diff --git "a/test.csv" "b/test.csv" new file mode 100644--- /dev/null +++ "b/test.csv" @@ -0,0 +1,5201 @@ +id,logic,rule_category,rule,problem,query,answer +1,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Elisabeth is bored nor Jessica is taking a plane. Can we infer the following from them? Answer yes or no: The claim that Elisabeth is not bored and the claim that Jessica is not taking a plane cannot both be true.,no +2,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is overcast and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not overcast nor it is not sunny.,no +3,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is sunny and the claim that Susan is playing squash cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not sunny nor Susan is not playing squash.,no +4,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is snowing nor Thomas is listening to a song. Can we infer the following from them? Answer yes or no: The claim that it is not snowing and the claim that Thomas is not listening to a song cannot both be true.,no +5,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither William is an astronaut nor Linda is an artist. Can we infer the following from them? Answer yes or no: The claim that William is not an astronaut and the claim that Linda is not an artist cannot both be true.,no +6,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Jennifer 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 Jennifer is not playing a game nor it is not snowing.,no +7,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Barbara is drinking water and the claim that Michael is cooking cannot both be true. Can we infer the following from them? Answer yes or no: Neither Barbara is not drinking water nor Michael is not cooking.,no +8,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Linda is a carpenter and the claim that Mary is drinking water cannot both be true. Can we infer the following from them? Answer yes or no: Neither Linda is not a carpenter nor Mary is not drinking water.,no +9,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Thomas is a musician and the claim that Sarah is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: Neither Thomas is not a musician nor Sarah is not a doctor.,no +10,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Elisabeth is making tea nor Elisabeth is drinking water. Can we infer the following from them? Answer yes or no: The claim that Elisabeth is not making tea and the claim that Elisabeth is not drinking water cannot both be true.,no +11,propositional,equivalent,De Morgan's laws,contradiction,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: Neither it is not snowing nor it is not cloudy.,no +12,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is snowing and the claim that it is raining cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not snowing nor it is not raining.,no +13,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Susan is an astronaut and the claim that Jennifer is running cannot both be true. Can we infer the following from them? Answer yes or no: Neither Susan is not an astronaut nor Jennifer is not running.,no +14,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is overcast nor it is cold. Can we infer the following from them? Answer yes or no: The claim that it is not overcast and the claim that it is not cold cannot both be true.,no +15,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Barbara is sleeping nor William is writing a letter. Can we infer the following from them? Answer yes or no: The claim that Barbara is not sleeping and the claim that William is not writing a letter cannot both be true.,no +16,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Charles is a soldier nor Richard is running. Can we infer the following from them? Answer yes or no: The claim that Charles is not a soldier and the claim that Richard is not running cannot both be true.,no +17,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is late and the claim that it is sunny cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not late nor it is not sunny.,no +18,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is snowing nor it is cloudy. Can we infer the following from them? Answer yes or no: The claim that it is not snowing and the claim that it is not cloudy cannot both be true.,no +19,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Mary is a doctor and the claim that Robert is drinking water cannot both be true. Can we infer the following from them? Answer yes or no: Neither Mary is not a doctor nor Robert is not drinking water.,no +20,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither it is late nor Linda is a sailor. Can we infer the following from them? Answer yes or no: The claim that it is not late and the claim that Linda is not a sailor cannot both be true.,no +21,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that it is windy and the claim that Jessica is writing a letter cannot both be true. Can we infer the following from them? Answer yes or no: Neither it is not windy nor Jessica is not writing a letter.,no +22,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Patricia is climbing a mountain nor Richard is drinking water. Can we infer the following from them? Answer yes or no: The claim that Patricia is not climbing a mountain and the claim that Richard is not drinking water cannot both be true.,no +23,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Richard 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: Neither Richard is not writing a letter nor it is not raining.,no +24,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: The claim that Patricia is a soldier and the claim that Elisabeth is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: Neither Patricia is not a soldier nor Elisabeth is not a carpenter.,no +25,propositional,equivalent,De Morgan's laws,contradiction,Consider the following premises: Neither Thomas is a soldier nor Barbara is playing squash. Can we infer the following from them? Answer yes or no: The claim that Thomas is not a soldier and the claim that Barbara is not playing squash cannot both be true.,no +26,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Richard is rich and the claim that Joseph is excited cannot both be true. Can we infer the following from them? Answer yes or no: Richard is not rich or Joseph is not excited.,yes +27,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is late 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 late or it is not raining.,yes +28,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is raining nor Elisabeth is a doctor. Can we infer the following from them? Answer yes or no: It is not raining and Elisabeth is not a doctor.,yes +29,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Susan is running nor Karen is excited. Can we infer the following from them? Answer yes or no: Susan is not running and Karen is not excited.,yes +30,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is snowing nor it is sunny. Can we infer the following from them? Answer yes or no: It is not snowing and it is not sunny.,yes +31,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Karen is a poet and the claim that Thomas is writing a letter cannot both be true. Can we infer the following from them? Answer yes or no: Karen is not a poet or Thomas is not writing a letter.,yes +32,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that David is working and the claim that Sarah is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: David is not working or Sarah is not driving a car.,yes +33,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Linda is poor nor Michael is a doctor. Can we infer the following from them? Answer yes or no: Linda is not poor and Michael is not a doctor.,yes +34,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Michael is a doctor and the claim that Michael is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: Michael is not a doctor or Michael is not a carpenter.,yes +35,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is windy and the claim that Linda is taking a plane cannot both be true. Can we infer the following from them? Answer yes or no: It is not windy or Linda is not taking a plane.,yes +36,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that Richard is a sailor and the claim that it is raining cannot both be true. Can we infer the following from them? Answer yes or no: Richard is not a sailor or it is not raining.,yes +37,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is cloudy and the claim that Charles is excited cannot both be true. Can we infer the following from them? Answer yes or no: It is not cloudy or Charles is not excited.,yes +38,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither William is excited nor it is cold. Can we infer the following from them? Answer yes or no: William is not excited and it is not cold.,yes +39,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither James is a doctor nor it is windy. Can we infer the following from them? Answer yes or no: James is not a doctor and it is not windy.,yes +40,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that James is sad and the claim that Barbara is playing squash cannot both be true. Can we infer the following from them? Answer yes or no: James is not sad or Barbara is not playing squash.,yes +41,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is snowing nor Jessica is a police officer. Can we infer the following from them? Answer yes or no: It is not snowing and Jessica is not a police officer.,yes +42,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is snowing and the claim that Mary is a poet cannot both be true. Can we infer the following from them? Answer yes or no: It is not snowing or Mary is not a poet.,yes +43,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is snowing nor it is windy. Can we infer the following from them? Answer yes or no: It is not snowing and it is not windy.,yes +44,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is cloudy and the claim that Barbara is poor cannot both be true. Can we infer the following from them? Answer yes or no: It is not cloudy or Barbara is not poor.,yes +45,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is overcast nor David is playing a game. Can we infer the following from them? Answer yes or no: It is not overcast and David is not playing a game.,yes +46,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Mary is sleeping nor Linda is taking a plane. Can we infer the following from them? Answer yes or no: Mary is not sleeping and Linda is not taking a plane.,yes +47,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: The claim that it is cloudy and the claim that it is overcast cannot both be true. Can we infer the following from them? Answer yes or no: It is not cloudy or it is not overcast.,yes +48,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Barbara is a writer nor Susan is playing a game. Can we infer the following from them? Answer yes or no: Barbara is not a writer and Susan is not playing a game.,yes +49,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither Susan is drinking water nor Patricia is playing a game. Can we infer the following from them? Answer yes or no: Susan is not drinking water and Patricia is not playing a game.,yes +50,propositional,equivalent,De Morgan's laws,inference,Consider the following premises: Neither it is raining nor Elisabeth is a server. Can we infer the following from them? Answer yes or no: It is not raining and Elisabeth is not a server.,yes +51,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Susan is running and the claim that Charles is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: Jessica is writing a letter.,no +52,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is late and the claim that Sarah is happy cannot both be true. Can we infer the following from them? Answer yes or no: It is not snowing.,no +53,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is cloudy and the claim that Mary is fast cannot both be true. Can we infer the following from them? Answer yes or no: David is not excited.,no +54,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is sunny and the claim that Michael is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: It is overcast.,no +55,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Jessica is a sailor nor it is late. Can we infer the following from them? Answer yes or no: Thomas is running.,no +56,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is windy nor it is snowing. Can we infer the following from them? Answer yes or no: Richard is a doctor.,no +57,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Patricia is climbing a mountain and the claim that Linda is a scientist cannot both be true. Can we infer the following from them? Answer yes or no: Thomas is a bartender.,no +58,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Thomas is running and the claim that Elisabeth is a doctor cannot both be true. Can we infer the following from them? Answer yes or no: It is not raining.,no +59,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Karen is cooking nor John is a scientist. Can we infer the following from them? Answer yes or no: Susan is not playing squash.,no +60,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that John is a poet and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: Jessica is not listening to a song.,no +61,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Thomas is curious and the claim that Mary is sad cannot both be true. Can we infer the following from them? Answer yes or no: It is windy.,no +62,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is raining and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: Charles is not sad.,no +63,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither John is climbing a mountain nor Sarah is sleeping. Can we infer the following from them? Answer yes or no: It is cold.,no +64,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Karen is working nor it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is not fast.,no +65,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither James is a politician nor it is sunny. Can we infer the following from them? Answer yes or no: Karen is happy.,no +66,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Linda is taking a plane nor Joseph is excited. Can we infer the following from them? Answer yes or no: William is not a soldier.,no +67,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither it is late nor it is raining. Can we infer the following from them? Answer yes or no: Jessica is not playing squash.,no +68,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Charles is a soldier nor John is curious. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +69,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is cold and the claim that it is late cannot both be true. Can we infer the following from them? Answer yes or no: Richard is not a server.,no +70,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Michael is sad and the claim that Joseph is driving a car cannot both be true. Can we infer the following from them? Answer yes or no: Thomas is a poet.,no +71,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither David is curious nor Barbara is a police officer. Can we infer the following from them? Answer yes or no: Karen is not a scientist.,no +72,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: Neither Karen is playing squash nor it is overcast. Can we infer the following from them? Answer yes or no: It is not windy.,no +73,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Linda is drinking water and the claim that Richard is playing tennis cannot both be true. Can we infer the following from them? Answer yes or no: Charles is not a cashier.,no +74,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that Michael is a poet and the claim that John is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: Jessica is playing squash.,no +75,propositional,equivalent,De Morgan's laws,unrelated,Consider the following premises: The claim that it is raining and the claim that it is cloudy cannot both be true. Can we infer the following from them? Answer yes or no: James is taking a plane.,no +76,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will drive a car or 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 no x for which x will drive a car or x is a cashier.,no +77,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will make tea or for all x, x will sleep. Can we infer the following from them? Answer yes or no: Not for all x, x will make tea or x will sleep.",no +78,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a politician or for all x, x will drink water. Can we infer the following from them? Answer yes or no: Not for all x, x is a politician or x will drink water.",no +79,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z, z is a scientist and z will play squash. Can we infer the following from them? Answer yes or no: The claim that for all z, z is a scientist and the claim that for all z, z will play squash cannot both be true.",no +80,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x_3 for which x_3 is rich or x_3 will go running. Can we infer the following from them? Answer yes or no: Neither there is at least one x_3 for which x_3 is rich nor there is at least one x_3 for which x_3 will go running.,no +81,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will drive a car or x is a taxi driver. Can we infer the following from them? Answer yes or no: Neither there is at least one x for which x will drive a car nor there is at least one x for which x is a taxi driver.,no +82,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a musician and for all x, x is a cashier. Can we infer the following from them? Answer yes or no: Not for all x, x is a musician and x is a cashier.",no +83,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will climb a mountain and x will cook. Can we infer the following from them? Answer yes or no: The claim that there is at least one x for which x will climb a mountain and the claim that there is at least one x for which x will cook cannot both be true.,no +84,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y_2 for which y_2 is an office clerk and y_2 will play squash. Can we infer the following from them? Answer yes or no: The claim that there is at least one y_2 for which y_2 is an office clerk and the claim that there is at least one y_2 for which y_2 will play squash cannot both be true.,no +85,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will listen to a song and for all x, x is happy. Can we infer the following from them? Answer yes or no: Not for all x, x will listen to a song and x is happy.",no +86,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a mechanic and x will play tennis. Can we infer the following from them? Answer yes or no: The claim that for all x, x is a mechanic and the claim that for all x, x will play tennis cannot both be true.",no +87,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x is poor or 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 no x for which x is poor or x is a politician.,no +88,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all y, y will drive a car and for all y, y will play squash. Can we infer the following from them? Answer yes or no: Not for all y, y will drive a car and y will play squash.",no +89,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one u_1 for which u_1 will go running and u_1 will make tea. Can we infer the following from them? Answer yes or no: The claim that there is at least one u_1 for which u_1 will go running and the claim that there is at least one u_1 for which u_1 will make tea cannot both be true.,no +90,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will go running and x will read a book. Can we infer the following from them? Answer yes or no: The claim that there is at least one x for which x will go running and the claim that there is at least one x for which x will read a book cannot both be true.,no +91,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one x for which x will go running or 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 no x for which x will go running or x will drive a car.,no +92,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z, z will write a letter and z will drive a car. Can we infer the following from them? Answer yes or no: The claim that for all z, z will write a letter and the claim that for all z, z will drive a car cannot both be true.",no +93,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a soldier and x will make tea. Can we infer the following from them? Answer yes or no: The claim that for all x, x is a soldier and the claim that for all x, x will make tea cannot both be true.",no +94,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is rich and x will go running. Can we infer the following from them? Answer yes or no: The claim that for all x, x is rich and the claim that for all x, x will go running cannot both be true.",no +95,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all z, z will go running and z is an artist. Can we infer the following from them? Answer yes or no: The claim that for all z, z will go running and the claim that for all z, z is an artist cannot both be true.",no +96,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is an astronaut or for all x, x will sleep. Can we infer the following from them? Answer yes or no: Not for all x, x is an astronaut or x will sleep.",no +97,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x is a lawyer and x is sad. Can we infer the following from them? Answer yes or no: The claim that for all x, x is a lawyer and the claim that for all x, x is sad cannot both be true.",no +98,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: Some musicians will work. Can we infer the following from them? Answer yes or no: The claim that there is at least one u_1 for which u_1 is a musician and the claim that there is at least one u_1 for which u_1 will work cannot both be true.,no +99,predicate,equivalent,Law of quantifier distribution,contradiction,"Consider the following premises: For all x, x will cook and x is a server. Can we infer the following from them? Answer yes or no: The claim that for all x, x will cook and the claim that for all x, x is a server cannot both be true.",no +100,predicate,equivalent,Law of quantifier distribution,contradiction,Consider the following premises: There is at least one y for which y will go running or y is a doctor. Can we infer the following from them? Answer yes or no: Neither there is at least one y for which y will go running nor there is at least one y for which y is a doctor.,no +101,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will sleep 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 sleep or there is at least one x for which x will climb a mountain.,yes +102,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one u for which u is poor or there is at least one u for which u is a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which u is poor or u is a musician.,yes +103,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will cook 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 cook and there is at least one x for which x will drive a car.,yes +104,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is a poet or 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 poet or x will write a letter.",yes +105,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will sleep and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will sleep and for all x, x is a cashier.",yes +106,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all v, v will cook and for all v, v is an office clerk. Can we infer the following from them? Answer yes or no: For all v, v will cook and v is an office clerk.",yes +107,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will play squash or 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 play squash or x will drive a car.,yes +108,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is poor or for all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is poor or x will play squash.",yes +109,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is sad or for all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is sad or x will play squash.",yes +110,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all v, v will play a game and for all v, v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will play a game and v will listen to a song.",yes +111,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will take a plane and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will take a plane and for all x, x will drink water.",yes +112,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will 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 play squash or there is at least one x for which x will drink water.,yes +113,predicate,equivalent,Law of quantifier distribution,inference,"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: For all x, x is a police officer and for all x, x is a nurse.",yes +114,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will read a book 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 will read a book or x will make tea.,yes +115,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will write a letter 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 will write a letter and there is at least one x for which x is an artist.,yes +116,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one y for which y will sleep or there is at least one y for which y is a janitor. Can we infer the following from them? Answer yes or no: There is at least one y for which y will sleep or y is a janitor.,yes +117,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is happy 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 happy or there is at least one x for which x is excited.,yes +118,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x is a mechanic 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 mechanic or there is at least one x for which x will play tennis.,yes +119,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all w_3, w_3 will go running and for all w_3, w_3 is an astronaut. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will go running and w_3 is an astronaut.",yes +120,predicate,equivalent,Law of quantifier distribution,inference,Consider the following premises: There is at least one x for which x will cook 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 will cook and there is at least one x for which x is a server.,yes +121,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 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 or there is at least one x for which x is excited.,yes +122,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x will read a book or for all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x will read a book or x will cook.",yes +123,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 make tea. Can we infer the following from them? Answer yes or no: For all x, x will play a game and x will make tea.",yes +124,predicate,equivalent,Law of quantifier distribution,inference,"Consider the following premises: For all x, x is an artist or for all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is an artist or x will go running.",yes +125,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 +126,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x is a nurse or 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 sad.",no +127,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will read a book or x is bored. Can we infer the following from them? Answer yes or no: Richard is not playing squash.,no +128,predicate,equivalent,Law of quantifier distribution,unrelated,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 rich. Can we infer the following from them? Answer yes or no: David is fast.,no +129,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will listen to a song and for all x, x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a nurse.",no +130,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x_1 for which x_1 is a sailor or x_1 is curious. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is excited.",no +131,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will take a plane or for all x, x is bored. Can we infer the following from them? Answer yes or no: Barbara is a police officer.",no +132,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all w, w will drink water and for all w, w is a cashier. Can we infer the following from them? Answer yes or no: James is not a poet.",no +133,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will drink water and x will sleep. Can we infer the following from them? Answer yes or no: Susan is playing tennis.,no +134,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: Some bartenders are carpenters. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will drive a car.",no +135,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, 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 is an astronaut.",no +136,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all v, v is bored and v is a doctor. Can we infer the following from them? Answer yes or no: William is not happy.",no +137,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song or x is rich. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +138,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x is a carpenter or x is poor. Can we infer the following from them? Answer yes or no: Mary is not an artist.,no +139,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x is a lawyer or for all x, x is fast. Can we infer the following from them? Answer yes or no: Barbara is a police officer.",no +140,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all z_2, z_2 will play a game and for all z_2, z_2 will cook. Can we infer the following from them? Answer yes or no: Susan is sleeping.",no +141,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one z_1 for which z_1 will read a book and z_1 will drive a car. Can we infer the following from them? Answer yes or no: Barbara is not an astronaut.,no +142,predicate,equivalent,Law of quantifier distribution,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: Mary is not climbing a mountain.,no +143,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one u for which u will work and u is a police officer. Can we infer the following from them? Answer yes or no: John is not drinking water.,no +144,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x is a nurse or x is an astronaut. Can we infer the following from them? Answer yes or no: Karen is not playing squash.,no +145,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one x for which x will read a book or there is at least one x for which x is a musician. Can we infer the following from them? Answer yes or no: Joseph is a police officer.,no +146,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: There is at least one x_3 for which x_3 will play squash or x_3 is sad. Can we infer the following from them? Answer yes or no: For all x_3, x_3 is a lawyer.",no +147,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all x, x will work or for all x, x will take a plane. Can we infer the following from them? Answer yes or no: Mary is a sailor.",no +148,predicate,equivalent,Law of quantifier distribution,unrelated,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 an artist. Can we infer the following from them? Answer yes or no: Jennifer is not running.,no +149,predicate,equivalent,Law of quantifier distribution,unrelated,"Consider the following premises: For all w_2, w_2 will read a book or for all w_2, w_2 is a cashier. Can we infer the following from them? Answer yes or no: Michael is not listening to a song.",no +150,predicate,equivalent,Law of quantifier distribution,unrelated,Consider the following premises: There is at least one y_1 for which y_1 is poor or there is at least one y_1 for which y_1 will listen to a song. Can we infer the following from them? Answer yes or no: Patricia is not playing a game.,no +151,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one y for which if Mary drives a car, then y is cooking. Can we infer the following from them? Answer yes or no: The fact that Mary drives a car does not imply that there is at least one y for which y will cook.",no +152,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x is a carpenter, then it is sunny. Can we infer the following from them? Answer yes or no: Not for all x, if x were a carpenter, then it is sunny.",no +153,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is overcast, 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: There is no x for which if it is overcast, then x is taking a plane.",no +154,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: For all x_1, if it rains, then x_1 is a soldier. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that for all x_1, x_1 is a soldier.",no +155,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one v for which if Karen were an astronaut, then v is curious. Can we infer the following from them? Answer yes or no: The fact that Karen were an astronaut does not imply that there is at least one v for which v is curious.",no +156,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Linda climbs a mountain, 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 Linda climbs a mountain, then u is making tea.",no +157,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if James climbs a mountain, then x is an electrician. Can we infer the following from them? Answer yes or no: The fact that James climbs a mountain does not imply that there is at least one x for which x is an electrician.",no +158,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if it is late, then x is drinking water. Can we infer the following from them? Answer yes or no: The fact that it is late does not imply that there is at least one x for which x will drink water.",no +159,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it rains, then there is at least one x_2 for which x_2 is an electrician. Can we infer the following from them? Answer yes or no: There is no x_2 for which if it rains, then x_2 is an electrician.",no +160,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one w for which w will play squash, then Robert is a lawyer. Can we infer the following from them? Answer yes or no: Not for all w, if w plays squash, then Robert is a lawyer.",no +161,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Mary were a scientist, then 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 no u for which if Mary were a scientist, then u is a lawyer.",no +162,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Sarah were an astronaut, then there is at least one v_4 for which v_4 will climb a mountain. Can we infer the following from them? Answer yes or no: There is no v_4 for which if Sarah were an astronaut, then v_4 is climbing a mountain.",no +163,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Charles reads a book, then 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 no x for which if Charles reads a book, then x is a lawyer.",no +164,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if Karen reads a book, then x is rich. Can we infer the following from them? Answer yes or no: The fact that Karen reads a book does not imply that there is at least one x for which x is rich.",no +165,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one v for which if it is windy, then v is running. 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 v for which v will go running.",no +166,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If David were poor, then for all x, x will play tennis. Can we infer the following from them? Answer yes or no: Not for all x, if David were poor, then x is playing tennis.",no +167,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Robert were an artist, then for all x, x is a doctor. Can we infer the following from them? Answer yes or no: Not for all x, if Robert were an artist, then x is a doctor.",no +168,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If there is at least one x for which x is an astronaut, then Robert is a carpenter. Can we infer the following from them? Answer yes or no: Not for all x, if x were an astronaut, then Robert is a carpenter.",no +169,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all u, u will make tea, then Jessica is an electrician. Can we infer the following from them? Answer yes or no: There is no u for which if u makes tea, then Jessica is an electrician.",no +170,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If it is sunny, 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 it is sunny, then x is sleeping.",no +171,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one v for which if Barbara were a carpenter, then v is playing squash. Can we infer the following from them? Answer yes or no: The fact that Barbara were a carpenter does not imply that there is at least one v for which v will play squash.",no +172,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all x, x is an artist, then Karen is a poet. Can we infer the following from them? Answer yes or no: There is no x for which if x were an artist, then Karen is a poet.",no +173,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If for all w_2, w_2 is a musician, then it is late. Can we infer the following from them? Answer yes or no: There is no w_2 for which if w_2 were a musician, then it is late.",no +174,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: If Charles works, then for all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: Not for all x, if Charles works, then x is climbing a mountain.",no +175,predicate,equivalent,Law of quantifier movement,contradiction,"Consider the following premises: There is at least one x for which if Barbara were a mechanic, then x is fast. Can we infer the following from them? Answer yes or no: The fact that Barbara were a mechanic does not imply that there is at least one x for which x is fast.",no +176,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x will climb a mountain, then it is overcast. 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 it is overcast.",yes +177,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Jessica were an astronaut, then x is playing tennis. Can we infer the following from them? Answer yes or no: If Jessica were an astronaut, then there is at least one x for which x will play tennis.",yes +178,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Robert takes a plane, then for all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, if Robert takes a plane, then x is writing a letter.",yes +179,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x will take a plane, then it is late. 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 it is late.",yes +180,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Karen goes running, then for all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, if Karen goes running, then x is a sailor.",yes +181,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if it is late, then x is an electrician. Can we infer the following from them? Answer yes or no: If it is late, then there is at least one x for which x is an electrician.",yes +182,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 happy. 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 is happy.",yes +183,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all y, if Jessica were excited, then y is a taxi driver. Can we infer the following from them? Answer yes or no: If Jessica were excited, then for all y, y is a taxi driver.",yes +184,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all x, if it is sunny, then x is cooking. Can we infer the following from them? Answer yes or no: If it is sunny, then for all x, x will cook.",yes +185,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if it is late, then x is a bartender. Can we infer the following from them? Answer yes or no: If it is late, then there is at least one x for which x is a bartender.",yes +186,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all x, x will play tennis, then Richard 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 plays tennis, then Richard is writing a letter.",yes +187,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all z_3, if Karen were a writer, then z_3 is writing a letter. Can we infer the following from them? Answer yes or no: If Karen were a writer, then for all z_3, z_3 will write a letter.",yes +188,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Sarah were excited, then for all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, if Sarah were excited, then x is a janitor.",yes +189,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one u_3 for which u_3 will play tennis, then Jessica is running. Can we infer the following from them? Answer yes or no: For all u_3, if u_3 plays tennis, then Jessica is running.",yes +190,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if it is cold, then x is a poet. Can we infer the following from them? Answer yes or no: If it is cold, then there is at least one x for which x is a poet.",yes +191,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: For all v, if it snows, then v is a nurse. Can we infer the following from them? Answer yes or no: If it snows, then for all v, v is a nurse.",yes +192,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If William were bored, then 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 if William were bored, then x is excited.",yes +193,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all v, v is a bartender, then it is windy. Can we infer the following from them? Answer yes or no: There is at least one v for which if v were a bartender, then it is windy.",yes +194,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If for all v, v will make tea, then Thomas is a nurse. Can we infer the following from them? Answer yes or no: There is at least one v for which if v makes tea, then Thomas is a nurse.",yes +195,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If it is windy, then 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 if it is windy, then x is an astronaut.",yes +196,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one y for which y will read a book, then James is working. Can we infer the following from them? Answer yes or no: For all y, if y reads a book, then James is working.",yes +197,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If James listens to a song, then for all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, if James listens to a song, then x is fast.",yes +198,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: There is at least one x for which if Jennifer were a mechanic, then x is an astronaut. Can we infer the following from them? Answer yes or no: If Jennifer were a mechanic, then there is at least one x for which x is an astronaut.",yes +199,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If Robert drinks water, then for all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, if Robert drinks water, then x is fast.",yes +200,predicate,equivalent,Law of quantifier movement,inference,"Consider the following premises: If there is at least one v_4 for which v_4 is excited, then it is cold. Can we infer the following from them? Answer yes or no: For all v_4, if v_4 were excited, then it is cold.",yes +201,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Michael were a taxi driver, then there is at least one u for which u will climb a mountain. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",no +202,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Sarah drives a car, then there is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: Susan is not playing squash.",no +203,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all v_1, if Patricia drinks water, then v_1 is a scientist. Can we infer the following from them? Answer yes or no: Richard is working.",no +204,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x for which if it is late, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +205,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If it is cloudy, then for all v, v will play a game. Can we infer the following from them? Answer yes or no: Patricia is a soldier.",no +206,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one x_4 for which if Linda were a cashier, then x_4 is working. Can we infer the following from them? Answer yes or no: Sarah is not an artist.",no +207,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x will drive a car, then it is snowing. Can we infer the following from them? Answer yes or no: Linda is not poor.",no +208,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all z, z will climb a mountain, then it is windy. Can we infer the following from them? Answer yes or no: Mary is not taking a plane.",no +209,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x is a bartender, then William is reading a book. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +210,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all y, if it is late, then y is cooking. Can we infer the following from them? Answer yes or no: William is making tea.",no +211,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all y_4, if John were a server, then y_4 is driving a car. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a nurse.",no +212,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all x, if it is windy, then x is a taxi driver. Can we infer the following from them? Answer yes or no: Karen is not writing a letter.",no +213,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Robert plays tennis, then 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: Mary is not a sailor.",no +214,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one u_3 for which if William cooks, then u_3 is a bartender. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will play squash.",no +215,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Robert writes a letter, then there is at least one v for which v will play tennis. Can we infer the following from them? Answer yes or no: Robert is not climbing a mountain.",no +216,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all u, if Elisabeth reads a book, then u is a soldier. Can we infer the following from them? Answer yes or no: Charles is not writing a letter.",no +217,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If Mary were a politician, then for all y, y is an astronaut. Can we infer the following from them? Answer yes or no: David is drinking water.",no +218,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one w for which if Michael climbs a mountain, then w is drinking water. Can we infer the following from them? Answer yes or no: Mary is an artist.",no +219,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all x, x will read a book, then Susan is an office clerk. Can we infer the following from them? Answer yes or no: Richard is not playing tennis.",no +220,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If for all y, y is a scientist, then Thomas is sleeping. Can we infer the following from them? Answer yes or no: Joseph is a poet.",no +221,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x is a doctor, then Linda is an astronaut. Can we infer the following from them? Answer yes or no: Robert is not sleeping.",no +222,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: If there is at least one x for which x is curious, then Susan is a scientist. Can we infer the following from them? Answer yes or no: Michael is not a janitor.",no +223,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: There is at least one y for which if it is sunny, then y is making tea. Can we infer the following from them? Answer yes or no: Thomas is running.",no +224,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all v_1, if Charles were sad, then v_1 is a politician. Can we infer the following from them? Answer yes or no: Barbara is not a server.",no +225,predicate,equivalent,Law of quantifier movement,unrelated,"Consider the following premises: For all v_1, if Elisabeth were poor, then v_1 is a scientist. Can we infer the following from them? Answer yes or no: Jessica is not reading a book.",no +226,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no y for which y is an artist. Can we infer the following from them? Answer yes or no: Not for all y, y is not an artist.",no +227,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all u_3, u_3 will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will write a letter.",no +228,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no v for which v will write a letter. Can we infer the following from them? Answer yes or no: Not for all v, v will not write a letter.",no +229,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no x for which x is fast. Can we infer the following from them? Answer yes or no: Not for all x, x is not fast.",no +230,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all u_3, u_3 is not a politician. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a politician.",no +231,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: 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: For all x, x will read a book.",no +232,predicate,equivalent,Law of quantifier negation,contradiction,"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 at least one x for which x will drink water.",no +233,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all w_1, w_1 will play tennis. Can we infer the following from them? Answer yes or no: There is no w_1 for which w_1 will not play tennis.",no +234,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no w_3 for which w_3 will drive a car. Can we infer the following from them? Answer yes or no: Not for all w_3, w_3 will not drive a car.",no +235,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: For all u, u will not sleep. Can we infer the following from them? Answer yes or no: There is at least one u for which u will sleep.",no +236,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y, y is an astronaut. Can we infer the following from them? Answer yes or no: There is no y for which y is not an astronaut.",no +237,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x will take a plane. Can we infer the following from them? Answer yes or no: There is no x for which x will not take a plane.",no +238,predicate,equivalent,Law of quantifier negation,contradiction,"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: Not for all x, x will not make tea.",no +239,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: 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 excited.",no +240,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: 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 will listen to a song.",no +241,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no u_3 for which u_3 will read a book. Can we infer the following from them? Answer yes or no: Not for all u_3, u_3 will not read a book.",no +242,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is a lawyer. Can we infer the following from them? Answer yes or no: There is no x for which x is not a lawyer.",no +243,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y, y is a nurse. Can we infer the following from them? Answer yes or no: There is no y for which y is not a nurse.",no +244,predicate,equivalent,Law of quantifier negation,contradiction,"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: For all x, x will play tennis.",no +245,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all x, x is excited. Can we infer the following from them? Answer yes or no: There is no x for which x is not excited.",no +246,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all w_1, w_1 is bored. Can we infer the following from them? Answer yes or no: There is no w_1 for which w_1 is not bored.",no +247,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 +248,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: Not for all y, y is a musician. Can we infer the following from them? Answer yes or no: There is no y for which y is not a musician.",no +249,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 +250,predicate,equivalent,Law of quantifier negation,contradiction,"Consider the following premises: There is no v for which v will work. Can we infer the following from them? Answer yes or no: Not for all v, v will not work.",no +251,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no u for which u will work. Can we infer the following from them? Answer yes or no: For all u, u will not work.",yes +252,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 +253,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is no x for which x will go running.",yes +254,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not go running. Can we infer the following from them? Answer yes or no: There is no x for which x will go running.",yes +255,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no u for which u is a carpenter. Can we infer the following from them? Answer yes or no: For all u, u is not a carpenter.",yes +256,predicate,equivalent,Law of quantifier negation,inference,"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: Not for all x, x is a musician.",yes +257,predicate,equivalent,Law of quantifier negation,inference,"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 no x for which x is a poet.",yes +258,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no u for which u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",yes +259,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all y, y is rich. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not rich.",yes +260,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all z_4, 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 not drink water.",yes +261,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all v, 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 bartender.",yes +262,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no v for which v is a police officer. Can we infer the following from them? Answer yes or no: For all v, v is not a police officer.",yes +263,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no x_2 for which x_2 will drive a car. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will not drive a car.",yes +264,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all v, 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 a musician.",yes +265,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no 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.",yes +266,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: There is no x for which x will play tennis.",yes +267,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not 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 not sleep.",yes +268,predicate,equivalent,Law of quantifier negation,inference,"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 not a taxi driver.",yes +269,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no 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 play a game.",yes +270,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no y for which y will cook. Can we infer the following from them? Answer yes or no: For all y, y will not cook.",yes +271,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is no 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.",yes +272,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not 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 climb a mountain.",yes +273,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x is not a writer. Can we infer the following from them? Answer yes or no: Not for all x, x is a writer.",yes +274,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: Not for all z_4, z_4 is a politician. 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.",yes +275,predicate,equivalent,Law of quantifier negation,inference,"Consider the following premises: There is at least one x for which x will not make tea. Can we infer the following from them? Answer yes or no: Not for all x, x will make tea.",yes +276,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: 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: For all x, x is a scientist.",no +277,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not cook. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +278,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all w_3, w_3 is a writer. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will go running.",no +279,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x is poor. Can we infer the following from them? Answer yes or no: Barbara is not listening to a song.,no +280,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no y for which y will listen to a song. Can we infer the following from them? Answer yes or no: Robert is not playing tennis.,no +281,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: Jessica is not sad.,no +282,predicate,equivalent,Law of quantifier negation,unrelated,"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 make tea.",no +283,predicate,equivalent,Law of quantifier negation,unrelated,"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: For all x, x will make tea.",no +284,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all y, y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no +285,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x will not sleep. Can we infer the following from them? Answer yes or no: Richard is a writer.",no +286,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: 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 an artist.",no +287,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: 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: William is taking a plane.,no +288,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x will play tennis. Can we infer the following from them? Answer yes or no: David is not playing a game.,no +289,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all x, x is an artist. Can we infer the following from them? Answer yes or no: Linda is working.",no +290,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is at least one x for which x will not make tea. Can we infer the following from them? Answer yes or no: Michael is driving a car.,no +291,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: There is no x for which x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no +292,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x is sad. Can we infer the following from them? Answer yes or no: Patricia is not drinking water.,no +293,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: Not for all u, u will go running. Can we infer the following from them? Answer yes or no: Sarah is a doctor.",no +294,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: Patricia is not a mechanic.,no +295,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no v_4 for which v_4 is a politician. Can we infer the following from them? Answer yes or no: Karen is not working.,no +296,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: For all x, x is rich.",no +297,predicate,equivalent,Law of quantifier negation,unrelated,"Consider the following premises: For all x, x is not an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no +298,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 will play a game.",no +299,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no z for which z will write a letter. Can we infer the following from them? Answer yes or no: Linda is not a doctor.,no +300,predicate,equivalent,Law of quantifier negation,unrelated,Consider the following premises: There is no x for which x will work. Can we infer the following from them? Answer yes or no: Elisabeth is not a nurse.,no +301,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 +302,propositional,inference,addition,contradiction,Consider the following premises: Sarah is sad. Can we infer the following from them? Answer yes or no: Sarah is not sad.,no +303,propositional,inference,addition,contradiction,Consider the following premises: Sarah is a doctor. Can we infer the following from them? Answer yes or no: Sarah is not a doctor.,no +304,propositional,inference,addition,contradiction,Consider the following premises: Barbara is rich. Can we infer the following from them? Answer yes or no: Barbara is not rich.,no +305,propositional,inference,addition,contradiction,Consider the following premises: Jessica is a nurse. Can we infer the following from them? Answer yes or no: Jessica is not a nurse.,no +306,propositional,inference,addition,contradiction,Consider the following premises: Elisabeth is running. Can we infer the following from them? Answer yes or no: Elisabeth is not running.,no +307,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 +308,propositional,inference,addition,contradiction,Consider the following premises: Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,no +309,propositional,inference,addition,contradiction,Consider the following premises: Thomas is a doctor. Can we infer the following from them? Answer yes or no: Thomas is not a doctor.,no +310,propositional,inference,addition,contradiction,Consider the following premises: James is playing tennis. Can we infer the following from them? Answer yes or no: James is not playing tennis.,no +311,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 +312,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 +313,propositional,inference,addition,contradiction,Consider the following premises: Joseph is a soldier. Can we infer the following from them? Answer yes or no: Joseph is not a soldier.,no +314,propositional,inference,addition,contradiction,Consider the following premises: Barbara is reading a book. Can we infer the following from them? Answer yes or no: Barbara is not reading a book.,no +315,propositional,inference,addition,contradiction,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no +316,propositional,inference,addition,contradiction,Consider the following premises: Charles is an electrician. Can we infer the following from them? Answer yes or no: Charles is not an electrician.,no +317,propositional,inference,addition,contradiction,Consider the following premises: Sarah is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is not writing a letter.,no +318,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 +319,propositional,inference,addition,contradiction,Consider the following premises: David is excited. Can we infer the following from them? Answer yes or no: David is not excited.,no +320,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 +321,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 +322,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 +323,propositional,inference,addition,contradiction,Consider the following premises: Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,no +324,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 +325,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 +326,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 poor.,yes +327,propositional,inference,addition,inference,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is sunny or John is a scientist.,yes +328,propositional,inference,addition,inference,Consider the following premises: William is playing tennis. Can we infer the following from them? Answer yes or no: William is playing tennis or it is cloudy.,yes +329,propositional,inference,addition,inference,Consider the following premises: David is playing a game. Can we infer the following from them? Answer yes or no: David is playing a game or it is raining.,yes +330,propositional,inference,addition,inference,Consider the following premises: Robert is driving a car. Can we infer the following from them? Answer yes or no: Robert is driving a car or Michael is a carpenter.,yes +331,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 cold.,yes +332,propositional,inference,addition,inference,Consider the following premises: Elisabeth is playing squash. Can we infer the following from them? Answer yes or no: Elisabeth is playing squash or Elisabeth is running.,yes +333,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 David is a writer.,yes +334,propositional,inference,addition,inference,Consider the following premises: Robert is a janitor. Can we infer the following from them? Answer yes or no: Robert is a janitor or Robert is a writer.,yes +335,propositional,inference,addition,inference,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is raining or Richard is driving a car.,yes +336,propositional,inference,addition,inference,Consider the following premises: John is reading a book. Can we infer the following from them? Answer yes or no: John is reading a book or it is raining.,yes +337,propositional,inference,addition,inference,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is snowing or Charles is a poet.,yes +338,propositional,inference,addition,inference,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is snowing or it is cloudy.,yes +339,propositional,inference,addition,inference,Consider the following premises: Sarah is an artist. Can we infer the following from them? Answer yes or no: Sarah is an artist or Linda is reading a book.,yes +340,propositional,inference,addition,inference,Consider the following premises: Susan is a bartender. Can we infer the following from them? Answer yes or no: Susan is a bartender or Joseph is a soldier.,yes +341,propositional,inference,addition,inference,Consider the following premises: James is an artist. Can we infer the following from them? Answer yes or no: James is an artist or Karen is a soldier.,yes +342,propositional,inference,addition,inference,Consider the following premises: Jessica is sleeping. Can we infer the following from them? Answer yes or no: Jessica is sleeping or Patricia is bored.,yes +343,propositional,inference,addition,inference,Consider the following premises: Patricia is drinking water. Can we infer the following from them? Answer yes or no: Patricia is drinking water or it is sunny.,yes +344,propositional,inference,addition,inference,Consider the following premises: Linda is a carpenter. Can we infer the following from them? Answer yes or no: Linda is a carpenter or it is cloudy.,yes +345,propositional,inference,addition,inference,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is windy or it is overcast.,yes +346,propositional,inference,addition,inference,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is raining or Linda is a writer.,yes +347,propositional,inference,addition,inference,Consider the following premises: It is windy. Can we infer the following from them? Answer yes or no: It is windy or Jessica is working.,yes +348,propositional,inference,addition,inference,Consider the following premises: Karen is running. Can we infer the following from them? Answer yes or no: Karen is running or Karen is taking a plane.,yes +349,propositional,inference,addition,inference,Consider the following premises: Jessica is a soldier. Can we infer the following from them? Answer yes or no: Jessica is a soldier or James is cooking.,yes +350,propositional,inference,addition,inference,Consider the following premises: Robert is writing a letter. Can we infer the following from them? Answer yes or no: Robert is writing a letter or Susan is taking a plane.,yes +351,propositional,inference,addition,unrelated,Consider the following premises: It is cold. Can we infer the following from them? Answer yes or no: David is not a bartender.,no +352,propositional,inference,addition,unrelated,Consider the following premises: Thomas is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is not working.,no +353,propositional,inference,addition,unrelated,Consider the following premises: Elisabeth is running. Can we infer the following from them? Answer yes or no: Patricia is drinking water.,no +354,propositional,inference,addition,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: William is a poet.,no +355,propositional,inference,addition,unrelated,Consider the following premises: Mary is an astronaut. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +356,propositional,inference,addition,unrelated,Consider the following premises: Sarah is listening to a song. Can we infer the following from them? Answer yes or no: Joseph is drinking water.,no +357,propositional,inference,addition,unrelated,Consider the following premises: James is a writer. Can we infer the following from them? Answer yes or no: It is sunny.,no +358,propositional,inference,addition,unrelated,Consider the following premises: Susan is reading a book. Can we infer the following from them? Answer yes or no: Michael is poor.,no +359,propositional,inference,addition,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: David is not drinking water.,no +360,propositional,inference,addition,unrelated,Consider the following premises: Linda is a scientist. Can we infer the following from them? Answer yes or no: It is not raining.,no +361,propositional,inference,addition,unrelated,Consider the following premises: Robert is a writer. Can we infer the following from them? Answer yes or no: John is not fast.,no +362,propositional,inference,addition,unrelated,Consider the following premises: David is rich. Can we infer the following from them? Answer yes or no: Patricia is working.,no +363,propositional,inference,addition,unrelated,Consider the following premises: William is reading a book. Can we infer the following from them? Answer yes or no: James is playing a game.,no +364,propositional,inference,addition,unrelated,Consider the following premises: Linda is bored. Can we infer the following from them? Answer yes or no: It is not late.,no +365,propositional,inference,addition,unrelated,Consider the following premises: Elisabeth is a musician. Can we infer the following from them? Answer yes or no: It is cloudy.,no +366,propositional,inference,addition,unrelated,Consider the following premises: Joseph is sleeping. Can we infer the following from them? Answer yes or no: It is not overcast.,no +367,propositional,inference,addition,unrelated,Consider the following premises: Michael is a carpenter. Can we infer the following from them? Answer yes or no: Mary is climbing a mountain.,no +368,propositional,inference,addition,unrelated,Consider the following premises: Karen is playing tennis. Can we infer the following from them? Answer yes or no: It is not windy.,no +369,propositional,inference,addition,unrelated,Consider the following premises: James is a bartender. Can we infer the following from them? Answer yes or no: Sarah is a server.,no +370,propositional,inference,addition,unrelated,Consider the following premises: Richard is drinking water. Can we infer the following from them? Answer yes or no: Michael is not curious.,no +371,propositional,inference,addition,unrelated,Consider the following premises: Patricia is a police officer. Can we infer the following from them? Answer yes or no: Thomas is not fast.,no +372,propositional,inference,addition,unrelated,Consider the following premises: Jessica is a sailor. Can we infer the following from them? Answer yes or no: Thomas is not a nurse.,no +373,propositional,inference,addition,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Karen is rich.,no +374,propositional,inference,addition,unrelated,Consider the following premises: Sarah is climbing a mountain. Can we infer the following from them? Answer yes or no: Patricia is not taking a plane.,no +375,propositional,inference,addition,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: It is not overcast.,no +376,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: William is a janitor. William is a janitor or Charles is a soldier. Can we infer the following from them? Answer yes or no: Charles is a soldier.,no +377,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Karen is climbing a mountain or Joseph is sleeping. Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is sleeping.,no +378,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is sunny or Susan is listening to a song. It is sunny. Can we infer the following from them? Answer yes or no: Susan is listening to a song.,no +379,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: David is making tea or it is sunny. David is making tea. Can we infer the following from them? Answer yes or no: It is sunny.,no +380,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Susan is a nurse or it is cloudy. Susan is a nurse. Can we infer the following from them? Answer yes or no: It is cloudy.,no +381,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is raining or it is windy. It is raining. Can we infer the following from them? Answer yes or no: It is windy.,no +382,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Linda is reading a book. Linda is reading a book or William is running. Can we infer the following from them? Answer yes or no: William is running.,no +383,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Susan is a cashier. Susan is a cashier or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no +384,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Susan is drinking water or Mary is making tea. Susan is drinking water. Can we infer the following from them? Answer yes or no: Mary is making tea.,no +385,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Elisabeth is playing squash or Susan is reading a book. Elisabeth is playing squash. Can we infer the following from them? Answer yes or no: Susan is reading a book.,no +386,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: James is writing a letter. James is writing a letter or Charles is a writer. Can we infer the following from them? Answer yes or no: Charles is a writer.,no +387,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Barbara is a police officer or Richard is playing tennis. Barbara is a police officer. Can we infer the following from them? Answer yes or no: Richard is playing tennis.,no +388,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Patricia is a police officer. Patricia is a police officer or James is a lawyer. Can we infer the following from them? Answer yes or no: James is a lawyer.,no +389,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late. It is late or Robert is a police officer. Can we infer the following from them? Answer yes or no: Robert is a police officer.,no +390,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Jennifer is a server. Jennifer is a server or John is a janitor. Can we infer the following from them? Answer yes or no: John is a janitor.,no +391,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Mary is an office clerk. Mary is an office clerk or it is cold. Can we infer the following from them? Answer yes or no: It is cold.,no +392,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: David is a scientist. David is a scientist or Robert is an office clerk. Can we infer the following from them? Answer yes or no: Robert is an office clerk.,no +393,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is raining. It is raining or Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Patricia is a mechanic.,no +394,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is late. It is late or Joseph is driving a car. Can we infer the following from them? Answer yes or no: Joseph is driving a car.,no +395,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is sunny. It is sunny or Elisabeth is a writer. Can we infer the following from them? Answer yes or no: Elisabeth is a writer.,no +396,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: David is an artist. David is an artist or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no +397,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is windy or John is an artist. It is windy. Can we infer the following from them? Answer yes or no: John is an artist.,no +398,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is snowing or it is overcast. It is snowing. Can we infer the following from them? Answer yes or no: It is overcast.,no +399,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: Susan is sleeping or Patricia is curious. Susan is sleeping. Can we infer the following from them? Answer yes or no: Patricia is curious.,no +400,propositional,fallacy,affirming a disjunct,inference,Consider the following premises: It is raining or Robert is writing a letter. It is raining. Can we infer the following from them? Answer yes or no: Robert is writing a letter.,no +401,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: David is an electrician. If it is cold, then David is an electrician. Can we infer the following from them? Answer yes or no: It is cold.",no +402,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is sunny, then Richard is poor. Richard is poor. Can we infer the following from them? Answer yes or no: It is sunny.",no +403,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Patricia is an office clerk. If John were a bartender, then Patricia is an office clerk. Can we infer the following from them? Answer yes or no: John is a bartender.",no +404,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Linda is curious. If Richard plays squash, then Linda is curious. Can we infer the following from them? Answer yes or no: Richard is playing squash.",no +405,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Sarah were excited, then it is late. It is late. Can we infer the following from them? Answer yes or no: Sarah is excited.",no +406,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Elisabeth were a sailor, then Linda is a bartender. Linda is a bartender. Can we infer the following from them? Answer yes or no: Elisabeth is a sailor.",no +407,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Susan were a sailor, then Joseph is an office clerk. Joseph is an office clerk. Can we infer the following from them? Answer yes or no: Susan is a sailor.",no +408,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Patricia is driving a car. If Joseph were a politician, then Patricia is driving a car. Can we infer the following from them? Answer yes or no: Joseph is a politician.",no +409,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is raining. If Mary reads a book, then it is raining. Can we infer the following from them? Answer yes or no: Mary is reading a book.",no +410,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Robert were fast, then Susan is curious. Susan is curious. Can we infer the following from them? Answer yes or no: Robert is fast.",no +411,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: William is rich. If Patricia were bored, then William is rich. Can we infer the following from them? Answer yes or no: Patricia is bored.",no +412,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is cold, then Richard is climbing a mountain. Richard is climbing a mountain. Can we infer the following from them? Answer yes or no: It is cold.",no +413,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is late. If Patricia climbs a mountain, then it is late. Can we infer the following from them? Answer yes or no: Patricia is climbing a mountain.",no +414,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is cloudy, then Linda is cooking. Linda is cooking. Can we infer the following from them? Answer yes or no: It is cloudy.",no +415,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is windy. If Sarah cooks, then it is windy. Can we infer the following from them? Answer yes or no: Sarah is cooking.",no +416,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Charles is making tea. If Susan cooks, then Charles is making tea. Can we infer the following from them? Answer yes or no: Susan is cooking.",no +417,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it is cloudy, then Sarah is excited. Sarah is excited. Can we infer the following from them? Answer yes or no: It is cloudy.",no +418,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is late. If it snows, then it is late. Can we infer the following from them? Answer yes or no: It is snowing.",no +419,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: Jennifer is a lawyer. If Charles drinks water, then Jennifer is a lawyer. Can we infer the following from them? Answer yes or no: Charles is drinking water.",no +420,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If William were sad, then Thomas is listening to a song. Thomas is listening to a song. Can we infer the following from them? Answer yes or no: William is sad.",no +421,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is raining. If Karen were a taxi driver, then it is raining. Can we infer the following from them? Answer yes or no: Karen is a taxi driver.",no +422,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: It is late. If it is cold, then it is late. Can we infer the following from them? Answer yes or no: It is cold.",no +423,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Robert writes a letter, then Jessica is a musician. Jessica is a musician. Can we infer the following from them? Answer yes or no: Robert is writing a letter.",no +424,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If Barbara were bored, then Karen is playing a game. Karen is playing a game. Can we infer the following from them? Answer yes or no: Barbara is bored.",no +425,propositional,fallacy,affirming the consequent,inference,"Consider the following premises: If it rains, then it is cloudy. It is cloudy. Can we infer the following from them? Answer yes or no: It is raining.",no +426,propositional,equivalent,associative laws,contradiction,Consider the following premises: Richard is a lawyer or it is raining or it is late. Can we infer the following from them? Answer yes or no: Neither Richard is a lawyer or it is raining nor it is late.,no +427,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Thomas is curious, and Barbara is a mechanic and Richard is a politician. Can we infer the following from them? Answer yes or no: The claim that Thomas is curious and Barbara is a mechanic, and the claim that Richard is a politician cannot both be true.",no +428,propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is sunny, and Linda is sad and it is windy. Can we infer the following from them? Answer yes or no: The claim that it is sunny and Linda is sad, and the claim that it is windy cannot both be true.",no +429,propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is snowing, and Elisabeth is a taxi driver and Mary is playing squash. Can we infer the following from them? Answer yes or no: The claim that it is snowing and Elisabeth is a taxi driver, and the claim that Mary is playing squash cannot both be true.",no +430,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Robert is playing tennis, and Jennifer is a lawyer and it is raining. Can we infer the following from them? Answer yes or no: The claim that Robert is playing tennis and Jennifer is a lawyer, and the claim that it is raining cannot both be true.",no +431,propositional,equivalent,associative laws,contradiction,Consider the following premises: William is a bartender or Patricia is a poet or Elisabeth is a server. Can we infer the following from them? Answer yes or no: Neither William is a bartender or Patricia is a poet nor Elisabeth is a server.,no +432,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Mary is fast, and Richard is working and Thomas is playing a game. Can we infer the following from them? Answer yes or no: The claim that Mary is fast and Richard is working, and the claim that Thomas is playing a game cannot both be true.",no +433,propositional,equivalent,associative laws,contradiction,"Consider the following premises: William is an electrician, and Susan is a scientist and Elisabeth is a taxi driver. Can we infer the following from them? Answer yes or no: The claim that William is an electrician and Susan is a scientist, and the claim that Elisabeth is a taxi driver cannot both be true.",no +434,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Robert is a janitor, and William is cooking and Susan is a poet. Can we infer the following from them? Answer yes or no: The claim that Robert is a janitor and William is cooking, and the claim that Susan is a poet cannot both be true.",no +435,propositional,equivalent,associative laws,contradiction,Consider the following premises: Elisabeth is a politician or William is climbing a mountain or Joseph is a mechanic. Can we infer the following from them? Answer yes or no: Neither Elisabeth is a politician or William is climbing a mountain nor Joseph is a mechanic.,no +436,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Richard is a soldier, and it is raining and Karen is fast. Can we infer the following from them? Answer yes or no: The claim that Richard is a soldier and it is raining, and the claim that Karen is fast cannot both be true.",no +437,propositional,equivalent,associative laws,contradiction,Consider the following premises: It is snowing or Patricia is a carpenter or Linda is listening to a song. Can we infer the following from them? Answer yes or no: Neither it is snowing or Patricia is a carpenter nor Linda is listening to a song.,no +438,propositional,equivalent,associative laws,contradiction,Consider the following premises: William is writing a letter or Susan is climbing a mountain or Sarah is reading a book. Can we infer the following from them? Answer yes or no: Neither William is writing a letter or Susan is climbing a mountain nor Sarah is reading a book.,no +439,propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is raining, and Barbara is driving a car and it is sunny. Can we infer the following from them? Answer yes or no: The claim that it is raining and Barbara is driving a car, and the claim that it is sunny cannot both be true.",no +440,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Karen is listening to a song, and it is overcast and it is raining. Can we infer the following from them? Answer yes or no: The claim that Karen is listening to a song and it is overcast, and the claim that it is raining cannot both be true.",no +441,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Richard is writing a letter, and it is raining and Thomas is drinking water. Can we infer the following from them? Answer yes or no: The claim that Richard is writing a letter and it is raining, and the claim that Thomas is drinking water cannot both be true.",no +442,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Jennifer is running, and Karen is climbing a mountain and Michael is fast. Can we infer the following from them? Answer yes or no: The claim that Jennifer is running and Karen is climbing a mountain, and the claim that Michael is fast cannot both be true.",no +443,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Karen is a bartender, and Jennifer is writing a letter and it is snowing. Can we infer the following from them? Answer yes or no: The claim that Karen is a bartender and Jennifer is writing a letter, and the claim that it is snowing cannot both be true.",no +444,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Joseph is a doctor, and Jessica is a writer and William is a lawyer. Can we infer the following from them? Answer yes or no: The claim that Joseph is a doctor and Jessica is a writer, and the claim that William is a lawyer cannot both be true.",no +445,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Karen is drinking water, and Barbara is sleeping and it is sunny. Can we infer the following from them? Answer yes or no: The claim that Karen is drinking water and Barbara is sleeping, and the claim that it is sunny cannot both be true.",no +446,propositional,equivalent,associative laws,contradiction,"Consider the following premises: Jessica is a nurse, and Richard is a sailor and Mary is a poet. Can we infer the following from them? Answer yes or no: The claim that Jessica is a nurse and Richard is a sailor, and the claim that Mary is a poet cannot both be true.",no +447,propositional,equivalent,associative laws,contradiction,Consider the following premises: Patricia is making tea or David is playing squash or Robert is a carpenter. Can we infer the following from them? Answer yes or no: Neither Patricia is making tea or David is playing squash nor Robert is a carpenter.,no +448,propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is windy, and James is reading a book and Charles is a writer. Can we infer the following from them? Answer yes or no: The claim that it is windy and James is reading a book, and the claim that Charles is a writer cannot both be true.",no +449,propositional,equivalent,associative laws,contradiction,"Consider the following premises: James is cooking, and Susan is sleeping and Mary is reading a book. Can we infer the following from them? Answer yes or no: The claim that James is cooking and Susan is sleeping, and the claim that Mary is reading a book cannot both be true.",no +450,propositional,equivalent,associative laws,contradiction,"Consider the following premises: It is sunny, and it is overcast and William is poor. Can we infer the following from them? Answer yes or no: The claim that it is sunny and it is overcast, and the claim that William is poor cannot both be true.",no +451,propositional,equivalent,associative laws,inference,"Consider the following premises: William is writing a letter, and John is reading a book and Karen is a sailor. Can we infer the following from them? Answer yes or no: William is writing a letter and John is reading a book, and Karen is a sailor.",yes +452,propositional,equivalent,associative laws,inference,"Consider the following premises: Joseph is a bartender, or it is late or it is snowing. Can we infer the following from them? Answer yes or no: Joseph is a bartender or it is late, or it is snowing.",yes +453,propositional,equivalent,associative laws,inference,"Consider the following premises: Barbara is drinking water, or Linda is a server or Linda is reading a book. Can we infer the following from them? Answer yes or no: Barbara is drinking water or Linda is a server, or Linda is reading a book.",yes +454,propositional,equivalent,associative laws,inference,"Consider the following premises: It is windy, and Patricia is fast and it is cloudy. Can we infer the following from them? Answer yes or no: It is windy and Patricia is fast, and it is cloudy.",yes +455,propositional,equivalent,associative laws,inference,"Consider the following premises: John is poor, or Richard is making tea or John is a police officer. Can we infer the following from them? Answer yes or no: John is poor or Richard is making tea, or John is a police officer.",yes +456,propositional,equivalent,associative laws,inference,"Consider the following premises: Richard is a taxi driver, or Mary is driving a car or Patricia is playing squash. Can we infer the following from them? Answer yes or no: Richard is a taxi driver or Mary is driving a car, or Patricia is playing squash.",yes +457,propositional,equivalent,associative laws,inference,"Consider the following premises: Richard is driving a car, or it is overcast or it is sunny. Can we infer the following from them? Answer yes or no: Richard is driving a car or it is overcast, or it is sunny.",yes +458,propositional,equivalent,associative laws,inference,"Consider the following premises: Mary is driving a car, and Elisabeth is drinking water and Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Mary is driving a car and Elisabeth is drinking water, and Michael is climbing a mountain.",yes +459,propositional,equivalent,associative laws,inference,"Consider the following premises: It is sunny, or Michael is listening to a song or Thomas is an office clerk. Can we infer the following from them? Answer yes or no: It is sunny or Michael is listening to a song, or Thomas is an office clerk.",yes +460,propositional,equivalent,associative laws,inference,"Consider the following premises: Robert is a scientist, and Barbara is a janitor and James is playing squash. Can we infer the following from them? Answer yes or no: Robert is a scientist and Barbara is a janitor, and James is playing squash.",yes +461,propositional,equivalent,associative laws,inference,"Consider the following premises: Sarah is a cashier, and it is late and it is raining. Can we infer the following from them? Answer yes or no: Sarah is a cashier and it is late, and it is raining.",yes +462,propositional,equivalent,associative laws,inference,"Consider the following premises: It is snowing, or Mary is taking a plane or it is cold. Can we infer the following from them? Answer yes or no: It is snowing or Mary is taking a plane, or it is cold.",yes +463,propositional,equivalent,associative laws,inference,"Consider the following premises: Michael is a carpenter, or Charles is listening to a song or Thomas is a poet. Can we infer the following from them? Answer yes or no: Michael is a carpenter or Charles is listening to a song, or Thomas is a poet.",yes +464,propositional,equivalent,associative laws,inference,"Consider the following premises: Jennifer is a poet, and it is snowing and Richard is working. Can we infer the following from them? Answer yes or no: Jennifer is a poet and it is snowing, and Richard is working.",yes +465,propositional,equivalent,associative laws,inference,"Consider the following premises: Patricia is playing tennis, or Elisabeth is a nurse or Linda is a doctor. Can we infer the following from them? Answer yes or no: Patricia is playing tennis or Elisabeth is a nurse, or Linda is a doctor.",yes +466,propositional,equivalent,associative laws,inference,"Consider the following premises: Sarah is excited, and it is raining and Patricia is an artist. Can we infer the following from them? Answer yes or no: Sarah is excited and it is raining, and Patricia is an artist.",yes +467,propositional,equivalent,associative laws,inference,"Consider the following premises: Jennifer is writing a letter, or John is happy or Karen is climbing a mountain. Can we infer the following from them? Answer yes or no: Jennifer is writing a letter or John is happy, or Karen is climbing a mountain.",yes +468,propositional,equivalent,associative laws,inference,"Consider the following premises: Charles is taking a plane, or David is writing a letter or Elisabeth is a poet. Can we infer the following from them? Answer yes or no: Charles is taking a plane or David is writing a letter, or Elisabeth is a poet.",yes +469,propositional,equivalent,associative laws,inference,"Consider the following premises: Michael is making tea, or Thomas is happy or it is cold. Can we infer the following from them? Answer yes or no: Michael is making tea or Thomas is happy, or it is cold.",yes +470,propositional,equivalent,associative laws,inference,"Consider the following premises: Sarah is sleeping, or Patricia is a mechanic or Thomas is a sailor. Can we infer the following from them? Answer yes or no: Sarah is sleeping or Patricia is a mechanic, or Thomas is a sailor.",yes +471,propositional,equivalent,associative laws,inference,"Consider the following premises: William is excited, or it is sunny or Susan is taking a plane. Can we infer the following from them? Answer yes or no: William is excited or it is sunny, or Susan is taking a plane.",yes +472,propositional,equivalent,associative laws,inference,"Consider the following premises: Patricia is reading a book, and it is windy and it is snowing. Can we infer the following from them? Answer yes or no: Patricia is reading a book and it is windy, and it is snowing.",yes +473,propositional,equivalent,associative laws,inference,"Consider the following premises: It is cold, and it is cloudy and Jennifer is taking a plane. Can we infer the following from them? Answer yes or no: It is cold and it is cloudy, and Jennifer is taking a plane.",yes +474,propositional,equivalent,associative laws,inference,"Consider the following premises: James is climbing a mountain, or Joseph is happy or William is bored. Can we infer the following from them? Answer yes or no: James is climbing a mountain or Joseph is happy, or William is bored.",yes +475,propositional,equivalent,associative laws,inference,"Consider the following premises: It is windy, or Mary is a bartender or Sarah is an office clerk. Can we infer the following from them? Answer yes or no: It is windy or Mary is a bartender, or Sarah is an office clerk.",yes +476,propositional,equivalent,associative laws,unrelated,Consider the following premises: John is drinking water or Joseph is happy or Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: John is a writer.,no +477,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is late or Charles is fast or Barbara is playing tennis. Can we infer the following from them? Answer yes or no: Linda is taking a plane.,no +478,propositional,equivalent,associative laws,unrelated,Consider the following premises: William is writing a letter and it is cold and it is sunny. Can we infer the following from them? Answer yes or no: It is snowing.,no +479,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is sunny and Elisabeth is writing a letter and Charles is a scientist. Can we infer the following from them? Answer yes or no: Charles is not a doctor.,no +480,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is windy or Joseph is fast or it is sunny. Can we infer the following from them? Answer yes or no: It is raining.,no +481,propositional,equivalent,associative laws,unrelated,Consider the following premises: Elisabeth is playing squash and it is snowing and Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Karen is sad.,no +482,propositional,equivalent,associative laws,unrelated,Consider the following premises: Michael is working and Robert is making tea and it is cold. Can we infer the following from them? Answer yes or no: Jennifer is playing tennis.,no +483,propositional,equivalent,associative laws,unrelated,Consider the following premises: David is a lawyer or it is cloudy or Mary is a poet. Can we infer the following from them? Answer yes or no: It is late.,no +484,propositional,equivalent,associative laws,unrelated,Consider the following premises: Linda is a sailor and it is snowing and Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Karen is not reading a book.,no +485,propositional,equivalent,associative laws,unrelated,Consider the following premises: Karen is happy and it is windy and Sarah is reading a book. Can we infer the following from them? Answer yes or no: It is not raining.,no +486,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is late or it is cloudy or it is overcast. Can we infer the following from them? Answer yes or no: Michael is not playing a game.,no +487,propositional,equivalent,associative laws,unrelated,Consider the following premises: Linda is listening to a song and Robert is working and it is overcast. Can we infer the following from them? Answer yes or no: Robert is not playing squash.,no +488,propositional,equivalent,associative laws,unrelated,Consider the following premises: Michael is cooking and Susan is a doctor and Michael is a police officer. Can we infer the following from them? Answer yes or no: Sarah is a server.,no +489,propositional,equivalent,associative laws,unrelated,Consider the following premises: Susan is curious and Joseph is sad and Sarah is reading a book. Can we infer the following from them? Answer yes or no: It is not late.,no +490,propositional,equivalent,associative laws,unrelated,Consider the following premises: William is driving a car and Robert is a cashier and Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: James is not an astronaut.,no +491,propositional,equivalent,associative laws,unrelated,Consider the following premises: Susan is cooking and Sarah is a politician and it is overcast. Can we infer the following from them? Answer yes or no: Barbara is not climbing a mountain.,no +492,propositional,equivalent,associative laws,unrelated,Consider the following premises: David is a bartender or Karen is climbing a mountain or it is overcast. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +493,propositional,equivalent,associative laws,unrelated,Consider the following premises: Elisabeth is running or Elisabeth is sad or Elisabeth is reading a book. Can we infer the following from them? Answer yes or no: Susan is not writing a letter.,no +494,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is windy and it is snowing and it is late. Can we infer the following from them? Answer yes or no: Robert is not sleeping.,no +495,propositional,equivalent,associative laws,unrelated,Consider the following premises: It is snowing and Michael is driving a car and John is sleeping. Can we infer the following from them? Answer yes or no: It is windy.,no +496,propositional,equivalent,associative laws,unrelated,Consider the following premises: Susan is working and Richard is sleeping and Barbara is a cashier. Can we infer the following from them? Answer yes or no: Mary is not an electrician.,no +497,propositional,equivalent,associative laws,unrelated,Consider the following premises: Jennifer is excited and William is running and it is windy. Can we infer the following from them? Answer yes or no: Michael is fast.,no +498,propositional,equivalent,associative laws,unrelated,Consider the following premises: Joseph is writing a letter or Linda is fast or John is a police officer. Can we infer the following from them? Answer yes or no: James is not reading a book.,no +499,propositional,equivalent,associative laws,unrelated,Consider the following premises: Barbara is an electrician or John is sad or Robert is happy. Can we infer the following from them? Answer yes or no: Jennifer is not a writer.,no +500,propositional,equivalent,associative laws,unrelated,Consider the following premises: William is climbing a mountain and it is late and Karen is working. Can we infer the following from them? Answer yes or no: Mary is an artist.,no +501,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Sarah is not excited. Sarah is climbing a mountain if and only if Sarah is excited. Can we infer the following from them? Answer yes or no: Sarah is climbing a mountain.,no +502,propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is not raining. It is late if and only if it is raining. Can we infer the following from them? Answer yes or no: It is late.,no +503,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Mary is a nurse if and only if Joseph is a poet. Mary is not a nurse. Can we infer the following from them? Answer yes or no: Joseph is a poet.,no +504,propositional,inference,biconditional elimination,contradiction,Consider the following premises: David is a writer if and only if Mary is fast. Can we infer the following from them? Answer yes or no: The fact that Mary were fast does not imply that David is a writer.,no +505,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Elisabeth is not a nurse. Karen is fast if and only if Elisabeth is a nurse. Can we infer the following from them? Answer yes or no: Karen is fast.,no +506,propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is cloudy if and only if William is working. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that William is working.,no +507,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Karen is not sleeping. Karen is sleeping if and only if it is raining. Can we infer the following from them? Answer yes or no: It is raining.,no +508,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Richard is rich if and only if Susan is drinking water. Richard is not rich. Can we infer the following from them? Answer yes or no: Susan is drinking water.,no +509,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Karen is not drinking water. Karen is drinking water if and only if Joseph is playing a game. Can we infer the following from them? Answer yes or no: Joseph is playing a game.,no +510,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Jessica is drinking water if and only if Jessica is a taxi driver. Can we infer the following from them? Answer yes or no: The fact that Jessica were a taxi driver does not imply that Jessica is drinking water.,no +511,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Patricia is not playing a game. Patricia is playing a game if and only if it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,no +512,propositional,inference,biconditional elimination,contradiction,Consider the following premises: William is rich if and only if John is running. Can we infer the following from them? Answer yes or no: The fact that William were rich does not imply that John is running.,no +513,propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is overcast if and only if it is snowing. It is not overcast. Can we infer the following from them? Answer yes or no: It is snowing.,no +514,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Elisabeth is an astronaut if and only if John is a cashier. Can we infer the following from them? Answer yes or no: The fact that Elisabeth were an astronaut does not imply that John is a cashier.,no +515,propositional,inference,biconditional elimination,contradiction,Consider the following premises: David is playing tennis if and only if Jessica is a bartender. Can we infer the following from them? Answer yes or no: The fact that Jessica were a bartender does not imply that David is playing tennis.,no +516,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Michael is reading a book if and only if Mary is a taxi driver. Can we infer the following from them? Answer yes or no: The fact that Mary were a taxi driver does not imply that Michael is reading a book.,no +517,propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is late if and only if Barbara is running. Can we infer the following from them? Answer yes or no: The fact that it is late does not imply that Barbara is running.,no +518,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Thomas is working if and only if Jessica is an electrician. Jessica is not an electrician. Can we infer the following from them? Answer yes or no: Thomas is working.,no +519,propositional,inference,biconditional elimination,contradiction,Consider the following premises: James is not a mechanic. Sarah is a scientist if and only if James is a mechanic. Can we infer the following from them? Answer yes or no: Sarah is a scientist.,no +520,propositional,inference,biconditional elimination,contradiction,Consider the following premises: It is cloudy if and only if it is raining. It is not raining. Can we infer the following from them? Answer yes or no: It is cloudy.,no +521,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Michael is a scientist 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 Michael is a scientist.,no +522,propositional,inference,biconditional elimination,contradiction,Consider the following premises: William is an artist if and only if Robert is poor. Robert is not poor. Can we infer the following from them? Answer yes or no: William is an artist.,no +523,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Charles is sleeping if and only if David is writing a letter. David is not writing a letter. Can we infer the following from them? Answer yes or no: Charles is sleeping.,no +524,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Linda is making tea if and only if Linda is poor. Linda is not poor. Can we infer the following from them? Answer yes or no: Linda is making tea.,no +525,propositional,inference,biconditional elimination,contradiction,Consider the following premises: Thomas is climbing a mountain if and only if it is sunny. Thomas is not climbing a mountain. Can we infer the following from them? Answer yes or no: It is sunny.,no +526,propositional,inference,biconditional elimination,inference,"Consider the following premises: John is poor if and only if it is late. Can we infer the following from them? Answer yes or no: If John were poor, then it is late.",yes +527,propositional,inference,biconditional elimination,inference,Consider the following premises: Karen is not running. Karen is running 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 +528,propositional,inference,biconditional elimination,inference,"Consider the following premises: Charles is a server if and only if it is overcast. Can we infer the following from them? Answer yes or no: If Charles were a server, then it is overcast.",yes +529,propositional,inference,biconditional elimination,inference,"Consider the following premises: Robert is excited if and only if it is late. Can we infer the following from them? Answer yes or no: If Robert were excited, then it is late.",yes +530,propositional,inference,biconditional elimination,inference,Consider the following premises: Patricia is a doctor if and only if it is cloudy. It is not cloudy. Can we infer the following from them? Answer yes or no: Patricia is not a doctor.,yes +531,propositional,inference,biconditional elimination,inference,"Consider the following premises: Thomas is an artist if and only if John is driving a car. Can we infer the following from them? Answer yes or no: If Thomas were an artist, then John is driving a car.",yes +532,propositional,inference,biconditional elimination,inference,"Consider the following premises: Susan is excited if and only if it is raining. Can we infer the following from them? Answer yes or no: If Susan were excited, then it is raining.",yes +533,propositional,inference,biconditional elimination,inference,"Consider the following premises: Patricia is writing a letter if and only if Joseph is sleeping. Can we infer the following from them? Answer yes or no: If Patricia writes a letter, then Joseph is sleeping.",yes +534,propositional,inference,biconditional elimination,inference,Consider the following premises: It is not overcast. David is poor if and only if it is overcast. Can we infer the following from them? Answer yes or no: David is not poor.,yes +535,propositional,inference,biconditional elimination,inference,Consider the following premises: It is not cold. It is cold if and only if Susan is excited. Can we infer the following from them? Answer yes or no: Susan is not excited.,yes +536,propositional,inference,biconditional elimination,inference,"Consider the following premises: Barbara is a poet if and only if it is late. Can we infer the following from them? Answer yes or no: If it is late, then Barbara is a poet.",yes +537,propositional,inference,biconditional elimination,inference,"Consider the following premises: It is sunny if and only if Karen is an artist. Can we infer the following from them? Answer yes or no: If it is sunny, then Karen is an artist.",yes +538,propositional,inference,biconditional elimination,inference,Consider the following premises: Joseph is a sailor if and only if it is snowing. Joseph is not a sailor. Can we infer the following from them? Answer yes or no: It is not snowing.,yes +539,propositional,inference,biconditional elimination,inference,"Consider the following premises: Karen is climbing a mountain if and only if Barbara is an office clerk. Can we infer the following from them? Answer yes or no: If Karen climbs a mountain, then Barbara is an office clerk.",yes +540,propositional,inference,biconditional elimination,inference,"Consider the following premises: It is overcast if and only if Jennifer is taking a plane. Can we infer the following from them? Answer yes or no: If Jennifer takes a plane, then it is overcast.",yes +541,propositional,inference,biconditional elimination,inference,"Consider the following premises: Thomas is taking a plane if and only if it is windy. Can we infer the following from them? Answer yes or no: If it is windy, then Thomas is taking a plane.",yes +542,propositional,inference,biconditional elimination,inference,Consider the following premises: Richard is a politician if and only if James is a server. James is not a server. Can we infer the following from them? Answer yes or no: Richard is not a politician.,yes +543,propositional,inference,biconditional elimination,inference,Consider the following premises: David is not playing tennis. David is playing tennis if and only if Susan is a server. Can we infer the following from them? Answer yes or no: Susan is not a server.,yes +544,propositional,inference,biconditional elimination,inference,"Consider the following premises: It is overcast if and only if David is a carpenter. Can we infer the following from them? Answer yes or no: If David were a carpenter, then it is overcast.",yes +545,propositional,inference,biconditional elimination,inference,Consider the following premises: It is not raining. It is raining if and only if it is late. Can we infer the following from them? Answer yes or no: It is not late.,yes +546,propositional,inference,biconditional elimination,inference,Consider the following premises: John is not a sailor. John is a sailor if and only if it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,yes +547,propositional,inference,biconditional elimination,inference,"Consider the following premises: Robert is excited if and only if Michael is curious. Can we infer the following from them? Answer yes or no: If Robert were excited, then Michael is curious.",yes +548,propositional,inference,biconditional elimination,inference,Consider the following premises: Linda is a carpenter if and only if Michael is a janitor. Linda is not a carpenter. Can we infer the following from them? Answer yes or no: Michael is not a janitor.,yes +549,propositional,inference,biconditional elimination,inference,Consider the following premises: It is not cloudy. It is cloudy if and only if Jennifer is working. Can we infer the following from them? Answer yes or no: Jennifer is not working.,yes +550,propositional,inference,biconditional elimination,inference,Consider the following premises: William is not drinking water. It is windy if and only if William is drinking water. Can we infer the following from them? Answer yes or no: It is not windy.,yes +551,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Mary is an office clerk if and only if Susan is a writer. Can we infer the following from them? Answer yes or no: It is snowing.,no +552,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Elisabeth is not a mechanic. Elisabeth is a mechanic if and only if Richard is fast. Can we infer the following from them? Answer yes or no: Linda is not a politician.,no +553,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Joseph is not taking a plane. Susan is climbing a mountain if and only if Joseph is taking a plane. Can we infer the following from them? Answer yes or no: It is sunny.,no +554,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Elisabeth is playing tennis if and only if Mary is writing a letter. Can we infer the following from them? Answer yes or no: It is sunny.,no +555,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Karen is a scientist if and only if it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: John is working.,no +556,propositional,inference,biconditional elimination,unrelated,Consider the following premises: William is a server if and only if Patricia is listening to a song. William is not a server. Can we infer the following from them? Answer yes or no: Robert is a taxi driver.,no +557,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Mary is not a scientist. William is a poet if and only if Mary is a scientist. Can we infer the following from them? Answer yes or no: It is cold.,no +558,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Linda is an electrician if and only if it is windy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +559,propositional,inference,biconditional elimination,unrelated,Consider the following premises: David is excited if and only if it is raining. Can we infer the following from them? Answer yes or no: Joseph is rich.,no +560,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Jennifer is curious if and only if it is windy. Can we infer the following from them? Answer yes or no: William is rich.,no +561,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Karen is running if and only if Mary is cooking. Mary is not cooking. Can we infer the following from them? Answer yes or no: Jessica is not happy.,no +562,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Charles is rich if and only if Patricia is making tea. Charles is not rich. Can we infer the following from them? Answer yes or no: It is not overcast.,no +563,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Charles is a lawyer if and only if Barbara is a musician. Can we infer the following from them? Answer yes or no: It is not late.,no +564,propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is snowing if and only if it is windy. It is not windy. Can we infer the following from them? Answer yes or no: Patricia is not an artist.,no +565,propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is not raining. Mary is playing tennis if and only if it is raining. Can we infer the following from them? Answer yes or no: It is cloudy.,no +566,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Michael is working if and only if it is late. Can we infer the following from them? Answer yes or no: It is cold.,no +567,propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is snowing if and only if Thomas is a cashier. Can we infer the following from them? Answer yes or no: Jessica is making tea.,no +568,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Thomas is not an artist. Elisabeth is an astronaut if and only if Thomas is an artist. Can we infer the following from them? Answer yes or no: It is sunny.,no +569,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Charles is climbing a mountain if and only if Michael is excited. Can we infer the following from them? Answer yes or no: Barbara is not a server.,no +570,propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is overcast if and only if Barbara is a doctor. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +571,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Richard is not taking a plane. Richard is taking a plane if and only if Linda is working. Can we infer the following from them? Answer yes or no: Jessica is a carpenter.,no +572,propositional,inference,biconditional elimination,unrelated,Consider the following premises: It is snowing if and only if it is overcast. It is not overcast. Can we infer the following from them? Answer yes or no: James is not a police officer.,no +573,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Jessica is not a police officer. Jessica is a police officer if and only if Robert is playing tennis. Can we infer the following from them? Answer yes or no: It is late.,no +574,propositional,inference,biconditional elimination,unrelated,Consider the following premises: Linda is playing a game if and only if James is a doctor. Can we infer the following from them? Answer yes or no: Linda is a server.,no +575,propositional,inference,biconditional elimination,unrelated,Consider the following premises: James is a police officer if and only if it is cold. James is not a police officer. Can we infer the following from them? Answer yes or no: Susan is a carpenter.,no +576,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is late, then it is raining. 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 raining if and only if it is late.",no +577,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Mary were an office clerk, then David is taking a plane. If David takes a plane, then Mary is an office clerk. Can we infer the following from them? Answer yes or no: It is not true that Mary is an office clerk if and only if David is taking a plane.",no +578,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is overcast, then Patricia is a server. If Patricia were a server, then it is overcast. Can we infer the following from them? Answer yes or no: It is not true that Patricia is a server if and only if it is overcast.",no +579,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is windy, then Patricia is excited. If Patricia were excited, 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 Patricia is excited.",no +580,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Sarah plays squash, then William is an office clerk. If William were an office clerk, then Sarah is playing squash. Can we infer the following from them? Answer yes or no: It is not true that William is an office clerk if and only if Sarah is playing squash.",no +581,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Karen were a server, then Karen is drinking water. If Karen drinks water, then Karen is a server. Can we infer the following from them? Answer yes or no: It is not true that Karen is drinking water if and only if Karen is a server.",no +582,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Karen takes a plane, then it is cloudy. If it is cloudy, then Karen is taking a plane. Can we infer the following from them? Answer yes or no: It is not true that it is cloudy if and only if Karen is taking a plane.",no +583,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Thomas plays squash, then Susan is playing a game. If Susan plays a game, then Thomas is playing squash. Can we infer the following from them? Answer yes or no: It is not true that Susan is playing a game if and only if Thomas is playing squash.",no +584,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Charles plays tennis, then Linda is sad. If Linda were sad, then Charles is playing tennis. Can we infer the following from them? Answer yes or no: It is not true that Charles is playing tennis if and only if Linda is sad.",no +585,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Joseph were a musician, then Charles is listening to a song. If Charles listens to a song, then Joseph is a musician. Can we infer the following from them? Answer yes or no: It is not true that Charles is listening to a song if and only if Joseph is a musician.",no +586,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If James were a taxi driver, then James is sad. If James were sad, then James is a taxi driver. Can we infer the following from them? Answer yes or no: It is not true that James is sad if and only if James is a taxi driver.",no +587,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Linda were a lawyer, then David is rich. If David were rich, then Linda is a lawyer. Can we infer the following from them? Answer yes or no: It is not true that David is rich if and only if Linda is a lawyer.",no +588,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth were an electrician, then Barbara is playing a game. If Barbara plays a game, then Elisabeth is an electrician. Can we infer the following from them? Answer yes or no: It is not true that Barbara is playing a game if and only if Elisabeth is an electrician.",no +589,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Jennifer writes a letter, then David is a lawyer. If David were a lawyer, then Jennifer is writing a letter. Can we infer the following from them? Answer yes or no: It is not true that Jennifer is writing a letter if and only if David is a lawyer.",no +590,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Sarah takes a plane, then Charles is playing a game. If Charles plays a game, then Sarah is taking a plane. Can we infer the following from them? Answer yes or no: It is not true that Sarah is taking a plane if and only if Charles is playing a game.",no +591,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is late, then Susan is a musician. If Susan were a musician, then it is late. Can we infer the following from them? Answer yes or no: It is not true that Susan is a musician if and only if it is late.",no +592,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth sleeps, then Jennifer is an artist. If Jennifer were an artist, then Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: It is not true that Jennifer is an artist if and only if Elisabeth is sleeping.",no +593,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Elisabeth writes a letter, then Richard is reading a book. If Richard reads a book, then Elisabeth is writing a letter. Can we infer the following from them? Answer yes or no: It is not true that Elisabeth is writing a letter if and only if Richard is reading a book.",no +594,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Thomas were an astronaut, then Mary is making tea. If Mary makes tea, then Thomas is an astronaut. Can we infer the following from them? Answer yes or no: It is not true that Mary is making tea if and only if Thomas is an astronaut.",no +595,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is cloudy, then Susan is excited. If Susan were excited, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not true that Susan is excited if and only if it is cloudy.",no +596,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Joseph were happy, then it is raining. If it rains, then Joseph is happy. 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 happy.",no +597,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is cold, then Susan is writing a letter. If Susan writes a letter, then it is cold. Can we infer the following from them? Answer yes or no: It is not true that Susan is writing a letter if and only if it is cold.",no +598,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If it is overcast, then Barbara is a poet. If Barbara were a poet, 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 Barbara is a poet.",no +599,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Jessica climbs a mountain, then Sarah is a sailor. If Sarah were a sailor, then Jessica is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not true that Sarah is a sailor if and only if Jessica is climbing a mountain.",no +600,propositional,inference,biconditional introduction,contradiction,"Consider the following premises: If Michael were a nurse, then William is reading a book. If William reads a book, then Michael is a nurse. Can we infer the following from them? Answer yes or no: It is not true that William is reading a book if and only if Michael is a nurse.",no +601,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it rains, then Karen is a janitor. If Karen were a janitor, then it is raining. Can we infer the following from them? Answer yes or no: It is raining if and only if Karen is a janitor.",yes +602,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Susan were a taxi driver, then Joseph is climbing a mountain. If Joseph climbs a mountain, then Susan is a taxi driver. Can we infer the following from them? Answer yes or no: Susan is a taxi driver if and only if Joseph is climbing a mountain.",yes +603,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it rains, then Jessica is a doctor. If Jessica were a doctor, then it is raining. Can we infer the following from them? Answer yes or no: Jessica is a doctor if and only if it is raining.",yes +604,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is cloudy, then Michael is playing squash. If Michael plays squash, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy if and only if Michael is playing squash.",yes +605,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it rains, then it is overcast. 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 +606,propositional,inference,biconditional introduction,inference,"Consider the following premises: If William takes a plane, then it is raining. If it rains, then William is taking a plane. Can we infer the following from them? Answer yes or no: William is taking a plane if and only if it is raining.",yes +607,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Michael were a cashier, then it is windy. If it is windy, then Michael is a cashier. Can we infer the following from them? Answer yes or no: It is windy if and only if Michael is a cashier.",yes +608,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is cold, then James is curious. If James were curious, then it is cold. Can we infer the following from them? Answer yes or no: James is curious if and only if it is cold.",yes +609,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Mary reads a book, then Joseph is fast. If Joseph were fast, then Mary is reading a book. Can we infer the following from them? Answer yes or no: Joseph is fast if and only if Mary is reading a book.",yes +610,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it is sunny, then James is reading a book. If James reads a book, then it is sunny. Can we infer the following from them? Answer yes or no: James is reading a book if and only if it is sunny.",yes +611,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Joseph were an office clerk, then it is cold. If it is cold, then Joseph is an office clerk. Can we infer the following from them? Answer yes or no: Joseph is an office clerk if and only if it is cold.",yes +612,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Michael plays squash, then Mary is making tea. If Mary makes tea, then Michael is playing squash. Can we infer the following from them? Answer yes or no: Mary is making tea if and only if Michael is playing squash.",yes +613,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Charles were fast, then Jennifer is playing a game. If Jennifer plays a game, then Charles is fast. Can we infer the following from them? Answer yes or no: Charles is fast if and only if Jennifer is playing a game.",yes +614,propositional,inference,biconditional introduction,inference,"Consider the following premises: If William drives a car, then James is playing squash. If James plays squash, then William is driving a car. Can we infer the following from them? Answer yes or no: William is driving a car if and only if James is playing squash.",yes +615,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Mary works, then Mary is playing tennis. If Mary plays tennis, then Mary is working. Can we infer the following from them? Answer yes or no: Mary is playing tennis if and only if Mary is working.",yes +616,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Susan listens to a song, then William is running. If William goes running, then Susan is listening to a song. Can we infer the following from them? Answer yes or no: William is running if and only if Susan is listening to a song.",yes +617,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Barbara goes running, then Michael is rich. If Michael were rich, then Barbara is running. Can we infer the following from them? Answer yes or no: Michael is rich if and only if Barbara is running.",yes +618,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Charles were a musician, then Barbara is working. If Barbara works, then Charles is a musician. Can we infer the following from them? Answer yes or no: Charles is a musician if and only if Barbara is working.",yes +619,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Jennifer were rich, then Barbara is making tea. If Barbara makes tea, then Jennifer is rich. Can we infer the following from them? Answer yes or no: Barbara is making tea if and only if Jennifer is rich.",yes +620,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Barbara were a bartender, then it is raining. If it rains, then Barbara is a bartender. Can we infer the following from them? Answer yes or no: It is raining if and only if Barbara is a bartender.",yes +621,propositional,inference,biconditional introduction,inference,"Consider the following premises: If David goes running, then Jessica is playing squash. If Jessica plays squash, then David is running. Can we infer the following from them? Answer yes or no: David is running if and only if Jessica is playing squash.",yes +622,propositional,inference,biconditional introduction,inference,"Consider the following premises: If it rains, then James is a janitor. If James were a janitor, then it is raining. Can we infer the following from them? Answer yes or no: James is a janitor if and only if it is raining.",yes +623,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Charles were fast, then it is cold. If it is cold, then Charles is fast. Can we infer the following from them? Answer yes or no: Charles is fast if and only if it is cold.",yes +624,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Patricia were an office clerk, then Elisabeth is a cashier. If Elisabeth were a cashier, then Patricia is an office clerk. Can we infer the following from them? Answer yes or no: Elisabeth is a cashier if and only if Patricia is an office clerk.",yes +625,propositional,inference,biconditional introduction,inference,"Consider the following premises: If Mary takes a plane, then it is cloudy. If it is cloudy, then Mary is taking a plane. Can we infer the following from them? Answer yes or no: It is cloudy if and only if Mary is taking a plane.",yes +626,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Charles were a carpenter, then Joseph is cooking. If Joseph cooks, then Charles is a carpenter. Can we infer the following from them? Answer yes or no: Charles is a carpenter.",no +627,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Jessica were a scientist, then Karen is driving a car. If Karen drives a car, then Jessica is a scientist. Can we infer the following from them? Answer yes or no: Jessica is a scientist.",no +628,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Mary writes a letter, then William is sad. If William were sad, then Mary is writing a letter. Can we infer the following from them? Answer yes or no: William is sad.",no +629,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Susan were a taxi driver, then it is overcast. If it is overcast, then Susan is a taxi driver. Can we infer the following from them? Answer yes or no: It is overcast.",no +630,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is sunny, then James is a cashier. If James were a cashier, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.",no +631,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Sarah writes a letter, then it is overcast. 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.",no +632,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Richard were a writer, then it is overcast. If it is overcast, then Richard is a writer. Can we infer the following from them? Answer yes or no: It is overcast.",no +633,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is windy, then Robert is a doctor. If Robert were a doctor, then it is windy. Can we infer the following from them? Answer yes or no: Robert is a doctor.",no +634,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Joseph were an electrician, then it is cloudy. If it is cloudy, then Joseph is an electrician. Can we infer the following from them? Answer yes or no: Joseph is an electrician.",no +635,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is windy, then James is bored. If James were bored, then it is windy. Can we infer the following from them? Answer yes or no: James is bored.",no +636,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is late, then Robert is playing squash. If Robert plays squash, then it is late. Can we infer the following from them? Answer yes or no: It is late.",no +637,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Sarah were rich, then it is windy. If it is windy, then Sarah is rich. Can we infer the following from them? Answer yes or no: It is windy.",no +638,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Michael were bored, then it is overcast. If it is overcast, then Michael is bored. Can we infer the following from them? Answer yes or no: It is overcast.",no +639,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If David plays tennis, then it is snowing. If it snows, then David is playing tennis. Can we infer the following from them? Answer yes or no: It is snowing.",no +640,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is sunny, then Thomas is fast. If Thomas were fast, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.",no +641,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Joseph cooks, then it is cloudy. If it is cloudy, then Joseph is cooking. Can we infer the following from them? Answer yes or no: Joseph is cooking.",no +642,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Barbara were a poet, then Thomas is writing a letter. If Thomas writes a letter, then Barbara is a poet. Can we infer the following from them? Answer yes or no: Thomas is writing a letter.",no +643,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Susan were a carpenter, then Richard is happy. If Richard were happy, then Susan is a carpenter. Can we infer the following from them? Answer yes or no: Richard is happy.",no +644,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If it is cloudy, then Karen is working. If Karen works, then it is cloudy. Can we infer the following from them? Answer yes or no: Karen is working.",no +645,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Linda were a doctor, then Michael is sleeping. If Michael sleeps, then Linda is a doctor. Can we infer the following from them? Answer yes or no: Michael is sleeping.",no +646,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Robert drives a car, then David is sleeping. If David sleeps, then Robert is driving a car. Can we infer the following from them? Answer yes or no: Robert is driving a car.",no +647,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If William were a mechanic, then it is cold. If it is cold, then William is a mechanic. Can we infer the following from them? Answer yes or no: It is cold.",no +648,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Elisabeth were curious, then it is snowing. If it snows, then Elisabeth is curious. Can we infer the following from them? Answer yes or no: It is snowing.",no +649,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Patricia were a scientist, then it is cold. If it is cold, then Patricia is a scientist. Can we infer the following from them? Answer yes or no: Patricia is a scientist.",no +650,propositional,inference,biconditional introduction,unrelated,"Consider the following premises: If Michael were bored, then it is late. If it is late, then Michael is bored. Can we infer the following from them? Answer yes or no: It is late.",no +651,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is overcast if and only if it is snowing. Can we infer the following from them? Answer yes or no: The claim that if it is overcast, then it is snowing and the claim that if it snows, then it is overcast cannot both be true.",no +652,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is windy, then David is a mechanic and if David were a mechanic, 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 a mechanic.",no +653,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is windy if and only if it is cloudy. Can we infer the following from them? Answer yes or no: The claim that if it is windy, then it is cloudy and the claim that if it is cloudy, then it is windy cannot both be true.",no +654,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is cloudy, then it is raining and if it rains, 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 it is raining.",no +655,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Joseph were a scientist, then it is raining and if it rains, then Joseph is a scientist. Can we infer the following from them? Answer yes or no: It is not true that Joseph is a scientist if and only if it is raining.",no +656,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Jessica is a taxi driver if and only if Linda is a soldier. Can we infer the following from them? Answer yes or no: The claim that if Jessica were a taxi driver, then Linda is a soldier and the claim that if Linda were a soldier, then Jessica is a taxi driver cannot both be true.",no +657,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If David takes a plane, then Joseph is excited and if Joseph were excited, then David is taking a plane. Can we infer the following from them? Answer yes or no: It is not true that David is taking a plane if and only if Joseph is excited.",no +658,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it rains, then Elisabeth is making tea and if Elisabeth makes tea, 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 Elisabeth is making tea.",no +659,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Michael plays squash, then it is overcast and if it is overcast, 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 it is overcast.",no +660,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Joseph were rich, then it is cloudy and if it is cloudy, then Joseph is rich. Can we infer the following from them? Answer yes or no: It is not true that Joseph is rich if and only if it is cloudy.",no +661,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is overcast, then it is snowing and if it snows, 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 snowing.",no +662,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Michael were happy, then Charles is running and if Charles goes running, then Michael is happy. Can we infer the following from them? Answer yes or no: It is not true that Michael is happy if and only if Charles is running.",no +663,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is snowing if and only if it is overcast. Can we infer the following from them? Answer yes or no: The claim that if it snows, then it is overcast and the claim that if it is overcast, then it is snowing cannot both be true.",no +664,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Mary is a politician if and only if Jennifer is a soldier. Can we infer the following from them? Answer yes or no: The claim that if Mary were a politician, then Jennifer is a soldier and the claim that if Jennifer were a soldier, then Mary is a politician cannot both be true.",no +665,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is late, then James is listening to a song and if James listens to a song, 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 James is listening to a song.",no +666,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Susan is making tea if and only if it is late. Can we infer the following from them? Answer yes or no: The claim that if Susan makes tea, then it is late and the claim that if it is late, then Susan is making tea cannot both be true.",no +667,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Mary were a sailor, then Sarah is running and if Sarah goes running, then Mary is a sailor. Can we infer the following from them? Answer yes or no: It is not true that Mary is a sailor if and only if Sarah is running.",no +668,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it is overcast, then Sarah is happy and if Sarah were happy, 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 happy.",no +669,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Michael is curious if and only if it is raining. Can we infer the following from them? Answer yes or no: The claim that if Michael were curious, then it is raining and the claim that if it rains, then Michael is curious cannot both be true.",no +670,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: Elisabeth is sleeping if and only if Linda is cooking. Can we infer the following from them? Answer yes or no: The claim that if Elisabeth sleeps, then Linda is cooking and the claim that if Linda cooks, then Elisabeth is sleeping cannot both be true.",no +671,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: William is cooking if and only if it is cloudy. Can we infer the following from them? Answer yes or no: The claim that if William cooks, then it is cloudy and the claim that if it is cloudy, then William is cooking cannot both be true.",no +672,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If it snows, then Susan is playing a game and if Susan plays a game, 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 Susan is playing a game.",no +673,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: It is windy if and only if Linda is a bartender. Can we infer the following from them? Answer yes or no: The claim that if it is windy, then Linda is a bartender and the claim that if Linda were a bartender, then it is windy cannot both be true.",no +674,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If Linda were a musician, then it is overcast and if it is overcast, then Linda is a musician. Can we infer the following from them? Answer yes or no: It is not true that Linda is a musician if and only if it is overcast.",no +675,propositional,equivalent,biconditional laws,contradiction,"Consider the following premises: If John were excited, then it is snowing and if it snows, then John is excited. Can we infer the following from them? Answer yes or no: It is not true that John is excited if and only if it is snowing.",no +676,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Mary reads a book, then it is snowing and if it snows, then Mary is reading a book. Can we infer the following from them? Answer yes or no: Mary is reading a book if and only if it is snowing.",yes +677,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is overcast, then Karen is a nurse and if Karen were a nurse, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast if and only if Karen is a nurse.",yes +678,propositional,equivalent,biconditional laws,inference,"Consider the following premises: James is a taxi driver if and only if it is cloudy. Can we infer the following from them? Answer yes or no: If James were a taxi driver, then it is cloudy and if it is cloudy, then James is a taxi driver.",yes +679,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is late if and only if Susan is a doctor. Can we infer the following from them? Answer yes or no: If it is late, then Susan is a doctor and if Susan were a doctor, then it is late.",yes +680,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is cold, then Patricia is drinking water and if Patricia drinks water, then it is cold. Can we infer the following from them? Answer yes or no: It is cold if and only if Patricia is drinking water.",yes +681,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Joseph climbs a mountain, then Linda is making tea and if Linda makes tea, then Joseph is climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is climbing a mountain if and only if Linda is making tea.",yes +682,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if Richard is an artist. Can we infer the following from them? Answer yes or no: If it rains, then Richard is an artist and if Richard were an artist, then it is raining.",yes +683,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is cold if and only if it is snowing. Can we infer the following from them? Answer yes or no: If it is cold, then it is snowing and if it snows, then it is cold.",yes +684,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is windy if and only if it is cloudy. Can we infer the following from them? Answer yes or no: If it is windy, then it is cloudy and if it is cloudy, then it is windy.",yes +685,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is cloudy, then it is overcast and if it is overcast, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy if and only if it is overcast.",yes +686,propositional,equivalent,biconditional laws,inference,"Consider the following premises: John is a carpenter if and only if Thomas is sad. Can we infer the following from them? Answer yes or no: If John were a carpenter, then Thomas is sad and if Thomas were sad, then John is a carpenter.",yes +687,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is cloudy, then it is late and if it is late, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy if and only if it is late.",yes +688,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Michael were an astronaut, then it is sunny and if it is sunny, then Michael is an astronaut. Can we infer the following from them? Answer yes or no: Michael is an astronaut if and only if it is sunny.",yes +689,propositional,equivalent,biconditional laws,inference,"Consider the following premises: David is taking a plane if and only if Richard is climbing a mountain. Can we infer the following from them? Answer yes or no: If David takes a plane, then Richard is climbing a mountain and if Richard climbs a mountain, then David is taking a plane.",yes +690,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If it is sunny, then it is raining and if it rains, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny if and only if it is raining.",yes +691,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If William were a doctor, then James is taking a plane and if James takes a plane, then William is a doctor. Can we infer the following from them? Answer yes or no: William is a doctor if and only if James is taking a plane.",yes +692,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If Robert were a taxi driver, then Richard is running and if Richard goes running, then Robert is a taxi driver. Can we infer the following from them? Answer yes or no: Robert is a taxi driver if and only if Richard is running.",yes +693,propositional,equivalent,biconditional laws,inference,"Consider the following premises: Michael is cooking if and only if it is snowing. Can we infer the following from them? Answer yes or no: If Michael cooks, then it is snowing and if it snows, then Michael is cooking.",yes +694,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if Susan is running. Can we infer the following from them? Answer yes or no: If it rains, then Susan is running and if Susan goes running, then it is raining.",yes +695,propositional,equivalent,biconditional laws,inference,"Consider the following premises: It is raining if and only if David is reading a book. Can we infer the following from them? Answer yes or no: If it rains, then David is reading a book and if David reads a book, then it is raining.",yes +696,propositional,equivalent,biconditional laws,inference,"Consider the following premises: If John goes running, then Jessica is climbing a mountain and if Jessica climbs a mountain, then John is running. Can we infer the following from them? Answer yes or no: John is running if and only if Jessica is climbing a mountain.",yes +697,propositional,equivalent,biconditional laws,inference,"Consider the following premises: Linda is playing squash if and only if it is snowing. Can we infer the following from them? Answer yes or no: If Linda plays squash, then it is snowing and if it snows, then Linda is playing squash.",yes +698,propositional,equivalent,biconditional laws,inference,"Consider the following premises: Robert is playing a game if and only if it is overcast. Can we infer the following from them? Answer yes or no: If Robert plays a game, then it is overcast and if it is overcast, then Robert is playing a game.",yes +699,propositional,equivalent,biconditional laws,inference,"Consider the following premises: Susan is playing tennis if and only if it is sunny. Can we infer the following from them? Answer yes or no: If Susan plays tennis, then it is sunny and if it is sunny, then Susan is playing tennis.",yes +700,propositional,equivalent,biconditional laws,inference,"Consider the following premises: Jessica is listening to a song if and only if Mary is drinking water. Can we infer the following from them? Answer yes or no: If Jessica listens to a song, then Mary is drinking water and if Mary drinks water, then Jessica is listening to a song.",yes +701,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Susan is cooking if and only if Barbara is a server. Can we infer the following from them? Answer yes or no: Linda is not working.,no +702,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Sarah were excited, then David is a taxi driver and if David were a taxi driver, then Sarah is excited. Can we infer the following from them? Answer yes or no: Michael is not a scientist.",no +703,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is snowing if and only if Joseph is cooking. Can we infer the following from them? Answer yes or no: It is not sunny.,no +704,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Linda were an artist, then Susan is writing a letter and if Susan writes a letter, then Linda is an artist. Can we infer the following from them? Answer yes or no: It is overcast.",no +705,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Sarah were a mechanic, then it is late and if it is late, then Sarah is a mechanic. Can we infer the following from them? Answer yes or no: Karen is not sad.",no +706,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is cold if and only if it is overcast. Can we infer the following from them? Answer yes or no: Mary is an astronaut.,no +707,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is windy, then Charles is sleeping and if Charles sleeps, then it is windy. Can we infer the following from them? Answer yes or no: Thomas is listening to a song.",no +708,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 cloudy.",no +709,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is overcast, then Charles is poor and if Charles were poor, then it is overcast. Can we infer the following from them? Answer yes or no: Joseph is not a sailor.",no +710,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Robert plays a game, then Michael is poor and if Michael were poor, then Robert is playing a game. Can we infer the following from them? Answer yes or no: Michael is a doctor.",no +711,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cold, then Thomas is a doctor and if Thomas were a doctor, then it is cold. Can we infer the following from them? Answer yes or no: Elisabeth is not listening to a song.",no +712,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Barbara is writing a letter if and only if Barbara is playing a game. Can we infer the following from them? Answer yes or no: Joseph is not listening to a song.,no +713,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is overcast if and only if Jessica is listening to a song. Can we infer the following from them? Answer yes or no: David is a soldier.,no +714,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Karen is playing tennis if and only if it is windy. Can we infer the following from them? Answer yes or no: William is curious.,no +715,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If James writes a letter, then Jennifer is running and if Jennifer goes running, then James is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is driving a car.",no +716,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Linda were sad, then it is sunny and if it is sunny, then Linda is sad. Can we infer the following from them? Answer yes or no: It is not overcast.",no +717,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: Mary is taking a plane if and only if Charles is an artist. Can we infer the following from them? Answer yes or no: Susan is not a bartender.,no +718,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Sarah were an astronaut, then it is cold and if it is cold, then Sarah is an astronaut. Can we infer the following from them? Answer yes or no: Patricia is not making tea.",no +719,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If James were excited, then Jessica is a bartender and if Jessica were a bartender, then James is excited. Can we infer the following from them? Answer yes or no: It is overcast.",no +720,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: It is raining if and only if Elisabeth is an artist. Can we infer the following from them? Answer yes or no: Robert is working.,no +721,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If it is cloudy, then James is bored and if James were bored, then it is cloudy. Can we infer the following from them? Answer yes or no: William is not an electrician.",no +722,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If Mary works, then it is cloudy and if it is cloudy, then Mary is working. Can we infer the following from them? Answer yes or no: Patricia is taking a plane.",no +723,propositional,equivalent,biconditional laws,unrelated,"Consider the following premises: If David plays tennis, then Karen is a server and if Karen were a server, then David is playing tennis. Can we infer the following from them? Answer yes or no: James is playing squash.",no +724,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: David is cooking if and only if it is cloudy. Can we infer the following from them? Answer yes or no: It is not sunny.,no +725,propositional,equivalent,biconditional laws,unrelated,Consider the following premises: David is a doctor if and only if Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: William is poor.,no +726,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Charles is reading a book and David is a cashier. Can we infer the following from them? Answer yes or no: The claim that David is a cashier and the claim that Charles is reading a book cannot both be true.,no +727,propositional,equivalent,commutative laws,contradiction,Consider the following premises: William is working and William is an office clerk. Can we infer the following from them? Answer yes or no: The claim that William is an office clerk and the claim that William is working cannot both be true.,no +728,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is a mechanic and Jennifer is working. Can we infer the following from them? Answer yes or no: The claim that Jennifer is working and the claim that Robert is a mechanic cannot both be true.,no +729,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Jessica is running and it is late. Can we infer the following from them? Answer yes or no: The claim that it is late and the claim that Jessica is running cannot both be true.,no +730,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is sunny or Barbara is playing squash. Can we infer the following from them? Answer yes or no: Neither Barbara is playing squash nor it is sunny.,no +731,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is playing squash or it is cold. Can we infer the following from them? Answer yes or no: Neither it is cold nor Robert is playing squash.,no +732,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Patricia is playing tennis and Sarah is cooking. Can we infer the following from them? Answer yes or no: The claim that Sarah is cooking and the claim that Patricia is playing tennis cannot both be true.,no +733,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Sarah is a soldier or it is windy. Can we infer the following from them? Answer yes or no: Neither it is windy nor Sarah is a soldier.,no +734,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Michael is playing squash and Sarah is writing a letter. Can we infer the following from them? Answer yes or no: The claim that Sarah is writing a letter and the claim that Michael is playing squash cannot both be true.,no +735,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is snowing or Mary is bored. Can we infer the following from them? Answer yes or no: Neither Mary is bored nor it is snowing.,no +736,propositional,equivalent,commutative laws,contradiction,Consider the following premises: John is a nurse and David is a janitor. Can we infer the following from them? Answer yes or no: The claim that David is a janitor and the claim that John is a nurse cannot both be true.,no +737,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Mary is playing squash 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 Mary is playing squash cannot both be true.,no +738,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is an electrician or Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: Neither Elisabeth is playing tennis nor Linda is an electrician.,no +739,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Richard