were a bartender, then x is a scientist. Can we infer the following from them? Answer yes or no: Thomas is cooking.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all z, z is a sailor, then Jessica is a scientist. Can we infer the following from them? Answer yes or no: For all z, z is a server.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one u_4 for which if Barbara were a taxi driver, then u_4 is working. Can we infer the following from them? Answer yes or no: Charles is not cooking.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Richard reads a book, then for all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all x, if it is cold, then x is a writer. Can we infer the following from them? Answer yes or no: Linda is not a doctor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will make tea, then Susan is playing a game. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all y, if Jessica were a nurse, then y is taking a plane. Can we infer the following from them? Answer yes or no: Elisabeth is not a taxi driver.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all u_3, if William were a nurse, then u_3 is writing a letter. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is a lawyer.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will play squash, then it is cloudy. Can we infer the following from them? Answer yes or no: Thomas is sad.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x is a cashier, then Robert is a scientist. Can we infer the following from them? Answer yes or no: Jessica is making tea.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If James were a carpenter, then there is at least one x for which x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Jennifer were a police officer, then for all x, x will go running. Can we infer the following from them? Answer yes or no: Joseph is listening to a song.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Jennifer were a mechanic, then there is at least one x for which x is excited. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x will make tea, then Susan is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Patricia were curious, then for all x, x will play a game. Can we infer the following from them? Answer yes or no: Jessica is not cooking.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will sleep, then Barbara is bored. Can we infer the following from them? Answer yes or no: Linda is not poor.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all x, if it is windy, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x will drive a car, then Sarah is excited. Can we infer the following from them? Answer yes or no: David is not playing squash.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Joseph were poor, then for all x, x will work. Can we infer the following from them? Answer yes or no: Joseph is a cashier.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it rains, then for all x, x is a bartender. Can we infer the following from them? Answer yes or no: Joseph is a soldier.",no
predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x_2 for which if Sarah were an office clerk, then x_2 is a bartender. Can we infer the following from them? Answer yes or no: Susan is a sailor.",no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not drink water.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not happy.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w will play tennis. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a politician.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a lawyer.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u is bored.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x_2 for which x_2 is a politician. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which x_2 will play squash.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is excited. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a bartender.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v for which v will play a game. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not rich.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is curious. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will play a game. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will not play tennis.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a police officer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is an electrician.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not work.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which z is an electrician. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not work.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will play squash.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not climb a mountain.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which z will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which z is a politician. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a bartender.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which w is excited.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a politician. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not cook.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is sad. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v for which v will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v will cook.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which z will play a game. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a nurse.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is bored. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not go running.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u will read a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not take a plane.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a cashier.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which z is bored. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u for which u will read a book.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a cashier.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will work. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is not a bartender.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a nurse. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not sad.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is not a janitor.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a carpenter.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v_1 for which v_1 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will not work.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will cook. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will work.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drink water.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v for which v is poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not drive a car.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v for which v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not make tea.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one w for which w is a politician. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a server.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one u for which u is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a cashier.,no
predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.,no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is happy nor x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y, the claim that y will listen to a song and the claim that y will read a book cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y is a police officer.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a writer nor x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y, the claim that y will write a letter and the claim that y is a taxi driver cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y is happy.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y_1, neither y_1 will play tennis nor y_1 is excited. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is not poor.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y_1, neither y_1 will take a plane nor y_1 is an artist. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will not climb a mountain.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is excited nor x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will climb a mountain nor x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all v, the claim that v will take a plane and the claim that v is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v is not bored.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a scientist nor x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will take a plane nor x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, the claim that u is a musician and the claim that u will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u is not an artist.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will listen to a song nor x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will drink water nor x is excited. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y_1, neither y_1 will make tea nor y_1 will take a plane. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a scientist.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play a game nor x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all v, the claim that v is a sailor and the claim that v is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v is a doctor.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is an office clerk nor x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x will drink water and the claim that x is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a musician nor x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is a soldier and the claim that x will go running cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a sailor nor x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will work nor x is curious. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x will climb a mountain and the claim that x is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x_2, the claim that x_2 will read a book and the claim that x_2 is a police officer cannot both be true. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is poor.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, the claim that u is an electrician and the claim that u is happy cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u will climb a mountain.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is bored and the claim that x is curious cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will read a book nor x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is an office clerk nor x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play squash nor x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all y, the claim that y is a sailor and the claim that y will climb a mountain cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y will take a plane.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play a game nor x will go running. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, the claim that u will read a book and the claim that u is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u is sad.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will sleep nor x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is excited nor x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will drive a car nor x will work. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will drink water nor x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all z, the claim that z will sleep and the claim that z will go running cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z will cook.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will cook nor x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x_2, the claim that x_2 will take a plane and the claim that x_2 is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will not play a game.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will sleep nor x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a carpenter nor x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x_2, the claim that x_2 will write a letter and the claim that x_2 will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will not drive a car.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will listen to a song nor x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a bartender nor x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will take a plane nor x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will climb a mountain nor x is poor. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all z, the claim that z is poor and the claim that z is a politician cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z will drink water.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is an electrician nor x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is a bartender and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car and x will listen to a song and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is a server and v_3 will go running and v_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is a janitor.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will climb a mountain and v_3 will write a letter and v_3 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a bartender.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is excited and x will work and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y will drive a car or y is a sailor or y is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not happy.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will play tennis and x is happy and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a musician and x is a bartender and x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a mechanic or x will make tea or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one z for which z will work and z is a lawyer and z is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a sailor.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a server or x will play tennis or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an office clerk and x is an artist and x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one z for which z will play tennis and z will work and z will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z for which z is rich.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will drink water or x will sleep or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain and x is a nurse and x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will work or x is happy or x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will work or x is a server or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will play squash and v_3 will read a book and v_3 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is an office clerk.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will sleep or x is a mechanic or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one z for which z will drink water and z is a taxi driver and z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not write a letter.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter and x will take a plane and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a janitor or x is a nurse or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one z for which z will make tea and z will cook and z is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play a game.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is happy and x is a musician and x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y is a bartender or y will drive a car or y will read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y is happy.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will drink water or x will cook or x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a police officer or x will take a plane or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will cook or x will take a plane or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will drink water or x is a cashier or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will play a game or x will read a book or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will take a plane and x is happy and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a poet or x is happy or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car or x is a musician or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an artist and x will drive a car and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a bartender and x will play tennis and x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter and x is a doctor and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will read a book and x is a soldier and x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will play tennis and x will go running and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a janitor and x will work and x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: Some lawyers will write a letter and x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a soldier or x is poor or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y will make tea or y is sad or y will drink water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a politician or x will play tennis or x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will go running or x will play tennis or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an astronaut or x will write a letter or x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y is a server or y is a doctor or y will sleep. Can we infer the following from them? Answer yes or no: There is at least one y for which y is curious.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will play tennis or x will drive a car or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an office clerk or x is a sailor or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one z for which z is poor and z is a musician and z will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z for which z will write a letter.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is an astronaut and v_3 will play squash and v_3 is rich. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a lawyer.,no
predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an office clerk and x is a musician and x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a soldier.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is rich and x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some nurses will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will go running and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 will make tea or y_1 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will climb a mountain.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will play squash and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will go running or w is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w is a sailor or w will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which w is sad.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 will play tennis or y_1 will read a book. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not cook.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z is a musician and z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z will sleep.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some bartenders will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a mechanic or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v will make tea or v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will take a plane.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v is curious or v will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v is fast.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will listen to a song and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is fast and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v will play tennis or v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a police officer.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z will play a game and z will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which z is excited.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will make tea or w is excited. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not drive a car.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will take a plane and x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z will play a game and z will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play tennis.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a taxi driver or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a nurse or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some doctors will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v will read a book or v is an artist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a server.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will play squash or x_3 is a musician. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will work.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is an astronaut or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 is a taxi driver or x_3 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is not a bartender.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some lawyers will read a book. Can we infer the following from them? Answer yes or no: There is at least one v for which v will go running.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 is a police officer or x_3 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will play tennis.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z will cook and z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z is curious.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w is an office clerk or w will play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a scientist.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a janitor or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 is sad or y_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a scientist.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will sleep or x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z will read a book and z is rich. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not listen to a song.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a carpenter or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v is an office clerk or v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which v is curious.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will listen to a song or x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is happy or x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v is fast and v is happy. Can we infer the following from them? Answer yes or no: There is at least one v for which v will go running.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one y_1 for which y_1 is a doctor or y_1 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will take a plane.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 is bored or x_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is not a taxi driver.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some servers will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a police officer or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z for which z will play a game and z is a soldier. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is rich or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an office clerk.,no
predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will cook and the claim that x will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a musician nor x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one y for which the claim that y will write a letter and the claim that y is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play a game.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z for which neither z will play tennis nor z is a doctor. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not cook.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is fast and the claim that x will go running cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will read a book and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a poet nor x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a janitor nor x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one y for which the claim that y will drink water and the claim that y is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not listen to a song.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which the claim that w_2 will play tennis and the claim that w_2 will go running cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is bored.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u will play a game and the claim that u is bored cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not cook.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will play tennis nor x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is an office clerk nor x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z_4 for which neither z_4 will drive a car nor z_4 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not an astronaut.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will read a book nor x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is a server and the claim that x will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will sleep nor x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which the claim that w_2 will climb a mountain and the claim that w_2 is bored cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will cook.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which the claim that w_2 is a musician and the claim that w_2 will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not play a game.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will listen to a song nor x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will listen to a song nor x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will play squash and the claim that x is a politician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will write a letter and the claim that x is poor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which the claim that w_2 is a taxi driver and the claim that w_2 is sad cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a cashier.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u is an office clerk and the claim that u is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not go running.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u is a lawyer and the claim that u is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not play tennis.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is poor nor x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u is an astronaut and the claim that u will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u will listen to a song.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is a server and the claim that x is rich cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is a janitor and the claim that x is rich cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will play squash nor x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z_4 for which neither z_4 will listen to a song nor z_4 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not bored.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z_4 for which neither z_4 is happy nor z_4 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is bored.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u is poor and the claim that u is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which the claim that w_2 is an electrician and the claim that w_2 will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not write a letter.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is excited and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a cashier nor x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is sad and the claim that x will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z_4 for which neither z_4 is a musician nor z_4 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will not drive a car.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will take a plane nor x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is a server and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a taxi driver.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one z for which neither z will play squash nor z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not take a plane.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will listen to a song and the claim that x is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will read a book and the claim that x will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one u for which the claim that u will sleep and the claim that u is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a janitor.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a lawyer nor x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will listen to a song and the claim that x will drink water cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is a poet and the claim that x is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x will drink water and the claim that x will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.,no
predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which the claim that x is fast and the claim that x is rich cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.,no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a sailor, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z plays squash, then z is writing a letter. Can we infer the following from them? Answer yes or no: For all z, z is not a doctor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not drink water or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not make tea or x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not play tennis or x is rich. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a soldier or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not curious or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a lawyer or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x works, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z works, then z is poor. Can we infer the following from them? Answer yes or no: For all z, z is an electrician.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a nurse or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not make tea or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x makes tea, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not cook or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a poet or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z were a taxi driver, then z is a police officer. Can we infer the following from them? Answer yes or no: For all z, z is an electrician.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a carpenter or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were sad, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a janitor, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all y_4, if y_4 cooks, then y_4 is a bartender. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will write a letter.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not play a game or x is happy. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were poor, then x is working. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a musician, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z were a police officer, then z is a writer. Can we infer the following from them? Answer yes or no: For all z, z will sleep.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x cooks, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were happy, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not sleep or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a politician, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z drives a car, then z is drinking water. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z climbs a mountain, then z is a writer. Can we infer the following from them? Answer yes or no: For all z, z is not an electrician.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not make tea or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a soldier or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z were a janitor, then z is driving a car. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is bored.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a lawyer, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were an artist, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x drinks water, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a musician or x is fast. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z were a sailor, then z is a carpenter. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is working. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a cashier, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a cashier or x will work. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not go running or x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all z, if z were poor, then z is an electrician. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x cooks, then x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not listen to a song or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a taxi driver, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no
predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x sleeps, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will drink water or x will sleep. Can we infer the following from them? Answer yes or no: Sarah is fast.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will sleep and y_4 will make tea. Can we infer the following from them? Answer yes or no: Robert is running.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all w, w will climb a mountain and for all w, w will play squash. Can we infer the following from them? Answer yes or no: Elisabeth is running.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will take a plane or for all x, x will sleep. Can we infer the following from them? Answer yes or no: David is not running.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is fast or for all x, x is a soldier. Can we infer the following from them? Answer yes or no: John is a carpenter.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one z for which z will sleep or z is happy. Can we infer the following from them? Answer yes or no: Susan is not driving a car.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is a taxi driver and x will cook. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is a doctor and x will cook. Can we infer the following from them? Answer yes or no: Joseph is not a cashier.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x will sleep or there is at least one x for which x will work. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is bored and for all x, x is a bartender. Can we infer the following from them? Answer yes or no: Susan is fast.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will listen to a song or for all x, x is a sailor. Can we infer the following from them? Answer yes or no: John is not playing squash.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will drink water or there is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: David is a sailor.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will read a book and for all x, x will drink water. Can we infer the following from them? Answer yes or no: Thomas is a mechanic.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will drink water and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will work and x will drink water. Can we infer the following from them? Answer yes or no: Susan is reading a book.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: Some scientists are doctors. Can we infer the following from them? Answer yes or no: James is not drinking water.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x is a mechanic and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one u_4 for which u_4 will take a plane and u_4 is a janitor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a nurse.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all w, w will make tea and for all w, w is a sailor. Can we infer the following from them? Answer yes or no: Susan is not listening to a song.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will write a letter or there is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: Mary is a doctor.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x is a soldier or x will play a game. Can we infer the following from them? Answer yes or no: Jessica is playing squash.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will read a book or for all x, x will make tea. Can we infer the following from them? Answer yes or no: James is writing a letter.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will play a game and x is an office clerk. Can we infer the following from them? Answer yes or no: Michael is not sleeping.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is sad and x will work. Can we infer the following from them? Answer yes or no: Susan is a server.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will drink water or x will go running. Can we infer the following from them? Answer yes or no: Barbara is taking a plane.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will drink water and for all x, x will go running. Can we infer the following from them? Answer yes or no: Thomas is a politician.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will play squash or for all x, x will read a book. Can we infer the following from them? Answer yes or no: James is bored.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is a politician or for all x, x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is curious or for all x, x is an artist. Can we infer the following from them? Answer yes or no: Linda is driving a car.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will play a game or x will write a letter. Can we infer the following from them? Answer yes or no: Karen is a police officer.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is happy and x will drive a car. Can we infer the following from them? Answer yes or no: David is not running.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one z for which z will drink water or z is a bartender. Can we infer the following from them? Answer yes or no: William is not working.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is an office clerk and x will drink water. Can we infer the following from them? Answer yes or no: Patricia is not curious.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will make tea or x is a nurse. Can we infer the following from them? Answer yes or no: Elisabeth is climbing a mountain.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will play a game or x will play tennis. Can we infer the following from them? Answer yes or no: Barbara is an astronaut.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will write a letter or for all x, x is a janitor. Can we infer the following from them? Answer yes or no: Patricia is not playing tennis.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one u for which u is a cashier or u will play a game. Can we infer the following from them? Answer yes or no: Susan is not working.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is a taxi driver and x will sleep. Can we infer the following from them? Answer yes or no: Linda is a writer.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x will work and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will read a book and x is a taxi driver. Can we infer the following from them? Answer yes or no: Charles is fast.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will take a plane or there is at least one x for which x is a poet. Can we infer the following from them? Answer yes or no: Charles is playing squash.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x is a musician or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x is a scientist or x is excited. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will play tennis or x will sleep. Can we infer the following from them? Answer yes or no: David is poor.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one u for which u will play a game or u will play squash. Can we infer the following from them? Answer yes or no: William is reading a book.,no
predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will work or there is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: Sarah is a police officer.,no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all v_2, v_2 is curious and v_2 will play a game. Can we infer the following from them? Answer yes or no: Michael is drinking water.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will cook and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will play tennis and for all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: James is not playing a game.",no
predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will go running and for all x, x will drive a car. Can we infer the following from them? Answer yes or no: Jennifer is not taking a plane.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x plays a game, then x is writing a letter and if x writes a letter, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were sad, then x is working and if x works, then x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not happy.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were poor, then x is cooking and if x cooks, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z is a sailor if and only if z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will sleep.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one v_1 for which v_1 will drink water if and only if v_1 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is an artist.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a writer, then x is happy and if x were happy, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one u for which if u were a cashier, then u is climbing a mountain and if u climbs a mountain, then u is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not make tea.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a politician, then x is taking a plane and if x takes a plane, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter if and only if x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v sleeps, then v is playing a game and if v plays a game, then v is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not play squash.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will play tennis if and only if x_3 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a nurse.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were a taxi driver, then v is working and if v works, then v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a server.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car if and only if x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a writer, then x is an electrician and if x were an electrician, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a doctor, then x is a writer and if x were a writer, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were an artist, then x is climbing a mountain and if x climbs a mountain, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will play squash if and only if x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w for which w is an astronaut if and only if w is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a soldier.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one u for which u is a scientist if and only if u will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not write a letter.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z is a mechanic if and only if z is a musician. Can we infer the following from them? Answer yes or no: There is at least one z for which z is excited.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x writes a letter, then x is making tea and if x makes tea, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one u for which u will go running if and only if u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not play tennis.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x reads a book, then x is a nurse and if x were a nurse, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x is poor if and only if x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will play a game if and only if x_3 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not work.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is a janitor and if x were a janitor, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x plays a game, then x is reading a book and if x reads a book, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were bored, then v is climbing a mountain and if v climbs a mountain, then v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not sleep.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z is an electrician if and only if z will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not bored.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were poor, then x is a janitor and if x were a janitor, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a server, then x is playing a game and if x plays a game, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will take a plane if and only if x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x writes a letter, then x is playing a game and if x plays a game, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z will make tea if and only if z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w for which w will make tea if and only if w will drink water. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one v_1 for which v_1 will read a book if and only if v_1 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will not go running.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will play tennis if and only if x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w for which w will play a game if and only if w is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one w for which w is sad.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will take a plane if and only if x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a writer, then x is an artist and if x were an artist, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w for which w is a police officer if and only if w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a carpenter.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x cooks, then x is playing squash and if x plays squash, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a nurse, then x is making tea and if x makes tea, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x plays squash, then x is drinking water and if x drinks water, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one v_1 for which v_1 is a politician if and only if v_1 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will play tennis.,no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one v_1 for which v_1 is a musician if and only if v_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will not write a letter.,no
predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were excited, then v is playing squash and if v plays squash, then v is excited. Can we infer the following from them? Answer yes or no: There is at least one v for which v will read a book.",no
predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w for which w will take a plane if and only if w will cook. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x will not take a plane or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will not play squash or x_3 is a politician. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a writer.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x writes a letter, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a writer or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were an artist, then v is reading a book. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one y_1 for which if y_1 were poor, then y_1 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a janitor.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not sad or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a musician or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were fast, then v is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not an astronaut.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z is not an artist or z will make tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not work.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z will not play tennis or z will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not listen to a song.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x plays squash, then x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not an artist or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a sailor, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were a poet, then v is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not read a book.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a scientist, then x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 is not sad or x_3 is a musician. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a scientist.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z is not a poet or z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a cashier.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x will not drink water or x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will not drink water or x_3 is poor. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is rich.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x reads a book, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one w for which if w writes a letter, then w is happy. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not listen to a song.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x will not make tea or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one w for which if w drinks water, then w is bored. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not listen to a song.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were a server, then v is a nurse. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a politician.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a bartender or x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not rich or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z will not play tennis or z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one u for which u is not a carpenter or u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not fast.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x makes tea, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one w for which if w climbs a mountain, then w is excited. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not listen to a song.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one y_1 for which if y_1 were fast, then y_1 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not a poet.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x plays tennis, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not an artist or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x_3 for which x_3 will not read a book or x_3 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not climb a mountain.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z will not drive a car or z is curious. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play tennis.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z will not sleep or z is excited. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an electrician.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a janitor, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a sailor or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z will not sleep or z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not play a game.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not an astronaut or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x will not play squash or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one w for which if w were sad, then w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not go running.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v cooks, then v is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a taxi driver.",no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one y_1 for which if y_1 drives a car, then y_1 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is a poet.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z is not poor or z will sleep. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not bored.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one z for which z is not a carpenter or z is excited. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a lawyer.,no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one u for which u will not play a game or u will drink water. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not sleep.,no
predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were a nurse, then v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a scientist.",no
predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a writer or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.,no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is a lawyer or z is an astronaut or z is sad. Can we infer the following from them? Answer yes or no: For all z, z is not a nurse.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will go running or x is curious or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drive a car or x will climb a mountain or x is curious. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will write a letter and x will take a plane and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain or x will play a game or x will go running. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is bored and x will listen to a song and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is bored and x is an astronaut and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will play a game or z is poor or z is bored. Can we infer the following from them? Answer yes or no: For all z, z is sad.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will cook and x will drive a car and x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will read a book or x will cook or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a nurse and x will cook and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is a taxi driver or z is a cashier or z will play tennis. Can we infer the following from them? Answer yes or no: For all z, z will not play squash.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will read a book or z will play a game or z will go running. Can we infer the following from them? Answer yes or no: For all z, z is not an astronaut.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is a server or z will play a game or z will cook. Can we infer the following from them? Answer yes or no: For all z, z is not a bartender.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will drive a car or z is a bartender or z is a mechanic. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain or x is an astronaut or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is fast or z is a lawyer or z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will make tea.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an electrician or x will listen to a song or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is an astronaut or z will write a letter or z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z is not a cashier.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will go running and x will read a book and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all w, w is fast and w is a doctor and w will make tea. Can we infer the following from them? Answer yes or no: For all w, w is not a police officer.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is happy and x is a soldier and x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drive a car or x will play tennis or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a politician or x will listen to a song or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will take a plane or x is happy or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all y_4, y_4 will make tea and y_4 will read a book and y_4 is a sailor. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will not play a game.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all w, w will play tennis and w is a writer and w is an office clerk. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will read a book and x is a carpenter and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will work and x is a soldier and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all w, w will drive a car and w will sleep and w is a politician. Can we infer the following from them? Answer yes or no: For all w, w is a mechanic.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is excited or z will take a plane or z is bored. Can we infer the following from them? Answer yes or no: For all z, z is an artist.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will cook and x will read a book and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drink water or x will play a game or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is fast or x will work or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will go running or x is a janitor or x will work. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will read a book or x will play squash or x is sad. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is happy or x will drink water or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z is rich or z will drink water or z will play a game. Can we infer the following from them? Answer yes or no: For all z, z is bored.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an office clerk or x is an astronaut or x is sad. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a scientist or x will play a game or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will play squash or z is a cashier or z is a nurse. Can we infer the following from them? Answer yes or no: For all z, z is curious.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will work or z will cook or z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, z will not take a plane.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will go running and x will climb a mountain and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an astronaut or x will write a letter or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will sleep or x will go running or x is excited. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all z, z will play squash or z is curious or z is an astronaut. Can we infer the following from them? Answer yes or no: For all z, z will write a letter.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drink water or x is sad or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is fast or x will read a book or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will go running or x is a mechanic or x is happy. Can we infer the following from them? Answer yes or no: For all x, x is bored.",no
predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an electrician and x is curious and x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v_3, v_3 will work, or v_3 is a police officer and v_3 is a soldier. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not rich.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v_3, v_3 will make tea, or v_3 is a writer and v_3 is a sailor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not sleep.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will take a plane, and either x is an office clerk or x will go running. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is happy, and either x will read a book or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v is poor, or v will play a game and v will cook. Can we infer the following from them? Answer yes or no: For all v, v will go running.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a doctor, and either x is sad or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will sleep, and either v is a server or v will go running. Can we infer the following from them? Answer yes or no: For all v, v is not poor.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v_3, v_3 will cook, or v_3 will take a plane and v_3 is an artist. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an office clerk.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will read a book, and either x is a poet or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will play tennis, and either v will cook or v is a taxi driver. Can we infer the following from them? Answer yes or no: For all v, v is not a poet.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will drive a car, and either x will work or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a lawyer, and either x will drive a car or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a janitor, or x is a musician and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a server, or x is an electrician and x is sad. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is happy, and either x is a nurse or x is curious. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a scientist, and either x is an astronaut or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all y, y will play a game, or y will cook and y will read a book. Can we infer the following from them? Answer yes or no: For all y, y will not climb a mountain.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all y, y is fast, or y is rich and y will make tea. Can we infer the following from them? Answer yes or no: For all y, y is not excited.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is an office clerk, and either x will work or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will play a game, or v is a janitor and v is a server. Can we infer the following from them? Answer yes or no: For all v, v will not play squash.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v is a doctor, or v will drink water and v is an artist. Can we infer the following from them? Answer yes or no: For all v, v will sleep.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will play squash, or x will work and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v is a mechanic, or v is fast and v will read a book. Can we infer the following from them? Answer yes or no: For all v, v is not a lawyer.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will play a game, and either x is excited or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v_3, v_3 is a nurse, or v_3 is a lawyer and v_3 is rich. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will take a plane.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will drive a car, and either v is a politician or v will play tennis. Can we infer the following from them? Answer yes or no: For all v, v is a musician.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v is an artist, or v will sleep and v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will not read a book.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will sleep, and either x is a server or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a soldier, and either x will read a book or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will write a letter, or x is a doctor and x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will listen to a song, or x will work and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is sad, and either x is rich or x is bored. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will sleep, or v is an artist and v is a bartender. Can we infer the following from them? Answer yes or no: For all v, v will play a game.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will cook, and either x will listen to a song or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will cook, or x is a bartender and x is rich. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will play squash, or x is a writer and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will listen to a song, or x will cook and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will read a book, or x will listen to a song and x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will work, and either x will play a game or x is curious. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all y, y is a scientist, or y will take a plane and y will sleep. Can we infer the following from them? Answer yes or no: For all y, y is not a mechanic.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is happy, or x is a nurse and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will go running, or x is a nurse and x is a server. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a poet, or x will make tea and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a lawyer, and either x will listen to a song or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all y, y will climb a mountain, or y is a lawyer and y is a doctor. Can we infer the following from them? Answer yes or no: For all y, y is not bored.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is rich, or x is a writer and x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will play squash, and either x will play a game or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is not a server.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will play squash, and either v will read a book or v will climb a mountain. Can we infer the following from them? Answer yes or no: For all v, v is a lawyer.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all v, v will play squash, or v is an astronaut and v is a sailor. Can we infer the following from them? Answer yes or no: For all v, v is happy.",no
predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a taxi driver, or x is a police officer and x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y is a soldier. Can we infer the following from them? Answer yes or no: For all y, y is a musician.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u will sleep. Can we infer the following from them? Answer yes or no: For all u, u will drink water.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y is a writer. Can we infer the following from them? Answer yes or no: For all y, y is poor.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not a nurse.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_1, v_1 is a taxi driver. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will take a plane.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x_2, x_2 is a cashier. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will work.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_2, v_2 will drink water. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will not make tea.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will play squash. Can we infer the following from them? Answer yes or no: For all y, y will not work.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will write a letter. Can we infer the following from them? Answer yes or no: For all y, y will not listen to a song.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_2, v_2 is rich. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is not an electrician.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_2, v_2 is a scientist. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is an electrician.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_2, v_2 is a soldier. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will not drive a car.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u will make tea. Can we infer the following from them? Answer yes or no: For all u, u will write a letter.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x_2, x_2 will play a game. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is a server.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all z, z will drink water. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will go running. Can we infer the following from them? Answer yes or no: For all y, y will not play a game.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is sad. Can we infer the following from them? Answer yes or no: For all u, u is not a carpenter.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will sleep.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y is bored. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is a politician. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will drive a car. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_1, v_1 is a politician. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a writer.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is not a janitor.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is not a mechanic.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x_2, x_2 will go running. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is not a bartender.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_2, v_2 will cook. Can we infer the following from them? Answer yes or no: For all v_2, v_2 will drive a car.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is an office clerk. Can we infer the following from them? Answer yes or no: For all u, u will climb a mountain.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u will make tea. Can we infer the following from them? Answer yes or no: For all u, u will not write a letter.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all z, z will play squash. Can we infer the following from them? Answer yes or no: For all z, z is not a mechanic.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is poor. Can we infer the following from them? Answer yes or no: For all u, u will not go running.",no
predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all u, u is a poet. Can we infer the following from them? Answer yes or no: For all u, u will not sleep.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will drink water and x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all y, y is a sailor or y will play a game. Can we infer the following from them? Answer yes or no: For all y, y is a cashier.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will cook or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 will climb a mountain or w_2 will read a book. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not write a letter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 will climb a mountain and w_3 will drive a car. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not fast.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 is a carpenter or w_2 will take a plane. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not climb a mountain.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will write a letter and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will make tea and x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 is a mechanic or w_2 will play tennis. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is not poor.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will drive a car and x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v_1, v_1 is an office clerk or v_1 will work. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not climb a mountain.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 will work and w_3 is an electrician. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not a carpenter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w will take a plane and w will drink water. Can we infer the following from them? Answer yes or no: For all w, w is not a musician.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a janitor or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v, v is a mechanic or v is rich. Can we infer the following from them? Answer yes or no: For all v, v will not drink water.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w is a taxi driver and w is a writer. Can we infer the following from them? Answer yes or no: For all w, w will not read a book.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a bartender and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w will write a letter and w will go running. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a nurse and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not curious.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 is a nurse and w_3 is an artist. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not write a letter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will take a plane or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will go running and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will cook or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 will go running and w_3 is a bartender. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a sailor.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all y, y is an astronaut or y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y is a sailor.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will cook or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 is a lawyer and w_3 is a carpenter. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not read a book.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a lawyer and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 will cook or w_2 is a mechanic. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is a carpenter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 is curious or w_2 is a soldier. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not drive a car.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will read a book or x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will drink water and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w will climb a mountain and w is a sailor. Can we infer the following from them? Answer yes or no: For all w, w is a cashier.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_2, w_2 is bored or w_2 will play squash. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not climb a mountain.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a musician or x is sad. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will listen to a song and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a scientist and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is an office clerk and x will cook. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will take a plane and x is poor. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will play squash or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a nurse and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v, v will make tea or v is an office clerk. Can we infer the following from them? Answer yes or no: For all v, v is a taxi driver.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_3, w_3 is a taxi driver and w_3 will play a game. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a police officer.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a musician and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w will play tennis and w is a bartender. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is rich or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will write a letter or x will work. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: Michael is a taxi driver.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is poor. Can we infer the following from them? Answer yes or no: Y is poor.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z_3, z_3 will play squash. Can we infer the following from them? Answer yes or no: V is playing squash.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v is sad. Can we infer the following from them? Answer yes or no: Y_3 is sad.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is fast. Can we infer the following from them? Answer yes or no: Sarah is fast.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is a lawyer. Can we infer the following from them? Answer yes or no: Patricia is a lawyer.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: Y is rich.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: Y is making tea.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: David is making tea.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will sleep. Can we infer the following from them? Answer yes or no: Jessica is sleeping.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z is a scientist. Can we infer the following from them? Answer yes or no: William is a scientist.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will read a book. Can we infer the following from them? Answer yes or no: Elisabeth is reading a book.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: Y is a taxi driver.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all u, u will drink water. Can we infer the following from them? Answer yes or no: Joseph is drinking water.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: V_3 is cooking.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: Y is listening to a song.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: Richard is playing a game.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will drink water. Can we infer the following from them? Answer yes or no: Barbara is drinking water.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: Y is working.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: Y is playing squash.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: V_3 is climbing a mountain.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z_3, z_3 is a cashier. Can we infer the following from them? Answer yes or no: V is a cashier.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v will sleep. Can we infer the following from them? Answer yes or no: Y_3 is sleeping.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all u, u will work. Can we infer the following from them? Answer yes or no: Michael is working.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z is bored. Can we infer the following from them? Answer yes or no: Joseph is bored.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is fast. Can we infer the following from them? Answer yes or no: Y is fast.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all u_3, u_3 is a nurse. Can we infer the following from them? Answer yes or no: Z is a nurse.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: Y is listening to a song.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: Y is a mechanic.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all u, u will sleep. Can we infer the following from them? Answer yes or no: Barbara is sleeping.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is an artist. Can we infer the following from them? Answer yes or no: Barbara is an artist.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z_3, z_3 will sleep. Can we infer the following from them? Answer yes or no: V is sleeping.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will work. Can we infer the following from them? Answer yes or no: X_3 is working.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is fast. Can we infer the following from them? Answer yes or no: X_3 is fast.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z is a police officer. Can we infer the following from them? Answer yes or no: David is a police officer.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v will write a letter. Can we infer the following from them? Answer yes or no: Y_3 is writing a letter.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: Y is playing a game.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: V_3 is a lawyer.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: Y is rich.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: Y is a politician.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will climb a mountain. Can we infer the following from them? Answer yes or no: X_3 is climbing a mountain.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is a police officer. Can we infer the following from them? Answer yes or no: David is a police officer.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z_3, z_3 will listen to a song. Can we infer the following from them? Answer yes or no: V is listening to a song.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: Y is cooking.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will sleep. Can we infer the following from them? Answer yes or no: Thomas is sleeping.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a server. Can we infer the following from them? Answer yes or no: Y is a server.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z_3, z_3 will play a game. Can we infer the following from them? Answer yes or no: V is playing a game.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will read a book. Can we infer the following from them? Answer yes or no: Charles is reading a book.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is a lawyer. Can we infer the following from them? Answer yes or no: Karen is a lawyer.",yes
predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: Mary is cooking.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a taxi driver if and only if x is a politician. Can we infer the following from them? Answer yes or no: For all x, if x were a politician, then x is a taxi driver.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not read a book. For all x, x will climb a mountain if and only if x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w will not drink water. For all w, w will play tennis if and only if w will drink water. Can we infer the following from them? Answer yes or no: For all w, w will not play tennis.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will climb a mountain if and only if x will go running. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not climb a mountain. For all x, x will climb a mountain if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not work. For all x, x will work if and only if x is excited. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not an electrician. For all x, x is an electrician if and only if x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all y, y is a poet if and only if y will make tea. Can we infer the following from them? Answer yes or no: For all y, if y makes tea, then y is a poet.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is bored if and only if x is a writer. Can we infer the following from them? Answer yes or no: For all x, if x were bored, then x is a writer.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will make tea if and only if x is a poet. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is a poet.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will climb a mountain if and only if x is rich. Can we infer the following from them? Answer yes or no: For all x, if x climbs a mountain, then x is rich.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w is an astronaut if and only if w will go running. Can we infer the following from them? Answer yes or no: For all w, if w goes running, then w is an astronaut.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all u, u is not a doctor. For all u, u is a doctor if and only if u is happy. Can we infer the following from them? Answer yes or no: For all u, u is not happy.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will play squash if and only if x is a cashier. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is an artist if and only if x will play tennis. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is an artist.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not sleep. For all x, x will make tea if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w will not play a game. For all w, w will cook if and only if w will play a game. Can we infer the following from them? Answer yes or no: For all w, w will not cook.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not go running. For all x, x is an artist if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w will not take a plane. For all w, w is a writer if and only if w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w is not a writer.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all v, v is not a police officer. For all v, v is a lawyer if and only if v is a police officer. Can we infer the following from them? Answer yes or no: For all v, v is not a lawyer.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w is curious if and only if w will work. Can we infer the following from them? Answer yes or no: For all w, if w works, then w is curious.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all v, v will not play squash. For all v, v is a writer if and only if v will play squash. Can we infer the following from them? Answer yes or no: For all v, v is not a writer.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z is not a soldier. For all z, z is a nurse if and only if z is a soldier. Can we infer the following from them? Answer yes or no: For all z, z is not a nurse.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will work if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, if x works, then x is climbing a mountain.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not sleep. For all x, x is a carpenter if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not a writer. For all x, x is fast if and only if x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will cook if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, if x cooks, then x is running.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not go running. For all x, x will go running if and only if x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w will not read a book. For all w, w is curious if and only if w will read a book. Can we infer the following from them? Answer yes or no: For all w, w is not curious.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all v, v is not curious. For all v, v is a cashier if and only if v is curious. Can we infer the following from them? Answer yes or no: For all v, v is not a cashier.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all y, y is an electrician if and only if y will make tea. Can we infer the following from them? Answer yes or no: For all y, if y makes tea, then y is an electrician.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w is an astronaut if and only if w will climb a mountain. For all w, w will not climb a mountain. Can we infer the following from them? Answer yes or no: For all w, w is not an astronaut.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z will not play squash. For all z, z will play squash if and only if z will listen to a song. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all u_3, u_3 will climb a mountain if and only if u_3 will drive a car. Can we infer the following from them? Answer yes or no: For all u_3, if u_3 drives a car, then u_3 is climbing a mountain.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w will climb a mountain if and only if w will cook. For all w, w will not cook. Can we infer the following from them? Answer yes or no: For all w, w will not climb a mountain.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all y, y will go running if and only if y will sleep. Can we infer the following from them? Answer yes or no: For all y, if y goes running, then y is sleeping.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not play tennis. For all x, x will sleep if and only if x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all v, v will make tea if and only if v is a doctor. For all v, v is not a doctor. Can we infer the following from them? Answer yes or no: For all v, v will not make tea.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all u, u is not a police officer. For all u, u is a police officer if and only if u is an artist. Can we infer the following from them? Answer yes or no: For all u, u is not an artist.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all y, y is a scientist if and only if y will take a plane. Can we infer the following from them? Answer yes or no: For all y, if y were a scientist, then y is taking a plane.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is fast if and only if x is a scientist. For all x, x is not a scientist. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w, w is a lawyer if and only if w is a bartender. For all w, w is not a bartender. Can we infer the following from them? Answer yes or no: For all w, w is not a lawyer.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is bored if and only if x will read a book. For all x, x is not bored. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a lawyer if and only if x will play squash. Can we infer the following from them? Answer yes or no: For all x, if x were a lawyer, then x is playing squash.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not curious. For all x, x is curious if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all y, y will play squash if and only if y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, if y were a taxi driver, then y is playing squash.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a mechanic if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, if x were a lawyer, then x is a mechanic.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z is a taxi driver if and only if z will read a book. For all z, z is not a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not work. For all x, x will work if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",yes
predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a musician if and only if x is a janitor. For all x, x is not a janitor. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u will read a book and u will go running. Can we infer the following from them? Answer yes or no: For all u, u will read a book.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will cook and x will work. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is curious and w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w will write a letter.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is a lawyer and w will drink water. Can we infer the following from them? Answer yes or no: For all w, w will drink water.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will play tennis and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u is rich and u will work. Can we infer the following from them? Answer yes or no: For all u, u is rich.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a poet and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is rich and w is a doctor. Can we infer the following from them? Answer yes or no: For all w, w is a doctor.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is sad and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is sad.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w_1, w_1 will listen to a song and w_1 will read a book. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will listen to a song.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will drive a car and w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w will write a letter.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will listen to a song and w will climb a mountain. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is a police officer and w will listen to a song. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u will make tea and u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a taxi driver.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will listen to a song and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will work and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will work.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will go running and w is a nurse. Can we infer the following from them? Answer yes or no: For all w, w is a nurse.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a poet and x is rich. Can we infer the following from them? Answer yes or no: For all x, x is rich.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will climb a mountain and w is poor. Can we infer the following from them? Answer yes or no: For all w, w is poor.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is a taxi driver and w will play squash. Can we infer the following from them? Answer yes or no: For all w, w is a taxi driver.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will climb a mountain and w will make tea. Can we infer the following from them? Answer yes or no: For all w, w will climb a mountain.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is a musician and w is excited. Can we infer the following from them? Answer yes or no: For all w, w is a musician.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will play tennis and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u is a musician and u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u is a musician.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is bored and w is poor. Can we infer the following from them? Answer yes or no: For all w, w is bored.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will go running and w is an electrician. Can we infer the following from them? Answer yes or no: For all w, w will go running.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a server and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a server.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is poor and w is a musician. Can we infer the following from them? Answer yes or no: For all w, w is poor.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is an artist and w is a politician. Can we infer the following from them? Answer yes or no: For all w, w is a politician.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will listen to a song and w will work. Can we infer the following from them? Answer yes or no: For all w, w will work.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will drink water and x is fast. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will climb a mountain and w is a politician. Can we infer the following from them? Answer yes or no: For all w, w will climb a mountain.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u will go running and u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u will write a letter.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is poor and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is poor.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w_1, w_1 will take a plane and w_1 will climb a mountain. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will climb a mountain.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will work and w is a poet. Can we infer the following from them? Answer yes or no: For all w, w will work.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a taxi driver and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u will play tennis and u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will work and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all u, u will make tea and u is an electrician. Can we infer the following from them? Answer yes or no: For all u, u will make tea.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will climb a mountain and w is curious. Can we infer the following from them? Answer yes or no: For all w, w will climb a mountain.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w is bored and w will read a book. Can we infer the following from them? Answer yes or no: For all w, w is bored.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w, w will sleep and w will drive a car. Can we infer the following from them? Answer yes or no: For all w, w will drive a car.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will write a letter and x is excited. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is fast and x is poor. Can we infer the following from them? Answer yes or no: For all x, x is fast.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a lawyer and x is excited. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is an artist and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w_1, w_1 is poor and w_1 will read a book. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is poor.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all w_1, w_1 is poor and w_1 will take a plane. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will take a plane.",yes
predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a cashier and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",yes
predicate,inference,existential generalization,inference,Consider the following premises: Patricia is a musician. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a musician.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Thomas is sad. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is sad.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Robert is a writer. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is a writer.,yes
predicate,inference,existential generalization,inference,Consider the following premises: John is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will take a plane.,yes
predicate,inference,existential generalization,inference,Consider the following premises: John is a poet. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a poet.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Elisabeth is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a scientist.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Sarah is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play a game.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Joseph is playing squash. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will play squash.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Linda is drinking water. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drink water.,yes
predicate,inference,existential generalization,inference,Consider the following premises: William is playing squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Charles is a politician. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a politician.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Joseph is curious. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is curious.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Charles is excited. Can we infer the following from them? Answer yes or no: There is at least one u for which u is excited.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jessica is a politician. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a politician.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Sarah is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a carpenter.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Joseph is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will listen to a song.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jessica is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a bartender.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,yes
predicate,inference,existential generalization,inference,Consider the following premises: John is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will climb a mountain.,yes
predicate,inference,existential generalization,inference,Consider the following premises: John is sleeping. Can we infer the following from them? Answer yes or no: There is at least one w for which w will sleep.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Sarah is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a mechanic.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jennifer is reading a book. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will read a book.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Charles is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u is curious.,yes
predicate,inference,existential generalization,inference,Consider the following premises: William is making tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Patricia is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u will take a plane.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Karen is sleeping. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Joseph is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a carpenter.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Susan is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a carpenter.,yes
predicate,inference,existential generalization,inference,Consider the following premises: James is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Sarah is fast. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is fast.,yes
predicate,inference,existential generalization,inference,Consider the following premises: James is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is an electrician.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Mary is a police officer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a police officer.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Richard is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a lawyer.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jennifer is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an office clerk.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Michael is working. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will work.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Patricia is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which u will cook.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Richard is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy.,yes
predicate,inference,existential generalization,inference,Consider the following premises: David is driving a car. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will drive a car.,yes
predicate,inference,existential generalization,inference,Consider the following premises: John is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a lawyer.,yes
predicate,inference,existential generalization,inference,Consider the following premises: David is sad. Can we infer the following from them? Answer yes or no: There is at least one w for which w is sad.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Charles is playing squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will climb a mountain.,yes
predicate,inference,existential generalization,inference,Consider the following premises: William is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which u will cook.,yes