is reading a book and Michael is curious. Can we infer the following from them? Answer yes or no: The claim that Michael is curious and the claim that Richard is reading a book cannot both be true.,no +740,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is overcast and Jessica is reading a book. Can we infer the following from them? Answer yes or no: The claim that Jessica is reading a book and the claim that it is overcast cannot both be true.,no +741,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is sunny and Jennifer is a police officer. Can we infer the following from them? Answer yes or no: The claim that Jennifer is a police officer and the claim that it is sunny cannot both be true.,no +742,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is raining and Linda is a scientist. Can we infer the following from them? Answer yes or no: The claim that Linda is a scientist and the claim that it is raining cannot both be true.,no +743,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is a bartender and Susan is a lawyer. Can we infer the following from them? Answer yes or no: The claim that Susan is a lawyer and the claim that Robert is a bartender cannot both be true.,no +744,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is cloudy and Barbara is making tea. Can we infer the following from them? Answer yes or no: The claim that Barbara is making tea and the claim that it is cloudy cannot both be true.,no +745,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Robert is sleeping and Richard is an astronaut. Can we infer the following from them? Answer yes or no: The claim that Richard is an astronaut and the claim that Robert is sleeping cannot both be true.,no +746,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Joseph is driving a car and Michael is a police officer. Can we infer the following from them? Answer yes or no: The claim that Michael is a police officer and the claim that Joseph is driving a car cannot both be true.,no +747,propositional,equivalent,commutative laws,contradiction,Consider the following premises: David is writing a letter and David is climbing a mountain. Can we infer the following from them? Answer yes or no: The claim that David is climbing a mountain and the claim that David is writing a letter cannot both be true.,no +748,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Linda is a carpenter or it is windy. Can we infer the following from them? Answer yes or no: Neither it is windy nor Linda is a carpenter.,no +749,propositional,equivalent,commutative laws,contradiction,Consider the following premises: It is snowing or Thomas is a writer. Can we infer the following from them? Answer yes or no: Neither Thomas is a writer nor it is snowing.,no +750,propositional,equivalent,commutative laws,contradiction,Consider the following premises: Sarah is a scientist or Michael is excited. Can we infer the following from them? Answer yes or no: Neither Michael is excited nor Sarah is a scientist.,no +751,propositional,equivalent,commutative laws,inference,Consider the following premises: Elisabeth is playing a game and James is rich. Can we infer the following from them? Answer yes or no: James is rich and Elisabeth is playing a game.,yes +752,propositional,equivalent,commutative laws,inference,Consider the following premises: It is windy and Linda is cooking. Can we infer the following from them? Answer yes or no: Linda is cooking and it is windy.,yes +753,propositional,equivalent,commutative laws,inference,Consider the following premises: It is snowing or Elisabeth is a carpenter. Can we infer the following from them? Answer yes or no: Elisabeth is a carpenter or it is snowing.,yes +754,propositional,equivalent,commutative laws,inference,Consider the following premises: Joseph is a carpenter or Jessica is playing squash. Can we infer the following from them? Answer yes or no: Jessica is playing squash or Joseph is a carpenter.,yes +755,propositional,equivalent,commutative laws,inference,Consider the following premises: Susan is curious and it is late. Can we infer the following from them? Answer yes or no: It is late and Susan is curious.,yes +756,propositional,equivalent,commutative laws,inference,Consider the following premises: Michael is writing a letter and David is playing tennis. Can we infer the following from them? Answer yes or no: David is playing tennis and Michael is writing a letter.,yes +757,propositional,equivalent,commutative laws,inference,Consider the following premises: Jennifer is a writer or it is cold. Can we infer the following from them? Answer yes or no: It is cold or Jennifer is a writer.,yes +758,propositional,equivalent,commutative laws,inference,Consider the following premises: Elisabeth is playing tennis or Thomas is a nurse. Can we infer the following from them? Answer yes or no: Thomas is a nurse or Elisabeth is playing tennis.,yes +759,propositional,equivalent,commutative laws,inference,Consider the following premises: Jennifer is an artist or Jessica is a nurse. Can we infer the following from them? Answer yes or no: Jessica is a nurse or Jennifer is an artist.,yes +760,propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is climbing a mountain and it is raining. Can we infer the following from them? Answer yes or no: It is raining and Jessica is climbing a mountain.,yes +761,propositional,equivalent,commutative laws,inference,Consider the following premises: Joseph is happy or Susan is a cashier. Can we infer the following from them? Answer yes or no: Susan is a cashier or Joseph is happy.,yes +762,propositional,equivalent,commutative laws,inference,Consider the following premises: It is sunny or Linda is an electrician. Can we infer the following from them? Answer yes or no: Linda is an electrician or it is sunny.,yes +763,propositional,equivalent,commutative laws,inference,Consider the following premises: Karen is climbing a mountain or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny or Karen is climbing a mountain.,yes +764,propositional,equivalent,commutative laws,inference,Consider the following premises: Karen is happy and Robert is excited. Can we infer the following from them? Answer yes or no: Robert is excited and Karen is happy.,yes +765,propositional,equivalent,commutative laws,inference,Consider the following premises: Sarah is an electrician or John is a politician. Can we infer the following from them? Answer yes or no: John is a politician or Sarah is an electrician.,yes +766,propositional,equivalent,commutative laws,inference,Consider the following premises: Barbara is playing squash and Jessica is happy. Can we infer the following from them? Answer yes or no: Jessica is happy and Barbara is playing squash.,yes +767,propositional,equivalent,commutative laws,inference,Consider the following premises: Jessica is running and Karen is an electrician. Can we infer the following from them? Answer yes or no: Karen is an electrician and Jessica is running.,yes +768,propositional,equivalent,commutative laws,inference,Consider the following premises: It is snowing and Richard is a taxi driver. Can we infer the following from them? Answer yes or no: Richard is a taxi driver and it is snowing.,yes +769,propositional,equivalent,commutative laws,inference,Consider the following premises: Richard is a doctor or Joseph is excited. Can we infer the following from them? Answer yes or no: Joseph is excited or Richard is a doctor.,yes +770,propositional,equivalent,commutative laws,inference,Consider the following premises: Patricia is an astronaut and it is cold. Can we infer the following from them? Answer yes or no: It is cold and Patricia is an astronaut.,yes +771,propositional,equivalent,commutative laws,inference,Consider the following premises: Mary is playing tennis and Richard is playing squash. Can we infer the following from them? Answer yes or no: Richard is playing squash and Mary is playing tennis.,yes +772,propositional,equivalent,commutative laws,inference,Consider the following premises: James is excited and Karen is writing a letter. Can we infer the following from them? Answer yes or no: Karen is writing a letter and James is excited.,yes +773,propositional,equivalent,commutative laws,inference,Consider the following premises: Jennifer is an office clerk or Michael is cooking. Can we infer the following from them? Answer yes or no: Michael is cooking or Jennifer is an office clerk.,yes +774,propositional,equivalent,commutative laws,inference,Consider the following premises: John is rich and Robert is a janitor. Can we infer the following from them? Answer yes or no: Robert is a janitor and John is rich.,yes +775,propositional,equivalent,commutative laws,inference,Consider the following premises: It is snowing or Jessica is drinking water. Can we infer the following from them? Answer yes or no: Jessica is drinking water or it is snowing.,yes +776,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cloudy or Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: Karen is not a lawyer.,no +777,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jessica is listening to a song or it is snowing. Can we infer the following from them? Answer yes or no: It is overcast.,no +778,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Richard is playing squash and Jessica is a poet. Can we infer the following from them? Answer yes or no: It is cloudy.,no +779,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Michael is excited or it is snowing. Can we infer the following from them? Answer yes or no: It is sunny.,no +780,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Sarah is working or Jessica is a soldier. Can we infer the following from them? Answer yes or no: Karen is not cooking.,no +781,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jessica is taking a plane or Robert is sleeping. Can we infer the following from them? Answer yes or no: William is not making tea.,no +782,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Elisabeth is an artist or it is overcast. Can we infer the following from them? Answer yes or no: Jessica is not happy.,no +783,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cold and it is sunny. Can we infer the following from them? Answer yes or no: Barbara is not reading a book.,no +784,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Sarah is bored or Karen is writing a letter. Can we infer the following from them? Answer yes or no: Jennifer is a politician.,no +785,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jennifer is fast or it is late. Can we infer the following from them? Answer yes or no: It is snowing.,no +786,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Elisabeth is playing a game or Karen is excited. Can we infer the following from them? Answer yes or no: It is snowing.,no +787,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Linda is rich or it is raining. Can we infer the following from them? Answer yes or no: Robert is not a soldier.,no +788,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Barbara is a carpenter and James is a taxi driver. Can we infer the following from them? Answer yes or no: Michael is not a lawyer.,no +789,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cloudy and James is a police officer. Can we infer the following from them? Answer yes or no: Sarah is not a cashier.,no +790,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Robert is a doctor and Jennifer is writing a letter. Can we infer the following from them? Answer yes or no: It is snowing.,no +791,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is raining or it is cloudy. Can we infer the following from them? Answer yes or no: Joseph is playing tennis.,no +792,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy or Michael is running. Can we infer the following from them? Answer yes or no: It is not late.,no +793,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is sunny and Barbara is playing a game. Can we infer the following from them? Answer yes or no: Jessica is excited.,no +794,propositional,equivalent,commutative laws,unrelated,Consider the following premises: James is running and Thomas is an office clerk. Can we infer the following from them? Answer yes or no: Mary is climbing a mountain.,no +795,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Jessica is running or it is windy. Can we infer the following from them? Answer yes or no: Joseph is driving a car.,no +796,propositional,equivalent,commutative laws,unrelated,Consider the following premises: William is making tea or it is overcast. Can we infer the following from them? Answer yes or no: It is not sunny.,no +797,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is windy and Michael is a carpenter. Can we infer the following from them? Answer yes or no: Charles is fast.,no +798,propositional,equivalent,commutative laws,unrelated,Consider the following premises: It is cloudy or Barbara is climbing a mountain. Can we infer the following from them? Answer yes or no: It is windy.,no +799,propositional,equivalent,commutative laws,unrelated,Consider the following premises: James is curious and Patricia is rich. Can we infer the following from them? Answer yes or no: Richard is a doctor.,no +800,propositional,equivalent,commutative laws,unrelated,Consider the following premises: Michael is playing tennis and Thomas is a nurse. Can we infer the following from them? Answer yes or no: Barbara is not running.,no +801,propositional,equivalent,complement laws,contradiction,Consider the following premises: Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is not driving a car.,no +802,propositional,equivalent,complement laws,contradiction,Consider the following premises: Michael is playing a game. Can we infer the following from them? Answer yes or no: Michael is not playing a game.,no +803,propositional,equivalent,complement laws,contradiction,Consider the following premises: Michael is a bartender. Can we infer the following from them? Answer yes or no: Michael is not a bartender.,no +804,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 +805,propositional,equivalent,complement laws,contradiction,Consider the following premises: Sarah is taking a plane. Can we infer the following from them? Answer yes or no: Sarah is not taking a plane.,no +806,propositional,equivalent,complement laws,contradiction,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no +807,propositional,equivalent,complement laws,contradiction,Consider the following premises: Susan is a bartender. Can we infer the following from them? Answer yes or no: Susan is not a bartender.,no +808,propositional,equivalent,complement laws,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 +809,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 +810,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 +811,propositional,equivalent,complement laws,contradiction,Consider the following premises: Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is not driving a car.,no +812,propositional,equivalent,complement laws,contradiction,Consider the following premises: Mary is a taxi driver. Can we infer the following from them? Answer yes or no: Mary is not a taxi driver.,no +813,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 +814,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 +815,propositional,equivalent,complement laws,contradiction,Consider the following premises: John is running. Can we infer the following from them? Answer yes or no: John is not running.,no +816,propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is a cashier. Can we infer the following from them? Answer yes or no: Barbara is not a cashier.,no +817,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 +818,propositional,equivalent,complement laws,contradiction,Consider the following premises: David is poor. Can we infer the following from them? Answer yes or no: David is not poor.,no +819,propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is an electrician. Can we infer the following from them? Answer yes or no: Barbara is not an electrician.,no +820,propositional,equivalent,complement laws,contradiction,Consider the following premises: Susan is excited. Can we infer the following from them? Answer yes or no: Susan is not excited.,no +821,propositional,equivalent,complement laws,contradiction,Consider the following premises: Patricia is playing squash. Can we infer the following from them? Answer yes or no: Patricia is not playing squash.,no +822,propositional,equivalent,complement laws,contradiction,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no +823,propositional,equivalent,complement laws,contradiction,Consider the following premises: Charles is happy. Can we infer the following from them? Answer yes or no: Charles is not happy.,no +824,propositional,equivalent,complement laws,contradiction,Consider the following premises: Robert is writing a letter. Can we infer the following from them? Answer yes or no: Robert is not writing a letter.,no +825,propositional,equivalent,complement laws,contradiction,Consider the following premises: Barbara is working. Can we infer the following from them? Answer yes or no: Barbara is not working.,no +826,propositional,equivalent,complement laws,inference,Consider the following premises: Joseph is an electrician. Can we infer the following from them? Answer yes or no: Joseph is an electrician.,yes +827,propositional,equivalent,complement laws,inference,Consider the following premises: David is a musician. Can we infer the following from them? Answer yes or no: David is a musician.,yes +828,propositional,equivalent,complement laws,inference,Consider the following premises: Richard is excited. Can we infer the following from them? Answer yes or no: Richard is excited.,yes +829,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 +830,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 +831,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 +832,propositional,equivalent,complement laws,inference,Consider the following premises: Sarah is listening to a song. Can we infer the following from them? Answer yes or no: Sarah is listening to a song.,yes +833,propositional,equivalent,complement laws,inference,Consider the following premises: Linda is running. Can we infer the following from them? Answer yes or no: Linda is running.,yes +834,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 +835,propositional,equivalent,complement laws,inference,Consider the following premises: Elisabeth is a politician. Can we infer the following from them? Answer yes or no: Elisabeth is a politician.,yes +836,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 +837,propositional,equivalent,complement laws,inference,Consider the following premises: John is fast. Can we infer the following from them? Answer yes or no: John is fast.,yes +838,propositional,equivalent,complement laws,inference,Consider the following premises: Linda is a taxi driver. Can we infer the following from them? Answer yes or no: Linda is a taxi driver.,yes +839,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 +840,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 +841,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 +842,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 +843,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 +844,propositional,equivalent,complement laws,inference,Consider the following premises: William is reading a book. Can we infer the following from them? Answer yes or no: William is reading a book.,yes +845,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 +846,propositional,equivalent,complement laws,inference,Consider the following premises: William is playing a game. Can we infer the following from them? Answer yes or no: William is playing a game.,yes +847,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 +848,propositional,equivalent,complement laws,inference,Consider the following premises: William is playing squash. Can we infer the following from them? Answer yes or no: William is playing squash.,yes +849,propositional,equivalent,complement laws,inference,Consider the following premises: Barbara is an electrician. Can we infer the following from them? Answer yes or no: Barbara is an electrician.,yes +850,propositional,equivalent,complement laws,inference,Consider the following premises: Jessica is a mechanic. Can we infer the following from them? Answer yes or no: Jessica is a mechanic.,yes +851,propositional,equivalent,complement laws,unrelated,Consider the following premises: Patricia is excited. Can we infer the following from them? Answer yes or no: It is not overcast.,no +852,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 +853,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: Joseph is not a writer.,no +854,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is cloudy. Can we infer the following from them? Answer yes or no: Susan is not a taxi driver.,no +855,propositional,equivalent,complement laws,unrelated,Consider the following premises: Jennifer is playing squash. Can we infer the following from them? Answer yes or no: Elisabeth is a janitor.,no +856,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is late. Can we infer the following from them? Answer yes or no: Richard is playing tennis.,no +857,propositional,equivalent,complement laws,unrelated,Consider the following premises: James is writing a letter. Can we infer the following from them? Answer yes or no: Charles is not taking a plane.,no +858,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is sunny. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +859,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: Sarah is not running.,no +860,propositional,equivalent,complement laws,unrelated,Consider the following premises: Charles is an artist. Can we infer the following from them? Answer yes or no: It is not windy.,no +861,propositional,equivalent,complement laws,unrelated,Consider the following premises: Richard is making tea. Can we infer the following from them? Answer yes or no: It is not snowing.,no +862,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: It is cold.,no +863,propositional,equivalent,complement laws,unrelated,Consider the following premises: Jessica is poor. Can we infer the following from them? Answer yes or no: Patricia is not a police officer.,no +864,propositional,equivalent,complement laws,unrelated,Consider the following premises: Robert is excited. Can we infer the following from them? Answer yes or no: Mary is making tea.,no +865,propositional,equivalent,complement laws,unrelated,Consider the following premises: Elisabeth is a politician. Can we infer the following from them? Answer yes or no: Joseph is not sleeping.,no +866,propositional,equivalent,complement laws,unrelated,Consider the following premises: Richard is working. Can we infer the following from them? Answer yes or no: Joseph is not a taxi driver.,no +867,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 sad.,no +868,propositional,equivalent,complement laws,unrelated,Consider the following premises: Thomas is poor. Can we infer the following from them? Answer yes or no: Michael is not a cashier.,no +869,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 not snowing.,no +870,propositional,equivalent,complement laws,unrelated,Consider the following premises: Linda is playing tennis. Can we infer the following from them? Answer yes or no: It is sunny.,no +871,propositional,equivalent,complement laws,unrelated,Consider the following premises: Elisabeth is playing tennis. Can we infer the following from them? Answer yes or no: Thomas is curious.,no +872,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is raining. Can we infer the following from them? Answer yes or no: Joseph is not writing a letter.,no +873,propositional,equivalent,complement laws,unrelated,Consider the following premises: It is snowing. Can we infer the following from them? Answer yes or no: It is not windy.,no +874,propositional,equivalent,complement laws,unrelated,Consider the following premises: Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is cooking.,no +875,propositional,equivalent,complement laws,unrelated,Consider the following premises: Robert is happy. Can we infer the following from them? Answer yes or no: It is windy.,no +876,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is cold, then James is listening to a song. Can we infer the following from them? Answer yes or no: Neither it is not cold nor James is listening to a song.",no +877,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Jennifer is not bored or Jennifer is making tea. Can we infer the following from them? Answer yes or no: The fact that Jennifer were bored does not imply that Jennifer is making tea.,no +878,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Mary is not an astronaut or Elisabeth is reading a book. Can we infer the following from them? Answer yes or no: The fact that Mary were an astronaut does not imply that Elisabeth is reading a book.,no +879,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Robert were rich, then it is snowing. Can we infer the following from them? Answer yes or no: Neither Robert is not rich nor it is snowing.",no +880,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is overcast, then Thomas is a police officer. Can we infer the following from them? Answer yes or no: Neither it is not overcast nor Thomas is a police officer.",no +881,propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not cold or William is writing a letter. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that William is writing a letter.,no +882,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Charles is not playing a game or it is late. Can we infer the following from them? Answer yes or no: The fact that Charles plays a game does not imply that it is late.,no +883,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Elisabeth takes a plane, then David is drinking water. Can we infer the following from them? Answer yes or no: Neither Elisabeth is not taking a plane nor David is drinking water.",no +884,propositional,equivalent,conditional laws,contradiction,Consider the following premises: John is not excited or it is sunny. Can we infer the following from them? Answer yes or no: The fact that John were excited does not imply that it is sunny.,no +885,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If John drives a car, then Karen is writing a letter. Can we infer the following from them? Answer yes or no: Neither John is not driving a car nor Karen is writing a letter.",no +886,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Jessica were an astronaut, then Sarah is poor. Can we infer the following from them? Answer yes or no: Neither Jessica is not an astronaut nor Sarah is poor.",no +887,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Michael were an electrician, then Robert is a doctor. Can we infer the following from them? Answer yes or no: Neither Michael is not an electrician nor Robert is a doctor.",no +888,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Sarah sleeps, then it is late. Can we infer the following from them? Answer yes or no: Neither Sarah is not sleeping nor it is late.",no +889,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Richard is not drinking water or it is raining. Can we infer the following from them? Answer yes or no: The fact that Richard drinks water does not imply that it is raining.,no +890,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it rains, then Charles is happy. Can we infer the following from them? Answer yes or no: Neither it is not raining nor Charles is happy.",no +891,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is cold, then Thomas is happy. Can we infer the following from them? Answer yes or no: Neither it is not cold nor Thomas is happy.",no +892,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Jennifer is not sad or it is late. Can we infer the following from them? Answer yes or no: The fact that Jennifer were sad does not imply that it is late.,no +893,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If David drives a car, then it is late. Can we infer the following from them? Answer yes or no: Neither David is not driving a car nor it is late.",no +894,propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not late or Karen is a police officer. Can we infer the following from them? Answer yes or no: The fact that it is late does not imply that Karen is a police officer.,no +895,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Jennifer cooks, then Linda is taking a plane. Can we infer the following from them? Answer yes or no: Neither Jennifer is not cooking nor Linda is taking a plane.",no +896,propositional,equivalent,conditional laws,contradiction,Consider the following premises: Linda is not playing squash or it is cold. Can we infer the following from them? Answer yes or no: The fact that Linda plays squash does not imply that it is cold.,no +897,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If James goes running, then John is a cashier. Can we infer the following from them? Answer yes or no: Neither James is not running nor John is a cashier.",no +898,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If it is cloudy, then it is late. Can we infer the following from them? Answer yes or no: Neither it is not cloudy nor it is late.",no +899,propositional,equivalent,conditional laws,contradiction,Consider the following premises: It is not snowing or William is an office clerk. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that William is an office clerk.,no +900,propositional,equivalent,conditional laws,contradiction,"Consider the following premises: If Susan were an electrician, then it is windy. Can we infer the following from them? Answer yes or no: Neither Susan is not an electrician nor it is windy.",no +901,propositional,equivalent,conditional laws,inference,"Consider the following premises: Robert is not making tea or it is late. Can we infer the following from them? Answer yes or no: If Robert makes tea, then it is late.",yes +902,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Joseph were a politician, then Joseph is playing tennis. Can we infer the following from them? Answer yes or no: Joseph is not a politician or Joseph is playing tennis.",yes +903,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Charles were happy, then Jennifer is a sailor. Can we infer the following from them? Answer yes or no: Charles is not happy or Jennifer is a sailor.",yes +904,propositional,equivalent,conditional laws,inference,"Consider the following premises: If it snows, then it is cold. Can we infer the following from them? Answer yes or no: It is not snowing or it is cold.",yes +905,propositional,equivalent,conditional laws,inference,"Consider the following premises: Sarah is not taking a plane or Charles is an office clerk. Can we infer the following from them? Answer yes or no: If Sarah takes a plane, then Charles is an office clerk.",yes +906,propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not windy or it is overcast. Can we infer the following from them? Answer yes or no: If it is windy, then it is overcast.",yes +907,propositional,equivalent,conditional laws,inference,"Consider the following premises: If it is windy, then Patricia is excited. Can we infer the following from them? Answer yes or no: It is not windy or Patricia is excited.",yes +908,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Patricia were an electrician, then it is sunny. Can we infer the following from them? Answer yes or no: Patricia is not an electrician or it is sunny.",yes +909,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Elisabeth writes a letter, then Jennifer is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is not writing a letter or Jennifer is driving a car.",yes +910,propositional,equivalent,conditional laws,inference,"Consider the following premises: Mary is not playing squash or it is sunny. Can we infer the following from them? Answer yes or no: If Mary plays squash, then it is sunny.",yes +911,propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not snowing or Richard is sleeping. Can we infer the following from them? Answer yes or no: If it snows, then Richard is sleeping.",yes +912,propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not windy or Elisabeth is sad. Can we infer the following from them? Answer yes or no: If it is windy, then Elisabeth is sad.",yes +913,propositional,equivalent,conditional laws,inference,"Consider the following premises: It is not raining or it is snowing. Can we infer the following from them? Answer yes or no: If it rains, then it is snowing.",yes +914,propositional,equivalent,conditional laws,inference,"Consider the following premises: David is not a poet or John is an electrician. Can we infer the following from them? Answer yes or no: If David were a poet, then John is an electrician.",yes +915,propositional,equivalent,conditional laws,inference,"Consider the following premises: Joseph is not playing tennis or David is running. Can we infer the following from them? Answer yes or no: If Joseph plays tennis, then David is running.",yes +916,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Robert plays squash, then it is sunny. Can we infer the following from them? Answer yes or no: Robert is not playing squash or it is sunny.",yes +917,propositional,equivalent,conditional laws,inference,"Consider the following premises: Patricia is not writing a letter or it is raining. Can we infer the following from them? Answer yes or no: If Patricia writes a letter, then it is raining.",yes +918,propositional,equivalent,conditional laws,inference,"Consider the following premises: Thomas is not a lawyer or Richard is a sailor. Can we infer the following from them? Answer yes or no: If Thomas were a lawyer, then Richard is a sailor.",yes +919,propositional,equivalent,conditional laws,inference,"Consider the following premises: Richard is not a poet or Linda is working. Can we infer the following from them? Answer yes or no: If Richard were a poet, then Linda is working.",yes +920,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Richard were a scientist, then it is windy. Can we infer the following from them? Answer yes or no: Richard is not a scientist or it is windy.",yes +921,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Mary were bored, then Charles is taking a plane. Can we infer the following from them? Answer yes or no: Mary is not bored or Charles is taking a plane.",yes +922,propositional,equivalent,conditional laws,inference,"Consider the following premises: If it snows, then Susan is working. Can we infer the following from them? Answer yes or no: It is not snowing or Susan is working.",yes +923,propositional,equivalent,conditional laws,inference,"Consider the following premises: Michael is not a writer or it is cold. Can we infer the following from them? Answer yes or no: If Michael were a writer, then it is cold.",yes +924,propositional,equivalent,conditional laws,inference,"Consider the following premises: If Jennifer takes a plane, then it is cold. Can we infer the following from them? Answer yes or no: Jennifer is not taking a plane or it is cold.",yes +925,propositional,equivalent,conditional laws,inference,"Consider the following premises: Robert is not a musician or Barbara is excited. Can we infer the following from them? Answer yes or no: If Robert were a musician, then Barbara is excited.",yes +926,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it is late, then it is cloudy. Can we infer the following from them? Answer yes or no: William is a poet.",no +927,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not late or it is cold. Can we infer the following from them? Answer yes or no: Richard is not playing a game.,no +928,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Patricia were fast, then Michael is running. Can we infer the following from them? Answer yes or no: Elisabeth is not playing tennis.",no +929,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If it snows, then it is cloudy. Can we infer the following from them? Answer yes or no: James is not a scientist.",no +930,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Barbara is not an office clerk or Barbara is driving a car. Can we infer the following from them? Answer yes or no: It is not raining.,no +931,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not late or Linda is playing squash. Can we infer the following from them? Answer yes or no: Patricia is driving a car.,no +932,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Susan is not sleeping or it is snowing. Can we infer the following from them? Answer yes or no: Jennifer is a police officer.,no +933,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not sunny or Thomas is working. Can we infer the following from them? Answer yes or no: Richard is not running.,no +934,propositional,equivalent,conditional laws,unrelated,Consider the following premises: William is not rich or it is cloudy. Can we infer the following from them? Answer yes or no: Patricia is not a musician.,no +935,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Patricia is not cooking or it is sunny. Can we infer the following from them? Answer yes or no: It is late.,no +936,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Karen is not reading a book or Joseph is poor. Can we infer the following from them? Answer yes or no: Richard is a scientist.,no +937,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Elisabeth is not a mechanic or it is windy. Can we infer the following from them? Answer yes or no: Jessica is not a doctor.,no +938,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Linda sleeps, then it is cold. Can we infer the following from them? Answer yes or no: It is windy.",no +939,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not raining or Robert is playing tennis. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +940,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Linda is not making tea or Karen is a janitor. Can we infer the following from them? Answer yes or no: Charles is not cooking.,no +941,propositional,equivalent,conditional laws,unrelated,Consider the following premises: William is not excited or it is cold. Can we infer the following from them? Answer yes or no: Karen is running.,no +942,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Jessica were a janitor, then it is cold. Can we infer the following from them? Answer yes or no: Mary is a poet.",no +943,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not cold or it is late. Can we infer the following from them? Answer yes or no: Jessica is sad.,no +944,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Barbara is not reading a book or it is cloudy. Can we infer the following from them? Answer yes or no: It is not sunny.,no +945,propositional,equivalent,conditional laws,unrelated,Consider the following premises: Patricia is not a carpenter or it is snowing. Can we infer the following from them? Answer yes or no: Robert is not taking a plane.,no +946,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Charles were a politician, then it is late. Can we infer the following from them? Answer yes or no: Joseph is not writing a letter.",no +947,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not raining or Linda is taking a plane. Can we infer the following from them? Answer yes or no: Charles is not poor.,no +948,propositional,equivalent,conditional laws,unrelated,Consider the following premises: David is not an electrician or it is windy. Can we infer the following from them? Answer yes or no: William is not rich.,no +949,propositional,equivalent,conditional laws,unrelated,Consider the following premises: It is not cold or Richard is a police officer. Can we infer the following from them? Answer yes or no: Charles is not sleeping.,no +950,propositional,equivalent,conditional laws,unrelated,"Consider the following premises: If Jennifer cooks, then it is cloudy. Can we infer the following from them? Answer yes or no: Richard is a lawyer.",no +951,propositional,inference,conjunction,contradiction,Consider the following premises: Mary is playing tennis. David is an astronaut. Can we infer the following from them? Answer yes or no: David is not an astronaut.,no +952,propositional,inference,conjunction,contradiction,Consider the following premises: It is late. Joseph is reading a book. Can we infer the following from them? Answer yes or no: It is not late.,no +953,propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. It is raining. Can we infer the following from them? Answer yes or no: It is not cold.,no +954,propositional,inference,conjunction,contradiction,Consider the following premises: Elisabeth is a soldier. William is a poet. Can we infer the following from them? Answer yes or no: William is not a poet.,no +955,propositional,inference,conjunction,contradiction,Consider the following premises: Mary is writing a letter. Karen is a politician. Can we infer the following from them? Answer yes or no: Karen is not a politician.,no +956,propositional,inference,conjunction,contradiction,Consider the following premises: Michael is working. Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: Elisabeth is not a lawyer.,no +957,propositional,inference,conjunction,contradiction,Consider the following premises: It is raining. Richard is an astronaut. Can we infer the following from them? Answer yes or no: It is not raining.,no +958,propositional,inference,conjunction,contradiction,Consider the following premises: Karen is writing a letter. It is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no +959,propositional,inference,conjunction,contradiction,Consider the following premises: William is fast. David is driving a car. Can we infer the following from them? Answer yes or no: David is not driving a car.,no +960,propositional,inference,conjunction,contradiction,Consider the following premises: Elisabeth is happy. It is snowing. Can we infer the following from them? Answer yes or no: Elisabeth is not happy.,no +961,propositional,inference,conjunction,contradiction,Consider the following premises: Susan is a sailor. It is raining. Can we infer the following from them? Answer yes or no: Susan is not a sailor.,no +962,propositional,inference,conjunction,contradiction,Consider the following premises: It is sunny. Sarah is a writer. Can we infer the following from them? Answer yes or no: Sarah is not a writer.,no +963,propositional,inference,conjunction,contradiction,Consider the following premises: Mary is sad. Karen is fast. Can we infer the following from them? Answer yes or no: Karen is not fast.,no +964,propositional,inference,conjunction,contradiction,Consider the following premises: Michael is a sailor. Jessica is happy. Can we infer the following from them? Answer yes or no: Michael is not a sailor.,no +965,propositional,inference,conjunction,contradiction,Consider the following premises: It is cold. Joseph is reading a book. Can we infer the following from them? Answer yes or no: It is not cold.,no +966,propositional,inference,conjunction,contradiction,Consider the following premises: Charles is curious. Susan is cooking. Can we infer the following from them? Answer yes or no: Charles is not curious.,no +967,propositional,inference,conjunction,contradiction,Consider the following premises: Patricia is running. It is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no +968,propositional,inference,conjunction,contradiction,Consider the following premises: It is sunny. It is snowing. Can we infer the following from them? Answer yes or no: It is not sunny.,no +969,propositional,inference,conjunction,contradiction,Consider the following premises: Jessica is a sailor. Jennifer is a server. Can we infer the following from them? Answer yes or no: Jessica is not a sailor.,no +970,propositional,inference,conjunction,contradiction,Consider the following premises: Sarah is driving a car. Michael is a taxi driver. Can we infer the following from them? Answer yes or no: Sarah is not driving a car.,no +971,propositional,inference,conjunction,contradiction,Consider the following premises: It is late. Elisabeth is a janitor. Can we infer the following from them? Answer yes or no: It is not late.,no +972,propositional,inference,conjunction,contradiction,Consider the following premises: It is late. It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no +973,propositional,inference,conjunction,contradiction,Consider the following premises: It is overcast. It is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no +974,propositional,inference,conjunction,contradiction,Consider the following premises: Jennifer is an office clerk. Karen is an astronaut. Can we infer the following from them? Answer yes or no: Jennifer is not an office clerk.,no +975,propositional,inference,conjunction,contradiction,Consider the following premises: James is a soldier. Sarah is listening to a song. Can we infer the following from them? Answer yes or no: Sarah is not listening to a song.,no +976,propositional,inference,conjunction,inference,Consider the following premises: It is overcast. It is cold. Can we infer the following from them? Answer yes or no: It is cold and it is overcast.,yes +977,propositional,inference,conjunction,inference,Consider the following premises: Karen is writing a letter. It is raining. Can we infer the following from them? Answer yes or no: It is raining and Karen is writing a letter.,yes +978,propositional,inference,conjunction,inference,Consider the following premises: John is drinking water. It is overcast. Can we infer the following from them? Answer yes or no: It is overcast and John is drinking water.,yes +979,propositional,inference,conjunction,inference,Consider the following premises: Barbara is climbing a mountain. It is cold. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain and it is cold.,yes +980,propositional,inference,conjunction,inference,Consider the following premises: Jennifer is reading a book. William is climbing a mountain. Can we infer the following from them? Answer yes or no: William is climbing a mountain and Jennifer is reading a book.,yes +981,propositional,inference,conjunction,inference,Consider the following premises: Richard is an office clerk. Sarah is bored. Can we infer the following from them? Answer yes or no: Richard is an office clerk and Sarah is bored.,yes +982,propositional,inference,conjunction,inference,Consider the following premises: John is a soldier. It is cold. Can we infer the following from them? Answer yes or no: It is cold and John is a soldier.,yes +983,propositional,inference,conjunction,inference,Consider the following premises: Linda is a politician. It is sunny. Can we infer the following from them? Answer yes or no: It is sunny and Linda is a politician.,yes +984,propositional,inference,conjunction,inference,Consider the following premises: It is overcast. Michael is climbing a mountain. Can we infer the following from them? Answer yes or no: Michael is climbing a mountain and it is overcast.,yes +985,propositional,inference,conjunction,inference,Consider the following premises: It is raining. Karen is bored. Can we infer the following from them? Answer yes or no: It is raining and Karen is bored.,yes +986,propositional,inference,conjunction,inference,Consider the following premises: Thomas is a doctor. Thomas is writing a letter. Can we infer the following from them? Answer yes or no: Thomas is writing a letter and Thomas is a doctor.,yes +987,propositional,inference,conjunction,inference,Consider the following premises: It is overcast. Barbara is cooking. Can we infer the following from them? Answer yes or no: Barbara is cooking and it is overcast.,yes +988,propositional,inference,conjunction,inference,Consider the following premises: John is driving a car. Linda is a bartender. Can we infer the following from them? Answer yes or no: John is driving a car and Linda is a bartender.,yes +989,propositional,inference,conjunction,inference,Consider the following premises: Joseph is playing a game. It is cloudy. Can we infer the following from them? Answer yes or no: Joseph is playing a game and it is cloudy.,yes +990,propositional,inference,conjunction,inference,Consider the following premises: Robert is a doctor. It is sunny. Can we infer the following from them? Answer yes or no: Robert is a doctor and it is sunny.,yes +991,propositional,inference,conjunction,inference,Consider the following premises: Jennifer is playing tennis. Charles is a carpenter. Can we infer the following from them? Answer yes or no: Jennifer is playing tennis and Charles is a carpenter.,yes +992,propositional,inference,conjunction,inference,Consider the following premises: Sarah is a lawyer. Joseph is sad. Can we infer the following from them? Answer yes or no: Joseph is sad and Sarah is a lawyer.,yes +993,propositional,inference,conjunction,inference,Consider the following premises: Elisabeth is poor. It is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is poor and it is sunny.,yes +994,propositional,inference,conjunction,inference,Consider the following premises: David is an artist. It is sunny. Can we infer the following from them? Answer yes or no: David is an artist and it is sunny.,yes +995,propositional,inference,conjunction,inference,Consider the following premises: It is cold. Richard is a taxi driver. Can we infer the following from them? Answer yes or no: It is cold and Richard is a taxi driver.,yes +996,propositional,inference,conjunction,inference,Consider the following premises: Jessica is a janitor. William is cooking. Can we infer the following from them? Answer yes or no: William is cooking and Jessica is a janitor.,yes +997,propositional,inference,conjunction,inference,Consider the following premises: It is late. It is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy and it is late.,yes +998,propositional,inference,conjunction,inference,Consider the following premises: It is overcast. Sarah is bored. Can we infer the following from them? Answer yes or no: It is overcast and Sarah is bored.,yes +999,propositional,inference,conjunction,inference,Consider the following premises: It is raining. Karen is a sailor. Can we infer the following from them? Answer yes or no: Karen is a sailor and it is raining.,yes +1000,propositional,inference,conjunction,inference,Consider the following premises: Susan is writing a letter. Joseph is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is writing a letter and Joseph is climbing a mountain.,yes +1001,propositional,inference,conjunction,unrelated,Consider the following premises: It is overcast. Elisabeth is cooking. Can we infer the following from them? Answer yes or no: Richard is not driving a car.,no +1002,propositional,inference,conjunction,unrelated,Consider the following premises: Sarah is playing squash. Linda is a poet. Can we infer the following from them? Answer yes or no: Elisabeth is making tea.,no +1003,propositional,inference,conjunction,unrelated,Consider the following premises: It is cold. Joseph is writing a letter. Can we infer the following from them? Answer yes or no: It is not sunny.,no +1004,propositional,inference,conjunction,unrelated,Consider the following premises: Karen is drinking water. It is snowing. Can we infer the following from them? Answer yes or no: Elisabeth is happy.,no +1005,propositional,inference,conjunction,unrelated,Consider the following premises: It is late. Jennifer is playing a game. Can we infer the following from them? Answer yes or no: Jennifer is sad.,no +1006,propositional,inference,conjunction,unrelated,Consider the following premises: Linda is playing squash. It is snowing. Can we infer the following from them? Answer yes or no: David is an artist.,no +1007,propositional,inference,conjunction,unrelated,Consider the following premises: Linda is driving a car. It is raining. Can we infer the following from them? Answer yes or no: Charles is not a soldier.,no +1008,propositional,inference,conjunction,unrelated,Consider the following premises: David is playing tennis. James is poor. Can we infer the following from them? Answer yes or no: It is not windy.,no +1009,propositional,inference,conjunction,unrelated,Consider the following premises: Sarah is an artist. It is overcast. Can we infer the following from them? Answer yes or no: Susan is a nurse.,no +1010,propositional,inference,conjunction,unrelated,Consider the following premises: David is a cashier. Karen is an office clerk. Can we infer the following from them? Answer yes or no: Elisabeth is reading a book.,no +1011,propositional,inference,conjunction,unrelated,Consider the following premises: Elisabeth is a lawyer. Richard is cooking. Can we infer the following from them? Answer yes or no: It is not raining.,no +1012,propositional,inference,conjunction,unrelated,Consider the following premises: Joseph is a taxi driver. It is sunny. Can we infer the following from them? Answer yes or no: Linda is listening to a song.,no +1013,propositional,inference,conjunction,unrelated,Consider the following premises: Michael is a sailor. Linda is a poet. Can we infer the following from them? Answer yes or no: It is snowing.,no +1014,propositional,inference,conjunction,unrelated,Consider the following premises: It is windy. It is sunny. Can we infer the following from them? Answer yes or no: Mary is fast.,no +1015,propositional,inference,conjunction,unrelated,Consider the following premises: Richard is bored. It is late. Can we infer the following from them? Answer yes or no: Jennifer is a carpenter.,no +1016,propositional,inference,conjunction,unrelated,Consider the following premises: It is raining. It is cold. Can we infer the following from them? Answer yes or no: Thomas is driving a car.,no +1017,propositional,inference,conjunction,unrelated,Consider the following premises: Michael is taking a plane. Mary is making tea. Can we infer the following from them? Answer yes or no: Linda is sleeping.,no +1018,propositional,inference,conjunction,unrelated,Consider the following premises: Sarah is happy. It is overcast. Can we infer the following from them? Answer yes or no: Barbara is not making tea.,no +1019,propositional,inference,conjunction,unrelated,Consider the following premises: Jessica is running. It is late. Can we infer the following from them? Answer yes or no: It is not overcast.,no +1020,propositional,inference,conjunction,unrelated,Consider the following premises: David is driving a car. Jennifer is a writer. Can we infer the following from them? Answer yes or no: Michael is cooking.,no +1021,propositional,inference,conjunction,unrelated,Consider the following premises: Thomas is writing a letter. Michael is sad. Can we infer the following from them? Answer yes or no: Sarah is running.,no +1022,propositional,inference,conjunction,unrelated,Consider the following premises: It is overcast. James is a nurse. Can we infer the following from them? Answer yes or no: It is snowing.,no +1023,propositional,inference,conjunction,unrelated,Consider the following premises: It is windy. Susan is sleeping. Can we infer the following from them? Answer yes or no: Jennifer is not playing tennis.,no +1024,propositional,inference,conjunction,unrelated,Consider the following premises: It is snowing. It is raining. Can we infer the following from them? Answer yes or no: It is not windy.,no +1025,propositional,inference,conjunction,unrelated,Consider the following premises: Mary is fast. Susan is a janitor. Can we infer the following from them? Answer yes or no: It is raining.,no +1026,propositional,fallacy,denying a conjunct,inference,Consider the following premises: William is not a poet. The claim that William is a poet 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 +1027,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Sarah is sad and the claim that it is snowing cannot both be true. Sarah is not sad. Can we infer the following from them? Answer yes or no: It is snowing.,no +1028,propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not cloudy. The claim that it is cloudy 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 +1029,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that James is writing a letter and the claim that it is cold cannot both be true. James is not writing a letter. Can we infer the following from them? Answer yes or no: It is cold.,no +1030,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 cold cannot both be true. Can we infer the following from them? Answer yes or no: It is cold.,no +1031,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Patricia is working and the claim that Karen is fast cannot both be true. Patricia is not working. Can we infer the following from them? Answer yes or no: Karen is fast.,no +1032,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Thomas is not excited. The claim that Thomas is excited and the claim that Susan is playing a game cannot both be true. Can we infer the following from them? Answer yes or no: Susan is playing a game.,no +1033,propositional,fallacy,denying a conjunct,inference,Consider the following premises: John is not fast. The claim that John is fast 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 +1034,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Mary is not running. The claim that Mary is running 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 +1035,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Linda is playing tennis and the claim that it is snowing cannot both be true. Linda is not playing tennis. Can we infer the following from them? Answer yes or no: It is snowing.,no +1036,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Susan is not a soldier. The claim that Susan is a soldier and the claim that Karen is listening to a song cannot both be true. Can we infer the following from them? Answer yes or no: Karen is listening to a song.,no +1037,propositional,fallacy,denying a conjunct,inference,Consider the following premises: William is not drinking water. The claim that William is drinking water and the claim that David is a politician cannot both be true. Can we infer the following from them? Answer yes or no: David is a politician.,no +1038,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is raining and the claim that it is cold cannot both be true. It is not raining. Can we infer the following from them? Answer yes or no: It is cold.,no +1039,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is cold and the claim that Barbara is sleeping cannot both be true. It is not cold. Can we infer the following from them? Answer yes or no: Barbara is sleeping.,no +1040,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is raining and the claim that it is snowing cannot both be true. It is not raining. Can we infer the following from them? Answer yes or no: It is snowing.,no +1041,propositional,fallacy,denying a conjunct,inference,Consider the following premises: It is not snowing. The claim that it is snowing 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 +1042,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Mary is not a doctor. The claim that Mary is a doctor and the claim that Barbara is running cannot both be true. Can we infer the following from them? Answer yes or no: Barbara is running.,no +1043,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Karen is running and the claim that James is an astronaut cannot both be true. Karen is not running. Can we infer the following from them? Answer yes or no: James is an astronaut.,no +1044,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Susan is not climbing a mountain. The claim that Susan is climbing a mountain and the claim that Patricia is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: Patricia is an astronaut.,no +1045,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Karen is not bored. The claim that Karen is bored and the claim that William is a mechanic cannot both be true. Can we infer the following from them? Answer yes or no: William is a mechanic.,no +1046,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Robert is not playing tennis. The claim that Robert is playing tennis and the claim that Thomas is running cannot both be true. Can we infer the following from them? Answer yes or no: Thomas is running.,no +1047,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that it is cold and the claim that Charles is climbing a mountain cannot both be true. It is not cold. Can we infer the following from them? Answer yes or no: Charles is climbing a mountain.,no +1048,propositional,fallacy,denying a conjunct,inference,Consider the following premises: Patricia is not listening to a song. The claim that Patricia is listening to a song and the claim that David is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: David is an astronaut.,no +1049,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 an artist cannot both be true. Can we infer the following from them? Answer yes or no: Linda is an artist.,no +1050,propositional,fallacy,denying a conjunct,inference,Consider the following premises: The claim that Jessica is an astronaut and the claim that it is late cannot both be true. Jessica is not an astronaut. Can we infer the following from them? Answer yes or no: It is late.,no +1051,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Sarah is not a politician. If Sarah were a politician, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no +1052,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not snowing. If it snows, then Charles is poor. Can we infer the following from them? Answer yes or no: Charles is not poor.",no +1053,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Mary is not fast. If Mary were fast, then Barbara is a janitor. Can we infer the following from them? Answer yes or no: Barbara is not a janitor.",no +1054,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Patricia is not playing squash. If Patricia plays squash, then David is playing tennis. Can we infer the following from them? Answer yes or no: David is not playing tennis.",no +1055,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Mary is not drinking water. If Mary drinks water, then Linda is an artist. Can we infer the following from them? Answer yes or no: Linda is not an artist.",no +1056,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Jennifer makes tea, then Karen is an astronaut. Jennifer is not making tea. Can we infer the following from them? Answer yes or no: Karen is not an astronaut.",no +1057,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not late. If it is late, then James is making tea. Can we infer the following from them? Answer yes or no: James is not making tea.",no +1058,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is windy, then it is late. It is not windy. Can we infer the following from them? Answer yes or no: It is not late.",no +1059,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Joseph drives a car, then Susan is happy. Joseph is not driving a car. Can we infer the following from them? Answer yes or no: Susan is not happy.",no +1060,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Sarah were happy, then Jessica is a writer. Sarah is not happy. Can we infer the following from them? Answer yes or no: Jessica is not a writer.",no +1061,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If John cooks, then it is late. John is not cooking. Can we infer the following from them? Answer yes or no: It is not late.",no +1062,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: It is not raining. If it rains, then Joseph is climbing a mountain. Can we infer the following from them? Answer yes or no: Joseph is not climbing a mountain.",no +1063,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Jennifer plays squash, then it is raining. Jennifer is not playing squash. Can we infer the following from them? Answer yes or no: It is not raining.",no +1064,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Richard plays squash, then Jennifer is climbing a mountain. Richard is not playing squash. Can we infer the following from them? Answer yes or no: Jennifer is not climbing a mountain.",no +1065,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Karen is not playing a game. If Karen plays a game, then Sarah is cooking. Can we infer the following from them? Answer yes or no: Sarah is not cooking.",no +1066,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is late, then Elisabeth is drinking water. It is not late. Can we infer the following from them? Answer yes or no: Elisabeth is not drinking water.",no +1067,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is windy, then Charles is excited. It is not windy. Can we infer the following from them? Answer yes or no: Charles is not excited.",no +1068,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it snows, then Susan is driving a car. It is not snowing. Can we infer the following from them? Answer yes or no: Susan is not driving a car.",no +1069,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it rains, then it is windy. It is not raining. Can we infer the following from them? Answer yes or no: It is not windy.",no +1070,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Barbara is not driving a car. If Barbara drives a car, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no +1071,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is windy, then Patricia is sleeping. It is not windy. Can we infer the following from them? Answer yes or no: Patricia is not sleeping.",no +1072,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: Charles is not listening to a song. If Charles listens to a song, then James is playing squash. Can we infer the following from them? Answer yes or no: James is not playing squash.",no +1073,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If it is cold, then Robert is an artist. It is not cold. Can we infer the following from them? Answer yes or no: Robert is not an artist.",no +1074,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Mary drinks water, then Patricia is making tea. Mary is not drinking water. Can we infer the following from them? Answer yes or no: Patricia is not making tea.",no +1075,propositional,fallacy,denying the antecedent,inference,"Consider the following premises: If Mary were curious, then Joseph is making tea. Mary is not curious. Can we infer the following from them? Answer yes or no: Joseph is not making tea.",no +1076,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Thomas were a bartender, then it is late. If it snows, then it is late. It is snowing or Thomas is a bartender. Can we infer the following from them? Answer yes or no: It is not late.",no +1077,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is late or it is sunny. If it is sunny, then it is snowing. If it is late, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no +1078,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If William were fast, then Jennifer is running. William is fast or it is raining. If it rains, then Jennifer is running. Can we infer the following from them? Answer yes or no: Jennifer is not running.",no +1079,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is raining or Mary is a server. If Mary were a server, then Patricia is an office clerk. If it rains, then Patricia is an office clerk. Can we infer the following from them? Answer yes or no: Patricia is not an office clerk.",no +1080,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: David is running or Jennifer is a mechanic. If David goes running, then Sarah is taking a plane. If Jennifer were a mechanic, then Sarah is taking a plane. Can we infer the following from them? Answer yes or no: Sarah is not taking a plane.",no +1081,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Sarah were an astronaut, then Jessica is drinking water. If Joseph plays tennis, then Jessica is drinking water. Sarah is an astronaut or Joseph is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is not drinking water.",no +1082,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If James were a cashier, then Karen is reading a book. If Charles goes running, then Karen is reading a book. James is a cashier or Charles is running. Can we infer the following from them? Answer yes or no: Karen is not reading a book.",no +1083,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Patricia makes tea, then William is a musician. Patricia is making tea or Joseph is an electrician. If Joseph were an electrician, then William is a musician. Can we infer the following from them? Answer yes or no: William is not a musician.",no +1084,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Richard were a lawyer, then Thomas is running. Richard is a lawyer or Barbara is listening to a song. If Barbara listens to a song, then Thomas is running. Can we infer the following from them? Answer yes or no: Thomas is not running.",no +1085,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Linda works, then Richard is playing squash. If Barbara were an astronaut, then Richard is playing squash. Linda is working or Barbara is an astronaut. Can we infer the following from them? Answer yes or no: Richard is not playing squash.",no +1086,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is overcast or it is late. If it is late, then Elisabeth is a soldier. If it is overcast, then Elisabeth is a soldier. Can we infer the following from them? Answer yes or no: Elisabeth is not a soldier.",no +1087,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is cloudy or Linda is a cashier. If it is cloudy, then Susan is listening to a song. If Linda were a cashier, 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 +1088,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If John plays tennis, then it is cold. John is playing tennis or Joseph is poor. If Joseph were poor, then it is cold. Can we infer the following from them? Answer yes or no: It is not cold.",no +1089,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If John listens to a song, then it is raining. John is listening to a song or Thomas is a musician. If Thomas were a musician, then it is raining. Can we infer the following from them? Answer yes or no: It is not raining.",no +1090,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is cloudy, then Linda is happy. It is cloudy or Jennifer is a sailor. If Jennifer were a sailor, then Linda is happy. Can we infer the following from them? Answer yes or no: Linda is not happy.",no +1091,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Charles is a musician or Richard is rich. If Charles were a musician, then it is cold. If Richard were rich, then it is cold. Can we infer the following from them? Answer yes or no: It is not cold.",no +1092,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is late or it is overcast. If it is late, then Jennifer is a janitor. If it is overcast, then Jennifer is a janitor. Can we infer the following from them? Answer yes or no: Jennifer is not a janitor.",no +1093,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is windy or Jessica is sad. If it is windy, then Joseph is playing squash. If Jessica were sad, then Joseph is playing squash. Can we infer the following from them? Answer yes or no: Joseph is not playing squash.",no +1094,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Karen were a nurse, then it is snowing. If Patricia were a cashier, then it is snowing. Karen is a nurse or Patricia is a cashier. Can we infer the following from them? Answer yes or no: It is not snowing.",no +1095,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Joseph is a carpenter or it is windy. If Joseph were a carpenter, then Joseph is a doctor. If it is windy, then Joseph is a doctor. Can we infer the following from them? Answer yes or no: Joseph is not a doctor.",no +1096,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If it is sunny, then Elisabeth is a server. If it is cloudy, then Elisabeth is a server. It is sunny or it is cloudy. Can we infer the following from them? Answer yes or no: Elisabeth is not a server.",no +1097,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: It is raining or Linda is playing squash. If it rains, then Jennifer is bored. If Linda plays squash, then Jennifer is bored. Can we infer the following from them? Answer yes or no: Jennifer is not bored.",no +1098,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: If Richard were an astronaut, then Richard is drinking water. If it rains, then Richard is drinking water. Richard is an astronaut or it is raining. Can we infer the following from them? Answer yes or no: Richard is not drinking water.",no +1099,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Karen is a mechanic or William is a janitor. If Karen were a mechanic, then it is sunny. If William were a janitor, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no +1100,propositional,inference,disjunction elimination,contradiction,"Consider the following premises: Mary is a janitor or it is cold. If it is cold, then it is cloudy. If Mary were a janitor, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +1101,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it rains, then Sarah is playing squash. It is overcast or it is raining. If it is overcast, then Sarah is playing squash. Can we infer the following from them? Answer yes or no: Sarah is playing squash.",yes +1102,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it rains, then William is a doctor. If it snows, then William is a doctor. It is raining or it is snowing. Can we infer the following from them? Answer yes or no: William is a doctor.",yes +1103,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Susan cooks, then it is windy. If it snows, then it is windy. It is snowing or Susan is cooking. Can we infer the following from them? Answer yes or no: It is windy.",yes +1104,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is sunny, then it is raining. Michael is a janitor or it is sunny. If Michael were a janitor, then it is raining. Can we infer the following from them? Answer yes or no: It is raining.",yes +1105,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Thomas were an artist, then Michael is making tea. James is running or Thomas is an artist. If James goes running, then Michael is making tea. Can we infer the following from them? Answer yes or no: Michael is making tea.",yes +1106,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Linda were poor, then Robert is a musician. If Jennifer drives a car, then Robert is a musician. Jennifer is driving a car or Linda is poor. Can we infer the following from them? Answer yes or no: Robert is a musician.",yes +1107,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Karen were fast, then it is cloudy. If it is overcast, then it is cloudy. Karen is fast or it is overcast. Can we infer the following from them? Answer yes or no: It is cloudy.",yes +1108,propositional,inference,disjunction elimination,inference,"Consider the following premises: It is snowing or it is overcast. If it is overcast, then it is late. If it snows, then it is late. Can we infer the following from them? Answer yes or no: It is late.",yes +1109,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it rains, then it is windy. John is a politician or it is raining. If John were a politician, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",yes +1110,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Charles were a lawyer, then James is running. If it is cold, then James is running. It is cold or Charles is a lawyer. Can we infer the following from them? Answer yes or no: James is running.",yes +1111,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Charles were an electrician, then it is sunny. If Michael were rich, then it is sunny. Michael is rich or Charles is an electrician. Can we infer the following from them? Answer yes or no: It is sunny.",yes +1112,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Patricia writes a letter, then it is cold. If Susan drinks water, then it is cold. Susan is drinking water or Patricia is writing a letter. Can we infer the following from them? Answer yes or no: It is cold.",yes +1113,propositional,inference,disjunction elimination,inference,"Consider the following premises: David is an artist or Richard is a soldier. If David were an artist, then Elisabeth is playing squash. If Richard were a soldier, then Elisabeth is playing squash. Can we infer the following from them? Answer yes or no: Elisabeth is playing squash.",yes +1114,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Jennifer sleeps, then Jessica is playing tennis. It is cold or Jennifer is sleeping. If it is cold, then Jessica is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is playing tennis.",yes +1115,propositional,inference,disjunction elimination,inference,"Consider the following premises: It is sunny or John is bored. If John were bored, then Patricia is a police officer. If it is sunny, then Patricia is a police officer. Can we infer the following from them? Answer yes or no: Patricia is a police officer.",yes +1116,propositional,inference,disjunction elimination,inference,"Consider the following premises: It is late or Sarah is an office clerk. If it is late, then James is playing a game. If Sarah were an office clerk, then James is playing a game. Can we infer the following from them? Answer yes or no: James is playing a game.",yes +1117,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is late, then Joseph is playing a game. Jessica is a poet or it is late. If Jessica were a poet, then Joseph is playing a game. Can we infer the following from them? Answer yes or no: Joseph is playing a game.",yes +1118,propositional,inference,disjunction elimination,inference,"Consider the following premises: William is a janitor or it is snowing. If William were a janitor, then Patricia is a mechanic. If it snows, then Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Patricia is a mechanic.",yes +1119,propositional,inference,disjunction elimination,inference,"Consider the following premises: Linda is poor or it is late. If it is late, then Susan is an astronaut. If Linda were poor, then Susan is an astronaut. Can we infer the following from them? Answer yes or no: Susan is an astronaut.",yes +1120,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is overcast, then Thomas is a taxi driver. If Richard plays squash, then Thomas is a taxi driver. Richard is playing squash or it is overcast. Can we infer the following from them? Answer yes or no: Thomas is a taxi driver.",yes +1121,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Jennifer were sad, then Elisabeth is an artist. If Joseph were poor, then Elisabeth is an artist. Joseph is poor or Jennifer is sad. Can we infer the following from them? Answer yes or no: Elisabeth is an artist.",yes +1122,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Susan were a nurse, then it is cold. If Thomas goes running, then it is cold. Susan is a nurse or Thomas is running. Can we infer the following from them? Answer yes or no: It is cold.",yes +1123,propositional,inference,disjunction elimination,inference,"Consider the following premises: If Susan plays a game, then Elisabeth is drinking water. If it is sunny, then Elisabeth is drinking water. It is sunny or Susan is playing a game. Can we infer the following from them? Answer yes or no: Elisabeth is drinking water.",yes +1124,propositional,inference,disjunction elimination,inference,"Consider the following premises: If it is cloudy, then it is snowing. If it is overcast, then it is snowing. It is overcast or it is cloudy. Can we infer the following from them? Answer yes or no: It is snowing.",yes +1125,propositional,inference,disjunction elimination,inference,"Consider the following premises: Sarah is taking a plane or it is raining. If Sarah takes a plane, then Jessica is playing tennis. If it rains, then Jessica is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is playing tennis.",yes +1126,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is cloudy, then Thomas is a server. It is cloudy or Karen is a nurse. If Karen were a nurse, then Thomas is a server. Can we infer the following from them? Answer yes or no: Jennifer is a doctor.",no +1127,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: It is cloudy or Richard is playing tennis. If it is cloudy, then it is sunny. If Richard plays tennis, then it is sunny. Can we infer the following from them? Answer yes or no: Elisabeth is making tea.",no +1128,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Mary plays a game, then Barbara is running. Michael is an electrician or Mary is playing a game. If Michael were an electrician, then Barbara is running. Can we infer the following from them? Answer yes or no: David is climbing a mountain.",no +1129,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If James plays a game, then Robert is a scientist. Michael is taking a plane or James is playing a game. If Michael takes a plane, then Robert is a scientist. Can we infer the following from them? Answer yes or no: James is sleeping.",no +1130,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Sarah is a police officer or Patricia is an artist. If Patricia were an artist, then it is cold. If Sarah were a police officer, then it is cold. Can we infer the following from them? Answer yes or no: Richard is a mechanic.",no +1131,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Mary cooks, then it is snowing. Barbara is a soldier or Mary is cooking. If Barbara were a soldier, then it is snowing. Can we infer the following from them? Answer yes or no: Michael is a bartender.",no +1132,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Robert sleeps, then Sarah is an electrician. If Thomas goes running, then Sarah is an electrician. Robert is sleeping or Thomas is running. Can we infer the following from them? Answer yes or no: Michael is bored.",no +1133,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Sarah were a janitor, then William is working. Joseph is cooking or Sarah is a janitor. If Joseph cooks, then William is working. Can we infer the following from them? Answer yes or no: Charles is making tea.",no +1134,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is sunny, then it is cloudy. Susan is an office clerk or it is sunny. If Susan were an office clerk, then it is cloudy. Can we infer the following from them? Answer yes or no: Barbara is playing a game.",no +1135,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Joseph cooks, then it is snowing. Joseph is cooking or it is overcast. If it is overcast, then it is snowing. Can we infer the following from them? Answer yes or no: Jennifer is taking a plane.",no +1136,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is late, then Mary is working. If Patricia drives a car, then Mary is working. Patricia is driving a car or it is late. Can we infer the following from them? Answer yes or no: William is listening to a song.",no +1137,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is overcast, then Mary is happy. If it is cold, then Mary is happy. It is cold or it is overcast. Can we infer the following from them? Answer yes or no: Jessica is a musician.",no +1138,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Thomas cooks, then Charles is sad. If it is sunny, then Charles is sad. It is sunny or Thomas is cooking. Can we infer the following from them? Answer yes or no: It is raining.",no +1139,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Robert climbs a mountain, then Jennifer is a taxi driver. If Jennifer were sad, then Jennifer is a taxi driver. Robert is climbing a mountain or Jennifer is sad. Can we infer the following from them? Answer yes or no: It is snowing.",no +1140,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Richard were a police officer, then Jennifer is playing tennis. If Karen reads a book, then Jennifer is playing tennis. Richard is a police officer or Karen is reading a book. Can we infer the following from them? Answer yes or no: It is snowing.",no +1141,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If John were rich, then Thomas is a janitor. John is rich or Jessica is a writer. If Jessica were a writer, then Thomas is a janitor. Can we infer the following from them? Answer yes or no: Linda is running.",no +1142,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: Patricia is an artist or Susan is happy. If Patricia were an artist, then it is sunny. If Susan were happy, then it is sunny. Can we infer the following from them? Answer yes or no: It is windy.",no +1143,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is overcast, then Jennifer is cooking. If it is late, then Jennifer is cooking. It is late or it is overcast. Can we infer the following from them? Answer yes or no: It is snowing.",no +1144,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it rains, then it is cloudy. It is late or it is raining. If it is late, then it is cloudy. Can we infer the following from them? Answer yes or no: Thomas is a cashier.",no +1145,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is windy, then Patricia is rich. If it is overcast, then Patricia is rich. It is overcast or it is windy. Can we infer the following from them? Answer yes or no: It is snowing.",no +1146,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Linda drives a car, then Charles is a sailor. Linda is driving a car or John is a carpenter. If John were a carpenter, then Charles is a sailor. Can we infer the following from them? Answer yes or no: Robert is happy.",no +1147,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Jennifer were bored, then William is playing tennis. Jennifer is bored or Richard is sleeping. If Richard sleeps, then William is playing tennis. Can we infer the following from them? Answer yes or no: It is sunny.",no +1148,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is late, then William is driving a car. Susan is a politician or it is late. If Susan were a politician, then William is driving a car. Can we infer the following from them? Answer yes or no: Linda is writing a letter.",no +1149,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If it is late, then Elisabeth is running. Michael is playing a game or it is late. If Michael plays a game, then Elisabeth is running. Can we infer the following from them? Answer yes or no: It is cold.",no +1150,propositional,inference,disjunction elimination,unrelated,"Consider the following premises: If Susan sleeps, then it is sunny. If Karen takes a plane, then it is sunny. Karen is taking a plane or Susan is sleeping. Can we infer the following from them? Answer yes or no: Barbara is a server.",no +1151,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: John is a server or James is taking a plane. John is not a server. Can we infer the following from them? Answer yes or no: James is not taking a plane.,no +1152,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Michael is not playing squash. Michael is playing squash or it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no +1153,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Richard is not taking a plane. Richard is taking a plane or Jennifer is an astronaut. Can we infer the following from them? Answer yes or no: Jennifer is not an astronaut.,no +1154,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Linda is not rich. Linda is rich or it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.,no +1155,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Michael is drinking water or Michael is writing a letter. Michael is not drinking water. Can we infer the following from them? Answer yes or no: Michael is not writing a letter.,no +1156,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is raining or it is windy. It is not raining. Can we infer the following from them? Answer yes or no: It is not windy.,no +1157,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Sarah is climbing a mountain or David is a musician. Sarah is not climbing a mountain. Can we infer the following from them? Answer yes or no: David is not a musician.,no +1158,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Thomas is a poet or Jessica is a cashier. Thomas is not a poet. Can we infer the following from them? Answer yes or no: Jessica is not a cashier.,no +1159,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Elisabeth is not an artist. Elisabeth is an artist or Charles is reading a book. Can we infer the following from them? Answer yes or no: Charles is not reading a book.,no +1160,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Richard is not making tea. Richard is making tea or it is windy. Can we infer the following from them? Answer yes or no: It is not windy.,no +1161,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Joseph is sad or Michael is a police officer. Joseph is not sad. Can we infer the following from them? Answer yes or no: Michael is not a police officer.,no +1162,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jennifer is cooking or it is raining. Jennifer is not cooking. Can we infer the following from them? Answer yes or no: It is not raining.,no +1163,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: John is not a soldier. John is a soldier or Michael is sleeping. Can we infer the following from them? Answer yes or no: Michael is not sleeping.,no +1164,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is raining or Joseph is cooking. It is not raining. Can we infer the following from them? Answer yes or no: Joseph is not cooking.,no +1165,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: William is not listening to a song. William is listening to a song or James is a lawyer. Can we infer the following from them? Answer yes or no: James is not a lawyer.,no +1166,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: William is not a soldier. William is a soldier or John is driving a car. Can we infer the following from them? Answer yes or no: John is not driving a car.,no +1167,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Elisabeth is not an office clerk. Elisabeth is an office clerk or Susan is running. Can we infer the following from them? Answer yes or no: Susan is not running.,no +1168,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is windy or Mary is cooking. It is not windy. Can we infer the following from them? Answer yes or no: Mary is not cooking.,no +1169,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not cold. It is cold or it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +1170,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Richard is excited or it is overcast. Richard is not excited. Can we infer the following from them? Answer yes or no: It is not overcast.,no +1171,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not snowing. It is snowing or it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.,no +1172,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jennifer is not drinking water. Jennifer is drinking water or Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: Jennifer is not listening to a song.,no +1173,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is not sunny. It is sunny or Barbara is drinking water. Can we infer the following from them? Answer yes or no: Barbara is not drinking water.,no +1174,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: It is raining or it is cloudy. It is not raining. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +1175,propositional,inference,disjunctive syllogism,contradiction,Consider the following premises: Jennifer is not a server. Jennifer is a server or Jessica is playing tennis. Can we infer the following from them? Answer yes or no: Jessica is not playing tennis.,no +1176,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not late. It is late or Robert is a doctor. Can we infer the following from them? Answer yes or no: Robert is a doctor.,yes +1177,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Linda is not a soldier. Linda is a soldier or Thomas is a taxi driver. Can we infer the following from them? Answer yes or no: Thomas is a taxi driver.,yes +1178,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is windy or Mary is a writer. It is not windy. Can we infer the following from them? Answer yes or no: Mary is a writer.,yes +1179,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not overcast. It is overcast or Robert is writing a letter. Can we infer the following from them? Answer yes or no: Robert is writing a letter.,yes +1180,propositional,inference,disjunctive syllogism,inference,Consider the following premises: John is a bartender or Michael is an astronaut. John is not a bartender. Can we infer the following from them? Answer yes or no: Michael is an astronaut.,yes +1181,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Joseph is not running. Joseph is running or Charles is a lawyer. Can we infer the following from them? Answer yes or no: Charles is a lawyer.,yes +1182,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Barbara is not happy. Barbara is happy or David is a janitor. Can we infer the following from them? Answer yes or no: David is a janitor.,yes +1183,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is late or it is raining. It is not late. Can we infer the following from them? Answer yes or no: It is raining.,yes +1184,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Karen is not writing a letter. Karen is writing a letter or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +1185,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Thomas is not drinking water. Thomas is drinking water or Barbara is taking a plane. Can we infer the following from them? Answer yes or no: Barbara is taking a plane.,yes +1186,propositional,inference,disjunctive syllogism,inference,Consider the following premises: John is not playing a game. John is playing a game or David is a scientist. Can we infer the following from them? Answer yes or no: David is a scientist.,yes +1187,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not snowing. It is snowing or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +1188,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not windy. It is windy or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +1189,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not cold. It is cold or Jennifer is curious. Can we infer the following from them? Answer yes or no: Jennifer is curious.,yes +1190,propositional,inference,disjunctive syllogism,inference,Consider the following premises: James is not an electrician. James is an electrician or Patricia is sad. Can we infer the following from them? Answer yes or no: Patricia is sad.,yes +1191,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not late. It is late or Susan is a carpenter. Can we infer the following from them? Answer yes or no: Susan is a carpenter.,yes +1192,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Charles is not a scientist. Charles is a scientist or it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.,yes +1193,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Mary is not working. Mary is working or Joseph is cooking. Can we infer the following from them? Answer yes or no: Joseph is cooking.,yes +1194,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Linda is not climbing a mountain. Linda is climbing a mountain or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +1195,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is raining or it is snowing. It is not raining. Can we infer the following from them? Answer yes or no: It is snowing.,yes +1196,propositional,inference,disjunctive syllogism,inference,Consider the following premises: James is a taxi driver or Richard is a politician. James is not a taxi driver. Can we infer the following from them? Answer yes or no: Richard is a politician.,yes +1197,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Patricia is not playing a game. Patricia is playing a game or Susan is making tea. Can we infer the following from them? Answer yes or no: Susan is making tea.,yes +1198,propositional,inference,disjunctive syllogism,inference,Consider the following premises: It is not raining. It is raining or Linda is listening to a song. Can we infer the following from them? Answer yes or no: Linda is listening to a song.,yes +1199,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Jennifer is not happy. Jennifer is happy or Susan is climbing a mountain. Can we infer the following from them? Answer yes or no: Susan is climbing a mountain.,yes +1200,propositional,inference,disjunctive syllogism,inference,Consider the following premises: Elisabeth is not an electrician. Elisabeth is an electrician or Elisabeth is a doctor. Can we infer the following from them? Answer yes or no: Elisabeth is a doctor.,yes +1201,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not snowing. It is snowing or it is cloudy. Can we infer the following from them? Answer yes or no: It is cold.,no +1202,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Richard is not a taxi driver. Richard is a taxi driver or Joseph is a musician. Can we infer the following from them? Answer yes or no: Charles is not excited.,no +1203,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Mary is not playing tennis. Mary is playing tennis or it is cloudy. Can we infer the following from them? Answer yes or no: It is not snowing.,no +1204,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Michael is not happy. Michael is happy or James is climbing a mountain. Can we infer the following from them? Answer yes or no: It is snowing.,no +1205,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not sunny. It is sunny or Mary is fast. Can we infer the following from them? Answer yes or no: It is cold.,no +1206,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Elisabeth is playing squash or it is cloudy. Elisabeth is not playing squash. Can we infer the following from them? Answer yes or no: It is windy.,no +1207,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Joseph is not a bartender. Joseph is a bartender or James is poor. Can we infer the following from them? Answer yes or no: Robert is not making tea.,no +1208,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Mary is not a sailor. Mary is a sailor or Robert is a soldier. Can we infer the following from them? Answer yes or no: Robert is a bartender.,no +1209,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Richard is not a cashier. Richard is a cashier or Linda is listening to a song. Can we infer the following from them? Answer yes or no: David is cooking.,no +1210,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Jessica is a nurse or Thomas is working. Jessica is not a nurse. Can we infer the following from them? Answer yes or no: Richard is playing a game.,no +1211,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: John is taking a plane or Barbara is a carpenter. John is not taking a plane. Can we infer the following from them? Answer yes or no: Linda is not a sailor.,no +1212,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is sunny or Susan is writing a letter. It is not sunny. Can we infer the following from them? Answer yes or no: James is playing squash.,no +1213,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not sunny. It is sunny or it is cold. Can we infer the following from them? Answer yes or no: It is not snowing.,no +1214,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: James is not playing tennis. James is playing tennis or Mary is climbing a mountain. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +1215,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Sarah is cooking or it is cold. Sarah is not cooking. Can we infer the following from them? Answer yes or no: Karen is a police officer.,no +1216,propositional,inference,disjunctive syllogism,unrelated,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: Jennifer is not writing a letter.,no +1217,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Patricia is reading a book or Jessica is a carpenter. Patricia is not reading a book. Can we infer the following from them? Answer yes or no: It is not snowing.,no +1218,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Thomas is not playing squash. Thomas is playing squash or Linda is a doctor. Can we infer the following from them? Answer yes or no: Patricia is not reading a book.,no +1219,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Susan is a poet or Jessica is cooking. Susan is not a poet. Can we infer the following from them? Answer yes or no: It is cold.,no +1220,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is not cloudy. It is cloudy or Jennifer is a soldier. Can we infer the following from them? Answer yes or no: Thomas is listening to a song.,no +1221,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is sunny or Michael is rich. It is not sunny. Can we infer the following from them? Answer yes or no: It is cold.,no +1222,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Robert is not happy. Robert is happy or William is a nurse. Can we infer the following from them? Answer yes or no: Susan is not sleeping.,no +1223,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Barbara is happy or Richard is sleeping. Barbara is not happy. Can we infer the following from them? Answer yes or no: It is not raining.,no +1224,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: Barbara is not writing a letter. Barbara is writing a letter or Robert is playing a game. Can we infer the following from them? Answer yes or no: William is not playing squash.,no +1225,propositional,inference,disjunctive syllogism,unrelated,Consider the following premises: It is late or Jennifer is making tea. It is not late. Can we infer the following from them? Answer yes or no: Jennifer is not working.,no +1226,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Michael is a janitor, or it is overcast and it is sunny. Can we infer the following from them? Answer yes or no: The claim that Michael is a janitor or it is overcast and the claim that Michael is a janitor or it is sunny cannot both be true.",no +1227,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: James is a sailor, or it is overcast and Jennifer is a police officer. Can we infer the following from them? Answer yes or no: The claim that James is a sailor or it is overcast and the claim that James is a sailor or Jennifer is a police officer cannot both be true.",no +1228,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jessica is curious, and either Elisabeth is rich or it is cloudy. Can we infer the following from them? Answer yes or no: Neither Jessica is curious and Elisabeth is rich nor Jessica is curious and it is cloudy.",no +1229,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is raining, or Linda is writing a letter and Susan is cooking. Can we infer the following from them? Answer yes or no: The claim that it is raining or Linda is writing a letter and the claim that it is raining or Susan is cooking cannot both be true.",no +1230,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Linda is a soldier, or it is cloudy and Susan is a poet. Can we infer the following from them? Answer yes or no: The claim that Linda is a soldier or it is cloudy and the claim that Linda is a soldier or Susan is a poet cannot both be true.",no +1231,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is overcast, or Barbara is working and Robert is sad. Can we infer the following from them? Answer yes or no: The claim that it is overcast or Barbara is working and the claim that it is overcast or Robert is sad cannot both be true.",no +1232,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Elisabeth is a bartender, and either it is sunny or it is overcast. Can we infer the following from them? Answer yes or no: Neither Elisabeth is a bartender and it is sunny nor Elisabeth is a bartender and it is overcast.",no +1233,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Karen is playing squash, and either Charles is cooking or it is sunny. Can we infer the following from them? Answer yes or no: Neither Karen is playing squash and Charles is cooking nor Karen is playing squash and it is sunny.",no +1234,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is late, or Sarah is sleeping and it is raining. Can we infer the following from them? Answer yes or no: The claim that it is late or Sarah is sleeping and the claim that it is late or it is raining cannot both be true.",no +1235,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Susan is a nurse, or it is late and Joseph is driving a car. Can we infer the following from them? Answer yes or no: The claim that Susan is a nurse or it is late and the claim that Susan is a nurse or Joseph is driving a car cannot both be true.",no +1236,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Jessica is reading a book, or it is cold and it is snowing. Can we infer the following from them? Answer yes or no: The claim that Jessica is reading a book or it is cold and the claim that Jessica is reading a book or it is snowing cannot both be true.",no +1237,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is cloudy, and either Linda is playing a game or Richard is cooking. Can we infer the following from them? Answer yes or no: Neither it is cloudy and Linda is playing a game nor it is cloudy and Richard is cooking.",no +1238,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Barbara is playing a game, or it is sunny and it is raining. Can we infer the following from them? Answer yes or no: The claim that Barbara is playing a game or it is sunny and the claim that Barbara is playing a game or it is raining cannot both be true.",no +1239,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is snowing, or Richard is a poet and Robert is cooking. Can we infer the following from them? Answer yes or no: The claim that it is snowing or Richard is a poet and the claim that it is snowing or Robert is cooking cannot both be true.",no +1240,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is late, and either it is snowing or Susan is playing tennis. Can we infer the following from them? Answer yes or no: Neither it is late and it is snowing nor it is late and Susan is playing tennis.",no +1241,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Joseph is a soldier, or Robert is an office clerk and it is late. Can we infer the following from them? Answer yes or no: The claim that Joseph is a soldier or Robert is an office clerk and the claim that Joseph is a soldier or it is late cannot both be true.",no +1242,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is late, and either Barbara is cooking or it is windy. Can we infer the following from them? Answer yes or no: Neither it is late and Barbara is cooking nor it is late and it is windy.",no +1243,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Mary is cooking, and either it is late or it is cloudy. Can we infer the following from them? Answer yes or no: Neither Mary is cooking and it is late nor Mary is cooking and it is cloudy.",no +1244,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Linda is drinking water, and either John is a janitor or Michael is working. Can we infer the following from them? Answer yes or no: Neither Linda is drinking water and John is a janitor nor Linda is drinking water and Michael is working.",no +1245,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is raining, and either it is cloudy or Barbara is working. Can we infer the following from them? Answer yes or no: Neither it is raining and it is cloudy nor it is raining and Barbara is working.",no +1246,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Charles is a bartender, and either it is sunny or Linda is climbing a mountain. Can we infer the following from them? Answer yes or no: Neither Charles is a bartender and it is sunny nor Charles is a bartender and Linda is climbing a mountain.",no +1247,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is raining, and either Susan is rich or Jessica is an electrician. Can we infer the following from them? Answer yes or no: Neither it is raining and Susan is rich nor it is raining and Jessica is an electrician.",no +1248,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is sunny, or it is late and William is a politician. Can we infer the following from them? Answer yes or no: The claim that it is sunny or it is late and the claim that it is sunny or William is a politician cannot both be true.",no +1249,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: It is sunny, and either it is late or it is windy. Can we infer the following from them? Answer yes or no: Neither it is sunny and it is late nor it is sunny and it is windy.",no +1250,propositional,equivalent,distributive laws,contradiction,"Consider the following premises: Mary is curious, or Jennifer is a police officer and it is snowing. Can we infer the following from them? Answer yes or no: The claim that Mary is curious or Jennifer is a police officer and the claim that Mary is curious or it is snowing cannot both be true.",no +1251,propositional,equivalent,distributive laws,inference,"Consider the following premises: Michael is taking a plane, or it is cloudy and Barbara is driving a car. Can we infer the following from them? Answer yes or no: both Michael is taking a plane or it is cloudy and Michael is taking a plane or Barbara is driving a car are true.",yes +1252,propositional,equivalent,distributive laws,inference,"Consider the following premises: Joseph is taking a plane, or Jessica is drinking water and William is a musician. Can we infer the following from them? Answer yes or no: both Joseph is taking a plane or Jessica is drinking water and Joseph is taking a plane or William is a musician are true.",yes +1253,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is overcast, or Michael is a politician and Elisabeth is a scientist. Can we infer the following from them? Answer yes or no: both It is overcast or Michael is a politician and It is overcast or Elisabeth is a scientist are true.",yes +1254,propositional,equivalent,distributive laws,inference,"Consider the following premises: Joseph is cooking, or Sarah is playing squash and William is a carpenter. Can we infer the following from them? Answer yes or no: both Joseph is cooking or Sarah is playing squash and Joseph is cooking or William is a carpenter are true.",yes +1255,propositional,equivalent,distributive laws,inference,"Consider the following premises: James is fast, and either Michael is sad or Susan is drinking water. Can we infer the following from them? Answer yes or no: either James is fast and Michael is sad, or James is fast and Susan is drinking water.",yes +1256,propositional,equivalent,distributive laws,inference,"Consider the following premises: Elisabeth is climbing a mountain, and either William is sad or Sarah is drinking water. Can we infer the following from them? Answer yes or no: either Elisabeth is climbing a mountain and William is sad, or Elisabeth is climbing a mountain and Sarah is drinking water.",yes +1257,propositional,equivalent,distributive laws,inference,"Consider the following premises: William is a politician, and either it is cloudy or it is raining. Can we infer the following from them? Answer yes or no: either William is a politician and it is cloudy, or William is a politician and it is raining.",yes +1258,propositional,equivalent,distributive laws,inference,"Consider the following premises: Thomas is climbing a mountain, and either Linda is an astronaut or Karen is a cashier. Can we infer the following from them? Answer yes or no: either Thomas is climbing a mountain and Linda is an astronaut, or Thomas is climbing a mountain and Karen is a cashier.",yes +1259,propositional,equivalent,distributive laws,inference,"Consider the following premises: Susan is listening to a song, or it is cold and it is sunny. Can we infer the following from them? Answer yes or no: both Susan is listening to a song or it is cold and Susan is listening to a song or it is sunny are true.",yes +1260,propositional,equivalent,distributive laws,inference,"Consider the following premises: Richard is reading a book, and either James is climbing a mountain or Barbara is rich. Can we infer the following from them? Answer yes or no: either Richard is reading a book and James is climbing a mountain, or Richard is reading a book and Barbara is rich.",yes +1261,propositional,equivalent,distributive laws,inference,"Consider the following premises: Joseph is a janitor, and either it is cold or it is overcast. Can we infer the following from them? Answer yes or no: either Joseph is a janitor and it is cold, or Joseph is a janitor and it is overcast.",yes +1262,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is cold, or James is taking a plane and it is late. Can we infer the following from them? Answer yes or no: both It is cold or James is taking a plane and It is cold or it is late are true.",yes +1263,propositional,equivalent,distributive laws,inference,"Consider the following premises: Mary is bored, or Karen is a janitor and Michael is a writer. Can we infer the following from them? Answer yes or no: both Mary is bored or Karen is a janitor and Mary is bored or Michael is a writer are true.",yes +1264,propositional,equivalent,distributive laws,inference,"Consider the following premises: David is an astronaut, and either Charles is fast or it is overcast. Can we infer the following from them? Answer yes or no: either David is an astronaut and Charles is fast, or David is an astronaut and it is overcast.",yes +1265,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is overcast, or it is late and James is playing tennis. Can we infer the following from them? Answer yes or no: both It is overcast or it is late and It is overcast or James is playing tennis are true.",yes +1266,propositional,equivalent,distributive laws,inference,"Consider the following premises: Sarah is playing tennis, or Richard is climbing a mountain and Thomas is driving a car. Can we infer the following from them? Answer yes or no: both Sarah is playing tennis or Richard is climbing a mountain and Sarah is playing tennis or Thomas is driving a car are true.",yes +1267,propositional,equivalent,distributive laws,inference,"Consider the following premises: Michael is playing squash, and either Elisabeth is sad or it is windy. Can we infer the following from them? Answer yes or no: either Michael is playing squash and Elisabeth is sad, or Michael is playing squash and it is windy.",yes +1268,propositional,equivalent,distributive laws,inference,"Consider the following premises: Joseph is happy, or Jessica is playing squash and Thomas is an astronaut. Can we infer the following from them? Answer yes or no: both Joseph is happy or Jessica is playing squash and Joseph is happy or Thomas is an astronaut are true.",yes +1269,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is windy, or it is raining and it is sunny. Can we infer the following from them? Answer yes or no: both It is windy or it is raining and It is windy or it is sunny are true.",yes +1270,propositional,equivalent,distributive laws,inference,"Consider the following premises: Richard is a scientist, and either Elisabeth is an artist or David is a soldier. Can we infer the following from them? Answer yes or no: either Richard is a scientist and Elisabeth is an artist, or Richard is a scientist and David is a soldier.",yes +1271,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is cloudy, or Michael is a mechanic and it is late. Can we infer the following from them? Answer yes or no: both It is cloudy or Michael is a mechanic and It is cloudy or it is late are true.",yes +1272,propositional,equivalent,distributive laws,inference,"Consider the following premises: Thomas is listening to a song, and either Richard is a poet or David is working. Can we infer the following from them? Answer yes or no: either Thomas is listening to a song and Richard is a poet, or Thomas is listening to a song and David is working.",yes +1273,propositional,equivalent,distributive laws,inference,"Consider the following premises: Linda is running, and either it is overcast or it is windy. Can we infer the following from them? Answer yes or no: either Linda is running and it is overcast, or Linda is running and it is windy.",yes +1274,propositional,equivalent,distributive laws,inference,"Consider the following premises: It is cold, and either David is a carpenter or it is overcast. Can we infer the following from them? Answer yes or no: either It is cold and David is a carpenter, or It is cold and it is overcast.",yes +1275,propositional,equivalent,distributive laws,inference,"Consider the following premises: Barbara is sleeping, and either Michael is making tea or it is cloudy. Can we infer the following from them? Answer yes or no: either Barbara is sleeping and Michael is making tea, or Barbara is sleeping and it is cloudy.",yes +1276,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: James is a janitor, or it is cloudy and it is windy. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.",no +1277,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is climbing a mountain, and either Elisabeth is reading a book or William is a bartender. Can we infer the following from them? Answer yes or no: Karen is not a poet.",no +1278,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Michael is an artist, or John is listening to a song and it is windy. Can we infer the following from them? Answer yes or no: John is not writing a letter.",no +1279,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Linda is reading a book, or Robert is a cashier and Barbara is taking a plane. Can we infer the following from them? Answer yes or no: It is not late.",no +1280,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Joseph is running, and either Karen is working or it is snowing. Can we infer the following from them? Answer yes or no: James is an electrician.",no +1281,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Joseph is playing tennis, and either it is cloudy or John is a writer. Can we infer the following from them? Answer yes or no: Patricia is playing squash.",no +1282,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Richard is writing a letter, or Michael is climbing a mountain and it is cloudy. Can we infer the following from them? Answer yes or no: James is not playing squash.",no +1283,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Elisabeth is a janitor, and either it is sunny or Robert is playing a game. Can we infer the following from them? Answer yes or no: It is not windy.",no +1284,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is late, or Richard is writing a letter and Richard is an office clerk. Can we infer the following from them? Answer yes or no: Linda is not a poet.",no +1285,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is cold, or Karen is reading a book and it is snowing. Can we infer the following from them? Answer yes or no: It is not sunny.",no +1286,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, or Richard is curious and it is cold. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +1287,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is writing a letter, or it is windy and Thomas is a police officer. Can we infer the following from them? Answer yes or no: It is sunny.",no +1288,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: David is playing tennis, or Thomas is listening to a song and Linda is a sailor. Can we infer the following from them? Answer yes or no: It is windy.",no +1289,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is snowing, and either Patricia is taking a plane or John is a lawyer. Can we infer the following from them? Answer yes or no: Jessica is an artist.",no +1290,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: William is reading a book, and either it is sunny or David is sleeping. Can we infer the following from them? Answer yes or no: Jessica is playing tennis.",no +1291,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Mary is drinking water, or it is snowing and Mary is playing squash. Can we infer the following from them? Answer yes or no: William is not sleeping.",no +1292,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Elisabeth is making tea, or David is a server and Charles is a carpenter. Can we infer the following from them? Answer yes or no: It is cold.",no +1293,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is late, or Elisabeth is a sailor and Mary is driving a car. Can we infer the following from them? Answer yes or no: It is sunny.",no +1294,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Jennifer is taking a plane, or it is windy and Linda is a soldier. Can we infer the following from them? Answer yes or no: Thomas is cooking.",no +1295,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Linda is bored, or it is snowing and David is running. Can we infer the following from them? Answer yes or no: David is playing a game.",no +1296,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Elisabeth is driving a car, or it is cloudy and Jessica is poor. Can we infer the following from them? Answer yes or no: Patricia is not running.",no +1297,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is windy, and either Thomas is a politician or Elisabeth is drinking water. Can we infer the following from them? Answer yes or no: It is snowing.",no +1298,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Karen is curious, or Richard is a musician and it is sunny. Can we infer the following from them? Answer yes or no: Barbara is not listening to a song.",no +1299,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: Linda is a carpenter, or Jessica is working and Thomas is a musician. Can we infer the following from them? Answer yes or no: It is not raining.",no +1300,propositional,equivalent,distributive laws,unrelated,"Consider the following premises: It is snowing, and either Karen is poor or Jessica is sad. Can we infer the following from them? Answer yes or no: It is not cold.",no +1301,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 will work. 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 will not work cannot both be true.",no +1302,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which the claim that y is a scientist and the claim that y is a server cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y is not a scientist nor y is not a server.",no +1303,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which the claim that y is sad and the claim that y will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y is not sad nor y will not drive a car.",no +1304,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which the claim that y will work and the claim that y is a nurse cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y will not work nor y is not a nurse.",no +1305,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u_4 for which the claim that u_4 will sleep and the claim that u_4 will cook cannot both be true. Can we infer the following from them? Answer yes or no: For all u_4, neither u_4 will not sleep nor u_4 will not cook.",no +1306,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 police officer 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, neither x is not a police officer nor x will not take a plane.",no +1307,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u_4 for which the claim that u_4 will cook and the claim that u_4 will play a game cannot both be true. Can we infer the following from them? Answer yes or no: For all u_4, neither u_4 will not cook nor u_4 will not play a game.",no +1308,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u_4 for which the claim that u_4 is a police officer and the claim that u_4 will drive a car cannot both be true. Can we infer the following from them? Answer yes or no: For all u_4, neither u_4 is not a police officer nor u_4 will not drive a car.",no +1309,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which the claim that y is rich and the claim that y is fast cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y is not rich nor y is not fast.",no +1310,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x_4 for which neither x_4 will go running nor x_4 will write a letter. Can we infer the following from them? Answer yes or no: For all x_4, the claim that x_4 will not go running and the claim that x_4 will not write a letter cannot both be true.",no +1311,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 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: For all x, neither x will not go running nor x will not listen to a song.",no +1312,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y_4 for which neither y_4 will drink water nor y_4 is a nurse. Can we infer the following from them? Answer yes or no: For all y_4, the claim that y_4 will not drink water and the claim that y_4 is not a nurse cannot both be true.",no +1313,predicate,equivalent,existential De Morgan's laws,contradiction,"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 is a server cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y will not play a game nor y is not a server.",no +1314,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 will sleep. 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 will not sleep cannot both be true.",no +1315,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 bartender nor z_1 will play squash. Can we infer the following from them? Answer yes or no: For all z_1, the claim that z_1 is not a bartender and the claim that z_1 will not play squash cannot both be true.",no +1316,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one u_4 for which the claim that u_4 is rich and the claim that u_4 is an astronaut cannot both be true. Can we infer the following from them? Answer yes or no: For all u_4, neither u_4 is not rich nor u_4 is not an astronaut.",no +1317,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 drink water 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, neither x will not drink water nor x will not write a letter.",no +1318,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one y for which the claim that y will sleep and the claim that y is a politician cannot both be true. Can we infer the following from them? Answer yes or no: For all y, neither y will not sleep nor y is not a politician.",no +1319,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one x for which neither x is an artist 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 an artist and the claim that x is not a doctor cannot both be true.",no +1320,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 is a bartender. 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 is not a bartender cannot both be true.",no +1321,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 drive a car. 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 drive a car cannot both be true.",no +1322,predicate,equivalent,existential De Morgan's laws,contradiction,"Consider the following premises: There is at least one z_2 for which neither z_2 will read a book nor z_2 is a writer. Can we infer the following from them? Answer yes or no: For all z_2, the claim that z_2 will not read a book and the claim that z_2 is not a writer cannot both be true.",no +1323,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 sad. 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 sad cannot both be true.",no +1324,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 bored 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 bored.",no +1325,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 will drive a car. 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 will not drive a car cannot both be true.",no +1326,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one u_1 for which the claim that u_1 is a musician and the claim that u_1 is a taxi driver cannot both be true. 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 musician or u_1 is not a taxi driver.,yes +1327,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 drive a car 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 not drive a car or x will not play tennis.,yes +1328,predicate,equivalent,existential De Morgan's laws,inference,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 will make tea 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 a game or u will not make tea.,yes +1329,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w_1 for which neither w_1 is a musician nor w_1 is a mechanic. 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 and w_1 is not a mechanic.,yes +1330,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v is a doctor nor 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 doctor and v is not a server.,yes +1331,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x will play squash nor 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 squash and x will not play tennis.,yes +1332,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one u_1 for which the claim that u_1 is excited and the claim that u_1 is happy cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 is not excited or u_1 is not happy.,yes +1333,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 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 work and x is not an electrician.,yes +1334,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z for which neither z will drink water nor 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 not drink water and z is not a writer.,yes +1335,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w_2 for which neither w_2 will work nor w_2 will drive 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 work and w_2 will not drive a car.,yes +1336,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 sleep and the claim that x is sad 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 sleep or x is not sad.,yes +1337,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 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 not a nurse or x will not play squash.,yes +1338,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one x for which neither x is happy nor 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 happy and x is not excited.,yes +1339,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w_1 for which neither w_1 will read a book nor w_1 is rich. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not read a book and w_1 is not rich.,yes +1340,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 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 climb a mountain and x is not a lawyer.,yes +1341,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one w_2 for which neither w_2 is a musician nor w_2 is excited. 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 and w_2 is not excited.,yes +1342,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one z_2 for which neither z_2 will write a letter nor z_2 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will not write a letter and z_2 is not a nurse.,yes +1343,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one u for which the claim that u will read a book and the claim that u is a doctor 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 read a book or u is not a doctor.,yes +1344,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 politician 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 politician or x will not play a game.,yes +1345,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v will make tea nor 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 make tea and v is not poor.,yes +1346,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v for which neither v will play a game nor 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 play a game and v is not a lawyer.,yes +1347,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one v_2 for which neither v_2 is a writer nor v_2 will go running. 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 writer and v_2 will not go running.,yes +1348,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 doctor 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 is not a doctor or x is not a janitor.,yes +1349,predicate,equivalent,existential De Morgan's laws,inference,Consider the following premises: There is at least one u for which the claim that u is a carpenter and the claim that u is curious 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 carpenter or u is not curious.,yes +1350,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 janitor and the claim that x is bored 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 janitor or x is not bored.,yes +1351,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is happy 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 make tea.,no +1352,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 read a book and the claim that y is a mechanic 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 bored.,no +1353,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one v for which the claim that v is a sailor and the claim that v is a writer 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 climb a mountain.,no +1354,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one y_1 for which the claim that y_1 will climb a mountain and the claim that y_1 will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not play a game.,no +1355,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 police officer. 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 +1356,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will climb a mountain nor 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 +1357,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 an electrician and the claim that x is sad 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 politician.,no +1358,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one v for which the claim that v will go running and the claim that v will make tea 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 not work.,no +1359,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one v for which the claim that v will go running and the claim that v is poor 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 read a book.,no +1360,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is curious 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 is not excited.,no +1361,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will drink water nor 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 sleep.,no +1362,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one y_1 for which the claim that y_1 will make tea and the claim that y_1 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_1 for which y_1 will not write a letter.,no +1363,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 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 a server.,no +1364,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 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 +1365,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x will go running 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 is a politician.,no +1366,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one v for which the claim that v will play a game and the claim that v will climb a mountain 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 not take a plane.,no +1367,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 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 sailor.,no +1368,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a writer 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 a poet.,no +1369,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is rich 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 is not fast.,no +1370,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 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 +1371,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one w_2 for which neither w_2 is a sailor nor w_2 is excited. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is an artist.,no +1372,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one y_1 for which the claim that y_1 is a scientist and the claim that y_1 is a janitor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will not read a book.,no +1373,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one x for which neither x is a politician nor 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 +1374,predicate,equivalent,existential De Morgan's laws,unrelated,Consider the following premises: There is at least one v for which neither v will play tennis nor 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 sleep.,no +1375,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 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 cashier.,no +1376,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 carpenter.",no +1377,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 curious.",no +1378,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is rich. Can we infer the following from them? Answer yes or no: For all v, neither v is rich nor v is a bartender.",no +1379,predicate,inference,existential addition,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, neither x will take a plane nor x is a nurse.",no +1380,predicate,inference,existential addition,contradiction,"Consider the following premises: 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, neither v is a server nor v is a doctor.",no +1381,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 is sad. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 is sad nor y_4 will make tea.",no +1382,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 is a carpenter. Can we infer the following from them? Answer yes or no: For all y_4, neither y_4 is a carpenter nor y_4 is excited.",no +1383,predicate,inference,existential addition,contradiction,"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: For all x, neither x is a taxi driver nor x is an astronaut.",no +1384,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 will write a letter.",no +1385,predicate,inference,existential addition,contradiction,"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: For all x, neither x is happy nor x is curious.",no +1386,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 go running.",no +1387,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 is a taxi driver.",no +1388,predicate,inference,existential addition,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, neither x is a politician nor x is an artist.",no +1389,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 take a plane.",no +1390,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is a nurse. Can we infer the following from them? Answer yes or no: For all v, neither v is a nurse nor v will climb a mountain.",no +1391,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 an artist.",no +1392,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 janitor.",no +1393,predicate,inference,existential addition,contradiction,"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: For all x, neither x is a writer nor x will cook.",no +1394,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is bored. Can we infer the following from them? Answer yes or no: For all v, neither v is bored nor v is a lawyer.",no +1395,predicate,inference,existential addition,contradiction,"Consider the following premises: There is at least one v for which v is a police officer. Can we infer the following from them? Answer yes or no: For all v, neither v is a police officer nor v is an artist.",no +1396,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 +1397,predicate,inference,existential addition,contradiction,"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: For all x, neither x is a writer nor x is a cashier.",no +1398,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 lawyer.",no +1399,predicate,inference,existential addition,contradiction,"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: For all x, neither x is curious nor x is a doctor.",no +1400,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 a janitor.",no +1401,predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will sleep or u_3 is a doctor.,yes +1402,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 scientist.,yes +1403,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 take a plane.,yes +1404,predicate,inference,existential addition,inference,Consider the following premises: There is at least one u for which 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 drink water or u is a sailor.,yes +1405,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 make tea.,yes +1406,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 climb a mountain.,yes +1407,predicate,inference,existential addition,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 or w is an office clerk.,yes +1408,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 listen to a song.,yes +1409,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 is a bartender.,yes +1410,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 is a politician.,yes +1411,predicate,inference,existential addition,inference,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: There is at least one x for which x will drive a car or x will make tea.,yes +1412,predicate,inference,existential addition,inference,Consider the following premises: There is at least one u for which 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 play tennis or u is a bartender.,yes +1413,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 nurse.,yes +1414,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 play tennis.,yes +1415,predicate,inference,existential addition,inference,Consider the following premises: There is at least one w for which w is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w for which w is a bartender or w is happy.,yes +1416,predicate,inference,existential addition,inference,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: There is at least one w for which w will work or w will read a book.,yes +1417,predicate,inference,existential addition,inference,Consider the following premises: 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 will drink water or w will go running.,yes +1418,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 sleep.,yes +1419,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 is fast.,yes +1420,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 play squash.,yes +1421,predicate,inference,existential addition,inference,Consider the following premises: There is at least one u_3 for which u_3 will sleep. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will sleep or u_3 will take a plane.,yes +1422,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 will play tennis.,yes +1423,predicate,inference,existential addition,inference,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: There is at least one u for which u will write a letter or u will drive a car.,yes +1424,predicate,inference,existential addition,inference,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: There is at least one w for which w will play a game or w will go running.,yes +1425,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 is excited.,yes +1426,predicate,inference,existential addition,unrelated,Consider the following premises: 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 drive a car.,no +1427,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_1 for which 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 will play tennis.,no +1428,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_1 for which y_1 will listen 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 write a letter.,no +1429,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 not make tea.,no +1430,predicate,inference,existential addition,unrelated,Consider the following premises: 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 not play a game.,no +1431,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 not a janitor.,no +1432,predicate,inference,existential addition,unrelated,Consider the following premises: 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 is not an electrician.,no +1433,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 will work. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will not sleep.,no +1434,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 is a musician. 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 +1435,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y for which 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 server.,no +1436,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_1 for which 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 will cook.,no +1437,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is poor.,no +1438,predicate,inference,existential addition,unrelated,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 not sad.,no +1439,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 will play squash. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will cook.,no +1440,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 is a poet. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is not sad.,no +1441,predicate,inference,existential addition,unrelated,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 is sad.,no +1442,predicate,inference,existential addition,unrelated,Consider the following premises: 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 a musician.,no +1443,predicate,inference,existential addition,unrelated,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 sleep.,no +1444,predicate,inference,existential addition,unrelated,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 tennis.,no +1445,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one y_2 for which y_2 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is a politician.,no +1446,predicate,inference,existential addition,unrelated,Consider the following premises: 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 politician.,no +1447,predicate,inference,existential addition,unrelated,Consider the following premises: 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 drive a car.,no +1448,predicate,inference,existential addition,unrelated,Consider the following premises: 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 poor.,no +1449,predicate,inference,existential addition,unrelated,Consider the following premises: There is at least one z for which z is curious. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not drink water.,no +1450,predicate,inference,existential addition,unrelated,Consider the following premises: 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 cook.,no +1451,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is 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: There is at least one x for which x will write a letter.",no +1452,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will work. For all x, x will work 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 +1453,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is curious. For all x, x is curious 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 +1454,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is sad. For all x, x is sad 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 take a plane.",no +1455,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u for which u is excited. For all u, u is excited or 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 sailor.",no +1456,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one u for which u is a scientist. For all u, u is a scientist 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 make tea.",no +1457,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x will listen to a song or x is a scientist. 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 scientist.",no +1458,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all u, u will play a game or u will cook. There is at least one u for which 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 will cook.",no +1459,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will play a game or x is a carpenter. 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 carpenter.",no +1460,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v, v will cook. There is at least one v for which v will cook 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 an astronaut.",no +1461,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one v for which v will take a plane or v is a cashier. For all v, 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 is a cashier.",no +1462,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is an electrician or x is a janitor. There is at least one x for which 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 janitor.",no +1463,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v_1, v_1 will play squash. There is at least one v_1 for which v_1 will play squash or v_1 is poor. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is poor.",no +1464,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is a writer. There is at least one x for which x is a writer 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 a soldier.",no +1465,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v_1, v_1 is an astronaut. There is at least one v_1 for which v_1 is an astronaut or v_1 is happy. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 is happy.",no +1466,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one v_1 for which v_1 will go running or v_1 will cook. For all v_1, v_1 will go running. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will cook.",no +1467,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is a politician. There is at least one x for which x is a politician 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.",no +1468,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v, v will work or v will play a game. There is at least one v for which v will work. 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 +1469,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a writer. For all x, x is a writer 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 +1470,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all v_1, v_1 is curious. There is at least one v_1 for which v_1 is curious or 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 is excited.",no +1471,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x is a mechanic. There is at least one x for which x is a mechanic 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 +1472,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 is a sailor. There is at least one y_4 for which y_4 is a sailor or y_4 is poor. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is poor.",no +1473,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all u, u will make tea or u will cook. 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 at least one u for which u will cook.",no +1474,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: There is at least one x for which x is a police officer or x will play squash. 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 play squash.",no +1475,predicate,fallacy,existential affirming a disjunct,inference,"Consider the following premises: For all x, x will read a book or x is a mechanic. 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 mechanic.",no +1476,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, z is a lawyer. There is at least one z for which if z were curious, 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 curious.",no +1477,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z_2, z_2 is a scientist. There is at least one z_2 for which if z_2 were a sailor, then 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 z_2 is a sailor.",no +1478,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, z is a writer. There is at least one z for which if z writes a letter, then 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 write a letter.",no +1479,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all v, if v were a cashier, then v is a scientist. There is at least one v for which 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 cashier.",no +1480,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u will work. There is at least one u for which if u plays a game, then u is working. 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 +1481,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 goes running, 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 go running.",no +1482,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all z, z will read a book. There is at least one z for which if z makes tea, 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 make tea.",no +1483,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all w, if w sleeps, then w is an artist. There is at least one w for which 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 sleep.",no +1484,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all v, if v works, then v is writing a letter. 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 work.",no +1485,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one z for which if z were a politician, then z is bored. For all z, z is bored. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a politician.",no +1486,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, if x plays tennis, then x is cooking. 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 play tennis.",no +1487,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 janitor, 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 janitor.",no +1488,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x for which x is an astronaut. For all x, if x were bored, 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 bored.",no +1489,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x for which if x were sad, then x is excited. For all x, x is excited. Can we infer the following from them? Answer yes or no: There is at least one x for which x is sad.",no +1490,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, if x were rich, then x is driving a car. 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 rich.",no +1491,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all u, u will play a game. There is at least one u for which if u were a bartender, 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 is a bartender.",no +1492,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one u for which if u plays a game, then u is a writer. For all u, 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 play a game.",no +1493,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, x will play tennis. There is at least one x for which 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 x will play squash.",no +1494,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one z for which if z were poor, then z is a janitor. For all z, z is a janitor. Can we infer the following from them? Answer yes or no: There is at least one z for which z is poor.",no +1495,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one x_4 for which if x_4 plays tennis, then x_4 is an astronaut. For all x_4, x_4 is an astronaut. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will play tennis.",no +1496,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: There is at least one z_2 for which if z_2 plays a game, then z_2 is writing a letter. For all z_2, 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 play a game.",no +1497,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x_4, x_4 will work. There is at least one x_4 for which if x_4 were poor, then x_4 is working. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is poor.",no +1498,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all x, if x writes a letter, then x is listening to a song. 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 write a letter.",no +1499,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 drives a car, 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 drive a car.",no +1500,predicate,fallacy,existential affirming the consequent,inference,"Consider the following premises: For all w, if w were a poet, then w is listening to a song. 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 is a poet.",no +1501,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v will write a letter or v will read a book or v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, neither v will write a letter or v will read a book nor v will listen to a song.",no +1502,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is poor or x will make tea or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, neither x is poor or x will make tea nor x will write a letter.",no +1503,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v is bored, and v is an office clerk and v is a sailor. Can we infer the following from them? Answer yes or no: For all v, the claim that v is bored and v is an office clerk, and the claim that v is a sailor cannot both be true.",no +1504,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is bored or 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 is bored or x will drink water nor x will drive a car.",no +1505,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: Some lawyers will drive a car and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a lawyer and x will drive a car and the claim that x will climb a mountain cannot both be true.",no +1506,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will cook, and x will play a game and x will sleep. Can we infer the following from them? Answer yes or no: For all x, the claim that x will cook and x will play a game, and the claim that x will sleep cannot both be true.",no +1507,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is sad, and x is a taxi driver and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the claim that x is sad and x is a taxi driver, and the claim that x is an office clerk cannot both be true.",no +1508,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 is a police officer or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, neither x will write a letter or x is a police officer nor x is a lawyer.",no +1509,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 poet or x will drink water. Can we infer the following from them? Answer yes or no: For all x, neither x is a mechanic or x is a poet nor x will drink water.",no +1510,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water or x is a mechanic or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water or x is a mechanic nor x is a janitor.",no +1511,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is excited, and x will write a letter and x will read a book. Can we infer the following from them? Answer yes or no: For all x, the claim that x is excited and x will write a letter, and the claim that x will read a book cannot both be true.",no +1512,predicate,equivalent,existential associative laws,contradiction,"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 doctor. Can we infer the following from them? Answer yes or no: For all x, neither x is a janitor or x is a nurse nor x is a doctor.",no +1513,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is poor or x will read a book or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, neither x is poor or x will read a book nor x is an electrician.",no +1514,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one v for which v will cook or v will work or v will go running. Can we infer the following from them? Answer yes or no: For all v, neither v will cook or v will work nor v will go running.",no +1515,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z_2 for which z_2 will listen to a song or z_2 will cook or z_2 will play tennis. Can we infer the following from them? Answer yes or no: For all z_2, neither z_2 will listen to a song or z_2 will cook nor z_2 will play tennis.",no +1516,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z_2 for which z_2 will cook or z_2 is a musician or z_2 is an office clerk. Can we infer the following from them? Answer yes or no: For all z_2, neither z_2 will cook or z_2 is a musician nor z_2 is an office clerk.",no +1517,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z_2 for which z_2 will play a game or z_2 is a janitor or z_2 will go running. Can we infer the following from them? Answer yes or no: For all z_2, neither z_2 will play a game or z_2 is a janitor nor z_2 will go running.",no +1518,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is fast, 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 is fast and x is a nurse, and the claim that x will go running cannot both be true.",no +1519,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is bored or x is a taxi driver or x will drink water. Can we infer the following from them? Answer yes or no: For all x, neither x is bored or x is a taxi driver nor x will drink water.",no +1520,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a nurse, and x is an astronaut and x will read a book. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a nurse and x is an astronaut, and the claim that x will read a book cannot both be true.",no +1521,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a carpenter or x will make tea or x will go running. Can we infer the following from them? Answer yes or no: For all x, neither x is a carpenter or x will make tea nor x will go running.",no +1522,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is an electrician or x is poor or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, neither x is an electrician or x is poor nor x will drive a car.",no +1523,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x will work or x is curious or x is a musician. Can we infer the following from them? Answer yes or no: For all x, neither x will work or x is curious nor x is a musician.",no +1524,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one x for which x is a musician or 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, neither x is a musician or x is a bartender nor x will listen to a song.",no +1525,predicate,equivalent,existential associative laws,contradiction,"Consider the following premises: There is at least one z_2 for which z_2 is a scientist or z_2 is a police officer or z_2 is an astronaut. Can we infer the following from them? Answer yes or no: For all z_2, neither z_2 is a scientist or z_2 is a police officer nor z_2 is an astronaut.",no +1526,predicate,equivalent,existential associative laws,inference,Consider the following premises: Some musicians will work and x will write a letter. Can we infer the following from them? Answer yes or no: Some musicians will work and x will write a letter.,yes +1527,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w_4 for which w_4 is a mechanic, or w_4 will work or w_4 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a mechanic or w_4 will work, or w_4 will take a plane.",yes +1528,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w_4 for which w_4 is an electrician, or w_4 will cook or w_4 is sad. 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 or w_4 will cook, or w_4 is sad.",yes +1529,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is an artist, and x is a sailor and x is sad. 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 is a sailor, and x is sad.",yes +1530,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 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 x will play a game and x is a soldier, and x will take a plane.",yes +1531,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will drive a car, 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 drive a car or x will take a plane, or x is sad.",yes +1532,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will make tea, or 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 x will make tea or x is a scientist, or x will drive a car.",yes +1533,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is happy, and x is an astronaut and 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 happy and x is an astronaut, and x is a mechanic.",yes +1534,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will go running, and x is a politician 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 will go running and x is a politician, and x is a lawyer.",yes +1535,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will listen to a song, or x is an artist 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 listen to a song or x is an artist, or x is a writer.",yes +1536,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will work, or x will play squash 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 will work or x will play squash, or x is a soldier.",yes +1537,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w for which w is poor, and w is a mechanic 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 is poor and w is a mechanic, and w will play a game.",yes +1538,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will play a game, or x will work 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 a game or x will work, or x will make tea.",yes +1539,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 write a letter 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 write a letter, or x will climb a mountain.",yes +1540,predicate,equivalent,existential associative laws,inference,Consider the following premises: Some musicians will go running and w is an astronaut. Can we infer the following from them? Answer yes or no: Some musicians will go running and w is an astronaut.,yes +1541,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w for which w will climb a mountain, and w will drink water and w is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w for which w will climb a mountain and w will drink water, and w is a bartender.",yes +1542,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x will drive a car, or x is a taxi driver 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 drive a car or x is a taxi driver, or x is happy.",yes +1543,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one z for which z is a police officer, or z is an electrician 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 a police officer or z is an electrician, or z will sleep.",yes +1544,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 play squash 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 go running or x will play squash, or x is a cashier.",yes +1545,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a nurse, 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 is a nurse or x will read a book, or x will cook.",yes +1546,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w_4 for which w_4 is bored, or w_4 is a taxi driver or w_4 will play squash. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is bored or w_4 is a taxi driver, or w_4 will play squash.",yes +1547,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one z for which z will listen to a song, or z is a sailor or z will work. 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 is a sailor, or z will work.",yes +1548,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is a lawyer, or x is rich 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 a lawyer or x is rich, or x is an astronaut.",yes +1549,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one w_4 for which w_4 is excited, or w_4 is a mechanic 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 is excited or w_4 is a mechanic, or w_4 will drive a car.",yes +1550,predicate,equivalent,existential associative laws,inference,"Consider the following premises: There is at least one x for which x is an office clerk, and x is a cashier 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 an office clerk and x is a cashier, and x will take a plane.",yes +1551,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 musician 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 not a lawyer.,no +1552,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will read a book or 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 not make tea.,no +1553,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 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 x is sad.,no +1554,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: Some sailors will write a letter 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 not make tea.,no +1555,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 poet 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 climb a mountain.,no +1556,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y will drink water or y is an artist or y is 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 +1557,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y is a writer or y will drive a car or 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 not a soldier.,no +1558,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y will take a plane or y is rich or 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 an astronaut.,no +1559,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one u for which u will read a book and u is sad and u is a server. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not sleep.,no +1560,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one u_2 for which u_2 will drive a car or u_2 is a politician or u_2 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 will listen to a song.,no +1561,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 rich 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 write a letter.,no +1562,predicate,equivalent,existential associative laws,unrelated,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 janitor. 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 +1563,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one y for which y will read a book or y is sad 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 is not a musician.,no +1564,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one u for which u will work and u will sleep and 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 listen to a song.,no +1565,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter or x is bored 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 carpenter.,no +1566,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will go running and 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 x is a carpenter.,no +1567,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x will sleep and x is a scientist and 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 take a plane.,no +1568,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is rich and x is a writer and 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 scientist.,no +1569,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a musician or x is a poet 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 a police officer.,no +1570,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 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 a taxi driver.,no +1571,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 server 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 politician.,no +1572,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a lawyer or x will play tennis 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 not curious.,no +1573,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 mechanic 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 not a police officer.,no +1574,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is a taxi driver and x is a server 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 not work.,no +1575,predicate,equivalent,existential associative laws,unrelated,Consider the following premises: There is at least one x for which x is an artist or x is sad 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 rich.,no +1576,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_2, u_2 will not drink water. There is at least one u_2 for which u_2 will sleep if and only if 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 +1577,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u for which u will cook if and only if u will work. Can we infer the following from them? Answer yes or no: For all u, the fact that u works does not imply that u is cooking.",no +1578,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will play tennis if and only if x will climb a mountain. 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 climbing a mountain.",no +1579,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all w_1, w_1 will read a book if and only if w_1 is a cashier. There is at least one w_1 for which w_1 is not a cashier. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will read a book.",no +1580,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x will not sleep. There is at least one x for which 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 make tea.",no +1581,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u, u is not a scientist. There is at least one u for which u is a scientist if and only if u is a sailor. Can we infer the following from them? Answer yes or no: For all u, u is a sailor.",no +1582,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all z_2, z_2 is a scientist if and only if z_2 will sleep. There is at least one z_2 for which z_2 is not a scientist. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will sleep.",no +1583,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all w, w is sad if and only if w is a mechanic. There is at least one w for which w is not a mechanic. Can we infer the following from them? Answer yes or no: For all w, w is sad.",no +1584,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is not a poet. For all x, x is a poet if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no +1585,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will go running if and only if x is a scientist. 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 a scientist.",no +1586,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will play squash if and only if x will climb 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 play squash.",no +1587,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x is not an electrician. There is at least one x for which x is an office clerk if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no +1588,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is a poet if and only if x is a server. 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 a server.",no +1589,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all x, x is a carpenter if and only if x will go running. There is at least one x for which x is not a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no +1590,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will go running if and only if x will sleep. For all x, x will not go running. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +1591,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one w for which w is a mechanic if and only if w is a carpenter. For all w, w is not a carpenter. Can we infer the following from them? Answer yes or no: For all w, w is a mechanic.",no +1592,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z for which z will not sleep. For all z, z will sleep if and only if 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 +1593,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x is not a scientist. For all x, x is a scientist if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no +1594,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one y for which y is a server if and only if y will cook. For all y, y is not a server. Can we infer the following from them? Answer yes or no: For all y, y will cook.",no +1595,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all z, z is fast if and only if z will play squash. There is at least one z for which z is not fast. Can we infer the following from them? Answer yes or no: For all z, z will play squash.",no +1596,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all w, w will not play a game. There is at least one w for which w is a janitor if and only if w will play a game. Can we infer the following from them? Answer yes or no: For all w, w is a janitor.",no +1597,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: For all u_3, u_3 is a janitor if and only if u_3 will drive a car. There is at least one u_3 for which u_3 will not drive a car. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is a janitor.",no +1598,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one x for which x will not cook. For all x, x will listen to a song if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +1599,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one z_2 for which z_2 will not sleep. For all z_2, z_2 will sleep if and only if z_2 is curious. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is curious.",no +1600,predicate,inference,existential biconditional elimination,contradiction,"Consider the following premises: There is at least one u for which u is not excited. For all u, u is excited if and only if u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will play tennis.",no +1601,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a mechanic 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 if x were a mechanic, then x is happy.",yes +1602,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w for which w will not work. For all w, w will read a book 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 will not read a book.",yes +1603,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one u for which u is not fast. For all u, u is fast if and only if 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 curious.",yes +1604,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one z for which z is a janitor if and only if z is a nurse. For all z, z is not 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 janitor.",yes +1605,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a nurse 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 if x cooks, then x is a nurse.",yes +1606,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x is not a sailor. There is at least one x for which x will make tea if and only if 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 make tea.",yes +1607,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one y for which y will write a letter if and only if y is a mechanic. 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 will not write a letter.",yes +1608,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w_2 for which w_2 will write a letter if and only if w_2 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which if w_2 writes a letter, then w_2 is taking a plane.",yes +1609,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is not a police officer. For all x, x will write a letter if and only if 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 not write a letter.",yes +1610,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x_1 for which x_1 is a scientist if and only if x_1 is rich. For all x_1, x_1 is not a scientist. 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 +1611,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is rich if and only if x will make tea. 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 will not make tea.",yes +1612,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w for which w will make tea 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 if w were a musician, then w is making tea.",yes +1613,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all z_1, z_1 is a nurse if and only if z_1 is a scientist. There is at least one z_1 for which z_1 is not a scientist. 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.",yes +1614,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x will drink water if and only if x will play 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 drink water.",yes +1615,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x will not cook. There is at least one x for which x is sad 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 is not sad.",yes +1616,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all w, w is bored if and only if w is rich. There is at least one w for which 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 not bored.",yes +1617,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one w for which w is an astronaut if and only if w is a writer. Can we infer the following from them? Answer yes or no: There is at least one w for which if w were a writer, then w is an astronaut.",yes +1618,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one z_2 for which z_2 is an artist if and only if z_2 is an office clerk. For all z_2, z_2 is not an artist. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is not an office clerk.",yes +1619,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 an electrician. 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 a lawyer.",yes +1620,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 office clerk. 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 office clerk.",yes +1621,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all w, w will take a plane if and only if w will climb a mountain. 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 climb a mountain.",yes +1622,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a doctor 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 a doctor.",yes +1623,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: For all x, x will make tea if and only if x will go running. 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 not make tea.",yes +1624,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a carpenter if and only if x is a soldier. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a soldier, then x is a carpenter.",yes +1625,predicate,inference,existential biconditional elimination,inference,"Consider the following premises: There is at least one x for which x is a nurse 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 if x were a nurse, then x is a scientist.",yes +1626,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one v for which v will cook 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 v will play a game.,no +1627,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is an astronaut 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 +1628,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 play tennis. 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 +1629,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 will 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 +1630,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one u_4 for which u_4 is excited if and only if u_4 is a lawyer. For all u_4, u_4 is not a lawyer. 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 +1631,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x_2 for which x_2 is excited if and only if x_2 is a musician. For all x_2, x_2 is not a musician. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which x_2 will take a plane.",no +1632,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one z for which z will go running if and only if 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 take a plane.,no +1633,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 is sad. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.,no +1634,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one u_4 for which u_4 will climb a mountain if and only if u_4 will read a book. For all u_4, u_4 will not read 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 write a letter.",no +1635,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is bored if and only if 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 drive a car.,no +1636,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x will play tennis if and only if x is a janitor. 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 not drive a car.",no +1637,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x is rich 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 bartender.,no +1638,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x_3 for which x_3 will write a letter if and only if x_3 is bored. For all x_3, x_3 will not write a letter. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not play squash.",no +1639,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will work if and only if x is bored. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,no +1640,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one x for which x will make tea 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 x is a bartender.,no +1641,predicate,inference,existential biconditional elimination,unrelated,Consider the following premises: There is at least one w for which w is a poet if and only if 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 not play tennis.,no +1642,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one w for which w is not a poet. For all w, w is a soldier if and only if w is a poet. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash.",no +1643,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 not a server.",no +1644,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x_2, x_2 is not poor. There is at least one x_2 for which x_2 will read a book if and only if x_2 is poor. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which x_2 is a mechanic.",no +1645,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x will go running if and only if x will sleep. 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 drink water.",no +1646,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one u for which u is not a sailor. For all u, u is a politician if and only if 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 not a musician.",no +1647,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all u_4, u_4 is not a bartender. There is at least one u_4 for which u_4 will write a letter if and only if 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 u_4 will drive a car.",no +1648,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is an electrician if and only if x is a lawyer. There is at least one x for which 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 work.",no +1649,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: For all x, x is not a taxi driver. There is at least one x for which x is a taxi driver 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 is a janitor.",no +1650,predicate,inference,existential biconditional elimination,unrelated,"Consider the following premises: There is at least one x for which x is not an artist. For all x, x will cook if and only if 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 nurse.",no +1651,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were rich, then x is an electrician. There is at least one x for which if x were an electrician, then x is rich. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is an electrician if and only if x is rich.",no +1652,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were curious, then x is a bartender. There is at least one x for which if x were a bartender, 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 a bartender if and only if x is curious.",no +1653,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all u_4, if u_4 works, then u_4 is running. 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: For all u_4, it is not true that u_4 will go running if and only if u_4 will work.",no +1654,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one w for which if w were curious, then w is sad. For all w, if w were sad, then w is curious. Can we infer the following from them? Answer yes or no: For all w, it is not true that w is sad if and only if w is curious.",no +1655,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one u_1 for which if u_1 cooks, then u_1 is a bartender. For all u_1, if u_1 were a bartender, then u_1 is cooking. Can we infer the following from them? Answer yes or no: For all u_1, it is not true that u_1 will cook if and only if u_1 is a bartender.",no +1656,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were bored, 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: For all x, it is not true that x is an office clerk if and only if x is bored.",no +1657,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a politician, then x is climbing a mountain. There is at least one x for which if x climbs a mountain, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a politician if and only if x will climb a mountain.",no +1658,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is playing a game. There is at least one x for which if x plays a game, 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 will play a game.",no +1659,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one z for which if z goes running, then z is an office clerk. For all z, if z were an office clerk, then z is running. Can we infer the following from them? Answer yes or no: For all z, it is not true that z will go running if and only if z is an office clerk.",no +1660,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is making tea. There is at least one x for which if x makes tea, 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 make tea if and only if x will play tennis.",no +1661,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one w_1 for which if w_1 plays tennis, then w_1 is sleeping. For all w_1, if w_1 sleeps, then w_1 is playing tennis. Can we infer the following from them? Answer yes or no: For all w_1, it is not true that w_1 will sleep if and only if w_1 will play tennis.",no +1662,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is drinking water. For all x, if x drinks water, then x is climbing a mountain. 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 will climb a mountain.",no +1663,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all u_1, if u_1 makes tea, then u_1 is a server. There is at least one u_1 for which if u_1 were a server, then u_1 is making tea. Can we infer the following from them? Answer yes or no: For all u_1, it is not true that u_1 is a server if and only if u_1 will make tea.",no +1664,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y were a police officer, then y is a soldier. For all y, if y were a soldier, then y is a police officer. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is a police officer if and only if y is a soldier.",no +1665,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one u_1 for which if u_1 drives a car, then u_1 is a janitor. For all u_1, if u_1 were a janitor, then u_1 is driving a car. Can we infer the following from them? Answer yes or no: For all u_1, it is not true that u_1 will drive a car if and only if u_1 is a janitor.",no +1666,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y plays tennis, then y is a lawyer. For all y, if y were a lawyer, then y is playing tennis. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will play tennis if and only if y is a lawyer.",no +1667,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one x for which if x drives a car, then x is a janitor. For all x, if x were a janitor, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, it is not true that x will drive a car if and only if x is a janitor.",no +1668,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all y, if y were a nurse, then y is bored. There is at least one y for which if y were bored, then y is a nurse. Can we infer the following from them? Answer yes or no: For all y, it is not true that y is bored if and only if y is a nurse.",no +1669,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is bored. There is at least one x for which if x were bored, 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 bored.",no +1670,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one y for which if y climbs a mountain, then y is reading a book. For all y, if y reads a book, then y is climbing a mountain. Can we infer the following from them? Answer yes or no: For all y, it is not true that y will read a book if and only if y will climb a mountain.",no +1671,predicate,inference,existential biconditional introduction,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 were a sailor, then x is writing a letter. 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 a sailor.",no +1672,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all u_4, if u_4 were an electrician, then u_4 is a nurse. There is at least one u_4 for which if u_4 were a nurse, then u_4 is an electrician. Can we infer the following from them? Answer yes or no: For all u_4, it is not true that u_4 is a nurse if and only if u_4 is an electrician.",no +1673,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: There is at least one w_1 for which if w_1 plays a game, then w_1 is making tea. For all w_1, if w_1 makes tea, then w_1 is playing a game. Can we infer the following from them? Answer yes or no: For all w_1, it is not true that w_1 will make tea if and only if w_1 will play a game.",no +1674,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all u_4, if u_4 plays tennis, then u_4 is a scientist. There is at least one u_4 for which if u_4 were a scientist, then u_4 is playing tennis. Can we infer the following from them? Answer yes or no: For all u_4, it is not true that u_4 is a scientist if and only if u_4 will play tennis.",no +1675,predicate,inference,existential biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a doctor, then x is drinking water. There is at least one x for which if x drinks water, then x is a doctor. 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 doctor.",no +1676,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one x_4 for which if x_4 plays squash, then x_4 is a bartender. For all x_4, if x_4 were a bartender, then x_4 is playing squash. 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 if and only if x_4 is a bartender.",yes +1677,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one w for which if w were a doctor, then w is a writer. For all w, if w were a writer, 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 is a writer if and only if w is a doctor.",yes +1678,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y_3, if y_3 were a police officer, then y_3 is an office clerk. There is at least one y_3 for which if y_3 were an office clerk, then y_3 is a police officer. 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 if and only if y_3 is a police officer.",yes +1679,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one z for which if z were an electrician, then z is cooking. For all z, if z cooks, then z is an electrician. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an electrician if and only if z will cook.",yes +1680,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x_4, if x_4 were fast, then x_4 is curious. There is at least one x_4 for which if x_4 were curious, 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 is curious if and only if x_4 is fast.",yes +1681,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y_3, if y_3 were curious, then y_3 is sleeping. There is at least one y_3 for which if y_3 sleeps, then y_3 is curious. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will sleep if and only if y_3 is curious.",yes +1682,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y_2, if y_2 plays tennis, then y_2 is sleeping. There is at least one y_2 for which if y_2 sleeps, then y_2 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will play tennis if and only if y_2 will sleep.",yes +1683,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_3, if u_3 goes running, then u_3 is driving a car. There is at least one u_3 for which if u_3 drives a car, then u_3 is running. 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 if and only if u_3 will drive a car.",yes +1684,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y_3 for which if y_3 drives a car, then y_3 is drinking water. For all y_3, if y_3 drinks water, then y_3 is driving a car. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will drive a car if and only if y_3 will drink water.",yes +1685,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y_2 for which if y_2 were an artist, then y_2 is rich. For all y_2, if y_2 were rich, then 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 is rich if and only if y_2 is an artist.",yes +1686,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y for which if y drinks water, then y is fast. For all y, if y were fast, 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 if and only if y is fast.",yes +1687,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all u_3, if u_3 were a soldier, then u_3 is taking a plane. There is at least one u_3 for which if u_3 takes a plane, then u_3 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a soldier if and only if u_3 will take a plane.",yes +1688,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one z for which if z listens to a song, then z is working. For all z, if z works, 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 z will listen to a song if and only if z will work.",yes +1689,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y for which if y makes tea, then y is a janitor. For all y, if y were a janitor, then y is making tea. 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 is a janitor.",yes +1690,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one u_3 for which if u_3 cooks, then u_3 is a scientist. For all u_3, if u_3 were a scientist, then u_3 is cooking. 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 if and only if u_3 will cook.",yes +1691,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y_2, if y_2 were a cashier, then y_2 is listening to a song. There is at least one y_2 for which if y_2 listens to a song, then y_2 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 is a cashier if and only if y_2 will listen to a song.",yes +1692,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one z for which if z were an electrician, then z is a lawyer. For all z, if z were a lawyer, then z is an electrician. Can we infer the following from them? Answer yes or no: There is at least one z for which z is an electrician if and only if z is a lawyer.",yes +1693,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one y_3 for which if y_3 were an astronaut, then y_3 is taking a plane. For all y_3, if y_3 takes a plane, 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 an astronaut if and only if y_3 will take a plane.",yes +1694,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one z for which if z were a cashier, then z is making tea. For all z, if z makes tea, 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 a cashier if and only if z will make tea.",yes +1695,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all y_2, if y_2 were poor, then y_2 is excited. There is at least one y_2 for which if y_2 were excited, then 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 poor if and only if y_2 is excited.",yes +1696,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one z for which if z were poor, then z is running. For all z, if z goes running, then z is poor. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running if and only if z is poor.",yes +1697,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all z, if z climbs a mountain, then z is writing a letter. There is at least one z for which if z writes a letter, then z is climbing 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 if and only if z will climb a mountain.",yes +1698,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: There is at least one w for which if w plays a game, then w is sleeping. For all w, if w sleeps, 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 sleep if and only if w will play a game.",yes +1699,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x_4, if x_4 were a nurse, then x_4 is a doctor. There is at least one x_4 for which if x_4 were a doctor, then x_4 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a doctor if and only if x_4 is a nurse.",yes +1700,predicate,inference,existential biconditional introduction,inference,"Consider the following premises: For all x, if x were a janitor, then x is a lawyer. There is at least one x for which if x were a lawyer, 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 if and only if x is a lawyer.",yes +1701,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a carpenter, then x is writing a letter. There is at least one x for which if x writes a letter, 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 write a letter.",no +1702,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x_4 for which if x_4 makes tea, then x_4 is cooking. For all x_4, if x_4 cooks, then x_4 is making tea. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will make tea.",no +1703,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one w_3 for which if w_3 were a cashier, then w_3 is a sailor. For all w_3, if w_3 were a sailor, 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 sailor.",no +1704,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 working. 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 work.",no +1705,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x_4, if x_4 were a lawyer, then x_4 is a cashier. There is at least one x_4 for which if x_4 were a cashier, then x_4 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a cashier.",no +1706,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x takes a plane, then x is playing squash. For all x, if x plays squash, 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.",no +1707,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one v_4 for which if v_4 plays squash, then v_4 is a scientist. For all v_4, if v_4 were a scientist, then v_4 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 is a scientist.",no +1708,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were a nurse, then x is rich. For all x, if x were rich, 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 rich.",no +1709,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one y for which if y works, then y is sleeping. For all y, if y sleeps, then y is working. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.",no +1710,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were bored, then x is driving a car. For all x, if x drives a car, 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.",no +1711,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one w for which if w reads a book, then w is an artist. For all w, if w were an artist, then w is reading a book. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an artist.",no +1712,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 goes running, then v_3 is climbing a mountain. There is at least one v_3 for which if v_3 climbs a mountain, 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 go running.",no +1713,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 a soldier. For all x, if x were a soldier, 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.",no +1714,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is reading a book. There is at least one x for which if x reads a book, 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 will read a book.",no +1715,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one x for which if x were fast, then x is climbing a mountain. For all x, if x climbs a mountain, 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 climb a mountain.",no +1716,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one w for which if w were an electrician, then w is happy. For all w, if w were happy, then w is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w for which w is happy.",no +1717,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one w_3 for which if w_3 were a soldier, then w_3 is working. For all w_3, if w_3 works, then 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 will work.",no +1718,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 cooking. 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 drive a car.",no +1719,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u were curious, then u is playing squash. For all u, if u plays squash, then u is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u will play squash.",no +1720,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u were curious, then u is a musician. For all u, if u were a musician, then u is curious. Can we infer the following from them? Answer yes or no: There is at least one u for which u is curious.",no +1721,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one u for which if u makes tea, then u is bored. For all u, if u were bored, then u is making tea. Can we infer the following from them? Answer yes or no: There is at least one u for which u is bored.",no +1722,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one y for which if y makes tea, then y is writing a letter. For all y, if y writes a letter, then y is making 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 +1723,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: There is at least one v_3 for which if v_3 goes running, then v_3 is a writer. For all v_3, if v_3 were a writer, 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 go running.",no +1724,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all y_1, if y_1 were a cashier, then y_1 is listening to a song. There is at least one y_1 for which if y_1 listens to a song, then y_1 is a cashier. 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.",no +1725,predicate,inference,existential biconditional introduction,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is driving a car. There is at least one x for which if x drives a car, 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 +1726,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 is an artist. 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 an artist and the claim that if x were an artist, then x is taking a plane cannot both be true.",no +1727,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_3 for which if v_3 climbs a mountain, then v_3 is a scientist and if v_3 were a scientist, then v_3 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all v_3, it is not true that v_3 will climb a mountain if and only if v_3 is a scientist.",no +1728,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_3 for which if v_3 goes running, then v_3 is a scientist and if v_3 were a scientist, then v_3 is running. Can we infer the following from them? Answer yes or no: For all v_3, it is not true that v_3 will go running if and only if v_3 is a scientist.",no +1729,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then x is rich and if x were rich, then x is writing a letter. 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 rich.",no +1730,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a politician, then x is a nurse and if x were a nurse, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a politician if and only if x is a nurse.",no +1731,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, then x is sleeping and if x sleeps, 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 will sleep.",no +1732,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v_3 for which if v_3 sleeps, then v_3 is a mechanic and if v_3 were a mechanic, then v_3 is sleeping. Can we infer the following from them? Answer yes or no: For all v_3, it is not true that v_3 will sleep if and only if v_3 is a mechanic.",no +1733,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one u for which u will work if and only if u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, the claim that if u works, then u is a taxi driver and the claim that if u were a taxi driver, then u is working cannot both be true.",no +1734,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is playing squash and if x plays squash, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is an astronaut if and only if x will play squash.",no +1735,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which x is rich if and only if x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, the claim that if x were rich, then x is listening to a song and the claim that if x listens to a song, then x is rich cannot both be true.",no +1736,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a nurse, then x is a lawyer and if x were a lawyer, then x is a nurse. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is a nurse if and only if x is a lawyer.",no +1737,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then x is a lawyer and if x were a lawyer, then x is writing a letter. 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 a lawyer.",no +1738,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x sleeps, then x is playing a game and if x plays a game, 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 sleep if and only if x will play a game.",no +1739,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 is a politician. 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 a politician and the claim that if x were a politician, then x is a musician cannot both be true.",no +1740,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one z for which if z were a soldier, then z is a politician and if z were a politician, then z is a soldier. Can we infer the following from them? Answer yes or no: For all z, it is not true that z is a soldier if and only if z is a politician.",no +1741,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x cooks, then x is playing a game and if x plays a game, 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 cook if and only if x will play a game.",no +1742,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one v for which v is bored if and only if v is rich. Can we infer the following from them? Answer yes or no: For all v, the claim that if v were bored, then v is rich and the claim that if v were rich, then v is bored cannot both be true.",no +1743,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 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, it is not true that x is a writer if and only if x is a lawyer.",no +1744,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one u for which u is a mechanic if and only if u will play a game. Can we infer the following from them? Answer yes or no: For all u, the claim that if u were a mechanic, then u is playing a game and the claim that if u plays a game, then u is a mechanic cannot both be true.",no +1745,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were fast, then x is happy and if x were happy, then x is fast. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is fast if and only if x is happy.",no +1746,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x listens to a song, then x is excited and if x were excited, 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 excited.",no +1747,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 carpenter. 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 carpenter and the claim that if x were a carpenter, then x is running cannot both be true.",no +1748,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one u for which u will write a letter if and only if u is an astronaut. Can we infer the following from them? Answer yes or no: For all u, the claim that if u writes a letter, then u is an astronaut and the claim that if u were an astronaut, then u is writing a letter cannot both be true.",no +1749,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one u for which u will listen to a song if and only if u is curious. Can we infer the following from them? Answer yes or no: For all u, the claim that if u listens to a song, then u is curious and the claim that if u were curious, then u is listening to a song cannot both be true.",no +1750,predicate,equivalent,existential biconditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were poor, then x is climbing a mountain and if x climbs a mountain, then x is poor. Can we infer the following from them? Answer yes or no: For all x, it is not true that x is poor if and only if x will climb a mountain.",no +1751,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 excited and if x were excited, 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 excited.",yes +1752,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one y for which if y were an artist, then y is writing a letter and if y writes a letter, then 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 an artist if and only if y will write a letter.",yes +1753,predicate,equivalent,existential biconditional laws,inference,"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: There is at least one x for which if x takes a plane, then x is reading a book and if x reads a book, then x is taking a plane.",yes +1754,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a bartender, then x is making tea and if x makes tea, 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 if and only if x will make tea.",yes +1755,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x listens to a song, then x is making tea and if x makes tea, 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 if and only if x will make tea.",yes +1756,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u for which if u were a police officer, then u is an astronaut and if u were an astronaut, 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 if and only if u is an astronaut.",yes +1757,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 poet and if x were a poet, 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 poet.",yes +1758,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a politician if and only if 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 were a politician, then x is a musician and if x were a musician, then x is a politician.",yes +1759,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is an artist 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 were an artist, then x is reading a book and if x reads a book, then x is an artist.",yes +1760,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one z_2 for which z_2 is a janitor 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 if z_2 were a janitor, then z_2 is climbing a mountain and if z_2 climbs a mountain, then z_2 is a janitor.",yes +1761,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is an office clerk 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 were an office clerk, then x is a poet and if x were a poet, then x is an office clerk.",yes +1762,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x climbs a mountain, then x is drinking water and if x drinks water, 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 if and only if x will drink water.",yes +1763,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a politician 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 if x were a politician, then x is an office clerk and if x were an office clerk, then x is a politician.",yes +1764,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is rich 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 if x were rich, then x is driving a car and if x drives a car, then x is rich.",yes +1765,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a doctor if and only if 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 doctor, then x is a server and if x were a server, then x is a doctor.",yes +1766,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a soldier, then x is reading a book and if x reads a book, 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 soldier if and only if x will read a book.",yes +1767,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one y for which if y were an artist, then y is a cashier and if y were a cashier, then 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 an artist if and only if y is a cashier.",yes +1768,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x plays squash, then x is a politician and if x were a politician, 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 play squash if and only if x is a politician.",yes +1769,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 cooking and 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 x will read a book if and only if x will cook.",yes +1770,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x goes running, then x is sad and if x were sad, 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 if and only if x is sad.",yes +1771,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x will climb a mountain if and only if 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 climbs a mountain, then x is drinking water and if x drinks water, then x is climbing a mountain.",yes +1772,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one u for which if u were a scientist, then u is playing squash and if u plays squash, then 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 a scientist if and only if u will play squash.",yes +1773,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is a politician and if x were a politician, 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 politician.",yes +1774,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one x for which x is a soldier if and only if 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 a soldier, then x is an artist and if x were an artist, then x is a soldier.",yes +1775,predicate,equivalent,existential biconditional laws,inference,"Consider the following premises: There is at least one z for which if z were a poet, then z is drinking water and if z drinks water, then z is a poet. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a poet if and only if z will drink water.",yes +1776,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 a scientist and if x were a scientist, 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 not work.",no +1777,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x makes tea, then x is sleeping and if x sleeps, 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 play tennis.",no +1778,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x_4 for which if x_4 were a scientist, then x_4 is driving a car and if x_4 drives a car, then x_4 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is not a police officer.",no +1779,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 were a server, then w_4 is bored and if w_4 were bored, then w_4 is a server. 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 +1780,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x_4 for which if x_4 plays tennis, then x_4 is a doctor and if x_4 were a doctor, then x_4 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 will drink water.",no +1781,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one z for which if z were happy, then z is an office clerk and if z were an office clerk, then z is happy. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running.",no +1782,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z_4 for which z_4 will go running if and only if 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 will not play squash.,no +1783,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z is a carpenter if and only if z will make tea. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not a doctor.,no +1784,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 curious. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.,no +1785,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one z for which z is a police officer 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 is a taxi driver.,no +1786,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is a lawyer if and only if w_1 is poor. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not read a book.,no +1787,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v plays tennis, then v is a carpenter and if v were a carpenter, 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 is a police officer.",no +1788,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were a doctor, then v is working and 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 v is not a sailor.",no +1789,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one x for which x will work 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 x will sleep.,no +1790,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is poor if and only if w_1 will make tea. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not work.,no +1791,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 were an artist, then w_4 is an office clerk and if w_4 were an office clerk, then 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 will cook.",no +1792,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is sad if and only if 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 will not play a game.,no +1793,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one u for which u is bored 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 is not a janitor.,no +1794,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x takes a plane, then x is a lawyer and if x were a lawyer, 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 go running.",no +1795,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 sad and if x were sad, 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 bartender.",no +1796,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one x for which if x works, then x is running and if x goes running, 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 not bored.",no +1797,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one u for which u is a taxi driver 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 is a poet.,no +1798,predicate,equivalent,existential biconditional laws,unrelated,Consider the following premises: There is at least one y for which y is a writer if and only if 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 not drive a car.,no +1799,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one z for which if z were a taxi driver, then z is playing squash and if z plays squash, then 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 not a janitor.",no +1800,predicate,equivalent,existential biconditional laws,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 climbs a mountain, then w_4 is making tea and if w_4 makes tea, then w_4 is climbing 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 not drink water.",no +1801,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is a carpenter or x is sad. Can we infer the following from them? Answer yes or no: For all x, neither x is sad nor x is a carpenter.",no +1802,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 will play squash and y_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all y_4, the claim that y_4 will climb a mountain and the claim that y_4 will play squash cannot both be true.",no +1803,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which 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 sleep and the claim that x is an office clerk cannot both be true.",no +1804,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is a cashier or 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 cashier.",no +1805,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 +1806,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will play squash and 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 will play squash cannot both be true.",no +1807,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is happy 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 +1808,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some politicians will cook. Can we infer the following from them? Answer yes or no: For all x_3, the claim that x_3 will cook and the claim that x_3 is a politician cannot both be true.",no +1809,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one v for which v will listen to a song 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 will listen to a song.",no +1810,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 is fast and y_4 will drive a car. Can we infer the following from them? Answer yes or no: For all y_4, the claim that y_4 will drive a car and the claim that y_4 is fast cannot both be true.",no +1811,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 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 climb a mountain.",no +1812,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one w for which w is curious or w is a bartender. Can we infer the following from them? Answer yes or no: For all w, neither w is a bartender nor w is curious.",no +1813,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane 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 will take a plane cannot both be true.",no +1814,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will play a game or x is a politician. Can we infer the following from them? Answer yes or no: For all x, neither x is a politician nor x will play a game.",no +1815,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some bartenders 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 a bartender cannot both be true.",no +1816,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will take a plane or x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x is fast nor x will take a plane.",no +1817,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one y_4 for which y_4 is an electrician and y_4 will make tea. Can we infer the following from them? Answer yes or no: For all y_4, the claim that y_4 will make tea and the claim that y_4 is an electrician cannot both be true.",no +1818,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is a taxi driver and 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 taxi driver cannot both be true.",no +1819,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one z for which z will climb a mountain or z will work. Can we infer the following from them? Answer yes or no: For all z, neither z will work nor z will climb a mountain.",no +1820,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one w for which w will listen to a song or w will play squash. Can we infer the following from them? Answer yes or no: For all w, neither w will play squash nor w will listen to a song.",no +1821,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: Some cashiers are lawyers. 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 cashier cannot both be true.",no +1822,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x is an astronaut or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, neither x will climb a mountain nor x is an astronaut.",no +1823,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 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 climb a mountain cannot both be true.",no +1824,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one u for which u is excited and u is a cashier. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a cashier and the claim that u is excited cannot both be true.",no +1825,predicate,equivalent,existential commutative laws,contradiction,"Consider the following premises: There is at least one x for which x will read a book 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 read a book.",no +1826,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a soldier 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 soldier.,yes +1827,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 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 go running.,yes +1828,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 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 or x is a soldier.,yes +1829,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will listen to a song and 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 will play a game and x_1 will listen to a song.,yes +1830,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is bored 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 bored.,yes +1831,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which 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 x is a taxi driver or x will play tennis.,yes +1832,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 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 cook.,yes +1833,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is excited 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 excited.,yes +1834,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will go running and 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 will climb a mountain and x_1 will go running.,yes +1835,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 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 write a letter.,yes +1836,predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some servers 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 will climb a mountain and x_1 is a server.,yes +1837,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is a politician 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 politician.,yes +1838,predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some cashiers are doctors. Can we infer the following from them? Answer yes or no: Some doctors are cashiers.,yes +1839,predicate,equivalent,existential commutative laws,inference,Consider the following premises: Some cashiers are servers. Can we infer the following from them? Answer yes or no: Some servers are cashiers.,yes +1840,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x is an artist 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 an artist.,yes +1841,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one u for which u is an office clerk and 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 make tea and u is an office clerk.,yes +1842,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will play squash 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 or x will play squash.,yes +1843,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will make tea 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 is an astronaut and x will make tea.,yes +1844,predicate,equivalent,existential commutative laws,inference,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: There is at least one x for which x will drive a car and x will work.,yes +1845,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will play squash and x_1 is a bartender. Can we infer the following from them? Answer yes or no: Some bartenders will play squash.,yes +1846,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 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 cook.,yes +1847,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will take a plane and x_1 is a poet. Can we infer the following from them? Answer yes or no: Some poets will take a plane.,yes +1848,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will drink water 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 is a mechanic or x will drink water.,yes +1849,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which 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 a soldier or x is poor.,yes +1850,predicate,equivalent,existential commutative laws,inference,Consider the following premises: There is at least one x for which x will 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 x is a doctor or x will play squash.,yes +1851,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some soldiers 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 cook.,no +1852,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will drive a car 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 play a game.,no +1853,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: Some janitors will take 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 not climb a mountain.,no +1854,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will play squash 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 go running.,no +1855,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will climb a mountain 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 will write a letter.,no +1856,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one z_1 for which z_1 is an astronaut and z_1 is a police officer. 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 server.,no +1857,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will play a game 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 w is not a bartender.,no +1858,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one u for which u will sleep or u is a doctor. 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 +1859,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 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 read a book.,no +1860,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will sleep 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 write a letter.,no +1861,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is excited 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 fast.,no +1862,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one u for which u is a bartender or 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 drive a car.,no +1863,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will sleep 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 read a book.,no +1864,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will sleep and 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 lawyer.,no +1865,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will drive a car and 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 +1866,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one u for which u is a nurse or u is excited. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a carpenter.,no +1867,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x will cook 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 not an office clerk.,no +1868,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one v for which v will drink water 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 not a writer.,no +1869,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 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.,no +1870,predicate,equivalent,existential commutative laws,unrelated,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: There is at least one x for which x is happy.,no +1871,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is a doctor 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 sad.,no +1872,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one w for which w will play tennis 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 w will drink water.,no +1873,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 is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,no +1874,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which 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 x will write a letter.,no +1875,predicate,equivalent,existential commutative laws,unrelated,Consider the following premises: There is at least one x for which x is bored 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 a janitor.,no +1876,predicate,equivalent,existential complement laws,contradiction,"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: For all x, x is not rich.",no +1877,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 +1878,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u is a bartender. Can we infer the following from them? Answer yes or no: For all u, u is not a bartender.",no +1879,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x_4 for which x_4 will listen to a song. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will not listen to a song.",no +1880,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x_4 for which x_4 will make tea. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will not make tea.",no +1881,predicate,equivalent,existential complement laws,contradiction,"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: For all y, y will not make tea.",no +1882,predicate,equivalent,existential complement laws,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, x will not listen to a song.",no +1883,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one y for which y is a politician. Can we infer the following from them? Answer yes or no: For all y, y is not a politician.",no +1884,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 +1885,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 +1886,predicate,equivalent,existential complement laws,contradiction,"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: For all u, u will not take a plane.",no +1887,predicate,equivalent,existential complement laws,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, x is not a mechanic.",no +1888,predicate,equivalent,existential complement laws,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, x will not make tea.",no +1889,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u is a writer. Can we infer the following from them? Answer yes or no: For all u, u is not a writer.",no +1890,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one x_4 for which x_4 will go running. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will not go running.",no +1891,predicate,equivalent,existential complement laws,contradiction,"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: For all x, x is not poor.",no +1892,predicate,equivalent,existential complement laws,contradiction,"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: For all z, z will not play a game.",no +1893,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one y for which y is bored. Can we infer the following from them? Answer yes or no: For all y, y is not bored.",no +1894,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u will cook. Can we infer the following from them? Answer yes or no: For all u, u will not cook.",no +1895,predicate,equivalent,existential complement laws,contradiction,"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: For all x, x is not a police officer.",no +1896,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u will drive a car. Can we infer the following from them? Answer yes or no: For all u, u will not drive a car.",no +1897,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: 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, u is not rich.",no +1898,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 +1899,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one z for which z is a cashier. Can we infer the following from them? Answer yes or no: For all z, z is not a cashier.",no +1900,predicate,equivalent,existential complement laws,contradiction,"Consider the following premises: There is at least one u for which u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is not a doctor.",no +1901,predicate,equivalent,existential complement laws,inference,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: There is at least one w for which w will sleep.,yes +1902,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 +1903,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one x for which 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.,yes +1904,predicate,equivalent,existential complement laws,inference,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: There is at least one u for which u is a sailor.,yes +1905,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w_1 for which w_1 is poor. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is poor.,yes +1906,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z for which 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 sailor.,yes +1907,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 +1908,predicate,equivalent,existential complement laws,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.,yes +1909,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one u_1 for which 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 server.,yes +1910,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w_1 for which 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 +1911,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one w_1 for which w_1 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is a nurse.,yes +1912,predicate,equivalent,existential complement laws,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.,yes +1913,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 +1914,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 +1915,predicate,equivalent,existential complement laws,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.,yes +1916,predicate,equivalent,existential complement laws,inference,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: There is at least one x for which x will drive a car.,yes +1917,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 +1918,predicate,equivalent,existential complement laws,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.,yes +1919,predicate,equivalent,existential complement laws,inference,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 is happy.,yes +1920,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one u_1 for which u_1 will play a game. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will play a game.,yes +1921,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one v_3 for which 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 a janitor.,yes +1922,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one z for which 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.,yes +1923,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 +1924,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 +1925,predicate,equivalent,existential complement laws,inference,Consider the following premises: There is at least one u_1 for which 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 sleep.,yes +1926,predicate,equivalent,existential complement laws,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 will not drive a car.,no +1927,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v_2 for which v_2 is a scientist. 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 +1928,predicate,equivalent,existential complement laws,unrelated,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: There is at least one z for which z is a police officer.,no +1929,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_1 for which 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 drive a car.,no +1930,predicate,equivalent,existential complement laws,unrelated,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 not poor.,no +1931,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which 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 +1932,predicate,equivalent,existential complement laws,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 is not an office clerk.,no +1933,predicate,equivalent,existential complement laws,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 a musician.,no +1934,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v_2 for which v_2 is a nurse. 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 +1935,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one y_1 for which 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 not climb a mountain.,no +1936,predicate,equivalent,existential complement laws,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 not a server.,no +1937,predicate,equivalent,existential complement laws,unrelated,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: There is at least one x for which x will climb a mountain.,no +1938,predicate,equivalent,existential complement laws,unrelated,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: There is at least one z for which z is not happy.,no +1939,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 curious.,no +1940,predicate,equivalent,existential complement laws,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 curious.,no +1941,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one z for which 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 server.,no +1942,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 excited.,no +1943,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one x for which 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 +1944,predicate,equivalent,existential complement laws,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 will not drive a car.,no +1945,predicate,equivalent,existential complement laws,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 climb a mountain.,no +1946,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v_2 for which v_2 will write 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 play a game.,no +1947,predicate,equivalent,existential complement laws,unrelated,Consider the following premises: There is at least one v for which 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 not play a game.,no +1948,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 not make tea.,no +1949,predicate,equivalent,existential complement laws,unrelated,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 will climb a mountain.,no +1950,predicate,equivalent,existential complement laws,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 will not read a book.,no +1951,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x sleeps, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, neither x will not sleep nor x is a carpenter.",no +1952,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v_3 for which v_3 is not bored or v_3 will write a letter. Can we infer the following from them? Answer yes or no: For all v_3, the fact that v_3 were bored does not imply that v_3 is writing a letter.",no +1953,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y will not play squash or y will drink water. Can we infer the following from them? Answer yes or no: For all y, the fact that y plays squash does not imply that y is drinking water.",no +1954,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not rich or x will drive 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 driving a car.",no +1955,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not listen to a song or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, the fact that x listens to a song does not imply that x is taking a plane.",no +1956,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y_1 for which if y_1 works, then y_1 is happy. Can we infer the following from them? Answer yes or no: For all y_1, neither y_1 will not work nor y_1 is happy.",no +1957,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were a politician, then v is a musician. Can we infer the following from them? Answer yes or no: For all v, neither v is not a politician nor v is a musician.",no +1958,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 playing tennis. Can we infer the following from them? Answer yes or no: For all v, neither v is not an artist nor v will play tennis.",no +1959,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one u for which u will not work or u will play squash. Can we infer the following from them? Answer yes or no: For all u, the fact that u works does not imply that u is playing squash.",no +1960,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were bored, then v is driving a car. Can we infer the following from them? Answer yes or no: For all v, neither v is not bored nor v will drive a car.",no +1961,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not a nurse or x is poor. 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 poor.",no +1962,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y_1 for which if y_1 were a poet, then y_1 is a carpenter. Can we infer the following from them? Answer yes or no: For all y_1, neither y_1 is not a poet nor y_1 is a carpenter.",no +1963,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a server, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, neither x is not a server nor x will drive a car.",no +1964,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one u for which u will not cook or u is a bartender. Can we infer the following from them? Answer yes or no: For all u, the fact that u cooks does not imply that u is a bartender.",no +1965,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were a janitor, then x is poor. Can we infer the following from them? Answer yes or no: For all x, neither x is not a janitor nor x is poor.",no +1966,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y_1 for which if y_1 were a taxi driver, then y_1 is excited. Can we infer the following from them? Answer yes or no: For all y_1, neither y_1 is not a taxi driver nor y_1 is excited.",no +1967,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which if x were an office clerk, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, neither x is not an office clerk nor x will play a game.",no +1968,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x will not play tennis or x will drink water. 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 drinking water.",no +1969,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y_1 for which if y_1 drives a car, then y_1 is an artist. Can we infer the following from them? Answer yes or no: For all y_1, neither y_1 will not drive a car nor y_1 is an artist.",no +1970,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one x for which x is not bored or x is fast. Can we infer the following from them? Answer yes or no: For all x, the fact that x were bored does not imply that x is fast.",no +1971,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which v is not a server or v will make tea. Can we infer the following from them? Answer yes or no: For all v, the fact that v were a server does not imply that v is making tea.",no +1972,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one y for which y will not cook or y is a sailor. 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 a sailor.",no +1973,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v_3 for which v_3 will not work or v_3 is an astronaut. Can we infer the following from them? Answer yes or no: For all v_3, the fact that v_3 works does not imply that v_3 is an astronaut.",no +1974,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 janitor. 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 janitor.",no +1975,predicate,equivalent,existential conditional laws,contradiction,"Consider the following premises: There is at least one v for which if v were a bartender, then v is reading a book. Can we infer the following from them? Answer yes or no: For all v, neither v is not a bartender nor v will read a book.",no +1976,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not take a plane 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 takes a plane, then x is playing squash.",yes +1977,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not take a plane 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 takes a plane, then x is playing squash.",yes +1978,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 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 make tea or x will drive a car.",yes +1979,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not climb a mountain or x is rich. 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 rich.",yes +1980,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not an astronaut or 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 were an astronaut, then x is making tea.",yes +1981,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x will not take a plane or 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 takes a plane, then x is a mechanic.",yes +1982,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one u for which u will not play tennis or u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which if u plays tennis, then u is making tea.",yes +1983,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x drinks water, 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 not drink water or x is sad.",yes +1984,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which if y works, then 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 work or y is rich.",yes +1985,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not excited 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 if x were excited, then x is an office clerk.",yes +1986,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 driving 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 doctor or x will drive a car.",yes +1987,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which y will not drink water or y is a doctor. Can we infer the following from them? Answer yes or no: There is at least one y for which if y drinks water, then y is a doctor.",yes +1988,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were a mechanic, then 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 mechanic or x is a lawyer.",yes +1989,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one u for which u is not happy or u is a carpenter. 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 carpenter.",yes +1990,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 doctor. 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 doctor.",yes +1991,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one v for which if v cooks, 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 not cook or v will read a book.",yes +1992,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z for which if z were fast, 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 fast or z will take a plane.",yes +1993,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which y is not curious 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 if y were curious, then y is reading a book.",yes +1994,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z for which if z goes running, 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 will not go running or z will take a plane.",yes +1995,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one z for which if z plays tennis, then 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 play tennis or z is an electrician.",yes +1996,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not an astronaut 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 if x were an astronaut, then x is playing a game.",yes +1997,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which if x were sad, 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 sad or x will cook.",yes +1998,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one y for which y will not play tennis or 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 if y plays tennis, then y is listening to a song.",yes +1999,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 bored. 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 is bored.",yes +2000,predicate,equivalent,existential conditional laws,inference,"Consider the following premises: There is at least one x for which x is not 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 if x were rich, then x is a janitor.",yes +2001,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one u_2 for which if u_2 listens to a song, then 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 writer.",no +2002,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one w for which w will not drink water or 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 an astronaut.,no +2003,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v were rich, 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 not make tea.",no +2004,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a poet 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 politician.,no +2005,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v listens to a song, then v is a poet. 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 +2006,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a poet, 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 a server.",no +2007,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one y for which y will not take a plane or y will play tennis. 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.,no +2008,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x will not play a game 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 server.,no +2009,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were sad, 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 bartender.",no +2010,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one y_3 for which if y_3 sleeps, then y_3 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 is not a bartender.",no +2011,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 will not listen to a song or y_4 will take a plane. 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 +2012,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 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 nurse.,no +2013,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one y_3 for which if y_3 were an artist, then y_3 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will not write a letter.",no +2014,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v listens to a song, 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 is a taxi driver.",no +2015,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 is not a politician.,no +2016,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one w for which w is not 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 listen to a song.,no +2017,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one x for which x is not a lawyer 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 play a game.,no +2018,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one w_4 for which if w_4 were a mechanic, then w_4 is a nurse. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is not bored.",no +2019,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one y for which y will not make tea or y is a politician. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a carpenter.,no +2020,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v cooks, 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 will not take a plane.",no +2021,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which 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 x will not cook.",no +2022,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one x for which if x were a police officer, 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 a game.",no +2023,predicate,equivalent,existential conditional laws,unrelated,"Consider the following premises: There is at least one v for which if v cooks, 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 not drink water.",no +2024,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one y_4 for which y_4 is not excited or y_4 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is not fast.,no +2025,predicate,equivalent,existential conditional laws,unrelated,Consider the following premises: There is at least one y for which y is not happy or 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 not drink water.,no +2026,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which 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, the claim that x will go running and the claim that x will drink water cannot both be true.",no +2027,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 musician. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a musician and the claim that x will work cannot both be true.",no +2028,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is excited. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, the claim that x is excited and the claim that x will play squash cannot both be true.",no +2029,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will take a plane. For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, the claim that x will take a plane and the claim that x is a writer cannot both be true.",no +2030,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x will play squash. There is at least one x for which x will climb a mountain. 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 will climb a mountain cannot both be true.",no +2031,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is a cashier. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, the claim that x will go running and the claim that x is a cashier cannot both be true.",no +2032,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one v for which v will climb a mountain. For all v, v is a writer. Can we infer the following from them? Answer yes or no: For all v, the claim that v is a writer and the claim that v will climb a mountain cannot both be true.",no +2033,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x is rich. For all x, 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 rich cannot both be true.",no +2034,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one u_2 for which u_2 is a bartender. For all u_2, u_2 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_2, the claim that u_2 is a bartender and the claim that u_2 will climb a mountain cannot both be true.",no +2035,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one z for which z will read a book. For all z, z is a writer. Can we infer the following from them? Answer yes or no: For all z, the claim that z will read a book and the claim that z is a writer cannot both be true.",no +2036,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_2, u_2 will work. There is at least one u_2 for which u_2 will drink water. Can we infer the following from them? Answer yes or no: For all u_2, the claim that u_2 will drink water and the claim that u_2 will work cannot both be true.",no +2037,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one w for which w will work. For all w, w will read a book. Can we infer the following from them? Answer yes or no: For all w, the claim that w will read a book and the claim that w will work cannot both be true.",no +2038,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is fast. 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 a sailor and the claim that x is fast cannot both be true.",no +2039,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a server. There is at least one x for which x is an electrician. 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 electrician cannot both be true.",no +2040,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, 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: For all x, the claim that x will drink water and the claim that x will play squash cannot both be true.",no +2041,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all u_2, u_2 is a writer. There is at least one u_2 for which u_2 will make tea. Can we infer the following from them? Answer yes or no: For all u_2, the claim that u_2 will make tea and the claim that u_2 is a writer cannot both be true.",no +2042,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x will write a letter. 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, the claim that x will take a plane and the claim that x will write a letter cannot both be true.",no +2043,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will play tennis. For all x, x is a sailor. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a sailor and the claim that x will play tennis cannot both be true.",no +2044,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x_1, x_1 will listen to a song. There is at least one x_1 for which x_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all x_1, the claim that x_1 will listen to a song and the claim that x_1 is a lawyer cannot both be true.",no +2045,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a lawyer. There is at least one x for which x is an electrician. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a lawyer and the claim that x is an electrician cannot both be true.",no +2046,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a musician. There is at least one x for which x is a nurse. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a musician and the claim that x is a nurse cannot both be true.",no +2047,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 is happy. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a sailor and the claim that x is happy cannot both be true.",no +2048,predicate,inference,existential conjunction,contradiction,"Consider the following premises: There is at least one x for which x will sleep. 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 will sleep cannot both be true.",no +2049,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 make tea. Can we infer the following from them? Answer yes or no: For all v, the claim that v will make tea and the claim that v is an artist cannot both be true.",no +2050,predicate,inference,existential conjunction,contradiction,"Consider the following premises: For all x, x is a nurse. 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, the claim that x is a poet and the claim that x is a nurse cannot both be true.",no +2051,predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v will read a book. 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 read a book and v will play tennis.",yes +2052,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will listen to a song. 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 and x will listen to a song.",yes +2053,predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v will listen to a song. There is at least one v for which 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 and v will listen to a song.",yes +2054,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one v for which v will play tennis. For all v, v is a soldier. Can we infer the following from them? Answer yes or no: Some soldiers will play tennis.",yes +2055,predicate,inference,existential conjunction,inference,"Consider the following premises: For all y_1, y_1 is excited. There is at least one y_1 for which y_1 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is a cashier and y_1 is excited.",yes +2056,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x is a mechanic. 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 mechanic and x is a police officer.",yes +2057,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one x for which x is a nurse. 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 nurse and x is bored.",yes +2058,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will work. 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 work and x will listen to a song.",yes +2059,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y_1 for which y_1 is a nurse. For all y_1, y_1 is bored. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is bored and y_1 is a nurse.",yes +2060,predicate,inference,existential conjunction,inference,"Consider the following premises: For all y, y is excited. There is at least one y for which 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 and y is excited.",yes +2061,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will make tea. 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 make tea and x is a lawyer.",yes +2062,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y for which y is a police officer. 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 sleep and y is a police officer.",yes +2063,predicate,inference,existential conjunction,inference,"Consider the following premises: For all u, u is an astronaut. 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 is an astronaut and u will read a book.",yes +2064,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y_1 for which y_1 will write a letter. For all y_1, 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 will write a letter and y_1 will play a game.",yes +2065,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 work. 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 work.",yes +2066,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will read a book. There is at least one x for which x is a server. Can we infer the following from them? Answer yes or no: Some servers will read a book.",yes +2067,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y_1 for which y_1 will drink water. For all y_1, y_1 is poor. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 will drink water and y_1 is poor.",yes +2068,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y_1 for which y_1 is poor. For all y_1, y_1 will play 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 and y_1 is poor.",yes +2069,predicate,inference,existential conjunction,inference,"Consider the following premises: For all v, v will play 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 and v is a police officer.",yes +2070,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one v for which v will take a plane. For all v, v is a politician. Can we infer the following from them? Answer yes or no: Some politicians will take a plane.",yes +2071,predicate,inference,existential conjunction,inference,"Consider the following premises: There is at least one y_1 for which y_1 is fast. For all y_1, y_1 is rich. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is fast and y_1 is rich.",yes +2072,predicate,inference,existential conjunction,inference,"Consider the following premises: For all y_1, y_1 is an astronaut. There is at least one y_1 for which 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 y_1 is an astronaut and y_1 is a police officer.",yes +2073,predicate,inference,existential conjunction,inference,"Consider the following premises: For all y_1, y_1 is rich. There is at least one y_1 for which y_1 will work. Can we infer the following from them? Answer yes or no: There is at least one y_1 for which y_1 is rich and y_1 will work.",yes +2074,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x is a poet. 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 and x is a poet.",yes +2075,predicate,inference,existential conjunction,inference,"Consider the following premises: For all x, x will write a letter. 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 write a letter and x will climb a mountain.",yes +2076,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u_3, u_3 is a poet. There is at least one u_3 for which u_3 is sad. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will climb a mountain.",no +2077,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all w_4, w_4 will read a book. There is at least one w_4 for which w_4 is fast. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is a nurse.",no +2078,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will work. 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 play a game.",no +2079,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one u_3 for which u_3 is fast. For all u_3, 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 not write a letter.",no +2080,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will play squash. 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.",no +2081,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all v_2, v_2 is a politician. There is at least one v_2 for which v_2 will 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 is curious.",no +2082,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will play tennis. 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 not sleep.",no +2083,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a soldier. 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 a game.",no +2084,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 write a letter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no +2085,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all w_4, w_4 is a bartender. There is at least one w_4 for which w_4 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which w_4 is bored.",no +2086,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will play squash. 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 not take a plane.",no +2087,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will take a plane. 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 will not sleep.",no +2088,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one w_4 for which w_4 is a janitor. For all w_4, 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 w_4 will drive a car.",no +2089,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all w_4, w_4 will make tea. There is at least one w_4 for which w_4 will sleep. 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 +2090,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one z for which z is a doctor. 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 z will not play squash.",no +2091,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 a carpenter. Can we infer the following from them? Answer yes or no: There is at least one x for which x will work.",no +2092,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x will read a book. 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 not a cashier.",no +2093,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one z for which z will go running. 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 will not cook.",no +2094,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all u_3, u_3 will sleep. There is at least one u_3 for which u_3 is happy. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will drive a car.",no +2095,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x is excited. 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 drink water.",no +2096,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all z, z is a bartender. 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 play squash.",no +2097,predicate,inference,existential conjunction,unrelated,"Consider the following premises: There is at least one x for which x will read a book. 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 nurse.",no +2098,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all x, x is a poet. 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 drink water.",no +2099,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all v_2, v_2 is a cashier. There is at least one v_2 for which v_2 will cook. 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 +2100,predicate,inference,existential conjunction,unrelated,"Consider the following premises: For all z, z is a taxi driver. There is at least one z for which z is sad. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not an office clerk.",no +2101,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all w, w will not go running. There is at least one w for which the claim that w will go running and the claim that w will climb a mountain 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 climb a mountain.",no +2102,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one w for which the claim that w will drink water and the claim that w is an astronaut cannot both be true. For all w, w will not drink water. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an astronaut.",no +2103,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x, the claim that x will cook and the claim that x will work cannot both be true. 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 work.",no +2104,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all u, u is not excited. There is at least one u for which the claim that u is excited and the claim that u is happy 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 happy.",no +2105,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x_4, x_4 is not a taxi driver. There is at least one x_4 for which the claim that x_4 is a taxi driver and the claim that x_4 is a server cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a server.",no +2106,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all u, u is not a taxi driver. There is at least one u for which the claim that u is a taxi driver and the claim that u will take a plane 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 take a plane.",no +2107,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x_4 for which the claim that x_4 is rich and the claim that x_4 will cook cannot both be true. For all x_4, x_4 is not rich. 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 +2108,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x_4, x_4 will not play a game. There is at least one x_4 for which the claim that x_4 will play a game and the claim that x_4 is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is a soldier.",no +2109,predicate,fallacy,existential denying a conjunct,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 will go running cannot both be true. 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 go running.",no +2110,predicate,fallacy,existential denying a conjunct,inference,"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 a taxi driver cannot both be true. For all u, u will not go running. 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 +2111,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all u, u will not work. There is at least one u for which the claim that u will work and the claim that u is a scientist 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 a scientist.",no +2112,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all w, the claim that w is a taxi driver and the claim that w is a janitor cannot both be true. There is at least one w for which 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 a janitor.",no +2113,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x_1 for which the claim that x_1 is rich and the claim that x_1 will go running cannot both be true. For all x_1, 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 go running.",no +2114,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, v is not a sailor. There is at least one v for which the claim that v is a sailor and the claim that v is a taxi driver 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 a taxi driver.",no +2115,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v_3, the claim that v_3 is a bartender and the claim that v_3 will drive a car cannot both be true. There is at least one v_3 for which v_3 is not 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 drive a car.",no +2116,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one u for which the claim that u is an electrician and the claim that u is happy cannot both be true. For all u, u is not an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which u is happy.",no +2117,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x will not drink water. For all x, the claim that x will drink water 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 will work.",no +2118,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all x_1, x_1 will not climb a mountain. There is at least one x_1 for which the claim that x_1 will climb a mountain and the claim that x_1 will make tea cannot both be true. 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 +2119,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x will not climb a mountain. For all x, the claim that x will climb a mountain and the claim that x is an artist 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 artist.",no +2120,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which x will not read a book. For all x, 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 will play squash.",no +2121,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will climb a mountain and the claim that v is a nurse cannot both be true. There is at least one v for which 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 is a nurse.",no +2122,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one z_2 for which the claim that z_2 is a writer and the claim that z_2 is a taxi driver cannot both be true. For all z_2, z_2 is not 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 taxi driver.",no +2123,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, the claim that v is a poet and the claim that v will make tea cannot both be true. There is at least one v for which v is not a poet. Can we infer the following from them? Answer yes or no: There is at least one v for which v will make tea.",no +2124,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: For all v, the claim that v is poor and the claim that v will sleep cannot both be true. There is at least one v for which v is not poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep.",no +2125,predicate,fallacy,existential denying a conjunct,inference,"Consider the following premises: There is at least one x for which 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 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 a politician.",no +2126,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x takes a plane, then x is making tea. 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 will not make tea.",no +2127,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_4, if z_4 were sad, then z_4 is a soldier. There is at least one z_4 for which z_4 is not sad. 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 soldier.",no +2128,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x cooks, then x is playing a game. 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 will not play a game.",no +2129,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_4, z_4 is not a server. There is at least one z_4 for which if z_4 were a server, then z_4 is writing 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 not write a letter.",no +2130,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all u, if u listens to a song, then u is a janitor. There is at least one u for which u will not listen to a song. 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 +2131,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x will not play squash. There is at least one x for which if x plays squash, 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 +2132,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all u, if u were curious, then u is writing 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 not write a letter.",no +2133,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which if x were a cashier, then x is sleeping. 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 sleep.",no +2134,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all y, if y sleeps, then y is a lawyer. There is at least one y for which y will not sleep. 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 +2135,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_4 for which if z_4 were a cashier, then z_4 is bored. For all z_4, z_4 is not 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 bored.",no +2136,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x will not 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: There is at least one x for which x will not listen to a song.",no +2137,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, if x were poor, then x is a writer. There is at least one x for which x is not poor. 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 +2138,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which x will not drive 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 x will not cook.",no +2139,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which x will not drive a car. For all x, if x drives a car, 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 +2140,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w_2, w_2 will not write a letter. There is at least one w_2 for which if w_2 writes a letter, then w_2 is a soldier. 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 soldier.",no +2141,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one x for which x will not go running. For all x, if x goes running, 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 +2142,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_4 for which z_4 is not a police officer. For all z_4, if z_4 were a police officer, then 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 a cashier.",no +2143,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all u, if u plays a game, then u is excited. There is at least one u for which u will not play a game. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not excited.",no +2144,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_4 for which z_4 will not read a book. For all z_4, if z_4 reads a book, then z_4 is a doctor. 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 doctor.",no +2145,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all x, x is not an electrician. There is at least one x for which 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 not a writer.",no +2146,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all u, if u sleeps, then u is a doctor. There is at least one u for which u will not sleep. 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 +2147,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one z_4 for which if z_4 were a taxi driver, then z_4 is a cashier. For all z_4, z_4 is not 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 not a cashier.",no +2148,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: There is at least one u for which u is not fast. For all u, if u were fast, 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 u will not take a plane.",no +2149,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all z_4, if z_4 were a lawyer, then z_4 is a doctor. There is at least one z_4 for which z_4 is not a lawyer. 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 doctor.",no +2150,predicate,fallacy,existential denying the antecedent,inference,"Consider the following premises: For all w_2, w_2 will not write a letter. There is at least one w_2 for which if w_2 writes a letter, then w_2 is a janitor. 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 janitor.",no +2151,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, if u were excited, then u is playing tennis. There is at least one u for which if u writes a letter, then u is playing tennis. For all u, u is excited or u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",no +2152,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z works, then z is reading a book. For all z, z will work or z will take a plane. There is at least one z for which if z takes a plane, then z 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 +2153,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a police officer, then x is fast. There is at least one x for which x will play tennis or x is a police officer. For all x, if x plays tennis, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +2154,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one v_4 for which v_4 is a musician or v_4 will sleep. For all v_4, if v_4 sleeps, then v_4 is cooking. For all v_4, if v_4 were a musician, then v_4 is cooking. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not cook.",no +2155,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x sleeps, then x is reading a book. For all x, if x makes tea, then x is reading a book. There is at least one x for which x will make tea or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +2156,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, x will play a game or x will write a letter. For all x, if x plays a game, then x is an electrician. There is at least one x for which if x writes a letter, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no +2157,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is writing a letter. For all x, x will play a game or x is a scientist. There is at least one x for which 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 not write a letter.",no +2158,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x listens to a song, then x is drinking water. For all x, x will play squash or x will listen to a song. For all x, if x plays squash, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +2159,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 bored. For all x, if x were a server, then x is bored. For all x, x is a server or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no +2160,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 an artist. For all x, x will read a book or x is rich. For all x, if x were rich, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no +2161,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all w, if w were a bartender, then w is bored. For all w, if w takes a plane, then w is bored. There is at least one w for which w is a bartender or w will take a plane. Can we infer the following from them? Answer yes or no: For all w, w is not bored.",no +2162,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z works, then z is reading a book. For all z, if z were a scientist, then z is reading a book. There is at least one z for which z is a scientist or z will work. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",no +2163,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one u for which if u writes a letter, then u is a nurse. For all u, if u were a cashier, then u is a nurse. For all u, u is a cashier or u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u is not a nurse.",no +2164,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all w, w will go running or w is curious. For all w, if w were curious, then w is drinking water. There is at least one w for which if w goes running, 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 +2165,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one z for which if z were a cashier, then z is a taxi driver. For all z, z is a doctor or z is a cashier. For all z, if z were a doctor, then 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 +2166,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x were a bartender, then x is listening to a song. For all x, if x works, then x is listening to a song. For all x, x will work or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no +2167,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one z for which if z plays squash, then z is an artist. For all z, if z plays a game, then z is an artist. For all z, z will play a game or z will play squash. Can we infer the following from them? Answer yes or no: For all z, z is not an artist.",no +2168,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were poor, then x is a sailor. For all x, if x were excited, then x is a sailor. There is at least one x for which x is poor or x is excited. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no +2169,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all y, if y plays tennis, then y is sleeping. For all y, y will play tennis or y will write a letter. There is at least one y for which if y writes a letter, then y is sleeping. Can we infer the following from them? Answer yes or no: For all y, y will not sleep.",no +2170,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all u, u will go running or u will play tennis. For all u, if u goes running, then u is a sailor. There is at least one u for which if u plays tennis, then u is a sailor. Can we infer the following from them? Answer yes or no: For all u, u is not a sailor.",no +2171,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all y, y will sleep or y is curious. For all y, if y sleeps, then y is a police officer. There is at least one y for which if y were curious, then y is a police officer. Can we infer the following from them? Answer yes or no: For all y, y is not a police officer.",no +2172,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a sailor, then x is an electrician. There is at least one x for which if x sleeps, then x is an electrician. For all x, x will sleep or x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no +2173,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: There is at least one x for which if x were a lawyer, then x is cooking. For all x, if x writes a letter, then x is cooking. For all x, x is a lawyer or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no +2174,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all y, if y plays tennis, then y is a cashier. For all y, y will play tennis or y will play a game. There is at least one y for which if y plays a game, then y is a cashier. Can we infer the following from them? Answer yes or no: For all y, y is not a cashier.",no +2175,predicate,inference,existential disjunction elimination,contradiction,"Consider the following premises: For all z, if z drives a car, then z is listening to a song. There is at least one z for which if z were rich, then z is listening to a song. For all z, z will drive a car or z is rich. Can we infer the following from them? Answer yes or no: For all z, z will not listen to a song.",no +2176,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x is an office clerk or x will work. For all x, if x were an office clerk, then x is listening to a song. For all x, if x works, 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 +2177,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all y, if y were a doctor, then y is reading a book. There is at least one y for which y is a police officer or y is a doctor. For all y, if y were a police officer, 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 read a book.",yes +2178,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x_2, x_2 is a writer or x_2 will drink water. There is at least one x_2 for which if x_2 drinks water, then x_2 is reading a book. For all x_2, if x_2 were a writer, then x_2 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which x_2 will read a book.",yes +2179,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x sleeps, then x is rich. There is at least one x for which x is a poet or x will sleep. For all x, if x were a poet, 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.",yes +2180,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x sleeps, then x is an astronaut. There is at least one x for which x will sleep or 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 at least one x for which x is an astronaut.",yes +2181,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x cooks, then x is a bartender. For all x, if x were an electrician, then x is a bartender. There is at least one x for which x is an electrician 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 bartender.",yes +2182,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x drinks water, then x is a poet. There is at least one x for which x is poor or x will drink water. For all x, if x were poor, 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.",yes +2183,predicate,inference,existential disjunction elimination,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 if x listens to a song, then x is making tea. For all x, if x cooks, 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 +2184,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which if x sleeps, then x is drinking water. For all x, if x were happy, then x is drinking water. For all x, x is happy 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 drink water.",yes +2185,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a lawyer, then x is playing squash. There is at least one x for which x is a lawyer or x is excited. For all x, if x were excited, 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 play squash.",yes +2186,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x drives a car, then x is curious. For all x, x will take a plane or x will drive a car. There is at least one x for which if x takes a plane, 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.",yes +2187,predicate,inference,existential disjunction elimination,inference,"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, if x plays tennis, then x is a carpenter. For all x, x will drive a car 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 carpenter.",yes +2188,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x is a mechanic or x is bored. For all x, if x were bored, then x is working. There is at least one x for which if x were a mechanic, 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 +2189,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x is a musician or x is a soldier. There is at least one x for which if x were a musician, then x is driving a car. For all x, if x were a soldier, 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.",yes +2190,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a soldier, then x is a cashier. For all x, if x were sad, then x is a cashier. There is at least one x for which x is sad 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 a cashier.",yes +2191,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all w, if w writes a letter, then w is sleeping. For all w, w will write a letter or w will make tea. There is at least one w for which if w makes tea, then w 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 +2192,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x takes a plane, then x is rich. For all x, x will write a letter or x will take a plane. There is at least one x for which if x writes a letter, 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.",yes +2193,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x will go running or x will play tennis. For all x, if x plays tennis, then x is a doctor. For all x, if x goes running, 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 +2194,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, x will drive a car or x will make tea. There is at least one x for which if x drives a car, then x is working. For all x, if x makes tea, 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 +2195,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were happy, then x is an artist. There is at least one x for which if x climbs a mountain, then x is an artist. For all x, 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 is an artist.",yes +2196,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x were a sailor, then x is a poet. There is at least one x for which if x plays a game, then x is a poet. For all x, x is a sailor 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 poet.",yes +2197,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all w, if w cooks, then w is a nurse. For all w, w will cook or w will read a book. There is at least one w for which if w reads a book, 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 is a nurse.",yes +2198,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x will play tennis or x will sleep. For all x, if x sleeps, then x is a lawyer. For all x, if x plays tennis, then 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 +2199,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: There is at least one x for which x will listen to a song or x will drive a car. For all x, if x listens to a song, then x is running. For all x, if x drives a car, 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 +2200,predicate,inference,existential disjunction elimination,inference,"Consider the following premises: For all x, if x climbs a mountain, then x is drinking water. There is at least one x for which if x were a taxi driver, then x is drinking water. For all x, x is a taxi driver 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.",yes +2201,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w_2, if w_2 plays tennis, then w_2 is running. There is at least one w_2 for which w_2 will play tennis or w_2 is a nurse. For all w_2, if w_2 were a nurse, then w_2 is running. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 will drive a car.",no +2202,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x cooks, then x is a doctor. There is at least one x for which if x plays squash, then x is a doctor. For all x, 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 is a writer.",no +2203,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x were a nurse, then x is listening to a song. For all x, if x sleeps, then x is listening to a song. For all x, x will sleep 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 +2204,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all w_2, if w_2 goes running, then w_2 is taking a plane. There is at least one w_2 for which w_2 will listen to a song or w_2 will go running. For all w_2, if w_2 listens to a song, then w_2 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one w_2 for which w_2 is a soldier.",no +2205,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all u_2, u_2 will write a letter or u_2 will drive a car. There is at least one u_2 for which if u_2 writes a letter, then u_2 is playing squash. For all u_2, if u_2 drives a car, 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 is a musician.",no +2206,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x cooks, then x is taking a plane. For all x, if x plays tennis, then x is taking a plane. For all x, x will play tennis 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 play squash.",no +2207,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which x is a bartender or x will go running. For all x, if x goes running, then x is a poet. For all x, if x were a bartender, 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 will cook.",no +2208,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays a game, then x is bored. For all x, if x plays tennis, then x is bored. 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: There is at least one x for which x will listen to a song.",no +2209,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays a game, then x is cooking. For all x, if x were an office clerk, then x is cooking. There is at least one x for which x is an office clerk 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 musician.",no +2210,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x were a politician, then x is a nurse. For all x, x is a politician or x will read a book. For all x, if x reads a book, 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 will go running.",no +2211,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x is a server or x will read a book. For all x, if x were a server, then x is a lawyer. There is at least one x for which if x reads a book, then 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 cook.",no +2212,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x makes tea, then x is curious. For all x, if x were excited, then x is curious. There is at least one x for which 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 a poet.",no +2213,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one z_3 for which if z_3 climbs a mountain, then z_3 is a soldier. For all z_3, if z_3 reads a book, then z_3 is a soldier. For all z_3, z_3 will read a book or 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 will sleep.",no +2214,predicate,inference,existential disjunction elimination,unrelated,"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 were a musician, then x is reading a book. For all x, if x takes a plane, 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 a police officer.",no +2215,predicate,inference,existential disjunction elimination,unrelated,"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 x will cook or x will listen to a song. For all x, if x cooks, 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 taxi driver.",no +2216,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x cooks, then x is driving a car. For all x, x is excited or x will cook. There is at least one x for which 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 is a poet.",no +2217,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which x will drive a car or x is curious. For all x, if x drives a car, then x is making tea. For all x, if x were curious, 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 taxi driver.",no +2218,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, x is a musician or x is bored. There is at least one x for which if x were bored, then x is taking a plane. For all x, if x were a musician, 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 go running.",no +2219,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which x is a lawyer or x is a taxi driver. For all x, if x were a taxi driver, then x is an artist. For all x, if x were a lawyer, 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 sleep.",no +2220,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 an astronaut. For all x, if x were an artist, then x is an astronaut. For all x, x will play squash 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 a janitor.",no +2221,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a lawyer, then x is making tea. There is at least one x for which if x were fast, then x is making tea. For all x, x is fast 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 soldier.",no +2222,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x were sad, then x is curious. There is at least one x for which if x cooks, then x is curious. For all x, x will cook 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 police officer.",no +2223,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: There is at least one x for which if x listens to a song, then x is reading a book. For all x, if x makes tea, then x is reading a book. 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 x is an electrician.",no +2224,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x goes running, then x is taking a plane. There is at least one x for which if x listens to a song, then x is taking a plane. For all x, x will 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 read a book.",no +2225,predicate,inference,existential disjunction elimination,unrelated,"Consider the following premises: For all x, if x works, then x is drinking water. For all x, x is a janitor or x will work. There is at least one x for which if x were a janitor, 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 is a sailor.",no +2226,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z_4, z_4 is not a cashier. There is at least one z_4 for which z_4 is a cashier or z_4 is happy. Can we infer the following from them? Answer yes or no: For all z_4, z_4 is not happy.",no +2227,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will read a book or x will climb a mountain. 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 climb a mountain.",no +2228,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 server. Can we infer the following from them? Answer yes or no: For all x, x is not a server.",no +2229,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a lawyer or x is an office clerk. There is at least one x for which 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 +2230,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z is sad or z will climb a mountain. For all z, z is not sad. Can we infer the following from them? Answer yes or no: For all z, z will not climb a mountain.",no +2231,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 a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no +2232,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is a carpenter or v is a cashier. There is at least one v for which v is not a carpenter. Can we infer the following from them? Answer yes or no: For all v, v is not a cashier.",no +2233,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is not a nurse. There is at least one z for which z is a nurse or z is curious. Can we infer the following from them? Answer yes or no: For all z, z is not curious.",no +2234,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 +2235,predicate,inference,existential disjunctive syllogism,contradiction,"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 a server. Can we infer the following from them? Answer yes or no: For all x, x is not a server.",no +2236,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is a cashier or v will play squash. There is at least one v for which v is not a cashier. Can we infer the following from them? Answer yes or no: For all v, v will not play squash.",no +2237,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is a nurse or x is an artist. There is at least one x for which x is not a nurse. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no +2238,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one w for which w is fast or w will read a book. For all w, w is not fast. Can we infer the following from them? Answer yes or no: For all w, w will not read a book.",no +2239,predicate,inference,existential disjunctive syllogism,contradiction,"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: For all x, x is not a scientist.",no +2240,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is poor or v is bored. There is at least one v for which v is not poor. Can we infer the following from them? Answer yes or no: For all v, v is not bored.",no +2241,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is rich or x will cook. For all x, x is not rich. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no +2242,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 is a writer. Can we infer the following from them? Answer yes or no: For all x, x is not a writer.",no +2243,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x will not play tennis. For all x, x will play tennis or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",no +2244,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will go running or x will write a letter. 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 not write a letter.",no +2245,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is not a soldier. For all x, x is a soldier or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no +2246,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one x for which x is a mechanic or x will read a book. For all x, x is not a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +2247,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: There is at least one z for which z will drink water or z is an electrician. For all z, z will not drink water. Can we infer the following from them? Answer yes or no: For all z, z is not an electrician.",no +2248,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 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 +2249,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 +2250,predicate,inference,existential disjunctive syllogism,contradiction,"Consider the following premises: For all z, z will not drive a car. There is at least one z for which z will drive a car or 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 +2251,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will not drink water. There is at least one x for which x will drink water 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 poor.",yes +2252,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is excited or x will go running. 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 will go running.",yes +2253,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all v, v will not go running. There is at least one v for which v will go running or v will work. Can we infer the following from them? Answer yes or no: There is at least one v for which v will work.",yes +2254,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y will not write a letter. There is at least one y for which y will write a letter or y will play 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 +2255,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x will work or x will listen to a song. 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 will listen to a song.",yes +2256,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is excited or x is a politician. 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 politician.",yes +2257,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y will not sleep. There is at least one y for which y will sleep 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 a poet.",yes +2258,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y is an artist or y will sleep. 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 will sleep.",yes +2259,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 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 +2260,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is a mechanic or x is a doctor. 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 a doctor.",yes +2261,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all v, v is not fast. There is at least one v for which v is fast or 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 a mechanic.",yes +2262,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is a poet or x is an astronaut. 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 an astronaut.",yes +2263,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y is a carpenter or y will listen to a song. There is at least one y for which 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 will listen to a song.",yes +2264,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one w for which w will not work. For all w, w will work 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.",yes +2265,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one u for which u is not a musician. For all u, u is a musician or u 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 +2266,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all w, w will go running or w is an electrician. 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 an electrician.",yes +2267,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y will drive a car or y will play tennis. There is at least one y for which y will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play tennis.",yes +2268,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all w, w is a doctor or w will read a book. There is at least one w for which 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 read a book.",yes +2269,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x will not play tennis. There is at least one x for which 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 will read a book.",yes +2270,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all u, u is a musician or u will drink water. There is at least one u for which u is not a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which u will drink water.",yes +2271,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all y, y is poor or y is an electrician. 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 is an electrician.",yes +2272,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not bored. 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 will cook.",yes +2273,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not excited. There is at least one x for which x is excited 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.",yes +2274,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a police officer. There is at least one x for which x is a police officer 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.",yes +2275,predicate,inference,existential disjunctive syllogism,inference,"Consider the following premises: There is at least one x for which x is not excited. For all x, x is excited 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 a soldier.",yes +2276,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not excited. There is at least one x for which x is excited 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 go running.",no +2277,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all w_1, w_1 is a scientist or w_1 will drive a car. There is at least one w_1 for which w_1 is not a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is bored.",no +2278,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is a police officer or z will read a book. There is at least one z for which z is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one z for which z will play squash.",no +2279,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not bored. There is at least one x for which x is bored 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 drink water.",no +2280,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x_1 for which x_1 will take a plane or x_1 is a carpenter. For all x_1, x_1 will not take a plane. 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 +2281,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all x_1, x_1 is not a soldier. There is at least one x_1 for which x_1 is a soldier or x_1 is rich. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will take a plane.",no +2282,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all y, y is not curious. There is at least one y for which y is curious or y is a carpenter. 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 +2283,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will sleep or z is rich. There is at least one z for which z will not sleep. Can we infer the following from them? Answer yes or no: There is at least one z for which z will make tea.",no +2284,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all v, v is a lawyer or v will play tennis. There is at least one v for which 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 not listen to a song.",no +2285,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one z for which z will drive a car or z is a carpenter. 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 is not sad.",no +2286,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all y, y will not write a letter. There is at least one y for which y will write a letter or y is curious. Can we infer the following from them? Answer yes or no: There is at least one y for which y will work.",no +2287,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one y for which y is fast or y will sleep. For all y, y is not fast. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not write a letter.",no +2288,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v is not an artist. For all v, v is an artist or v is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis.",no +2289,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v is not a police officer. For all v, v is a police officer or 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 a server.",no +2290,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one w_1 for which w_1 will not read a book. For all w_1, w_1 will read a book or w_1 is fast. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will write a letter.",no +2291,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is a bartender or z will cook. There is at least one z for which 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 is not fast.",no +2292,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will play tennis or x is a sailor. 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 scientist.",no +2293,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will drive a car or z is a taxi driver. There is at least one z for which 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 listen to a song.",no +2294,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one v for which v is not a politician. For all v, v is a politician 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 is fast.",no +2295,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will drink water or z will go running. There is at least one z for which z will not drink water. Can we infer the following from them? Answer yes or no: There is at least one z for which z will cook.",no +2296,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x for which x will not climb a mountain. For all x, x will climb a mountain 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 go running.",no +2297,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all w, w will not read a book. There is at least one w for which w will read a book or 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 sad.",no +2298,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: For all z_3, z_3 will not play tennis. There is at least one z_3 for which z_3 will play tennis or z_3 will listen to a song. 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 +2299,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one w for which w is not an office clerk. For all w, w is an office clerk 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 w will not play squash.",no +2300,predicate,inference,existential disjunctive syllogism,unrelated,"Consider the following premises: There is at least one x_1 for which x_1 is a mechanic or x_1 is a lawyer. For all x_1, x_1 is not a mechanic. 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.",no +2301,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 sleep or x will read a book. Can we infer the following from them? Answer yes or no: For all x, neither x will make tea and x will sleep nor x will make tea and x will read a book.",no +2302,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some servers will play tennis or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x is a server and x will play tennis nor x is a server and x will sleep.",no +2303,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 drive a car or x will drink water. Can we infer the following from them? Answer yes or no: For all x, neither x will go running and x will drive a car nor x will go running and x will drink water.",no +2304,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 will go running or x will work. Can we infer the following from them? Answer yes or no: For all x, neither x will listen to a song and x will go running nor x will listen to a song and x will work.",no +2305,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 is a writer, or u_1 will go running and u_1 will climb a mountain. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 is a writer or u_1 will go running and the claim that u_1 is a writer or u_1 will climb a mountain cannot both be true.",no +2306,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep, or x is happy and x is a doctor. Can we infer the following from them? Answer yes or no: For all x, the claim that x will sleep or x is happy and the claim that x will sleep or x is a doctor cannot both be true.",no +2307,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will play squash, and either x is a scientist or x will go running. Can we infer the following from them? Answer yes or no: For all x, neither x will play squash and x is a scientist nor x will play squash and x will go running.",no +2308,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will sleep, or x will drink water and x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, the claim that x will sleep or x will drink water and the claim that x will sleep or x is an astronaut cannot both be true.",no +2309,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one u_3 for which u_3 will write a letter, or u_3 will cook and u_3 is a cashier. Can we infer the following from them? Answer yes or no: For all u_3, the claim that u_3 will write a letter or u_3 will cook and the claim that u_3 will write a letter or u_3 is a cashier cannot both be true.",no +2310,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x will cook, or x will climb a mountain and x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, the claim that x will cook or x will climb a mountain and the claim that x will cook or x is an astronaut cannot both be true.",no +2311,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 is a sailor, or u_1 will play a game and u_1 will write a letter. Can we infer the following from them? Answer yes or no: For all u_1, the claim that u_1 is a sailor or u_1 will play a game and the claim that u_1 is a sailor or u_1 will write a letter cannot both be true.",no +2312,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 excited or x is a politician. Can we infer the following from them? Answer yes or no: For all x, neither x will go running and x is excited nor x will go running and x is a politician.",no +2313,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a server, or x is a musician and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, the claim that x is a server or x is a musician and the claim that x is a server or x is an office clerk cannot both be true.",no +2314,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is bored, or x will drive a car and x will cook. Can we infer the following from them? Answer yes or no: For all x, the claim that x is bored or x will drive a car and the claim that x is bored or x will cook cannot both be true.",no +2315,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 drink water 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 drink water nor x is happy and x is rich.",no +2316,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some writers will write a letter or x will sleep. Can we infer the following from them? Answer yes or no: For all x, neither x is a writer and x will write a letter nor x is a writer and x will sleep.",no +2317,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a police officer, and either x will play tennis or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, neither x is a police officer and x will play tennis nor x is a police officer and x is a janitor.",no +2318,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is an office clerk, or x is excited and x is an artist. Can we infer the following from them? Answer yes or no: For all x, the claim that x is an office clerk or x is excited and the claim that x is an office clerk or x is an artist cannot both be true.",no +2319,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 a soldier or x will play squash. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water and x is a soldier nor x will drink water and x will play squash.",no +2320,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one x for which x is a nurse, and either x is a taxi driver or x will work. Can we infer the following from them? Answer yes or no: For all x, neither x is a nurse and x is a taxi driver nor x is a nurse and x will work.",no +2321,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 is a police officer 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 listen to a song or x is a police officer and the claim that x will listen to a song or x will play a game cannot both be true.",no +2322,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: Some sailors will play squash or x is a poet. Can we infer the following from them? Answer yes or no: For all x, neither x is a sailor and x will play squash nor x is a sailor and x is a poet.",no +2323,predicate,equivalent,existential distributive laws,contradiction,"Consider the following premises: There is at least one u for which u is a mechanic, or u will go running and u will work. Can we infer the following from them? Answer yes or no: For all u, the claim that u is a mechanic or u will go running and the claim that u is a mechanic or u will work cannot both be true.",no +2324,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 carpenter and x will write a letter. 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 carpenter and the claim that x will climb a mountain or x will write a letter cannot both be true.",no +2325,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 squash 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 a lawyer or x will play squash and the claim that x is a lawyer or x will listen to a song cannot both be true.",no +2326,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is happy, or x is a writer and x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which both x is happy or x is a writer and x is happy or x is rich are true.",yes +2327,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one w for which w is a mechanic, or w is an artist and w will drink water. Can we infer the following from them? Answer yes or no: There is at least one w for which both w is a mechanic or w is an artist and w is a mechanic or w will drink water are true.",yes +2328,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 take a plane 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 either x is a taxi driver and x will take a plane, or x is a taxi driver and x will listen to a song.",yes +2329,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is poor, and either x is a scientist or x will make tea. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is poor and x is a scientist, or x is poor and x will make tea.",yes +2330,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one u for which u will write a letter, and either u is a mechanic 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 either u will write a letter and u is a mechanic, or u will write a letter and u is a police officer.",yes +2331,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: Some doctors will write a letter or u will read a book. Can we infer the following from them? Answer yes or no: Some doctors will write a letter, or u is a doctor and u will read a book.",yes +2332,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will play tennis, and either x will climb a mountain 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 play tennis and x will climb a mountain, or x will play tennis and x will cook.",yes +2333,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a nurse, or x is a doctor 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 is a doctor and x is a nurse or x will cook are true.",yes +2334,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 read a book or x is a server. 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 read a book, or x will go running and x is a server.",yes +2335,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is an office clerk, 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 both x is an office clerk or x will cook and x is an office clerk or x is a carpenter are true.",yes +2336,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 will drink water, or u_1 will read a book and 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 both u_1 will drink water or u_1 will read a book and u_1 will drink water or u_1 will listen to a song are true.",yes +2337,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will play tennis, and either x is a poet 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 either x will play tennis and x is a poet, or x will play tennis and x is a police officer.",yes +2338,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one u_1 for which u_1 is a soldier, or u_1 will make tea and u_1 is bored. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which both u_1 is a soldier or u_1 will make tea and u_1 is a soldier or u_1 is bored are true.",yes +2339,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x will work, and either x is fast 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 work and x is fast, or x will work and x is a scientist.",yes +2340,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one u for which u is a cashier, and either u is an electrician or u is a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which either u is a cashier and u is an electrician, or u is a cashier and u is a musician.",yes +2341,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a poet, or x is sad 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 is a poet or x is sad and x is a poet or x is a carpenter are true.",yes +2342,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 an electrician or x is a mechanic. 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 an electrician, or x will read a book and x is a mechanic.",yes +2343,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is sad, and either x will play tennis 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 sad and x will play tennis, or x is sad and x will cook.",yes +2344,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one w for which w will go running, or w will write a letter 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 both w will go running or w will write a letter and w will go running or w will read a book are true.",yes +2345,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a sailor, and either x is excited or x is rich. Can we infer the following from them? Answer yes or no: There is at least one x for which either x is a sailor and x is excited, or x is a sailor and x is rich.",yes +2346,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one w for which w is a taxi driver, or w is a soldier 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 both w is a taxi driver or w is a soldier and w is a taxi driver or w will climb a mountain are true.",yes +2347,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 play tennis or x will work. 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 play tennis, or x will read a book and x will work.",yes +2348,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one x for which x is a doctor, or 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 both x is a doctor or x will listen to a song and x is a doctor or x will work are true.",yes +2349,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 sad or x will sleep. 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 sad, or x is an electrician and x will sleep.",yes +2350,predicate,equivalent,existential distributive laws,inference,"Consider the following premises: There is at least one w for which w is a writer, or w is happy 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 both w is a writer or w is happy and w is a writer or w will play a game are true.",yes +2351,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a bartender, or x is poor 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 not play squash.",no +2352,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v for which v is an office clerk, or v will write a letter 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 not play a game.",no +2353,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u_3 for which u_3 is a taxi driver, and either u_3 is bored or 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 will not read a book.",no +2354,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u_3 for which u_3 is poor, and either u_3 is an office clerk or 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 a scientist.",no +2355,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one z for which z is a lawyer, or z is a police officer 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 musician.",no +2356,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will make tea, or x will read a book 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 a bartender.",no +2357,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a poet, or x is a sailor 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 not play tennis.",no +2358,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will play a game, or 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 is an electrician.",no +2359,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v for which v will drink water, or v will go running and v is a politician. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not sleep.",no +2360,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 drive a car 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 play a game.",no +2361,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one z for which z will play tennis, and either z will play squash or z is a musician. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not sleep.",no +2362,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_4 for which v_4 will read a book, and either v_4 will play squash or v_4 will make tea. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 will sleep.",no +2363,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will sleep, or x will play tennis 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 happy.",no +2364,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_4 for which v_4 will climb a mountain, and either v_4 is a musician or v_4 will go running. 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 bartender.",no +2365,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u_3 for which u_3 will go running, and either u_3 is a nurse or u_3 is poor. 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.",no +2366,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is a scientist, or 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 a nurse.",no +2367,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one u_3 for which u_3 will cook, and either u_3 is a bartender or u_3 will go running. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is rich.",no +2368,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one z for which z is happy, and either z will play tennis or z is a server. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not drink water.",no +2369,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x will go running, or x will play a game and 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 +2370,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one v_4 for which v_4 will listen to a song, and either v_4 is a politician or v_4 is excited. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is a server.",no +2371,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x_3 for which x_3 is curious, and either x_3 is fast or x_3 is a bartender. 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 politician.",no +2372,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 drive a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no +2373,predicate,equivalent,existential distributive laws,unrelated,"Consider the following premises: There is at least one x for which x is poor, or x is a server 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 is a politician.",no +2374,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 is an astronaut 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.",no +2375,predicate,equivalent,existential distributive laws,unrelated,Consider the following premises: Some poets will work or 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 not a politician.,no +2376,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no v_2 for which v_2 will take a plane. For all v_2, if v_2 takes a plane, then v_2 is making tea. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 will make tea.",no +2377,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no y for which y will play a game. For all y, if y plays a game, 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 +2378,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 playing tennis. Can we infer the following from them? Answer yes or no: There is no x for which x will play tennis.",no +2379,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_2, if v_2 cooks, then v_2 is a taxi driver. There is no v_2 for which v_2 will cook. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 is a taxi driver.",no +2380,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no w_2 for which w_2 is fast. For all w_2, if w_2 were fast, then w_2 is a scientist. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 is a scientist.",no +2381,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all w_2, if w_2 climbs a mountain, then w_2 is a carpenter. There is no w_2 for which w_2 will climb a mountain. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 is a carpenter.",no +2382,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no u for which u is a sailor. For all u, if u were a sailor, then u is reading a book. Can we infer the following from them? Answer yes or no: There is no u for which u will read a book.",no +2383,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x reads a book, then x is sleeping. There is no x for which x will read a book. Can we infer the following from them? Answer yes or no: There is no x for which x will sleep.",no +2384,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_2, if v_2 works, then v_2 is running. There is no v_2 for which v_2 will work. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 will go running.",no +2385,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_2, if v_2 were a sailor, then v_2 is reading a book. There is no v_2 for which v_2 is a sailor. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 will read a book.",no +2386,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x will work. For all x, if x works, then x is fast. Can we infer the following from them? Answer yes or no: There is no x for which x is fast.",no +2387,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all w_2, if w_2 were a writer, then w_2 is listening to a song. There is no w_2 for which w_2 is a writer. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 will listen to a song.",no +2388,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all w_2, if w_2 writes a letter, then w_2 is a server. There is no w_2 for which w_2 will write a letter. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 is a server.",no +2389,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_2, if v_2 makes tea, then v_2 is writing a letter. There is no v_2 for which v_2 will make tea. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 will write a letter.",no +2390,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all u, if u were a bartender, then u is running. There is no u for which u is a bartender. Can we infer the following from them? Answer yes or no: There is no u for which u will go running.",no +2391,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all v_2, if v_2 were a scientist, then v_2 is a sailor. There is no v_2 for which v_2 is a scientist. Can we infer the following from them? Answer yes or no: There is no v_2 for which v_2 is a sailor.",no +2392,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no x for which x is a police officer. For all x, if x were a police officer, then x is a musician. Can we infer the following from them? Answer yes or no: There is no x for which x is a musician.",no +2393,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x works, then x is reading a book. There is no x for which x will work. Can we infer the following from them? Answer yes or no: There is no x for which x will read a book.",no +2394,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 driving a car. Can we infer the following from them? Answer yes or no: There is no x for which x will drive a car.",no +2395,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no w_2 for which w_2 will work. For all w_2, if w_2 works, then w_2 is reading a book. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 will read a book.",no +2396,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all x, if x were a writer, then x is a sailor. There is no x for which x is a writer. Can we infer the following from them? Answer yes or no: There is no x for which x is a sailor.",no +2397,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no w_2 for which w_2 is bored. For all w_2, if w_2 were bored, then w_2 is a sailor. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 is a sailor.",no +2398,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no z_2 for which z_2 will drink water. For all z_2, if z_2 drinks water, then z_2 is a musician. Can we infer the following from them? Answer yes or no: There is no z_2 for which z_2 is a musician.",no +2399,predicate,fallacy,existential fallacy,inference,"Consider the following premises: There is no w_2 for which w_2 is an artist. For all w_2, if w_2 were an artist, then w_2 is listening to a song. Can we infer the following from them? Answer yes or no: There is no w_2 for which w_2 will listen to a song.",no +2400,predicate,fallacy,existential fallacy,inference,"Consider the following premises: For all z_2, if z_2 reads a book, then z_2 is a doctor. There is no z_2 for which z_2 will read a book. Can we infer the following from them? Answer yes or no: There is no z_2 for which z_2 is a doctor.",no +2401,predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael is driving a car. Can we infer the following from them? Answer yes or no: For all x_2, x_2 will not drive a car.",no +2402,predicate,inference,existential generalization,contradiction,"Consider the following premises: Richard is a poet. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is not a poet.",no +2403,predicate,inference,existential generalization,contradiction,"Consider the following premises: Elisabeth is taking a plane. Can we infer the following from them? Answer yes or no: For all w, w will not take a plane.",no +2404,predicate,inference,existential generalization,contradiction,"Consider the following premises: Jennifer 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 +2405,predicate,inference,existential generalization,contradiction,"Consider the following premises: John is taking a plane. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not take a plane.",no +2406,predicate,inference,existential generalization,contradiction,"Consider the following premises: Richard is a bartender. Can we infer the following from them? Answer yes or no: For all z, z is not a bartender.",no +2407,predicate,inference,existential generalization,contradiction,"Consider the following premises: Thomas is sad. Can we infer the following from them? Answer yes or no: For all y, y is not sad.",no +2408,predicate,inference,existential generalization,contradiction,"Consider the following premises: Richard is a mechanic. Can we infer the following from them? Answer yes or no: For all v, v is not a mechanic.",no +2409,predicate,inference,existential generalization,contradiction,"Consider the following premises: Mary is making tea. Can we infer the following from them? Answer yes or no: For all z, z will not make tea.",no +2410,predicate,inference,existential generalization,contradiction,"Consider the following premises: Elisabeth is an electrician. Can we infer the following from them? Answer yes or no: For all v, v is not an electrician.",no +2411,predicate,inference,existential generalization,contradiction,"Consider the following premises: Mary is making tea. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not make tea.",no +2412,predicate,inference,existential generalization,contradiction,"Consider the following premises: John is a politician. Can we infer the following from them? Answer yes or no: For all z, z is not a politician.",no +2413,predicate,inference,existential generalization,contradiction,"Consider the following premises: James is drinking water. Can we infer the following from them? Answer yes or no: For all w, w will not drink water.",no +2414,predicate,inference,existential generalization,contradiction,"Consider the following premises: Mary is running. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not go running.",no +2415,predicate,inference,existential generalization,contradiction,"Consider the following premises: John 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 +2416,predicate,inference,existential generalization,contradiction,"Consider the following premises: Joseph 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 +2417,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_1, w_1 will not write a letter.",no +2418,predicate,inference,existential generalization,contradiction,"Consider the following premises: Thomas is a sailor. Can we infer the following from them? Answer yes or no: For all v, v is not a sailor.",no +2419,predicate,inference,existential generalization,contradiction,"Consider the following premises: Patricia is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no +2420,predicate,inference,existential generalization,contradiction,"Consider the following premises: Jessica 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 +2421,predicate,inference,existential generalization,contradiction,"Consider the following premises: James is driving a car. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will not drive a car.",no +2422,predicate,inference,existential generalization,contradiction,"Consider the following premises: Michael 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 +2423,predicate,inference,existential generalization,contradiction,"Consider the following premises: Joseph is playing a game. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not play a game.",no +2424,predicate,inference,existential generalization,contradiction,"Consider the following premises: Robert is reading a book. Can we infer the following from them? Answer yes or no: For all v, v will not read a book.",no +2425,predicate,inference,existential generalization,contradiction,"Consider the following premises: Jessica is a soldier. Can we infer the following from them? Answer yes or no: For all v, v is not a soldier.",no +2426,predicate,inference,existential generalization,inference,Consider the following premises: Charles 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 +2427,predicate,inference,existential generalization,inference,Consider the following premises: Sarah is a musician. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a musician.,yes +2428,predicate,inference,existential generalization,inference,Consider the following premises: Linda 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.,yes +2429,predicate,inference,existential generalization,inference,Consider the following premises: Joseph 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 +2430,predicate,inference,existential generalization,inference,Consider the following premises: Barbara 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 +2431,predicate,inference,existential generalization,inference,Consider the following premises: Mary 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 +2432,predicate,inference,existential generalization,inference,Consider the following premises: Sarah 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 sailor.,yes +2433,predicate,inference,existential generalization,inference,Consider the following premises: Barbara is an electrician. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is an electrician.,yes +2434,predicate,inference,existential generalization,inference,Consider the following premises: Michael is a writer. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a writer.,yes +2435,predicate,inference,existential generalization,inference,Consider the following premises: David is running. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will go running.,yes +2436,predicate,inference,existential generalization,inference,Consider the following premises: Mary is an artist. Can we infer the following from them? Answer yes or no: There is at least one u for which u is an artist.,yes +2437,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 u for which u will climb a mountain.,yes +2438,predicate,inference,existential generalization,inference,Consider the following premises: John is reading a book. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will read a book.,yes +2439,predicate,inference,existential generalization,inference,Consider the following premises: Susan is running. Can we infer the following from them? Answer yes or no: There is at least one u for which u will go running.,yes +2440,predicate,inference,existential generalization,inference,Consider the following premises: Jessica is a janitor. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a janitor.,yes +2441,predicate,inference,existential generalization,inference,Consider the following premises: Jessica 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 +2442,predicate,inference,existential generalization,inference,Consider the following premises: Elisabeth 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 +2443,predicate,inference,existential generalization,inference,Consider the following premises: Mary 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 +2444,predicate,inference,existential generalization,inference,Consider the following premises: Susan is bored. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is bored.,yes +2445,predicate,inference,existential generalization,inference,Consider the following premises: Karen is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a sailor.,yes +2446,predicate,inference,existential generalization,inference,Consider the following premises: Sarah 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 +2447,predicate,inference,existential generalization,inference,Consider the following premises: Linda 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 +2448,predicate,inference,existential generalization,inference,Consider the following premises: Barbara 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 +2449,predicate,inference,existential generalization,inference,Consider the following premises: Jessica 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 will take a plane.,yes +2450,predicate,inference,existential generalization,inference,Consider the following premises: Charles is drinking water. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which v_1 will drink water.,yes +2451,predicate,inference,existential generalization,unrelated,Consider the following premises: Richard is an electrician. Can we infer the following from them? Answer yes or no: Barbara is an electrician.,no +2452,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 playing tennis.,no +2453,predicate,inference,existential generalization,unrelated,Consider the following premises: Robert is running. Can we infer the following from them? Answer yes or no: Robert is taking a plane.,no +2454,predicate,inference,existential generalization,unrelated,"Consider the following premises: Linda is a doctor. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is a doctor.",no +2455,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 y, y is a musician.",no +2456,predicate,inference,existential generalization,unrelated,Consider the following premises: James is poor. Can we infer the following from them? Answer yes or no: Richard is poor.,no +2457,predicate,inference,existential generalization,unrelated,Consider the following premises: Jessica is a server. Can we infer the following from them? Answer yes or no: Jessica is taking a plane.,no +2458,predicate,inference,existential generalization,unrelated,Consider the following premises: Richard is playing squash. Can we infer the following from them? Answer yes or no: James is playing squash.,no +2459,predicate,inference,existential generalization,unrelated,Consider the following premises: Michael is drinking water. Can we infer the following from them? Answer yes or no: Richard is drinking water.,no +2460,predicate,inference,existential generalization,unrelated,Consider the following premises: David is climbing a mountain. Can we infer the following from them? Answer yes or no: David is listening to a song.,no +2461,predicate,inference,existential generalization,unrelated,Consider the following premises: Thomas is working. Can we infer the following from them? Answer yes or no: Patricia is working.,no +2462,predicate,inference,existential generalization,unrelated,"Consider the following premises: Richard is playing squash. Can we infer the following from them? Answer yes or no: For all z, z will play squash.",no +2463,predicate,inference,existential generalization,unrelated,Consider the following premises: John is playing tennis. Can we infer the following from them? Answer yes or no: Joseph is playing tennis.,no +2464,predicate,inference,existential generalization,unrelated,Consider the following premises: Jennifer is reading a book. Can we infer the following from them? Answer yes or no: James is reading a book.,no +2465,predicate,inference,existential generalization,unrelated,Consider the following premises: Patricia is playing a game. Can we infer the following from them? Answer yes or no: Patricia is playing tennis.,no +2466,predicate,inference,existential generalization,unrelated,Consider the following premises: John is a janitor. Can we infer the following from them? Answer yes or no: John is curious.,no +2467,predicate,inference,existential generalization,unrelated,"Consider the following premises: Sarah is fast. Can we infer the following from them? Answer yes or no: For all y, y is fast.",no +2468,predicate,inference,existential generalization,unrelated,Consider the following premises: Jessica is climbing a mountain. Can we infer the following from them? Answer yes or no: Jessica is a soldier.,no +2469,predicate,inference,existential generalization,unrelated,Consider the following premises: Elisabeth is rich. Can we infer the following from them? Answer yes or no: Richard is rich.,no +2470,predicate,inference,existential generalization,unrelated,Consider the following premises: Mary is playing squash. Can we infer the following from them? Answer yes or no: Mary is a cashier.,no +2471,predicate,inference,existential generalization,unrelated,"Consider the following premises: James is playing squash. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play squash.",no +2472,predicate,inference,existential generalization,unrelated,"Consider the following premises: Charles is a politician. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",no +2473,predicate,inference,existential generalization,unrelated,"Consider the following premises: Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +2474,predicate,inference,existential generalization,unrelated,Consider the following premises: Charles is working. Can we infer the following from them? Answer yes or no: Susan is working.,no +2475,predicate,inference,existential generalization,unrelated,Consider the following premises: John is working. Can we infer the following from them? Answer yes or no: John is listening to a song.,no +2476,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which 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 not take a plane.",no +2477,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_1 for which w_1 is an artist and w_1 is an artist. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is not an artist.",no +2478,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 will read a book or w_3 will read a book. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not read a book.",no +2479,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 +2480,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 +2481,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 will cook and u_1 will cook. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not cook.",no +2482,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: Some carpenters are carpenters. Can we infer the following from them? Answer yes or no: For all z, z is not a carpenter.",no +2483,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 is fast or w_3 is fast. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not fast.",no +2484,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y will read a book 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 +2485,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one u_1 for which u_1 will read a book and u_1 will read a book. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will not read a book.",no +2486,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 w_1, w_1 is not a sailor.",no +2487,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_2 for which w_2 will climb a mountain or 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 climb a mountain.",no +2488,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 +2489,predicate,equivalent,existential idempotent laws,contradiction,"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: For all x, x will not take a plane.",no +2490,predicate,equivalent,existential idempotent laws,contradiction,"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: For all x, x will not climb a mountain.",no +2491,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x_1 for which x_1 is poor and x_1 is poor. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not poor.",no +2492,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which 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 not take a plane.",no +2493,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which 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 not a bartender.",no +2494,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_3 for which w_3 will climb a mountain or w_3 will climb a mountain. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not climb a mountain.",no +2495,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x_1 for which x_1 will drive a car and x_1 will drive a car. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not drive a car.",no +2496,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one w_1 for which w_1 is curious and w_1 is curious. Can we infer the following from them? Answer yes or no: For all w_1, w_1 is not curious.",no +2497,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x_1 for which x_1 will take a plane and x_1 will take a plane. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not take a plane.",no +2498,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one y for which y will play a game or y will play a game. Can we infer the following from them? Answer yes or no: For all y, y will not play a game.",no +2499,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x is an astronaut and x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is not an astronaut.",no +2500,predicate,equivalent,existential idempotent laws,contradiction,"Consider the following premises: There is at least one x for which x will drink water or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +2501,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 x for which x is a cashier.,yes +2502,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_1 for which z_1 is a mechanic.,yes +2503,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y for which y is an astronaut and 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.,yes +2504,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one w for which w is a nurse 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 a nurse.,yes +2505,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 +2506,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which v will play tennis and 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 +2507,predicate,equivalent,existential idempotent laws,inference,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 an astronaut.,yes +2508,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will drink water 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 +2509,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will play a game 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 play a game.,yes +2510,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 +2511,predicate,equivalent,existential idempotent laws,inference,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: There is at least one x for which x will play squash.,yes +2512,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 x for which x is a mechanic.,yes +2513,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one v for which 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 drive a car.,yes +2514,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z_1 for which z_1 will drive a car or z_1 will 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 will drive a car.,yes +2515,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z_1 for which z_1 will cook and z_1 will cook. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 will cook.,yes +2516,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one w for which w is a lawyer 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 lawyer.,yes +2517,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will play tennis and x_1 will play tennis. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 will play tennis.,yes +2518,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x_1 for which x_1 will play a game and 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 will play a game.,yes +2519,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 v for which v is a poet.,yes +2520,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x for which x will drink water 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 +2521,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 v for which v is a cashier.,yes +2522,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one x_1 for which x_1 is poor and x_1 is poor. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which x_1 is poor.,yes +2523,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one z_1 for which z_1 is a scientist or z_1 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one z_1 for which z_1 is a scientist.,yes +2524,predicate,equivalent,existential idempotent laws,inference,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 play a game.,yes +2525,predicate,equivalent,existential idempotent laws,inference,Consider the following premises: There is at least one y_4 for which y_4 is a politician or y_4 is a politician. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a politician.,yes +2526,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some carpenters are carpenters. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not a bartender.,no +2527,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will write a letter 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 an astronaut.,no +2528,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a scientist 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 make tea.,no +2529,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is poor 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 make tea.,no +2530,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a soldier 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 a scientist.,no +2531,predicate,equivalent,existential idempotent laws,unrelated,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 write a letter.,no +2532,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w_1 for which w_1 will write a letter or w_1 will write a letter. 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 +2533,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is a scientist 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 janitor.,no +2534,predicate,equivalent,existential idempotent laws,unrelated,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: There is at least one x for which x is not a doctor.,no +2535,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is a lawyer or w_1 is a lawyer. 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 +2536,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one y for which y is a writer or 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 climb a mountain.,no +2537,predicate,equivalent,existential idempotent laws,unrelated,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: There is at least one x for which x is not an electrician.,no +2538,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 x for which x will climb a mountain.,no +2539,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 x for which x is not curious.,no +2540,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 is bored.,no +2541,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x is bored 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 drink water.,no +2542,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 not write a letter.,no +2543,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some poets are poets. 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 +2544,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 x for which x is a taxi driver.,no +2545,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one u for which u will climb a mountain 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 u is a politician.,no +2546,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 is a cashier.,no +2547,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: There is at least one x for which x will play squash 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 a poet.,no +2548,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 will go running.,no +2549,predicate,equivalent,existential idempotent laws,unrelated,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 will not work.,no +2550,predicate,equivalent,existential idempotent laws,unrelated,Consider the following premises: Some janitors are janitors. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not drive a car.,no +2551,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z were a soldier, then z is an artist. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were an artist, then z is a soldier.",no +2552,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a scientist, 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 a cashier, then x is a scientist.",no +2553,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a nurse, 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 a nurse.",no +2554,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were an electrician, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a politician, then x is an electrician.",no +2555,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_1 for which if u_1 climbs a mountain, then u_1 is a soldier. 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 soldier, then u_1 is climbing a mountain.",no +2556,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z were an astronaut, 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 an astronaut.",no +2557,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_1 for which if u_1 were a carpenter, then u_1 is working. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which if u_1 works, then u_1 is a carpenter.",no +2558,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 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 artist, then x is drinking water.",no +2559,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z makes tea, then z is curious. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were curious, then z is making tea.",no +2560,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z plays squash, 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 if z drives a car, then z is playing squash.",no +2561,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 a cashier. 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 taking a plane.",no +2562,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z reads a book, 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 reading a book.",no +2563,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 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 drinking water.",no +2564,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_1 for which if u_1 were a mechanic, then u_1 is a police officer. 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 police officer, then u_1 is a mechanic.",no +2565,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x cooks, then 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 sad, then x is cooking.",no +2566,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_4 for which if u_4 plays tennis, then u_4 is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which if u_4 were a carpenter, then u_4 is playing tennis.",no +2567,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which if x were a musician, then x is drinking water. 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 a musician.",no +2568,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 a scientist. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were a scientist, then z is a bartender.",no +2569,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_4 for which if u_4 listens to a song, then u_4 is making tea. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which if u_4 makes tea, then u_4 is listening to a song.",no +2570,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z plays tennis, 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 listens to a song, then z is playing tennis.",no +2571,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one x for which 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 if x cooks, then x is poor.",no +2572,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which if z drinks water, 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 cooks, then z is drinking water.",no +2573,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 driving a car. Can we infer the following from them? Answer yes or no: There is at least one z for which if z drives a car, then z is running.",no +2574,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one u_4 for which if u_4 plays tennis, 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 if u_4 cooks, then u_4 is playing tennis.",no +2575,predicate,fallacy,existential illicit commutativity,inference,"Consider the following premises: There is at least one z for which 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 if z sleeps, then z is cooking.",no +2576,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u works, then u is running. For all u, u will work. Can we infer the following from them? Answer yes or no: For all u, u will not go running.",no +2577,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x drinks water, then x is fast. For all x, x will drink water. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +2578,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x_1, if x_1 were a writer, then x_1 is climbing a mountain. There is at least one x_1 for which x_1 is a writer. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not climb a mountain.",no +2579,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x were poor, then x is a taxi driver. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x is not a taxi driver.",no +2580,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x is a police officer. There is at least one x for which if x were a police officer, 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 +2581,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x_4, x_4 is a taxi driver. There is at least one x_4 for which if x_4 were a taxi driver, then x_4 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will not climb a mountain.",no +2582,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x drives a car, then x is writing a letter. 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 write a letter.",no +2583,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which u will write a letter. For all u, if u writes a letter, 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 +2584,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, if x climbs a mountain, then x is sad. There is at least one x for which x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no +2585,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y were an office clerk, then y is fast. There is at least one y for which y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y is not fast.",no +2586,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x is an electrician. There is at least one x for which if x were an electrician, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +2587,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which if x writes a letter, then 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 not a soldier.",no +2588,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, u is a taxi driver. There is at least one u for which if u were a taxi driver, 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 +2589,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x, x is a bartender. There is at least one x for which if x were a bartender, 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 +2590,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one y for which y will read a book. For all y, if y reads a book, then y is rich. Can we infer the following from them? Answer yes or no: For all y, y is not rich.",no +2591,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y writes a letter, then y is cooking. 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 will not cook.",no +2592,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y drives a car, then y is sleeping. There is at least one y for which y will drive a car. Can we infer the following from them? Answer yes or no: For all y, y will not sleep.",no +2593,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all y, if y works, then y is reading a book. There is at least one y for which y will work. Can we infer the following from them? Answer yes or no: For all y, y will not read a book.",no +2594,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one u for which if u were a mechanic, then u is happy. For all u, u is a mechanic. Can we infer the following from them? Answer yes or no: For all u, u is not happy.",no +2595,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 happy. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no +2596,predicate,inference,existential modus ponens,contradiction,"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: For all y, y is not a musician.",no +2597,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all x_4, x_4 will write a letter. There is at least one x_4 for which if x_4 writes a letter, then x_4 is rich. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is not rich.",no +2598,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: There is at least one x for which x will drink water. For all x, if x drinks water, then x is sad. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no +2599,predicate,inference,existential modus ponens,contradiction,"Consider the following premises: For all u, if u drinks water, then u is a poet. 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 is not a poet.",no +2600,predicate,inference,existential modus ponens,contradiction,"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 a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is not a lawyer.",no +2601,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will write a letter. 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 drive a car.",yes +2602,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all z, if z were a poet, then z is running. There is at least one z for which z is a poet. Can we infer the following from them? Answer yes or no: There is at least one z for which z will go running.",yes +2603,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x_3 for which if x_3 were a police officer, then x_3 is excited. For all x_3, 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 excited.",yes +2604,predicate,inference,existential modus ponens,inference,"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 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 +2605,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 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 +2606,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x_3, x_3 will read a book. There is at least one x_3 for which if x_3 reads a book, then 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 +2607,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x writes a letter, then x is an electrician. 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 an electrician.",yes +2608,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x were a politician, then x is playing tennis. 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 play tennis.",yes +2609,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x_3, x_3 is a carpenter. There is at least one x_3 for which if x_3 were a carpenter, then x_3 is an artist. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is an artist.",yes +2610,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one u for which u will go running. For all u, if u goes running, then 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.",yes +2611,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x_3, x_3 will sleep. There is at least one x_3 for which if x_3 sleeps, 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.",yes +2612,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were a nurse, then x is making tea. 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 make tea.",yes +2613,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will write a letter. There is at least one x for which if x writes a letter, 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 an electrician.",yes +2614,predicate,inference,existential modus ponens,inference,"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 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 +2615,predicate,inference,existential modus ponens,inference,"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 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 +2616,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 drinking water. 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 drink water.",yes +2617,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x will make tea. For all x, if x makes tea, 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.",yes +2618,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x is a sailor. There is at least one x for which if x were a sailor, 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.",yes +2619,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will cook. There is at least one x for which if x cooks, 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.",yes +2620,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 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 +2621,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x is bored. For all x, if x were bored, 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 +2622,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, if x listens to a song, then x is a politician. 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 politician.",yes +2623,predicate,inference,existential modus ponens,inference,"Consider the following premises: For all x, x will write a letter. 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 play squash.",yes +2624,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which if x were a soldier, then x is reading a book. 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 will read a book.",yes +2625,predicate,inference,existential modus ponens,inference,"Consider the following premises: There is at least one x for which x is an astronaut. For all x, if x were an astronaut, 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 +2626,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x will listen to a song. For all x, if x listens to a song, 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 not sleep.",no +2627,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one w for which if w were sad, then w is cooking. For all w, w is sad. 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 +2628,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x will cook. There is at least one x for which if x cooks, then 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 drink water.",no +2629,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all z, if z were a poet, then z is playing a game. There is at least one z for which z is a poet. 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 +2630,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x plays squash, then x is happy. 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 write a letter.",no +2631,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is a cashier. 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 a bartender.",no +2632,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is a taxi driver. There is at least one x for which if x were a taxi driver, 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 not an artist.",no +2633,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all v, if v were a musician, then v is driving a car. 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 is a janitor.",no +2634,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all z, if z were a taxi driver, then z is playing tennis. There is at least one z for which 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 will take a plane.",no +2635,predicate,inference,existential modus ponens,unrelated,"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 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 make tea.",no +2636,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 playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x will drink water.",no +2637,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all u, u will drink water. There is at least one u for which 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 u is an astronaut.",no +2638,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which if x were a nurse, then x is a server. 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 read a book.",no +2639,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x were sad, then x is listening to a song. 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 will read a book.",no +2640,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one w for which if w works, then w is cooking. For all w, 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 mechanic.",no +2641,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u for which if u goes running, then u is a taxi driver. For all u, u will go running. Can we infer the following from them? Answer yes or no: There is at least one u for which u will work.",no +2642,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one x for which x is rich. For all x, if x were rich, 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 server.",no +2643,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one v for which v is a sailor. For all v, if v were a sailor, 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 not drink water.",no +2644,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 listening to a song. 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 not fast.",no +2645,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is poor. There is at least one x for which if x were poor, 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 will not play tennis.",no +2646,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all u_2, u_2 is poor. There is at least one u_2 for which if u_2 were poor, then u_2 is a politician. 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 +2647,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is making tea. 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 not drink water.",no +2648,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: There is at least one u_2 for which if u_2 were a server, then u_2 is taking a plane. For all u_2, u_2 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 will sleep.",no +2649,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all w, if w were a scientist, then w is drinking water. There is at least one w for which w is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play tennis.",no +2650,predicate,inference,existential modus ponens,unrelated,"Consider the following premises: For all x, x is sad. There is at least one x for which if x were sad, 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 will listen to a song.",no +2651,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, 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 take a plane.",no +2652,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is not fast. There is at least one x for which if x plays tennis, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +2653,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one y for which if y were rich, then y is not 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 rich.",no +2654,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x works, then x is not listening to a song. 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, x will work.",no +2655,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x sleeps, then x is a janitor. There is at least one x for which x is not a janitor. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +2656,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, y is not a scientist. There is at least one y for which if y were a doctor, then y is a scientist. Can we infer the following from them? Answer yes or no: For all y, y is a doctor.",no +2657,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, y is not happy. There is at least one y for which if y were rich, then y is happy. Can we infer the following from them? Answer yes or no: For all y, y is rich.",no +2658,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all y, if y takes a plane, then y is working. There is at least one y for which y will not work. Can we infer the following from them? Answer yes or no: For all y, y will take a plane.",no +2659,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one u for which u will not go running. For all u, if u makes tea, then u is running. Can we infer the following from them? Answer yes or no: For all u, u will make tea.",no +2660,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x will not play a game. There is at least one x for which if x plays squash, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +2661,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all w, if w were a taxi driver, then w is not a carpenter. There is at least one w for which w is a carpenter. Can we infer the following from them? Answer yes or no: For all w, w is a taxi driver.",no +2662,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x is not poor. For all x, if x takes a plane, then x is poor. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +2663,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all v_4, v_4 is a poet. There is at least one v_4 for which if v_4 were a scientist, then v_4 is not a poet. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a scientist.",no +2664,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is fast. There is at least one x for which if x cooks, then x is not fast. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +2665,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one y for which y will not work. For all y, if y were poor, then y is working. Can we infer the following from them? Answer yes or no: For all y, y is poor.",no +2666,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one u for which u will not take a plane. For all u, if u sleeps, then u is taking a plane. Can we infer the following from them? Answer yes or no: For all u, u will sleep.",no +2667,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 listens to a song, then x is not playing tennis. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +2668,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one z_1 for which z_1 is rich. For all z_1, if z_1 goes running, then z_1 is not rich. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will go running.",no +2669,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one w for which w is a musician. For all w, if w writes a letter, then w is not a musician. Can we infer the following from them? Answer yes or no: For all w, w will write a letter.",no +2670,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, x is not a janitor. There is at least one x for which if x climbs a mountain, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +2671,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 not a janitor. 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.",no +2672,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which x will not cook. 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 is a cashier.",no +2673,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all x, if x takes a plane, 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 will take a plane.",no +2674,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: There is at least one x for which if x plays squash, then x is not a carpenter. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +2675,predicate,inference,existential modus tollens,contradiction,"Consider the following premises: For all v_4, v_4 is a nurse. There is at least one v_4 for which if v_4 sleeps, then v_4 is not a nurse. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will sleep.",no +2676,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one z for which z will sleep. For all z, if z goes running, then z is not sleeping. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not go running.",yes +2677,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x listens to a song, then x is not bored. 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 not listen to a song.",yes +2678,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one z for which z will go running. For all z, if z climbs a mountain, then z is not running. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not climb a mountain.",yes +2679,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will work. For all x, if x were poor, then x is not working. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not poor.",yes +2680,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, x is poor. There is at least one x for which if x were a politician, then x is not poor. 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 +2681,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is not a scientist. For all x, if x drives a car, 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 will not drive a car.",yes +2682,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 listens to a song, 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 will not listen to a song.",yes +2683,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all w_3, w_3 is not an astronaut. There is at least one w_3 for which if w_3 were a taxi driver, then w_3 is an astronaut. 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 taxi driver.",yes +2684,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x were bored, then x is not an astronaut. 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 is not bored.",yes +2685,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one y for which if y were a janitor, then y is not an artist. For all y, 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 janitor.",yes +2686,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x were a carpenter, 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 not a carpenter.",yes +2687,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 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 not an office clerk.",yes +2688,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all z, if z drives a car, then z is not running. 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 not drive a car.",yes +2689,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x makes tea, then x is not playing tennis. 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 not make tea.",yes +2690,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is not a musician. For all x, if x works, 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 will not work.",yes +2691,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one z for which z will write a letter. For all z, if z makes tea, 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 will not make tea.",yes +2692,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x were a poet, 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 poet.",yes +2693,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all x, if x were a writer, then x is a nurse. 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 not a writer.",yes +2694,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all y, y will listen to a song. There is at least one y for which if y were happy, then y is not listening 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 happy.",yes +2695,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x will not cook. For all x, if x were a mechanic, 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 mechanic.",yes +2696,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 plays tennis, 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 not play tennis.",yes +2697,predicate,inference,existential modus tollens,inference,"Consider the following premises: For all v, if v were happy, then v is a taxi driver. There is at least one v for which v is not 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 happy.",yes +2698,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which if x plays squash, then x is not a carpenter. 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 not play squash.",yes +2699,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one z for which z is a cashier. For all z, if z reads a book, then z is not a cashier. 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.",yes +2700,predicate,inference,existential modus tollens,inference,"Consider the following premises: There is at least one x for which x is not a police officer. 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 x will not read a book.",yes +2701,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one y for which if y were a server, then y is sad. For all y, y is not sad. Can we infer the following from them? Answer yes or no: There is at least one y for which y will play squash.",no +2702,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all v_4, if v_4 were a police officer, then v_4 is reading a book. There is at least one v_4 for which v_4 will not read a book. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which v_4 is bored.",no +2703,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were a scientist, 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: There is at least one x for which x will not drink water.",no +2704,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x reads a book, then x is a nurse. 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 an astronaut.",no +2705,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z_4 for which z_4 will play a game. For all z_4, if z_4 were a carpenter, then z_4 is not playing a game. 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 +2706,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, x will play tennis. There is at least one x for which if x plays a game, then x is not playing tennis. Can we infer the following from them? Answer yes or no: There is at least one x for which x is not happy.",no +2707,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one z for which if z drives a car, then z is a scientist. For all z, z is not a scientist. 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 +2708,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x will play a game. For all x, if x climbs a mountain, then x is not playing 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 artist.",no +2709,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is making tea. 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 is not rich.",no +2710,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, x is a taxi driver. There is at least one x for which if x works, then 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 not an office clerk.",no +2711,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were an electrician, then x is not an artist. 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 not excited.",no +2712,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is not fast. For all x, if x were a sailor, 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 read a book.",no +2713,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were an astronaut, then x is a doctor. 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 play squash.",no +2714,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x were a server, 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 not curious.",no +2715,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is not a lawyer. 