predicate,inference,existential generalization,inference,Consider the following premises: James is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a carpenter.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jennifer is working. Can we infer the following from them? Answer yes or no: There is at least one u for which u will work.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Susan is making tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Joseph is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u is curious.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Charles is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one u for which u will listen to a song.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Linda is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.,yes
predicate,inference,existential generalization,inference,Consider the following premises: Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will listen to a song.,yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will write a letter. For all x, x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x will take a plane.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w is happy. For all w, w is a mechanic. Can we infer the following from them? Answer yes or no: For all w, w is happy and w is a mechanic.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will listen to a song. For all w, w will play tennis. Can we infer the following from them? Answer yes or no: For all w, w will play tennis and w will listen to a song.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a writer. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a writer and x is a carpenter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will make tea. For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad and x will make tea.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a janitor. For all x, x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a janitor and x is a poet.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will cook. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will cook and x is a bartender.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all y, y is an artist. For all y, y will cook. Can we infer the following from them? Answer yes or no: For all y, y is an artist and y will cook.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will make tea. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x will cook.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will climb a mountain. For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain and x is a politician.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drink water. For all x, x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will drink water and x is a nurse.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will go running. For all x, x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is a musician and x will go running.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is curious. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is curious and x will write a letter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drive a car. For all x, x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor and x will drive a car.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a writer. For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is a writer and x will drink water.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will drive a car. For all w, w will listen to a song. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song and w will drive a car.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drive a car. For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor and x will drive a car.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a bartender. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x is a bartender.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drink water. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut and x will drink water.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will write a letter. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis and x will write a letter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will play tennis. For all w, w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w will take a plane and w will play tennis.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a soldier. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x is a soldier.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will play a game. For all x, x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist and x will play a game.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will go running. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x will go running.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drink water. For all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x will drink water and x is fast.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will play a game. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x will drive a car.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will go running. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will work and x will go running.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will listen to a song. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song and x will go running.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will climb a mountain. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain and x will write a letter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all y, y will play a game. For all y, y is a server. Can we infer the following from them? Answer yes or no: For all y, y will play a game and y is a server.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is an office clerk. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk and x is a cashier.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is an office clerk. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car and x is an office clerk.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a bartender. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x is a bartender.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will work. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will work and x is a bartender.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is poor. For all x, x is bored. Can we infer the following from them? Answer yes or no: For all x, x is poor and x is bored.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all y, y will play squash. For all y, y is rich. Can we infer the following from them? Answer yes or no: For all y, y is rich and y will play squash.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will climb a mountain. For all w, w will listen to a song. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song and w will climb a mountain.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w is a writer. For all w, w will make tea. Can we infer the following from them? Answer yes or no: For all w, w will make tea and w is a writer.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will go running. For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will go running and x will drink water.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will write a letter. For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x is an office clerk.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will make tea. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x is a carpenter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a carpenter. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter and x will play tennis.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will play tennis. For all w, w is rich. Can we infer the following from them? Answer yes or no: For all w, w will play tennis and w is rich.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a musician. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car and x is a musician.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all y, y is sad. For all y, y will read a book. Can we infer the following from them? Answer yes or no: For all y, y will read a book and y is sad.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drink water. For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will drink water and x will listen to a song.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will listen to a song. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song and x is a carpenter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will take a plane. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will take a plane and x will write a letter.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all w, w will play a game. For all w, w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w will take a plane and w will play a game.",yes
predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will play tennis. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server and x will play tennis.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is a bartender or z is a soldier. For all z, z is not a bartender. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will sleep or u will work. For all u, u will not sleep. Can we infer the following from them? Answer yes or no: For all u, u will work.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is curious or z will drive a car. For all z, z is not curious. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will play squash or z will climb a mountain. For all z, z will not play squash. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will take a plane or x is a doctor. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a sailor. For all x, x is a sailor or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is not a nurse. For all z, z is a nurse or z is a doctor. Can we infer the following from them? Answer yes or no: For all z, z is a doctor.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u_3, u_3 will sleep or u_3 will cook. For all u_3, u_3 will not sleep. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will cook.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play a game or x will make tea. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a writer. For all x, x is a writer or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not read a book. For all x, x will read a book or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u_3, u_3 will play squash or u_3 will cook. For all u_3, u_3 will not play squash. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will cook.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will take a plane or x is a cashier. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will read a book or z will drive a car. For all z, z will not read a book. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u_3, u_3 will read a book or u_3 is a police officer. For all u_3, u_3 will not read a book. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is a police officer.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a police officer. For all x, x is a police officer or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is not a server. For all z, z is a server or z is a soldier. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not rich. For all x, x is rich or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will not listen to a song. For all u, u will listen to a song or u is a scientist. Can we infer the following from them? Answer yes or no: For all u, u is a scientist.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will not play a game. For all z, z will play a game or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z will write a letter.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will take a plane or x will make tea. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will not climb a mountain. For all u, u will climb a mountain or u will take a plane. Can we infer the following from them? Answer yes or no: For all u, u will take a plane.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will climb a mountain or u will cook. For all u, u will not climb a mountain. Can we infer the following from them? Answer yes or no: For all u, u will cook.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u is not a police officer. For all u, u is a police officer or u is poor. Can we infer the following from them? Answer yes or no: For all u, u is poor.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not fast. For all x, x is fast or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will write a letter or z will make tea. For all z, z will not write a letter. Can we infer the following from them? Answer yes or no: For all z, z will make tea.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a police officer or x is happy. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: For all x, x is happy.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is an artist or x is excited. For all x, x is not an artist. Can we infer the following from them? Answer yes or no: For all x, x is excited.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will not play a game. For all z, z will play a game or z will make tea. Can we infer the following from them? Answer yes or no: For all z, z will make tea.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is an artist or x will cook. For all x, x is not an artist. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a musician or x is a sailor. For all x, x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a soldier or x will read a book. For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will read a book or x will cook. For all x, x will not read a book. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play squash or x will drink water. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will drink water or x is a mechanic. For all x, x will not drink water. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play squash or x is a politician. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is not curious. For all z, z is curious or z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is a taxi driver.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is an artist or x will sleep. For all x, x is not an artist. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will play tennis or u is a carpenter. For all u, u will not play tennis. Can we infer the following from them? Answer yes or no: For all u, u is a carpenter.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u is not a police officer. For all u, u is a police officer or u will take a plane. Can we infer the following from them? Answer yes or no: For all u, u will take a plane.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not an office clerk. For all x, x is an office clerk or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z will not play a game. For all z, z will play a game or z is a scientist. Can we infer the following from them? Answer yes or no: For all z, z is a scientist.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a cashier. For all x, x is a cashier or x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a cashier or x is a nurse. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will drink water or x will write a letter. For all x, x will not drink water. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is not fast. For all z, z is fast or z will work. Can we infer the following from them? Answer yes or no: For all z, z will work.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will work or u is an electrician. For all u, u will not work. Can we infer the following from them? Answer yes or no: For all u, u is an electrician.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all u, u will play tennis or u is poor. For all u, u will not play tennis. Can we infer the following from them? Answer yes or no: For all u, u is poor.",yes
predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all z, z is not a carpenter. For all z, z is a carpenter or z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x will take a plane. For all x, x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane and x is a police officer.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x will work. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work and x is an astronaut.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is an astronaut. There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut and x is a politician.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one u_3 for which u_3 is a server. For all u_3, u_3 is a janitor. Can we infer the following from them? Answer yes or no: Some janitors are servers.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v is a taxi driver. There is at least one v for which v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a taxi driver and v will drink water.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is an artist. There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist and x will play squash.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u_3, u_3 will go running. There is at least one u_3 for which u_3 will play a game. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will go running and u_3 will play a game.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all y, y is excited. There is at least one y for which y will cook. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook and y is excited.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x_4, x_4 will go running. There is at least one x_4 for which x_4 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will write a letter and x_4 will go running.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u_3, u_3 is bored. There is at least one u_3 for which u_3 will read a book. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is bored and u_3 will read a book.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one z for which z is a cashier. For all z, z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an artist and z is a cashier.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is a soldier. There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: Some soldiers will write a letter.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v will sleep. There is at least one v for which v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep and v will play squash.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x_4 for which x_4 will play squash. For all x_4, x_4 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will play squash and x_4 is a soldier.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v is a bartender. There is at least one v for which v will play squash. Can we infer the following from them? Answer yes or no: Some bartenders will play squash.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all z, z is a lawyer. There is at least one z for which z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will drive a car and z is a lawyer.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will play a game. There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game and x will read a book.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all z, z will climb a mountain. There is at least one z for which z will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z for which z will climb a mountain and z will listen to a song.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one u_3 for which u_3 is a politician. For all u_3, u_3 is bored. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is bored and u_3 is a politician.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all y, y will read a book. There is at least one y for which y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y will take a plane and y will read a book.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water and x will climb a mountain.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u, u is fast. There is at least one u for which u is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is fast and u is a lawyer.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u, u will work. There is at least one u for which u is a nurse. Can we infer the following from them? Answer yes or no: There is at least one u for which u will work and u is a nurse.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all z, z is an astronaut. There is at least one z for which z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an astronaut and z will play tennis.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all z, z is a sailor. There is at least one z for which z will drink water. Can we infer the following from them? Answer yes or no: There is at least one z for which z will drink water and z is a sailor.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all y, y will play a game. There is at least one y for which y will cook. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook and y will play a game.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u, u will go running. There is at least one u for which u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u will go running and u will sleep.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is a scientist. There is at least one x for which x is a poet. Can we infer the following from them? Answer yes or no: Some scientists are poets.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x is a soldier. For all x, x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier and x is fast.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x is a sailor. For all x, x will read a book. Can we infer the following from them? Answer yes or no: Some sailors will read a book.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y for which y will work. For all y, y is a scientist. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work and y is a scientist.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one v for which v is a doctor. For all v, v is a cashier. Can we infer the following from them? Answer yes or no: Some cashiers are doctors.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y for which y will play tennis. For all y, y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play tennis and y will go running.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all y, y will work. There is at least one y for which y will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song and y will work.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x_4 for which x_4 is a poet. For all x_4, x_4 is a politician. Can we infer the following from them? Answer yes or no: Some poets are politicians.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain and x will sleep.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u_3, u_3 will go running. There is at least one u_3 for which u_3 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will go running and u_3 will take a plane.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x will listen to a song. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song and x will play tennis.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v will climb a mountain. There is at least one v for which v is a musician. Can we infer the following from them? Answer yes or no: There is at least one v for which v will climb a mountain and v is a musician.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x is a soldier. For all x, x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad and x is a soldier.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all u, u will drive a car. There is at least one u for which u is sad. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drive a car and u is sad.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y for which y will write a letter. For all y, y is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter and y is a police officer.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one u_3 for which u_3 will sleep. For all u_3, u_3 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will take a plane and u_3 will sleep.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is an electrician. There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server and x is an electrician.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all z, z is a janitor. There is at least one z for which z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play tennis and z is a janitor.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is a musician. There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: Some musicians are politicians.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x_4 for which x_4 will work. For all x_4, x_4 is bored. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will work and x_4 is bored.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x will take a plane. For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane and x will play a game.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x_4 for which x_4 will drive a car. For all x_4, x_4 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will drive a car and x_4 is a doctor.",yes
predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y for which y will cook. For all y, y is a nurse. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook and y is a nurse.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were curious, then x is an artist. For all x, if x were an artist, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, if x were curious, then x is a lawyer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x plays tennis, then x is making tea. For all x, if x makes tea, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is playing squash.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v listens to a song, then v is running. For all v, if v were a musician, then v is listening to a song. Can we infer the following from them? Answer yes or no: For all v, if v were a musician, then v is running.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x plays a game, then x is climbing a mountain. For all x, if x were excited, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, if x were excited, then x is climbing a mountain.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a scientist, then x is drinking water. For all x, if x were an artist, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, if x were an artist, then x is drinking water.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a janitor, then x is poor. For all x, if x were poor, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, if x were a janitor, then x is playing a game.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x takes a plane, then x is climbing a mountain. For all x, if x climbs a mountain, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, if x takes a plane, then x is an office clerk.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x plays tennis, then x is making tea. For all x, if x makes tea, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is drinking water.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v plays squash, then v is a bartender. For all v, if v were an artist, then v is playing squash. Can we infer the following from them? Answer yes or no: For all v, if v were an artist, then v is a bartender.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were a nurse, then v is a police officer. For all v, if v were a police officer, then v is making tea. Can we infer the following from them? Answer yes or no: For all v, if v were a nurse, then v is making tea.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all w, if w sleeps, then w is making tea. For all w, if w were a politician, then w is sleeping. Can we infer the following from them? Answer yes or no: For all w, if w were a politician, then w is making tea.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x cooks, then x is a writer. For all x, if x drinks water, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, if x drinks water, then x is a writer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a mechanic, then x is sad. For all x, if x were sad, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, if x were a mechanic, then x is a lawyer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x drives a car, then x is a server. For all x, if x were a server, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, if x drives a car, then x is climbing a mountain.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x makes tea, then x is a bartender. For all x, if x cooks, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, if x cooks, then x is a bartender.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were a police officer, then v is rich. For all v, if v takes a plane, then v is a police officer. Can we infer the following from them? Answer yes or no: For all v, if v takes a plane, then v is rich.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x sleeps, then x is playing squash. For all x, if x were sad, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, if x were sad, then x is playing squash.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x reads a book, then x is working. For all x, if x works, then x is poor. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is poor.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v listens to a song, then v is bored. For all v, if v plays squash, then v is listening to a song. Can we infer the following from them? Answer yes or no: For all v, if v plays squash, then v is bored.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z writes a letter, then z is a police officer. For all z, if z plays tennis, then z is writing a letter. Can we infer the following from them? Answer yes or no: For all z, if z plays tennis, then z is a police officer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x plays tennis, then x is a scientist. For all x, if x were a scientist, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is a sailor.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v plays squash, then v is drinking water. For all v, if v drinks water, then v is writing a letter. Can we infer the following from them? Answer yes or no: For all v, if v plays squash, then v is writing a letter.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x drinks water, then x is an astronaut. For all x, if x were an office clerk, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, if x were an office clerk, then x is an astronaut.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is writing a letter. For all x, if x writes a letter, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, if x climbs a mountain, then x is playing a game.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a scientist, then x is a nurse. For all x, if x were a nurse, then x is working. Can we infer the following from them? Answer yes or no: For all x, if x were a scientist, then x is working.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z were a janitor, then z is reading a book. For all z, if z reads a book, then z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, if z were a janitor, then z is a lawyer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a server, then x is poor. For all x, if x were poor, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, if x were a server, then x is a doctor.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z cooks, then z is taking a plane. For all z, if z takes a plane, then z is a police officer. Can we infer the following from them? Answer yes or no: For all z, if z cooks, then z is a police officer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all w, if w were a taxi driver, then w is playing a game. For all w, if w were bored, then w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, if w were bored, then w is playing a game.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were a carpenter, then v is working. For all v, if v works, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, if v were a carpenter, then v is playing a game.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were fast, then v is a politician. For all v, if v were a cashier, then v is fast. Can we infer the following from them? Answer yes or no: For all v, if v were a cashier, then v is a politician.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z makes tea, then z is a janitor. For all z, if z were a janitor, then z is curious. Can we infer the following from them? Answer yes or no: For all z, if z makes tea, then z is curious.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all w, if w were a sailor, then w is playing squash. For all w, if w plays squash, then w is a janitor. Can we infer the following from them? Answer yes or no: For all w, if w were a sailor, then w is a janitor.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v writes a letter, then v is bored. For all v, if v were bored, then v is reading a book. Can we infer the following from them? Answer yes or no: For all v, if v writes a letter, then v is reading a book.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x writes a letter, then x is working. For all x, if x works, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, if x writes a letter, then x is making tea.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z were a musician, then z is a writer. For all z, if z writes a letter, then z is a musician. Can we infer the following from them? Answer yes or no: For all z, if z writes a letter, then z is a writer.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a scientist, then x is writing a letter. For all x, if x writes a letter, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, if x were a scientist, then x is driving a car.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v sleeps, then v is an electrician. For all v, if v plays tennis, then v is sleeping. Can we infer the following from them? Answer yes or no: For all v, if v plays tennis, then v is an electrician.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v goes running, then v is a bartender. For all v, if v plays tennis, then v is running. Can we infer the following from them? Answer yes or no: For all v, if v plays tennis, then v is a bartender.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x sleeps, then x is excited. For all x, if x takes a plane, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, if x takes a plane, then x is excited.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v writes a letter, then v is sleeping. For all v, if v were an office clerk, then v is writing a letter. Can we infer the following from them? Answer yes or no: For all v, if v were an office clerk, then v is sleeping.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x listens to a song, then x is a server. For all x, if x were a server, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is playing tennis.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v cooks, then v is playing tennis. For all v, if v were a scientist, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, if v were a scientist, then v is playing tennis.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z were a musician, then z is writing a letter. For all z, if z writes a letter, then z is a bartender. Can we infer the following from them? Answer yes or no: For all z, if z were a musician, then z is a bartender.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were fast, then x is taking a plane. For all x, if x reads a book, then x is fast. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is taking a plane.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all w, if w were excited, then w is sleeping. For all w, if w drives a car, then w is excited. Can we infer the following from them? Answer yes or no: For all w, if w drives a car, then w is sleeping.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were happy, then v is making tea. For all v, if v plays a game, then v is happy. Can we infer the following from them? Answer yes or no: For all v, if v plays a game, then v is making tea.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z were sad, then z is running. For all z, if z were a scientist, then z is sad. Can we infer the following from them? Answer yes or no: For all z, if z were a scientist, then z is running.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all w, if w were a lawyer, then w is taking a plane. For all w, if w takes a plane, then w is an electrician. Can we infer the following from them? Answer yes or no: For all w, if w were a lawyer, then w is an electrician.",yes
predicate,inference,universal transitivity,inference,"Consider the following premises: For all z, if z were a bartender, then z is a sailor. For all z, if z were a sailor, then z is driving a car. Can we infer the following from them? Answer yes or no: For all z, if z were a bartender, then z is driving a car.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z_1, if z_1 were fast, then z_1 is playing a game. There is at least one z_1 for which if z_1 plays a game, then z_1 is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which if z_1 were fast, then z_1 is listening to a song.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all w, if w were a sailor, then w is climbing a mountain. There is at least one w for which if w climbs a mountain, then w is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one w for which if w were a sailor, then w is a carpenter.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all y, if y drives a car, then y is fast. There is at least one y for which if y were fast, then y is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y for which if y drives a car, then y is a lawyer.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a police officer, then x is a musician. For all x, if x reads a book, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which if x reads a book, then x is a musician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one y for which if y were excited, then y is playing tennis. For all y, if y plays tennis, then y is sleeping. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were excited, then y is sleeping.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is playing tennis. There is at least one x for which if x plays squash, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays squash, then x is playing tennis.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one w_4 for which if w_4 makes tea, then w_4 is a server. For all w_4, if w_4 were a server, then w_4 is poor. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which if w_4 makes tea, then w_4 is poor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a mechanic, then x is running. There is at least one x for which if x makes tea, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which if x makes tea, then x is running.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is making tea. For all x, if x makes tea, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays a game, then x is a musician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were an artist, then x is a bartender. There is at least one x for which if x were an astronaut, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an astronaut, then x is a bartender.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a bartender, then x is a poet. There is at least one x for which if x were a poet, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a bartender, then x is an office clerk.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a taxi driver, then x is climbing a mountain. There is at least one x for which if x climbs a mountain, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a taxi driver, then x is running.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one w for which if w plays a game, then w is reading a book. For all w, if w were fast, then w is playing a game. Can we infer the following from them? Answer yes or no: There is at least one w for which if w were fast, then w is reading a book.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z_4, if z_4 drives a car, then z_4 is a lawyer. There is at least one z_4 for which if z_4 were a server, then z_4 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which if z_4 were a server, then z_4 is a lawyer.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were curious, then x is a soldier. There is at least one x for which if x were a doctor, then x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a doctor, then x is a soldier.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one z_4 for which if z_4 goes running, then z_4 is writing a letter. For all z_4, if z_4 writes a letter, then z_4 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which if z_4 goes running, then z_4 is a lawyer.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all y, if y drives a car, then y is sleeping. There is at least one y for which if y sleeps, then y is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which if y drives a car, then y is a sailor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all w, if w were curious, then w is reading a book. There is at least one w for which if w reads a book, then w is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one w for which if w were curious, then w is writing a letter.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is a writer. For all x, if x were a writer, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a cashier, then x is a sailor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a nurse, then x is a politician. There is at least one x for which if x goes running, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which if x goes running, then x is a politician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z_4, if z_4 cooks, then z_4 is an astronaut. There is at least one z_4 for which if z_4 were sad, then z_4 is cooking. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which if z_4 were sad, then z_4 is an astronaut.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were rich, then x is cooking. For all x, if x cooks, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were rich, then x is a cashier.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is a sailor. For all x, if x were a sailor, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which if x takes a plane, then x is sleeping.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one w_4 for which if w_4 cooks, then w_4 is rich. For all w_4, if w_4 were rich, then w_4 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which if w_4 cooks, then w_4 is a cashier.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is a janitor. For all x, if x were a janitor, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is an electrician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one y for which if y were a server, then y is a janitor. For all y, if y were an office clerk, then y is a server. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were an office clerk, then y is a janitor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is cooking. For all x, if x were an artist, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an artist, then x is cooking.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is working. For all x, if x works, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an astronaut, then x is a nurse.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one v_4 for which if v_4 writes a letter, then v_4 is listening to a song. For all v_4, if v_4 plays squash, then v_4 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which if v_4 plays squash, then v_4 is listening to a song.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all v_4, if v_4 were a police officer, then v_4 is a mechanic. There is at least one v_4 for which if v_4 were a mechanic, then v_4 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which if v_4 were a police officer, then v_4 is an electrician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x plays squash, then x is cooking. There is at least one x for which if x takes a plane, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which if x takes a plane, then x is cooking.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all v_4, if v_4 plays a game, then v_4 is writing a letter. There is at least one v_4 for which if v_4 writes a letter, then v_4 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which if v_4 plays a game, then v_4 is sleeping.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all v_4, if v_4 were an astronaut, then v_4 is working. There is at least one v_4 for which if v_4 works, then v_4 is rich. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which if v_4 were an astronaut, then v_4 is rich.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one w_4 for which if w_4 were an electrician, then w_4 is reading a book. For all w_4, if w_4 reads a book, then w_4 is making tea. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which if w_4 were an electrician, then w_4 is making tea.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x drives a car, then x is climbing a mountain. For all x, if x plays a game, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays a game, then x is climbing a mountain.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all y, if y were a musician, then y is listening to a song. There is at least one y for which if y were a taxi driver, then y is a musician. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were a taxi driver, then y is listening to a song.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x listens to a song, then x is an artist. For all x, if x were an artist, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which if x listens to a song, then x is taking a plane.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one w for which if w writes a letter, then w is climbing a mountain. For all w, if w reads a book, then w is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one w for which if w reads a book, then w is climbing a mountain.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z, if z cooks, then z is listening to a song. There is at least one z for which if z were fast, then z is cooking. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were fast, then z is listening to a song.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one z for which if z reads a book, then z is climbing a mountain. For all z, if z climbs a mountain, then z is a politician. Can we infer the following from them? Answer yes or no: There is at least one z for which if z reads a book, then z is a politician.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all y, if y were a musician, then y is a taxi driver. There is at least one y for which if y takes a plane, then y is a musician. Can we infer the following from them? Answer yes or no: There is at least one y for which if y takes a plane, then y is a taxi driver.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x cooks, then x is playing tennis. There is at least one x for which if x plays tennis, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is driving a car.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z_1, if z_1 sleeps, then z_1 is a server. There is at least one z_1 for which if z_1 were a server, then z_1 is running. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which if z_1 sleeps, then z_1 is running.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a bartender, then x is a police officer. For all x, if x were a police officer, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a bartender, then x is poor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is drinking water. For all x, if x drinks water, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is taking a plane.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all z, if z listens to a song, then z is a taxi driver. There is at least one z for which if z plays squash, then z is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one z for which if z plays squash, then z is a taxi driver.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one v_4 for which if v_4 were a poet, then v_4 is a doctor. For all v_4, if v_4 reads a book, then v_4 is a poet. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which if v_4 reads a book, then v_4 is a doctor.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all w_4, if w_4 were sad, then w_4 is a cashier. There is at least one w_4 for which if w_4 takes a plane, then w_4 is sad. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which if w_4 takes a plane, then w_4 is a cashier.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a sailor, then x is writing a letter. For all x, if x writes a letter, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a sailor, then x is making tea.",yes
predicate,inference,existential transitivity,inference,"Consider the following premises: For all y, if y were a writer, then y is writing a letter. There is at least one y for which if y writes a letter, then y is fast. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were a writer, then y is fast.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w_2, if w_2 were excited, then w_2 is not cooking. For all w_2, w_2 will cook. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is not excited.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will sleep. For all x, if x were a police officer, then x is not sleeping. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v writes a letter, then v is running. For all v, v will not go running. Can we infer the following from them? Answer yes or no: For all v, v will not write a letter.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x_4, x_4 is not a poet. For all x_4, if x_4 were a lawyer, then x_4 is a poet. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is not a lawyer.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w_2, if w_2 reads a book, then w_2 is not a poet. For all w_2, w_2 is a poet. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not read a book.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v is not a bartender. For all v, if v were a police officer, then v is a bartender. Can we infer the following from them? Answer yes or no: For all v, v is not a police officer.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were sad, then x is playing a game. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w, w is not an artist. For all w, if w makes tea, then w is an artist. Can we infer the following from them? Answer yes or no: For all w, w will not make tea.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is a server. For all x, if x listens to a song, then x is not a server. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v_3, if v_3 were poor, then v_3 is a scientist. For all v_3, v_3 is not a scientist. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not poor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v_3, v_3 is not a poet. For all v_3, if v_3 listens to a song, then v_3 is a poet. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not listen to a song.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is not fast. For all x, if x were an astronaut, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all z, if z were a musician, then z is not fast. For all z, z is fast. Can we infer the following from them? Answer yes or no: For all z, z is not a musician.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w, w will not make tea. For all w, if w were an astronaut, then w is making tea. Can we infer the following from them? Answer yes or no: For all w, w is not an astronaut.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all u, u will listen to a song. For all u, if u makes tea, then u is not listening to a song. Can we infer the following from them? Answer yes or no: For all u, u will not make tea.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will work. For all x, if x goes running, then x is not working. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v takes a plane, then v is not drinking water. For all v, v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will not take a plane.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were rich, then x is not cooking. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v is an astronaut. For all v, if v were a writer, then v is not an astronaut. Can we infer the following from them? Answer yes or no: For all v, v is not a writer.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all z, z is happy. For all z, if z were a scientist, then z is not happy. Can we infer the following from them? Answer yes or no: For all z, z is not a scientist.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is not a poet. For all x, if x works, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will not work.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x drinks water, then x is reading a book. For all x, x will not read a book. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x goes running, then x is not sad. For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x_4, if x_4 goes running, then x_4 is a poet. For all x_4, x_4 is not a poet. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will not go running.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w, if w were an artist, then w is a writer. For all w, w is not a writer. Can we infer the following from them? Answer yes or no: For all w, w is not an artist.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v_3, if v_3 plays tennis, then v_3 is making tea. For all v_3, v_3 will not make tea. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not play tennis.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a doctor, then x is fast. For all x, x is not fast. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x sleeps, then x is a lawyer. For all x, x is not a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a sailor, then x is listening to a song. For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w, if w listens to a song, then w is cooking. For all w, w will not cook. Can we infer the following from them? Answer yes or no: For all w, w will not listen to a song.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x plays squash, then x is a cashier. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x takes a plane, then x is running. For all x, x will not go running. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w, w will not make tea. For all w, if w climbs a mountain, then w is making tea. Can we infer the following from them? Answer yes or no: For all w, w will not climb a mountain.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x_4, x_4 is not curious. For all x_4, if x_4 were a doctor, then x_4 is curious. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is not a doctor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all w_2, w_2 is happy. For all w_2, if w_2 goes running, then w_2 is not happy. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not go running.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all u, u will drink water. For all u, if u cooks, then u is not drinking water. Can we infer the following from them? Answer yes or no: For all u, u will not cook.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a cashier, then x is bored. For all x, x is not bored. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v works, then v is not making tea. For all v, v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will not work.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will not go running. For all x, if x were excited, then x is running. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will drive a car. For all x, if x makes tea, then x is not driving a car. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x listens to a song, then x is bored. For all x, x is not bored. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were an electrician, then x is not sad. For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v_3, if v_3 were a doctor, then v_3 is a mechanic. For all v_3, v_3 is not a mechanic. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not a doctor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a doctor, then x is a politician. For all x, x is not a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x plays tennis, then x is not a cashier. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is not a poet. For all x, if x drinks water, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v will work. For all v, if v plays squash, then v is not working. Can we infer the following from them? Answer yes or no: For all v, v will not play squash.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will not take a plane. For all x, if x drinks water, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is a politician. For all x, if x were a nurse, then x is not a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a nurse.",yes
predicate,inference,universal modus tollens,inference,"Consider the following premises: For all z, if z were an artist, then z is not a police officer. For all z, z is a police officer. Can we infer the following from them? Answer yes or no: For all z, z is not an artist.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 cooks, then w_4 is a nurse. For all w_4, if w_4 were a nurse, then w_4 is cooking. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a nurse if and only if w_4 will cook.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were rich, then x is a cashier. For all x, if x were a cashier, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x is a cashier if and only if x is rich.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v drinks water, then v is climbing a mountain. For all v, if v climbs a mountain, then v is drinking water. Can we infer the following from them? Answer yes or no: For all v, v will climb a mountain if and only if v will drink water.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were an astronaut, then x is playing squash. For all x, if x plays squash, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will play squash if and only if x is an astronaut.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z sleeps, then z is a carpenter. For all z, if z were a carpenter, then z is sleeping. Can we infer the following from them? Answer yes or no: For all z, z will sleep if and only if z is a carpenter.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a sailor, then v is a server. For all v, if v were a server, then v is a sailor. Can we infer the following from them? Answer yes or no: For all v, v is a sailor if and only if v is a server.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z goes running, then z is writing a letter. For all z, if z writes a letter, then z is running. Can we infer the following from them? Answer yes or no: For all z, z will go running if and only if z will write a letter.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z reads a book, then z is a carpenter. For all z, if z were a carpenter, then z is reading a book. Can we infer the following from them? Answer yes or no: For all z, z is a carpenter if and only if z will read a book.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 writes a letter, then w_4 is a politician. For all w_4, if w_4 were a politician, then w_4 is writing a letter. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will write a letter if and only if w_4 is a politician.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were a server, then z is drinking water. For all z, if z drinks water, then z is a server. Can we infer the following from them? Answer yes or no: For all z, z will drink water if and only if z is a server.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 were a cashier, then w_4 is fast. For all w_4, if w_4 were fast, then w_4 is a cashier. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a cashier if and only if w_4 is fast.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were poor, then x is rich. For all x, if x were rich, then x is poor. Can we infer the following from them? Answer yes or no: For all x, x is rich if and only if x is poor.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were sad, then z is an astronaut. For all z, if z were an astronaut, then z is sad. Can we infer the following from them? Answer yes or no: For all z, z is sad if and only if z is an astronaut.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a politician, then v is making tea. For all v, if v makes tea, then v is a politician. Can we infer the following from them? Answer yes or no: For all v, v is a politician if and only if v will make tea.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z plays squash, then z is listening to a song. For all z, if z listens to a song, then z is playing squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash if and only if z will listen to a song.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x goes running, then x is cooking. For all x, if x cooks, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will cook if and only if x will go running.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 plays squash, then w_4 is sad. For all w_4, if w_4 were sad, then w_4 is playing squash. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is sad if and only if w_4 will play squash.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were an electrician, then x is playing tennis. For all x, if x plays tennis, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will play tennis if and only if x is an electrician.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were a scientist, then z is driving a car. For all z, if z drives a car, then z is a scientist. Can we infer the following from them? Answer yes or no: For all z, z is a scientist if and only if z will drive a car.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v listens to a song, then v is driving a car. For all v, if v drives a car, then v is listening to a song. Can we infer the following from them? Answer yes or no: For all v, v will drive a car if and only if v will listen to a song.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x cooks, then x is playing tennis. For all x, if x plays tennis, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook if and only if x will play tennis.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were a police officer, then z is a poet. For all z, if z were a poet, then z is a police officer. Can we infer the following from them? Answer yes or no: For all z, z is a police officer if and only if z is a poet.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z drinks water, then z is climbing a mountain. For all z, if z climbs a mountain, then z is drinking water. Can we infer the following from them? Answer yes or no: For all z, z will drink water if and only if z will climb a mountain.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were sad, then x is an artist. For all x, if x were an artist, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is an artist if and only if x is sad.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were curious, then z is a nurse. For all z, if z were a nurse, then z is curious. Can we infer the following from them? Answer yes or no: For all z, z is curious if and only if z is a nurse.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a janitor, then v is reading a book. For all v, if v reads a book, then v is a janitor. Can we infer the following from them? Answer yes or no: For all v, v will read a book if and only if v is a janitor.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z plays squash, then z is driving a car. For all z, if z drives a car, then z is playing squash. Can we infer the following from them? Answer yes or no: For all z, z will drive a car if and only if z will play squash.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were excited, then z is drinking water. For all z, if z drinks water, then z is excited. Can we infer the following from them? Answer yes or no: For all z, z will drink water if and only if z is excited.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v cooks, then v is an electrician. For all v, if v were an electrician, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, v will cook if and only if v is an electrician.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a writer, then x is climbing a mountain. For all x, if x climbs a mountain, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a writer if and only if x will climb a mountain.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 were bored, then w_4 is an artist. For all w_4, if w_4 were an artist, then w_4 is bored. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is an artist if and only if w_4 is bored.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z cooks, then z is excited. For all z, if z were excited, then z is cooking. Can we infer the following from them? Answer yes or no: For all z, z will cook if and only if z is excited.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a doctor, then x is climbing a mountain. For all x, if x climbs a mountain, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor if and only if x will climb a mountain.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a lawyer, then x is working. For all x, if x works, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will work if and only if x is a lawyer.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were sad, then v is playing tennis. For all v, if v plays tennis, then v is sad. Can we infer the following from them? Answer yes or no: For all v, v is sad if and only if v will play tennis.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a poet, then x is playing a game. For all x, if x plays a game, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet if and only if x will play a game.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z works, then z is playing tennis. For all z, if z plays tennis, then z is working. Can we infer the following from them? Answer yes or no: For all z, z will work if and only if z will play tennis.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a doctor, then x is writing a letter. For all x, if x writes a letter, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will write a letter if and only if x is a doctor.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x listens to a song, then x is a poet. For all x, if x were a poet, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x is a poet if and only if x will listen to a song.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a server, then x is playing a game. For all x, if x plays a game, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x will play a game if and only if x is a server.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a nurse, then v is reading a book. For all v, if v reads a book, then v is a nurse. Can we infer the following from them? Answer yes or no: For all v, v is a nurse if and only if v will read a book.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z cooks, then z is sleeping. For all z, if z sleeps, then z is cooking. Can we infer the following from them? Answer yes or no: For all z, z will sleep if and only if z will cook.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were sad, then x is listening to a song. For all x, if x listens to a song, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad if and only if x will listen to a song.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v listens to a song, then v is cooking. For all v, if v cooks, then v is listening to a song. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song if and only if v will cook.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v cooks, then v is a scientist. For all v, if v were a scientist, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, v is a scientist if and only if v will cook.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were sad, then z is a politician. For all z, if z were a politician, then z is sad. Can we infer the following from them? Answer yes or no: For all z, z is sad if and only if z is a politician.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v writes a letter, then v is running. For all v, if v goes running, then v is writing a letter. Can we infer the following from them? Answer yes or no: For all v, v will write a letter if and only if v will go running.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all z, if z were an electrician, then z is a politician. For all z, if z were a politician, then z is an electrician. Can we infer the following from them? Answer yes or no: For all z, z is a politician if and only if z is an electrician.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w_4, if w_4 writes a letter, then w_4 is a carpenter. For all w_4, if w_4 were a carpenter, then w_4 is writing a letter. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will write a letter if and only if w_4 is a carpenter.",yes
predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were happy, then v is a server. For all v, if v were a server, then v is happy. Can we infer the following from them? Answer yes or no: For all v, v is a server if and only if v is happy.",yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will go running and v will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is happy and w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.,yes
predicate,inference,existential simplification,inference,Consider the following premises: Some doctors are lawyers. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will play squash and v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will play tennis and v is a server. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a server.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will drive a car and x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is rich and w will work. Can we infer the following from them? Answer yes or no: There is at least one w for which w will work.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will write a letter and x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one u for which u will sleep and u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.,yes
predicate,inference,existential simplification,inference,Consider the following premises: Some politicians will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a politician.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is a janitor and x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one u for which u will drink water and u will cook. Can we infer the following from them? Answer yes or no: There is at least one u for which u will cook.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w_4 for which w_4 will sleep and w_4 will read a book. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will sleep.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w_4 for which w_4 will drive a car and w_4 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a doctor.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is excited and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will take a plane and x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will play a game and v is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play a game.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will cook and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w will work and w will write a letter. Can we infer the following from them? Answer yes or no: There is at least one w for which w will write a letter.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will write a letter and v is a scientist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a scientist.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will listen to a song and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will make tea and v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which v will make tea.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is rich and x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w_4 for which w_4 is an electrician and w_4 is poor. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is an electrician.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will take a plane and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w will read a book and w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which w will read a book.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will read a book and v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v is a scientist and v is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a scientist.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will sleep and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is an electrician and w will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an electrician.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will cook and v will play a game. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play a game.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will play squash and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one u for which u is a taxi driver and u will play a game. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a taxi driver.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will drink water and v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v is excited and v is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v for which v is excited.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w will write a letter and w will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which w will write a letter.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will listen to a song and x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will play squash and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w_4 for which w_4 is fast and w_4 will cook. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is fast.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will play squash and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w will play squash and w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will sleep and v will cook. Can we infer the following from them? Answer yes or no: There is at least one v for which v will cook.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will read a book and v will make tea. Can we infer the following from them? Answer yes or no: There is at least one v for which v will make tea.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will read a book and x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is a police officer and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is bored and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w_4 for which w_4 will read a book and w_4 is an artist. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is an artist.,yes
predicate,inference,existential simplification,inference,Consider the following premises: There is at least one v for which v will sleep and v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep.,yes
predicate,inference,existential simplification,inference,Consider the following premises: Some poets will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.,yes
predicate,inference,existential simplification,inference,Consider the following premises: Some carpenters will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.,yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y is an artist or y will listen to a song. For all y, if y listens to a song, then y is playing tennis. For all y, if y were an artist, then y is playing tennis. Can we infer the following from them? Answer yes or no: For all y, y will play tennis.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x is a carpenter or x will sleep. For all x, if x were a carpenter, then x is curious. For all x, if x sleeps, then x is curious. Can we infer the following from them? Answer yes or no: For all x, x is curious.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x cooks, then x is sleeping. For all x, x will play a game or x will cook. For all x, if x plays a game, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y were a musician, then y is working. For all y, y is a musician or y is a server. For all y, if y were a server, then y is working. Can we infer the following from them? Answer yes or no: For all y, y will work.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v drinks water, then v is playing a game. For all v, if v writes a letter, then v is playing a game. For all v, v will write a letter or v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will play a game.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u goes running, then u is playing a game. For all u, u is a doctor or u will go running. For all u, if u were a doctor, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v were a server, then v is working. For all v, v is a server or v is a mechanic. For all v, if v were a mechanic, then v is working. Can we infer the following from them? Answer yes or no: For all v, v will work.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u drives a car, then u is a bartender. For all u, if u were a doctor, then u is a bartender. For all u, u is a doctor or u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u is a bartender.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were a politician, then x is listening to a song. For all x, if x were a poet, then x is listening to a song. For all x, x is a politician or x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were a nurse, then x is reading a book. For all x, if x were sad, then x is reading a book. For all x, x is a nurse or x is sad. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y will climb a mountain or y will read a book. For all y, if y reads a book, then y is bored. For all y, if y climbs a mountain, then y is bored. Can we infer the following from them? Answer yes or no: For all y, y is bored.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y is a lawyer or y will drive a car. For all y, if y were a lawyer, then y is playing a game. For all y, if y drives a car, then y is playing a game. Can we infer the following from them? Answer yes or no: For all y, y will play a game.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, u is a politician or u will play squash. For all u, if u plays squash, then u is working. For all u, if u were a politician, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, u will cook or u is an office clerk. For all u, if u cooks, then u is a police officer. For all u, if u were an office clerk, then u is a police officer. Can we infer the following from them? Answer yes or no: For all u, u is a police officer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v plays a game, then v is poor. For all v, v is a musician or v will play a game. For all v, if v were a musician, then v is poor. Can we infer the following from them? Answer yes or no: For all v, v is poor.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, u is a janitor or u is an artist. For all u, if u were an artist, then u is playing a game. For all u, if u were a janitor, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u were a politician, then u is a lawyer. For all u, u is an astronaut or u is a politician. For all u, if u were an astronaut, then u is a lawyer. Can we infer the following from them? Answer yes or no: For all u, u is a lawyer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, v is a mechanic or v will drive a car. For all v, if v drives a car, then v is playing tennis. For all v, if v were a mechanic, then v is playing tennis. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x listens to a song, then x is a poet. For all x, x will listen to a song or x is a soldier. For all x, if x were a soldier, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v were an artist, then v is happy. For all v, v is an artist or v will play squash. For all v, if v plays squash, then v is happy. Can we infer the following from them? Answer yes or no: For all v, v is happy.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y plays squash, then y is writing a letter. For all y, if y were an astronaut, then y is writing a letter. For all y, y is an astronaut or y will play squash. Can we infer the following from them? Answer yes or no: For all y, y will write a letter.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y is a bartender or y will read a book. For all y, if y reads a book, then y is a janitor. For all y, if y were a bartender, then y is a janitor. Can we infer the following from them? Answer yes or no: For all y, y is a janitor.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u were a doctor, then u is sad. For all u, if u works, then u is sad. For all u, u is a doctor or u will work. Can we infer the following from them? Answer yes or no: For all u, u is sad.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v works, then v is excited. For all v, if v plays tennis, then v is excited. For all v, v will play tennis or v will work. Can we infer the following from them? Answer yes or no: For all v, v is excited.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y is sad or y is a taxi driver. For all y, if y were a taxi driver, then y is climbing a mountain. For all y, if y were sad, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, y will climb a mountain.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v were a mechanic, then v is a taxi driver. For all v, if v were fast, then v is a taxi driver. For all v, v is a mechanic or v is fast. Can we infer the following from them? Answer yes or no: For all v, v is a taxi driver.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x makes tea, then x is cooking. For all x, if x were a poet, then x is cooking. For all x, x will make tea or x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u were a sailor, then u is listening to a song. For all u, u will write a letter or u is a sailor. For all u, if u writes a letter, then u is listening to a song. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y were an electrician, then y is working. For all y, y will play squash or y is an electrician. For all y, if y plays squash, then y is working. Can we infer the following from them? Answer yes or no: For all y, y will work.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u writes a letter, then u is a writer. For all u, u is a scientist or u will write a letter. For all u, if u were a scientist, then u is a writer. Can we infer the following from them? Answer yes or no: For all u, u is a writer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, v is a soldier or v is happy. For all v, if v were a soldier, then v is running. For all v, if v were happy, then v is running. Can we infer the following from them? Answer yes or no: For all v, v will go running.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u writes a letter, then u is making tea. For all u, u will write a letter or u is happy. For all u, if u were happy, then u is making tea. Can we infer the following from them? Answer yes or no: For all u, u will make tea.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u reads a book, then u is a scientist. For all u, if u writes a letter, then u is a scientist. For all u, u will read a book or u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u is a scientist.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y cooks, then y is driving a car. For all y, if y were a lawyer, then y is driving a car. For all y, y will cook or y is a lawyer. Can we infer the following from them? Answer yes or no: For all y, y will drive a car.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x plays a game, then x is a police officer. For all x, if x reads a book, then x is a police officer. For all x, x will read a book or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y were happy, then y is a janitor. For all y, if y listens to a song, then y is a janitor. For all y, y will listen to a song or y is happy. Can we infer the following from them? Answer yes or no: For all y, y is a janitor.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v were a soldier, then v is a lawyer. For all v, v is a soldier or v will work. For all v, if v works, then v is a lawyer. Can we infer the following from them? Answer yes or no: For all v, v is a lawyer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y makes tea, then y is sleeping. For all y, y will make tea or y will drive a car. For all y, if y drives a car, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, y will sleep.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, y will drink water or y is a poet. For all y, if y drinks water, then y is a lawyer. For all y, if y were a poet, then y is a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is a lawyer.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u makes tea, then u is happy. For all u, if u plays tennis, then u is happy. For all u, u will make tea or u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u is happy.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, v will play squash or v is a bartender. For all v, if v were a bartender, then v is making tea. For all v, if v plays squash, then v is making tea. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were poor, then x is playing a game. For all x, if x were an artist, then x is playing a game. For all x, x is poor or x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v works, then v is sleeping. For all v, v will work or v is a nurse. For all v, if v were a nurse, then v is sleeping. Can we infer the following from them? Answer yes or no: For all v, v will sleep.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all v, if v were poor, then v is a mechanic. For all v, v will drive a car or v is poor. For all v, if v drives a car, then v is a mechanic. Can we infer the following from them? Answer yes or no: For all v, v is a mechanic.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y cooks, then y is writing a letter. For all y, y will cook or y is curious. For all y, if y were curious, then y is writing a letter. Can we infer the following from them? Answer yes or no: For all y, y will write a letter.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all y, if y were an artist, then y is playing tennis. For all y, y is an artist or y will work. For all y, if y works, then y is playing tennis. Can we infer the following from them? Answer yes or no: For all y, y will play tennis.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will play tennis or x is a politician. For all x, if x plays tennis, then x is a taxi driver. For all x, if x were a politician, then x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, if u cooks, then u is working. For all u, u will cook or u is a doctor. For all u, if u were a doctor, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x is a janitor or x is a politician. For all x, if x were a politician, then x is sleeping. For all x, if x were a janitor, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u, u will climb a mountain or u is a server. For all u, if u climbs a mountain, then u is a soldier. For all u, if u were a server, then u is a soldier. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_1 for which if u_1 were an office clerk, then u_1 is taking a plane. For all u_1, if u_1 takes a plane, then u_1 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is an office clerk if and only if u_1 will take a plane.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_2 for which if u_2 were poor, then u_2 is a police officer. For all u_2, if u_2 were a police officer, then u_2 is poor. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is a police officer if and only if u_2 is poor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_1 for which if u_1 were a cashier, then u_1 is a politician. For all u_1, if u_1 were a politician, then u_1 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is a cashier if and only if u_1 is a politician.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x sleeps, then x is an office clerk. There is at least one x for which if x were an office clerk, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk if and only if x will sleep.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were a janitor, then x is a mechanic. For all x, if x were a mechanic, then x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic if and only if x is a janitor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x writes a letter, then x is a police officer. There is at least one x for which if x were a police officer, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter if and only if x is a police officer.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were a cashier, then x is a sailor. There is at least one x for which if x were a sailor, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier if and only if x is a sailor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y, if y were an electrician, then y is poor. There is at least one y for which if y were poor, then y is an electrician. Can we infer the following from them? Answer yes or no: There is at least one y for which y is an electrician if and only if y is poor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were curious, then x is a poet. There is at least one x for which if x were a poet, then x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious if and only if x is a poet.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x takes a plane, then x is listening to a song. There is at least one x for which if x listens to a song, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song if and only if x will take a plane.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x listens to a song, then x is reading a book. There is at least one x for which if x reads a book, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book if and only if x will listen to a song.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x works, then x is climbing a mountain. For all x, if x climbs a mountain, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work if and only if x will climb a mountain.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_2 for which if u_2 were a carpenter, then u_2 is a poet. For all u_2, if u_2 were a poet, then u_2 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is a poet if and only if u_2 is a carpenter.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were an office clerk, then x is playing a game. There is at least one x for which if x plays a game, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game if and only if x is an office clerk.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x plays squash, then x is drinking water. For all x, if x drinks water, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water if and only if x will play squash.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_1, if u_1 were a scientist, then u_1 is a janitor. There is at least one u_1 for which if u_1 were a janitor, then u_1 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is a janitor if and only if u_1 is a scientist.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is listening to a song. For all x, if x listens to a song, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game if and only if x will listen to a song.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y, if y were rich, then y is playing squash. There is at least one y for which if y plays squash, then y is rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y is rich if and only if y will play squash.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y, if y drinks water, then y is writing a letter. There is at least one y for which if y writes a letter, then y is drinking water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter if and only if y will drink water.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_1, if u_1 takes a plane, then u_1 is cooking. There is at least one u_1 for which if u_1 cooks, then u_1 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will cook if and only if u_1 will take a plane.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x takes a plane, then x is making tea. There is at least one x for which if x makes tea, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane if and only if x will make tea.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is a server. For all x, if x were a server, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server if and only if x will take a plane.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were sad, then x is taking a plane. There is at least one x for which if x takes a plane, then x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad if and only if x will take a plane.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x plays tennis, then x is climbing a mountain. There is at least one x for which if x climbs a mountain, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis if and only if x will climb a mountain.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_1, if u_1 plays tennis, then u_1 is making tea. There is at least one u_1 for which if u_1 makes tea, then u_1 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will make tea if and only if u_1 will play tennis.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were a doctor, then x is playing a game. For all x, if x plays a game, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game if and only if x is a doctor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were a writer, then x is cooking. There is at least one x for which if x cooks, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook if and only if x is a writer.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one v_2 for which if v_2 writes a letter, then v_2 is making tea. For all v_2, if v_2 makes tea, then v_2 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will make tea if and only if v_2 will write a letter.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_2 for which if u_2 plays a game, then u_2 is fast. For all u_2, if u_2 were fast, then u_2 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is fast if and only if u_2 will play a game.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were an astronaut, then x is playing a game. There is at least one x for which if x plays a game, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut if and only if x will play a game.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were a server, then x is a doctor. For all x, if x were a doctor, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server if and only if x is a doctor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is working. For all x, if x works, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse if and only if x will work.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_2, if u_2 were an astronaut, then u_2 is drinking water. There is at least one u_2 for which if u_2 drinks water, then u_2 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is an astronaut if and only if u_2 will drink water.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were rich, then x is making tea. For all x, if x makes tea, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich if and only if x will make tea.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x drinks water, then x is playing squash. For all x, if x plays squash, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water if and only if x will play squash.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x writes a letter, then x is making tea. For all x, if x makes tea, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea if and only if x will write a letter.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y for which if y sleeps, then y is making tea. For all y, if y makes tea, then y is sleeping. Can we infer the following from them? Answer yes or no: There is at least one y for which y will make tea if and only if y will sleep.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one v_2 for which if v_2 sleeps, then v_2 is a politician. For all v_2, if v_2 were a politician, then v_2 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a politician if and only if v_2 will sleep.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x drives a car, then x is sleeping. There is at least one x for which if x sleeps, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car if and only if x will sleep.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were a scientist, then x is curious. There is at least one x for which if x were curious, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist if and only if x is curious.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is a musician. For all x, if x were a musician, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea if and only if x is a musician.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were a doctor, then x is a janitor. There is at least one x for which if x were a janitor, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor if and only if x is a doctor.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one v_2 for which if v_2 were a musician, then v_2 is a doctor. For all v_2, if v_2 were a doctor, then v_2 is a musician. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a doctor if and only if v_2 is a musician.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is a politician. For all x, if x were a politician, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician if and only if x will cook.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were an artist, then x is writing a letter. There is at least one x for which if x writes a letter, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter if and only if x is an artist.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y, if y were bored, then y is poor. There is at least one y for which if y were poor, then y is bored. Can we infer the following from them? Answer yes or no: There is at least one y for which y is poor if and only if y is bored.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_2, if u_2 were sad, then u_2 is a scientist. There is at least one u_2 for which if u_2 were a scientist, then u_2 is sad. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is sad if and only if u_2 is a scientist.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x for which if x were happy, then x is a police officer. For all x, if x were a police officer, then x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy if and only if x is a police officer.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_2, if u_2 cooks, then u_2 is sleeping. There is at least one u_2 for which if u_2 sleeps, then u_2 is cooking. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will cook if and only if u_2 will sleep.",yes
predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x sleeps, then x is writing a letter. There is at least one x for which if x writes a letter, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep if and only if x will write a letter.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one z for which z is not sad. For all z, z is sad or z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will cook or x is rich. There is at least one x for which x will not cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will not read a book. There is at least one x for which x will read a book or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all w_1, w_1 is a doctor or w_1 is a police officer. There is at least one w_1 for which w_1 is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is a police officer.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will go running or x will play squash. There is at least one x for which x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not make tea. For all x, x will make tea or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is a sailor or x is a scientist. There is at least one x for which x is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not make tea. For all x, x will make tea or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x_3 for which x_3 is not a sailor. For all x_3, x_3 is a sailor or x_3 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is an astronaut.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not drink water. For all x, x will drink water or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x_3 for which x_3 will not cook. For all x_3, x_3 will cook or x_3 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is an electrician.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v for which v will read a book or v is a musician. For all v, v will not read a book. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a musician.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not listen to a song. For all x, x will listen to a song or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one w_1 for which w_1 is not a cashier. For all w_1, w_1 is a cashier or w_1 is a poet. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is a poet.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will cook or x will listen to a song. There is at least one x for which x will not cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is not a sailor. For all x, x is a sailor or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will sleep or x will take a plane. There is at least one x for which x will not sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a nurse. There is at least one x for which x is a nurse or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a poet. There is at least one x for which x is a poet or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will work or x is an office clerk. There is at least one x for which x will not work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v for which v is a carpenter or v is a doctor. For all v, v is not a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a doctor.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is not a carpenter. For all x, x is a carpenter or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one z for which z is not an artist. For all z, z is an artist or z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z will read a book.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a carpenter. There is at least one x for which x is a carpenter or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v_2 for which v_2 will go running or v_2 will make tea. For all v_2, v_2 will not go running. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will make tea.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v for which v will play squash or v is a taxi driver. For all v, v will not play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a taxi driver.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is not an artist. For all x, x is an artist or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x_3, x_3 will play tennis or x_3 will drive a car. There is at least one x_3 for which x_3 will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will drive a car.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all v, v is not a police officer. There is at least one v for which v is a police officer or v is poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is poor.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v_2 for which v_2 is a janitor or v_2 will work. For all v_2, v_2 is not a janitor. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will work.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will go running or x is fast. For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will not play a game. There is at least one x for which x will play a game or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is not sad. For all x, x is sad or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is fast or x will sleep. For all x, x is not fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x_3, x_3 will go running or x_3 is fast. There is at least one x_3 for which x_3 will not go running. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is fast.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v_2 for which v_2 will listen to a song or v_2 will read a book. For all v_2, v_2 will not listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will read a book.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all z, z is curious or z is a politician. There is at least one z for which z is not curious. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a politician.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is a carpenter or x will cook. There is at least one x for which x is not a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all v, v is not sad. There is at least one v for which v is sad or v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drive a car.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not play a game. For all x, x will play a game or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one v_2 for which v_2 is happy or v_2 will cook. For all v_2, v_2 is not happy. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will cook.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will climb a mountain or x is a soldier. There is at least one x for which x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will cook or x is a mechanic. There is at least one x for which x will not cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all z, z is a mechanic or z is a writer. There is at least one z for which z is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a writer.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all z, z is a server or z will take a plane. There is at least one z for which z is not a server. Can we infer the following from them? Answer yes or no: There is at least one z for which z will take a plane.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is a nurse or x is a mechanic. There is at least one x for which x is not a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is a bartender or x is an astronaut. There is at least one x for which x is not a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will not make tea. For all x, x will make tea or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is a janitor or x will make tea. There is at least one x for which x is not a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",yes
predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all w_1, w_1 is a writer or w_1 is a bartender. There is at least one w_1 for which w_1 is not a writer. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is a bartender.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is writing a letter. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x drives a car, then x is reading a book. There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all u, u is a poet. There is at least one u for which if u were a poet, then u is a police officer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a police officer.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is fast. There is at least one x for which if x were fast, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x is excited. For all x, if x were excited, then x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is a soldier. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is a server. There is at least one x for which if x were a server, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all v, if v goes running, then v is a politician. There is at least one v for which v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a politician.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one v for which v is a writer. For all v, if v were a writer, then v is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which v will listen to a song.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all y, if y were a server, then y is fast. There is at least one y for which y is a server. Can we infer the following from them? Answer yes or no: There is at least one y for which y is fast.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x drinks water, then x is writing a letter. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all v, if v were a police officer, then v is playing a game. There is at least one v for which v is a police officer. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play a game.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all v, v is happy. There is at least one v for which if v were happy, then v is poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is poor.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x drinks water, then x is sad. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one w_4 for which if w_4 makes tea, then w_4 is reading a book. For all w_4, w_4 will make tea. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will read a book.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all v, v will play squash. There is at least one v for which if v plays squash, then v is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which v will take a plane.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one w_4 for which if w_4 goes running, then w_4 is working. For all w_4, w_4 will go running. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will work.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x_3, if x_3 climbs a mountain, then x_3 is a lawyer. There is at least one x_3 for which x_3 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a lawyer.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is a politician. There is at least one x for which if x were a politician, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were bored, then x is a mechanic. For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x were a nurse, then x is climbing a mountain. There is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all y_3, if y_3 were a server, then y_3 is taking a plane. There is at least one y_3 for which y_3 is a server. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will take a plane.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is happy. There is at least one x for which if x were happy, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x were happy, then x is writing a letter. There is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x plays tennis, then x is a bartender. There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all v, v will play tennis. There is at least one v for which if v plays tennis, then v is cooking. Can we infer the following from them? Answer yes or no: There is at least one v for which v will cook.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one y_3 for which y_3 is excited. For all y_3, if y_3 were excited, then y_3 is an artist. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is an artist.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all w_4, w_4 is curious. There is at least one w_4 for which if w_4 were curious, then w_4 is excited. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is excited.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one v for which v will make tea. For all v, if v makes tea, then v is drinking water. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x is a soldier. For all x, if x were a soldier, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all y, if y were a scientist, then y is listening to a song. There is at least one y for which y is a scientist. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x_4, x_4 is bored. There is at least one x_4 for which if x_4 were bored, then x_4 is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will climb a mountain.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will listen to a song. There is at least one x for which if x listens to a song, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one v for which if v listens to a song, then v is a bartender. For all v, v will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a bartender.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is playing squash. For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x_3 for which x_3 will drink water. For all x_3, if x_3 drinks water, then x_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is a soldier.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one y for which y is a cashier. For all y, if y were a cashier, then y is running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will go running.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will work. There is at least one x for which if x works, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x_4 for which if x_4 drives a car, then x_4 is taking a plane. For all x_4, x_4 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will take a plane.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will go running. There is at least one x for which if x goes running, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x drives a car, then x is making tea. There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x were bored, then x is sad. There is at least one x for which x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is a doctor. There is at least one x for which if x were a doctor, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one w_4 for which if w_4 were an office clerk, then w_4 is a politician. For all w_4, w_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a politician.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x is happy. For all x, if x were happy, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which if x climbs a mountain, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one y_3 for which y_3 will listen to a song. For all y_3, if y_3 listens to a song, then y_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is an office clerk.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is taking a plane. For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: For all u, u is a server. There is at least one u for which if u were a server, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one u for which u will climb a mountain.",yes
predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one w_4 for which if w_4 works, then w_4 is playing tennis. For all w_4, w_4 will work. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will play tennis.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x were a police officer, then x is not an office clerk. There is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_3, x_3 will take a plane. There is at least one x_3 for which if x_3 sleeps, then x_3 is not taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not sleep.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all y, if y sleeps, then y is not rich. There is at least one y for which y is rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not sleep.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_1, x_1 will take a plane. There is at least one x_1 for which if x_1 were bored, then x_1 is not taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is not bored.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were a sailor, then x is not an astronaut. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is an electrician. For all x, if x were an office clerk, then x is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an office clerk.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x_1 for which if x_1 were rich, then x_1 is not drinking water. For all x_1, x_1 will drink water. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is not rich.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will not go running. For all x, if x reads a book, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will not sleep. For all x, if x makes tea, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one w_2 for which w_2 will drive a car. For all w_2, if w_2 writes a letter, then w_2 is not driving a car. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not write a letter.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_3, x_3 will play squash. There is at least one x_3 for which if x_3 were excited, then x_3 is not playing squash. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is not excited.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one y for which if y climbs a mountain, then y is not taking a plane. For all y, y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not climb a mountain.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one w for which if w plays a game, then w is a politician. For all w, w is not a politician. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not play a game.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x will not play tennis. There is at least one x for which if x were a writer, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x works, then x is not a scientist. For all x, x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x_1 for which if x_1 climbs a mountain, then x_1 is not sleeping. For all x_1, x_1 will sleep. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will not climb a mountain.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_1, x_1 is an office clerk. There is at least one x_1 for which if x_1 were a scientist, then x_1 is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is not a scientist.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were an artist, then x is not a nurse. For all x, x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x works, then x is not running. For all x, x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x plays a game, then x is cooking. There is at least one x for which x will not cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all y, y will make tea. There is at least one y for which if y drinks water, then y is not making tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not drink water.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will not make tea. For all x, if x were an artist, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x reads a book, then x is not climbing a mountain. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will make tea. For all x, if x plays a game, then x is not making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is a writer. For all x, if x were an astronaut, then x is not a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all v_4, v_4 will listen to a song. There is at least one v_4 for which if v_4 were a poet, then v_4 is not listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is not a poet.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were a writer, then x is not a server. For all x, x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x plays tennis, then x is not writing a letter. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_1, x_1 is rich. There is at least one x_1 for which if x_1 climbs a mountain, then x_1 is not rich. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will not climb a mountain.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one w_2 for which w_2 is a scientist. For all w_2, if w_2 were excited, then w_2 is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not excited.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all y, y is not excited. There is at least one y for which if y goes running, then y is excited. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not go running.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x_1 for which if x_1 were a politician, then x_1 is not working. For all x_1, x_1 will work. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is not a politician.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all w_3, if w_3 plays squash, then w_3 is a server. There is at least one w_3 for which w_3 is not a server. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 will not play squash.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_1, x_1 will play a game. There is at least one x_1 for which if x_1 drinks water, then x_1 is not playing a game. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will not drink water.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were a janitor, then x is not playing tennis. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x is a politician. There is at least one x for which if x were an artist, then x is not a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one y for which y is bored. For all y, if y drives a car, then y is not bored. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not drive a car.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one y for which if y were an electrician, then y is playing squash. For all y, y will not play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not an electrician.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is playing a game. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x_1, x_1 will cook. There is at least one x_1 for which if x_1 plays a game, then x_1 is not cooking. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will not play a game.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were a lawyer, then x is not a politician. For all x, x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all w_2, if w_2 were a writer, then w_2 is not drinking water. There is at least one w_2 for which w_2 will drink water. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a writer.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x is a lawyer. There is at least one x for which if x climbs a mountain, then x is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is not a writer. For all x, if x were an artist, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one z for which z will not take a plane. For all z, if z were an astronaut, then z is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not an astronaut.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one y for which y will play a game. For all y, if y goes running, then y is not playing a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not go running.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all y, if y plays a game, then y is not a writer. There is at least one y for which y is a writer. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play a game.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x is not bored. There is at least one x for which if x were an electrician, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which if x takes a plane, then x is not climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",yes
predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is not a carpenter. For all x, if x were a lawyer, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is not a doctor. For all x, x is a doctor if and only if x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x_1 for which x_1 is poor if and only if x_1 will cook. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which if x_1 cooks, then x_1 is poor.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y is a carpenter if and only if y is a server. For all y, y is not a carpenter. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a server.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a lawyer if and only if x is a police officer. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one v for which v will not listen to a song. For all v, v will drink water if and only if v will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not drink water.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is not an astronaut. For all x, x is an astronaut if and only if x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one u for which u will not play a game. For all u, u will play a game if and only if u will write a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not write a letter.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y will work if and only if y is a bartender. For all y, y will not work. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a bartender.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w_1 for which w_1 is a police officer if and only if w_1 will go running. For all w_1, w_1 will not go running. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a police officer.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will cook if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which if x sleeps, then x is cooking.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all y_1, y_1 is not a carpenter. There is at least one y_1 for which y_1 is a carpenter if and only if y_1 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is not an electrician.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y will play a game if and only if y is sad. For all y, y will not play a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not sad.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all v, v is not a scientist. There is at least one v for which v is a scientist if and only if v is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a sailor.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will not write a letter. For all x, x will write a letter if and only if x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all w, w will take a plane if and only if w will play tennis. There is at least one w for which w will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not play tennis.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y is a musician if and only if y will work. For all y, y is not a musician. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not work.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x is not a nurse. There is at least one x for which x is bored if and only if x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one z_3 for which z_3 is not a mechanic. For all z_3, z_3 is a nurse if and only if z_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is not a nurse.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x will not play a game. There is at least one x for which x is rich if and only if x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all y, y will not play tennis. There is at least one y for which y will play tennis if and only if y is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a taxi driver.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will climb a mountain if and only if x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x climbs a mountain, then x is an electrician.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w_2 for which w_2 is a sailor if and only if w_2 is a server. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which if w_2 were a sailor, then w_2 is a server.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will play squash if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays squash, then x is sleeping.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will play tennis if and only if x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays squash, then x is playing tennis.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y will make tea if and only if y is curious. For all y, y will not make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not curious.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w_2 for which w_2 will play a game if and only if w_2 will drink water. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which if w_2 plays a game, then w_2 is drinking water.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a sailor if and only if x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a sailor, then x is sad.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one u for which u will not go running. For all u, u will go running if and only if u is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a janitor.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a lawyer if and only if x is a carpenter. For all x, x is not a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all v_3, v_3 is not rich. There is at least one v_3 for which v_3 is rich if and only if v_3 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not take a plane.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all z_3, z_3 will cook if and only if z_3 will climb a mountain. There is at least one z_3 for which z_3 will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not cook.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x_1 for which x_1 is an office clerk if and only if x_1 will make tea. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which if x_1 makes tea, then x_1 is an office clerk.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x is a server if and only if x will sleep. There is at least one x for which x is not a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one z for which z will play squash if and only if z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which if z plays squash, then z is happy.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one v_3 for which v_3 will take a plane if and only if v_3 is a poet. For all v_3, v_3 will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a poet.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will play tennis if and only if x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays tennis, then x is writing a letter.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x is an office clerk if and only if x is an electrician. There is at least one x for which x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all v, v is a janitor if and only if v will make tea. There is at least one v for which v will not make tea. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a janitor.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all v, v will sleep if and only if v will take a plane. There is at least one v for which v will not sleep. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not take a plane.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a poet if and only if x is excited. For all x, x is not a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will play a game if and only if x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which if x takes a plane, then x is playing a game.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will play tennis if and only if x will go running. For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x will read a book if and only if x is an artist. There is at least one x for which x is not an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x will drink water if and only if x is a cashier. There is at least one x for which x will not drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one v for which v is not a bartender. For all v, v is rich if and only if v is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not rich.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all u, u is a sailor if and only if u is a carpenter. There is at least one u for which u is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a carpenter.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is poor if and only if x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which if x reads a book, then x is poor.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will take a plane if and only if x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which if x goes running, then x is taking a plane.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x_1 for which x_1 will make tea if and only if x_1 will read a book. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which if x_1 reads a book, then x_1 is making tea.",yes
predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all z_4, z_4 is not an office clerk. There is at least one z_4 for which z_4 will drink water if and only if z_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will not drink water.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not a writer or x will work. There is at least one x for which x is a writer or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician or x will work.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w_4 for which w_4 is not a taxi driver or w_4 is a sailor. For all w_4, w_4 is a taxi driver or w_4 will cook. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will cook or w_4 is a sailor.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is not a bartender or x is a carpenter. For all x, x is a bartender or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer or x is a carpenter.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is a janitor or x is a taxi driver. For all x, x is not a janitor or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver or x will cook.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all z, z is not a carpenter or z is a doctor. There is at least one z for which z is a carpenter or z is rich. Can we infer the following from them? Answer yes or no: There is at least one z for which z is rich or z is a doctor.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all w, w will go running or w is a police officer. There is at least one w for which w will not go running or w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a police officer or w is a writer.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all u, u is a writer or u will go running. There is at least one u for which u is not a writer or u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u will go running or u will make tea.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not a police officer or x is a lawyer. There is at least one x for which x is a police officer or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea or x is a lawyer.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all u, u will not cook or u is a carpenter. There is at least one u for which u will cook or u is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a mechanic or u is a carpenter.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u is not a police officer or u is a cashier. For all u, u is a police officer or u is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy or u is a cashier.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will not sleep or x will play tennis. For all x, x will sleep or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car or x will play tennis.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w is not a police officer or w is a doctor. For all w, w is a police officer or w will play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play a game or w is a doctor.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will sleep or x is a cashier. For all x, x will not sleep or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier or x is a bartender.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x will make tea or x is an astronaut. There is at least one x for which x will not make tea or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut or x will listen to a song.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all w, w is poor or w will play squash. There is at least one w for which w is not poor or w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash or w is rich.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w_4 for which w_4 will not cook or w_4 will play squash. For all w_4, w_4 will cook or w_4 will work. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will work or w_4 will play squash.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u is fast or u is a cashier. For all u, u is not fast or u is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a cashier or u is a lawyer.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will listen to a song or x will play tennis. For all x, x will not listen to a song or x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis or x is rich.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w is not an astronaut or w will play tennis. For all w, w is an astronaut or w is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a mechanic or w will play tennis.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will not play squash or x will drink water. For all x, x will play squash or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer or x will drink water.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u will not drive a car or u is a cashier. For all u, u will drive a car or u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash or u is a cashier.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u is a lawyer or u is excited. For all u, u is not a lawyer or u is bored. Can we infer the following from them? Answer yes or no: There is at least one u for which u is excited or u is bored.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w is not an office clerk or w is an artist. For all w, w is an office clerk or w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a writer or w is an artist.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all w, w is a bartender or w is a sailor. There is at least one w for which w is not a bartender or w is excited. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a sailor or w is excited.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one z for which z will sleep or z is a cashier. For all z, z will not sleep or z will work. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a cashier or z will work.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all v_3, v_3 will drive a car or v_3 will play tennis. There is at least one v_3 for which v_3 will not drive a car or v_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will play tennis or v_3 will write a letter.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will play a game or x is curious. For all x, x will not play a game or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious or x will sleep.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w will not drive a car or w is an astronaut. For all w, w will drive a car or w will sleep. Can we infer the following from them? Answer yes or no: There is at least one w for which w will sleep or w is an astronaut.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is curious or x is an office clerk. For all x, x is not curious or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk or x is a bartender.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all y_2, y_2 is not an astronaut or y_2 is poor. There is at least one y_2 for which y_2 is an astronaut or y_2 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is a taxi driver or y_2 is poor.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not fast or x will read a book. There is at least one x for which x is fast or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender or x will read a book.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all u, u is a cashier or u is bored. There is at least one u for which u is not a cashier or u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u is bored or u will take a plane.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will play a game or x will drink water. For all x, x will not play a game or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water or x will climb a mountain.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is happy or x is fast. For all x, x is not happy or x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast or x will take a plane.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one z for which z is curious or z is an office clerk. For all z, z is not curious or z is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an office clerk or z is a nurse.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u will go running or u will play a game. For all u, u will not go running or u is a police officer. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play a game or u is a police officer.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x will not take a plane or x will read a book. There is at least one x for which x will take a plane or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain or x will read a book.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w_4 for which w_4 is not happy or w_4 is excited. For all w_4, w_4 is happy or w_4 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will climb a mountain or w_4 is excited.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one v_3 for which v_3 will not drink water or v_3 will read a book. For all v_3, v_3 will drink water or v_3 will make tea. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will make tea or v_3 will read a book.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x will not go running or x will take a plane. There is at least one x for which x will go running or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car or x will take a plane.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: For all z, z will not make tea or z is a lawyer. There is at least one z for which z will make tea or z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z is happy or z is a lawyer.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will listen to a song or x will play a game. For all x, x will not listen to a song or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game or x will go running.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w will not cook or w will write a letter. For all w, w will cook or w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is poor or w will write a letter.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will not play tennis or x will sleep. For all x, x will play tennis or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited or x will sleep.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one w for which w will not work or w will listen to a song. For all w, w will work or w is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an astronaut or w will listen to a song.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one u for which u will cook or u will make tea. For all u, u will not cook or u will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea or u will play tennis.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will drive a car or x will work. For all x, x will not drive a car or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work or x is an astronaut.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x will write a letter or x is a politician. For all x, x will not write a letter or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician or x will go running.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one v_3 for which v_3 is not a police officer or v_3 will play a game. For all v_3, v_3 is a police officer or v_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will write a letter or v_3 will play a game.",yes
predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one z for which z is a police officer or z will listen to a song. For all z, z is not a police officer or z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song or z will drive a car.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a politician, then x is a soldier. For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, u_4 is a soldier. For all u_4, if u_4 were a soldier, then u_4 is curious. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is curious.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is an astronaut. For all x, if x were an astronaut, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were happy, then x is a janitor. For all x, x is happy. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a janitor, then x is drinking water. For all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, if u_4 sleeps, then u_4 is taking a plane. For all u_4, u_4 will sleep. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will take a plane.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a carpenter. For all x, if x were a carpenter, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x sleeps, then x is playing squash. For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, u_4 is an office clerk. For all u_4, if u_4 were an office clerk, then u_4 is running. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will go running.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, z will write a letter. For all z, if z writes a letter, then z is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is rich. For all x, if x were rich, then x is excited. Can we infer the following from them? Answer yes or no: For all x, x is excited.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x goes running, then x is a musician. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, if z were poor, then z is a politician. For all z, z is poor. Can we infer the following from them? Answer yes or no: For all z, z is a politician.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a mechanic. For all x, if x were a mechanic, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a doctor. For all x, if x were a doctor, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will listen to a song. For all x, if x listens to a song, then x is bored. Can we infer the following from them? Answer yes or no: For all x, x is bored.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x reads a book, then x is cooking. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x listens to a song, then x is bored. For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is bored.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were an astronaut, then x is playing squash. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, if z sleeps, then z is playing tennis. For all z, z will sleep. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will play tennis. For all x, if x plays tennis, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a nurse. For all x, if x were a nurse, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a carpenter. For all x, if x were a carpenter, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, if u_4 makes tea, then u_4 is drinking water. For all u_4, u_4 will make tea. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will drink water.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x cooks, then x is sleeping. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, u_4 will make tea. For all u_4, if u_4 makes tea, then u_4 is a mechanic. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a mechanic.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x reads a book, then x is working. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will work.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a lawyer, then x is a mechanic. For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, if z goes running, then z is poor. For all z, z will go running. Can we infer the following from them? Answer yes or no: For all z, z is poor.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will sleep. For all x, if x sleeps, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a cashier, then x is working. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will work.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is fast. For all x, if x were fast, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will work. For all x, if x works, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a janitor. For all x, if x were a janitor, then x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a server, then x is listening to a song. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a sailor, then x is working. For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will work.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a janitor, then x is a sailor. For all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a musician. For all x, if x were a musician, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, if u_4 were a lawyer, then u_4 is a musician. For all u_4, u_4 is a lawyer. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a musician.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x goes running, then x is a taxi driver. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a bartender. For all x, if x were a bartender, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u_4, if u_4 cooks, then u_4 is playing tennis. For all u_4, u_4 will cook. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play tennis.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were sad, then x is cooking. For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x drives a car, then x is writing a letter. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is a poet. For all x, if x were a poet, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will play tennis. For all x, if x plays tennis, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x goes running, then x is playing a game. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, if z were a taxi driver, then z is a doctor. For all z, z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is a doctor.",yes
predicate,inference,universal modus ponens,inference,"Consider the following premises: For all z, z is a writer. For all z, if z were a writer, then z is a poet. Can we infer the following from them? Answer yes or no: For all z, z is a poet.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will work. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will work or y_3 is a taxi driver.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will take a plane. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will take a plane or y_3 is bored.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will play tennis. Can we infer the following from them? Answer yes or no: For all z, z will play tennis or z will work.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer or x is an office clerk.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will drive a car. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will drive a car or y_3 will read a book.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will climb a mountain. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will climb a mountain or y_3 is a politician.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a doctor. Can we infer the following from them? Answer yes or no: For all z, z is a doctor or z is a police officer.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is a musician or x is a mechanic.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song or x is curious.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor or x will read a book.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u is a writer. Can we infer the following from them? Answer yes or no: For all u, u is a writer or u will read a book.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car or z is a carpenter.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u will listen to a song. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song or u is a scientist.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk or x will play squash.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z will write a letter or z is a nurse.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash or z will play tennis.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will play tennis. Can we infer the following from them? Answer yes or no: For all z, z will play tennis or z is a musician.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u will read a book. Can we infer the following from them? Answer yes or no: For all u, u will read a book or u is a carpenter.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a politician. Can we infer the following from them? Answer yes or no: For all z, z is a politician or z will read a book.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain or x will sleep.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u will play a game. Can we infer the following from them? Answer yes or no: For all u, u will play a game or u is a janitor.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer or x will play a game.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will make tea. Can we infer the following from them? Answer yes or no: For all z, z will make tea or z is a poet.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will work or x will listen to a song.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician or x will take a plane.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea or x is a nurse.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a sailor. Can we infer the following from them? Answer yes or no: For all z, z is a sailor or z will play a game.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is bored. Can we infer the following from them? Answer yes or no: For all z, z is bored or z is a taxi driver.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is fast. Can we infer the following from them? Answer yes or no: For all z, z is fast or z is curious.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 is happy. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is happy or y_3 will sleep.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u will climb a mountain. Can we infer the following from them? Answer yes or no: For all u, u will climb a mountain or u is an astronaut.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash or z is an artist.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain or x will play a game.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u is a mechanic. Can we infer the following from them? Answer yes or no: For all u, u is a mechanic or u will make tea.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will climb a mountain. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will climb a mountain or y_3 will sleep.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all u, u is a scientist. Can we infer the following from them? Answer yes or no: For all u, u is a scientist or u is curious.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will work. Can we infer the following from them? Answer yes or no: For all z, z will work or z is a scientist.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is curious. Can we infer the following from them? Answer yes or no: For all x, x is curious or x is a nurse.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a nurse. Can we infer the following from them? Answer yes or no: For all z, z is a nurse or z is a taxi driver.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is a taxi driver or z will drive a car.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z will write a letter or z is a bartender.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will play tennis. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play tennis or y_3 is an electrician.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will go running. Can we infer the following from them? Answer yes or no: For all z, z will go running or z is an office clerk.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will work. Can we infer the following from them? Answer yes or no: For all z, z will work or z is an artist.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will read a book. Can we infer the following from them? Answer yes or no: For all z, z will read a book or z will take a plane.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is a bartender. Can we infer the following from them? Answer yes or no: For all z, z is a bartender or z will read a book.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z is rich. Can we infer the following from them? Answer yes or no: For all z, z is rich or z will sleep.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician or x will climb a mountain.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all z, z will sleep. Can we infer the following from them? Answer yes or no: For all z, z will sleep or z is a cashier.",yes
predicate,inference,universal addition,inference,"Consider the following premises: For all y_3, y_3 will listen to a song. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will listen to a song or y_3 will play tennis.",yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea or x is a doctor.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor or x is fast.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash or x is a musician.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game or x is a mechanic.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook or x will read a book.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter or x will take a plane.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender or x is bored.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea or x will write a letter.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 will play a game. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will play a game or u_3 is a server.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a mechanic or u_3 will sleep.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep or x is a police officer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain or x is happy.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work or x is a writer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song or x is sad.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is curious. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is curious or u_3 will read a book.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a bartender or u_3 will make tea.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver or x is a poet.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk or x is a sailor.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious or x will go running.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep or x will read a book.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor or x will write a letter.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver or x is a doctor.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will listen to a song or u_3 is a nurse.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song or x is a soldier.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is an electrician or u_3 is a scientist.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast or x will work.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer or x is a sailor.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious or x is a carpenter.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis or x is a lawyer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician or x will go running.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water or x will drive a car.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer or x will cook.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song or x will work.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is an astronaut or u_3 will play a game.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server or x is a writer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane or x is a writer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist or x will sleep.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich or x will read a book.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor or x is a bartender.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will play tennis or u_3 is a musician.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain or x is a sailor.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep or x will play squash.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious or x is sad.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game or x will play squash.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer or x will go running.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a scientist or u_3 will take a plane.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 is rich. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is rich or u_3 will cook.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server or x is a lawyer.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis or x is happy.,yes
predicate,inference,existential addition,inference,Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book or x will work.,yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a doctor or x is a taxi driver. For all x, x is not a doctor or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver or x will sleep.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not excited or x is an astronaut. For all x, x is excited or x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy or x is an astronaut.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v is not excited or v will make tea. For all v, v is excited or v will write a letter. Can we infer the following from them? Answer yes or no: For all v, v will write a letter or v will make tea.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will make tea or x will play a game. For all x, x will not make tea or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x will take a plane.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will cook or x will make tea. For all x, x will not cook or x will go running. Can we infer the following from them? Answer yes or no: For all x, x will make tea or x will go running.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is poor or x is an artist. For all x, x is not poor or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is an artist or x will listen to a song.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a server or x will climb a mountain. For all x, x is not a server or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain or x will take a plane.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is an astronaut or x is a mechanic. For all x, x is not an astronaut or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic or x will read a book.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will make tea or x will read a book. For all x, x will not make tea or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will read a book or x is an astronaut.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is an astronaut or x is fast. For all x, x is not an astronaut or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is fast or x will drink water.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not listen to a song or v is a writer. For all v, v will listen to a song or v is a police officer. Can we infer the following from them? Answer yes or no: For all v, v is a police officer or v is a writer.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not cook or x will play a game. For all x, x will cook or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis or x will play a game.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a poet or x will cook. For all x, x is not a poet or x is happy. Can we infer the following from them? Answer yes or no: For all x, x will cook or x is happy.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will climb a mountain or v will play tennis. For all v, v will not climb a mountain or v will play squash. Can we infer the following from them? Answer yes or no: For all v, v will play tennis or v will play squash.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not drink water or x will work. For all x, x will drink water or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis or x will work.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v is not happy or v will write a letter. For all v, v is happy or v will go running. Can we infer the following from them? Answer yes or no: For all v, v will go running or v will write a letter.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not cook or x is a carpenter. For all x, x will cook or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will read a book or x is a carpenter.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will drive a car or x will read a book. For all x, x will not drive a car or x is poor. Can we infer the following from them? Answer yes or no: For all x, x will read a book or x is poor.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is an office clerk or x is sad. For all x, x is not an office clerk or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is sad or x will write a letter.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a musician or x is a lawyer. For all x, x is a musician or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x is a lawyer.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a sailor or x will play a game. For all x, x is not a sailor or x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x is a politician.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not drive a car or v will play a game. For all v, v will drive a car or v is an electrician. Can we infer the following from them? Answer yes or no: For all v, v is an electrician or v will play a game.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a musician or x is happy. For all x, x is a musician or x is poor. Can we infer the following from them? Answer yes or no: For all x, x is poor or x is happy.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will climb a mountain or x will make tea. For all x, x will not climb a mountain or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will make tea or x is a sailor.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not make tea or x is a scientist. For all x, x will make tea or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver or x is a scientist.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a police officer or x will write a letter. For all x, x is not a police officer or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x will listen to a song.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a bartender or x is a taxi driver. For all x, x is a bartender or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will cook or x is a taxi driver.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not take a plane or x is a lawyer. For all x, x will take a plane or x is bored. Can we infer the following from them? Answer yes or no: For all x, x is bored or x is a lawyer.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a carpenter or x is a poet. For all x, x is not a carpenter or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a poet or x is a bartender.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not sad or x will climb a mountain. For all x, x is sad or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song or x will climb a mountain.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a soldier or x is a poet. For all x, x is not a soldier or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a poet or x is a writer.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will play a game or x will drive a car. For all x, x will not play a game or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will drive a car or x is an astronaut.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not play squash or x will play tennis. For all x, x will play squash or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x will play tennis.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not listen to a song or x will play squash. For all x, x will listen to a song or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will cook or x will play squash.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a lawyer or x is poor. For all x, x is not a lawyer or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is poor or x will write a letter.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is an astronaut or x is happy. For all x, x is not an astronaut or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is happy or x will read a book.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a scientist or x will cook. For all x, x is not a scientist or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will cook or x is a doctor.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will drive a car or x will write a letter. For all x, x will not drive a car or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x will take a plane.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not make tea or v is a scientist. For all v, v will make tea or v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v is a doctor or v is a scientist.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not play a game or x will climb a mountain. For all x, x will play a game or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor or x will climb a mountain.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not play tennis or x is an office clerk. For all x, x will play tennis or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a police officer or x is an office clerk.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is curious or x is happy. For all x, x is not curious or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is happy or x will sleep.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will play a game or x will make tea. For all x, x will not play a game or x is fast. Can we infer the following from them? Answer yes or no: For all x, x will make tea or x is fast.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not go running or v will work. For all v, v will go running or v will play a game. Can we infer the following from them? Answer yes or no: For all v, v will play a game or v will work.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a scientist or x will drive a car. For all x, x is a scientist or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is a janitor or x will drive a car.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a musician or x is a janitor. For all x, x is a musician or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver or x is a janitor.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a sailor or x is fast. For all x, x is a sailor or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game or x is fast.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a mechanic or x is bored. For all x, x is a mechanic or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis or x is bored.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will work or x will drink water. For all x, x will not work or x is a server. Can we infer the following from them? Answer yes or no: For all x, x will drink water or x is a server.",yes
predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not take a plane or v is a cashier. For all v, v will take a plane or v is a scientist. Can we infer the following from them? Answer yes or no: For all v, v is a scientist or v is a cashier.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is a doctor. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a doctor.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: W_2 is a politician. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: X is sleeping. Can we infer the following from them? Answer yes or no: For all y, y will sleep.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: X_3 is a musician. Can we infer the following from them? Answer yes or no: For all y, y is a musician.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: V_1 is driving a car. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z_4 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, y will climb a mountain.",yes
predicate,inference,universal generalization,inference,Consider the following premises: X is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play tennis.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: V_1 is a nurse. Can we infer the following from them? Answer yes or no: For all u, u is a nurse.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: X_3 is an astronaut. Can we infer the following from them? Answer yes or no: For all y, y is an astronaut.",yes
predicate,inference,universal generalization,inference,Consider the following premises: U_2 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is an office clerk.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: W_2 is playing tennis. Can we infer the following from them? Answer yes or no: For all y, y will play tennis.",yes
predicate,inference,universal generalization,inference,Consider the following premises: X is drinking water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drink water.,yes
predicate,inference,universal generalization,inference,Consider the following premises: W is curious. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is curious.,yes
predicate,inference,universal generalization,inference,Consider the following premises: X is working. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.,yes
predicate,inference,universal generalization,inference,Consider the following premises: W_1 is a server. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is a server.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: U_3 is a police officer. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a police officer.",yes
predicate,inference,universal generalization,inference,Consider the following premises: W is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is an office clerk.,yes
predicate,inference,universal generalization,inference,Consider the following premises: V is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will listen to a song.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: V_1 is rich. Can we infer the following from them? Answer yes or no: For all u, u is rich.",yes
predicate,inference,universal generalization,inference,Consider the following premises: X is running. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will go running.,yes
predicate,inference,universal generalization,inference,Consider the following premises: V is cooking. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will cook.,yes
predicate,inference,universal generalization,inference,Consider the following premises: X is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a carpenter.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is playing a game. Can we infer the following from them? Answer yes or no: For all y, y will play a game.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is a politician. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: U_1 is a sailor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a sailor.",yes
predicate,inference,universal generalization,inference,Consider the following premises: V is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a lawyer.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z_4 is reading a book. Can we infer the following from them? Answer yes or no: For all y, y will read a book.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will climb a mountain.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is fast. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is fast.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: U_1 is an astronaut. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an astronaut.",yes
predicate,inference,universal generalization,inference,Consider the following premises: U_2 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a writer.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z_4 is playing tennis. Can we infer the following from them? Answer yes or no: For all y, y will play tennis.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is playing tennis. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will play tennis.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is cooking. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will cook.",yes
predicate,inference,universal generalization,inference,Consider the following premises: W is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will write a letter.,yes
predicate,inference,universal generalization,inference,Consider the following premises: W_1 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will drink water.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: X is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is a bartender.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z is a musician. Can we infer the following from them? Answer yes or no: For all y, y is a musician.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: V_1 is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: Z_4 is a politician. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",yes
predicate,inference,universal generalization,inference,"Consider the following premises: V_1 is listening to a song. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",yes
predicate,inference,universal generalization,inference,Consider the following premises: W_1 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is a lawyer.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: X_3 is excited. Can we infer the following from them? Answer yes or no: For all y, y is excited.",yes
predicate,inference,universal generalization,inference,Consider the following premises: W is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a carpenter.,yes
predicate,inference,universal generalization,inference,Consider the following premises: Z is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will climb a mountain.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: X is a doctor. Can we infer the following from them? Answer yes or no: For all y, y is a doctor.",yes
predicate,inference,universal generalization,inference,Consider the following premises: V is a poet. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a poet.,yes
predicate,inference,universal generalization,inference,"Consider the following premises: X is an astronaut. Can we infer the following from them? Answer yes or no: For all y, y is an astronaut.",yes
predicate,inference,universal generalization,inference,Consider the following premises: V is poor. Can we infer the following from them? Answer yes or no: There is at least one y for which y is poor.,yes
predicate,inference,universal generalization,inference,Consider the following premises: W is playing a game. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will play a game.,yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x cooks, then x is a carpenter. For all x, if x were bored, then x is a carpenter. There is at least one x for which x is bored or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x plays squash, then x is a cashier. For all x, if x plays tennis, then x is a cashier. There is at least one x for which x will play squash or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were a scientist, then x is working. For all x, if x were an electrician, then x is working. For all x, x is a scientist or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x will drink water or x will take a plane. For all x, if x takes a plane, then x is a doctor. For all x, if x drinks water, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were sad, then x is a bartender. There is at least one x for which x will climb a mountain or x is sad. For all x, if x climbs a mountain, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will listen to a song or x will drink water. For all x, if x drinks water, then x is reading a book. There is at least one x for which if x listens to a song, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x is a politician or x will play tennis. For all x, if x were a politician, then x is listening to a song. For all x, if x plays tennis, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one v_4 for which if v_4 were a soldier, then v_4 is an astronaut. For all v_4, v_4 is a soldier or v_4 is a politician. For all v_4, if v_4 were a politician, then v_4 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is an astronaut.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one v for which if v cooks, then v is working. For all v, v will cook or v will play a game. For all v, if v plays a game, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x reads a book, then x is a bartender. For all x, x will drive a car or x will read a book. There is at least one x for which if x drives a car, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x is bored or x will take a plane. For all x, if x were bored, then x is climbing a mountain. There is at least one x for which if x takes a plane, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will climb a mountain or x is an electrician. There is at least one x for which if x were an electrician, then x is working. For all x, if x climbs a mountain, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a soldier, then x is reading a book. There is at least one x for which x is a soldier or x will drink water. For all x, if x drinks water, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were a taxi driver, then x is writing a letter. For all x, x is a bartender or x is a taxi driver. For all x, if x were a bartender, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will climb a mountain or x is a bartender. There is at least one x for which if x were a bartender, then x is a politician. For all x, if x climbs a mountain, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a writer, then x is fast. For all x, if x were poor, then x is fast. There is at least one x for which x is poor or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all v, v will read a book or v is excited. There is at least one v for which if v reads a book, then v is an artist. For all v, if v were excited, then v is an artist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an artist.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x is a mechanic or x is curious. For all x, if x were a mechanic, then x is a doctor. For all x, if x were curious, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x reads a book, then x is climbing a mountain. There is at least one x for which x is a taxi driver or x will read a book. For all x, if x were a taxi driver, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were an artist, then x is running. For all x, if x listens to a song, then x is running. For all x, x is an artist or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were curious, then x is a musician. There is at least one x for which x is curious or x is fast. For all x, if x were fast, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a nurse, then x is climbing a mountain. There is at least one x for which x is a nurse or x will drive a car. For all x, if x drives a car, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were sad, then x is cooking. There is at least one x for which x is a lawyer or x is sad. For all x, if x were a lawyer, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x is rich or x will cook. For all x, if x were rich, then x is a nurse. There is at least one x for which if x cooks, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one v_4 for which if v_4 sleeps, then v_4 is a scientist. For all v_4, if v_4 were a writer, then v_4 is a scientist. For all v_4, v_4 will sleep or v_4 is a writer. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is a scientist.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x is curious or x will make tea. For all x, if x makes tea, then x is a cashier. For all x, if x were curious, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were poor, then x is listening to a song. For all x, if x were a mechanic, then x is listening to a song. For all x, x is a mechanic or x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x reads a book, then x is a carpenter. For all x, x will read a book or x will listen to a song. There is at least one x for which if x listens to a song, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all w_3, w_3 is a bartender or w_3 will take a plane. For all w_3, if w_3 were a bartender, then w_3 is a cashier. There is at least one w_3 for which if w_3 takes a plane, then w_3 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is a cashier.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x plays tennis, then x is writing a letter. There is at least one x for which x will play tennis or x will work. For all x, if x works, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x will take a plane or x is a musician. For all x, if x takes a plane, then x is playing tennis. For all x, if x were a musician, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all v, if v works, then v is a writer. For all v, v will write a letter or v will work. There is at least one v for which if v writes a letter, then v is a writer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a writer.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x drinks water, then x is a cashier. For all x, if x were a soldier, then x is a cashier. For all x, x is a soldier or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is climbing a mountain. For all x, x will write a letter or x will play a game. For all x, if x writes a letter, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all v_4, if v_4 cooks, then v_4 is rich. There is at least one v_4 for which if v_4 reads a book, then v_4 is rich. For all v_4, v_4 will read a book or v_4 will cook. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is rich.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will drive a car or x is a mechanic. There is at least one x for which if x were a mechanic, then x is a sailor. For all x, if x drives a car, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will climb a mountain or x will listen to a song. There is at least one x for which if x listens to a song, then x is a scientist. For all x, if x climbs a mountain, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will drive a car or x will read a book. There is at least one x for which if x drives a car, then x is making tea. For all x, if x reads a book, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were excited, then x is drinking water. For all x, if x were curious, then x is drinking water. For all x, x is curious or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all v, v will climb a mountain or v will play squash. There is at least one v for which if v climbs a mountain, then v is working. For all v, if v plays squash, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were fast, then x is sad. There is at least one x for which x is fast or x is excited. For all x, if x were excited, then x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x cooks, then x is playing tennis. There is at least one x for which x is a cashier or x will cook. For all x, if x were a cashier, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x goes running, then x is a scientist. There is at least one x for which x is rich or x will go running. For all x, if x were rich, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all y, if y cooks, then y is drinking water. For all y, y is happy or y will cook. There is at least one y for which if y were happy, then y is drinking water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drink water.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x is poor or x is a poet. For all x, if x were a poet, then x is running. For all x, if x were poor, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x goes running, then x is a sailor. For all x, x will go running or x is a cashier. For all x, if x were a cashier, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x goes running, then x is an astronaut. For all x, x will go running or x will sleep. For all x, if x sleeps, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x were a scientist, then x is playing tennis. For all x, x is a scientist or x will write a letter. For all x, if x writes a letter, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will listen to a song or x is an astronaut. There is at least one x for which if x listens to a song, then x is bored. For all x, if x were an astronaut, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",yes
predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a server, then x is listening to a song. There is at least one x for which if x were a cashier, then x is listening to a song. For all x, x is a server or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",yes
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v will play squash. Can we infer the following from them? Answer yes or no: Richard is not playing squash.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: V_2 is not making tea.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v is a cashier. Can we infer the following from them? Answer yes or no: Richard is not a cashier.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x_2, x_2 will go running. Can we infer the following from them? Answer yes or no: Z is not running.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: Barbara is not happy.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: Y is not playing squash.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: V_3 is not a nurse.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will cook. Can we infer the following from them? Answer yes or no: Charles is not cooking.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_2, u_2 is a cashier. Can we infer the following from them? Answer yes or no: Elisabeth is not a cashier.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v is a scientist. Can we infer the following from them? Answer yes or no: Sarah is not a scientist.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w is curious. Can we infer the following from them? Answer yes or no: Karen is not curious.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x_2, x_2 is a mechanic. Can we infer the following from them? Answer yes or no: Z is not a mechanic.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_2, u_2 will sleep. Can we infer the following from them? Answer yes or no: Jennifer is not sleeping.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is a janitor. Can we infer the following from them? Answer yes or no: X_3 is not a janitor.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v is fast. Can we infer the following from them? Answer yes or no: James is not fast.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will play a game. Can we infer the following from them? Answer yes or no: Susan is not playing a game.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_2, u_2 is a mechanic. Can we infer the following from them? Answer yes or no: Patricia is not a mechanic.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will cook. Can we infer the following from them? Answer yes or no: Thomas is not cooking.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: Y is not making tea.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w_1, w_1 will sleep. Can we infer the following from them? Answer yes or no: Y is not sleeping.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w is fast. Can we infer the following from them? Answer yes or no: Karen is not fast.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z_4, z_4 is a sailor. Can we infer the following from them? Answer yes or no: W_4 is not a sailor.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will listen to a song. Can we infer the following from them? Answer yes or no: Richard is not listening to a song.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: X_3 is not climbing a mountain.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: Y is not happy.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_2, u_2 will write a letter. Can we infer the following from them? Answer yes or no: Linda is not writing a letter.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: Y is not happy.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: Elisabeth is not playing squash.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is an artist. Can we infer the following from them? Answer yes or no: Joseph is not an artist.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v will drive a car. Can we infer the following from them? Answer yes or no: John is not driving a car.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: Y is not driving a car.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w_1, w_1 is a cashier. Can we infer the following from them? Answer yes or no: Y is not a cashier.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: Y is not working.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x_2, x_2 is a police officer. Can we infer the following from them? Answer yes or no: Z is not a police officer.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: X_3 is not playing squash.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z_4, z_4 will cook. Can we infer the following from them? Answer yes or no: W_4 is not cooking.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z, z will play squash. Can we infer the following from them? Answer yes or no: Mary is not playing squash.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: V_3 is not an office clerk.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: V_3 is not listening to a song.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v will drink water. Can we infer the following from them? Answer yes or no: Robert is not drinking water.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will make tea. Can we infer the following from them? Answer yes or no: Barbara is not making tea.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z, z will go running. Can we infer the following from them? Answer yes or no: Sarah is not running.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v is bored. Can we infer the following from them? Answer yes or no: Susan is not bored.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: X_3 is not a musician.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is excited. Can we infer the following from them? Answer yes or no: V_2 is not excited.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: V_3 is not a musician.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will take a plane. Can we infer the following from them? Answer yes or no: X_3 is not taking a plane.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w_1, w_1 will play tennis. Can we infer the following from them? Answer yes or no: Y is not playing tennis.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w is an artist. Can we infer the following from them? Answer yes or no: Karen is not an artist.",no
predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v, v will listen to a song. Can we infer the following from them? Answer yes or no: Thomas is not listening to a song.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will write a letter if and only if x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays tennis does not imply that x is writing a letter.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all y, y is rich if and only if y is a sailor. For all y, y is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which y is rich.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v is not a doctor. For all v, v is a doctor if and only if v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a lawyer.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z_4, z_4 will listen to a song if and only if z_4 will take a plane. For all z_4, z_4 will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will listen to a song.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all w, w is a cashier if and only if w is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were a cashier does not imply that w is an astronaut.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is not an artist. For all x, x is an artist if and only if x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is an astronaut if and only if x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were an astronaut does not imply that x is curious.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z_2, z_2 will sleep if and only if z_2 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which the fact that z_2 sleeps does not imply that z_2 is a scientist.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v will climb a mountain if and only if v will write a letter. For all v, v will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all y, y is not rich. For all y, y will drink water if and only if y is rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drink water.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all w, w will not work. For all w, w is a poet if and only if w will work. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a poet.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a janitor if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a janitor does not imply that x is a lawyer.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will cook if and only if x will drink water. For all x, x will not drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is not a taxi driver. For all x, x is a taxi driver if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z_2, z_2 will play squash if and only if z_2 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which the fact that z_2 plays squash does not imply that z_2 is climbing a mountain.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v_4, v_4 will play tennis if and only if v_4 is sad. For all v_4, v_4 is not sad. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will play tennis.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z, z will play a game if and only if z is a musician. For all z, z is not a musician. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play a game.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a soldier if and only if x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a soldier does not imply that x is happy.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is not an astronaut. For all x, x is an astronaut if and only if x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will not sleep. For all x, x will work if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a writer if and only if x will read a book. For all x, x is not a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will not write a letter. For all x, x will write a letter if and only if x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will work if and only if x is an office clerk. For all x, x will not work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will play a game if and only if x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays a game does not imply that x is an electrician.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a poet if and only if x will play squash. For all x, x is not a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v is not curious. For all v, v is curious if and only if v is a cashier. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a cashier.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a writer if and only if x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x cooks does not imply that x is a writer.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will write a letter if and only if x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x writes a letter does not imply that x is playing tennis.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z, z will take a plane if and only if z will play a game. Can we infer the following from them? Answer yes or no: There is at least one z for which the fact that z takes a plane does not imply that z is playing a game.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is fast if and only if x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were fast does not imply that x is a carpenter.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is bored if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a mechanic does not imply that x is bored.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a sailor if and only if x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a sailor does not imply that x is cooking.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all w, w will write a letter if and only if w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w writes a letter does not imply that w is making tea.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z, z will not play a game. For all z, z is a writer if and only if z will play a game. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a writer.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all w, w is a scientist if and only if w will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were a scientist does not imply that w is listening to a song.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v is not a mechanic. For all v, v is a mechanic if and only if v will take a plane. Can we infer the following from them? Answer yes or no: There is at least one v for which v will take a plane.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v_4, v_4 will not listen to a song. For all v_4, v_4 will cook if and only if v_4 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will cook.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will play tennis if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x climbs a mountain does not imply that x is playing tennis.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x_1, x_1 is a sailor if and only if x_1 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a sailor does not imply that x_1 is a carpenter.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is not a poet. For all x, x will take a plane if and only if x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is fast if and only if x will go running. For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v is sad if and only if v is a soldier. Can we infer the following from them? Answer yes or no: There is at least one v for which the fact that v were a soldier does not imply that v is sad.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x_1, x_1 is a nurse if and only if x_1 will play squash. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a nurse does not imply that x_1 is playing squash.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will not play tennis. For all x, x is a sailor if and only if x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all u, u is curious if and only if u will drink water. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u drinks water does not imply that u is curious.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all w, w will play a game if and only if w is a musician. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w plays a game does not imply that w is a musician.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all v, v is a sailor if and only if v will drink water. For all v, v is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all y, y is not rich. For all y, y is excited if and only if y is rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y is excited.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is an office clerk if and only if x is fast. For all x, x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a cashier if and only if x will make tea. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z is a nurse and z is a sailor. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a sailor.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w_3, w_3 is excited and w_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not an office clerk.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will play a game and z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not play a game.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will climb a mountain and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will cook and z is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not cook.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will write a letter and x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w_3, w_3 is fast and w_3 is excited. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not excited.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z is sad and z is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a nurse.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will play a game and z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not read a book.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play squash and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a taxi driver and x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will work and x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a janitor and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w_3, w_3 will climb a mountain and w_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 will not climb a mountain.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is poor and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will sleep and x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all y, y is a soldier and y is an artist. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a soldier.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w_3, w_3 will play squash and w_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not a soldier.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a doctor and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all y, y is excited and y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not excited.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play a game and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play tennis and x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all y, y is a cashier and y will go running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not go running.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is poor and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will climb a mountain and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a writer and x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will climb a mountain and x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is curious and x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play a game and x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z is an astronaut and z is rich. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not rich.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z is a cashier and z will work. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a cashier.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will drive a car and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a janitor and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is rich and x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will play squash and z will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not write a letter.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is happy and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is an astronaut and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a police officer and x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z is excited and z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not excited.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a scientist and x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a soldier.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will sleep and x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will work and x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will climb a mountain and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will make tea and x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all y, y is a nurse and y will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a nurse.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will climb a mountain and z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not play squash.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a musician and x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all z, z will play a game and z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not play squash.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will go running and x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.",no
predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is rich and x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: John is playing a game. Can we infer the following from them? Answer yes or no: For all w, w will not play a game.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Susan is writing a letter. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: John is curious. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is not curious.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: David is playing tennis. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not play tennis.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Barbara is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael is a writer. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not a writer.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Susan is happy. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not happy.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael is listening to a song. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will not listen to a song.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Robert is playing squash. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not play squash.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Linda is a musician. Can we infer the following from them? Answer yes or no: For all y, y is not a musician.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Susan is drinking water. Can we infer the following from them? Answer yes or no: For all v, v will not drink water.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Patricia is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is not a bartender.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Richard is driving a car. Can we infer the following from them? Answer yes or no: For all v, v will not drive a car.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: William is reading a book. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not read a book.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: William is listening to a song. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will not listen to a song.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Joseph is making tea. Can we infer the following from them? Answer yes or no: For all y, y will not make tea.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Karen is an artist. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not an artist.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael is a janitor. Can we infer the following from them? Answer yes or no: For all z, z is not a janitor.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Thomas is curious. Can we infer the following from them? Answer yes or no: For all x, x is not curious.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: William is working. Can we infer the following from them? Answer yes or no: For all z, z will not work.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Linda is a sailor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not a sailor.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Linda is rich. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not rich.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Barbara is writing a letter. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: David is making tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Sarah is reading a book. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Karen is playing squash. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not play squash.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Barbara is driving a car. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not drive a car.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Sarah is fast. Can we infer the following from them? Answer yes or no: For all z, z is not fast.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Thomas is playing squash. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will not play squash.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Elisabeth is a bartender. Can we infer the following from them? Answer yes or no: For all w, w is not a bartender.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Joseph is curious. Can we infer the following from them? Answer yes or no: For all y, y is not curious.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: John is a police officer. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is not a police officer.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: William is listening to a song. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Elisabeth is rich. Can we infer the following from them? Answer yes or no: For all w, w is not rich.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Elisabeth is curious. Can we infer the following from them? Answer yes or no: For all v, v is not curious.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Barbara is cooking. Can we infer the following from them? Answer yes or no: For all z, z will not cook.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Patricia is rich. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is not rich.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: John is a bartender. Can we infer the following from them? Answer yes or no: For all v, v is not a bartender.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not climb a mountain.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: William is excited. Can we infer the following from them? Answer yes or no: For all v, v is not excited.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: John is rich. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not rich.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Susan is playing squash. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will not play squash.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Charles is a musician. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: David is poor. Can we infer the following from them? Answer yes or no: For all w, w is not poor.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Mary is playing squash. Can we infer the following from them? Answer yes or no: For all z, z will not play squash.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Robert is sad. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not sad.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Jennifer is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,existential generalization,contradiction,"Consider the following premises: Jessica is a server. Can we infer the following from them? Answer yes or no: For all z, z is not a server.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will read a book. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a cashier and the claim that x will read a book cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v is a janitor. For all v, v will cook. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will cook and the claim that v is a janitor cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w will drive a car. For all w, w is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w will drive a car and the claim that w is a lawyer cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v will go running. For all v, v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will go running and the claim that v will drink water cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will drive a car. For all x, x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play squash and the claim that x will drive a car cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is rich. For all z, z will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is rich and the claim that z will play tennis cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will cook. For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and the claim that x will cook cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will play tennis. For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will make tea and the claim that x will play tennis cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a sailor. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will drive a car and the claim that x is a sailor cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is an electrician. For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is an electrician and the claim that x is bored cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will read a book. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will read a book and the claim that x is an astronaut cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v is a taxi driver. For all v, v will drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will drive a car and the claim that v is a taxi driver cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is rich. For all z, z is fast. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is fast and the claim that z is rich cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w will read a book. For all w, w is fast. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is fast and the claim that w will read a book cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is bored. For all z, z is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is bored and the claim that z is a taxi driver cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a mechanic. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a mechanic and the claim that x is a bartender cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will listen to a song. For all x, x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will work and the claim that x will listen to a song cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will go running. For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is bored and the claim that x will go running cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a carpenter. For all x, x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a carpenter and the claim that x is happy cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w is a nurse. For all w, w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is an artist and the claim that w is a nurse cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a soldier. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will climb a mountain and the claim that x is a soldier cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v will take a plane. For all v, v will work. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will work and the claim that v will take a plane cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z will make tea. For all z, z is curious. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is curious and the claim that z will make tea cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will cook. For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a mechanic and the claim that x will cook cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is an electrician. For all z, z will go running. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z will go running and the claim that z is an electrician cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w is a musician. For all w, w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is a musician and the claim that w will make tea cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will drink water. For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will drink water and the claim that x will play a game cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will go running. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will go running and the claim that x will drive a car cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w is a sailor. For all w, w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is a sailor and the claim that w is a writer cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a nurse. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a nurse and the claim that x is a bartender cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z will listen to a song. For all z, z is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is a police officer and the claim that z will listen to a song cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is an electrician. For all z, z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z will play squash and the claim that z is an electrician cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will read a book. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will read a book and the claim that x will play tennis cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v will sleep. For all v, v is a janitor. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v is a janitor and the claim that v will sleep cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will listen to a song. For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is bored and the claim that x will listen to a song cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a janitor. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a janitor and the claim that x is a cashier cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a musician. For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will play a game and the claim that x is a musician cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w will drink water. For all w, w will cook. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w will drink water and the claim that w will cook cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z is a sailor. For all z, z will sleep. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is a sailor and the claim that z will sleep cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is an office clerk. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will write a letter and the claim that x is an office clerk cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all z, z will work. For all z, z will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z will work and the claim that z will write a letter cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will drive a car. For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is a taxi driver and the claim that x will drive a car cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v will drink water. For all v, v is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will drink water and the claim that v is a mechanic cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w is a lawyer. For all w, w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w will go running and the claim that w is a lawyer cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will climb a mountain. For all x, x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is bored and the claim that x will climb a mountain cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w will listen to a song. For all w, w will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w will listen to a song and the claim that w will take a plane cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will take a plane. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x will drive a car and the claim that x will take a plane cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v, v will drink water. For all v, v is sad. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v is sad and the claim that v will drink water cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w, w is a nurse. For all w, w will play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which the claim that w is a nurse and the claim that w will play a game cannot both be true.",no
predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is curious. For all x, x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which the claim that x is curious and the claim that x is a soldier cannot both be true.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not rich. For all x, x is rich or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a scientist. For all x, x is a scientist or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not fast. For all x, x is fast or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 is fast or w_1 will make tea. For all w_1, w_1 is not fast. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not make tea.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will take a plane or x is a politician. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 is a writer or w_1 is a server. For all w_1, w_1 is not a writer. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a server.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will play a game or v will read a book. For all v, v will not play a game. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not read a book.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will play tennis or x is a soldier. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a soldier.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will write a letter or x will drive a car. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 is not excited. For all w_1, w_1 is excited or w_1 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a sailor.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will go running or x will sleep. For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 will not play squash. For all w_1, w_1 will play squash or w_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not take a plane.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not excited. For all x, x is excited or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a writer. For all x, x is a writer or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is an electrician or x will work. For all x, x is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a server or x is fast. For all x, x is not a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is a police officer or w will cook. For all w, w is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will play tennis or w will write a letter. For all w, w will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not write a letter.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will cook or x is bored. For all x, x will not cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will climb a mountain or x will work. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is not excited. For all w, w is excited or w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a nurse.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a soldier. For all x, x is a soldier or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will play a game or x is an electrician. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will work or v will play squash. For all v, v will not work. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not play squash.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is an office clerk or x is a lawyer. For all x, x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 is a poet or w_1 will sleep. For all w_1, w_1 is not a poet. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not sleep.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 will not climb a mountain. For all w_1, w_1 will climb a mountain or w_1 is sad. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not sad.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 will go running or w_1 is a doctor. For all w_1, w_1 will not go running. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is not a doctor.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not sleep. For all x, x will sleep or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will not climb a mountain. For all v, v will climb a mountain or v is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not an astronaut.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is curious or x will go running. For all x, x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 is not a poet. For all w_1, w_1 is a poet or w_1 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not play tennis.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a cashier or x will read a book. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is not curious. For all v, v is curious or v is a cashier. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a cashier.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a soldier. For all x, x is a soldier or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will not write a letter. For all v, v will write a letter or v will drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not drink water.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is an artist or x is a musician. For all x, x is not an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is not a politician. For all w, w is a politician or w will work. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not work.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will climb a mountain or x will cook. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a poet. For all x, x is a poet or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not rich. For all x, x is rich or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w_1, w_1 will not read a book. For all w_1, w_1 will read a book or w_1 will drink water. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not drink water.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not go running. For all x, x will go running or x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not write a letter. For all x, x will write a letter or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will write a letter or x will make tea. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a mechanic or x is a poet. For all x, x is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.",no
predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not poor. For all x, x is poor or x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a soldier.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x will read a book. There is at least one x for which x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, the claim that x will read a book and the claim that x is a carpenter cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_1, u_1 will sleep. There is at least one u_1 for which u_1 will play tennis. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 will sleep and the claim that u_1 will play tennis cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_2, x_2 is a mechanic. There is at least one x_2 for which x_2 is an office clerk. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 is an office clerk and the claim that x_2 is a mechanic cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_3, x_3 is poor. There is at least one x_3 for which x_3 will go running. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 is poor and the claim that x_3 will go running cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_1, u_1 will drink water. There is at least one u_1 for which u_1 will take a plane. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 will drink water and the claim that u_1 will take a plane cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u is an astronaut. There is at least one u for which u will write a letter. Can we infer the following from them? Answer yes or no: For all u, the claim that u is an astronaut and the claim that u will write a letter cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_1, u_1 will climb a mountain. There is at least one u_1 for which u_1 is excited. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 will climb a mountain and the claim that u_1 is excited cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_2, x_2 is rich. There is at least one x_2 for which x_2 is a cashier. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 is a cashier and the claim that x_2 is rich cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_3, x_3 is a nurse. There is at least one x_3 for which x_3 will drink water. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 is a nurse and the claim that x_3 will drink water cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u is a police officer. There is at least one u for which u is a lawyer. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a lawyer and the claim that u is a police officer cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u is a musician. There is at least one u for which u will write a letter. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a musician and the claim that u will write a letter cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x_2 for which x_2 will read a book. For all x_2, x_2 will take a plane. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 will read a book and the claim that x_2 will take a plane cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all v, v will go running. There is at least one v for which v is sad. Can we infer the following from them? Answer yes or no: For all v, the claim that v will go running and the claim that v is sad cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all v, v will work. There is at least one v for which v is a bartender. Can we infer the following from them? Answer yes or no: For all v, the claim that v will work and the claim that v is a bartender cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is fast. For all x, x is a police officer. Can we infer the following from them? Answer yes or no: For all x, the claim that x is fast and the claim that x is a police officer cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_3, x_3 will work. There is at least one x_3 for which x_3 will take a plane. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 will work and the claim that x_3 will take a plane cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_3, x_3 will play a game. There is at least one x_3 for which x_3 is a lawyer. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 will play a game and the claim that x_3 is a lawyer cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all v, v will sleep. There is at least one v for which v is a server. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a server and the claim that v will sleep cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_1, u_1 is an astronaut. There is at least one u_1 for which u_1 will play tennis. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 is an astronaut and the claim that u_1 will play tennis cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_2, x_2 is a musician. There is at least one x_2 for which x_2 will cook. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 will cook and the claim that x_2 is a musician cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 is an artist. For all u_1, u_1 is a police officer. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 is a police officer and the claim that u_1 is an artist cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u is an office clerk. There is at least one u for which u is poor. Can we infer the following from them? Answer yes or no: For all u, the claim that u is poor and the claim that u is an office clerk cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v will work. For all v, v is a server. Can we infer the following from them? Answer yes or no: For all v, the claim that v will work and the claim that v is a server cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_2, x_2 will play tennis. There is at least one x_2 for which x_2 will work. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 will work and the claim that x_2 will play tennis cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u will drink water. There is at least one u for which u is rich. Can we infer the following from them? Answer yes or no: For all u, the claim that u is rich and the claim that u will drink water cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a bartender. There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a bartender and the claim that x will drive a car cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain. For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the claim that x will climb a mountain and the claim that x will listen to a song cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one u for which u is a scientist. For all u, u will play tennis. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a scientist and the claim that u will play tennis cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is a sailor. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, the claim that x will play tennis and the claim that x is a sailor cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v is an artist. For all v, v will drive a car. Can we infer the following from them? Answer yes or no: For all v, the claim that v is an artist and the claim that v will drive a car cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x will make tea. There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: For all x, the claim that x will make tea and the claim that x will sleep cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all v, v is a bartender. There is at least one v for which v will play a game. Can we infer the following from them? Answer yes or no: For all v, the claim that v will play a game and the claim that v is a bartender cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will cook. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is poor and the claim that x will cook cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v is an electrician. For all v, v is rich. Can we infer the following from them? Answer yes or no: For all v, the claim that v is an electrician and the claim that v is rich cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is an artist. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: For all x, the claim that x will drink water and the claim that x is an artist cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is rich. There is at least one x for which x is a cashier. Can we infer the following from them? Answer yes or no: For all x, the claim that x is rich and the claim that x is a cashier cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is bored. There is at least one x for which x is a sailor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is bored and the claim that x is a sailor cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v will go running. For all v, v is a cashier. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a cashier and the claim that v will go running cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_2, x_2 is bored. There is at least one x_2 for which x_2 is a bartender. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 is a bartender and the claim that x_2 is bored cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x_2 for which x_2 is curious. For all x_2, x_2 will drive a car. Can we infer the following from them? Answer yes or no: For all x_2, the claim that x_2 will drive a car and the claim that x_2 is curious cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all v, v will play a game. There is at least one v for which v is a scientist. Can we infer the following from them? Answer yes or no: For all v, the claim that v will play a game and the claim that v is a scientist cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_3, x_3 is happy. There is at least one x_3 for which x_3 is a musician. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 is happy and the claim that x_3 is a musician cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is an artist. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: For all x, the claim that x is an artist and the claim that x will drink water cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will work. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a bartender and the claim that x will work cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is a server. For all x, x is an artist. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a server and the claim that x is an artist cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one w for which w will drink water. For all w, w is a nurse. Can we infer the following from them? Answer yes or no: For all w, the claim that w will drink water and the claim that w is a nurse cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v will read a book. For all v, v is sad. Can we infer the following from them? Answer yes or no: For all v, the claim that v is sad and the claim that v will read a book cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u, u is a doctor. There is at least one u for which u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a doctor and the claim that u is a taxi driver cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a bartender. There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: For all x, the claim that x will cook and the claim that x is a bartender cannot both be true.",no
predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v will play a game. For all v, v will drink water. Can we infer the following from them? Answer yes or no: For all v, the claim that v will drink water and the claim that v will play a game cannot both be true.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were fast, then x_1 is listening to a song. For all x_1, if x_1 were a police officer, then x_1 is fast. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a police officer does not imply that x_1 is listening to a song.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u drives a car, then u is an electrician. For all u, if u works, then u is driving a car. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u works does not imply that u is an electrician.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x makes tea, then x is a politician. For all x, if x were a politician, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x makes tea does not imply that x is a nurse.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 takes a plane, then u_4 is drinking water. For all u_4, if u_4 were happy, then u_4 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 were happy does not imply that u_4 is drinking water.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were sad, then u is running. For all u, if u goes running, then u is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u were sad does not imply that u is playing a game.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 writes a letter, then x_1 is a politician. For all x_1, if x_1 goes running, then x_1 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 goes running does not imply that x_1 is a politician.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were bored, then x is a writer. For all x, if x were a writer, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were bored does not imply that x is playing a game.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were rich, then x is cooking. For all x, if x works, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x works does not imply that x is cooking.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_3, if u_3 were excited, then u_3 is a cashier. For all u_3, if u_3 were poor, then u_3 is excited. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which the fact that u_3 were poor does not imply that u_3 is a cashier.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were sad, then x_1 is writing a letter. For all x_1, if x_1 were an artist, then x_1 is sad. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were an artist does not imply that x_1 is writing a letter.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is fast. For all x, if x were fast, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x listens to a song does not imply that x is sleeping.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 sleeps, then x_1 is a server. For all x_1, if x_1 were bored, then x_1 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were bored does not imply that x_1 is a server.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_3, if u_3 works, then u_3 is rich. For all u_3, if u_3 were rich, then u_3 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which the fact that u_3 works does not imply that u_3 is writing a letter.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 drives a car, then x_1 is a sailor. For all x_1, if x_1 were a sailor, then x_1 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 drives a car does not imply that x_1 is taking a plane.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were a lawyer, then x_1 is running. For all x_1, if x_1 were happy, then x_1 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were happy does not imply that x_1 is running.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 makes tea, then x_1 is a bartender. For all x_1, if x_1 were an artist, then x_1 is making tea. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were an artist does not imply that x_1 is a bartender.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_3, if u_3 were a mechanic, then u_3 is bored. For all u_3, if u_3 were sad, then u_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which the fact that u_3 were sad does not imply that u_3 is bored.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 were a writer, then u_4 is taking a plane. For all u_4, if u_4 takes a plane, then u_4 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 were a writer does not imply that u_4 is a janitor.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is cooking. For all x, if x cooks, then x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a soldier does not imply that x is a taxi driver.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 reads a book, then u_4 is playing a game. For all u_4, if u_4 plays a game, then u_4 is a poet. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 reads a book does not imply that u_4 is a poet.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 works, then x_1 is a politician. For all x_1, if x_1 were a poet, then x_1 is working. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a poet does not imply that x_1 is a politician.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is playing squash. For all x, if x climbs a mountain, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x climbs a mountain does not imply that x is playing squash.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a lawyer, then x is working. For all x, if x writes a letter, then x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x writes a letter does not imply that x is working.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 were a bartender, then u_4 is climbing a mountain. For all u_4, if u_4 were a musician, then u_4 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 were a musician does not imply that u_4 is climbing a mountain.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x reads a book, then x is playing tennis. For all x, if x plays tennis, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x reads a book does not imply that x is listening to a song.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x drinks water, then x is a carpenter. For all x, if x were a writer, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a writer does not imply that x is a carpenter.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a mechanic, then x is taking a plane. For all x, if x takes a plane, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a mechanic does not imply that x is a nurse.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 were a server, then u_4 is a carpenter. For all u_4, if u_4 were a carpenter, then u_4 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 were a server does not imply that u_4 is playing a game.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u goes running, then u is reading a book. For all u, if u were a politician, then u is running. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u were a politician does not imply that u is reading a book.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were an electrician, then x_1 is a politician. For all x_1, if x_1 were a politician, then x_1 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were an electrician does not imply that x_1 is playing tennis.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were sad, then x_1 is a musician. For all x_1, if x_1 were a writer, then x_1 is sad. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a writer does not imply that x_1 is a musician.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_3, if u_3 plays a game, then u_3 is a musician. For all u_3, if u_3 were a musician, then u_3 is a poet. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which the fact that u_3 plays a game does not imply that u_3 is a poet.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is a soldier. For all x, if x were fast, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were fast does not imply that x is a soldier.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u_4, if u_4 plays squash, then u_4 is a police officer. For all u_4, if u_4 were a police officer, then u_4 is a server. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which the fact that u_4 plays squash does not imply that u_4 is a server.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x cooks, then x is an artist. For all x, if x were an artist, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x cooks does not imply that x is climbing a mountain.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were an electrician, then x is working. For all x, if x were a politician, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a politician does not imply that x is working.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were a janitor, then x_1 is driving a car. For all x_1, if x_1 drives a car, then x_1 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a janitor does not imply that x_1 is a carpenter.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is a scientist. For all x, if x were a scientist, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x writes a letter does not imply that x is making tea.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is sad. For all x, if x were an artist, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were an artist does not imply that x is sad.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a musician, then x is sleeping. For all x, if x were an artist, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were an artist does not imply that x is sleeping.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x sleeps, then x is a bartender. For all x, if x were a bartender, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x sleeps does not imply that x is drinking water.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u plays tennis, then u is a carpenter. For all u, if u were poor, then u is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u were poor does not imply that u is a carpenter.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is a nurse. For all x, if x plays tennis, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x plays tennis does not imply that x is a nurse.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were poor, then x is playing tennis. For all x, if x cooks, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x cooks does not imply that x is playing tennis.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 were a soldier, then x_1 is running. For all x_1, if x_1 goes running, then x_1 is happy. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 were a soldier does not imply that x_1 is happy.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were an astronaut, then u is listening to a song. For all u, if u listens to a song, then u is playing squash. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u were an astronaut does not imply that u is playing squash.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were fast, then u is a poet. For all u, if u makes tea, then u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u makes tea does not imply that u is a poet.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x works, then x is writing a letter. For all x, if x writes a letter, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x works does not imply that x is a nurse.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x_1, if x_1 plays squash, then x_1 is listening to a song. For all x_1, if x_1 listens to a song, then x_1 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which the fact that x_1 plays squash does not imply that x_1 is driving a car.",no
predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were rich, then x is an electrician. For all x, if x were a sailor, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x were a sailor does not imply that x is an electrician.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x cooks, then x is a politician. For all x, if x were a politician, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, the fact that x cooks does not imply that x is taking a plane.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w were poor, then w is a sailor. There is at least one w for which if w were a soldier, then w is poor. Can we infer the following from them? Answer yes or no: For all w, the fact that w were a soldier does not imply that w is a sailor.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y were a police officer, then y is playing squash. For all y, if y plays squash, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a police officer does not imply that y is drinking water.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is making tea. For all x, if x were a bartender, then x is running. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a bartender does not imply that x is making tea.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x were an office clerk, then x is an artist. For all x, if x were an artist, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, the fact that x were an office clerk does not imply that x is playing tennis.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were a mechanic, then y is driving a car. There is at least one y for which if y makes tea, then y is a mechanic. Can we infer the following from them? Answer yes or no: For all y, the fact that y makes tea does not imply that y is driving a car.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y were a police officer, then y is taking a plane. For all y, if y were a server, then y is a police officer. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a server does not imply that y is taking a plane.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x were a poet, then x is reading a book. For all x, if x reads a book, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a poet does not imply that x is playing a game.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one v for which if v were bored, then v is a mechanic. For all v, if v were a mechanic, then v is climbing a mountain. Can we infer the following from them? Answer yes or no: For all v, the fact that v were bored does not imply that v is climbing a mountain.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were happy, then x is playing squash. There is at least one x for which if x reads a book, then x is happy. Can we infer the following from them? Answer yes or no: For all x, the fact that x reads a book does not imply that x is playing squash.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one w for which if w reads a book, then w is an electrician. For all w, if w were an electrician, then w is excited. Can we infer the following from them? Answer yes or no: For all w, the fact that w reads a book does not imply that w is excited.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is writing a letter. There is at least one x for which if x sleeps, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, the fact that x sleeps does not imply that x is writing a letter.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were an electrician, then x is fast. There is at least one x for which if x plays tennis, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, the fact that x plays tennis does not imply that x is fast.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is reading a book. For all x, if x reads a book, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, the fact that x climbs a mountain does not imply that x is a carpenter.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y reads a book, then y is drinking water. There is at least one y for which if y drinks water, then y is playing tennis. Can we infer the following from them? Answer yes or no: For all y, the fact that y reads a book does not imply that y is playing tennis.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x goes running, then x is reading a book. There is at least one x for which if x were a carpenter, then x is running. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a carpenter does not imply that x is reading a book.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x were an artist, then x is driving a car. For all x, if x were sad, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, the fact that x were sad does not imply that x is driving a car.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x were a writer, then x is a sailor. For all x, if x were a sailor, then x is working. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a writer does not imply that x is working.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y reads a book, then y is a poet. For all y, if y were a poet, then y is a cashier. Can we infer the following from them? Answer yes or no: For all y, the fact that y reads a book does not imply that y is a cashier.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were curious, then y is a bartender. There is at least one y for which if y were a writer, then y is curious. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a writer does not imply that y is a bartender.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a musician, then x is playing squash. There is at least one x for which if x were a police officer, then x is a musician. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a police officer does not imply that x is playing squash.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y sleeps, then y is a bartender. There is at least one y for which if y drives a car, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, the fact that y drives a car does not imply that y is a bartender.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x goes running, then x is an office clerk. There is at least one x for which if x were an office clerk, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, the fact that x goes running does not imply that x is playing squash.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x_4 for which if x_4 goes running, then x_4 is climbing a mountain. For all x_4, if x_4 works, then x_4 is running. Can we infer the following from them? Answer yes or no: For all x_4, the fact that x_4 works does not imply that x_4 is climbing a mountain.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y makes tea, then y is a taxi driver. For all y, if y were a cashier, then y is making tea. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a cashier does not imply that y is a taxi driver.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w plays squash, then w is a taxi driver. There is at least one w for which if w plays a game, then w is playing squash. Can we infer the following from them? Answer yes or no: For all w, the fact that w plays a game does not imply that w is a taxi driver.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were poor, then x is a cashier. There is at least one x for which if x were an office clerk, then x is poor. Can we infer the following from them? Answer yes or no: For all x, the fact that x were an office clerk does not imply that x is a cashier.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x drives a car, then x is sleeping. There is at least one x for which if x plays squash, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, the fact that x plays squash does not imply that x is sleeping.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y sleeps, then y is making tea. There is at least one y for which if y drinks water, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, the fact that y drinks water does not imply that y is making tea.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were a nurse, then y is an astronaut. There is at least one y for which if y were an astronaut, then y is a doctor. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a nurse does not imply that y is a doctor.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x plays squash, then x is driving a car. There is at least one x for which if x were rich, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, the fact that x were rich does not imply that x is driving a car.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a janitor, then x is cooking. There is at least one x for which if x were an office clerk, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, the fact that x were an office clerk does not imply that x is cooking.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were a carpenter, then y is driving a car. There is at least one y for which if y drives a car, then y is running. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a carpenter does not imply that y is running.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x drives a car, then x is fast. For all x, if x were rich, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, the fact that x were rich does not imply that x is fast.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y makes tea, then y is driving a car. There is at least one y for which if y drives a car, then y is excited. Can we infer the following from them? Answer yes or no: For all y, the fact that y makes tea does not imply that y is excited.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x were a police officer, then x is sad. For all x, if x were sad, then x is curious. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a police officer does not imply that x is curious.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y reads a book, then y is a janitor. There is at least one y for which if y were a janitor, then y is a mechanic. Can we infer the following from them? Answer yes or no: For all y, the fact that y reads a book does not imply that y is a mechanic.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x reads a book, then x is playing tennis. There is at least one x for which if x were a taxi driver, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a taxi driver does not imply that x is playing tennis.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is running. For all x, if x were a nurse, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a nurse does not imply that x is running.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y makes tea, then y is a carpenter. There is at least one y for which if y were a carpenter, then y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, the fact that y makes tea does not imply that y is an office clerk.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were a sailor, then y is working. There is at least one y for which if y were an astronaut, then y is a sailor. Can we infer the following from them? Answer yes or no: For all y, the fact that y were an astronaut does not imply that y is working.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y were happy, then y is a carpenter. For all y, if y drives a car, then y is happy. Can we infer the following from them? Answer yes or no: For all y, the fact that y drives a car does not imply that y is a carpenter.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one y for which if y were an artist, then y is playing tennis. For all y, if y takes a plane, then y is an artist. Can we infer the following from them? Answer yes or no: For all y, the fact that y takes a plane does not imply that y is playing tennis.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were a mechanic, then y is playing a game. There is at least one y for which if y plays a game, then y is taking a plane. Can we infer the following from them? Answer yes or no: For all y, the fact that y were a mechanic does not imply that y is taking a plane.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x cooks, then x is bored. For all x, if x were a poet, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a poet does not imply that x is bored.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x drives a car, then x is working. For all x, if x takes a plane, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, the fact that x takes a plane does not imply that x is working.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were bored, then y is drinking water. There is at least one y for which if y drinks water, then y is a politician. Can we infer the following from them? Answer yes or no: For all y, the fact that y were bored does not imply that y is a politician.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then x is reading a book. For all x, if x reads a book, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the fact that x writes a letter does not imply that x is an office clerk.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x plays tennis, then x is climbing a mountain. For all x, if x climbs a mountain, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, the fact that x plays tennis does not imply that x is sleeping.",no
predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all y, if y were an artist, then y is drinking water. There is at least one y for which if y drinks water, then y is curious. Can we infer the following from them? Answer yes or no: For all y, the fact that y were an artist does not imply that y is curious.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were bored, then x is drinking water. For all x, x will not drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y_4, y_4 will write a letter. For all y_4, if y_4 were a scientist, then y_4 is not writing a letter. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a scientist.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, if w cooks, then w is playing a game. For all w, w will not play a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z, z is a bartender. For all z, if z works, then z is not a bartender. Can we infer the following from them? Answer yes or no: There is at least one z for which z will work.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z_2, if z_2 makes tea, then z_2 is not playing tennis. For all z_2, z_2 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will make tea.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not drink water. For all x, if x makes tea, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y_4, y_4 is a janitor. For all y_4, if y_4 drinks water, then y_4 is not a janitor. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will drink water.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x_3, x_3 is not a janitor. For all x_3, if x_3 works, then x_3 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will work.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, y is a lawyer. For all y, if y reads a book, then y is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y for which y will read a book.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, y will not drive a car. For all y, if y were excited, then y is driving a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y is excited.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x plays squash, then x is a bartender. For all x, x is not a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is a janitor. For all x, if x were curious, then x is not a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were curious, then x is not a soldier. For all x, x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z, z will write a letter. For all z, if z were fast, then z is not writing a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which z is fast.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z, z will work. For all z, if z were a soldier, then z is not working. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a soldier.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z_2, if z_2 were a writer, then z_2 is not a musician. For all z_2, z_2 is a musician. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a writer.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were poor, then x is driving a car. For all x, x will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z_2, z_2 is not a doctor. For all z_2, if z_2 works, then z_2 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will work.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, w will make tea. For all w, if w listens to a song, then w is not making tea. Can we infer the following from them? Answer yes or no: There is at least one w for which w will listen to a song.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, if w plays tennis, then w is a server. For all w, w is not a server. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play tennis.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, w is an office clerk. For all w, if w were a writer, then w is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a writer.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x drives a car, then x is sleeping. For all x, x will not sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is a lawyer. For all x, x is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were curious, then x is rich. For all x, x is not rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, w will not drink water. For all w, if w sleeps, then w is drinking water. Can we infer the following from them? Answer yes or no: There is at least one w for which w will sleep.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x works, then x is curious. For all x, x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not sleep. For all x, if x were a soldier, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is a cashier. For all x, x is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is a cashier. For all x, if x were rich, then x is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y_4, if y_4 were a doctor, then y_4 is not reading a book. For all y_4, y_4 will read a book. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a doctor.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not take a plane. For all x, if x were a nurse, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not drive a car. For all x, if x drinks water, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is happy. For all x, if x were bored, then x is not happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y_4, y_4 is curious. For all y_4, if y_4 were a nurse, then y_4 is not curious. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a nurse.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, if w climbs a mountain, then w is not a doctor. For all w, w is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all v, v is not sad. For all v, if v were a musician, then v is sad. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a musician.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z, z will drink water. For all z, if z were a poet, then z is not drinking water. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a poet.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were a writer, then x is listening to a song. For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, if y cooks, then y is not listening to a song. For all y, y will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x plays squash, then x is playing tennis. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x_3, x_3 is not a soldier. For all x_3, if x_3 were sad, then x_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is sad.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all w, w is not a writer. For all w, if w were bored, then w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is bored.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is not a sailor. For all x, if x works, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is not a server. For all x, if x were a poet, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x is a lawyer. For all x, if x were an astronaut, then x is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, if y were an electrician, then y is playing squash. For all y, y will not play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y is an electrician.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will drink water. For all x, if x were a carpenter, then x is not drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is curious. For all x, x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all z_2, if z_2 were an office clerk, then z_2 is not playing squash. For all z_2, z_2 will play squash. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is an office clerk.",no
predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x plays squash, then x is a lawyer. For all x, x is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x sleeps, then x is a poet. For all x, if x were a poet, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a poet if and only if x will sleep.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x goes running, then x is playing a game. For all x, if x plays a game, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will go running if and only if x will play a game.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x_2, if x_2 makes tea, then x_2 is a scientist. For all x_2, if x_2 were a scientist, then x_2 is making tea. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which it is not true that x_2 is a scientist if and only if x_2 will make tea.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is cooking. For all x, if x cooks, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will climb a mountain if and only if x will cook.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x reads a book, then x is an electrician. For all x, if x were an electrician, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is an electrician if and only if x will read a book.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 were an office clerk, then z_4 is taking a plane. For all z_4, if z_4 takes a plane, then z_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 is an office clerk if and only if z_4 will take a plane.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x works, then x is listening to a song. For all x, if x listens to a song, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will work if and only if x will listen to a song.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is sleeping. For all x, if x sleeps, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will write a letter if and only if x will sleep.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all v, if v works, then v is rich. For all v, if v were rich, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which it is not true that v will work if and only if v is rich.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z takes a plane, then z is playing tennis. For all z, if z plays tennis, then z is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will play tennis if and only if z will take a plane.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a musician, then x is reading a book. For all x, if x reads a book, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will read a book if and only if x is a musician.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x drinks water, then x is working. For all x, if x works, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will drink water if and only if x will work.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 were excited, then z_4 is writing a letter. For all z_4, if z_4 writes a letter, then z_4 is excited. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will write a letter if and only if z_4 is excited.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is making tea. For all x, if x makes tea, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a soldier if and only if x will make tea.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a politician, then x is driving a car. For all x, if x drives a car, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a politician if and only if x will drive a car.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z reads a book, then z is playing a game. For all z, if z plays a game, then z is reading a book. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will play a game if and only if z will read a book.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x reads a book, then x is cooking. For all x, if x cooks, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will cook if and only if x will read a book.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x sleeps, then x is a lawyer. For all x, if x were a lawyer, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will sleep if and only if x is a lawyer.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 were a police officer, then z_4 is poor. For all z_4, if z_4 were poor, then z_4 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 is poor if and only if z_4 is a police officer.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were an artist, then x is cooking. For all x, if x cooks, then x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will cook if and only if x is an artist.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x cooks, then x is driving a car. For all x, if x drives a car, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will drive a car if and only if x will cook.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x_2, if x_2 were a doctor, then x_2 is sleeping. For all x_2, if x_2 sleeps, then x_2 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which it is not true that x_2 is a doctor if and only if x_2 will sleep.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a politician, then x is listening to a song. For all x, if x listens to a song, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a politician if and only if x will listen to a song.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is fast. For all x, if x were fast, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is fast if and only if x will write a letter.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 drives a car, then z_4 is happy. For all z_4, if z_4 were happy, then z_4 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will drive a car if and only if z_4 is happy.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 plays tennis, then z_4 is a scientist. For all z_4, if z_4 were a scientist, then z_4 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will play tennis if and only if z_4 is a scientist.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays a game, then x is listening to a song. For all x, if x listens to a song, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will listen to a song if and only if x will play a game.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 plays a game, then z_4 is making tea. For all z_4, if z_4 makes tea, then z_4 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will make tea if and only if z_4 will play a game.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x drives a car, then x is drinking water. For all x, if x drinks water, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will drive a car if and only if x will drink water.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all v, if v reads a book, then v is an office clerk. For all v, if v were an office clerk, then v is reading a book. Can we infer the following from them? Answer yes or no: There is at least one v for which it is not true that v will read a book if and only if v is an office clerk.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z plays tennis, then z is climbing a mountain. For all z, if z climbs a mountain, then z is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z will play tennis if and only if z will climb a mountain.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 goes running, then z_4 is playing tennis. For all z_4, if z_4 plays tennis, then z_4 is running. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will go running if and only if z_4 will play tennis.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 were a sailor, then z_4 is an artist. For all z_4, if z_4 were an artist, then z_4 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 is an artist if and only if z_4 is a sailor.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a bartender, then x is drinking water. For all x, if x drinks water, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will drink water if and only if x is a bartender.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays squash, then x is cooking. For all x, if x cooks, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will play squash if and only if x will cook.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x_2, if x_2 were rich, then x_2 is a nurse. For all x_2, if x_2 were a nurse, then x_2 is rich. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which it is not true that x_2 is rich if and only if x_2 is a nurse.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all v, if v works, then v is excited. For all v, if v were excited, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which it is not true that v is excited if and only if v will work.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were excited, then x is playing a game. For all x, if x plays a game, then x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is excited if and only if x will play a game.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is taking a plane. For all x, if x takes a plane, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a soldier if and only if x will take a plane.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a musician, then x is an artist. For all x, if x were an artist, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is an artist if and only if x is a musician.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x_2, if x_2 were a politician, then x_2 is a nurse. For all x_2, if x_2 were a nurse, then x_2 is a politician. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which it is not true that x_2 is a nurse if and only if x_2 is a politician.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_4, if z_4 goes running, then z_4 is playing a game. For all z_4, if z_4 plays a game, then z_4 is running. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which it is not true that z_4 will go running if and only if z_4 will play a game.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is a taxi driver. For all x, if x were a taxi driver, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will take a plane if and only if x is a taxi driver.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is reading a book. For all x, if x reads a book, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will read a book if and only if x will listen to a song.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a cashier, then x is taking a plane. For all x, if x takes a plane, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a cashier if and only if x will take a plane.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a writer, then x is happy. For all x, if x were happy, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is happy if and only if x is a writer.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a janitor, then x is a musician. For all x, if x were a musician, then x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x is a janitor if and only if x is a musician.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all v, if v listens to a song, then v is playing tennis. For all v, if v plays tennis, then v is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which it is not true that v will listen to a song if and only if v will play tennis.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z takes a plane, then z is a writer. For all z, if z were a writer, then z is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which it is not true that z is a writer if and only if z will take a plane.",no
predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is a server. For all x, if x were a server, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which it is not true that x will climb a mountain if and only if x is a server.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will read a book and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u will go running and u will drink water. Can we infer the following from them? Answer yes or no: For all u, u will not drink water.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will drive a car and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v will play squash and v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will not play squash.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: Some sailors will play tennis. Can we infer the following from them? Answer yes or no: For all y, y will not play tennis.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will sleep and u_4 is sad. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not sleep.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v will drive a car and v is a poet. Can we infer the following from them? Answer yes or no: For all v, v will not drive a car.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: Some writers will make tea. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not make tea.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is an office clerk and u_4 is a sailor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not a sailor.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u will read a book and u is a nurse. Can we infer the following from them? Answer yes or no: For all u, u will not read a book.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will cook and u_4 will read a book. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not read a book.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will cook and u_4 will work. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not cook.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is curious and u_4 is excited. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not curious.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will play a game and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is curious and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not curious.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v will play tennis and v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will not play tennis.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: Some mechanics are bartenders. Can we infer the following from them? Answer yes or no: For all y, y is not a mechanic.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is curious and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is not curious.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a bartender and x is happy. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will sleep and u_4 is rich. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not sleep.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x_3 for which x_3 will play tennis and x_3 will take a plane. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not take a plane.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will play squash and u_4 is poor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not poor.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a police officer and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v will write a letter and v is a soldier. Can we infer the following from them? Answer yes or no: For all v, v is not a soldier.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will cook and u_4 is an astronaut. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not an astronaut.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will drive a car and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y for which y is an electrician and y is rich. Can we infer the following from them? Answer yes or no: For all y, y is not an electrician.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a doctor and x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will work and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x_3 for which x_3 is a taxi driver and x_3 will go running. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not go running.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u will climb a mountain and u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will not play squash.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will sleep and x is a server. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u is a police officer and u is a soldier. Can we infer the following from them? Answer yes or no: For all u, u is not a police officer.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u is a taxi driver and u will play a game. Can we infer the following from them? Answer yes or no: For all u, u is not a taxi driver.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a writer and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u for which u is bored and u is a nurse. Can we infer the following from them? Answer yes or no: For all u, u is not a nurse.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x_3 for which x_3 is an artist and x_3 is a taxi driver. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is not a taxi driver.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: Some sailors are scientists. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: Some poets are scientists. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x_3 for which x_3 is poor and x_3 is a bartender. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is not a bartender.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will take a plane and x is poor. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v will drive a car and v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will not drive a car.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y for which y will read a book and y is a police officer. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will work and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y for which y is a politician and y is rich. Can we infer the following from them? Answer yes or no: For all y, y is not a politician.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y for which y will play a game and y will drink water. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y for which y will read a book and y is a server. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a scientist and x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is poor and u_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not a taxi driver.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is a lawyer or x will sleep. For all x, if x sleeps, then x is fast. For all x, if x were a lawyer, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a nurse, then x is playing a game. For all x, x is a nurse or x is a soldier. For all x, if x were a soldier, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were an artist, then x is listening to a song. For all x, x is an artist or x will write a letter. For all x, if x writes a letter, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is a carpenter or x is a mechanic. For all x, if x were a mechanic, then x is driving a car. For all x, if x were a carpenter, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is an office clerk or x will drink water. For all x, if x drinks water, then x is poor. For all x, if x were an office clerk, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is making tea. For all x, if x drives a car, then x is making tea. For all x, x will drive a car or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will go running or x is poor. For all x, if x goes running, then x is a writer. For all x, if x were poor, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x reads a book, then x is bored. For all x, x will read a book or x will drink water. For all x, if x drinks water, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will go running or x is a janitor. For all x, if x were a janitor, then x is curious. For all x, if x goes running, then x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will sleep or x will go running. For all x, if x sleeps, then x is climbing a mountain. For all x, if x goes running, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were bored, then x is a mechanic. For all x, x is bored or x is a police officer. For all x, if x were a police officer, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is making tea. For all x, x will climb a mountain or x will write a letter. For all x, if x writes a letter, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is a cashier or x will take a plane. For all x, if x takes a plane, then x is a soldier. For all x, if x were a cashier, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a soldier.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were an electrician, then x is making tea. For all x, if x drinks water, then x is making tea. For all x, x will drink water or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, if w were curious, then w is climbing a mountain. For all w, if w were a writer, then w is climbing a mountain. For all w, w is a writer or w is curious. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were rich, then x is a server. For all x, x will work or x is rich. For all x, if x works, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all v_3, if v_3 were an astronaut, then v_3 is running. For all v_3, v_3 is sad or v_3 is an astronaut. For all v_3, if v_3 were sad, then v_3 is running. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not go running.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x makes tea, then x is drinking water. For all x, if x reads a book, then x is drinking water. For all x, x will read a book or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a lawyer, then x is driving a car. For all x, x is a lawyer or x will cook. For all x, if x cooks, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, if w were poor, then w is an electrician. For all w, if w goes running, then w is an electrician. For all w, w will go running or w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an electrician.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x makes tea, then x is a server. For all x, if x drives a car, then x is a server. For all x, x will drive a car or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, if w were a server, then w is taking a plane. For all w, if w were fast, then w is taking a plane. For all w, w is fast or w is a server. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not take a plane.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x reads a book, then x is a carpenter. For all x, if x were bored, then x is a carpenter. For all x, x will read a book or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is an electrician. For all x, if x listens to a song, then x is an electrician. For all x, x will listen to a song or x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x works, then x is drinking water. For all x, x will work or x will drive a car. For all x, if x drives a car, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will listen to a song or x will make tea. For all x, if x listens to a song, then x is a musician. For all x, if x makes tea, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, w is a cashier or w will cook. For all w, if w were a cashier, then w is an astronaut. For all w, if w cooks, then w is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an astronaut.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a sailor, then x is sad. For all x, x is a sailor or x is a lawyer. For all x, if x were a lawyer, then x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not sad.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x works, then x is playing tennis. For all x, x will listen to a song or x will work. For all x, if x listens to a song, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is playing tennis. For all x, if x reads a book, then x is playing tennis. For all x, x will read a book or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, w is an office clerk or w will play a game. For all w, if w were an office clerk, then w is a scientist. For all w, if w plays a game, then w is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a scientist.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x works, then x is a carpenter. For all x, x is a police officer or x will work. For all x, if x were a police officer, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, if w takes a plane, then w is cooking. For all w, w is a police officer or w will take a plane. For all w, if w were a police officer, then w is cooking. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, w will go running or w will drink water. For all w, if w drinks water, then w is climbing a mountain. For all w, if w goes running, then w is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will listen to a song or x is an artist. For all x, if x were an artist, then x is a musician. For all x, if x listens to a song, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a musician.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will drink water or x will play a game. For all x, if x drinks water, then x is a cashier. For all x, if x plays a game, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all w, if w reads a book, then w is an artist. For all w, if w were a writer, then w is an artist. For all w, w is a writer or w will read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an artist.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will take a plane or x is a doctor. For all x, if x were a doctor, then x is drinking water. For all x, if x takes a plane, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a nurse, then x is working. For all x, x is a nurse or x will play a game. For all x, if x plays a game, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will sleep or x will play squash. For all x, if x sleeps, then x is fast. For all x, if x plays squash, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is a poet. For all x, if x were a janitor, then x is a poet. For all x, x will write a letter or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is drinking water. For all x, x will take a plane or x will drive a car. For all x, if x drives a car, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is a poet or x is a bartender. For all x, if x were a poet, then x is fast. For all x, if x were a bartender, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were bored, then x is climbing a mountain. For all x, x is bored or x will cook. For all x, if x cooks, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x plays squash, then x is driving a car. For all x, if x works, then x is driving a car. For all x, x will play squash or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is an astronaut. For all x, if x were sad, then x is an astronaut. For all x, x will climb a mountain or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will play a game or x will read a book. For all x, if x plays a game, then x is playing tennis. For all x, if x reads a book, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were an astronaut, then x is a scientist. For all x, if x makes tea, then x is a scientist. For all x, x will make tea or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is a cashier. For all x, x will take a plane or x is rich. For all x, if x were rich, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.",no
predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all v_3, if v_3 makes tea, then v_3 is running. For all v_3, if v_3 writes a letter, then v_3 is running. For all v_3, v_3 will make tea or v_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not go running.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one v for which if v plays squash, then v is making tea. For all v, if v makes tea, then v is playing squash. Can we infer the following from them? Answer yes or no: For all v, it is not true that v will play squash if and only if v will make tea.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_2, if z_2 climbs a mountain, then z_2 is poor. There is at least one z_2 for which if z_2 were poor, then z_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z_2, it is not true that z_2 will climb a mountain if and only if z_2 is poor.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a writer, then x is taking a plane. There is at least one x for which if x takes a plane, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a writer if and only if x will take a plane.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z, if z takes a plane, then z is a server. There is at least one z for which if z were a server, then z is taking a plane. Can we infer the following from them? Answer yes or no: For all z, it is not true that z is a server if and only if z will take a plane.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x makes tea, then x is working. For all x, if x works, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will make tea if and only if x will work.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x were a scientist, then x is an artist. For all x, if x were an artist, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a scientist if and only if x is an artist.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y were a cashier, then y is playing a game. For all y, if y plays a game, then y is a cashier. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will play a game if and only if y is a cashier.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y sleeps, then y is listening to a song. For all y, if y listens to a song, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will listen to a song if and only if y will sleep.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one v for which if v drinks water, then v is a doctor. For all v, if v were a doctor, then v is drinking water. Can we infer the following from them? Answer yes or no: For all v, it is not true that v is a doctor if and only if v will drink water.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z for which if z climbs a mountain, then z is playing tennis. For all z, if z plays tennis, then z is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z, it is not true that z will climb a mountain if and only if z will play tennis.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y were a scientist, then y is cooking. There is at least one y for which if y cooks, then y is a scientist. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will cook if and only if y is a scientist.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y makes tea, then y is writing a letter. There is at least one y for which if y writes a letter, then y is making tea. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will make tea if and only if y will write a letter.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one u for which if u were bored, then u is running. For all u, if u goes running, then u is bored. Can we infer the following from them? Answer yes or no: For all u, it is not true that u is bored if and only if u will go running.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 listens to a song, then z_3 is a doctor. There is at least one z_3 for which if z_3 were a doctor, then z_3 is listening to a song. Can we infer the following from them? Answer yes or no: For all z_3, it is not true that z_3 is a doctor if and only if z_3 will listen to a song.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y were a poet, then y is an electrician. For all y, if y were an electrician, then y is a poet. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is a poet if and only if y is an electrician.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z_2 for which if z_2 makes tea, then z_2 is a mechanic. For all z_2, if z_2 were a mechanic, then z_2 is making tea. Can we infer the following from them? Answer yes or no: For all z_2, it is not true that z_2 is a mechanic if and only if z_2 will make tea.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y were a janitor, then y is playing squash. There is at least one y for which if y plays squash, then y is a janitor. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is a janitor if and only if y will play squash.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is a bartender. There is at least one x for which if x were a bartender, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will listen to a song if and only if x is a bartender.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x were a soldier, then x is playing tennis. For all x, if x plays tennis, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will play tennis if and only if x is a soldier.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_2, if z_2 cooks, then z_2 is a bartender. There is at least one z_2 for which if z_2 were a bartender, then z_2 is cooking. Can we infer the following from them? Answer yes or no: For all z_2, it is not true that z_2 will cook if and only if z_2 is a bartender.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were excited, then x is reading a book. There is at least one x for which if x reads a book, then x is excited. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is excited if and only if x will read a book.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x cooks, then x is listening to a song. There is at least one x for which if x listens to a song, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will listen to a song if and only if x will cook.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one u for which if u were a poet, then u is drinking water. For all u, if u drinks water, then u is a poet. Can we infer the following from them? Answer yes or no: For all u, it is not true that u is a poet if and only if u will drink water.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one w for which if w drinks water, then w is a sailor. For all w, if w were a sailor, then w is drinking water. Can we infer the following from them? Answer yes or no: For all w, it is not true that w will drink water if and only if w is a sailor.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y works, then y is a doctor. There is at least one y for which if y were a doctor, then y is working. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is a doctor if and only if y will work.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z, if z takes a plane, then z is cooking. There is at least one z for which if z cooks, then z is taking a plane. Can we infer the following from them? Answer yes or no: For all z, it is not true that z will cook if and only if z will take a plane.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z_2 for which if z_2 were a janitor, then z_2 is a soldier. For all z_2, if z_2 were a soldier, then z_2 is a janitor. Can we infer the following from them? Answer yes or no: For all z_2, it is not true that z_2 is a soldier if and only if z_2 is a janitor.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays a game, then x is rich. There is at least one x for which if x were rich, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is rich if and only if x will play a game.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 were a sailor, then z_3 is playing a game. There is at least one z_3 for which if z_3 plays a game, then z_3 is a sailor. Can we infer the following from them? Answer yes or no: For all z_3, it is not true that z_3 will play a game if and only if z_3 is a sailor.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x makes tea, then x is reading a book. There is at least one x for which if x reads a book, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will make tea if and only if x will read a book.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x reads a book, then x is playing squash. There is at least one x for which if x plays squash, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will read a book if and only if x will play squash.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 drives a car, then z_3 is rich. There is at least one z_3 for which if z_3 were rich, then z_3 is driving a car. Can we infer the following from them? Answer yes or no: For all z_3, it is not true that z_3 is rich if and only if z_3 will drive a car.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one v for which if v plays a game, then v is a musician. For all v, if v were a musician, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, it is not true that v is a musician if and only if v will play a game.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x makes tea, then x is reading a book. There is at least one x for which if x reads a book, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will make tea if and only if x will read a book.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all z_2, if z_2 were a cashier, then z_2 is poor. There is at least one z_2 for which if z_2 were poor, then z_2 is a cashier. Can we infer the following from them? Answer yes or no: For all z_2, it is not true that z_2 is a cashier if and only if z_2 is poor.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, then x is an astronaut. For all x, if x were an astronaut, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will take a plane if and only if x is an astronaut.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x were a lawyer, then x is a janitor. For all x, if x were a janitor, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a janitor if and only if x is a lawyer.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is cooking. There is at least one x for which if x cooks, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will listen to a song if and only if x will cook.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z for which if z listens to a song, then z is a poet. For all z, if z were a poet, then z is listening to a song. Can we infer the following from them? Answer yes or no: For all z, it is not true that z will listen to a song if and only if z is a poet.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x sleeps, then x is working. For all x, if x works, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will work if and only if x will sleep.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y were a scientist, then y is sad. There is at least one y for which if y were sad, then y is a scientist. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is a scientist if and only if y is sad.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all w, if w plays tennis, then w is making tea. There is at least one w for which if w makes tea, then w is playing tennis. Can we infer the following from them? Answer yes or no: For all w, it is not true that w will make tea if and only if w will play tennis.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x were happy, then x is listening to a song. For all x, if x listens to a song, then x is happy. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is happy if and only if x will listen to a song.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x were an office clerk, then x is writing a letter. For all x, if x writes a letter, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will write a letter if and only if x is an office clerk.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z for which if z makes tea, then z is a scientist. For all z, if z were a scientist, then z is making tea. Can we infer the following from them? Answer yes or no: For all z, it is not true that z will make tea if and only if z is a scientist.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x works, then x is playing squash. For all x, if x plays squash, then x is working. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will play squash if and only if x will work.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x drinks water, then x is a musician. For all x, if x were a musician, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will drink water if and only if x is a musician.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all w, if w were a bartender, then w is fast. There is at least one w for which if w were fast, then w is a bartender. Can we infer the following from them? Answer yes or no: For all w, it is not true that w is fast if and only if w is a bartender.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z_3 for which if z_3 were a poet, then z_3 is driving a car. For all z_3, if z_3 drives a car, then z_3 is a poet. Can we infer the following from them? Answer yes or no: For all z_3, it is not true that z_3 is a poet if and only if z_3 will drive a car.",no
predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x drinks water, then x is poor. There is at least one x for which if x were poor, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will drink water if and only if x is poor.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z will not drive a car. For all z, z will drive a car or z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will not play squash.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is a lawyer or z will drink water. There is at least one z for which z is not a lawyer. Can we infer the following from them? Answer yes or no: For all z, z will not drink water.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is not a writer. There is at least one w for which w is a writer or w will go running. Can we infer the following from them? Answer yes or no: For all w, w will not go running.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will make tea or x is a carpenter. There is at least one x for which x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not fast. There is at least one x for which x is fast or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will not play squash. For all x, x will play squash or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a writer. There is at least one x for which x is a writer or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is excited or x is a bartender. There is at least one x for which x is not excited. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a server or x will make tea. There is at least one x for which x is not a server. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z will not climb a mountain. There is at least one z for which z will climb a mountain or z is poor. Can we infer the following from them? Answer yes or no: For all z, z is not poor.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y will not drink water. There is at least one y for which y will drink water or y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z will cook or z will climb a mountain. For all z, z will not cook. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a taxi driver or x is a janitor. There is at least one x for which x is not a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is an artist or x will play a game. For all x, x is not an artist. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one w for which w will take a plane or w will make tea. For all w, w will not take a plane. Can we infer the following from them? Answer yes or no: For all w, w will not make tea.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z will cook or z is a cashier. For all z, z will not cook. Can we infer the following from them? Answer yes or no: For all z, z is not a cashier.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is poor or z will work. There is at least one z for which z is not poor. Can we infer the following from them? Answer yes or no: For all z, z will not work.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not a bartender. For all x, x is a bartender or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not make tea. There is at least one x for which x will make tea or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not a sailor. There is at least one x for which x is a sailor or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not a server. For all x, x is a server or x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will make tea or x is an artist. There is at least one x for which x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not drive a car. There is at least one x for which x will drive a car or x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y is not sad. There is at least one y for which y is sad or y will go running. Can we infer the following from them? Answer yes or no: For all y, y will not go running.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y is not an artist. There is at least one y for which y is an artist or y will climb a mountain. Can we infer the following from them? Answer yes or no: For all y, y will not climb a mountain.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not play squash. There is at least one x for which x will play squash or x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z is not a bartender. For all z, z is a bartender or z will read a book. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z is not a sailor. For all z, z is a sailor or z is excited. Can we infer the following from them? Answer yes or no: For all z, z is not excited.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will play tennis or x is a nurse. There is at least one x for which x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not a nurse.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y will not sleep. There is at least one y for which y will sleep or y will read a book. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will play tennis or x will read a book. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a server or x is a soldier. There is at least one x for which x is not a server. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not fast. For all x, x is fast or x will work. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y will not cook. There is at least one y for which y will cook or y will play tennis. Can we infer the following from them? Answer yes or no: For all y, y will not play tennis.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is a soldier or x will drink water. For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will not listen to a song. For all x, x will listen to a song or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will play a game or x will make tea. There is at least one x for which x will not play a game. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not a mechanic. For all x, x is a mechanic or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will play tennis or x will cook. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is not a police officer. There is at least one z for which z is a police officer or z will make tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not make tea. There is at least one x for which x will make tea or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will not work. There is at least one w for which w will work or w is an artist. Can we infer the following from them? Answer yes or no: For all w, w is not an artist.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not cook. There is at least one x for which x will cook or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all y, y will not play squash. There is at least one y for which y will play squash or y is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is not a bartender.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a scientist or x is bored. There is at least one x for which x is not a scientist. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z will go running or z will climb a mountain. There is at least one z for which z will not go running. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is not a politician. There is at least one w for which w is a politician or w is a scientist. Can we infer the following from them? Answer yes or no: For all w, w is not a scientist.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one y for which y will work or y is a mechanic. For all y, y will not work. Can we infer the following from them? Answer yes or no: For all y, y is not a mechanic.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not curious. For all x, x is curious or x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is not a politician. There is at least one z for which z is a politician or z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is not a taxi driver.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x plays tennis, then x is reading a book. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x is a musician. There is at least one x for which if x were a musician, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u climbs a mountain, then u is bored. For all u, u will climb a mountain. Can we infer the following from them? Answer yes or no: For all u, u is not bored.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y writes a letter, then y is a soldier. There is at least one y for which y will write a letter. Can we infer the following from them? Answer yes or no: For all y, y is not a soldier.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is playing squash. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were a lawyer, then x is writing a letter. There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is rich. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one w for which if w cooks, then w is an astronaut. For all w, w will cook. Can we infer the following from them? Answer yes or no: For all w, w is not an astronaut.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one w_2 for which if w_2 climbs a mountain, then w_2 is making tea. For all w_2, w_2 will climb a mountain. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not make tea.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x is a cashier. For all x, if x were a cashier, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 will cook. There is at least one w_2 for which if w_2 cooks, then w_2 is sleeping. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will not sleep.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u plays squash, then u is playing tennis. For all u, u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will sleep. There is at least one x for which if x sleeps, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were a taxi driver, then x is a carpenter. There is at least one x for which x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will go running. There is at least one x for which if x goes running, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x will play squash. For all x, if x plays squash, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all w, w is a police officer. There is at least one w for which if w were a police officer, then w is drinking water. Can we infer the following from them? Answer yes or no: For all w, w will not drink water.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one y for which y will play tennis. For all y, if y plays tennis, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x will take a plane. For all x, if x takes a plane, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u will listen to a song. There is at least one u for which if u listens to a song, then u is a politician. Can we infer the following from them? Answer yes or no: For all u, u is not a politician.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will make tea. There is at least one x for which if x makes tea, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u is bored. There is at least one u for which if u were bored, then u is playing squash. Can we infer the following from them? Answer yes or no: For all u, u will not play squash.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u goes running, then u is writing a letter. For all u, u will go running. Can we infer the following from them? Answer yes or no: For all u, u will not write a letter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x is an office clerk. For all x, if x were an office clerk, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x will play squash. For all x, if x plays squash, then x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will listen to a song. There is at least one x for which if x listens to a song, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x will climb a mountain. For all x, if x climbs a mountain, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y listens to a song, then y is sad. There is at least one y for which y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y is not sad.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u is a janitor. There is at least one u for which if u were a janitor, then u is a nurse. Can we infer the following from them? Answer yes or no: For all u, u is not a nurse.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x is a musician. For all x, if x were a musician, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one w_2 for which if w_2 makes tea, then w_2 is a nurse. For all w_2, w_2 will make tea. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is not a nurse.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y were a lawyer, then y is an office clerk. There is at least one y for which y is a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is not an office clerk.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u is poor. There is at least one u for which if u were poor, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will not play a game.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were a politician, then x is driving a car. There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is a sailor. There is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is a taxi driver. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x plays a game, then x is working. There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u cooks, then u is a taxi driver. For all u, u will cook. Can we infer the following from them? Answer yes or no: For all u, u is not a taxi driver.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u goes running, then u is writing a letter. For all u, u will go running. Can we infer the following from them? Answer yes or no: For all u, u will not write a letter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were rich, then x is a cashier. There is at least one x for which x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will play tennis. There is at least one x for which if x plays tennis, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u reads a book, then u is listening to a song. For all u, u will read a book. Can we infer the following from them? Answer yes or no: For all u, u will not listen to a song.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x is excited. For all x, if x were excited, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which if x climbs a mountain, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x works, then x is an artist. There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one w for which if w plays a game, then w is sleeping. For all w, w will play a game. Can we infer the following from them? Answer yes or no: For all w, w will not sleep.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u is a cashier. There is at least one u for which if u were a cashier, then u is rich. Can we infer the following from them? Answer yes or no: For all u, u is not rich.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x were a cashier, then x is drinking water. There is at least one x for which x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u will make tea. There is at least one u for which if u makes tea, then u is a politician. Can we infer the following from them? Answer yes or no: For all u, u is not a politician.",no
predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, then x is climbing a mountain. For all x, x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will make tea. For all u_4, if u_4 were poor, then u_4 is not making tea. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is poor.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 is not rich. For all w_3, if w_3 were a musician, then w_3 is rich. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a musician.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, if y were a taxi driver, then y is not running. There is at least one y for which y will go running. Can we infer the following from them? Answer yes or no: For all y, y is a taxi driver.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x were an artist, then x is excited. For all x, x is not excited. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x were excited, then x is a doctor. For all x, x is not a doctor. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will not listen to a song. There is at least one x for which if x were curious, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one y for which y will drink water. For all y, if y climbs a mountain, then y is not drinking water. Can we infer the following from them? Answer yes or no: For all y, y will climb a mountain.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, if y were a politician, then y is not happy. There is at least one y for which y is happy. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x were excited, then x is not making tea. For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x were a musician, then x is a police officer. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will play a game. There is at least one x for which if x plays tennis, then x is not playing a game. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all u, if u were rich, then u is not an office clerk. There is at least one u for which u is an office clerk. Can we infer the following from them? Answer yes or no: For all u, u is rich.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is a musician. There is at least one x for which if x sleeps, then x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x reads a book, then x is climbing a mountain. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will not make tea. There is at least one x for which if x climbs a mountain, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will make tea. There is at least one x for which if x were a poet, then x is not making tea. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all w_4, w_4 is not a taxi driver. There is at least one w_4 for which if w_4 were a poet, then w_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a poet.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x were rich, then x is not writing a letter. There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all z_4, if z_4 drinks water, then z_4 is working. There is at least one z_4 for which z_4 will not work. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will drink water.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all u, if u plays tennis, then u is not an astronaut. There is at least one u for which u is an astronaut. Can we infer the following from them? Answer yes or no: For all u, u will play tennis.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will play tennis. There is at least one x for which if x were a bartender, then x is not playing tennis. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will write a letter. There is at least one x for which if x plays a game, then x is not writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x will not go running. For all x, if x were a lawyer, then x is running. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is a janitor. There is at least one x for which if x drives a car, then x is not a janitor. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one y for which y is fast. For all y, if y were a poet, then y is not fast. Can we infer the following from them? Answer yes or no: For all y, y is a poet.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all u, if u plays a game, then u is reading a book. There is at least one u for which u will not read a book. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x were a cashier, then x is a carpenter. For all x, x is not a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x were a taxi driver, then x is not writing a letter. There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all u, if u listens to a song, then u is not drinking water. There is at least one u for which u will drink water. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one w_2 for which if w_2 were rich, then w_2 is not playing squash. For all w_2, w_2 will play squash. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is rich.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one z_4 for which z_4 will not sleep. For all z_4, if z_4 were a police officer, then z_4 is sleeping. Can we infer the following from them? Answer yes or no: For all z_4, z_4 is a police officer.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x is a police officer. For all x, if x were a lawyer, then x is not a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one y for which y is a taxi driver. For all y, if y plays squash, then y is not a taxi driver. Can we infer the following from them? Answer yes or no: For all y, y will play squash.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, y will make tea. There is at least one y for which if y drives a car, then y is not making tea. Can we infer the following from them? Answer yes or no: For all y, y will drive a car.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one z_4 for which z_4 is not an office clerk. For all z_4, if z_4 drinks water, then z_4 is an office clerk. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will drink water.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is a poet. There is at least one x for which if x drives a car, then x is not a poet. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x is a nurse. For all x, if x were a cashier, then x is not a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, y is a bartender. There is at least one y for which if y were an astronaut, then y is not a bartender. Can we infer the following from them? Answer yes or no: For all y, y is an astronaut.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x drinks water, then x is a scientist. For all x, x is not a scientist. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x will not write a letter. For all x, if x plays a game, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x were an artist, then x is driving a car. There is at least one x for which x will not drive a car. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is not rich. There is at least one x for which x is rich. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one v_2 for which v_2 is not a bartender. For all v_2, if v_2 were an office clerk, then v_2 is a bartender. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is an office clerk.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x were a musician, then x is not playing squash. There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one u for which u will not make tea. For all u, if u listens to a song, then u is making tea. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will not take a plane. There is at least one x for which if x plays squash, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is a janitor. There is at least one x for which if x were a poet, then x is not a janitor. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x goes running, then x is a scientist. There is at least one x for which x is not a scientist. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all z_4, if z_4 drinks water, then z_4 is excited. There is at least one z_4 for which z_4 is not excited. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will drink water.",no
predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all u, if u were rich, then u is cooking. There is at least one u for which u will not cook. Can we infer the following from them? Answer yes or no: For all u, u is rich.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u for which u is curious if and only if u will climb a mountain. For all u, u is not curious. Can we infer the following from them? Answer yes or no: For all u, u will climb a mountain.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will sleep if and only if x will drive a car. For all x, x will not drive a car. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u, u will not listen to a song. There is at least one u for which u will listen to a song if and only if u is an electrician. Can we infer the following from them? Answer yes or no: For all u, u is an electrician.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is poor if and only if x will drive a car. Can we infer the following from them? Answer yes or no: For all x, the fact that x were poor does not imply that x is driving a car.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_2, u_2 is excited if and only if u_2 is sad. There is at least one u_2 for which u_2 is not sad. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is excited.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z for which z is a mechanic if and only if z is an artist. Can we infer the following from them? Answer yes or no: For all z, the fact that z were a mechanic does not imply that z is an artist.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will not cook. There is at least one x for which x is a police officer if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 is not bored. For all y_1, y_1 is bored if and only if y_1 is a poet. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a poet.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is poor if and only if x will work. Can we infer the following from them? Answer yes or no: For all x, the fact that x were poor does not imply that x is working.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u for which u is not sad. For all u, u is poor if and only if u is sad. Can we infer the following from them? Answer yes or no: For all u, u is poor.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is a musician if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a lawyer does not imply that x is a musician.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_3, u_3 is a nurse if and only if u_3 is a bartender. There is at least one u_3 for which u_3 is not a nurse. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is a bartender.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 is not an astronaut. For all z_3, z_3 is a soldier if and only if z_3 is an astronaut. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a soldier.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 is not an astronaut. For all y_1, y_1 will write a letter if and only if y_1 is an astronaut. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will write a letter.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will not play a game. For all x, x will play a game if and only if x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all w_3, w_3 will not work. There is at least one w_3 for which w_3 will climb a mountain if and only if w_3 will work. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will climb a mountain.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z for which z is an astronaut if and only if z is a carpenter. Can we infer the following from them? Answer yes or no: For all z, the fact that z were an astronaut does not imply that z is a carpenter.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all z_3, z_3 will play a game if and only if z_3 will play squash. There is at least one z_3 for which z_3 will not play squash. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will play a game.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will drink water if and only if x will sleep. There is at least one x for which x will not sleep. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will drive a car if and only if x will climb a mountain. There is at least one x for which x will not drive a car. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is not a mechanic. For all x, x will make tea if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is sad if and only if u_4 will sleep. Can we infer the following from them? Answer yes or no: For all u_4, the fact that u_4 sleeps does not imply that u_4 is sad.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x is a nurse if and only if x will listen to a song. There is at least one x for which x will not listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will not write a letter. There is at least one x for which x will cook if and only if x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 is a police officer if and only if w_3 is bored. For all w_3, w_3 is not bored. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a police officer.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x is a lawyer if and only if x will play a game. There is at least one x for which x will not play a game. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is not a cashier. For all x, x is a cashier if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_4, u_4 will climb a mountain if and only if u_4 will play tennis. There is at least one u_4 for which u_4 will not climb a mountain. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play tennis.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 will not drink water. For all y_4, y_4 will drive a car if and only if y_4 will drink water. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will drive a car.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will not play a game. For all x, x will play a game if and only if x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will play squash if and only if u_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_4, the fact that u_4 climbs a mountain does not imply that u_4 is playing squash.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 will go running if and only if u_4 will listen to a song. Can we infer the following from them? Answer yes or no: For all u_4, the fact that u_4 listens to a song does not imply that u_4 is running.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 is an artist if and only if z_3 will play tennis. Can we infer the following from them? Answer yes or no: For all z_3, the fact that z_3 were an artist does not imply that z_3 is playing tennis.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z_1 for which z_1 will take a plane if and only if z_1 is a soldier. Can we infer the following from them? Answer yes or no: For all z_1, the fact that z_1 takes a plane does not imply that z_1 is a soldier.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all y_1, y_1 will go running if and only if y_1 will play a game. There is at least one y_1 for which y_1 will not go running. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will play a game.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is not a doctor. For all x, x will drive a car if and only if x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will not take a plane. For all x, x will go running if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 is a scientist if and only if w_3 is an artist. For all w_3, w_3 is not an artist. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a scientist.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u for which u will not drink water. For all u, u is a writer if and only if u will drink water. Can we infer the following from them? Answer yes or no: For all u, u is a writer.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one y for which y will take a plane if and only if y will cook. Can we infer the following from them? Answer yes or no: For all y, the fact that y cooks does not imply that y is taking a plane.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will make tea if and only if x is a writer. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_3, u_3 is an office clerk if and only if u_3 is poor. There is at least one u_3 for which u_3 is not an office clerk. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is poor.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will read a book if and only if x will work. There is at least one x for which x will not work. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x is not an office clerk. There is at least one x for which x is an office clerk if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will not read a book. For all x, x will drive a car if and only if x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is sad if and only if x is a poet. For all x, x is not a poet. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 will listen to a song if and only if z_3 is a scientist. Can we infer the following from them? Answer yes or no: For all z_3, the fact that z_3 listens to a song does not imply that z_3 is a scientist.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all w_1, w_1 is not curious. There is at least one w_1 for which w_1 will listen to a song if and only if w_1 is curious. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will listen to a song.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is curious if and only if u_4 is a soldier. Can we infer the following from them? Answer yes or no: For all u_4, the fact that u_4 were a soldier does not imply that u_4 is curious.",no
predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 will work if and only if w_3 is excited. For all w_3, w_3 is not excited. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will work.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will sleep or x will play tennis. There is at least one x for which x will not sleep or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis nor x will cook.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w_2, w_2 is fast or w_2 will drink water. There is at least one w_2 for which w_2 is not fast or w_2 is a politician. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will drink water nor w_2 is a politician.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y is not a doctor or y is a bartender. For all y, y is a doctor or y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, neither y will listen to a song nor y is a bartender.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 is not poor or w_2 is a nurse. For all w_2, w_2 is poor or w_2 will climb a mountain. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will climb a mountain nor w_2 is a nurse.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not play squash or x will take a plane. There is at least one x for which x will play squash or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, neither x is a taxi driver nor x will take a plane.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y is not a server or y is a politician. For all y, y is a server or y will write a letter. Can we infer the following from them? Answer yes or no: For all y, neither y will write a letter nor y is a politician.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y_4, y_4 will read a book or y_4 will sleep. There is at least one y_4 for which y_4 will not read a book or y_4 will work. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 will sleep nor y_4 will work.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y, y will read a book or y is a mechanic. There is at least one y for which y will not read a book or y is a writer. Can we infer the following from them? Answer yes or no: For all y, neither y is a mechanic nor y is a writer.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 is not curious or y_4 is a doctor. For all y_4, y_4 is curious or y_4 is a sailor. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 is a sailor nor y_4 is a doctor.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not play tennis or x is happy. There is at least one x for which x will play tennis or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x will cook nor x is happy.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will go running or x is a nurse. There is at least one x for which x will not go running or x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x is a nurse nor x will make tea.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w_2, w_2 is a nurse or w_2 will go running. There is at least one w_2 for which w_2 is not a nurse or w_2 will cook. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will go running nor w_2 will cook.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not read a book or x is sad. There is at least one x for which x will read a book or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, neither x is a lawyer nor x is sad.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not drink water or x will play tennis. For all x, x will drink water or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x will drive a car nor x will play tennis.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will read a book or x will take a plane. There is at least one x for which x will not read a book or x will play a game. Can we infer the following from them? Answer yes or no: For all x, neither x will take a plane nor x will play a game.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 will not make tea or y_4 will write a letter. For all y_4, y_4 will make tea or y_4 will drive a car. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 will drive a car nor y_4 will write a letter.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y is not a soldier or y will listen to a song. For all y, y is a soldier or y will cook. Can we infer the following from them? Answer yes or no: For all y, neither y will cook nor y will listen to a song.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not a doctor or x will read a book. For all x, x is a doctor or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis nor x will read a book.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z is a taxi driver or z will climb a mountain. There is at least one z for which z is not a taxi driver or z is bored. Can we infer the following from them? Answer yes or no: For all z, neither z will climb a mountain nor z is bored.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not work or x is sad. There is at least one x for which x will work or x is bored. Can we infer the following from them? Answer yes or no: For all x, neither x is bored nor x is sad.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not curious or x will cook. For all x, x is curious or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, neither x is a scientist nor x will cook.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y_4, y_4 will write a letter or y_4 will go running. There is at least one y_4 for which y_4 will not write a letter or y_4 will make tea. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 will go running nor y_4 will make tea.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is an office clerk or x will climb a mountain. There is at least one x for which x is not an office clerk or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will climb a mountain nor x will sleep.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is curious or x will go running. There is at least one x for which x is not curious or x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will go running nor x will play squash.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not play squash or x will cook. For all x, x will play squash or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis nor x will cook.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will make tea or x will drink water. There is at least one x for which x will not make tea or x will work. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water nor x will work.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w_2, w_2 is a poet or w_2 will take a plane. There is at least one w_2 for which w_2 is not a poet or w_2 is a doctor. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will take a plane nor w_2 is a doctor.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is happy or x will work. There is at least one x for which x is not happy or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, neither x will work nor x will take a plane.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will read a book or x will write a letter. For all x, x will not read a book or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x will write a letter nor x will cook.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y_4, y_4 will cook or y_4 will take a plane. There is at least one y_4 for which y_4 will not cook or y_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 will take a plane nor y_4 will climb a mountain.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one z for which z is not a cashier or z will sleep. For all z, z is a cashier or z is happy. Can we infer the following from them? Answer yes or no: For all z, neither z is happy nor z will sleep.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z is a taxi driver or z will play squash. There is at least one z for which z is not a taxi driver or z will make tea. Can we infer the following from them? Answer yes or no: For all z, neither z will play squash nor z will make tea.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not take a plane or x is a scientist. For all x, x will take a plane or x will cook. Can we infer the following from them? Answer yes or no: For all x, neither x will cook nor x is a scientist.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is a scientist or x will listen to a song. There is at least one x for which x is not a scientist or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song nor x will write a letter.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not sleep or x is a nurse. There is at least one x for which x will sleep or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x will drive a car nor x is a nurse.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one z for which z is not fast or z is happy. For all z, z is fast or z will play a game. Can we infer the following from them? Answer yes or no: For all z, neither z will play a game nor z is happy.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not a poet or x is a scientist. For all x, x is a poet or x is happy. Can we infer the following from them? Answer yes or no: For all x, neither x is happy nor x is a scientist.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will drive a car or x will listen to a song. There is at least one x for which x will not drive a car or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song nor x is a lawyer.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not an astronaut or x is a soldier. For all x, x is an astronaut or x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash nor x is a soldier.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is not a lawyer or x is rich. There is at least one x for which x is a lawyer or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, neither x is a scientist nor x is rich.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not climb a mountain or x is bored. For all x, x will climb a mountain or x is excited. Can we infer the following from them? Answer yes or no: For all x, neither x is excited nor x is bored.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not a nurse or x is a janitor. For all x, x is a nurse or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis nor x is a janitor.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w_2, w_2 is a mechanic or w_2 will play tennis. There is at least one w_2 for which w_2 is not a mechanic or w_2 will drive a car. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will play tennis nor w_2 will drive a car.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z will drink water or z will climb a mountain. There is at least one z for which z will not drink water or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, neither z will climb a mountain nor z will write a letter.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not listen to a song or x will drive a car. For all x, x will listen to a song or x is poor. Can we infer the following from them? Answer yes or no: For all x, neither x is poor nor x will drive a car.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z is a politician or z is an electrician. There is at least one z for which z is not a politician or z is a soldier. Can we infer the following from them? Answer yes or no: For all z, neither z is an electrician nor z is a soldier.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not play tennis or x will sleep. There is at least one x for which x will play tennis or x is rich. Can we infer the following from them? Answer yes or no: For all x, neither x is rich nor x will sleep.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is not bored or x will drive a car. There is at least one x for which x is bored or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, neither x is a police officer nor x will drive a car.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is a sailor or x is a lawyer. For all x, x is not a sailor or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, neither x is a lawyer nor x is an office clerk.",no
predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w_2, w_2 is poor or w_2 will drink water. There is at least one w_2 for which w_2 is not poor or w_2 is a soldier. Can we infer the following from them? Answer yes or no: For all w_2, neither w_2 will drink water nor w_2 is a soldier.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, u_4 will make tea. For all u_4, if u_4 makes tea, then u_4 is cooking. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not cook.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is poor. For all x, if x were poor, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 were an astronaut, then u_4 is a carpenter. For all u_4, u_4 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is not a carpenter.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w, w will play tennis. For all w, if w plays tennis, then w is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a taxi driver.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x cooks, then x is an electrician. For all x, x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 is a lawyer. For all w_2, if w_2 were a lawyer, then w_2 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not play tennis.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is happy. For all x, if x were happy, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 were a writer, then u_4 is running. For all u_4, u_4 is a writer. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not go running.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 were an electrician, then w_2 is driving a car. For all w_2, w_2 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not drive a car.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 goes running, then w_2 is writing a letter. For all w_2, w_2 will go running. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not write a letter.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will play a game. For all x, if x plays a game, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 were a police officer, then w_2 is playing tennis. For all w_2, w_2 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not play tennis.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w, if w climbs a mountain, then w is a police officer. For all w, w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a police officer.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is excited. For all x, if x were excited, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will drink water. For all x, if x drinks water, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 will sleep. For all w_2, if w_2 sleeps, then w_2 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not an electrician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a scientist. For all x, if x were a scientist, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an office clerk.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 is curious. For all w_2, if w_2 were curious, then w_2 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not drive a car.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 drives a car, then u_4 is reading a book. For all u_4, u_4 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not read a book.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x drives a car, then x is a janitor. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will climb a mountain. For all x, if x climbs a mountain, then x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a nurse. For all x, if x were a nurse, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 writes a letter, then w_2 is playing squash. For all w_2, w_2 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not play squash.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were sad, then x is an electrician. For all x, x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x works, then x is a sailor. For all x, x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will play squash. For all x, if x plays squash, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 takes a plane, then u_4 is climbing a mountain. For all u_4, u_4 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not climb a mountain.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will play tennis. For all x, if x plays tennis, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a sailor. For all x, if x were a sailor, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a lawyer. For all x, if x were a lawyer, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 will play tennis. For all w_2, if w_2 plays tennis, then w_2 is a musician. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a musician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will sleep. For all x, if x sleeps, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will drink water. For all x, if x drinks water, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not write a letter.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 were curious, then w_2 is climbing a mountain. For all w_2, w_2 is curious. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not climb a mountain.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were a nurse, then x is working. For all x, x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 goes running, then u_4 is a writer. For all u_4, u_4 will go running. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is not a writer.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will drive a car. For all x, if x drives a car, then x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a cashier. For all x, if x were a cashier, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w, if w were a sailor, then w is reading a book. For all w, w is a sailor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not read a book.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will go running. For all x, if x goes running, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is a mechanic. For all x, if x were a mechanic, then x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a poet.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 were sad, then u_4 is a soldier. For all u_4, u_4 is sad. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is not a soldier.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will play a game. For all x, if x plays a game, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, if w_2 plays tennis, then w_2 is taking a plane. For all w_2, w_2 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will not take a plane.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, u_4 is a cashier. For all u_4, if u_4 were a cashier, then u_4 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is not a taxi driver.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w_2, w_2 is a poet. For all w_2, if w_2 were a poet, then w_2 is a musician. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a musician.",no
predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were a carpenter, then x is rich. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play a game nor x will play tennis.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is rich nor x will climb a mountain.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a lawyer nor x will drink water.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car nor x is a scientist.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a nurse nor w will sleep.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will play squash nor u will work.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drink water nor x is curious.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a cashier nor x will write a letter.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is curious. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is curious nor w will cook.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is rich nor x will drink water.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play squash nor x is a politician.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u is an artist. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is an artist nor u is an office clerk.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will read a book nor x is a cashier.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will make tea nor x is excited.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is an astronaut nor w will cook.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a scientist nor u is a police officer.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is curious nor x will play a game.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play squash nor x is curious.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u is a police officer. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a police officer nor u will cook.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will play squash nor u will drive a car.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play tennis nor x is a poet.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a bartender nor x is excited.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will go running nor x is a mechanic.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will work nor x is an electrician.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a janitor nor w is happy.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will take a plane nor u is a doctor.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all y, y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will take a plane nor y is a nurse.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all y, y is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y is a cashier nor y will make tea.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a taxi driver nor u will play a game.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a soldier nor x will sleep.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will take a plane nor x will climb a mountain.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will listen to a song nor x is a janitor.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will climb a mountain nor x is happy.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will make tea nor x will work.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a mechanic nor x is happy.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will climb a mountain nor x is a sailor.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all y, y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will take a plane nor y is an artist.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car nor x will cook.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a scientist nor x is a server.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u is a poet. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is a poet nor u will read a book.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will listen to a song nor x is a poet.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a politician nor x will read a book.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a nurse nor x will drink water.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is rich nor w is curious.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will work. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will work nor u is an electrician.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all y, y is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y is a mechanic nor y will take a plane.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all w, w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is an artist nor w will drink water.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will take a plane nor x is a police officer.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will cook. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will cook nor u is a server.",no
predicate,inference,universal addition,contradiction,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play a game nor x will go running.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is a doctor. Can we infer the following from them? Answer yes or no: For all v, neither v is a doctor nor v will read a book.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is a doctor. Can we infer the following from them? Answer yes or no: For all v, neither v is a doctor nor v will work.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash nor x will work.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will sleep nor x will cook.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 will play a game. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 will play a game nor v_4 will take a plane.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 is a janitor. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 is a janitor nor v_4 is a police officer.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, neither x is a lawyer nor x is a doctor.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: For all x, neither x will go running nor x will listen to a song.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: For all x, neither x will play tennis nor x is fast.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea nor x is a server.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is sad. Can we infer the following from them? Answer yes or no: For all x, neither x is sad nor x will read a book.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 is a nurse. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 is a nurse nor v_4 will work.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is an electrician. Can we infer the following from them? Answer yes or no: For all v, neither v is an electrician nor v will write a letter.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 will cook. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 will cook nor v_4 will make tea.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a sailor. Can we infer the following from them? Answer yes or no: For all x, neither x is a sailor nor x will play a game.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x is a server nor x will make tea.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash nor x is an electrician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a janitor. Can we infer the following from them? Answer yes or no: For all x, neither x is a janitor nor x is an electrician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a poet. Can we infer the following from them? Answer yes or no: For all x, neither x is a poet nor x will cook.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: For all x, neither x will read a book nor x is a sailor.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is a mechanic. Can we infer the following from them? Answer yes or no: For all v, neither v is a mechanic nor v is an artist.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: For all x, neither x will read a book nor x is an artist.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, neither x is a mechanic nor x will drive a car.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x is fast nor x will play a game.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is sad. Can we infer the following from them? Answer yes or no: For all v, neither v is sad nor v is a mechanic.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: For all x, neither x will read a book nor x is a nurse.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song nor x is a musician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a soldier. Can we infer the following from them? Answer yes or no: For all x, neither x is a soldier nor x is a bartender.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v will make tea. Can we infer the following from them? Answer yes or no: For all v, neither v will make tea nor v will play tennis.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: For all x, neither x will go running nor x is a doctor.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x will drive a car nor x is poor.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x will sleep nor x is a poet.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: For all x, neither x will play a game nor x will work.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: For all x, neither x will work nor x will climb a mountain.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a cashier. Can we infer the following from them? Answer yes or no: For all x, neither x is a cashier nor x will play tennis.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, neither x will write a letter nor x will sleep.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: For all x, neither x is a server nor x is an electrician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water nor x is an office clerk.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v will play a game. Can we infer the following from them? Answer yes or no: For all v, neither v will play a game nor v is an office clerk.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 is bored. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 is bored nor v_4 is poor.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea nor x is a carpenter.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: For all x, neither x will write a letter nor x is an electrician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a bartender. Can we infer the following from them? Answer yes or no: For all x, neither x is a bartender nor x will drink water.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash nor x will read a book.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash nor x is a musician.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v will make tea. Can we infer the following from them? Answer yes or no: For all v, neither v will make tea nor v will climb a mountain.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 is excited. Can we infer the following from them? Answer yes or no: For all v_4, neither v_4 is excited nor v_4 will sleep.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, neither x is a carpenter nor x will go running.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one x for which x is a sailor. Can we infer the following from them? Answer yes or no: For all x, neither x is a sailor nor x is bored.",no
predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v will drive a car. Can we infer the following from them? Answer yes or no: For all v, neither v will drive a car nor v will cook.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will sleep or x is a janitor. For all x, x will not sleep or x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a janitor nor x is a police officer.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will not sleep or w will make tea. For all w, w will sleep or w is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is an electrician nor w will make tea.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not play squash or x is an artist. For all x, x will play squash or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play tennis nor x is an artist.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is rich or x is a sailor. For all x, x is not rich or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a sailor nor x is excited.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will go running or x is a writer. For all x, x will not go running or x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a writer nor x is curious.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is curious or x will read a book. For all x, x is not curious or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will read a book nor x will climb a mountain.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will write a letter or x will listen to a song. For all x, x will not write a letter or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will listen to a song nor x will drive a car.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will drive a car or x is curious. For all x, x will not drive a car or x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is curious nor x is a doctor.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will write a letter or w will go running. For all w, w will not write a letter or w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w will go running nor w will climb a mountain.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a police officer or x will sleep. For all x, x is not a police officer or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep nor x is excited.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a police officer or x will work. For all x, x is not a police officer or x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will work nor x is sad.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is bored or x is a doctor. For all x, x is not bored or x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a doctor nor x is rich.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not a nurse or x is a doctor. For all x, x is a nurse or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play a game nor x is a doctor.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a writer or x is a mechanic. For all x, x is not a writer or x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a mechanic nor x is an electrician.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all y_1, y_1 will drive a car or y_1 is a soldier. For all y_1, y_1 will not drive a car or y_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which neither y_1 is a soldier nor y_1 will take a plane.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not work or x will play squash. For all x, x will work or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will go running nor x will play squash.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not bored or x will work. For all x, x is bored or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play a game nor x will work.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will listen to a song or x will sleep. For all x, x will not listen to a song or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep nor x will read a book.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will play tennis or x is curious. For all x, x will not play tennis or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is curious nor x is fast.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will not write a letter or w will go running. For all w, w will write a letter or w is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a doctor nor w will go running.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a janitor or x is a bartender. For all x, x is not a janitor or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a bartender nor x is a scientist.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not a politician or x will play a game. For all x, x is a politician or x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will take a plane nor x will play a game.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w is curious or w will work. For all w, w is not curious or w is a police officer. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w will work nor w is a police officer.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w is an electrician or w is a politician. For all w, w is not an electrician or w will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a politician nor w will take a plane.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will write a letter or x will drink water. For all x, x will not write a letter or x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drink water nor x will cook.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will drink water or x will play tennis. For all x, x will not drink water or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play tennis nor x is fast.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all y_1, y_1 is not a nurse or y_1 will play a game. For all y_1, y_1 is a nurse or y_1 will drink water. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which neither y_1 will drink water nor y_1 will play a game.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will listen to a song or w is a bartender. For all w, w will not listen to a song or w is bored. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a bartender nor w is bored.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a carpenter or x will go running. For all x, x is not a carpenter or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will go running nor x will drink water.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will play tennis or x will play squash. For all x, x will not play tennis or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will play squash nor x is a bartender.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will play tennis or w is a writer. For all w, w will not play tennis or w will play squash. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a writer nor w will play squash.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a soldier or x is a janitor. For all x, x is not a soldier or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a janitor nor x is happy.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not take a plane or x will write a letter. For all x, x will take a plane or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drive a car nor x will write a letter.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all y_1, y_1 will not sleep or y_1 will cook. For all y_1, y_1 will sleep or y_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which neither y_1 will take a plane nor y_1 will cook.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a bartender or x is a scientist. For all x, x is not a bartender or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a scientist nor x is an astronaut.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will not drink water or w is a poet. For all w, w will drink water or w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w will make tea nor w is a poet.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not cook or x is an artist. For all x, x will cook or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will sleep nor x is an artist.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w is not rich or w is an office clerk. For all w, w is rich or w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w will climb a mountain nor w is an office clerk.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all y_1, y_1 will cook or y_1 will read a book. For all y_1, y_1 will not cook or y_1 will work. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which neither y_1 will read a book nor y_1 will work.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w is not a sailor or w is fast. For all w, w is a sailor or w is curious. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is curious nor w is fast.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a scientist or x is curious. For all x, x is not a scientist or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is curious nor x will sleep.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all y_1, y_1 will not work or y_1 is a cashier. For all y_1, y_1 will work or y_1 is happy. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which neither y_1 is happy nor y_1 is a cashier.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drive a car or x is a poet. For all x, x will drive a car or x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is curious nor x is a poet.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all w, w will not go running or w will make tea. For all w, w will go running or w will write a letter. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w will write a letter nor w will make tea.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will play tennis or x is a police officer. For all x, x will not play tennis or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a police officer nor x will play a game.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will make tea or x is a cashier. For all x, x will not make tea or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is a cashier nor x will sleep.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drink water or x will work. For all x, x will drink water or x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is an astronaut nor x will work.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not a carpenter or x is fast. For all x, x is a carpenter or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will drink water nor x is fast.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not a sailor or x will cook. For all x, x is a sailor or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x will go running nor x will cook.",no
predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not make tea or x is a taxi driver. For all x, x will make tea or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is an artist nor x is a taxi driver.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: V_4 is an artist. Can we infer the following from them? Answer yes or no: For all w, w is not an artist.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is excited. Can we infer the following from them? Answer yes or no: For all y, y is not excited.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: V_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a mechanic.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is making tea. Can we infer the following from them? Answer yes or no: For all y, y will not make tea.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is a cashier. Can we infer the following from them? Answer yes or no: For all y, y is not a cashier.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is drinking water. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is happy. Can we infer the following from them? Answer yes or no: For all v, v is not happy.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a doctor.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Z is happy. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not happy.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is a writer. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is not a writer.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not take a plane.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Z is drinking water. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not drink water.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is listening to a song. Can we infer the following from them? Answer yes or no: For all y, y will not listen to a song.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is bored. Can we infer the following from them? Answer yes or no: For all y, y is not bored.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, y is not a taxi driver.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: Z is a doctor. Can we infer the following from them? Answer yes or no: For all y, y is not a doctor.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is a writer. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a writer.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is cooking. Can we infer the following from them? Answer yes or no: For all y, y will not cook.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is playing tennis. Can we infer the following from them? Answer yes or no: For all y, y will not play tennis.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: Y_1 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will not sleep.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is not a lawyer.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: Y_1 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is not a taxi driver.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, y will not climb a mountain.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: Z is an astronaut. Can we infer the following from them? Answer yes or no: For all y, y is not an astronaut.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is drinking water. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is a nurse. Can we infer the following from them? Answer yes or no: For all y, y is not a nurse.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: U_4 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a janitor.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Y_1 is running. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will not go running.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: Z is playing a game. Can we infer the following from them? Answer yes or no: For all y, y will not play a game.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is happy. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not happy.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is sleeping. Can we infer the following from them? Answer yes or no: For all y, y will not sleep.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is reading a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not read a book.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: V_4 is bored. Can we infer the following from them? Answer yes or no: For all w, w is not bored.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: Z is happy. Can we infer the following from them? Answer yes or no: For all y, y is not happy.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is a scientist. Can we infer the following from them? Answer yes or no: For all u, u is not a scientist.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: V_3 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a scientist.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Y_1 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will not play squash.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is listening to a song. Can we infer the following from them? Answer yes or no: For all y, y will not listen to a song.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is a writer. Can we infer the following from them? Answer yes or no: For all v, v is not a writer.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: V_4 is driving a car. Can we infer the following from them? Answer yes or no: For all w, w will not drive a car.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is drinking water. Can we infer the following from them? Answer yes or no: For all v, v will not drink water.",no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is excited. Can we infer the following from them? Answer yes or no: For all v, v is not excited.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: V_3 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not write a letter.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: U is curious. Can we infer the following from them? Answer yes or no: For all y, y is not curious.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is reading a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not read a book.,no
predicate,inference,universal generalization,contradiction,"Consider the following premises: X is driving a car. Can we infer the following from them? Answer yes or no: For all y, y will not drive a car.",no
predicate,inference,universal generalization,contradiction,Consider the following premises: Z is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is not an office clerk.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Z is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will not listen to a song.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: X is driving a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not drive a car.,no
predicate,inference,universal generalization,contradiction,Consider the following premises: Z is making tea. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not make tea.,no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all w, if w were an office clerk, then w is playing a game. There is at least one w for which if w were a scientist, then w is playing a game. For all w, w is a scientist or w is an office clerk. Can we infer the following from them? Answer yes or no: For all w, w will not play a game.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one u_4 for which u_4 is bored or u_4 will sleep. For all u_4, if u_4 were bored, then u_4 is reading a book. For all u_4, if u_4 sleeps, then u_4 is reading a book. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not read a book.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x were a nurse, then x is an office clerk. For all x, x is a doctor or x is a nurse. For all x, if x were a doctor, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, z is a cashier or z is a nurse. For all z, if z were a nurse, then z is driving a car. There is at least one z for which if z were a cashier, then z is driving a car. Can we infer the following from them? Answer yes or no: For all z, z will not drive a car.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, u is curious or u is a nurse. There is at least one u for which if u were curious, then u is listening to a song. For all u, if u were a nurse, then u is listening to a song. Can we infer the following from them? Answer yes or no: For all u, u will not listen to a song.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will play squash or x is rich. There is at least one x for which if x plays squash, then x is a poet. For all x, if x were rich, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is not a poet.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x takes a plane, then x is playing a game. For all x, if x reads a book, then x is playing a game. There is at least one x for which x will read a book or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will make tea or x will read a book. For all x, if x reads a book, then x is a mechanic. There is at least one x for which if x makes tea, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will play squash or x will write a letter. There is at least one x for which if x plays squash, then x is reading a book. For all x, if x writes a letter, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z were a poet, then z is a doctor. There is at least one z for which z is a poet or z is a server. For all z, if z were a server, then z is a doctor. Can we infer the following from them? Answer yes or no: For all z, z is not a doctor.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, u is a taxi driver or u will go running. There is at least one u for which if u goes running, then u is working. For all u, if u were a taxi driver, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will not work.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a police officer, then x is a sailor. There is at least one x for which x is a police officer or x is a carpenter. For all x, if x were a carpenter, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one u for which if u listens to a song, then u is climbing a mountain. For all u, u will cook or u will listen to a song. For all u, if u cooks, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u, u will not climb a mountain.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all y, if y were a cashier, then y is a nurse. There is at least one y for which if y were a doctor, then y is a nurse. For all y, y is a doctor or y is a cashier. Can we infer the following from them? Answer yes or no: For all y, y is not a nurse.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u were poor, then u is a mechanic. There is at least one u for which u is a musician or u is poor. For all u, if u were a musician, then u is a mechanic. Can we infer the following from them? Answer yes or no: For all u, u is not a mechanic.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one w for which if w were curious, then w is bored. For all w, w is curious or w will read a book. For all w, if w reads a book, then w is bored. Can we infer the following from them? Answer yes or no: For all w, w is not bored.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one u for which if u were fast, then u is climbing a mountain. For all u, u is a taxi driver or u is fast. For all u, if u were a taxi driver, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u, u will not climb a mountain.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u were a writer, then u is writing a letter. There is at least one u for which if u cooks, then u is writing a letter. For all u, u will cook or u is a writer. Can we infer the following from them? Answer yes or no: For all u, u will not write a letter.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all y, y will make tea or y is curious. For all y, if y were curious, then y is working. There is at least one y for which if y makes tea, then y is working. Can we infer the following from them? Answer yes or no: For all y, y will not work.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is a carpenter. For all x, if x were an electrician, then x is a carpenter. There is at least one x for which x is a scientist or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x cooks, then x is a poet. There is at least one x for which if x were an astronaut, then x is a poet. For all x, x is an astronaut or x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not a poet.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is a sailor. There is at least one x for which if x makes tea, then x is a sailor. For all x, x will write a letter or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z takes a plane, then z is playing a game. There is at least one z for which if z listens to a song, then z is playing a game. For all z, z will listen to a song or z will take a plane. Can we infer the following from them? Answer yes or no: For all z, z will not play a game.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x works, then x is rich. For all x, x will make tea or x will work. For all x, if x makes tea, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u makes tea, then u is playing a game. There is at least one u for which u will make tea or u will work. For all u, if u works, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will not play a game.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x were sad, then x is a soldier. For all x, if x were a janitor, then x is a soldier. For all x, x is a janitor or x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a police officer, then x is running. There is at least one x for which x is a police officer or x is poor. For all x, if x were poor, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which x will make tea or x will play a game. For all x, if x plays a game, then x is fast. For all x, if x makes tea, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x sleeps, then x is fast. For all x, if x reads a book, then x is fast. For all x, x will read a book or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one u for which if u were an artist, then u is sleeping. For all u, u is an artist or u is a police officer. For all u, if u were a police officer, then u is sleeping. Can we infer the following from them? Answer yes or no: For all u, u will not sleep.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x reads a book, then x is climbing a mountain. For all x, x will sleep or x will read a book. For all x, if x sleeps, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x plays a game, then x is a sailor. For all x, x will play a game or x will drive a car. There is at least one x for which if x drives a car, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x drinks water, then x is rich. For all x, x will drink water or x is a writer. For all x, if x were a writer, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will drive a car or x will sleep. There is at least one x for which if x sleeps, then x is taking a plane. For all x, if x drives a car, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u_4, if u_4 were a musician, then u_4 is sleeping. There is at least one u_4 for which u_4 is an astronaut or u_4 is a musician. For all u_4, if u_4 were an astronaut, then u_4 is sleeping. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not sleep.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one y for which if y makes tea, then y is a nurse. For all y, if y plays a game, then y is a nurse. For all y, y will make tea or y will play a game. Can we infer the following from them? Answer yes or no: For all y, y is not a nurse.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is cooking. For all x, x will play tennis or x is an astronaut. There is at least one x for which if x were an astronaut, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x cooks, then x is a soldier. There is at least one x for which x will cook or x is an artist. For all x, if x were an artist, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z were a soldier, then z is fast. For all z, if z were a musician, then z is fast. There is at least one z for which z is a soldier or z is a musician. Can we infer the following from them? Answer yes or no: For all z, z is not fast.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, u is a carpenter or u is fast. There is at least one u for which if u were a carpenter, then u is a politician. For all u, if u were fast, then u is a politician. Can we infer the following from them? Answer yes or no: For all u, u is not a politician.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x writes a letter, then x is excited. There is at least one x for which if x plays tennis, then x is excited. For all x, x will play tennis or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z sleeps, then z is a carpenter. There is at least one z for which z is rich or z will sleep. For all z, if z were rich, then z is a carpenter. Can we infer the following from them? Answer yes or no: For all z, z is not a carpenter.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x sleeps, then x is happy. There is at least one x for which x will sleep or x will drive a car. For all x, if x drives a car, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x is an office clerk or x will sleep. There is at least one x for which if x sleeps, then x is taking a plane. For all x, if x were an office clerk, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u works, then u is happy. For all u, if u were a nurse, then u is happy. There is at least one u for which u is a nurse or u will work. Can we infer the following from them? Answer yes or no: For all u, u is not happy.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a taxi driver, then x is a doctor. There is at least one x for which if x climbs a mountain, then x is a doctor. For all x, x will climb a mountain or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x goes running, then x is playing a game. For all x, x is a doctor or x will go running. There is at least one x for which if x were a doctor, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will sleep or x will make tea. There is at least one x for which if x makes tea, then x is listening to a song. For all x, if x sleeps, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x were a soldier, then x is listening to a song. For all x, if x were fast, then x is listening to a song. For all x, x is a soldier or x is fast. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u were a lawyer, then u is bored. For all u, if u were a server, then u is bored. There is at least one u for which u is a server or u is a lawyer. Can we infer the following from them? Answer yes or no: For all u, u is not bored.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u is an artist. Can we infer the following from them? Answer yes or no: Robert is not drinking water.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u is a writer. Can we infer the following from them? Answer yes or no: Barbara is not a musician.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_2, w_2 will write a letter. Can we infer the following from them? Answer yes or no: Karen is driving a car.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u_3, u_3 is an electrician. Can we infer the following from them? Answer yes or no: James is not cooking.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: X is a cashier.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will cook. Can we infer the following from them? Answer yes or no: William is not happy.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is curious. Can we infer the following from them? Answer yes or no: Karen is sleeping.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u is a server. Can we infer the following from them? Answer yes or no: Jessica is not a musician.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will play tennis. Can we infer the following from them? Answer yes or no: Linda is not a server.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all y_1, y_1 will listen to a song. Can we infer the following from them? Answer yes or no: Barbara is a soldier.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: Jessica is not a mechanic.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v will sleep. Can we infer the following from them? Answer yes or no: Elisabeth is not a mechanic.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a sailor. Can we infer the following from them? Answer yes or no: Thomas is taking a plane.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u is a sailor. Can we infer the following from them? Answer yes or no: Patricia is not climbing a mountain.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 is a lawyer. Can we infer the following from them? Answer yes or no: Robert is not a politician.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a poet. Can we infer the following from them? Answer yes or no: Jessica is playing squash.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is a bartender. Can we infer the following from them? Answer yes or no: Linda is a nurse.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is a writer. Can we infer the following from them? Answer yes or no: Karen is not writing a letter.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is a writer. Can we infer the following from them? Answer yes or no: Mary is not a cashier.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u_3, u_3 will make tea. Can we infer the following from them? Answer yes or no: Barbara is not listening to a song.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_2, w_2 will climb a mountain. Can we infer the following from them? Answer yes or no: David is sleeping.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will go running. Can we infer the following from them? Answer yes or no: Jennifer is not playing tennis.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w, w will read a book. Can we infer the following from them? Answer yes or no: Jennifer is not sleeping.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u_3, u_3 is fast. Can we infer the following from them? Answer yes or no: Charles is not cooking.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: Robert is not playing squash.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w, w will climb a mountain. Can we infer the following from them? Answer yes or no: Barbara is a server.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 is an electrician. Can we infer the following from them? Answer yes or no: Richard is not driving a car.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: Charles is happy.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 will go running. Can we infer the following from them? Answer yes or no: James is not driving a car.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 is curious. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is an electrician. Can we infer the following from them? Answer yes or no: V is sleeping.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is a politician. Can we infer the following from them? Answer yes or no: V is a bartender.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will cook. Can we infer the following from them? Answer yes or no: Karen is not working.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 will play a game. Can we infer the following from them? Answer yes or no: Susan is poor.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: X is an astronaut.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a scientist. Can we infer the following from them? Answer yes or no: Charles is fast.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will play a game. Can we infer the following from them? Answer yes or no: X is a scientist.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v will make tea. Can we infer the following from them? Answer yes or no: Robert is not playing a game.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will drink water. Can we infer the following from them? Answer yes or no: Jessica is not running.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_2, w_2 is excited. Can we infer the following from them? Answer yes or no: David is not poor.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a writer. Can we infer the following from them? Answer yes or no: William is not playing squash.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: Charles is poor.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is a bartender. Can we infer the following from them? Answer yes or no: V is a mechanic.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_2, w_2 is happy. Can we infer the following from them? Answer yes or no: Sarah is taking a plane.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all y_1, y_1 is a cashier. Can we infer the following from them? Answer yes or no: Patricia is not an electrician.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_2, w_2 will sleep. Can we infer the following from them? Answer yes or no: Barbara is not a musician.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v will drink water. Can we infer the following from them? Answer yes or no: Barbara is fast.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_1, w_1 is a bartender. Can we infer the following from them? Answer yes or no: Mary is a nurse.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u_1, u_1 will climb a mountain. Can we infer the following from them? Answer yes or no: Mary is not listening to a song.",no
predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w, w is excited. Can we infer the following from them? Answer yes or no: Elisabeth is not a bartender.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will not cook. For all x, x will make tea if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all u_4, u_4 is a server if and only if u_4 will make tea. For all u_4, u_4 is not a server. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will sleep.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 will not sleep. For all x_3, x_3 is a carpenter if and only if x_3 will sleep. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is not a sailor.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all u_3, u_3 will go running if and only if u_3 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is excited.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will go running if and only if x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a sailor if and only if x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all w, w is fast if and only if w is a nurse. Can we infer the following from them? Answer yes or no: For all w, w is not an artist.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y_4, y_4 will not go running. For all y_4, y_4 will work if and only if y_4 will go running. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a politician.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y_4, y_4 is not fast. For all y_4, y_4 will climb a mountain if and only if y_4 is fast. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will not cook.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not a poet. For all x, x is a poet if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will play a game if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a taxi driver if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will not cook. For all x, x will cook if and only if x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x will drink water. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will make tea if and only if x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a taxi driver if and only if x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is an artist if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will drive a car if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will cook if and only if x will drink water. For all x, x will not cook. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not an astronaut. For all x, x is an astronaut if and only if x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z_3, z_3 will sleep if and only if z_3 is a scientist. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is not a sailor.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will not go running. For all x, x will go running if and only if x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is rich if and only if x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 will write a letter if and only if x_3 will play a game. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not play squash.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all w, w will drive a car if and only if w is sad. For all w, w will not drive a car. Can we infer the following from them? Answer yes or no: For all w, w will go running.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will cook if and only if x is a doctor. For all x, x will not cook. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z_3, z_3 will cook if and only if z_3 will drive a car. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is not a soldier.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all w, w is a mechanic if and only if w will play a game. For all w, w is not a mechanic. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x is an office clerk. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will not play squash. For all x, x will play squash if and only if x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z, z will not read a book. For all z, z will read a book if and only if z is sad. Can we infer the following from them? Answer yes or no: For all z, z is a politician.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will play tennis if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v, v will drink water if and only if v is a janitor. For all v, v is not a janitor. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z, z will make tea if and only if z will sleep. For all z, z will not make tea. Can we infer the following from them? Answer yes or no: For all z, z is not a nurse.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not a cashier. For all x, x is a cashier if and only if x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will not work. For all x, x will make tea if and only if x will work. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a lawyer if and only if x will drink water. For all x, x is not a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 is a lawyer if and only if x_3 is fast. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not take a plane.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will play tennis if and only if x will work. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a carpenter if and only if x will make tea. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a musician if and only if x is a police officer. For all x, x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will listen to a song if and only if x is an astronaut. For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 is a politician if and only if x_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will play squash.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not excited. For all x, x is excited if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 will write a letter if and only if x_3 is excited. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not go running.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a musician if and only if x will play squash. For all x, x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will play tennis if and only if x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not sad. For all x, x is a lawyer if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a musician if and only if x is a cashier. For all x, x is not a musician. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is not a politician. For all x, x is a politician if and only if x will go running. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 is rich and w_3 is poor. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will play squash.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u_4, u_4 is a politician and u_4 will play squash. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not sleep.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a lawyer and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 will play a game and v_4 is excited. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not drink water.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 is a soldier and v_4 is poor. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a taxi driver.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a server and x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 will sleep and w_3 will play a game. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will listen to a song.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 will play squash and v_4 will drink water. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will work.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u, u is bored and u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will play squash.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 is a poet and w_4 will take a plane. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will play a game.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 is a mechanic and w_4 is sad. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will climb a mountain.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will play tennis and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y is a police officer and y is a poet. Can we infer the following from them? Answer yes or no: For all y, y is a bartender.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will listen to a song and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u, u is a carpenter and u will cook. Can we infer the following from them? Answer yes or no: For all u, u will write a letter.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 is happy and v_4 will read a book. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not drive a car.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 will work and w_4 will play tennis. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will not drive a car.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y will play tennis and y will play squash. Can we infer the following from them? Answer yes or no: For all y, y will work.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 is a poet and w_3 will cook. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a taxi driver.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a musician and x will work. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u_4, u_4 will read a book and u_4 is a poet. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not drink water.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y is a writer and y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y will sleep.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u_4, u_4 will take a plane and u_4 is a sailor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play squash.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 is a soldier and w_3 is a sailor. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not rich.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 is a janitor and v_4 is a doctor. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not a scientist.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u, u is a politician and u will work. Can we infer the following from them? Answer yes or no: For all u, u will not sleep.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will take a plane and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will sleep and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u, u is a server and u is a janitor. Can we infer the following from them? Answer yes or no: For all u, u is not an office clerk.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will drive a car and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 will write a letter and w_3 will drink water. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a sailor.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will drink water and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 is a writer and w_3 is a poet. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not drink water.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 is an astronaut and w_4 will listen to a song. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is not a carpenter.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 will play squash and w_3 is a sailor. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a musician.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_3, w_3 will work and w_3 will play tennis. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not read a book.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will cook and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y will read a book and y will cook. Can we infer the following from them? Answer yes or no: For all y, y is not a sailor.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 will make tea and v_4 will drive a car. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not write a letter.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u, u will cook and u is an astronaut. Can we infer the following from them? Answer yes or no: For all u, u will not make tea.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all u_4, u_4 will work and u_4 is a soldier. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will listen to a song.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 is a janitor and v_4 will sleep. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a mechanic.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will play tennis and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 will read a book and v_4 is an office clerk. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not climb a mountain.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 is a police officer and w_4 will write a letter. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will cook.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all w_4, w_4 will work and w_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a bartender.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y is an astronaut and y is a server. Can we infer the following from them? Answer yes or no: For all y, y is not bored.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 is a server and v_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not a soldier.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all v_4, v_4 will drink water and v_4 will read a book. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will sleep.",no
predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y, y will play a game and y is a bartender. Can we infer the following from them? Answer yes or no: For all y, y is not curious.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Charles is drinking water. Can we infer the following from them? Answer yes or no: Charles is playing squash.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Michael is playing squash. Can we infer the following from them? Answer yes or no: For all v, v will play squash.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Linda is a taxi driver. Can we infer the following from them? Answer yes or no: Joseph is a taxi driver.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Thomas is playing tennis. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Jessica is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Thomas is driving a car. Can we infer the following from them? Answer yes or no: Mary is driving a car.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Jennifer is climbing a mountain. Can we infer the following from them? Answer yes or no: Richard is climbing a mountain.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: James is excited. Can we infer the following from them? Answer yes or no: James is cooking.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Susan is a nurse. Can we infer the following from them? Answer yes or no: Susan is playing a game.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Richard is cooking. Can we infer the following from them? Answer yes or no: For all v, v will cook.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: Elisabeth is bored.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Jessica is playing tennis. Can we infer the following from them? Answer yes or no: William is playing tennis.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: James is playing tennis. Can we infer the following from them? Answer yes or no: James is drinking water.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Patricia is an electrician. Can we infer the following from them? Answer yes or no: Patricia is listening to a song.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Susan is working. Can we infer the following from them? Answer yes or no: Karen is working.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Richard is a cashier. Can we infer the following from them? Answer yes or no: David is a cashier.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Sarah is driving a car. Can we infer the following from them? Answer yes or no: Robert is driving a car.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is climbing a mountain.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Mary is cooking. Can we infer the following from them? Answer yes or no: Mary is writing a letter.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Barbara is running. Can we infer the following from them? Answer yes or no: For all v, v will go running.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Patricia is bored. Can we infer the following from them? Answer yes or no: Patricia is a doctor.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Robert is taking a plane.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Mary is a mechanic. Can we infer the following from them? Answer yes or no: Mary is running.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: For all v, v will climb a mountain.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Barbara is sleeping. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will sleep.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Michael is a scientist. Can we infer the following from them? Answer yes or no: Michael is a sailor.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Jennifer is excited. Can we infer the following from them? Answer yes or no: For all z, z is excited.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: William is sleeping. Can we infer the following from them? Answer yes or no: Michael is sleeping.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Patricia is climbing a mountain. Can we infer the following from them? Answer yes or no: Jennifer is climbing a mountain.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Michael is playing a game. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Linda is an electrician. Can we infer the following from them? Answer yes or no: For all v, v is an electrician.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Jessica is a musician. Can we infer the following from them? Answer yes or no: Patricia is a musician.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Patricia is a carpenter. Can we infer the following from them? Answer yes or no: For all v, v is a carpenter.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: William is reading a book. Can we infer the following from them? Answer yes or no: William is climbing a mountain.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Charles is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Jessica is a poet. Can we infer the following from them? Answer yes or no: Mary is a poet.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Michael is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Richard is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Thomas is a lawyer. Can we infer the following from them? Answer yes or no: For all v, v is a lawyer.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Mary is a writer. Can we infer the following from them? Answer yes or no: For all w, w is a writer.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Jennifer is working. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Joseph is a musician. Can we infer the following from them? Answer yes or no: For all v, v is a musician.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: Sarah is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is taking a plane.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: William is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is climbing a mountain.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: Charles is a janitor. Can we infer the following from them? Answer yes or no: Charles is sleeping.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Joseph is a mechanic. Can we infer the following from them? Answer yes or no: For all v, v is a mechanic.",no
predicate,inference,existential generalization,unrelated,Consider the following premises: William is a cashier. Can we infer the following from them? Answer yes or no: Linda is a cashier.,no
predicate,inference,existential generalization,unrelated,Consider the following premises: William is a carpenter. Can we infer the following from them? Answer yes or no: William is a lawyer.,no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Sarah is running. Can we infer the following from them? Answer yes or no: For all v, v will go running.",no
predicate,inference,existential generalization,unrelated,"Consider the following premises: Charles is cooking. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will cook.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 is a soldier. For all z_4, z_4 is a janitor. Can we infer the following from them? Answer yes or no: For all z_4, z_4 is not a police officer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u is curious. For all u, u is an office clerk. Can we infer the following from them? Answer yes or no: For all u, u will not sleep.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a cashier. For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 will work. For all x_3, x_3 will listen to a song. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will sleep.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 will climb a mountain. For all z_4, z_4 is a doctor. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will play squash.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 will climb a mountain. For all z_4, z_4 will drink water. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will not go running.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will write a letter. For all u, u will make tea. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 will listen to a song. For all x_3, x_3 is poor. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will not climb a mountain.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a carpenter. For all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will go running. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 is a cashier. For all z_4, z_4 will work. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will not go running.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will drive a car. For all x, x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will drink water. For all u, u is a lawyer. Can we infer the following from them? Answer yes or no: For all u, u is not sad.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 will drive a car. For all z_4, z_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will take a plane.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will listen to a song. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will drive a car. For all u, u will read a book. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 will climb a mountain. For all x_3, x_3 will work. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will cook.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u is a taxi driver. For all u, u will make tea. Can we infer the following from them? Answer yes or no: For all u, u will not go running.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all v, v will go running. For all v, v will sleep. Can we infer the following from them? Answer yes or no: For all v, v is not a lawyer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will go running. For all u, u is a politician. Can we infer the following from them? Answer yes or no: For all u, u is not a police officer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all v, v will climb a mountain. For all v, v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v will not play tennis.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u is rich. For all u, u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play squash. For all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will read a book. For all u, u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u will play tennis.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 will work. For all z_4, z_4 will drink water. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will make tea.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u is sad. For all u, u will listen to a song. Can we infer the following from them? Answer yes or no: For all u, u is a police officer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will drink water. For all x, x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 is a lawyer. For all x_3, x_3 will cook. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is a musician.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is excited. For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is excited. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all v, v will climb a mountain. For all v, v is a sailor. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will write a letter. For all u, u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u is not a scientist.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a lawyer. For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a police officer. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all v, v is a poet. For all v, v is excited. Can we infer the following from them? Answer yes or no: For all v, v will work.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will make tea. For all u, u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u will read a book. For all u, u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will make tea.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a sailor. For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 will write a letter. For all x_3, x_3 will take a plane. Can we infer the following from them? Answer yes or no: For all x_3, x_3 will play a game.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all v, v is a police officer. For all v, v will go running. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x_3, x_3 is excited. For all x_3, x_3 is a janitor. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is a writer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will take a plane. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a writer. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x is not curious.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z_4, z_4 will write a letter. For all z_4, z_4 will play tennis. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will not read a book.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a police officer. For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all u, u is poor. For all u, u is a cashier. Can we infer the following from them? Answer yes or no: For all u, u is a poet.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will take a plane. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play a game. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play squash. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not a poet.",no
predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play squash. For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is a taxi driver or u_2 is a politician. For all u_2, u_2 is not a taxi driver. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will not climb a mountain.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 will write a letter or u_2 is a soldier. For all u_2, u_2 will not write a letter. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is not a nurse.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is an office clerk or u_2 will play tennis. For all u_2, u_2 is not an office clerk. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a police officer.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will not play a game. For all y, y will play a game or y is a poet. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will not drink water. For all y, y will drink water or y will go running. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is sad or u_2 will make tea. For all u_2, u_2 is not sad. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is not excited.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is not an astronaut. For all u, u is an astronaut or u will listen to a song. Can we infer the following from them? Answer yes or no: For all u, u is a janitor.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is curious or u will take a plane. For all u, u is not curious. Can we infer the following from them? Answer yes or no: For all u, u is sad.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is bored or x will play tennis. For all x, x is not bored. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will take a plane or x is a police officer. For all x, x will not take a plane. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is not a scientist. For all u_2, u_2 is a scientist or u_2 will play squash. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will drive a car.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y is happy or y is a taxi driver. For all y, y is not happy. Can we infer the following from them? Answer yes or no: For all y, y is not a soldier.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is a writer or u_2 is a politician. For all u_2, u_2 is not a writer. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is not a musician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 will not play tennis. For all z_1, z_1 will play tennis or z_1 is bored. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not an astronaut.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 will not climb a mountain. For all u_2, u_2 will climb a mountain or u_2 will play a game. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is not curious.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will play squash or x will play tennis. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will not play a game. For all y, y will play a game or y is rich. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 will work or u_2 is rich. For all u_2, u_2 will not work. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a janitor.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not climb a mountain. For all x, x will climb a mountain or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will not write a letter. For all u, u will write a letter or u is an artist. Can we infer the following from them? Answer yes or no: For all u, u is a musician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will cook or y will take a plane. For all y, y will not cook. Can we infer the following from them? Answer yes or no: For all y, y is curious.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 is not a bartender. For all z_1, z_1 is a bartender or z_1 is curious. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will play squash.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is a doctor or u_2 will read a book. For all u_2, u_2 is not a doctor. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is fast.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is not poor. For all u_2, u_2 is poor or u_2 is a police officer. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will work.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will not drink water. For all u, u will drink water or u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will not make tea.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y is a writer or y is rich. For all y, y is not a writer. Can we infer the following from them? Answer yes or no: For all y, y is not sad.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is not an office clerk. For all u_2, u_2 is an office clerk or u_2 will drink water. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will sleep.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is an artist or u will play a game. For all u, u is not an artist. Can we infer the following from them? Answer yes or no: For all u, u will not make tea.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will play squash or u will climb a mountain. For all u, u will not play squash. Can we infer the following from them? Answer yes or no: For all u, u will drink water.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 is not a bartender. For all z_1, z_1 is a bartender or z_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not read a book.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will not make tea. For all y, y will make tea or y is an astronaut. Can we infer the following from them? Answer yes or no: For all y, y will listen to a song.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not excited. For all x, x is excited or x is bored. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 will sleep or z_1 is a server. For all z_1, z_1 will not sleep. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a politician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 will not play squash. For all z_1, z_1 will play squash or z_1 is a doctor. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a soldier.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 is not a mechanic. For all z_1, z_1 is a mechanic or z_1 is an astronaut. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a politician.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is curious or x is a writer. For all x, x is not curious. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not cook. For all x, x will cook or x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 will not play a game. For all z_1, z_1 will play a game or z_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a server.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is an office clerk or u will read a book. For all u, u is not an office clerk. Can we infer the following from them? Answer yes or no: For all u, u is not a janitor.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will work or x will play squash. For all x, x will not work. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is a soldier or u_2 is sad. For all u_2, u_2 is not a soldier. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will not read a book.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is not an artist. For all u_2, u_2 is an artist or u_2 is a server. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will take a plane.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a mechanic. For all x, x is a mechanic or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 will not sleep. For all u_2, u_2 will sleep or u_2 will work. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will cook.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not drink water. For all x, x will drink water or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a writer. For all x, x is a writer or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y is not a lawyer. For all y, y is a lawyer or y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y is not a soldier.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z_1, z_1 is a politician or z_1 will work. For all z_1, z_1 is not a politician. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not sad.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all y, y is not a musician. For all y, y is a musician or y will take a plane. Can we infer the following from them? Answer yes or no: For all y, y is not a server.",no
predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all u_2, u_2 is not excited. For all u_2, u_2 is excited or u_2 will play squash. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is not poor.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one w for which w is an office clerk. For all w, w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is curious.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will make tea. There is at least one x for which x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a scientist. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one z for which z is rich. For all z, z is a soldier. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a carpenter.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will take a plane. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one u_1 for which u_1 will play a game. For all u_1, u_1 is a server. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is a janitor.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 is sad. For all v_3, v_3 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not play a game.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all v_3, v_3 is an artist. There is at least one v_3 for which v_3 is a writer. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will listen to a song.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all y, y will cook. There is at least one y for which y will make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play squash.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will make tea. For all x, x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a police officer. There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not take a plane.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song. For all x, x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will drink water. There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will sleep. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will play squash. For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will play a game. For all x, x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all w, w will play tennis. There is at least one w for which w is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one w for which w will take a plane.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is an astronaut. For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will cook. There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all v_4, v_4 will go running. There is at least one v_4 for which v_4 is fast. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is a police officer.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all y, y will drive a car. There is at least one y for which y will read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will climb a mountain.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a doctor. There is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will make tea. There is at least one x for which x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all y, y will listen to a song. There is at least one y for which y is happy. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will work. For all x, x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one w for which w is a taxi driver. For all w, w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will work.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is a janitor. For all x, x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all y, y is sad. There is at least one y for which y is a bartender. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a lawyer.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will drive a car. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u, u is an astronaut. There is at least one u for which u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a poet.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one w for which w will sleep. For all w, w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not climb a mountain.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is a carpenter. For all x, x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will work. For all v_3, v_3 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not play a game.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is curious. For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one v_4 for which v_4 will listen to a song. For all v_4, v_4 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will not play a game.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all w, w is a taxi driver. There is at least one w for which w is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a carpenter.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one z for which z will cook. For all z, z is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not sleep.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 is rich. For all v_3, v_3 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not listen to a song.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one y for which y is a soldier. For all y, y will sleep. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one u_1 for which u_1 will climb a mountain. For all u_1, u_1 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will play tennis.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a carpenter. There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all v_4, v_4 is a server. There is at least one v_4 for which v_4 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is a carpenter.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is a musician. For all x, x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u, u will drive a car. There is at least one u for which u is rich. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not sad.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u, u will work. There is at least one u for which u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a writer.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one y for which y will work. For all y, y is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not an artist.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is a police officer. For all x, x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u, u is a musician. There is at least one u for which u is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a scientist.",no
predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one u_1 for which u_1 will drive a car. For all u_1, u_1 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is not a politician.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 were a police officer, then v_3 is cooking. For all v_3, if v_3 were happy, then v_3 is a police officer. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a police officer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a police officer, then x is climbing a mountain. For all x, if x goes running, then x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u cooks, then u is a nurse. For all u, if u plays a game, then u is cooking. Can we infer the following from them? Answer yes or no: For all u, u is a nurse.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u reads a book, then u is working. For all u, if u works, then u is curious. Can we infer the following from them? Answer yes or no: For all u, u is curious.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v, if v were a musician, then v is drinking water. For all v, if v drives a car, then v is a musician. Can we infer the following from them? Answer yes or no: For all v, v will drive a car.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is cooking. For all x, if x cooks, then x is excited. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u reads a book, then u is writing a letter. For all u, if u makes tea, then u is reading a book. Can we infer the following from them? Answer yes or no: For all u, u will read a book.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is drinking water. For all x, if x drinks water, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is a doctor. For all x, if x were a doctor, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a poet, then x is playing squash. For all x, if x were a taxi driver, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is playing a game. For all x, if x plays a game, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u climbs a mountain, then u is curious. For all u, if u were curious, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u drinks water, then u is taking a plane. For all u, if u were a mechanic, then u is drinking water. Can we infer the following from them? Answer yes or no: For all u, u is a mechanic.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u takes a plane, then u is an artist. For all u, if u were an artist, then u is a server. Can we infer the following from them? Answer yes or no: For all u, u will take a plane.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a janitor, then x is poor. For all x, if x were poor, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u drinks water, then u is reading a book. For all u, if u reads a book, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u, u will drink water.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 were sad, then v_3 is writing a letter. For all v_3, if v_3 were fast, then v_3 is sad. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is sad.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 goes running, then v_4 is a poet. For all v_4, if v_4 were a poet, then v_4 is a lawyer. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a poet.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 listens to a song, then v_3 is working. For all v_3, if v_3 reads a book, then v_3 is listening to a song. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will listen to a song.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a politician, then x is a carpenter. For all x, if x were a carpenter, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u plays a game, then u is a mechanic. For all u, if u plays squash, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 were a mechanic, then v_4 is playing squash. For all v_4, if v_4 plays squash, then v_4 is sad. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is sad.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a poet, then x is a lawyer. For all x, if x were a soldier, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were a doctor, then u is taking a plane. For all u, if u takes a plane, then u is a musician. Can we infer the following from them? Answer yes or no: For all u, u will take a plane.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 plays squash, then v_4 is an office clerk. For all v_4, if v_4 were a sailor, then v_4 is playing squash. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is an office clerk.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were an electrician, then u is a janitor. For all u, if u drinks water, then u is an electrician. Can we infer the following from them? Answer yes or no: For all u, u is a janitor.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 were a doctor, then v_4 is poor. For all v_4, if v_4 were poor, then v_4 is playing squash. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is poor.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a mechanic, then x is a writer. For all x, if x were an office clerk, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 writes a letter, then v_3 is a sailor. For all v_3, if v_3 plays squash, then v_3 is writing a letter. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a sailor.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 plays squash, then v_3 is poor. For all v_3, if v_3 takes a plane, then v_3 is playing squash. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is poor.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v, if v plays a game, then v is a scientist. For all v, if v works, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, v is a scientist.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were a doctor, then u is bored. For all u, if u works, then u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is bored.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 cooks, then v_3 is driving a car. For all v_3, if v_3 drives a car, then v_3 is reading a book. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will drive a car.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were a carpenter, then u is poor. For all u, if u cooks, then u is a carpenter. Can we infer the following from them? Answer yes or no: For all u, u is poor.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were a server, then u is climbing a mountain. For all u, if u reads a book, then u is a server. Can we infer the following from them? Answer yes or no: For all u, u is a server.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a musician, then x is a police officer. For all x, if x were a police officer, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 were a writer, then v_4 is climbing a mountain. For all v_4, if v_4 climbs a mountain, then v_4 is reading a book. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a writer.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x makes tea, then x is a poet. For all x, if x were happy, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x works, then x is a musician. For all x, if x plays a game, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were poor, then x is working. For all x, if x works, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u were a taxi driver, then u is a police officer. For all u, if u sleeps, then u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a taxi driver.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 plays a game, then v_4 is driving a car. For all v_4, if v_4 were a mechanic, then v_4 is playing a game. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will play a game.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were sad, then x is fast. For all x, if x listens to a song, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v, if v were excited, then v is a poet. For all v, if v climbs a mountain, then v is excited. Can we infer the following from them? Answer yes or no: For all v, v is excited.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x drives a car, then x is sleeping. For all x, if x were excited, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v, if v were a scientist, then v is curious. For all v, if v were a taxi driver, then v is a scientist. Can we infer the following from them? Answer yes or no: For all v, v is a scientist.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_3, if v_3 were a janitor, then v_3 is playing a game. For all v_3, if v_3 drives a car, then v_3 is a janitor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will drive a car.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is reading a book. For all x, if x were a lawyer, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 were a writer, then v_4 is writing a letter. For all v_4, if v_4 goes running, then v_4 is a writer. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will go running.",no
predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 works, then v_4 is cooking. For all v_4, if v_4 cooks, then v_4 is taking a plane. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x plays a game, then x is playing tennis. For all x, if x were a police officer, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u were an electrician, then u is making tea. For all u, if u were a doctor, then u is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u works, then u is a janitor. For all u, if u goes running, then u is working. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a janitor.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a carpenter, then x is drinking water. For all x, if x drinks water, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x works, then x is fast. There is at least one x for which if x were fast, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u were happy, then u is a sailor. For all u, if u works, then u is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one z for which if z drinks water, then z is playing a game. For all z, if z climbs a mountain, then z is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z for which z will climb a mountain.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were excited, then x is running. For all x, if x goes running, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x makes tea, then x is drinking water. For all x, if x plays tennis, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y for which if y cooks, then y is playing a game. For all y, if y plays a game, then y is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x goes running, then x is working. There is at least one x for which if x works, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u were a taxi driver, then u is bored. For all u, if u were a soldier, then u is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u for which u is bored.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x sleeps, then x is listening to a song. There is at least one x for which if x were a mechanic, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all u, if u plays tennis, then u is a doctor. There is at least one u for which if u were a doctor, then u is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will write a letter.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a cashier, then x is fast. There is at least one x for which if x plays tennis, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x_4, if x_4 were fast, then x_4 is taking a plane. There is at least one x_4 for which if x_4 cooks, then x_4 is fast. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x_4 for which if x_4 plays squash, then x_4 is a doctor. For all x_4, if x_4 were a doctor, then x_4 is running. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will play squash.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were fast, then x is a scientist. For all x, if x were a scientist, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x cooks, then x is sleeping. There is at least one x for which if x sleeps, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x plays tennis, then x is a politician. For all x, if x were an artist, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u_2 for which if u_2 were an astronaut, then u_2 is sad. For all u_2, if u_2 were a musician, then u_2 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 is sad.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a politician, then x is a mechanic. For all x, if x were a mechanic, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all v, if v were a scientist, then v is a lawyer. There is at least one v for which if v sleeps, then v is a scientist. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x drives a car, then x is a mechanic. There is at least one x for which if x were a mechanic, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u were a bartender, then u is sleeping. For all u, if u takes a plane, then u is a bartender. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a bartender.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x drinks water, then x is reading a book. For all x, if x were a soldier, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x plays tennis, then x is an artist. For all x, if x were a scientist, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is an office clerk. There is at least one x for which if x were an office clerk, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a musician, then x is a nurse. There is at least one x for which if x were a nurse, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y for which if y climbs a mountain, then y is taking a plane. For all y, if y takes a plane, then y is sleeping. Can we infer the following from them? Answer yes or no: There is at least one y for which y will take a plane.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one z for which if z drives a car, then z is writing a letter. For all z, if z listens to a song, then z is driving a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x plays a game, then x is listening to a song. There is at least one x for which if x drinks water, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a doctor, then x is an office clerk. For all x, if x were an office clerk, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a politician, then x is a musician. There is at least one x for which if x were a musician, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a politician, then x is reading a book. There is at least one x for which if x reads a book, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y for which if y drinks water, then y is happy. For all y, if y were happy, then y is a janitor. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a janitor.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u for which if u plays a game, then u is sleeping. For all u, if u works, then u is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play a game.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all u_2, if u_2 reads a book, then u_2 is writing a letter. There is at least one u_2 for which if u_2 writes a letter, then u_2 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will write a letter.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a scientist, then x is running. For all x, if x were a nurse, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is a poet. There is at least one x for which if x were a poet, then x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x_4, if x_4 were a sailor, then x_4 is a server. There is at least one x_4 for which if x_4 takes a plane, then x_4 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a sailor.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y for which if y were fast, then y is a server. For all y, if y were a server, then y is cooking. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a writer, then x is a cashier. There is at least one x for which if x were a cashier, then x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all u_2, if u_2 plays tennis, then u_2 is working. There is at least one u_2 for which if u_2 works, then u_2 is running. Can we infer the following from them? Answer yes or no: There is at least one u_2 for which u_2 will go running.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x drives a car, then x is fast. For all x, if x were a writer, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one z for which if z were a sailor, then z is a poet. For all z, if z were bored, then z is a sailor. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a poet.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is taking a plane. For all x, if x takes a plane, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x writes a letter, then x is reading a book. For all x, if x were an office clerk, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is a janitor. There is at least one x for which if x were sad, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no
predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all y, if y drives a car, then y is a bartender. There is at least one y for which if y were a politician, then y is driving a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drive a car.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y drives a car, then y is cooking. For all y, y will not cook. Can we infer the following from them? Answer yes or no: For all y, y is not a nurse.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is running. For all x, x will not go running. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will climb a mountain. For all x, if x drinks water, then x is not climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not cook. For all x, if x were happy, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y drinks water, then y is a nurse. For all y, y is not a nurse. Can we infer the following from them? Answer yes or no: For all y, y is not a politician.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all v, v will take a plane. For all v, if v plays tennis, then v is not taking a plane. Can we infer the following from them? Answer yes or no: For all v, v is not a bartender.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x_2, if x_2 were happy, then x_2 is not cooking. For all x_2, x_2 will cook. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will climb a mountain.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not a cashier. For all x, if x were a taxi driver, then x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were sad, then x is sleeping. For all x, x will not sleep. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is not reading a book. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y goes running, then y is drinking water. For all y, y will not drink water. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is a soldier. For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y_4, y_4 will go running. For all y_4, if y_4 were curious, then y_4 is not running. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is not bored.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will play squash. For all x, if x plays a game, then x is not playing squash. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y were an office clerk, then y is a janitor. For all y, y is not a janitor. Can we infer the following from them? Answer yes or no: For all y, y is not a sailor.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not a mechanic. For all x, if x listens to a song, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is making tea. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not play a game. For all x, if x works, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not a janitor. For all x, if x were a sailor, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all v, v will cook. For all v, if v takes a plane, then v is not cooking. Can we infer the following from them? Answer yes or no: For all v, v will not write a letter.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y_4, if y_4 sleeps, then y_4 is not sad. For all y_4, y_4 is sad. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will not play squash.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not read a book. For all x, if x listens to a song, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y_4, if y_4 were poor, then y_4 is not climbing a mountain. For all y_4, y_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is not a sailor.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all v, v is an artist. For all v, if v drinks water, then v is not an artist. Can we infer the following from them? Answer yes or no: For all v, v will read a book.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is an electrician. For all x, x is not an electrician. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y sleeps, then y is excited. For all y, y is not excited. Can we infer the following from them? Answer yes or no: For all y, y is not a mechanic.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all w, if w drinks water, then w is not working. For all w, w will work. Can we infer the following from them? Answer yes or no: For all w, w is not a poet.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not sleep. For all x, if x were sad, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not poor. For all x, if x were a mechanic, then x is poor. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not an astronaut. For all x, if x were an office clerk, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not read a book. For all x, if x drinks water, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not take a plane. For all x, if x goes running, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is a carpenter. For all x, if x were an artist, then x is not a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is a doctor. For all x, x is not a doctor. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will write a letter. For all x, if x were sad, then x is not writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is a writer. For all x, if x sleeps, then x is not a writer. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x reads a book, then x is poor. For all x, x is not poor. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is curious. For all x, x is not curious. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not an electrician. For all x, if x makes tea, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not an astronaut. For all x, if x were a scientist, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not a scientist. For all x, if x plays tennis, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all v, if v reads a book, then v is not bored. For all v, v is bored. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not play a game. For all x, if x were a cashier, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not excited. For all x, if x goes running, then x is excited. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, if y were a soldier, then y is a carpenter. For all y, y is not a carpenter. Can we infer the following from them? Answer yes or no: For all y, y will work.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were an office clerk, then x is making tea. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y_4, if y_4 climbs a mountain, then y_4 is not a sailor. For all y_4, y_4 is a sailor. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will not cook.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all y, y is not a janitor. For all y, if y listens to a song, then y is a janitor. Can we infer the following from them? Answer yes or no: For all y, y is not a police officer.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not cook. For all x, if x climbs a mountain, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were rich, then x is playing squash. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y works, then y is a server. For all y, if y were a server, then y is working. Can we infer the following from them? Answer yes or no: For all y, y is a server.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were an astronaut, then x is listening to a song. For all x, if x listens to a song, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a poet, then x is listening to a song. For all x, if x listens to a song, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were poor, then x is sleeping. For all x, if x sleeps, then x is poor. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v, if v makes tea, then v is playing squash. For all v, if v plays squash, then v is making tea. Can we infer the following from them? Answer yes or no: For all v, v will play squash.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y drinks water, then y is bored. For all y, if y were bored, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, y is bored.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 cooks, then v_3 is happy. For all v_3, if v_3 were happy, then v_3 is cooking. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is happy.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 cooks, then v_3 is playing squash. For all v_3, if v_3 plays squash, then v_3 is cooking. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will cook.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 listens to a song, then v_3 is a writer. For all v_3, if v_3 were a writer, then v_3 is listening to a song. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a writer.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y were a police officer, then y is running. For all y, if y goes running, then y is a police officer. Can we infer the following from them? Answer yes or no: For all y, y is a police officer.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x sleeps, then x is happy. For all x, if x were happy, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w were a bartender, then w is making tea. For all w, if w makes tea, then w is a bartender. Can we infer the following from them? Answer yes or no: For all w, w will make tea.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a musician, then x is a lawyer. For all x, if x were a lawyer, then x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a server, then x is a poet. For all x, if x were a poet, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w were a server, then w is a writer. For all w, if w were a writer, then w is a server. Can we infer the following from them? Answer yes or no: For all w, w is a server.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x cooks, then x is a carpenter. For all x, if x were a carpenter, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were an artist, then v_3 is playing squash. For all v_3, if v_3 plays squash, then v_3 is an artist. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an artist.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x sleeps, then x is listening to a song. For all x, if x listens to a song, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y goes running, then y is climbing a mountain. For all y, if y climbs a mountain, then y is running. Can we infer the following from them? Answer yes or no: For all y, y will climb a mountain.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is a mechanic. For all x, if x were a mechanic, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a soldier, then x is an astronaut. For all x, if x were an astronaut, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w cooks, then w is running. For all w, if w goes running, then w is cooking. Can we infer the following from them? Answer yes or no: For all w, w will go running.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y cooks, then y is bored. For all y, if y were bored, then y is cooking. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were curious, then x is a poet. For all x, if x were a poet, then x is curious. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w were sad, then w is a carpenter. For all w, if w were a carpenter, then w is sad. Can we infer the following from them? Answer yes or no: For all w, w is a carpenter.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y drives a car, then y is a server. For all y, if y were a server, then y is driving a car. Can we infer the following from them? Answer yes or no: For all y, y will drive a car.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w plays tennis, then w is sleeping. For all w, if w sleeps, then w is playing tennis. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x cooks, then x is a cashier. For all x, if x were a cashier, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x works, then x is a sailor. For all x, if x were a sailor, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were a mechanic, then v_3 is a scientist. For all v_3, if v_3 were a scientist, then v_3 is a mechanic. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a scientist.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x plays a game, then x is working. For all x, if x works, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is a soldier. For all x, if x were a soldier, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x goes running, then x is taking a plane. For all x, if x takes a plane, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is making tea. For all x, if x makes tea, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v, if v works, then v is making tea. For all v, if v makes tea, then v is working. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all y, if y were an office clerk, then y is curious. For all y, if y were curious, then y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y is an office clerk.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 works, then v_3 is a taxi driver. For all v_3, if v_3 were a taxi driver, then v_3 is working. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will work.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w were a bartender, then w is drinking water. For all w, if w drinks water, then w is a bartender. Can we infer the following from them? Answer yes or no: For all w, w will drink water.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x works, then x is a janitor. For all x, if x were a janitor, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were bored, then v_3 is a lawyer. For all v_3, if v_3 were a lawyer, then v_3 is bored. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is bored.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 listens to a song, then v_3 is a mechanic. For all v_3, if v_3 were a mechanic, then v_3 is listening to a song. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will listen to a song.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were an electrician, then x is a poet. For all x, if x were a poet, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is taking a plane. For all x, if x takes a plane, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 plays a game, then v_3 is an astronaut. For all v_3, if v_3 were an astronaut, then v_3 is playing a game. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an astronaut.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w climbs a mountain, then w is driving a car. For all w, if w drives a car, then w is climbing a mountain. Can we infer the following from them? Answer yes or no: For all w, w will drive a car.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is climbing a mountain. For all x, if x climbs a mountain, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x drinks water, then x is climbing a mountain. For all x, if x climbs a mountain, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w, if w drives a car, then w is playing a game. For all w, if w plays a game, then w is driving a car. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were fast, then x is drinking water. For all x, if x drinks water, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no
predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 drives a car, then v_3 is climbing a mountain. For all v_3, if v_3 climbs a mountain, then v_3 is driving a car. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will drive a car.",no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is poor and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a politician.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y is rich and y will play tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not fast.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will play squash and x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y_3 for which y_3 is a poet and y_3 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will climb a mountain.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will work and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will drive a car and x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will cook and x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is happy and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will drive a car and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y_3 for which y_3 will make tea and y_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will write a letter.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will drink water and y is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a police officer.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will cook and z_4 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will work.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will cook and y will write a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a nurse.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y_3 for which y_3 will listen to a song and y_3 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a janitor.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will cook and z_4 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a politician.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is a nurse and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is a police officer and x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will read a book and y will play tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a poet.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will drive a car and z_2 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not listen to a song.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y is an electrician and y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a musician.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is a bartender and x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will make tea and z_2 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is an office clerk.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_2 for which z_2 is an electrician and z_2 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will read a book.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will play a game and y is a server. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not go running.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will drink water and x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some sailors will drink water. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a cashier.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some cashiers will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a poet.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y is a sailor and y is an artist. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not cook.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some servers will play squash. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a writer.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will play a game and y is a server. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a politician.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some musicians will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will go running and x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will cook and z_2 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is not a server.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y_3 for which y_3 will write a letter and y_3 is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is not curious.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some musicians are mechanics. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will go running.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is a police officer and x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will take a plane and z_4 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will play squash.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is an astronaut and x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a scientist.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y_3 for which y_3 will drive a car and y_3 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will play a game.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will take a plane and z_4 will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will drive a car.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_2 for which z_2 will go running and z_2 is a poet. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not play tennis.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some writers will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some sailors will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a lawyer.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will read a book and x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one y for which y will make tea and y will play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not listen to a song.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will read a book and x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a writer.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some doctors will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will play squash.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: Some mechanics are politicians. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will go running and z_4 will drink water. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a sailor.,no
predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is an office clerk and x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.,no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were curious, then x is driving a car. For all x, x is curious or x will make tea. For all x, if x makes tea, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, v is a politician or v will sleep. For all v, if v sleeps, then v is a cashier. For all v, if v were a politician, then v is a cashier. Can we infer the following from them? Answer yes or no: For all v, v is a sailor.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is a mechanic. For all x, x will make tea or x is a carpenter. For all x, if x makes tea, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 were a police officer, then z_3 is playing tennis. For all z_3, if z_3 were a sailor, then z_3 is playing tennis. For all z_3, z_3 is a sailor or z_3 is a police officer. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a cashier.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a musician, then x is cooking. For all x, if x goes running, then x is cooking. For all x, x is a musician or x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v were sad, then v is poor. For all v, v will drink water or v is sad. For all v, if v drinks water, then v is poor. Can we infer the following from them? Answer yes or no: For all v, v is a soldier.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is writing a letter. For all x, x will take a plane or x is a carpenter. For all x, if x were a carpenter, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x is a bartender or x is a carpenter. For all x, if x were a carpenter, then x is writing a letter. For all x, if x were a bartender, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will climb a mountain or x is a carpenter. For all x, if x climbs a mountain, then x is playing a game. For all x, if x were a carpenter, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v drinks water, then v is a poet. For all v, v will drink water or v is fast. For all v, if v were fast, then v is a poet. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, v is a soldier or v will listen to a song. For all v, if v listens to a song, then v is cooking. For all v, if v were a soldier, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, v will play a game.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were bored, then x is a nurse. For all x, x is bored or x will play squash. For all x, if x plays squash, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 writes a letter, then z_3 is a poet. For all z_3, if z_3 were a soldier, then z_3 is a poet. For all z_3, z_3 is a soldier or z_3 will write a letter. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a server.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 were a lawyer, then z_3 is taking a plane. For all z_3, if z_3 works, then z_3 is taking a plane. For all z_3, z_3 is a lawyer or z_3 will work. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a bartender.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v were rich, then v is writing a letter. For all v, if v drinks water, then v is writing a letter. For all v, v is rich or v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will take a plane.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 were rich, then z_3 is a lawyer. For all z_3, if z_3 were a politician, then z_3 is a lawyer. For all z_3, z_3 is a politician or z_3 is rich. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is excited.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will play tennis or x will read a book. For all x, if x reads a book, then x is happy. For all x, if x plays tennis, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v were fast, then v is sleeping. For all v, if v were a lawyer, then v is sleeping. For all v, v is a lawyer or v is fast. Can we infer the following from them? Answer yes or no: For all v, v is a janitor.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will take a plane or x is a lawyer. For all x, if x takes a plane, then x is cooking. For all x, if x were a lawyer, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, z_3 is a politician or z_3 is a sailor. For all z_3, if z_3 were a politician, then z_3 is poor. For all z_3, if z_3 were a sailor, then z_3 is poor. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a taxi driver.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 takes a plane, then z_3 is an artist. For all z_3, if z_3 goes running, then z_3 is an artist. For all z_3, z_3 will take a plane or z_3 will go running. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is happy.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays squash, then x is a scientist. For all x, x will play squash or x is fast. For all x, if x were fast, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, z_3 is happy or z_3 will play a game. For all z_3, if z_3 plays a game, then z_3 is a bartender. For all z_3, if z_3 were happy, then z_3 is a bartender. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will drink water.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will take a plane or x is happy. For all x, if x takes a plane, then x is an electrician. For all x, if x were happy, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v drinks water, then v is working. For all v, v will drink water or v is an electrician. For all v, if v were an electrician, then v is working. Can we infer the following from them? Answer yes or no: For all v, v will write a letter.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will write a letter or x will read a book. For all x, if x reads a book, then x is working. For all x, if x writes a letter, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x reads a book, then x is playing tennis. For all x, if x cooks, then x is playing tennis. For all x, x will cook or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will listen to a song or x is a police officer. For all x, if x were a police officer, then x is a soldier. For all x, if x listens to a song, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 were an office clerk, then z_3 is sad. For all z_3, z_3 will cook or z_3 is an office clerk. For all z_3, if z_3 cooks, then z_3 is sad. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is a sailor.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 drinks water, then z_3 is a mechanic. For all z_3, z_3 will drink water or z_3 will cook. For all z_3, if z_3 cooks, then z_3 is a mechanic. Can we infer the following from them? Answer yes or no: For all z_3, z_3 is poor.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will work or x will take a plane. For all x, if x works, then x is an artist. For all x, if x takes a plane, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x is a politician or x is an electrician. For all x, if x were an electrician, then x is playing a game. For all x, if x were a politician, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will take a plane or x will climb a mountain. For all x, if x climbs a mountain, then x is a poet. For all x, if x takes a plane, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were an astronaut, then x is cooking. For all x, if x plays squash, then x is cooking. For all x, x will play squash or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a writer, then x is playing a game. For all x, if x were a taxi driver, then x is playing a game. For all x, x is a taxi driver or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a server, then x is making tea. For all x, x will cook or x is a server. For all x, if x cooks, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is working. For all x, x is a taxi driver or x will listen to a song. For all x, if x were a taxi driver, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x writes a letter, then x is curious. For all x, if x plays tennis, then x is curious. For all x, x will write a letter or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays squash, then x is a nurse. For all x, x will climb a mountain or x will play squash. For all x, if x climbs a mountain, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 were a bartender, then z_3 is taking a plane. For all z_3, z_3 will read a book or z_3 is a bartender. For all z_3, if z_3 reads a book, then z_3 is taking a plane. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will play squash.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, if v were a scientist, then v is a lawyer. For all v, if v drinks water, then v is a lawyer. For all v, v will drink water or v is a scientist. Can we infer the following from them? Answer yes or no: For all v, v will write a letter.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a lawyer, then x is playing tennis. For all x, if x listens to a song, then x is playing tennis. For all x, x will listen to a song or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, if z_3 works, then z_3 is an office clerk. For all z_3, z_3 is a janitor or z_3 will work. For all z_3, if z_3 were a janitor, then z_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will make tea.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were fast, then x is a musician. For all x, if x makes tea, then x is a musician. For all x, x is fast or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were rich, then x is running. For all x, x is rich or x will listen to a song. For all x, if x listens to a song, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x sleeps, then x is a doctor. For all x, x will sleep or x will listen to a song. For all x, if x listens to a song, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x is rich or x is an electrician. For all x, if x were rich, then x is a soldier. For all x, if x were an electrician, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all v, v is a writer or v will write a letter. For all v, if v were a writer, then v is a politician. For all v, if v writes a letter, then v is a politician. Can we infer the following from them? Answer yes or no: For all v, v is fast.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x is a server or x will climb a mountain. For all x, if x were a server, then x is an artist. For all x, if x climbs a mountain, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all z_3, z_3 will go running or z_3 will read a book. For all z_3, if z_3 reads a book, then z_3 is taking a plane. For all z_3, if z_3 goes running, then z_3 is taking a plane. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will work.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u reads a book, then u is a scientist. For all u, if u were a scientist, then u is reading a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will read a book.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x plays tennis, then x is a politician. For all x, if x were a politician, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x plays a game, then x is a scientist. For all x, if x were a scientist, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x plays a game, then x is listening to a song. There is at least one x for which if x listens to a song, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x goes running, then x is listening to a song. For all x, if x listens to a song, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were an electrician, then x is a server. There is at least one x for which if x were a server, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one z_1 for which if z_1 were a politician, then z_1 is a scientist. For all z_1, if z_1 were a scientist, then z_1 is a politician. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a politician.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x listens to a song, then x is excited. For all x, if x were excited, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x goes running, then x is curious. For all x, if x were curious, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all z, if z goes running, then z is a server. There is at least one z for which if z were a server, then z is running. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a server.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x cooks, then x is fast. For all x, if x were fast, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one z_1 for which if z_1 makes tea, then z_1 is a lawyer. For all z_1, if z_1 were a lawyer, then z_1 is making tea. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a lawyer.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x_1, if x_1 were a sailor, then x_1 is making tea. There is at least one x_1 for which if x_1 makes tea, then x_1 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is a sailor.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x_1, if x_1 cooks, then x_1 is reading a book. There is at least one x_1 for which if x_1 reads a book, then x_1 is cooking. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will read a book.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all u, if u reads a book, then u is working. There is at least one u for which if u works, then u is reading a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will read a book.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one v for which if v works, then v is taking a plane. For all v, if v takes a plane, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u were a taxi driver, then u is making tea. For all u, if u makes tea, then u is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a taxi driver.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a politician, then x is taking a plane. For all x, if x takes a plane, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all z_1, if z_1 takes a plane, then z_1 is playing tennis. There is at least one z_1 for which if z_1 plays tennis, then z_1 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will take a plane.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x plays a game, then x is a poet. For all x, if x were a poet, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were poor, then x is working. There is at least one x for which if x works, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one v for which if v were an electrician, then v is a cashier. For all v, if v were a cashier, then v is an electrician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an electrician.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x drives a car, then x is making tea. There is at least one x for which if x makes tea, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x_1, if x_1 plays tennis, then x_1 is reading a book. There is at least one x_1 for which if x_1 reads a book, then x_1 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will read a book.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a mechanic, then x is taking a plane. For all x, if x takes a plane, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all u, if u plays a game, then u is working. There is at least one u for which if u works, then u is playing a game. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play a game.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u drives a car, then u is taking a plane. For all u, if u takes a plane, then u is driving a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drive a car.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a writer, then x is climbing a mountain. For all x, if x climbs a mountain, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a poet, then x is an artist. There is at least one x for which if x were an artist, then x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one v for which if v listens to a song, then v is drinking water. For all v, if v drinks water, then v is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x drives a car, then x is rich. For all x, if x were rich, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is sleeping. There is at least one x for which if x sleeps, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a server, then x is poor. There is at least one x for which if x were poor, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were excited, then x is a taxi driver. For all x, if x were a taxi driver, then x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x sleeps, then x is a poet. There is at least one x for which if x were a poet, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x sleeps, then x is sad. There is at least one x for which if x were sad, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x makes tea, then x is climbing a mountain. There is at least one x for which if x climbs a mountain, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one z_1 for which if z_1 plays a game, then z_1 is playing squash. For all z_1, if z_1 plays squash, then z_1 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will play a game.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x writes a letter, then x is playing tennis. For all x, if x plays tennis, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is taking a plane. There is at least one x for which if x takes a plane, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all v, if v climbs a mountain, then v is playing tennis. There is at least one v for which if v plays tennis, then v is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one z for which if z were an astronaut, then z is climbing a mountain. For all z, if z climbs a mountain, then z is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z for which z will climb a mountain.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all z_1, if z_1 drinks water, then z_1 is poor. There is at least one z_1 for which if z_1 were poor, then z_1 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will drink water.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a server, then x is a nurse. For all x, if x were a nurse, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a server, then x is a bartender. There is at least one x for which if x were a bartender, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were fast, then x is taking a plane. There is at least one x for which if x takes a plane, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a soldier, then x is a mechanic. There is at least one x for which if x were a mechanic, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one z_1 for which if z_1 takes a plane, then z_1 is rich. For all z_1, if z_1 were rich, then z_1 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is rich.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is a lawyer. There is at least one x for which if x were a lawyer, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.",no
predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a sailor, then x is playing tennis. For all x, if x plays tennis, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is curious or u will write a letter. There is at least one u for which u is not curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u will climb a mountain.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u is not an astronaut. For all u, u is an astronaut or u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not cook.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will write a letter or x will sleep. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v will drink water or v will listen to a song. For all v, v will not drink water. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not an electrician.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not play a game. There is at least one x for which x will play a game or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will play squash or x will drink water. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will not listen to a song. For all u, u will listen to a song or u is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a taxi driver.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not listen to a song. There is at least one x for which x will listen to a song or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will read a book or u is poor. There is at least one u for which u will not read a book. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not play a game.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x is curious or x will make tea. For all x, x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one w for which w is a doctor or w is a poet. For all w, w is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not work.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all w, w is not a sailor. There is at least one w for which w is a sailor or w is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a soldier.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u is an astronaut or u is a musician. For all u, u is not an astronaut. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a nurse.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v will write a letter or v will take a plane. For all v, v will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a scientist.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will sleep or x will work. There is at least one x for which x will not sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not work. There is at least one x for which x will work or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drink water.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will work or x will drive a car. For all x, x will not work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one w for which w is a taxi driver or w will play squash. For all w, w is not a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an artist.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will not play a game. For all u, u will play a game or u is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x is an electrician or x is an artist. For all x, x is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is an artist or u will play tennis. There is at least one u for which u is not an artist. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a bartender.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will not read a book. For all u, u will read a book or u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will play tennis or u is an astronaut. There is at least one u for which u will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not write a letter.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is an office clerk or x will make tea. There is at least one x for which x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u will not go running. There is at least one u for which u will go running or u is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not drink water.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a bartender. There is at least one x for which x is a bartender or x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will not play squash. For all x, x will play squash or x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will not go running. For all u, u will go running or u will drink water. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a soldier.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is happy or u is an astronaut. There is at least one u for which u is not happy. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not make tea.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is an office clerk or u will read a book. There is at least one u for which u is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x is a police officer or x will read a book. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all v, v is not an electrician. There is at least one v for which v is an electrician or v is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a sailor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u is a bartender or u is a writer. For all u, u is not a bartender. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a janitor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u is not curious. For all u, u is curious or u will work. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not take a plane.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v is excited or v is an artist. For all v, v is not excited. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not play squash.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not happy. There is at least one x for which x is happy or x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will make tea or u will take a plane. For all u, u will not make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u will climb a mountain.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u is not a poet. For all u, u is a poet or u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a soldier.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a poet. There is at least one x for which x is a poet or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one u for which u will not take a plane. For all u, u will take a plane or u is excited. Can we infer the following from them? Answer yes or no: There is at least one u for which u will climb a mountain.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is a scientist or x is a server. There is at least one x for which x is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will make tea or x will go running. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not sleep. There is at least one x for which x will sleep or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x is a mechanic or x is a sailor. For all x, x is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a janitor.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will write a letter or x will take a plane. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will drive a car or x will play tennis. For all x, x will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all w, w will not play a game. There is at least one w for which w will play a game or w is rich. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a nurse.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will read a book or x is a writer. There is at least one x for which x will not read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all u, u is a janitor or u is a bartender. There is at least one u for which u is not a janitor. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not work.",no
predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v is a lawyer or v will read a book. For all v, v is not a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play a game.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all u, u is fast. There is at least one u for which if u were fast, then u is sleeping. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a poet.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one y for which y is a politician. For all y, if y were a politician, then y is a musician. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a taxi driver.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x will write a letter. For all x, if x writes a letter, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is fast. There is at least one x for which if x were fast, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is working. There is at least one x for which x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is a doctor. There is at least one x for which if x were a doctor, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which if v goes running, then v is listening to a song. For all v, v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not climb a mountain.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x were a server, then x is a carpenter. There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which if v were a carpenter, then v is a police officer. For all v, v is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not sleep.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will listen to a song. There is at least one x for which if x listens to a song, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v is an astronaut. There is at least one v for which if v were an astronaut, then v is cooking. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a poet.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v is sad. There is at least one v for which if v were sad, then v is working. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drive a car.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v will sleep. There is at least one v for which if v sleeps, then v is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will read a book.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v will take a plane. There is at least one v for which if v takes a plane, then v is cooking. Can we infer the following from them? Answer yes or no: There is at least one v for which v will make tea.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x will drive a car. For all x, if x drives a car, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x is a lawyer. For all x, if x were a lawyer, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u takes a plane, then u is curious. For all u, u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not drink water.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is cooking. There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is excited. There is at least one x for which if x were excited, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not curious.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will drive a car. There is at least one x for which if x drives a car, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not sleep.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v is an office clerk. There is at least one v for which if v were an office clerk, then v is running. Can we infer the following from them? Answer yes or no: There is at least one v for which v is bored.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x is poor. For all x, if x were poor, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x drives a car, then x is a carpenter. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will take a plane. There is at least one x for which if x takes a plane, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x cooks, then x is a police officer. There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which if v were a taxi driver, then v is bored. For all v, v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a janitor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which if v works, then v is happy. For all v, v will work. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not an office clerk.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all y, if y were excited, then y is a nurse. There is at least one y for which y is excited. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a scientist.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, v will read a book. There is at least one v for which if v reads a book, then v is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play a game.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x makes tea, then x is an artist. For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x plays tennis, then x is fast. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will play a game. There is at least one x for which if x plays a game, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is an artist. There is at least one x for which if x were an artist, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is making tea. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u were a nurse, then u is happy. For all u, u is a nurse. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a cashier.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x were a police officer, then x is listening to a song. For all x, x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x were an astronaut, then x is playing squash. There is at least one x for which x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which if v plays tennis, then v is poor. For all v, v will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a politician.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x sleeps, then x is a janitor. For all x, x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u makes tea, then u is a server. For all u, u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u will go running.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x is a server. For all x, if x were a server, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is a server. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a taxi driver.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will drive a car. There is at least one x for which if x drives a car, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is a janitor. There is at least one x for which if x were a janitor, then x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one y for which y will sleep. For all y, if y sleeps, then y is running. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a janitor.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is a janitor. There is at least one x for which x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u works, then u is cooking. For all u, u will work. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not read a book.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u plays tennis, then u is a police officer. For all u, u will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not work.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all y, if y were a server, then y is playing squash. There is at least one y for which y is a server. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drive a car.",no
predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all y, if y plays squash, then y is playing tennis. There is at least one y for which y will play squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a police officer.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all w_4, w_4 will play a game. There is at least one w_4 for which if w_4 plays squash, then w_4 is not playing a game. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will climb a mountain.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 works, then w_4 is not running. For all w_4, w_4 will go running. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is not fast.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all y, y will read a book. There is at least one y for which if y were a nurse, then y is not reading a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not make tea.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x cooks, then x is a taxi driver. There is at least one x for which x is not a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v for which if v works, then v is not climbing a mountain. For all v, v will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a carpenter.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all u, u will play tennis. There is at least one u for which if u writes a letter, then u is not playing tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a janitor.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z_3 for which if z_3 were an artist, then z_3 is not climbing a mountain. For all z_3, z_3 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 is not a sailor.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one y for which if y plays a game, then y is not reading a book. For all y, y will read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not an office clerk. For all x, if x were excited, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, x is not a carpenter. There is at least one x for which if x were a sailor, then x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v_2 for which v_2 is an office clerk. For all v_2, if v_2 were a writer, then v_2 is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will play a game.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x will not climb a mountain. For all x, if x were a taxi driver, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 were a sailor, then w_4 is not a writer. For all w_4, w_4 is a writer. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not drive a car.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not a bartender. For all x, if x plays a game, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is an astronaut. There is at least one x for which x is not an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one y for which if y plays tennis, then y is rich. For all y, y is not rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y will go running.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is a poet. There is at least one x for which x is not a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one y for which if y listens to a song, then y is not climbing a mountain. For all y, y will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not happy. For all x, if x were sad, then x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x makes tea, then x is an office clerk. There is at least one x for which x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x sleeps, then x is bored. There is at least one x for which x is not bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not poor. For all x, if x were a server, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one u for which if u makes tea, then u is not fast. For all u, u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not bored.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is sad. There is at least one x for which x is not sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not drive a car.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all y, y is an artist. There is at least one y for which if y were a poet, then y is not an artist. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a sailor.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one w for which w is not poor. For all w, if w makes tea, then w is poor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not read a book.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not rich. For all x, if x drives a car, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 were an astronaut, then w_4 is not a doctor. For all w_4, w_4 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will make tea.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v for which if v were an astronaut, then v is not a taxi driver. For all v, v is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not go running.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not an astronaut. For all x, if x drives a car, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not read a book.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v_2 for which v_2 is a poet. For all v_2, if v_2 were a politician, then v_2 is not a poet. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will drink water.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x makes tea, then x is excited. There is at least one x for which x is not excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x drives a car, then x is listening to a song. For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z_3 for which if z_3 were a taxi driver, then z_3 is not a nurse. For all z_3, z_3 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will sleep.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is excited. There is at least one x for which x is not excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x were poor, then x is a mechanic. There is at least one x for which x is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is not happy. There is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x will not play tennis. For all x, if x were curious, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all z_4, if z_4 were a soldier, then z_4 is not a taxi driver. There is at least one z_4 for which z_4 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is a carpenter.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v for which if v were a soldier, then v is not fast. For all v, v is fast. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not make tea.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x will not sleep. For all x, if x were a taxi driver, then x is sleeping. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z_3 for which if z_3 were rich, then z_3 is not driving a car. For all z_3, z_3 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will go running.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z_4 for which z_4 is an office clerk. For all z_4, if z_4 sleeps, then z_4 is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is not a writer.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were a sailor, then x is a carpenter. For all x, x is not a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v_2 for which v_2 is rich. For all v_2, if v_2 were a writer, then v_2 is not rich. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a soldier.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all u, u is a doctor. There is at least one u for which if u plays squash, then u is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x will cook. For all x, if x were a lawyer, then x is not cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all z_3, z_3 is poor. There is at least one z_3 for which if z_3 drives a car, then z_3 is not poor. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which z_3 will not make tea.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x were a writer, then x is an electrician. There is at least one x for which x is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist.",no
predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all v, v is a server. There is at least one v for which if v were a bartender, then v is not a server. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not bored.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is an office clerk if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all u, u is not a cashier. There is at least one u for which u is a cashier if and only if u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is an office clerk if and only if x is an astronaut. There is at least one x for which x is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a sailor.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will cook if and only if x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is a police officer if and only if x is an electrician. There is at least one x for which x is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will climb a mountain if and only if x will drink water. There is at least one x for which x will not drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one w_4 for which w_4 is a taxi driver if and only if w_4 will read a book. For all w_4, w_4 is not a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will not play tennis.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x is not a nurse. For all x, x will make tea if and only if x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will sleep if and only if x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.,no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will read a book if and only if x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will not sleep. There is at least one x for which x will sleep if and only if x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an artist.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u is happy if and only if u is rich. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not poor.,no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one y for which y is a cashier if and only if y will cook. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drive a car.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x will play a game if and only if x will write a letter. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is an office clerk if and only if x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one v_2 for which v_2 is a taxi driver if and only if v_2 is a police officer. For all v_2, v_2 is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is not happy.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is a scientist if and only if x will climb a mountain. There is at least one x for which x is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x is a doctor if and only if x will play squash. For all x, x is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will go running if and only if x is a bartender. There is at least one x for which x will not go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will read a book if and only if x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.,no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one v for which v is a writer if and only if v is a musician. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not fast.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one v_3 for which v_3 will not drink water. For all v_3, v_3 will drink water if and only if v_3 will make tea. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will climb a mountain.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u will play squash if and only if u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not work.,no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u is a nurse if and only if u will play squash. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a police officer.,no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is an artist if and only if x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is a poet if and only if x is a doctor. There is at least one x for which x is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is a politician if and only if x will sleep. There is at least one x for which x is not a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all v, v will not write a letter. There is at least one v for which v is a janitor if and only if v will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a lawyer.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all v_3, v_3 is an astronaut if and only if v_3 is a doctor. There is at least one v_3 for which v_3 is not an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not make tea.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x is a scientist if and only if x is rich. For all x, x is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain if and only if x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all v_2, v_2 is not a server. There is at least one v_2 for which v_2 is sad if and only if v_2 is a server. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a cashier.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is a soldier if and only if x is curious. There is at least one x for which x is not curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a taxi driver.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all v_3, v_3 will read a book if and only if v_3 will play a game. There is at least one v_3 for which v_3 will not read a book. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a police officer.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is a poet if and only if x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all z, z will play tennis if and only if z will make tea. There is at least one z for which z will not make tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a taxi driver.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x_4 for which x_4 is an astronaut if and only if x_4 will climb a mountain. For all x_4, x_4 will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a police officer.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x_3, x_3 is a poet if and only if x_3 will work. There is at least one x_3 for which x_3 is not a poet. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not drive a car.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u will drive a car if and only if u is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is poor.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all w, w will not play a game. There is at least one w for which w will play a game if and only if w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not rich.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u will work if and only if u is a writer. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one z for which z is not poor. For all z, z is an astronaut if and only if z is poor. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x will play tennis if and only if x is a mechanic. For all x, x is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an electrician.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is a musician if and only if x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is not a soldier. There is at least one x for which x is a soldier if and only if x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician.",no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will climb a mountain if and only if x is a doctor. There is at least one x for which x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one u for which u will make tea if and only if u is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x is a politician if and only if x will read a book. For all x, x is not a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will write a letter if and only if x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.,no
predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x is a carpenter. There is at least one x for which x will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all v, v will not listen to a song or v will go running. There is at least one v for which v will listen to a song or v will play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play squash.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is a nurse or x will work. For all x, x is not a nurse or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will not make tea or x will listen to a song. There is at least one x for which x will make tea or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x_4 for which x_4 is a police officer or x_4 is a poet. For all x_4, x_4 is not a police officer or x_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a poet.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w, w is not a nurse or w is poor. There is at least one w for which w is a nurse or w will sleep. Can we infer the following from them? Answer yes or no: There is at least one w for which w is poor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will climb a mountain or x will play squash. There is at least one x for which x will not climb a mountain or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x_4, x_4 will not work or x_4 is a bartender. There is at least one x_4 for which x_4 will work or x_4 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a bartender.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not play squash or x will drive a car. For all x, x will play squash or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is a police officer or x is excited. There is at least one x for which x is not a police officer or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will take a plane or x will work. There is at least one x for which x will not take a plane or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not a sailor or x will play tennis. For all x, x is a sailor or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is not a police officer or x will play squash. There is at least one x for which x is a police officer or x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not work or x is a politician. For all x, x will work or x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will climb a mountain or x will make tea. For all x, x will not climb a mountain or x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not play a game or x is rich. For all x, x will play a game or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z, z will not write a letter or z is a carpenter. There is at least one z for which z will write a letter or z is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a taxi driver.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will not write a letter or x will cook. There is at least one x for which x will write a letter or x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will not read a book or x is a soldier. There is at least one x for which x will read a book or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will drink water or x is an office clerk. For all x, x will not drink water or x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one z_1 for which z_1 will not play squash or z_1 is sad. For all z_1, z_1 will play squash or z_1 is curious. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is curious.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all v, v is not a police officer or v will drink water. There is at least one v for which v is a police officer or v is a cashier. Can we infer the following from them? Answer yes or no: There is at least one v for which v will drink water.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all u, u is curious or u is excited. There is at least one u for which u is not curious or u is a server. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a server.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not play a game or x will play squash. For all x, x will play a game or x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a taxi driver.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is not a politician or x will take a plane. There is at least one x for which x is a politician or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is not a nurse or x is curious. There is at least one x for which x is a nurse or x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will play squash or x is a writer. For all x, x will not play squash or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will not go running or x will listen to a song. There is at least one x for which x will go running or x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not cook or x will read a book. For all x, x will cook or x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z_1, z_1 will play a game or z_1 will play tennis. There is at least one z_1 for which z_1 will not play a game or z_1 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will play tennis.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will take a plane or x will play a game. There is at least one x for which x will not take a plane or x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z_1, z_1 will read a book or z_1 is poor. There is at least one z_1 for which z_1 will not read a book or z_1 will play squash. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is poor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one z for which z is a musician or z will listen to a song. For all z, z is not a musician or z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z is happy.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is a cashier or x is an office clerk. For all x, x is not a cashier or x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one v for which v will drink water or v is curious. For all v, v will not drink water or v will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v for which v will climb a mountain.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all v, v is not an electrician or v is a bartender. There is at least one v for which v is an electrician or v is a scientist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a bartender.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z, z is not a poet or z is a politician. There is at least one z for which z is a poet or z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a politician.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w, w will not drink water or w will write a letter. There is at least one w for which w will drink water or w will sleep. Can we infer the following from them? Answer yes or no: There is at least one w for which w will write a letter.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will climb a mountain or x will play tennis. There is at least one x for which x will not climb a mountain or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is not rich or x is a doctor. There is at least one x for which x is rich or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one v for which v is a scientist or v is curious. For all v, v is not a scientist or v is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one v for which v is curious.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is sad or x is a bartender. There is at least one x for which x is not sad or x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not work or x will climb a mountain. For all x, x will work or x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will not drink water or x is a sailor. There is at least one x for which x will drink water or x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will sleep or x will go running. For all x, x will not sleep or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not read a book or x will take a plane. For all x, x will read a book or x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z, z will not make tea or z is a doctor. There is at least one z for which z will make tea or z is poor. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a doctor.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will go running or x will work. For all x, x will not go running or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one z for which z will take a plane or z is a lawyer. For all z, z will not take a plane or z will go running. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a lawyer.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will play a game or x is an artist. There is at least one x for which x will not play a game or x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will climb a mountain.",no
predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z_1, z_1 will take a plane or z_1 is an electrician. There is at least one z_1 for which z_1 will not take a plane or z_1 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a bartender.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is a janitor. For all x, if x were a janitor, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w were a writer, then w is rich. For all w, w is a writer. Can we infer the following from them? Answer yes or no: For all w, w will go running.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is an astronaut. For all x, if x were an astronaut, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is taking a plane. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is a carpenter. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is sad. For all x, if x were sad, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x is not a carpenter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is fast. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is driving a car. For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w drinks water, then w is a nurse. For all w, w will drink water. Can we infer the following from them? Answer yes or no: For all w, w will go running.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all v, v will play a game. For all v, if v plays a game, then v is a scientist. Can we infer the following from them? Answer yes or no: For all v, v is not bored.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a soldier, then x is drinking water. For all x, x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x drinks water, then x is cooking. For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, w is a server. For all w, if w were a server, then w is climbing a mountain. Can we infer the following from them? Answer yes or no: For all w, w is a sailor.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all v, v will read a book. For all v, if v reads a book, then v is working. Can we infer the following from them? Answer yes or no: For all v, v is not a writer.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is sleeping. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will play a game. For all x, if x plays a game, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all v, v will drive a car. For all v, if v drives a car, then v is climbing a mountain. Can we infer the following from them? Answer yes or no: For all v, v will not write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x goes running, then x is poor. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is rich. For all x, if x were rich, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a taxi driver, then x is driving a car. For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will listen to a song. For all x, if x listens to a song, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x reads a book, then x is making tea. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w plays tennis, then w is climbing a mountain. For all w, w will play tennis. Can we infer the following from them? Answer yes or no: For all w, w is a mechanic.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will cook. For all x, if x cooks, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x goes running, then x is sad. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is not a doctor.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will sleep. For all x, if x sleeps, then x is excited. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will go running. For all x, if x goes running, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, w is a mechanic. For all w, if w were a mechanic, then w is reading a book. Can we infer the following from them? Answer yes or no: For all w, w will not write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a server, then x is a carpenter. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, w will play a game. For all w, if w plays a game, then w is a cashier. Can we infer the following from them? Answer yes or no: For all w, w will write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x drives a car, then x is playing a game. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w were a carpenter, then w is driving a car. For all w, w is a carpenter. Can we infer the following from them? Answer yes or no: For all w, w is a soldier.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w were an artist, then w is working. For all w, w is an artist. Can we infer the following from them? Answer yes or no: For all w, w is not a taxi driver.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w were sad, then w is curious. For all w, w is sad. Can we infer the following from them? Answer yes or no: For all w, w is an electrician.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w were a lawyer, then w is a writer. For all w, w is a lawyer. Can we infer the following from them? Answer yes or no: For all w, w will sleep.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, w will sleep. For all w, if w sleeps, then w is driving a car. Can we infer the following from them? Answer yes or no: For all w, w is not a police officer.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is sad. For all x, if x were sad, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is a janitor. For all x, if x were a janitor, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is curious. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is listening to a song. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is a poet. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will make tea. For all x, if x makes tea, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a server, then x is a lawyer. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays a game, then x is a police officer. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x is a doctor. For all x, if x were a doctor, then x is running. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will cook. For all x, if x cooks, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all w, if w works, then w is taking a plane. For all w, w will work. Can we infer the following from them? Answer yes or no: For all w, w will not make tea.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will cook. For all x, if x cooks, then x is working. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no
predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x works, then x is a sailor. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is a mechanic. Can we infer the following from them? Answer yes or no: For all z, z is not an office clerk.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is an artist. Can we infer the following from them? Answer yes or no: For all z, z is a bartender.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not write a letter.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is rich. Can we infer the following from them? Answer yes or no: For all z, z will not play a game.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is bored.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z will read a book. Can we infer the following from them? Answer yes or no: For all z, z will go running.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is happy. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is not a server.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z will play tennis. Can we infer the following from them? Answer yes or no: For all z, z will not drive a car.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is excited. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no
predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is poor. Can we infer the following from them? Answer yes or no: For all z, z is not happy.",no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not a nurse.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not bored.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not go running.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a lawyer.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not happy.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a janitor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will go running. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will drive a car.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a bartender.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not cook.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is an artist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a janitor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a sailor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z will read a book.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one u for which u is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not read a book.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z will sleep. Can we infer the following from them? Answer yes or no: There is at least one z for which z is rich.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will cook. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not work.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z will sleep. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not write a letter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one u for which u is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is a politician. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not work.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not an astronaut.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will read a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will play squash. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 is not poor.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z will drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not play squash.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a writer.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will work.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 will read a book. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will drink water.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a carpenter.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one v_3 for which v_3 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not play squash.,no
predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one x for which x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not work.,no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will write a letter or x will play a game. For all x, x will not write a letter or x will work. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a writer or x is sad. For all x, x is a writer or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v will not drink water or v will drive a car. For all v, v will drink water or v is a lawyer. Can we infer the following from them? Answer yes or no: For all v, v is a lawyer.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not write a letter or x is a soldier. For all x, x will write a letter or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will play squash or z will go running. For all z, z will not play squash or z will drink water. Can we infer the following from them? Answer yes or no: For all z, z will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will not cook or z is a poet. For all z, z will cook or z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not happy or x is a scientist. For all x, x is happy or x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will play tennis or x is a bartender. For all x, x will not play tennis or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not a police officer or y will read a book. For all y, y is a police officer or y is a doctor. Can we infer the following from them? Answer yes or no: For all y, y is a doctor.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will play tennis or x will sleep. For all x, x will not play tennis or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not go running or x is fast. For all x, x will go running or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not make tea or x will go running. For all x, x will make tea or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v is bored or v will play tennis. For all v, v is not bored or v is rich. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a politician or x is a sailor. For all x, x is a politician or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will sleep or x will work. For all x, x will not sleep or x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will not drive a car or z is an electrician. For all z, z will drive a car or z will read a book. Can we infer the following from them? Answer yes or no: For all z, z will read a book.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v is a soldier or v will sleep. For all v, v is not a soldier or v is fast. Can we infer the following from them? Answer yes or no: For all v, v is fast.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not sleep or x will read a book. For all x, x will sleep or x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will not play tennis or z will play a game. For all z, z will play tennis or z is happy. Can we infer the following from them? Answer yes or no: For all z, z will play a game.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is excited or y will drink water. For all y, y is not excited or y will work. Can we infer the following from them? Answer yes or no: For all y, y will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v is a server or v will drink water. For all v, v is not a server or v will cook. Can we infer the following from them? Answer yes or no: For all v, v will cook.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a mechanic or x will listen to a song. For all x, x is not a mechanic or x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a carpenter or x is a sailor. For all x, x is a carpenter or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x_4, x_4 is not rich or x_4 will play squash. For all x_4, x_4 is rich or x_4 will read a book. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will read a book.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not play tennis or x is a politician. For all x, x will play tennis or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not an office clerk or y is bored. For all y, y is an office clerk or y will work. Can we infer the following from them? Answer yes or no: For all y, y is bored.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a mechanic or x will make tea. For all x, x is a mechanic or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z is not fast or z is a politician. For all z, z is fast or z will listen to a song. Can we infer the following from them? Answer yes or no: For all z, z is a politician.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will write a letter or x is a sailor. For all x, x will not write a letter or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not read a book or x will make tea. For all x, x will read a book or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v will make tea or v will play squash. For all v, v will not make tea or v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, v is a carpenter.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not drive a car or x is a poet. For all x, x will drive a car or x will work. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not climb a mountain or x is sad. For all x, x will climb a mountain or x is curious. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will make tea or x will drink water. For all x, x will not make tea or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not a mechanic or y will play squash. For all y, y is a mechanic or y will make tea. Can we infer the following from them? Answer yes or no: For all y, y will make tea.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will read a book or x is a police officer. For all x, x will not read a book or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will not play tennis or z will go running. For all z, z will play tennis or z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will go running.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x_4, x_4 will not play a game or x_4 will drink water. For all x_4, x_4 will play a game or x_4 is a bartender. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will drink water.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x_4, x_4 is not a writer or x_4 will play tennis. For all x_4, x_4 is a writer or x_4 will play squash. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will play squash.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not poor or y will write a letter. For all y, y is poor or y is happy. Can we infer the following from them? Answer yes or no: For all y, y is happy.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v is an astronaut or v will cook. For all v, v is not an astronaut or v will make tea. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will write a letter or z is a cashier. For all z, z will not write a letter or z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not write a letter or x will cook. For all x, x will write a letter or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y will not play squash or y will cook. For all y, y will play squash or y is curious. Can we infer the following from them? Answer yes or no: For all y, y is curious.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not a sailor or y will read a book. For all y, y is a sailor or y is happy. Can we infer the following from them? Answer yes or no: For all y, y will read a book.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not an astronaut or x is a taxi driver. For all x, x is an astronaut or x will cook. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all v, v is not rich or v is a politician. For all v, v is rich or v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all z, z will not listen to a song or z will work. For all z, z will listen to a song or z is rich. Can we infer the following from them? Answer yes or no: For all z, z will work.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all y, y is not a cashier or y is a doctor. For all y, y is a cashier or y will drive a car. Can we infer the following from them? Answer yes or no: For all y, y is a doctor.",no
predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not play tennis or x will work. For all x, x will play tennis or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing squash. Can we infer the following from them? Answer yes or no: Mary is a doctor.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: U_4 is a soldier. Can we infer the following from them? Answer yes or no: Sarah is not a mechanic.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: W is driving a car. Can we infer the following from them? Answer yes or no: For all w, w is a soldier.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: W is a janitor. Can we infer the following from them? Answer yes or no: Sarah is a mechanic.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: V is sad. Can we infer the following from them? Answer yes or no: William is playing tennis.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: U is a police officer. Can we infer the following from them? Answer yes or no: For all u, u will work.",no
predicate,inference,universal generalization,unrelated,"Consider the following premises: Y_3 is a bartender. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a carpenter.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is a lawyer. Can we infer the following from them? Answer yes or no: Sarah is a writer.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing squash. Can we infer the following from them? Answer yes or no: Joseph is not a cashier.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: W is fast. Can we infer the following from them? Answer yes or no: For all w, w is a police officer.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: W is playing squash. Can we infer the following from them? Answer yes or no: John is not working.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: Y_3 is an artist. Can we infer the following from them? Answer yes or no: Jennifer is not a lawyer.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: Y_3 is climbing a mountain. Can we infer the following from them? Answer yes or no: Barbara is not sad.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is a bartender. Can we infer the following from them? Answer yes or no: David is running.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: Y_3 is a cashier. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will make tea.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: Z is a cashier. Can we infer the following from them? Answer yes or no: Susan is excited.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: Z_1 is a writer. Can we infer the following from them? Answer yes or no: Jessica is not reading a book.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: W is working. Can we infer the following from them? Answer yes or no: For all w, w is a nurse.",no
predicate,inference,universal generalization,unrelated,"Consider the following premises: X is driving a car. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: W is a police officer. Can we infer the following from them? Answer yes or no: Charles is not cooking.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: W is drinking water. Can we infer the following from them? Answer yes or no: Jennifer is not playing tennis.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: Z is an astronaut. Can we infer the following from them? Answer yes or no: Patricia is not a nurse.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: V is a nurse. Can we infer the following from them? Answer yes or no: Joseph is not working.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is making tea. Can we infer the following from them? Answer yes or no: Richard is listening to a song.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is a bartender. Can we infer the following from them? Answer yes or no: Richard is taking a plane.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: U is sleeping. Can we infer the following from them? Answer yes or no: Joseph is not working.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is running. Can we infer the following from them? Answer yes or no: Joseph is writing a letter.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is a sailor. Can we infer the following from them? Answer yes or no: Charles is sleeping.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: Z_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is a musician.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is running. Can we infer the following from them? Answer yes or no: Michael is cooking.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is an office clerk. Can we infer the following from them? Answer yes or no: Susan is an astronaut.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: W is driving a car. Can we infer the following from them? Answer yes or no: Charles is a bartender.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is reading a book.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is a cashier. Can we infer the following from them? Answer yes or no: Robert is not sleeping.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: X is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: Z_1 is happy. Can we infer the following from them? Answer yes or no: Mary is drinking water.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing a game. Can we infer the following from them? Answer yes or no: David is reading a book.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: Z is a scientist. Can we infer the following from them? Answer yes or no: For all z, z is a bartender.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is driving a car. Can we infer the following from them? Answer yes or no: John is not an office clerk.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing a game. Can we infer the following from them? Answer yes or no: Linda is a poet.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: X is working. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: Y_3 is sleeping. Can we infer the following from them? Answer yes or no: Thomas is an astronaut.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing squash. Can we infer the following from them? Answer yes or no: Michael is listening to a song.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: U is playing squash. Can we infer the following from them? Answer yes or no: Barbara is not sleeping.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is happy. Can we infer the following from them? Answer yes or no: Charles is sleeping.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: U is climbing a mountain. Can we infer the following from them? Answer yes or no: Elisabeth is a musician.,no
predicate,inference,universal generalization,unrelated,"Consider the following premises: X is playing tennis. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is cooking. Can we infer the following from them? Answer yes or no: Karen is driving a car.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is cooking. Can we infer the following from them? Answer yes or no: Joseph is a cashier.,no
predicate,inference,universal generalization,unrelated,Consider the following premises: X is playing tennis. Can we infer the following from them? Answer yes or no: David is sad.,no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all u, u is poor or u is an astronaut. For all u, if u were poor, then u is a nurse. There is at least one u for which if u were an astronaut, then u is a nurse. Can we infer the following from them? Answer yes or no: There is at least one u for which u will climb a mountain.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, if z plays squash, then z is making tea. There is at least one z for which z will play squash or z will drive a car. For all z, if z drives a car, then z is making tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a soldier.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x were a cashier, then x is making tea. For all x, if x plays a game, then x is making tea. For all x, x is a cashier or x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all y_4, y_4 is sad or y_4 will drink water. There is at least one y_4 for which if y_4 drinks water, then y_4 is taking a plane. For all y_4, if y_4 were sad, then y_4 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a poet.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, if z works, then z is a cashier. For all z, z is a sailor or z will work. There is at least one z for which if z were a sailor, then z is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which z is bored.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one w_2 for which w_2 is a nurse or w_2 will work. For all w_2, if w_2 were a nurse, then w_2 is a scientist. For all w_2, if w_2 works, then w_2 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is a politician.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one y_4 for which if y_4 reads a book, then y_4 is driving a car. For all y_4, if y_4 were a doctor, then y_4 is driving a car. For all y_4, y_4 is a doctor or y_4 will read a book. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a nurse.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z_2, if z_2 plays tennis, then z_2 is a cashier. For all z_2, if z_2 plays a game, then z_2 is a cashier. There is at least one z_2 for which z_2 will play tennis or z_2 will play a game. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a server.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one z for which z is a politician or z will make tea. For all z, if z makes tea, then z is a bartender. For all z, if z were a politician, then z is a bartender. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a server.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which x is a nurse or x will play a game. For all x, if x were a nurse, then x is a politician. For all x, if x plays a game, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a sailor.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x drives a car, then x is a politician. For all x, if x listens to a song, then x is a politician. There is at least one x for which x will drive a car or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one v for which if v were a police officer, then v is working. For all v, if v plays tennis, then v is working. For all v, v is a police officer or v will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v will climb a mountain.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is climbing a mountain. There is at least one x for which if x were happy, then x is climbing a mountain. For all x, x is happy or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is cooking. There is at least one x for which if x writes a letter, then x is cooking. For all x, x will write a letter or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z_2, if z_2 plays tennis, then z_2 is drinking water. For all z_2, if z_2 were a soldier, then z_2 is drinking water. There is at least one z_2 for which z_2 is a soldier or z_2 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a writer.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z_1, if z_1 were a bartender, then z_1 is playing a game. For all z_1, z_1 will play tennis or z_1 is a bartender. There is at least one z_1 for which if z_1 plays tennis, then z_1 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a sailor.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, if z drives a car, then z is an astronaut. For all z, if z takes a plane, then z is an astronaut. There is at least one z for which z will drive a car or z will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which z is sad.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x plays squash, then x is sleeping. For all x, if x were an artist, then x is sleeping. For all x, x is an artist or x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x is a politician or x is a bartender. For all x, if x were a politician, then x is poor. There is at least one x for which if x were a bartender, then x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w, if w climbs a mountain, then w is working. For all w, if w drinks water, then w is working. There is at least one w for which w will drink water or w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will drive a car.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one w for which if w were a server, then w is fast. For all w, if w were an artist, then w is fast. For all w, w is an artist or w is a server. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play tennis.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w, if w cooks, then w is writing a letter. There is at least one w for which if w were a police officer, then w is writing a letter. For all w, w will cook or w is a police officer. Can we infer the following from them? Answer yes or no: There is at least one w for which w will work.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all y_4, y_4 will read a book or y_4 is a carpenter. For all y_4, if y_4 reads a book, then y_4 is drinking water. There is at least one y_4 for which if y_4 were a carpenter, then y_4 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is happy.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, if z were a scientist, then z is making tea. There is at least one z for which z is poor or z is a scientist. For all z, if z were poor, then z is making tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play tennis.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, if z were a writer, then z is happy. For all z, if z were a server, then z is happy. There is at least one z for which z is a server or z is a writer. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an astronaut.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one z for which z is a politician or z is an astronaut. For all z, if z were an astronaut, then z is a lawyer. For all z, if z were a politician, then z is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a janitor.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is a doctor. There is at least one x for which if x takes a plane, then x is a doctor. For all x, x will take a plane or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x were sad, then x is happy. For all x, x is rich or x is sad. For all x, if x were rich, then x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w, if w plays tennis, then w is listening to a song. There is at least one w for which if w were a sailor, then w is listening to a song. For all w, w will play tennis or w is a sailor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one z for which if z cooks, then z is curious. For all z, if z were a politician, then z is curious. For all z, z will cook or z is a politician. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one u for which if u were an office clerk, then u is a carpenter. For all u, u will take a plane or u is an office clerk. For all u, if u takes a plane, then u is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u for which u will go running.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all z, z will climb a mountain or z will write a letter. There is at least one z for which if z climbs a mountain, then z is reading a book. For all z, if z writes a letter, then z is reading a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z will listen to a song.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w, if w cooks, then w is listening to a song. There is at least one w for which if w were a musician, then w is listening to a song. For all w, w will cook or w is a musician. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x will go running or x will work. There is at least one x for which if x works, then x is listening to a song. For all x, if x goes running, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays a game, then x is an astronaut. There is at least one x for which x will read a book or x will play a game. For all x, if x reads a book, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x is a sailor or x will work. There is at least one x for which if x were a sailor, then x is making tea. For all x, if x works, then x is making tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a soldier.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x cooks, then x is a sailor. For all x, if x plays tennis, then x is a sailor. There is at least one x for which x will cook or x will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all y_4, y_4 will write a letter or y_4 is poor. For all y_4, if y_4 writes a letter, then y_4 is running. There is at least one y_4 for which if y_4 were poor, then y_4 is running. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is happy.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one y for which if y makes tea, then y is taking a plane. For all y, if y were a poet, then y is taking a plane. For all y, y is a poet or y will make tea. Can we infer the following from them? Answer yes or no: There is at least one y for which y will write a letter.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x is sad or x will play a game. There is at least one x for which if x plays a game, then x is a soldier. For all x, if x were sad, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one w_2 for which w_2 will play a game or w_2 is a carpenter. For all w_2, if w_2 were a carpenter, then w_2 is sleeping. For all w_2, if w_2 plays a game, then w_2 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is an electrician.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one y for which if y climbs a mountain, then y is running. For all y, if y plays a game, then y is running. For all y, y will play a game or y will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drive a car.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x will go running or x will read a book. There is at least one x for which if x reads a book, then x is playing tennis. For all x, if x goes running, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w_2, if w_2 works, then w_2 is a carpenter. For all w_2, if w_2 plays tennis, then w_2 is a carpenter. There is at least one w_2 for which w_2 will play tennis or w_2 will work. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will cook.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were happy, then x is drinking water. For all x, if x were an astronaut, then x is drinking water. There is at least one x for which x is an astronaut or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one w_2 for which w_2 is a server or w_2 will go running. For all w_2, if w_2 were a server, then w_2 is cooking. For all w_2, if w_2 goes running, then w_2 is cooking. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will play tennis.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all v, if v were a carpenter, then v is a scientist. For all v, v is a nurse or v is a carpenter. There is at least one v for which if v were a nurse, then v is a scientist. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an astronaut.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x will write a letter or x will climb a mountain. For all x, if x climbs a mountain, then x is driving a car. There is at least one x for which if x writes a letter, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one u for which if u plays tennis, then u is driving a car. For all u, if u were a cashier, then u is driving a car. For all u, u is a cashier or u will play tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy.",no
predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were sad, then x is a poet. There is at least one x for which if x were happy, then x is a poet. For all x, x is sad or x is happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x is not a scientist. There is at least one x for which if x were a scientist, then x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not rich.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which x will not write a letter. For all x, if x writes a letter, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play squash.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, if x writes a letter, then x is climbing a mountain. There is at least one x for which x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not climb a mountain.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_2 for which if z_2 were an astronaut, then z_2 is playing squash. For all z_2, z_2 is not an astronaut. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not play squash.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all y, y will not drive a car. There is at least one y for which if y drives a car, then y is reading a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not read a book.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x plays tennis, then x is fast. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not fast.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_2 for which if z_2 were a cashier, then z_2 is listening to a song. For all z_2, z_2 is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not listen to a song.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, w will not sleep. There is at least one w for which if w sleeps, then w is bored. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not bored.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x is not bored. There is at least one x for which if x were bored, then x is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play a game.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were a server, then z_1 is playing a game. There is at least one z_1 for which z_1 is not a server. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will not play a game.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, w is not poor. There is at least one w for which if w were poor, then w is a poet. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a poet.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x were happy, then x is making tea. For all x, x is not happy. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not make tea.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were fast, then z_1 is sleeping. There is at least one z_1 for which z_1 is not fast. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will not sleep.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, if w were a nurse, then w is making tea. There is at least one w for which w is not a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not make tea.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, if w goes running, then w is happy. There is at least one w for which w will not go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not happy.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, w is not a server. There is at least one w for which if w were a server, then w is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not listen to a song.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w were a mechanic, then w is an office clerk. For all w, w is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an office clerk.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w were a writer, then w is cooking. For all w, w is not a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not cook.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 drives a car, then z_1 is a janitor. There is at least one z_1 for which z_1 will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is not a janitor.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x is not poor. There is at least one x for which if x were poor, then x is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a mechanic.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all y, y is not excited. There is at least one y for which if y were excited, then y is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not listen to a song.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w reads a book, then w is poor. For all w, w will not read a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not poor.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which x is not a writer. For all x, if x were a writer, then x is a cashier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a cashier.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is playing tennis. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not play tennis.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x plays a game, then x is a doctor. For all x, x will not play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a doctor.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all v_2, v_2 will not drive a car. There is at least one v_2 for which if v_2 drives a car, then v_2 is working. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will not work.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w will not listen to a song. For all w, if w listens to a song, then w is making tea. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not make tea.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all y, y is not happy. There is at least one y for which if y were happy, then y is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not a police officer.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one v_2 for which if v_2 were a doctor, then v_2 is making tea. For all v_2, v_2 is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will not make tea.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all y, y will not climb a mountain. There is at least one y for which if y climbs a mountain, then y is running. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not go running.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_1 for which z_1 will not drive a car. For all z_1, if z_1 drives a car, then z_1 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is not a nurse.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w is not a janitor. For all w, if w were a janitor, then w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an artist.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x were a scientist, then x is a server. For all x, x is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a server.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w works, then w is a scientist. For all w, w will not work. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a scientist.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w, if w cooks, then w is poor. There is at least one w for which w will not cook. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not poor.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w_3, if w_3 takes a plane, then w_3 is an electrician. There is at least one w_3 for which w_3 will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not an electrician.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w is not an artist. For all w, if w were an artist, then w is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not an office clerk.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is a police officer. For all x, x is not a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a police officer.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w sleeps, then w is reading a book. For all w, w will not sleep. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not read a book.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which if w were fast, then w is working. For all w, w is not fast. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not work.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, if x were a soldier, then x is listening to a song. There is at least one x for which x is not a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will not listen to a song.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w is not a soldier. For all w, if w were a soldier, then w is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not play tennis.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x is not curious. There is at least one x for which if x were curious, then x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not a nurse.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all v_2, v_2 will not make tea. There is at least one v_2 for which if v_2 makes tea, then v_2 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is not a lawyer.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w will not climb a mountain. For all w, if w climbs a mountain, then w is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a mechanic.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w_3 for which w_3 will not go running. For all w_3, if w_3 goes running, then w_3 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not a bartender.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w_3 for which w_3 will not write a letter. For all w_3, if w_3 writes a letter, then w_3 is cooking. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 will not cook.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one w for which w is not a soldier. For all w, if w were a soldier, then w is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w for which w is not a scientist.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is excited. For all x, x is not a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not excited.",no
predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w_3, if w_3 drives a car, then w_3 is a bartender. There is at least one w_3 for which w_3 will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is not a bartender.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x listens to a song, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x were a mechanic, then x is listening to a song.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x writes a letter, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x were a mechanic, then x is writing a letter.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y plays tennis, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, if y climbs a mountain, then y is playing tennis.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 were a cashier, then z_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 climbs a mountain, then z_2 is a cashier.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y_2, if y_2 plays squash, then y_2 is poor. Can we infer the following from them? Answer yes or no: For all y_2, if y_2 were poor, then y_2 is playing squash.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y_2, if y_2 sleeps, then y_2 is an astronaut. Can we infer the following from them? Answer yes or no: For all y_2, if y_2 were an astronaut, then y_2 is sleeping.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y were poor, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, if y drinks water, then y is poor.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a doctor, then w is sad. Can we infer the following from them? Answer yes or no: For all w, if w were sad, then w is a doctor.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 were a bartender, then z_2 is reading a book. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 reads a book, then z_2 is a bartender.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y were happy, then y is a cashier. Can we infer the following from them? Answer yes or no: For all y, if y were a cashier, then y is happy.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y were a cashier, then y is bored. Can we infer the following from them? Answer yes or no: For all y, if y were bored, then y is a cashier.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x reads a book, then x is running. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is reading a book.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, if x plays a game, then x is climbing a mountain.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, if x makes tea, then x is climbing a mountain.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_4, if z_4 plays tennis, then z_4 is running. Can we infer the following from them? Answer yes or no: For all z_4, if z_4 goes running, then z_4 is playing tennis.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y were a poet, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, if y sleeps, then y is a poet.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were rich, then x is fast. Can we infer the following from them? Answer yes or no: For all x, if x were fast, then x is rich.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w drinks water, then w is a poet. Can we infer the following from them? Answer yes or no: For all w, if w were a poet, then w is drinking water.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were happy, then x is rich. Can we infer the following from them? Answer yes or no: For all x, if x were rich, then x is happy.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 were an astronaut, then z_2 is bored. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 were bored, then z_2 is an astronaut.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a writer, then w is driving a car. Can we infer the following from them? Answer yes or no: For all w, if w drives a car, then w is a writer.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x drives a car, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, if x climbs a mountain, then x is driving a car.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w plays squash, then w is driving a car. Can we infer the following from them? Answer yes or no: For all w, if w drives a car, then w is playing squash.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 cooks, then z_2 is a nurse. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 were a nurse, then z_2 is cooking.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w goes running, then w is a doctor. Can we infer the following from them? Answer yes or no: For all w, if w were a doctor, then w is running.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x writes a letter, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is writing a letter.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a cashier, then w is a soldier. Can we infer the following from them? Answer yes or no: For all w, if w were a soldier, then w is a cashier.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a scientist, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, if x were an astronaut, then x is a scientist.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 drinks water, then z_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 climbs a mountain, then z_2 is drinking water.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a soldier, then x is a police officer. Can we infer the following from them? Answer yes or no: For all x, if x were a police officer, then x is a soldier.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a janitor, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, if x were a bartender, then x is a janitor.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a cashier, then x is happy. Can we infer the following from them? Answer yes or no: For all x, if x were happy, then x is a cashier.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 works, then z_2 is a police officer. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 were a police officer, then z_2 is working.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were sad, then x is happy. Can we infer the following from them? Answer yes or no: For all x, if x were happy, then x is sad.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were rich, then w is a nurse. Can we infer the following from them? Answer yes or no: For all w, if w were a nurse, then w is rich.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 were a lawyer, then z_2 is sleeping. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 sleeps, then z_2 is a lawyer.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y takes a plane, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, if y climbs a mountain, then y is taking a plane.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x drives a car, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x plays squash, then x is driving a car.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_4, if z_4 were a politician, then z_4 is playing a game. Can we infer the following from them? Answer yes or no: For all z_4, if z_4 plays a game, then z_4 is a politician.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_4, if z_4 sleeps, then z_4 is listening to a song. Can we infer the following from them? Answer yes or no: For all z_4, if z_4 listens to a song, then z_4 is sleeping.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y were a scientist, then y is a nurse. Can we infer the following from them? Answer yes or no: For all y, if y were a nurse, then y is a scientist.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, if x were a poet, then x is climbing a mountain.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were an office clerk, then w is sleeping. Can we infer the following from them? Answer yes or no: For all w, if w sleeps, then w is an office clerk.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_4, if z_4 were excited, then z_4 is a mechanic. Can we infer the following from them? Answer yes or no: For all z_4, if z_4 were a mechanic, then z_4 is excited.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were an office clerk, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, if x were a carpenter, then x is an office clerk.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x plays squash, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, if x climbs a mountain, then x is playing squash.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a writer, then w is excited. Can we infer the following from them? Answer yes or no: For all w, if w were excited, then w is a writer.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z_2, if z_2 were a politician, then z_2 is a carpenter. Can we infer the following from them? Answer yes or no: For all z_2, if z_2 were a carpenter, then z_2 is a politician.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y, if y drinks water, then y is playing tennis. Can we infer the following from them? Answer yes or no: For all y, if y plays tennis, then y is drinking water.",no
predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were fast, then w is a cashier. Can we infer the following from them? Answer yes or no: For all w, if w were a cashier, then w is fast.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x is fast. For all x, if x cooks, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were a carpenter, then x is sleeping. For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, if y_3 plays a game, then y_3 is an electrician. For all y_3, y_3 is an electrician. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play a game.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, y_3 is excited. For all y_3, if y_3 drives a car, then y_3 is excited. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will drive a car.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 were an electrician, then y_2 is driving a car. For all y_2, y_2 will drive a car. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is an electrician.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is a politician. For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, y is an office clerk. For all y, if y cooks, then y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, if y_3 were a police officer, then y_3 is taking a plane. For all y_3, y_3 will take a plane. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a police officer.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, if z drinks water, then z is a politician. For all z, z is a politician. Can we infer the following from them? Answer yes or no: For all z, z will drink water.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x will read a book. For all x, if x were excited, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, if y were rich, then y is a writer. For all y, y is a writer. Can we infer the following from them? Answer yes or no: For all y, y is rich.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 is bored. For all z_2, if z_2 plays a game, then z_2 is bored. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will play a game.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 will cook. For all z_2, if z_2 were a musician, then z_2 is cooking. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is a musician.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, y is a poet. For all y, if y were a cashier, then y is a poet. Can we infer the following from them? Answer yes or no: For all y, y is a cashier.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all v_4, v_4 is a taxi driver. For all v_4, if v_4 drives a car, then v_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will drive a car.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, if y were a bartender, then y is a musician. For all y, y is a musician. Can we infer the following from them? Answer yes or no: For all y, y is a bartender.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, if y_3 listens to a song, then y_3 is bored. For all y_3, y_3 is bored. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will listen to a song.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, y_2 will play a game. For all y_2, if y_2 were an artist, then y_2 is playing a game. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is an artist.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 listens to a song, then y_2 is writing a letter. For all y_2, y_2 will write a letter. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will listen to a song.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, y_3 will drive a car. For all y_3, if y_3 were a mechanic, then y_3 is driving a car. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a mechanic.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 will read a book. For all z_2, if z_2 makes tea, then z_2 is reading a book. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will make tea.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, if z_2 were sad, then z_2 is making tea. For all z_2, z_2 will make tea. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is sad.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x will climb a mountain. For all x, if x were a scientist, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, y will drink water. For all y, if y reads a book, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, y will read a book.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 is a taxi driver. For all z_2, if z_2 reads a book, then z_2 is a taxi driver. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will read a book.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 drinks water, then y_2 is reading a book. For all y_2, y_2 will read a book. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will drink water.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, y is a politician. For all y, if y listens to a song, then y is a politician. Can we infer the following from them? Answer yes or no: For all y, y will listen to a song.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, y_2 will take a plane. For all y_2, if y_2 reads a book, then y_2 is taking a plane. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will read a book.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, if y_3 plays a game, then y_3 is a police officer. For all y_3, y_3 is a police officer. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play a game.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 is fast. For all z_2, if z_2 writes a letter, then z_2 is fast. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will write a letter.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, z will make tea. For all z, if z plays tennis, then z is making tea. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 plays tennis, then y_2 is driving a car. For all y_2, y_2 will drive a car. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will play tennis.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 will play squash. For all z_2, if z_2 were a lawyer, then z_2 is playing squash. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is a lawyer.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, z will listen to a song. For all z, if z were a nurse, then z is listening to a song. Can we infer the following from them? Answer yes or no: For all z, z is a nurse.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, if y_3 were a soldier, then y_3 is a lawyer. For all y_3, y_3 is a lawyer. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a soldier.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, y_2 will read a book. For all y_2, if y_2 plays tennis, then y_2 is reading a book. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will play tennis.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x is fast. For all x, if x were a janitor, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, if y were curious, then y is drinking water. For all y, y will drink water. Can we infer the following from them? Answer yes or no: For all y, y is curious.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 were excited, then y_2 is sleeping. For all y_2, y_2 will sleep. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is excited.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 will climb a mountain. For all z_2, if z_2 were an electrician, then z_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is an electrician.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, z will write a letter. For all z, if z plays tennis, then z is writing a letter. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were happy, then x is driving a car. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y, if y were an office clerk, then y is rich. For all y, y is rich. Can we infer the following from them? Answer yes or no: For all y, y is an office clerk.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x is a musician. For all x, if x plays squash, then x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x will make tea. For all x, if x were an astronaut, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all v_4, if v_4 sleeps, then v_4 is curious. For all v_4, v_4 is curious. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will sleep.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were a carpenter, then x is driving a car. For all x, x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, if z plays tennis, then z is working. For all z, z will work. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all z, if z cooks, then z is climbing a mountain. For all z, z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will cook.",no
predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, y_2 will read a book. For all y_2, if y_2 were a writer, then y_2 is reading a book. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is a writer.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a nurse, then x is driving a car. For all x, if x were a nurse, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, if x drives a car, then x is an astronaut.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x cooks, then x is a doctor. For all x, if x cooks, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, if x were an astronaut, then x is a doctor.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u plays a game, then u is making tea. For all u, if u plays a game, then u is a bartender. Can we infer the following from them? Answer yes or no: For all u, if u were a bartender, then u is making tea.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were a lawyer, then u is a soldier. For all u, if u were a lawyer, then u is an electrician. Can we infer the following from them? Answer yes or no: For all u, if u were a soldier, then u is an electrician.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a server, then x is drinking water. For all x, if x were a server, then x is a cashier. Can we infer the following from them? Answer yes or no: For all x, if x were a cashier, then x is drinking water.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a police officer, then x is an artist. For all x, if x were a police officer, then x is a writer. Can we infer the following from them? Answer yes or no: For all x, if x were a writer, then x is an artist.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a soldier, then x is reading a book. For all x, if x were a soldier, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is a scientist.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a taxi driver, then x is a lawyer. For all x, if x were a taxi driver, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x plays squash, then x is a lawyer.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a bartender, then x is playing tennis. For all x, if x were a bartender, then x is fast. Can we infer the following from them? Answer yes or no: For all x, if x were fast, then x is playing tennis.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were curious, then u is a janitor. For all u, if u were curious, then u is working. Can we infer the following from them? Answer yes or no: For all u, if u works, then u is a janitor.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a poet, then x is a police officer. For all x, if x were a poet, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, if x were a sailor, then x is a police officer.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a scientist, then z is running. For all z, if z were a scientist, then z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, if z were a taxi driver, then z is running.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x works, then x is sleeping. For all x, if x works, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, if x sleeps, then x is drinking water.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a lawyer, then x is working. For all x, if x were a lawyer, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is working.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z works, then z is cooking. For all z, if z works, then z is curious. Can we infer the following from them? Answer yes or no: For all z, if z cooks, then z is curious.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z goes running, then z is an astronaut. For all z, if z goes running, then z is a janitor. Can we infer the following from them? Answer yes or no: For all z, if z were a janitor, then z is an astronaut.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x works, then x is a cashier. For all x, if x works, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, if x were a cashier, then x is a carpenter.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x goes running, then x is a sailor. For all x, if x goes running, then x is a cashier. Can we infer the following from them? Answer yes or no: For all x, if x were a sailor, then x is a cashier.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z plays a game, then z is taking a plane. For all z, if z plays a game, then z is sad. Can we infer the following from them? Answer yes or no: For all z, if z were sad, then z is taking a plane.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z works, then z is a musician. For all z, if z works, then z is reading a book. Can we infer the following from them? Answer yes or no: For all z, if z were a musician, then z is reading a book.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z drinks water, then z is a taxi driver. For all z, if z drinks water, then z is bored. Can we infer the following from them? Answer yes or no: For all z, if z were bored, then z is a taxi driver.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were a scientist, then u is excited. For all u, if u were a scientist, then u is playing squash. Can we infer the following from them? Answer yes or no: For all u, if u were excited, then u is playing squash.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a politician, then x is a lawyer. For all x, if x were a politician, then x is a police officer. Can we infer the following from them? Answer yes or no: For all x, if x were a lawyer, then x is a police officer.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u writes a letter, then u is running. For all u, if u writes a letter, then u is curious. Can we infer the following from them? Answer yes or no: For all u, if u were curious, then u is running.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a sailor, then x is working. For all x, if x were a sailor, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x works, then x is a mechanic.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x works, then x is playing tennis. For all x, if x works, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x plays squash, then x is playing tennis.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were an electrician, then x is bored. For all x, if x were an electrician, then x is working. Can we infer the following from them? Answer yes or no: For all x, if x were bored, then x is working.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z reads a book, then z is a taxi driver. For all z, if z reads a book, then z is a doctor. Can we infer the following from them? Answer yes or no: For all z, if z were a doctor, then z is a taxi driver.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x cooks, then x is playing a game. For all x, if x cooks, then x is poor. Can we infer the following from them? Answer yes or no: For all x, if x plays a game, then x is poor.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were curious, then x is a poet. For all x, if x were curious, then x is running. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is a poet.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a scientist, then z is driving a car. For all z, if z were a scientist, then z is listening to a song. Can we infer the following from them? Answer yes or no: For all z, if z drives a car, then z is listening to a song.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z drinks water, then z is working. For all z, if z drinks water, then z is a bartender. Can we infer the following from them? Answer yes or no: For all z, if z were a bartender, then z is working.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a server, then x is a janitor. For all x, if x were a server, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x were a mechanic, then x is a janitor.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x plays squash, then x is a cashier. For all x, if x plays squash, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, if x were a cashier, then x is an astronaut.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x takes a plane, then x is cooking. For all x, if x takes a plane, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, if x cooks, then x is driving a car.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were a carpenter, then u is climbing a mountain. For all u, if u were a carpenter, then u is an artist. Can we infer the following from them? Answer yes or no: For all u, if u were an artist, then u is climbing a mountain.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x plays tennis, then x is taking a plane. For all x, if x plays tennis, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, if x sleeps, then x is taking a plane.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x plays tennis, then x is running. For all x, if x plays tennis, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is listening to a song.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were a janitor, then u is an artist. For all u, if u were a janitor, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, if u plays a game, then u is an artist.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all u, if u were curious, then u is running. For all u, if u were curious, then u is playing a game. Can we infer the following from them? Answer yes or no: For all u, if u plays a game, then u is running.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x takes a plane, then x is playing a game. For all x, if x takes a plane, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, if x plays a game, then x is an astronaut.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x cooks, then x is playing tennis. For all x, if x cooks, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, if x takes a plane, then x is playing tennis.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a taxi driver, then z is a police officer. For all z, if z were a taxi driver, then z is a sailor. Can we infer the following from them? Answer yes or no: For all z, if z were a police officer, then z is a sailor.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x cooks, then x is playing squash. For all x, if x cooks, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, if x plays squash, then x is listening to a song.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z writes a letter, then z is sleeping. For all z, if z writes a letter, then z is reading a book. Can we infer the following from them? Answer yes or no: For all z, if z reads a book, then z is sleeping.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a poet, then z is playing tennis. For all z, if z were a poet, then z is running. Can we infer the following from them? Answer yes or no: For all z, if z goes running, then z is playing tennis.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were an artist, then x is reading a book. For all x, if x were an artist, then x is excited. Can we infer the following from them? Answer yes or no: For all x, if x were excited, then x is reading a book.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were curious, then x is a police officer. For all x, if x were curious, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, if x were a police officer, then x is a scientist.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were an electrician, then x is a bartender. For all x, if x were an electrician, then x is running. Can we infer the following from them? Answer yes or no: For all x, if x were a bartender, then x is running.",no
predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z drinks water, then z is a server. For all z, if z drinks water, then z is a soldier. Can we infer the following from them? Answer yes or no: For all z, if z were a server, then z is a soldier.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will cook. For all x, if x cooks, then x is playing squash. Can we infer the following from them? Answer yes or no: There is no x for which x will play squash.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v, if v goes running, then v is a lawyer. There is no v for which v will go running. Can we infer the following from them? Answer yes or no: There is no v for which v is a lawyer.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all y, if y were an astronaut, then y is a politician. There is no y for which y is an astronaut. Can we infer the following from them? Answer yes or no: There is no y for which y is a politician.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y is a writer. For all y, if y were a writer, then y is drinking water. Can we infer the following from them? Answer yes or no: There is no y for which y will drink water.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all y, if y goes running, then y is a police officer. There is no y for which y will go running. Can we infer the following from them? Answer yes or no: There is no y for which y is a police officer.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z for which z is a poet. For all z, if z were a poet, then z is taking a plane. Can we infer the following from them? Answer yes or no: There is no z for which z will take a plane.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_1, if v_1 takes a plane, then v_1 is an astronaut. There is no v_1 for which v_1 will take a plane. Can we infer the following from them? Answer yes or no: There is no v_1 for which v_1 is an astronaut.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x writes a letter, then x is taking a plane. There is no x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is no x for which x will take a plane.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x writes a letter, then x is a soldier. There is no x for which x will write a letter. Can we infer the following from them? Answer yes or no: There is no x for which x is a soldier.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x takes a plane, then x is sad. There is no x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is no x for which x is sad.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y will write a letter. For all y, if y writes a letter, then y is curious. Can we infer the following from them? Answer yes or no: There is no y for which y is curious.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no u for which u will sleep. For all u, if u sleeps, then u is playing squash. Can we infer the following from them? Answer yes or no: There is no u for which u will play squash.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y is a lawyer. For all y, if y were a lawyer, then y is a nurse. Can we infer the following from them? Answer yes or no: There is no y for which y is a nurse.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will play a game. For all x, if x plays a game, then x is a poet. Can we infer the following from them? Answer yes or no: There is no x for which x is a poet.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z for which z will drive a car. For all z, if z drives a car, then z is playing tennis. Can we infer the following from them? Answer yes or no: There is no z for which z will play tennis.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x were a politician, then x is playing tennis. There is no x for which x is a politician. Can we infer the following from them? Answer yes or no: There is no x for which x will play tennis.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x were a server, then x is a taxi driver. There is no x for which x is a server. Can we infer the following from them? Answer yes or no: There is no x for which x is a taxi driver.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y will drink water. For all y, if y drinks water, then y is a taxi driver. Can we infer the following from them? Answer yes or no: There is no y for which y is a taxi driver.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z for which z will drink water. For all z, if z drinks water, then z is driving a car. Can we infer the following from them? Answer yes or no: There is no z for which z will drive a car.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no u for which u is curious. For all u, if u were curious, then u is sleeping. Can we infer the following from them? Answer yes or no: There is no u for which u will sleep.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all u, if u drives a car, then u is an astronaut. There is no u for which u will drive a car. Can we infer the following from them? Answer yes or no: There is no u for which u is an astronaut.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is a server. For all x, if x were a server, then x is a bartender. Can we infer the following from them? Answer yes or no: There is no x for which x is a bartender.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all z, if z were an artist, then z is making tea. There is no z for which z is an artist. Can we infer the following from them? Answer yes or no: There is no z for which z will make tea.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y will drive a car. For all y, if y drives a car, then y is a police officer. Can we infer the following from them? Answer yes or no: There is no y for which y is a police officer.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will go running. For all x, if x goes running, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is no x for which x will listen to a song.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x plays squash, then x is playing tennis. There is no x for which x will play squash. Can we infer the following from them? Answer yes or no: There is no x for which x will play tennis.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x were a soldier, then x is reading a book. There is no x for which x is a soldier. Can we infer the following from them? Answer yes or no: There is no x for which x will read a book.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no u for which u will climb a mountain. For all u, if u climbs a mountain, then u is a politician. Can we infer the following from them? Answer yes or no: There is no u for which u is a politician.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z for which z is a lawyer. For all z, if z were a lawyer, then z is a politician. Can we infer the following from them? Answer yes or no: There is no z for which z is a politician.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all u, if u sleeps, then u is an office clerk. There is no u for which u will sleep. Can we infer the following from them? Answer yes or no: There is no u for which u is an office clerk.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all y, if y plays tennis, then y is a bartender. There is no y for which y will play tennis. Can we infer the following from them? Answer yes or no: There is no y for which y is a bartender.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no v for which v will write a letter. For all v, if v writes a letter, then v is climbing a mountain. Can we infer the following from them? Answer yes or no: There is no v for which v will climb a mountain.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all z, if z drives a car, then z is a scientist. There is no z for which z will drive a car. Can we infer the following from them? Answer yes or no: There is no z for which z is a scientist.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no v_1 for which v_1 is poor. For all v_1, if v_1 were poor, then v_1 is listening to a song. Can we infer the following from them? Answer yes or no: There is no v_1 for which v_1 will listen to a song.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is bored. For all x, if x were bored, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is no x for which x will take a plane.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y will take a plane. For all y, if y takes a plane, then y is playing squash. Can we infer the following from them? Answer yes or no: There is no y for which y will play squash.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is happy. For all x, if x were happy, then x is playing a game. Can we infer the following from them? Answer yes or no: There is no x for which x will play a game.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will make tea. For all x, if x makes tea, then x is running. Can we infer the following from them? Answer yes or no: There is no x for which x will go running.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no v for which v is a mechanic. For all v, if v were a mechanic, then v is an artist. Can we infer the following from them? Answer yes or no: There is no v for which v is an artist.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z for which z will sleep. For all z, if z sleeps, then z is a taxi driver. Can we infer the following from them? Answer yes or no: There is no z for which z is a taxi driver.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y is an electrician. For all y, if y were an electrician, then y is fast. Can we infer the following from them? Answer yes or no: There is no y for which y is fast.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is an astronaut. For all x, if x were an astronaut, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is no x for which x will play tennis.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will drink water. For all x, if x drinks water, then x is an astronaut. Can we infer the following from them? Answer yes or no: There is no x for which x is an astronaut.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v, if v sleeps, then v is playing a game. There is no v for which v will sleep. Can we infer the following from them? Answer yes or no: There is no v for which v will play a game.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x sleeps, then x is drinking water. There is no x for which x will sleep. Can we infer the following from them? Answer yes or no: There is no x for which x will drink water.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all u, if u reads a book, then u is a soldier. There is no u for which u will read a book. Can we infer the following from them? Answer yes or no: There is no u for which u is a soldier.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is a doctor. For all x, if x were a doctor, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is no x for which x will write a letter.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no u for which u will go running. For all u, if u goes running, then u is an electrician. Can we infer the following from them? Answer yes or no: There is no u for which u is an electrician.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is excited. For all x, if x were excited, then x is poor. Can we infer the following from them? Answer yes or no: There is no x for which x is poor.",no
predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will go running. For all x, if x goes running, then x is an artist. Can we infer the following from them? Answer yes or no: There is no x for which x is an artist.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all w_2, if w_2 were a politician, then w_2 is working. There is at least one w_2 for which w_2 will work. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is a politician.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u is a police officer. There is at least one u for which if u plays a game, then u is a police officer. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play a game.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v_2 for which if v_2 were an office clerk, then v_2 is making tea. For all v_2, v_2 will make tea. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is an office clerk.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v_2 for which if v_2 were a nurse, then v_2 is fast. For all v_2, v_2 is fast. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a nurse.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x_1 for which x_1 will read a book. For all x_1, if x_1 were sad, then x_1 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is sad.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u is a cashier. There is at least one u for which if u plays tennis, then u is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play tennis.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all y, if y sleeps, then y is bored. There is at least one y for which y is bored. Can we infer the following from them? Answer yes or no: There is at least one y for which y will sleep.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all v_2, v_2 is happy. There is at least one v_2 for which if v_2 were a politician, then v_2 is happy. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a politician.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, z is a police officer. There is at least one z for which if z sleeps, then z is a police officer. Can we infer the following from them? Answer yes or no: There is at least one z for which z will sleep.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, x is a soldier. There is at least one x for which if x were a writer, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one w for which w is a janitor. For all w, if w climbs a mountain, then w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, x is a scientist. There is at least one x for which if x were an artist, then x is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an artist.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all y_4, y_4 is a poet. There is at least one y_4 for which if y_4 were curious, then y_4 is a poet. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is curious.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which if u were poor, then u is sleeping. For all u, u will sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u is poor.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one z_4 for which if z_4 were poor, then z_4 is sleeping. For all z_4, z_4 will sleep. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is poor.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z_4, z_4 is a writer. There is at least one z_4 for which if z_4 were an astronaut, then z_4 is a writer. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is an astronaut.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, if z were a taxi driver, then z is cooking. There is at least one z for which z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a taxi driver.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which u will sleep. For all u, if u were rich, then u is sleeping. Can we infer the following from them? Answer yes or no: There is at least one u for which u is rich.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u_4 for which if u_4 works, then u_4 is a politician. For all u_4, u_4 is a politician. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will work.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x for which x will play tennis. For all x, if x were a writer, then x is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all w, if w were curious, then w is a politician. There is at least one w for which w is a politician. Can we infer the following from them? Answer yes or no: There is at least one w for which w is curious.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u will cook. There is at least one u for which if u were sad, then u is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which u is sad.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x_1 for which x_1 will play a game. For all x_1, if x_1 plays squash, then x_1 is playing a game. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will play squash.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which u will cook. For all u, if u writes a letter, then u is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which u will write a letter.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one y for which y will play squash. For all y, if y were a lawyer, then y is playing squash. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a lawyer.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x_1, if x_1 were a cashier, then x_1 is playing a game. There is at least one x_1 for which x_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is a cashier.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all w_2, if w_2 were a taxi driver, then w_2 is bored. There is at least one w_2 for which w_2 is bored. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is a taxi driver.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u_4 for which if u_4 were a cashier, then u_4 is a taxi driver. For all u_4, u_4 is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is a cashier.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u_4, u_4 will work. There is at least one u_4 for which if u_4 goes running, then u_4 is working. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will go running.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v for which v is a janitor. For all v, if v reads a book, then v is a janitor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will read a book.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u will listen to a song. There is at least one u for which if u makes tea, then u is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one u for which u will make tea.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one w for which w will play a game. For all w, if w drinks water, then w is playing a game. Can we infer the following from them? Answer yes or no: There is at least one w for which w will drink water.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v for which v will read a book. For all v, if v sleeps, then v is reading a book. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u_4, u_4 will work. There is at least one u_4 for which if u_4 were a poet, then u_4 is working. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is a poet.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, if u were an astronaut, then u is taking a plane. There is at least one u for which u will take a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which u is an astronaut.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x for which x is a bartender. For all x, if x writes a letter, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one w for which w will play squash. For all w, if w plays a game, then w is playing squash. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play a game.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all v_2, v_2 is a police officer. There is at least one v_2 for which if v_2 listens to a song, then v_2 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 will listen to a song.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which if u were a poet, then u is a sailor. For all u, u is a sailor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a poet.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u_4 for which if u_4 takes a plane, then u_4 is playing a game. For all u_4, u_4 will play a game. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will take a plane.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, x will drive a car. There is at least one x for which if x were poor, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u will sleep. There is at least one u for which if u were a soldier, then u is sleeping. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a soldier.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which if u sleeps, then u is driving a car. For all u, u will drive a car. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v for which v is a server. For all v, if v were a taxi driver, then v is a server. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a taxi driver.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one v_2 for which if v_2 were a sailor, then v_2 is playing tennis. For all v_2, v_2 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which v_2 is a sailor.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all y, if y cooks, then y is sleeping. There is at least one y for which y will sleep. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, if z drinks water, then z is a writer. There is at least one z for which z is a writer. Can we infer the following from them? Answer yes or no: There is at least one z for which z will drink water.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u_4, u_4 is a soldier. There is at least one u_4 for which if u_4 were a poet, then u_4 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is a poet.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z_4, z_4 is sad. There is at least one z_4 for which if z_4 writes a letter, then z_4 is sad. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 will write a letter.",no
predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x for which x will take a plane. For all x, if x were a mechanic, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Elisabeth is playing tennis. For all u_2, if u_2 reads a book, then u_2 is playing tennis. Can we infer the following from them? Answer yes or no: Elisabeth is reading a book.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 drinks water, then z_3 is making tea. Robert is making tea. Can we infer the following from them? Answer yes or no: Robert is drinking water.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y, if y were an artist, then y is a doctor. Richard is a doctor. Can we infer the following from them? Answer yes or no: Richard is an artist.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Thomas is climbing a mountain. For all v_2, if v_2 works, then v_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: Thomas is working.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: John is working. For all y, if y were excited, then y is working. Can we infer the following from them? Answer yes or no: John is excited.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were a bartender, then v_2 is cooking. Karen is cooking. Can we infer the following from them? Answer yes or no: Karen is a bartender.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Patricia is an electrician. For all v_2, if v_2 plays a game, then v_2 is an electrician. Can we infer the following from them? Answer yes or no: Patricia is playing a game.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Karen is sleeping. For all x, if x were bored, then x is sleeping. Can we infer the following from them? Answer yes or no: Karen is bored.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were a scientist, then v_2 is reading a book. Charles is reading a book. Can we infer the following from them? Answer yes or no: Charles is a scientist.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Mary is listening to a song. For all x, if x plays tennis, then x is listening to a song. Can we infer the following from them? Answer yes or no: Mary is playing tennis.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Patricia is a scientist. For all z_3, if z_3 were a politician, then z_3 is a scientist. Can we infer the following from them? Answer yes or no: Patricia is a politician.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were a carpenter, then v_2 is a scientist. Richard is a scientist. Can we infer the following from them? Answer yes or no: Richard is a carpenter.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all x, if x were poor, then x is cooking. Charles is cooking. Can we infer the following from them? Answer yes or no: Charles is poor.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: David is cooking. For all z_4, if z_4 goes running, then z_4 is cooking. Can we infer the following from them? Answer yes or no: David is running.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Elisabeth is a nurse. For all y, if y were an artist, then y is a nurse. Can we infer the following from them? Answer yes or no: Elisabeth is an artist.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Mary is a bartender. For all y, if y were excited, then y is a bartender. Can we infer the following from them? Answer yes or no: Mary is excited.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were an artist, then v_2 is a bartender. Sarah is a bartender. Can we infer the following from them? Answer yes or no: Sarah is an artist.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: John is driving a car. For all u_2, if u_2 were an artist, then u_2 is driving a car. Can we infer the following from them? Answer yes or no: John is an artist.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Linda is taking a plane. For all y, if y were bored, then y is taking a plane. Can we infer the following from them? Answer yes or no: Linda is bored.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all x, if x were a writer, then x is an artist. Jennifer is an artist. Can we infer the following from them? Answer yes or no: Jennifer is a writer.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 takes a plane, then v_2 is a scientist. David is a scientist. Can we infer the following from them? Answer yes or no: David is taking a plane.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 listens to a song, then z_3 is working. James is working. Can we infer the following from them? Answer yes or no: James is listening to a song.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Elisabeth is driving a car. For all u_2, if u_2 were a poet, then u_2 is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is a poet.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y, if y were a server, then y is playing squash. Michael is playing squash. Can we infer the following from them? Answer yes or no: Michael is a server.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all u_2, if u_2 were an office clerk, then u_2 is cooking. Richard is cooking. Can we infer the following from them? Answer yes or no: Richard is an office clerk.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 takes a plane, then z_3 is bored. Thomas is bored. Can we infer the following from them? Answer yes or no: Thomas is taking a plane.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Jennifer is happy. For all y, if y cooks, then y is happy. Can we infer the following from them? Answer yes or no: Jennifer is cooking.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Patricia is a lawyer. For all u_2, if u_2 plays tennis, then u_2 is a lawyer. Can we infer the following from them? Answer yes or no: Patricia is playing tennis.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: William is writing a letter. For all z_4, if z_4 takes a plane, then z_4 is writing a letter. Can we infer the following from them? Answer yes or no: William is taking a plane.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_4, if z_4 takes a plane, then z_4 is making tea. Barbara is making tea. Can we infer the following from them? Answer yes or no: Barbara is taking a plane.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Richard is playing squash. For all u_2, if u_2 were bored, then u_2 is playing squash. Can we infer the following from them? Answer yes or no: Richard is bored.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all x, if x were a sailor, then x is sleeping. Richard is sleeping. Can we infer the following from them? Answer yes or no: Richard is a sailor.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Robert is a politician. For all v_2, if v_2 plays tennis, then v_2 is a politician. Can we infer the following from them? Answer yes or no: Robert is playing tennis.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Susan is playing squash. For all y, if y were curious, then y is playing squash. Can we infer the following from them? Answer yes or no: Susan is curious.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y, if y were a lawyer, then y is taking a plane. Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Barbara is a lawyer.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: William is sad. For all z_3, if z_3 were a poet, then z_3 is sad. Can we infer the following from them? Answer yes or no: William is a poet.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were a musician, then v_2 is playing tennis. Susan is playing tennis. Can we infer the following from them? Answer yes or no: Susan is a musician.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Mary is a sailor. For all z_3, if z_3 were poor, then z_3 is a sailor. Can we infer the following from them? Answer yes or no: Mary is poor.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y, if y were a poet, then y is a musician. James is a musician. Can we infer the following from them? Answer yes or no: James is a poet.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Charles is playing a game. For all z_3, if z_3 were fast, then z_3 is playing a game. Can we infer the following from them? Answer yes or no: Charles is fast.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: James is working. For all z_4, if z_4 plays a game, then z_4 is working. Can we infer the following from them? Answer yes or no: James is playing a game.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Sarah is taking a plane. For all y, if y were a taxi driver, then y is taking a plane. Can we infer the following from them? Answer yes or no: Sarah is a taxi driver.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all u_2, if u_2 reads a book, then u_2 is running. Joseph is running. Can we infer the following from them? Answer yes or no: Joseph is reading a book.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Mary is playing squash. For all y, if y were an astronaut, then y is playing squash. Can we infer the following from them? Answer yes or no: Mary is an astronaut.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 were a nurse, then z_3 is a scientist. Linda is a scientist. Can we infer the following from them? Answer yes or no: Linda is a nurse.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all x, if x were a writer, then x is a nurse. Robert is a nurse. Can we infer the following from them? Answer yes or no: Robert is a writer.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Michael is a cashier. For all x, if x were a mechanic, then x is a cashier. Can we infer the following from them? Answer yes or no: Michael is a mechanic.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 makes tea, then v_2 is writing a letter. Joseph is writing a letter. Can we infer the following from them? Answer yes or no: Joseph is making tea.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v_2, if v_2 were a nurse, then v_2 is a lawyer. Barbara is a lawyer. Can we infer the following from them? Answer yes or no: Barbara is a nurse.",no
predicate,fallacy,undistributed middle,inference,"Consider the following premises: Joseph is making tea. For all v_2, if v_2 were a cashier, then v_2 is making tea. Can we infer the following from them? Answer yes or no: Joseph is a cashier.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is curious. For all u_2, u_2 is curious or u_2 is fast. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is fast.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 will go running or u_2 will play tennis. For all u_2, u_2 will go running. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will play tennis.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will sleep or w will play tennis. For all w, w will sleep. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z_1, z_1 is curious. For all z_1, z_1 is curious or z_1 is a police officer. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is a police officer.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 is a musician. For all w_1, w_1 is a musician or w_1 will go running. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will go running.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z will play squash. For all z, z will play squash or z will take a plane. Can we infer the following from them? Answer yes or no: For all z, z will take a plane.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z will take a plane or z will play tennis. For all z, z will take a plane. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z is poor or z will make tea. For all z, z is poor. Can we infer the following from them? Answer yes or no: For all z, z will make tea.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 is a taxi driver. For all w_1, w_1 is a taxi driver or w_1 is a politician. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is a politician.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will read a book or x will sleep. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will write a letter or w is an electrician. For all w, w will write a letter. Can we infer the following from them? Answer yes or no: For all w, w is an electrician.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will cook or x will play squash. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is an electrician or x will work. For all x, x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z will drive a car or z will play tennis. For all z, z will drive a car. Can we infer the following from them? Answer yes or no: For all z, z will play tennis.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will go running. For all x, x will go running or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will drink water. For all x, x will drink water or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will read a book or x is a politician. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is excited or u_2 will make tea. For all u_2, u_2 is excited. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will make tea.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z is sad. For all z, z is sad or z is a taxi driver. Can we infer the following from them? Answer yes or no: For all z, z is a taxi driver.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 is a scientist. For all w_1, w_1 is a scientist or w_1 is an artist. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is an artist.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z_1, z_1 will cook. For all z_1, z_1 will cook or z_1 is rich. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is rich.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will read a book or w will play tennis. For all w, w will read a book. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 is a taxi driver. For all w_1, w_1 is a taxi driver or w_1 will take a plane. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will take a plane.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is an astronaut or u_2 will read a book. For all u_2, u_2 is an astronaut. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will read a book.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will read a book. For all x, x will read a book or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will cook or x will take a plane. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is a police officer. For all x, x is a police officer or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z will play squash or z will drive a car. For all z, z will play squash. Can we infer the following from them? Answer yes or no: For all z, z will drive a car.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z_1, z_1 will read a book. For all z_1, z_1 will read a book or z_1 is a doctor. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is a doctor.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will make tea or w is excited. For all w, w will make tea. Can we infer the following from them? Answer yes or no: For all w, w is excited.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z is an artist or z is a lawyer. For all z, z is an artist. Can we infer the following from them? Answer yes or no: For all z, z is a lawyer.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is a scientist or x will play squash. For all x, x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will climb a mountain or w is a server. For all w, w will climb a mountain. Can we infer the following from them? Answer yes or no: For all w, w is a server.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will play a game. For all x, x will play a game or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 will cook. For all w_1, w_1 will cook or w_1 is a bartender. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is a bartender.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will work. For all x, x will work or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will make tea or w is curious. For all w, w will make tea. Can we infer the following from them? Answer yes or no: For all w, w is curious.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will write a letter or x is a soldier. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is a bartender or u_2 is sad. For all u_2, u_2 is a bartender. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is sad.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is a writer or x will go running. For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w_1, w_1 will drive a car. For all w_1, w_1 will drive a car or w_1 is excited. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is excited.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z_1, z_1 is bored. For all z_1, z_1 is bored or z_1 is a mechanic. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is a mechanic.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is bored or x will play squash. For all x, x is bored. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will take a plane. For all x, x will take a plane or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is poor or x is a politician. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is a sailor. For all u_2, u_2 is a sailor or u_2 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will climb a mountain.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all z, z will play a game. For all z, z will play a game or z will climb a mountain. Can we infer the following from them? Answer yes or no: For all z, z will climb a mountain.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will drink water or w will play a game. For all w, w will drink water. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w is a mechanic. For all w, w is a mechanic or w is a scientist. Can we infer the following from them? Answer yes or no: For all w, w is a scientist.",no
predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_2, u_2 is a server or u_2 is an artist. For all u_2, u_2 is a server. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is an artist.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x_1, x_1 is not a nurse. For all x_1, if x_1 were a nurse, then x_1 is listening to a song. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not listen to a song.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not a bartender. For all x, if x were a bartender, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, if u reads a book, then u is a cashier. For all u, u will not read a book. Can we infer the following from them? Answer yes or no: For all u, u is not a cashier.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not a scientist. For all z, if z were a scientist, then z is a mechanic. Can we infer the following from them? Answer yes or no: For all z, z is not a mechanic.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y_3, if y_3 listens to a song, then y_3 is a writer. For all y_3, y_3 will not listen to a song. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is not a writer.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all w_3, w_3 will not cook. For all w_3, if w_3 cooks, then w_3 is excited. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not excited.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not a server. For all z, if z were a server, then z is making tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z will not go running. For all z, if z goes running, then z is sleeping. Can we infer the following from them? Answer yes or no: For all z, z will not sleep.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, if x were a police officer, then x is running. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, if x goes running, then x is taking a plane. For all x, x will not go running. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, u is not a poet. For all u, if u were a poet, then u is making tea. Can we infer the following from them? Answer yes or no: For all u, u will not make tea.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not a lawyer. For all z, if z were a lawyer, then z is sleeping. Can we infer the following from them? Answer yes or no: For all z, z will not sleep.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z goes running, then z is drinking water. For all z, z will not go running. Can we infer the following from them? Answer yes or no: For all z, z will not drink water.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y_3, if y_3 were excited, then y_3 is working. For all y_3, y_3 is not excited. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will not work.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z plays squash, then z is climbing a mountain. For all z, z will not play squash. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, z_1 is not a doctor. For all z_1, if z_1 were a doctor, then z_1 is a cashier. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a cashier.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were a doctor, then z_1 is sad. For all z_1, z_1 is not a doctor. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not sad.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x_1, if x_1 writes a letter, then x_1 is a server. For all x_1, x_1 will not write a letter. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not a server.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were a mechanic, then z_1 is making tea. For all z_1, z_1 is not a mechanic. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not make tea.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all w_3, w_3 will not write a letter. For all w_3, if w_3 writes a letter, then w_3 is listening to a song. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not listen to a song.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, u is not a sailor. For all u, if u were a sailor, then u is driving a car. Can we infer the following from them? Answer yes or no: For all u, u will not drive a car.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x_1, if x_1 were an office clerk, then x_1 is running. For all x_1, x_1 is not an office clerk. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not go running.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were a taxi driver, then z_1 is a scientist. For all z_1, z_1 is not a taxi driver. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a scientist.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z were happy, then z is a taxi driver. For all z, z is not happy. Can we infer the following from them? Answer yes or no: For all z, z is not a taxi driver.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, z_1 will not work. For all z_1, if z_1 works, then z_1 is playing tennis. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not play tennis.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z were a server, then z is fast. For all z, z is not a server. Can we infer the following from them? Answer yes or no: For all z, z is not fast.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, u will not read a book. For all u, if u reads a book, then u is drinking water. Can we infer the following from them? Answer yes or no: For all u, u will not drink water.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were excited, then z_1 is bored. For all z_1, z_1 is not excited. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not bored.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y_3, y_3 will not play a game. For all y_3, if y_3 plays a game, then y_3 is a mechanic. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is not a mechanic.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x will not drive a car. For all x, if x drives a car, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x_1, x_1 will not drink water. For all x_1, if x_1 drinks water, then x_1 is fast. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not fast.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not a police officer. For all z, if z were a police officer, then z is an artist. Can we infer the following from them? Answer yes or no: For all z, z is not an artist.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, if u sleeps, then u is poor. For all u, u will not sleep. Can we infer the following from them? Answer yes or no: For all u, u is not poor.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, if u cooks, then u is sleeping. For all u, u will not cook. Can we infer the following from them? Answer yes or no: For all u, u will not sleep.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, if u were an office clerk, then u is a police officer. For all u, u is not an office clerk. Can we infer the following from them? Answer yes or no: For all u, u is not a police officer.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, if u were a musician, then u is playing a game. For all u, u is not a musician. Can we infer the following from them? Answer yes or no: For all u, u will not play a game.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z goes running, then z is sleeping. For all z, z will not go running. Can we infer the following from them? Answer yes or no: For all z, z will not sleep.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, if z_1 were a poet, then z_1 is writing a letter. For all z_1, z_1 is not a poet. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not write a letter.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, z_1 is not a sailor. For all z_1, if z_1 were a sailor, then z_1 is a cashier. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a cashier.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y_3, y_3 is not sad. For all y_3, if y_3 were sad, then y_3 is playing squash. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will not play squash.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not an electrician. For all x, if x were an electrician, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z plays a game, then z is driving a car. For all z, z will not play a game. Can we infer the following from them? Answer yes or no: For all z, z will not drive a car.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, u will not drink water. For all u, if u drinks water, then u is a server. Can we infer the following from them? Answer yes or no: For all u, u is not a server.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all w_3, if w_3 were a carpenter, then w_3 is listening to a song. For all w_3, w_3 is not a carpenter. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not listen to a song.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y_3, if y_3 were curious, then y_3 is driving a car. For all y_3, y_3 is not curious. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will not drive a car.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x_1, if x_1 listens to a song, then x_1 is a soldier. For all x_1, x_1 will not listen to a song. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not a soldier.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, z_1 is not a sailor. For all z_1, if z_1 were a sailor, then z_1 is sad. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not sad.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not an artist. For all z, if z were an artist, then z is sad. Can we infer the following from them? Answer yes or no: For all z, z is not sad.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all u, u is not a doctor. For all u, if u were a doctor, then u is playing tennis. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",no
predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z_1, z_1 will not play squash. For all z_1, if z_1 plays squash, then z_1 is sleeping. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not sleep.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y were poor, then y is a nurse. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were a nurse, then y is poor.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u were a cashier, then u is reading a book. Can we infer the following from them? Answer yes or no: There is at least one u for which if u reads a book, then u is a cashier.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y were fast, then y is a soldier. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were a soldier, then y is fast.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y were a police officer, then y is playing squash. Can we infer the following from them? Answer yes or no: There is at least one y for which if y plays squash, then y is a police officer.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a taxi driver, then x is cooking.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 climbs a mountain, then y_1 is an artist. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were an artist, then y_1 is climbing a mountain.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x works, then x is a server. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a server, then x is working.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x makes tea, then x is a doctor. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a doctor, then x is making tea.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y drinks water, then y is curious. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were curious, then y is drinking water.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a writer, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which if x works, then x is a writer.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which if x works, then x is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z drives a car, then z is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which if z writes a letter, then z is driving a car.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y takes a plane, then y is working. Can we infer the following from them? Answer yes or no: There is at least one y for which if y works, then y is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z were a musician, then z is making tea. Can we infer the following from them? Answer yes or no: There is at least one z for which if z makes tea, then z is a musician.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 were a carpenter, then y_1 is a police officer. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were a police officer, then y_1 is a carpenter.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a server, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a bartender, then x is a server.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y were a poet, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one y for which if y climbs a mountain, then y is a poet.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which if x climbs a mountain, then x is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a politician, then x is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a lawyer, then x is a politician.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z climbs a mountain, then z is playing a game. Can we infer the following from them? Answer yes or no: There is at least one z for which if z plays a game, then z is climbing a mountain.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 were an artist, then y_1 is working. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 works, then y_1 is an artist.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 works, then y_1 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 reads a book, then y_1 is working.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y drives a car, then y is working. Can we infer the following from them? Answer yes or no: There is at least one y for which if y works, then y is driving a car.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z writes a letter, then z is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z for which if z takes a plane, then z is writing a letter.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which if x plays squash, then x is cooking.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y takes a plane, then y is playing squash. Can we infer the following from them? Answer yes or no: There is at least one y for which if y plays squash, then y is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 climbs a mountain, then y_1 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 takes a plane, then y_1 is climbing a mountain.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u plays a game, then u is driving a car. Can we infer the following from them? Answer yes or no: There is at least one u for which if u drives a car, then u is playing a game.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 were fast, then y_1 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were a nurse, then y_1 is fast.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were an office clerk, then x is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a police officer, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a bartender, then x is a police officer.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x drinks water, then x is cooking. Can we infer the following from them? Answer yes or no: There is at least one x for which if x cooks, then x is drinking water.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u were a musician, then u is happy. Can we infer the following from them? Answer yes or no: There is at least one u for which if u were happy, then u is a musician.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u were a scientist, then u is a politician. Can we infer the following from them? Answer yes or no: There is at least one u for which if u were a politician, then u is a scientist.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y for which if y were bored, then y is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one y for which if y were a taxi driver, then y is bored.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 were an electrician, then y_1 is a musician. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were a musician, then y_1 is an electrician.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u works, then u is fast. Can we infer the following from them? Answer yes or no: There is at least one u for which if u were fast, then u is working.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x reads a book, then x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were fast, then x is reading a book.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 sleeps, then y_1 is a server. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were a server, then y_1 is sleeping.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u writes a letter, then u is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one u for which if u takes a plane, then u is writing a letter.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 takes a plane, then y_1 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 plays tennis, then y_1 is taking a plane.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one y_1 for which if y_1 were a soldier, then y_1 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which if y_1 were a doctor, then y_1 is a soldier.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z were sad, then z is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were a cashier, then z is sad.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z were a bartender, then z is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were an office clerk, then z is a bartender.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which if x writes a letter, then x is a cashier.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u for which if u cooks, then u is driving a car. Can we infer the following from them? Answer yes or no: There is at least one u for which if u drives a car, then u is cooking.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x plays squash, then x is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which if x listens to a song, then x is playing squash.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z goes running, then z is playing squash. Can we infer the following from them? Answer yes or no: There is at least one z for which if z plays squash, then z is running.",no
predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were excited, then x is climbing a mountain.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u will work and the claim that u will cook cannot both be true. For all u, u will not work. Can we infer the following from them? Answer yes or no: For all u, u will cook.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will make tea and the claim that x is an astronaut cannot both be true. For all x, x will not make tea. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will write a letter and the claim that x will make tea cannot both be true. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, v is not a carpenter. For all v, the claim that v is a carpenter and the claim that v will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w_4, the claim that w_4 will work and the claim that w_4 will drive a car cannot both be true. For all w_4, w_4 will not work. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will drive a car.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a soldier and the claim that x will drive a car cannot both be true. For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will drink water and the claim that v is poor cannot both be true. For all v, v will not drink water. Can we infer the following from them? Answer yes or no: For all v, v is poor.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not curious. For all x, the claim that x is curious and the claim that x will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is fast and the claim that x will write a letter cannot both be true. For all x, x is not fast. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all y, the claim that y is a server and the claim that y is a taxi driver cannot both be true. For all y, y is not a server. Can we infer the following from them? Answer yes or no: For all y, y is a taxi driver.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, w is not a doctor. For all w, the claim that w is a doctor and the claim that w is excited cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is excited.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v is a janitor and the claim that v will climb a mountain cannot both be true. For all v, v is not a janitor. Can we infer the following from them? Answer yes or no: For all v, v will climb a mountain.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a scientist and the claim that x will cook cannot both be true. For all x, x is not a scientist. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, w will not drive a car. For all w, the claim that w will drive a car and the claim that w is a poet cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is a poet.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not a lawyer. For all x, the claim that x is a lawyer and the claim that x is curious cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w_4, the claim that w_4 will take a plane and the claim that w_4 is a carpenter cannot both be true. For all w_4, w_4 will not take a plane. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is a carpenter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x will not play a game. For all x, the claim that x will play a game and the claim that x is a police officer cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, v is not a taxi driver. For all v, the claim that v is a taxi driver and the claim that v will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v will drive a car.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will drink water and the claim that x will go running cannot both be true. For all x, x will not drink water. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, the claim that w will read a book and the claim that w will drive a car cannot both be true. For all w, w will not read a book. Can we infer the following from them? Answer yes or no: For all w, w will drive a car.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not a sailor. For all x, the claim that x is a sailor and the claim that x will cook cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u is a soldier and the claim that u will sleep cannot both be true. For all u, u is not a soldier. Can we infer the following from them? Answer yes or no: For all u, u will sleep.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will sleep and the claim that v is a soldier cannot both be true. For all v, v will not sleep. Can we infer the following from them? Answer yes or no: For all v, v is a soldier.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u will play tennis and the claim that u will play a game cannot both be true. For all u, u will not play tennis. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not an artist. For all x, the claim that x is an artist and the claim that x will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will listen to a song and the claim that x will sleep cannot both be true. For all x, x will not listen to a song. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u is not a musician. For all u, the claim that u is a musician and the claim that u will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u will write a letter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not an electrician. For all x, the claim that x is an electrician and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, w will not make tea. For all w, the claim that w will make tea and the claim that w is an electrician cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is an electrician.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, v will not play a game. For all v, the claim that v will play a game and the claim that v is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v is a lawyer.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not a lawyer. For all x, the claim that x is a lawyer and the claim that x will write a letter cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u is not an astronaut. For all u, the claim that u is an astronaut and the claim that u is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u is a mechanic.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x will not go running. For all x, the claim that x will go running and the claim that x is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w_4, w_4 is not a scientist. For all w_4, the claim that w_4 is a scientist and the claim that w_4 will drink water cannot both be true. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will drink water.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all y, the claim that y will listen to a song and the claim that y is a mechanic cannot both be true. For all y, y will not listen to a song. Can we infer the following from them? Answer yes or no: For all y, y is a mechanic.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, w will not work. For all w, the claim that w will work and the claim that w is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is an office clerk.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will write a letter and the claim that v is an astronaut cannot both be true. For all v, v will not write a letter. Can we infer the following from them? Answer yes or no: For all v, v is an astronaut.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x will not listen to a song. For all x, the claim that x will listen to a song and the claim that x is curious cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u will play a game and the claim that u is fast cannot both be true. For all u, u will not play a game. Can we infer the following from them? Answer yes or no: For all u, u is fast.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, the claim that w will work and the claim that w will climb a mountain cannot both be true. For all w, w will not work. Can we infer the following from them? Answer yes or no: For all w, w will climb a mountain.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, the claim that w is a mechanic and the claim that w will make tea cannot both be true. For all w, w is not a mechanic. Can we infer the following from them? Answer yes or no: For all w, w will make tea.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v is a police officer and the claim that v will make tea cannot both be true. For all v, v is not a police officer. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a sailor and the claim that x is a poet cannot both be true. For all x, x is not a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x will not write a letter. For all x, the claim that x will write a letter and the claim that x will work cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will work.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all w, w will not read a book. For all w, the claim that w will read a book and the claim that w is poor cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w is poor.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all y, y is not an artist. For all y, the claim that y is an artist and the claim that y is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y is a scientist.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, x is not a cashier. For all x, the claim that x is a cashier and the claim that x is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will climb a mountain and the claim that x is poor cannot both be true. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is poor.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a police officer and the claim that x will take a plane cannot both be true. For all x, x is not a police officer. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no
predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all y, y will not take a plane. For all y, the claim that y will take a plane and the claim that y will go running cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y will go running.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y will not read a book. For all y, the claim that y will read a book and the claim that y is a writer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a writer.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y is not a writer. For all y, the claim that y is a writer and the claim that y will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will drive a car.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which the claim that x will climb a mountain and the claim that x will write a letter cannot both be true. For all x, x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w for which w will not go running. For all w, the claim that w will go running and the claim that w is an electrician cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an electrician.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which the claim that x is fast and the claim that x is a lawyer cannot both be true. For all x, x is not fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a lawyer.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a sailor and the claim that x will work cannot both be true. There is at least one x for which x is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x is not a police officer. For all x, the claim that x is a police officer and the claim that x will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x will not cook. There is at least one x for which the claim that x will cook and the claim that x will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x is not a police officer. There is at least one x for which the claim that x is a police officer and the claim that x is a writer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a writer.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x is not a janitor. For all x, the claim that x is a janitor and the claim that x will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one v for which v is not a lawyer. For all v, the claim that v is a lawyer and the claim that v is an office clerk cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an office clerk.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x is not happy. There is at least one x for which the claim that x is happy and the claim that x will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will climb a mountain and the claim that x will write a letter cannot both be true. There is at least one x for which x will not climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one x for which x will write a letter.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x will not take a plane. There is at least one x for which the claim that x will take a plane and the claim that x will sleep cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which the claim that x is a soldier and the claim that x will read a book cannot both be true. For all x, x is not a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y is a sailor and the claim that y will sleep cannot both be true. There is at least one y for which y is not a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which y will sleep.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x will not play tennis. There is at least one x for which the claim that x will play tennis and the claim that x is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a soldier and the claim that x is an astronaut cannot both be true. There is at least one x for which x is not a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y will take a plane and the claim that y is a sailor cannot both be true. There is at least one y for which y will not take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a sailor.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x will not work. There is at least one x for which the claim that x will work and the claim that x will cook cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y will drink water and the claim that y will work cannot both be true. There is at least one y for which y will not drink water. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which the claim that x will write a letter and the claim that x will sleep cannot both be true. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all z, z is not bored. There is at least one z for which the claim that z is bored and the claim that z will cook cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y is not a politician. For all y, the claim that y is a politician and the claim that y is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a server.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w_2 for which w_2 will not sleep. For all w_2, the claim that w_2 will sleep and the claim that w_2 will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will play tennis.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one v for which v is not an electrician. For all v, the claim that v is an electrician and the claim that v will go running cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which v will go running.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will play tennis and the claim that v is an office clerk cannot both be true. There is at least one v for which v will not play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which v is an office clerk.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one z for which the claim that z will work and the claim that z is excited cannot both be true. For all z, z will not work. Can we infer the following from them? Answer yes or no: There is at least one z for which z is excited.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x is not a server. There is at least one x for which the claim that x is a server and the claim that x will read a book cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x will read a book.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x is not a server. For all x, the claim that x is a server and the claim that x is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a cashier.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y is not a nurse. For all y, the claim that y is a nurse and the claim that y will take a plane cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will take a plane.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which the claim that x is excited and the claim that x is a doctor cannot both be true. For all x, x is not excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a doctor.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one v for which v is not a mechanic. For all v, the claim that v is a mechanic and the claim that v will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will play squash and the claim that v will listen to a song cannot both be true. There is at least one v for which v will not play squash. Can we infer the following from them? Answer yes or no: There is at least one v for which v will listen to a song.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y is a mechanic and the claim that y is a lawyer cannot both be true. There is at least one y for which y is not a mechanic. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a lawyer.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all w_4, w_4 will not cook. There is at least one w_4 for which the claim that w_4 will cook and the claim that w_4 is rich cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is rich.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all w_2, the claim that w_2 will make tea and the claim that w_2 is curious cannot both be true. There is at least one w_2 for which w_2 will not make tea. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is curious.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w for which w is not a sailor. For all w, the claim that w is a sailor and the claim that w will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w_4 for which the claim that w_4 is an office clerk and the claim that w_4 is a cashier cannot both be true. For all w_4, w_4 is not an office clerk. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a cashier.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one z for which the claim that z will drive a car and the claim that z will work cannot both be true. For all z, z will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one z for which z will work.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y is poor and the claim that y will read a book cannot both be true. There is at least one y for which y is not poor. Can we infer the following from them? Answer yes or no: There is at least one y for which y will read a book.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x will not go running. For all x, the claim that x will go running and the claim that x is curious cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is curious.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, x is not sad. There is at least one x for which the claim that x is sad and the claim that x is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y will not work. For all y, the claim that y will work and the claim that y will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y will not take a plane. For all y, the claim that y will take a plane and the claim that y will work cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w_4 for which the claim that w_4 is a doctor and the claim that w_4 will work cannot both be true. For all w_4, w_4 is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 will work.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y will write a letter and the claim that y will climb a mountain cannot both be true. There is at least one y for which y will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y will climb a mountain.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all y, the claim that y is an artist and the claim that y is an electrician cannot both be true. There is at least one y for which y is not an artist. Can we infer the following from them? Answer yes or no: There is at least one y for which y is an electrician.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one z for which the claim that z is a poet and the claim that z will take a plane cannot both be true. For all z, z is not a poet. Can we infer the following from them? Answer yes or no: There is at least one z for which z will take a plane.",no
predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one y for which y will not play squash. For all y, the claim that y will play squash and the claim that y is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a scientist.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 were excited, then y_3 is an office clerk. There is at least one y_3 for which y_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is excited.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w were a taxi driver, then w is climbing a mountain. There is at least one w for which w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a taxi driver.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all u_4, if u_4 were a poet, then u_4 is a janitor. There is at least one u_4 for which u_4 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is a poet.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is an office clerk. For all x, if x were a police officer, then x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a police officer.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were happy, then x is a politician. There is at least one x for which x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is happy.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all u_4, if u_4 were a sailor, then u_4 is making tea. There is at least one u_4 for which u_4 will make tea. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is a sailor.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w cooks, then w is climbing a mountain. There is at least one w for which w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w will cook.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x works, then x is running. There is at least one x for which x will go running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x listens to a song, then x is drinking water. There is at least one x for which x will drink water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 takes a plane, then y_3 is working. There is at least one y_3 for which y_3 will work. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will take a plane.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w were a lawyer, then w is drinking water. There is at least one w for which w will drink water. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a lawyer.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 were a doctor, then y_3 is climbing a mountain. There is at least one y_3 for which y_3 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a doctor.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one u_4 for which u_4 will read a book. For all u_4, if u_4 listens to a song, then u_4 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will listen to a song.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x cooks, then x is a nurse. There is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x for which x will cook.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one w for which w is an artist. For all w, if w climbs a mountain, then w is an artist. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is an electrician. For all x, if x plays tennis, then x is an electrician. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play tennis.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 makes tea, then y_3 is an office clerk. There is at least one y_3 for which y_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will make tea.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w were a server, then w is climbing a mountain. There is at least one w for which w will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a server.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is a sailor. For all x, if x were an electrician, then x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an electrician.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will take a plane. For all x, if x works, then x is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one y_3 for which y_3 will write a letter. For all y_3, if y_3 were a nurse, then y_3 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a nurse.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were a politician, then x is playing a game. There is at least one x for which x will play a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w listens to a song, then w is driving a car. There is at least one w for which w will drive a car. Can we infer the following from them? Answer yes or no: There is at least one w for which w will listen to a song.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is a writer. For all x, if x were an astronaut, then x is a writer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an astronaut.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will drink water. For all x, if x drives a car, then x is drinking water. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one v for which v is rich. For all v, if v goes running, then v is rich. Can we infer the following from them? Answer yes or no: There is at least one v for which v will go running.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one u_4 for which u_4 is excited. For all u_4, if u_4 were an electrician, then u_4 is excited. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is an electrician.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one y_3 for which y_3 is an astronaut. For all y_3, if y_3 were a cashier, then y_3 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a cashier.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will go running. For all x, if x plays a game, then x is running. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all w, if w were a soldier, then w is a poet. There is at least one w for which w is a poet. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a soldier.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x drinks water, then x is playing squash. There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x works, then x is a bartender. There is at least one x for which x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will drive a car. For all x, if x takes a plane, then x is driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will take a plane.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were rich, then x is a sailor. There is at least one x for which x is a sailor. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will work. For all x, if x were excited, then x is working. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 goes running, then y_3 is a lawyer. There is at least one y_3 for which y_3 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will go running.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were a mechanic, then x is excited. There is at least one x for which x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a mechanic.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all z, if z were a cashier, then z is reading a book. There is at least one z for which z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a cashier.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one w for which w is a nurse. For all w, if w plays a game, then w is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play a game.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were rich, then x is taking a plane. There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x plays a game, then x is working. There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play a game.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is a soldier. For all x, if x were a server, then x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a server.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all u_4, if u_4 plays tennis, then u_4 is running. There is at least one u_4 for which u_4 will go running. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will play tennis.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one w for which w will go running. For all w, if w listens to a song, then w is running. Can we infer the following from them? Answer yes or no: There is at least one w for which w will listen to a song.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 were fast, then y_3 is cooking. There is at least one y_3 for which y_3 will cook. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is fast.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all y_3, if y_3 were a lawyer, then y_3 is happy. There is at least one y_3 for which y_3 is happy. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is a lawyer.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one z for which z is a soldier. For all z, if z plays squash, then z is a soldier. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were poor, then x is working. There is at least one x for which x will work. Can we infer the following from them? Answer yes or no: There is at least one x for which x is poor.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one w for which w is a doctor. For all w, if w takes a plane, then w is a doctor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will take a plane.",no
predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one z for which z is a janitor. For all z, if z writes a letter, then z is a janitor. Can we infer the following from them? Answer yes or no: There is at least one z for which z will write a letter.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one w for which w will play squash. For all w, w will play squash or w is a cashier. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a cashier.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u_1 for which u_1 will make tea or u_1 is poor. For all u_1, u_1 will make tea. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is poor.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all z, z will play squash or z is a police officer. There is at least one z for which z will play squash. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a police officer.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is poor. There is at least one x for which x is poor or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is a soldier. There is at least one x for which x is a soldier or x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a politician.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a janitor or x will play squash. For all x, x is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will play squash.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is poor or x will make tea. For all x, x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will make tea.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all y, y will drink water or y is a police officer. There is at least one y for which y will drink water. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a police officer.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one v_1 for which v_1 is a musician. For all v_1, v_1 is a musician or v_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will play a game.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will take a plane or x is an office clerk. There is at least one x for which x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will play squash or x is a scientist. There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a scientist.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all w, w is a janitor or w will read a book. There is at least one w for which w is a janitor. Can we infer the following from them? Answer yes or no: There is at least one w for which w will read a book.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v, v is a doctor or v will write a letter. There is at least one v for which v is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will write a letter.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all w, w will make tea or w is a musician. There is at least one w for which w will make tea. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a musician.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a politician. For all x, x is a politician or x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a bartender.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one z for which z is a writer or z is bored. For all z, z is a writer. Can we infer the following from them? Answer yes or no: There is at least one z for which z is bored.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will take a plane. For all x, x will take a plane or x is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a carpenter.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will take a plane or x is sad. For all x, x will take a plane. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a sailor. For all x, x is a sailor or x is a poet. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a poet.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all w, w will go running or w is poor. There is at least one w for which w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w is poor.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all z, z is a mechanic. There is at least one z for which z is a mechanic or z will write a letter. Can we infer the following from them? Answer yes or no: There is at least one z for which z will write a letter.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one y for which y will sleep. For all y, y will sleep or y will play a game. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play a game.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will play squash. For all x, x will play squash or x is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one x for which x is an office clerk.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u_1 for which u_1 will cook or u_1 is an astronaut. For all u_1, u_1 will cook. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is an astronaut.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a politician. For all x, x is a politician or x will drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drive a car.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all z_2, z_2 will play a game or z_2 will go running. There is at least one z_2 for which z_2 will play a game. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will go running.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one y for which y will write a letter or y is curious. For all y, y will write a letter. Can we infer the following from them? Answer yes or no: There is at least one y for which y is curious.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one z for which z is poor. For all z, z is poor or z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which z will read a book.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one v_1 for which v_1 will write a letter. For all v_1, v_1 will write a letter or v_1 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is a soldier.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all w, w will go running or w is excited. There is at least one w for which w will go running. Can we infer the following from them? Answer yes or no: There is at least one w for which w is excited.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will play a game. There is at least one x for which x will play a game or x will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one x for which x will listen to a song.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all y, y is an electrician. There is at least one y for which y is an electrician or y is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one y for which y is an astronaut.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u_1 for which u_1 is a carpenter or u_1 will drink water. For all u_1, u_1 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will drink water.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u_1 for which u_1 is curious or u_1 will listen to a song. For all u_1, u_1 is curious. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will listen to a song.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all u_1, u_1 will work. There is at least one u_1 for which u_1 will work or u_1 will read a book. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will read a book.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will play squash or x will drink water. There is at least one x for which x will play squash. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all y, y will take a plane or y is excited. There is at least one y for which y will take a plane. Can we infer the following from them? Answer yes or no: There is at least one y for which y is excited.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is a police officer or x is fast. There is at least one x for which x is a police officer. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one z for which z will cook or z is happy. For all z, z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z is happy.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all y, y will drive a car or y will take a plane. There is at least one y for which y will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y will take a plane.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will cook. For all x, x will cook or x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is excited.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will cook. For all x, x will cook or x is fast. Can we infer the following from them? Answer yes or no: There is at least one x for which x is fast.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all z_2, z_2 is curious or z_2 is a taxi driver. There is at least one z_2 for which z_2 is curious. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a taxi driver.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a taxi driver or x is a nurse. For all x, x is a taxi driver. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one v_1 for which v_1 will read a book. For all v_1, v_1 will read a book or v_1 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is a bartender.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all u_1, u_1 is sad. There is at least one u_1 for which u_1 is sad or u_1 will cook. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will cook.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will climb a mountain. There is at least one x for which x will climb a mountain or x is a musician. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a musician.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will make tea or x is rich. For all x, x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which x is rich.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one z for which z will play squash. For all z, z will play squash or z will cook. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.",no
predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is an electrician. For all x, x is an electrician or x will sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no