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 not curious.",no +2716,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all y, y will not play tennis. There is at least one y for which if y takes a plane, then y is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y will cook.",no +2717,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all v, if v were curious, then v is an office clerk. There is at least one v for which v is not 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 server.",no +2718,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which if x were sad, 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 will not work.",no +2719,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one u_4 for which u_4 will listen to a song. For all u_4, if u_4 works, then u_4 is not 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 is happy.",no +2720,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, if x were fast, 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 play squash.",no +2721,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, x is a bartender. There is at least one x for which if x plays tennis, then 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 electrician.",no +2722,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one v for which v will not make tea. For all v, if v were a writer, then v is making tea. Can we infer the following from them? Answer yes or no: There is at least one v for which v is bored.",no +2723,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: For all x, x will write a letter. There is at least one x for which if x reads a book, then x is not 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 a game.",no +2724,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one u_4 for which u_4 is a doctor. For all u_4, if u_4 reads a book, then u_4 is not a doctor. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 will write a letter.",no +2725,predicate,inference,existential modus tollens,unrelated,"Consider the following premises: There is at least one x for which x is an electrician. For all x, if x writes a letter, 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 excited.",no +2726,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is not an electrician or x is poor. For all x, x is an electrician or 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 poor.",no +2727,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is an astronaut or x is a sailor. For all x, x is not an astronaut or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, neither x is a sailor nor x is a doctor.",no +2728,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y will not climb a mountain or y is a carpenter. For all y, y will climb a mountain or y is a scientist. Can we infer the following from them? Answer yes or no: For all y, neither y is a scientist nor y is a carpenter.",no +2729,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z is a poet or z is rich. There is at least one z for which z is not a poet or z will take a plane. Can we infer the following from them? Answer yes or no: For all z, neither z is rich nor z will take a plane.",no +2730,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not drive a car or x will listen to a song. For all x, x will drive a car or x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x is fast nor x will listen to a song.",no +2731,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one w for which w will make tea or w will cook. For all w, w will not make tea or w will sleep. Can we infer the following from them? Answer yes or no: For all w, neither w will cook nor w will sleep.",no +2732,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y will not cook or y is a mechanic. For all y, y will cook or y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, neither y is a taxi driver nor y is a mechanic.",no +2733,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y, y is a carpenter or y will take a plane. There is at least one y for which y is not a carpenter or y will make tea. Can we infer the following from them? Answer yes or no: For all y, neither y will take a plane nor y will make tea.",no +2734,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is not a carpenter or x will play tennis. There is at least one x for which x is a carpenter or 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 play tennis.",no +2735,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y, y will not cook or y will read a book. There is at least one y for which y will cook or y will climb a mountain. Can we infer the following from them? Answer yes or no: For all y, neither y will climb a mountain nor y will read a book.",no +2736,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is a nurse or x is rich. For all x, x is not a nurse or x is sad. Can we infer the following from them? Answer yes or no: For all x, neither x is rich nor x is sad.",no +2737,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not play tennis or x is curious. For all x, x will play tennis 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 curious.",no +2738,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not drink water or x is happy. There is at least one x for which 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 is happy.",no +2739,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all w, w will play squash or w is sad. There is at least one w for which w will not play squash or w is fast. Can we infer the following from them? Answer yes or no: For all w, neither w is sad nor w is fast.",no +2740,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not read a book or x is bored. For all x, 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, neither x will take a plane nor x is bored.",no +2741,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one y for which y will not read a book or y will cook. For all y, y will read a book or y is a doctor. Can we infer the following from them? Answer yes or no: For all y, neither y is a doctor nor y will cook.",no +2742,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all y, y will play a game or y is bored. There is at least one y for which y will not play a game or y will drive a car. Can we infer the following from them? Answer yes or no: For all y, neither y is bored nor y will drive a car.",no +2743,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is a scientist or x is a bartender. For all x, x is not a scientist or x is a poet. Can we infer the following from them? Answer yes or no: For all x, neither x is a bartender nor x is a poet.",no +2744,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will not cook or x is a mechanic. For all x, x will cook or 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 is a mechanic.",no +2745,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x will work or x is an artist. For all x, x will not work or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, neither x is an artist nor x is an astronaut.",no +2746,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one z for which z will not make tea or z is poor. For all z, z will make tea or z will take a plane. Can we infer the following from them? Answer yes or no: For all z, neither z will take a plane nor z is poor.",no +2747,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x will not cook or x is a sailor. There is at least one x for which x will cook 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 sailor.",no +2748,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all x, x is a nurse or x will drink water. There is at least one x for which x is not a nurse or x is fast. Can we infer the following from them? Answer yes or no: For all x, neither x will drink water nor x is fast.",no +2749,predicate,inference,existential resolution,contradiction,"Consider the following premises: There is at least one x for which x is fast or x is a politician. 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: For all x, neither x is a politician nor x will listen to a song.",no +2750,predicate,inference,existential resolution,contradiction,"Consider the following premises: For all z, z is fast or z is a cashier. There is at least one z for which z is not fast or z will take a plane. Can we infer the following from them? Answer yes or no: For all z, neither z is a cashier nor z will take a plane.",no +2751,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is a carpenter or x will work. For all x, x is not a carpenter 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 work or x is a taxi driver.",yes +2752,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is a carpenter or x will climb a mountain. There is at least one x for which x is not a carpenter 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 will climb a mountain or x is a soldier.",yes +2753,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not an electrician or x is a janitor. There is at least one x for which x is an electrician 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 or x is a janitor.",yes +2754,predicate,inference,existential resolution,inference,"Consider the following premises: For all v, v will play squash or v will play tennis. There is at least one v for which v will not play squash or v is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one v for which v will play tennis or v is a mechanic.",yes +2755,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x will work or x is an astronaut. There is at least one x for which x will not work 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 an astronaut or x will sleep.",yes +2756,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x will work or x is sad. There is at least one x for which x will not work 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 sad or x is an office clerk.",yes +2757,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is not a soldier or x is an artist. For all x, 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 x is a carpenter or x is an artist.",yes +2758,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is bored or x is a taxi driver. For all x, x is not 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 x is a taxi driver or x will go running.",yes +2759,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is not a taxi driver or x will play squash. For all x, x is a taxi driver 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 or x will play squash.",yes +2760,predicate,inference,existential resolution,inference,"Consider the following premises: For all z_4, z_4 will not drive a car or z_4 is a nurse. There is at least one z_4 for which z_4 will drive a car or 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 drink water or z_4 is a nurse.",yes +2761,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one z for which z is not sad or z is a bartender. For all z, z is sad 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 z will climb a mountain or z is a bartender.",yes +2762,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one v for which v will not play squash or v is sad. For all v, v will play squash or v will sleep. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep or v is sad.",yes +2763,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not poor or x will read a book. There is at least one x for which x is poor 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 read a book.",yes +2764,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not fast or x is a scientist. There is at least one x for which x is fast 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 scientist.",yes +2765,predicate,inference,existential resolution,inference,"Consider the following premises: For all v, v will drink water or v will write a letter. There is at least one v for which v will not drink water 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 write a letter or v will play tennis.",yes +2766,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not a poet or x is excited. There is at least one x for which x is a poet 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 or x is excited.",yes +2767,predicate,inference,existential resolution,inference,"Consider the following premises: For all z_2, z_2 will sleep or z_2 is a lawyer. There is at least one z_2 for which z_2 will not sleep or z_2 is rich. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is a lawyer or z_2 is rich.",yes +2768,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not a bartender or x will make tea. There is at least one x for which 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 will make tea.",yes +2769,predicate,inference,existential resolution,inference,"Consider the following premises: For all z_4, z_4 will not read a book or z_4 will climb a mountain. There is at least one z_4 for which z_4 will read a book or z_4 is poor. Can we infer the following from them? Answer yes or no: There is at least one z_4 for which z_4 is poor or z_4 will climb a mountain.",yes +2770,predicate,inference,existential resolution,inference,"Consider the following premises: For all z_2, z_2 is an office clerk or z_2 will sleep. There is at least one z_2 for which z_2 is not an office clerk or z_2 will take a plane. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 will sleep or z_2 will take a plane.",yes +2771,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is not a server or x is a scientist. There is at least one x for which x is a server 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 read a book or x is a scientist.",yes +2772,predicate,inference,existential resolution,inference,"Consider the following premises: For all x, x is an astronaut or x will drive a car. There is at least one x for which x is not an astronaut 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 drive a car or x is a scientist.",yes +2773,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one x for which x is an office clerk or x will play a game. For all x, x is not an office clerk 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 play a game or x is a cashier.",yes +2774,predicate,inference,existential resolution,inference,"Consider the following premises: There is at least one z for which z will not play squash or z will sleep. For all z, z will play squash or 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 a mechanic or z will sleep.",yes +2775,predicate,inference,existential resolution,inference,"Consider the following premises: For all z_2, z_2 will play squash or z_2 is an electrician. There is at least one z_2 for which z_2 will not play squash or z_2 is poor. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which z_2 is an electrician or z_2 is poor.",yes +2776,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one w for which w is not a writer or w is an office clerk. For all w, w is a writer 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 is an office clerk.",no +2777,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is poor or x will play tennis. There is at least one x for which x is not poor 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 play tennis.",no +2778,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not drive a car or x will sleep. For all x, 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 will listen to a song.",no +2779,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will play a game or x will climb a mountain. There is at least one x for which x will not play a game 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 read a book.",no +2780,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not bored or x is a nurse. For all x, x is 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 x is a police officer.",no +2781,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is a soldier or x is poor. For all x, x is not 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 x is poor.",no +2782,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w, w is not happy or w will climb a mountain. There is at least one w for which w is happy or w is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w for which w is an electrician.",no +2783,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one w for which w will read a book or w is a carpenter. For all w, w will not read a book or 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 carpenter.",no +2784,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will drive a car or x is a bartender. There is at least one x for which x will not drive a car 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 +2785,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one w for which w is not a sailor or w is an artist. For all w, w is a sailor or w will play squash. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash.",no +2786,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one v for which v will not write a letter or v is a lawyer. For all v, v will write a letter 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 v will play a game.",no +2787,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w, w will not make tea or w will listen to a song. There is at least one w for which w will make tea or w will play squash. Can we infer the following from them? Answer yes or no: There is at least one w for which w will play squash.",no +2788,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not a nurse or x will write a letter. For all x, 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 is a taxi driver.",no +2789,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not fast or x will climb a mountain. For all x, x is fast 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.",no +2790,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all y_4, y_4 will not take a plane or y_4 is bored. There is at least one y_4 for which y_4 will take a plane or y_4 is a politician. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is a politician.",no +2791,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one w_3 for which w_3 is a janitor or w_3 is bored. For all w_3, w_3 is not a janitor or w_3 is a politician. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is a politician.",no +2792,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x will not climb a mountain or x is a musician. For all x, x will climb a mountain 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 musician.",no +2793,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x will take a plane or x will play tennis. There is at least one x for which x will not take a plane 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 +2794,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all z, z will read a book or z is a politician. There is at least one z for which z will not read a book or 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 a politician.",no +2795,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w_3, w_3 will not play a game or w_3 will play squash. There is at least one w_3 for which w_3 will play a game or w_3 is rich. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 will play squash.",no +2796,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not happy or x will drink water. For all x, x is happy 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 lawyer.",no +2797,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w, w is a nurse or w will listen to a song. There is at least one w for which w is not 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 will sleep.",no +2798,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all w_3, w_3 is a doctor or w_3 is sad. There is at least one w_3 for which w_3 is not a doctor or w_3 is an electrician. Can we infer the following from them? Answer yes or no: There is at least one w_3 for which w_3 is sad.",no +2799,predicate,inference,existential resolution,unrelated,"Consider the following premises: For all x, x is an office clerk or x is a server. There is at least one x for which x is not an office clerk 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 a server.",no +2800,predicate,inference,existential resolution,unrelated,"Consider the following premises: There is at least one x for which x is not fast or x will play squash. For all x, x is fast 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 play squash.",no +2801,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 will climb a mountain and y_1 is fast. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is not fast.",no +2802,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v for which v is an electrician and v is a server. Can we infer the following from them? Answer yes or no: For all v, v is not a server.",no +2803,predicate,inference,existential simplification,contradiction,"Consider the following premises: Some janitors 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 +2804,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 will write a letter and w_4 is bored. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is not bored.",no +2805,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will write a letter and x is poor. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no +2806,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will listen to a song and x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no +2807,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is a sailor and x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is not a sailor.",no +2808,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 will play a game and z_3 will work. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will not play a game.",no +2809,predicate,inference,existential simplification,contradiction,"Consider the following premises: Some scientists will play squash. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not a scientist.",no +2810,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 take a plane. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no +2811,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will play a game and 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 +2812,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one z_3 for which z_3 will play squash and z_3 will sleep. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will not play squash.",no +2813,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 is sad and y_1 will go running. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is not sad.",no +2814,predicate,inference,existential simplification,contradiction,"Consider the following premises: Some nurses will work. Can we infer the following from them? Answer yes or no: For all x_2, x_2 is not a nurse.",no +2815,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one w_4 for which w_4 will listen to a song and w_4 is a police officer. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will not listen to a song.",no +2816,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v_3 for which v_3 is curious and v_3 will drive 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 +2817,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is fast and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no +2818,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is an electrician and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not an electrician.",no +2819,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 is a taxi driver and y_1 is a janitor. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is not a taxi driver.",no +2820,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x will play tennis 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 +2821,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 a police officer. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no +2822,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one x for which x is poor 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 +2823,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 curious. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +2824,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one v_3 for which v_3 will play squash and v_3 is a poet. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is not a poet.",no +2825,predicate,inference,existential simplification,contradiction,"Consider the following premises: There is at least one y_1 for which y_1 will play a game and y_1 is a cashier. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will not play a game.",no +2826,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is an electrician 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 is an electrician.,yes +2827,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one y for which y will go running 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 +2828,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is rich and w is bored. Can we infer the following from them? Answer yes or no: There is at least one w for which w is bored.,yes +2829,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will go running 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 +2830,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is happy 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 happy.,yes +2831,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is excited 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 +2832,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will write a letter 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 write a letter.,yes +2833,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is a lawyer 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 lawyer.,yes +2834,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will play squash 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 an office clerk.,yes +2835,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will read a book 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.,yes +2836,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will drink water 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 will drink water.,yes +2837,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w will cook 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 +2838,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is an electrician 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 an electrician.,yes +2839,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x will make tea 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 +2840,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is a bartender 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 a taxi driver.,yes +2841,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 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 +2842,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 sleep. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.,yes +2843,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one w for which w is a mechanic 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.,yes +2844,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which 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 will play squash.,yes +2845,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which x is bored 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 an electrician.,yes +2846,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one x for which 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 x will cook.,yes +2847,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 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 +2848,predicate,inference,existential simplification,inference,Consider the following premises: Some nurses 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 +2849,predicate,inference,existential simplification,inference,Consider the following premises: Some cashiers 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 cashier.,yes +2850,predicate,inference,existential simplification,inference,Consider the following premises: There is at least one y for which y will climb a mountain 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 will climb a mountain.,yes +2851,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w is sad and w will play squash. Can we infer the following from them? Answer yes or no: There is at least one w for which w is rich.,no +2852,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is a taxi driver and w_1 will write a letter. 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 +2853,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 will go running and 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 is not a nurse.,no +2854,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will play tennis 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 is not a doctor.,no +2855,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 will drink water and w_1 is a soldier. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 will not write a letter.,no +2856,predicate,inference,existential simplification,unrelated,Consider the following premises: Some carpenters 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.,no +2857,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is a cashier 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 not climb a mountain.,no +2858,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x will sleep 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 drink water.,no +2859,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 tennis. 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 +2860,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is an electrician and w_1 is 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 go running.,no +2861,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will play tennis and 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 musician.,no +2862,predicate,inference,existential simplification,unrelated,Consider the following premises: Some bartenders 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 drink water.,no +2863,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will drink water and 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 read a book.,no +2864,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will play a game 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 a scientist.,no +2865,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one u for which u will drink water and 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 not a politician.,no +2866,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which 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 not sleep.,no +2867,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will go running and 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 poet.,no +2868,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one u for which u is sad 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 will climb a mountain.,no +2869,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 is bored and w_1 will cook. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is sad.,no +2870,predicate,inference,existential simplification,unrelated,Consider the following premises: Some nurses are lawyers. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is an office clerk.,no +2871,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will play a game and w will play tennis. 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 +2872,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w for which w will take a plane 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 go running.,no +2873,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one u for which u will drink water and 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 play squash.,no +2874,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one x for which x is happy and 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 janitor.,no +2875,predicate,inference,existential simplification,unrelated,Consider the following premises: There is at least one w_1 for which w_1 will play a game and w_1 will read a book. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which w_1 is an astronaut.,no +2876,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 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: For all x, the fact that x were an office clerk does not imply that x is driving a car.",no +2877,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w were a writer, then w is running. There is at least one w for which if w goes running, then w is reading a book. Can we infer the following from them? Answer yes or no: For all w, the fact that w were a writer does not imply that w is reading a book.",no +2878,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w were a cashier, then w is playing tennis. There is at least one w for which if w takes a plane, then w is a cashier. Can we infer the following from them? Answer yes or no: For all w, the fact that w takes a plane does not imply that w is playing tennis.",no +2879,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one w for which if w plays a game, then w is taking a plane. For all w, if w sleeps, then w is playing a game. Can we infer the following from them? Answer yes or no: For all w, the fact that w sleeps does not imply that w is taking a plane.",no +2880,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one w for which if w drives a car, then w is happy. For all w, if w were happy, then w is an artist. Can we infer the following from them? Answer yes or no: For all w, the fact that w drives a car does not imply that w is an artist.",no +2881,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a politician, then x is taking a plane. There is at least one x for which if x takes a plane, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, the fact that x were a politician does not imply that x is a mechanic.",no +2882,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is a musician. For all x, if x were a musician, then x is excited. 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 excited.",no +2883,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one v_2 for which if v_2 listens to a song, then v_2 is happy. For all v_2, if v_2 were a poet, then v_2 is listening to a song. Can we infer the following from them? Answer yes or no: For all v_2, the fact that v_2 were a poet does not imply that v_2 is happy.",no +2884,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one v for which if v works, then v is a nurse. For all v, if v were a nurse, then v is a soldier. Can we infer the following from them? Answer yes or no: For all v, the fact that v works does not imply that v is a soldier.",no +2885,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a poet, then x is a taxi driver. There is at least one x for which if x were a taxi driver, then x is an artist. 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 an artist.",no +2886,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is sad. There is at least one x for which if x drinks water, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, the fact that x drinks water does not imply that x is sad.",no +2887,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one w for which if w were bored, then w is fast. For all w, if w drinks water, then w is bored. Can we infer the following from them? Answer yes or no: For all w, the fact that w drinks water does not imply that w is fast.",no +2888,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w were rich, then w is driving a car. There is at least one w for which if w drinks water, then w is rich. Can we infer the following from them? Answer yes or no: For all w, the fact that w drinks water does not imply that w is driving a car.",no +2889,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were an artist, then x is excited. There is at least one x for which 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 excited.",no +2890,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were happy, then x is taking a plane. There is at least one x for which if x goes running, then x is happy. 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 taking a plane.",no +2891,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x makes tea, then x is playing squash. There is at least one x for which if x drives a car, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, the fact that x drives a car does not imply that x is playing squash.",no +2892,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a bartender, then x is fast. There is at least one x for which if x were fast, 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 a bartender does not imply that x is driving a car.",no +2893,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x takes a plane, 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, the fact that x takes a plane does not imply that x is sleeping.",no +2894,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x goes running, then x is happy. For all x, if x were happy, then x is sad. 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 sad.",no +2895,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all w, if w were sad, then w is a carpenter. There is at least one w for which if w were a carpenter, then w is reading a book. Can we infer the following from them? Answer yes or no: For all w, the fact that w were sad does not imply that w is reading a book.",no +2896,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x reads a book, then x is happy. For all x, if x were a nurse, 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 nurse does not imply that x is happy.",no +2897,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 a politician. 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, the fact that x drives a car does not imply that x is a politician.",no +2898,predicate,inference,existential transitivity,contradiction,"Consider the following premises: There is at least one x for which if x listens to a song, then x is bored. For all x, if x were bored, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, the fact that x listens to a song does not imply that x is reading a book.",no +2899,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all x, if x were a poet, then x is a janitor. There is at least one x for which if x were a janitor, then x is a server. 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 a server.",no +2900,predicate,inference,existential transitivity,contradiction,"Consider the following premises: For all v, if v works, then v is taking a plane. There is at least one v for which if v were a doctor, then v is working. Can we infer the following from them? Answer yes or no: For all v, the fact that v were a doctor does not imply that v is taking a plane.",no +2901,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one u for which if u climbs a mountain, then u is writing a letter. For all u, if u were a soldier, 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 if u were a soldier, then u is writing a letter.",yes +2902,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one z for which if z goes running, then z is curious. For all z, if z were a scientist, then z is running. Can we infer the following from them? Answer yes or no: There is at least one z for which if z were a scientist, then z is curious.",yes +2903,predicate,inference,existential transitivity,inference,"Consider the following premises: For all u, if u were an artist, then u is a scientist. There is at least one u for which if u were a scientist, 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 if u were an artist, then u is listening to a song.",yes +2904,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 curious. For all x, if x were a taxi driver, 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 were a taxi driver, then x is curious.",yes +2905,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x reads a book, then x is playing a game. For all x, if x were a musician, 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 if x were a musician, then x is playing a game.",yes +2906,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one u for which if u plays tennis, then u is reading a book. For all u, if u were a scientist, then u is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one u for which if u were a scientist, then u is reading a book.",yes +2907,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a scientist, then x is sleeping. For all x, if x sleeps, then x is a politician. Can we infer the following from them? Answer yes or no: There is at least one x for which if x were a scientist, then x is a politician.",yes +2908,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one y_4 for which if y_4 were poor, then y_4 is a musician. For all y_4, if y_4 were a musician, then y_4 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which if y_4 were poor, then y_4 is a sailor.",yes +2909,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one y_4 for which if y_4 cooks, then y_4 is poor. For all y_4, if y_4 were poor, then y_4 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which if y_4 cooks, then y_4 is an office clerk.",yes +2910,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were excited, then x is a writer. For all x, 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 if x were excited, then x is a soldier.",yes +2911,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x listens to a song, then x is working. There is at least one x for which 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 if x goes running, then x is working.",yes +2912,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x plays a game, then x is a server. There is at least one x for which if x were a server, 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 plays a game, then x is writing a letter.",yes +2913,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one z_3 for which if z_3 drinks water, then z_3 is playing tennis. For all z_3, if z_3 plays tennis, then z_3 is taking a plane. 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 taking a plane.",yes +2914,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one u for which if u were bored, then u is happy. For all u, if u were a musician, then u is bored. Can we infer the following from them? Answer yes or no: There is at least one u for which if u were a musician, then u is happy.",yes +2915,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one z_3 for which if z_3 were a lawyer, then z_3 is a poet. For all z_3, if z_3 were a poet, then z_3 is a taxi driver. 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 lawyer, then z_3 is a taxi driver.",yes +2916,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x plays a game, then x is playing squash. There is at least one x for which 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 if x takes a plane, then x is playing squash.",yes +2917,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 a server. For all x, if x were a server, then x is a carpenter. 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 a carpenter.",yes +2918,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 playing squash. 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 if x cooks, then x is playing squash.",yes +2919,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a sailor, then x is poor. There is at least one x for which if x were curious, 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 curious, then x is poor.",yes +2920,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one v for which if v makes tea, then v is climbing a mountain. For all v, if v were an astronaut, then v is making tea. Can we infer the following from them? Answer yes or no: There is at least one v for which if v were an astronaut, then v is climbing a mountain.",yes +2921,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a poet, then x is a sailor. 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 if x were a poet, then x is rich.",yes +2922,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were an artist, then x is a writer. There is at least one x for which 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 if x were an artist, then x is playing a game.",yes +2923,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x were a carpenter, then x is playing a game. There is at least one x for which if x were bored, then x is a carpenter. 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 playing a game.",yes +2924,predicate,inference,existential transitivity,inference,"Consider the following premises: For all x, if x writes a letter, then x is drinking water. There is at least one x for which 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 if x were an office clerk, then x is drinking water.",yes +2925,predicate,inference,existential transitivity,inference,"Consider the following premises: There is at least one x for which if x were a lawyer, then x is a carpenter. For all x, if x were happy, 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 happy, then x is a carpenter.",yes +2926,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y for which if y were a sailor, then y is a musician. For all y, if y were an office clerk, then y is a sailor. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a sailor.",no +2927,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x cooks, then x is a cashier. There is at least one x for which 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 will play squash.",no +2928,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were an electrician, then x is rich. There is at least one x for which if x were rich, 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 rich.",no +2929,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were rich, then x is running. There is at least one x for which 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 rich.",no +2930,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is making tea. There is at least one x for which if x drinks water, 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 drink water.",no +2931,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one y_4 for which if y_4 climbs a mountain, then y_4 is a scientist. For all y_4, if y_4 were a scientist, then y_4 is listening 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 a scientist.",no +2932,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were bored, then x is a cashier. For all x, if x were a cashier, 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 bored.",no +2933,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all z, if z were a poet, then z is playing squash. There is at least one z for which if z plays squash, 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 poet.",no +2934,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x drinks water, then x is a taxi driver. There is at least one x for which 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 drink water.",no +2935,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x listens to a song, then x is a nurse. 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 x will read a book.",no +2936,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all v_4, if v_4 makes tea, then v_4 is a taxi driver. There is at least one v_4 for which if v_4 were a taxi driver, then 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 taxi driver.",no +2937,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is happy. There is at least one x for which if x were happy, 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 is happy.",no +2938,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is a police officer. There is at least one x for which if x were a police officer, 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 take a plane.",no +2939,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were an artist, 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: There is at least one x for which x is an artist.",no +2940,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were an electrician, then x is a nurse. There is at least one x for which if x were a nurse, 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 an electrician.",no +2941,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is drinking water. 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: There is at least one x for which x will drink water.",no +2942,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one u_1 for which if u_1 writes a letter, then u_1 is working. For all u_1, if u_1 drinks water, then u_1 is writing a letter. Can we infer the following from them? Answer yes or no: There is at least one u_1 for which u_1 will work.",no +2943,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a mechanic, then x is reading a book. There is at least one x for which if x reads a book, 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.",no +2944,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x drinks water, then x is a poet. For all x, if x were a poet, 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 +2945,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one z for which if z were a mechanic, then z is poor. For all z, if z were happy, then 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 poor.",no +2946,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one x for which if x were a cashier, then x is an electrician. For all x, if x were a poet, 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 an electrician.",no +2947,predicate,inference,existential transitivity,unrelated,"Consider the following premises: There is at least one z for which if z listens to a song, then z is a writer. For all z, if z were a writer, 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 z is a writer.",no +2948,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is happy. There is at least one x for which 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 x is sad.",no +2949,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all x, if x goes running, then x is a bartender. There is at least one x for which if x were a police officer, 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 a police officer.",no +2950,predicate,inference,existential transitivity,unrelated,"Consider the following premises: For all u_1, if u_1 were sad, then u_1 is drinking water. There is at least one u_1 for which if u_1 drinks water, 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 is sad.",no +2951,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no +2952,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Elisabeth is a musician and Elisabeth is a musician. Can we infer the following from them? Answer yes or no: Elisabeth is not a musician.,no +2953,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is a nurse and Richard is a nurse. Can we infer the following from them? Answer yes or no: Richard is not a nurse.,no +2954,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Charles is an office clerk or Charles is an office clerk. Can we infer the following from them? Answer yes or no: Charles is not an office clerk.,no +2955,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 +2956,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Sarah is curious and Sarah is curious. Can we infer the following from them? Answer yes or no: Sarah is not curious.,no +2957,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is late and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no +2958,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is late or it is late. Can we infer the following from them? Answer yes or no: It is not late.,no +2959,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is a cashier and Richard is a cashier. Can we infer the following from them? Answer yes or no: Richard is not a cashier.,no +2960,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 +2961,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cold or it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no +2962,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Richard is an office clerk or Richard is an office clerk. Can we infer the following from them? Answer yes or no: Richard is not an office clerk.,no +2963,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Jessica is making tea and Jessica is making tea. Can we infer the following from them? Answer yes or no: Jessica is not making tea.,no +2964,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is late and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no +2965,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Sarah is curious and Sarah is curious. Can we infer the following from them? Answer yes or no: Sarah is not curious.,no +2966,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: John is writing a letter and John is writing a letter. Can we infer the following from them? Answer yes or no: John is not writing a letter.,no +2967,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Patricia is taking a plane or Patricia is taking a plane. Can we infer the following from them? Answer yes or no: Patricia is not taking a plane.,no +2968,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Thomas is working or Thomas is working. Can we infer the following from them? Answer yes or no: Thomas is not working.,no +2969,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Elisabeth is running and Elisabeth is running. Can we infer the following from them? Answer yes or no: Elisabeth is not running.,no +2970,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: William is a mechanic or William is a mechanic. Can we infer the following from them? Answer yes or no: William is not a mechanic.,no +2971,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: It is cloudy or it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +2972,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Susan is a carpenter and Susan is a carpenter. Can we infer the following from them? Answer yes or no: Susan is not a carpenter.,no +2973,propositional,equivalent,idempotent laws,contradiction,Consider the following premises: Charles is poor or Charles is poor. Can we infer the following from them? Answer yes or no: Charles is not poor.,no +2974,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 +2975,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 +2976,propositional,equivalent,idempotent laws,inference,Consider the following premises: Linda is reading a book or Linda is reading a book. Can we infer the following from them? Answer yes or no: Linda is reading a book.,yes +2977,propositional,equivalent,idempotent laws,inference,Consider the following premises: Barbara is playing squash or Barbara is playing squash. Can we infer the following from them? Answer yes or no: Barbara is playing squash.,yes +2978,propositional,equivalent,idempotent laws,inference,Consider the following premises: Mary is a poet or Mary is a poet. Can we infer the following from them? Answer yes or no: Mary is a poet.,yes +2979,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 +2980,propositional,equivalent,idempotent laws,inference,Consider the following premises: James is a carpenter and James is a carpenter. Can we infer the following from them? Answer yes or no: James is a carpenter.,yes +2981,propositional,equivalent,idempotent laws,inference,Consider the following premises: Mary is writing a letter and Mary is writing a letter. Can we infer the following from them? Answer yes or no: Mary is writing a letter.,yes +2982,propositional,equivalent,idempotent laws,inference,Consider the following premises: John is a mechanic or John is a mechanic. Can we infer the following from them? Answer yes or no: John is a mechanic.,yes +2983,propositional,equivalent,idempotent laws,inference,Consider the following premises: Jessica is listening to a song or Jessica is listening to a song. Can we infer the following from them? Answer yes or no: Jessica is listening to a song.,yes +2984,propositional,equivalent,idempotent laws,inference,Consider the following premises: Robert is a cashier and Robert is a cashier. Can we infer the following from them? Answer yes or no: Robert is a cashier.,yes +2985,propositional,equivalent,idempotent laws,inference,Consider the following premises: Patricia is working or Patricia is working. Can we infer the following from them? Answer yes or no: Patricia is working.,yes +2986,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 +2987,propositional,equivalent,idempotent laws,inference,Consider the following premises: Linda is a server or Linda is a server. Can we infer the following from them? Answer yes or no: Linda is a server.,yes +2988,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 +2989,propositional,equivalent,idempotent laws,inference,Consider the following premises: Susan is making tea and Susan is making tea. Can we infer the following from them? Answer yes or no: Susan is making tea.,yes +2990,propositional,equivalent,idempotent laws,inference,Consider the following premises: Michael is a police officer or Michael is a police officer. Can we infer the following from them? Answer yes or no: Michael is a police officer.,yes +2991,propositional,equivalent,idempotent laws,inference,Consider the following premises: Elisabeth is driving a car or Elisabeth is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is driving a car.,yes +2992,propositional,equivalent,idempotent laws,inference,Consider the following premises: Richard is a server or Richard is a server. Can we infer the following from them? Answer yes or no: Richard is a server.,yes +2993,propositional,equivalent,idempotent laws,inference,Consider the following premises: It is sunny and it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +2994,propositional,equivalent,idempotent laws,inference,Consider the following premises: Susan is a politician and Susan is a politician. Can we infer the following from them? Answer yes or no: Susan is a politician.,yes +2995,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 +2996,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 +2997,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 +2998,propositional,equivalent,idempotent laws,inference,Consider the following premises: Robert is climbing a mountain and Robert is climbing a mountain. Can we infer the following from them? Answer yes or no: Robert is climbing a mountain.,yes +2999,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 +3000,propositional,equivalent,idempotent laws,inference,Consider the following premises: Michael is bored and Michael is bored. Can we infer the following from them? Answer yes or no: Michael is bored.,yes +3001,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Barbara is bored and Barbara is bored. Can we infer the following from them? Answer yes or no: Linda is a soldier.,no +3002,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: It is cold.,no +3003,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Linda is a poet or Linda is a poet. Can we infer the following from them? Answer yes or no: David is not driving a car.,no +3004,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: Joseph is not a cashier.,no +3005,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Linda is taking a plane or Linda is taking a plane. Can we infer the following from them? Answer yes or no: Jennifer is not a cashier.,no +3006,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: It is not snowing.,no +3007,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: Elisabeth is not climbing a mountain.,no +3008,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is raining and it is raining. Can we infer the following from them? Answer yes or no: Linda is climbing a mountain.,no +3009,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jennifer is fast or Jennifer is fast. Can we infer the following from them? Answer yes or no: William is a bartender.,no +3010,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Elisabeth is a scientist and Elisabeth is a scientist. Can we infer the following from them? Answer yes or no: It is not cold.,no +3011,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Thomas is a sailor and Thomas is a sailor. Can we infer the following from them? Answer yes or no: It is sunny.,no +3012,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: It is windy.,no +3013,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Linda is an electrician or Linda is an electrician. Can we infer the following from them? Answer yes or no: Jessica is not reading a book.,no +3014,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Mary is poor and Mary is poor. Can we infer the following from them? Answer yes or no: Mary is not writing a letter.,no +3015,propositional,equivalent,idempotent laws,unrelated,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 late.,no +3016,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Mary is reading a book and Mary is reading a book. Can we infer the following from them? Answer yes or no: Karen is not sleeping.,no +3017,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Thomas is an electrician or Thomas is an electrician. Can we infer the following from them? Answer yes or no: Sarah is not playing a game.,no +3018,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Jessica is rich or Jessica is rich. Can we infer the following from them? Answer yes or no: It is not snowing.,no +3019,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: It is raining and it is raining. Can we infer the following from them? Answer yes or no: Jessica is drinking water.,no +3020,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 +3021,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Barbara is a soldier and Barbara is a soldier. Can we infer the following from them? Answer yes or no: It is not sunny.,no +3022,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: William is reading a book or William is reading a book. Can we infer the following from them? Answer yes or no: David is not taking a plane.,no +3023,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: Charles is excited and Charles is excited. Can we infer the following from them? Answer yes or no: Charles is not playing a game.,no +3024,propositional,equivalent,idempotent laws,unrelated,Consider the following premises: David is poor and David is poor. Can we infer the following from them? Answer yes or no: It is not cloudy.,no +3025,propositional,equivalent,idempotent laws,unrelated,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 cold.,no +3026,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is sunny, then Charles is poor. Can we infer the following from them? Answer yes or no: If Charles were poor, then it is sunny.",no +3027,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Charles plays tennis, then Karen is sleeping. Can we infer the following from them? Answer yes or no: If Karen sleeps, then Charles is playing tennis.",no +3028,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is sunny, then John is a soldier. Can we infer the following from them? Answer yes or no: If John were a soldier, then it is sunny.",no +3029,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is cold, then Mary is running. Can we infer the following from them? Answer yes or no: If Mary goes running, then it is cold.",no +3030,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Karen were a nurse, then Thomas is sad. Can we infer the following from them? Answer yes or no: If Thomas were sad, then Karen is a nurse.",no +3031,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Jessica climbs a mountain, then Jennifer is an astronaut. Can we infer the following from them? Answer yes or no: If Jennifer were an astronaut, then Jessica is climbing a mountain.",no +3032,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is windy, then Robert is playing a game. Can we infer the following from them? Answer yes or no: If Robert plays a game, then it is windy.",no +3033,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Patricia were poor, then Jennifer is a scientist. Can we infer the following from them? Answer yes or no: If Jennifer were a scientist, then Patricia is poor.",no +3034,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Linda climbs a mountain, then Joseph is a nurse. Can we infer the following from them? Answer yes or no: If Joseph were a nurse, then Linda is climbing a mountain.",no +3035,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Robert were curious, then David is excited. Can we infer the following from them? Answer yes or no: If David were excited, then Robert is curious.",no +3036,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is cold, then it is sunny. Can we infer the following from them? Answer yes or no: If it is sunny, then it is cold.",no +3037,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it rains, then Patricia is sleeping. Can we infer the following from them? Answer yes or no: If Patricia sleeps, then it is raining.",no +3038,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If James drives a car, then Sarah is a soldier. Can we infer the following from them? Answer yes or no: If Sarah were a soldier, then James is driving a car.",no +3039,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it is windy, then Barbara is a writer. Can we infer the following from them? Answer yes or no: If Barbara were a writer, then it is windy.",no +3040,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Joseph were fast, then Charles is a cashier. Can we infer the following from them? Answer yes or no: If Charles were a cashier, then Joseph is fast.",no +3041,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If James goes running, then Linda is playing a game. Can we infer the following from them? Answer yes or no: If Linda plays a game, then James is running.",no +3042,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Charles were a poet, then it is cloudy. Can we infer the following from them? Answer yes or no: If it is cloudy, then Charles is a poet.",no +3043,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan reads a book, then it is cold. Can we infer the following from them? Answer yes or no: If it is cold, then Susan is reading a book.",no +3044,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If James were a mechanic, then Patricia is an astronaut. Can we infer the following from them? Answer yes or no: If Patricia were an astronaut, then James is a mechanic.",no +3045,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Karen climbs a mountain, then it is snowing. Can we infer the following from them? Answer yes or no: If it snows, then Karen is climbing a mountain.",no +3046,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Patricia were an astronaut, then it is sunny. Can we infer the following from them? Answer yes or no: If it is sunny, then Patricia is an astronaut.",no +3047,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If it snows, then Richard is taking a plane. Can we infer the following from them? Answer yes or no: If Richard takes a plane, then it is snowing.",no +3048,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Robert makes tea, then it is raining. Can we infer the following from them? Answer yes or no: If it rains, then Robert is making tea.",no +3049,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If William were poor, then Sarah is a soldier. Can we infer the following from them? Answer yes or no: If Sarah were a soldier, then William is poor.",no +3050,propositional,fallacy,illicit commutativity,inference,"Consider the following premises: If Susan plays a game, then Patricia is a scientist. Can we infer the following from them? Answer yes or no: If Patricia were a scientist, then Susan is playing a game.",no +3051,predicate,fallacy,illicit major,inference,"Consider the following premises: For all y, if y drives a car, then y is playing tennis. There is at least one y for which y will play tennis. 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 +3052,predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were a musician, then x is an astronaut. 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 is a musician.",no +3053,predicate,fallacy,illicit major,inference,"Consider the following premises: For all v, if v takes a plane, then v is a musician. 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 take a plane.",no +3054,predicate,fallacy,illicit major,inference,"Consider the following premises: For all v, if v were rich, then v is taking a plane. 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 is rich.",no +3055,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will read a book. For all x, if x works, 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 work.",no +3056,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one y for which y is a bartender. For all y, if y were an astronaut, then 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 an astronaut.",no +3057,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will make tea. 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 play tennis.",no +3058,predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were a police officer, then x is listening to a song. 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 police officer.",no +3059,predicate,fallacy,illicit major,inference,"Consider the following premises: For all v, if v were a mechanic, then v is a carpenter. There is at least one v for which v is a carpenter. Can we infer the following from them? Answer yes or no: There is at least one v for which v is a mechanic.",no +3060,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will cook. For all x, if x works, 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 work.",no +3061,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one y for which y is a taxi driver. For all y, if y writes a letter, 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 y will write a letter.",no +3062,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one z for which z is rich. For all z, if z makes tea, then z is rich. Can we infer the following from them? Answer yes or no: There is at least one z for which z will make tea.",no +3063,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will climb a mountain. For all x, 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 a lawyer.",no +3064,predicate,fallacy,illicit major,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 a scientist. Can we infer the following from them? Answer yes or no: There is at least one x for which x will go running.",no +3065,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is a server. For all x, if x were fast, 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 fast.",no +3066,predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x writes a letter, then x is an astronaut. 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 write a letter.",no +3067,predicate,fallacy,illicit major,inference,"Consider the following premises: For all z, if z drinks water, then z is a politician. 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 will drink water.",no +3068,predicate,fallacy,illicit major,inference,"Consider the following premises: For all y, if y reads a book, then y is 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 read a book.",no +3069,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x will climb a mountain. For all x, if x reads a book, 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 read a book.",no +3070,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is a nurse. For all x, if x were a doctor, 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 doctor.",no +3071,predicate,fallacy,illicit major,inference,"Consider the following premises: For all x, if x were a mechanic, then x is a scientist. There is at least one x for which 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 mechanic.",no +3072,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one v for which v is a cashier. For all v, if v were a police officer, then 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 police officer.",no +3073,predicate,fallacy,illicit major,inference,"Consider the following premises: For all z, if z were a lawyer, 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 lawyer.",no +3074,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 a police officer, 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 a police officer.",no +3075,predicate,fallacy,illicit major,inference,"Consider the following premises: There is at least one x for which x is poor. For all x, 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 is a janitor.",no +3076,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x_4, if x_4 were sad, then x_4 is a scientist. For all x_4, if x_4 were sad, then x_4 is a sailor. Can we infer the following from them? Answer yes or no: For all x_4, if x_4 were a sailor, then x_4 is a scientist.",no +3077,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a mechanic, then z is taking a plane. For all z, if z were a mechanic, then z is playing squash. Can we infer the following from them? Answer yes or no: For all z, if z plays squash, then z is taking a plane.",no +3078,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were a janitor, then z is working. For all z, if z were a janitor, then z is playing a game. Can we infer the following from them? Answer yes or no: For all z, if z works, then z is playing a game.",no +3079,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a nurse, then x is making tea. 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 works, then x is making tea.",no +3080,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all v, if v goes running, then v is bored. For all v, if v goes running, then v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, if v were bored, then v is a carpenter.",no +3081,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x_4, if x_4 takes a plane, then x_4 is a mechanic. For all x_4, if x_4 takes a plane, then x_4 is listening to a song. Can we infer the following from them? Answer yes or no: For all x_4, if x_4 listens to a song, then x_4 is a mechanic.",no +3082,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all w_3, if w_3 were a sailor, then w_3 is bored. For all w_3, if w_3 were a sailor, then w_3 is a lawyer. Can we infer the following from them? Answer yes or no: For all w_3, if w_3 were bored, then w_3 is a lawyer.",no +3083,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were curious, then x is taking a plane. For all x, if x were curious, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, if x takes a plane, then x is reading a book.",no +3084,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were fast, then x is rich. For all x, if x were fast, 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 rich.",no +3085,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all w_3, if w_3 were poor, then w_3 is an office clerk. For all w_3, if w_3 were poor, then w_3 is a poet. Can we infer the following from them? Answer yes or no: For all w_3, if w_3 were a poet, then w_3 is an office clerk.",no +3086,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all w_3, if w_3 sleeps, then w_3 is drinking water. For all w_3, if w_3 sleeps, then w_3 is reading a book. Can we infer the following from them? Answer yes or no: For all w_3, if w_3 drinks water, then w_3 is reading a book.",no +3087,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x writes a letter, then x is an astronaut. For all x, if x writes a letter, then 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.",no +3088,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all v, if v cooks, then v is a cashier. For all v, if v cooks, then v is a poet. Can we infer the following from them? Answer yes or no: For all v, if v were a cashier, then v is a poet.",no +3089,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all y, if y listens to a song, then y is a musician. For all y, if y listens to a song, then y is playing squash. Can we infer the following from them? Answer yes or no: For all y, if y were a musician, then y is playing squash.",no +3090,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all v, if v were fast, then v is a nurse. For all v, if v were fast, then v is a taxi driver. Can we infer the following from them? Answer yes or no: For all v, if v were a taxi driver, then v is a nurse.",no +3091,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x plays a game, then x is driving a car. For all x, if x plays a game, 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 driving a car.",no +3092,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all w_3, if w_3 plays squash, then w_3 is listening to a song. For all w_3, if w_3 plays squash, then w_3 is playing a game. Can we infer the following from them? Answer yes or no: For all w_3, if w_3 plays a game, then w_3 is listening to a song.",no +3093,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all w_3, if w_3 were a lawyer, then w_3 is playing squash. For all w_3, if w_3 were a lawyer, then w_3 is happy. Can we infer the following from them? Answer yes or no: For all w_3, if w_3 were happy, then w_3 is playing squash.",no +3094,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x were a janitor, then x is running. For all x, if x were a janitor, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is an electrician.",no +3095,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 happy. Can we infer the following from them? Answer yes or no: For all z, if z were happy, then z is running.",no +3096,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x, if x plays squash, then x is a musician. For all x, if x plays squash, then x is writing 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.",no +3097,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all z, if z were an artist, then z is reading a book. For all z, if z were an artist, then z is writing a letter. Can we infer the following from them? Answer yes or no: For all z, if z writes a letter, then z is reading a book.",no +3098,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all x_4, if x_4 makes tea, then x_4 is reading a book. For all x_4, if x_4 makes tea, then x_4 is excited. Can we infer the following from them? Answer yes or no: For all x_4, if x_4 reads a book, then x_4 is excited.",no +3099,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all v, if v were happy, then v is taking a plane. For all v, if v were happy, then v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, if v takes a plane, then v is a carpenter.",no +3100,predicate,fallacy,illicit minor,inference,"Consider the following premises: For all v, if v were a doctor, then v is playing a game. For all v, if v were a doctor, then v is reading a book. Can we infer the following from them? Answer yes or no: For all v, if v plays a game, then v is reading a book.",no +3101,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Charles cooks, then it is overcast. Charles is cooking. Can we infer the following from them? Answer yes or no: It is not overcast.",no +3102,propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is cold, then David is happy. It is cold. Can we infer the following from them? Answer yes or no: David is not happy.",no +3103,propositional,inference,modus ponens,contradiction,"Consider the following premises: Michael is a musician. If Michael were a musician, then it is cloudy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3104,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Susan were a sailor, then Elisabeth is curious. Susan is a sailor. Can we infer the following from them? Answer yes or no: Elisabeth is not curious.",no +3105,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Mary plays tennis, then Karen is happy. Mary is playing tennis. Can we infer the following from them? Answer yes or no: Karen is not happy.",no +3106,propositional,inference,modus ponens,contradiction,"Consider the following premises: James is a taxi driver. If James were a taxi driver, then it is snowing. Can we infer the following from them? Answer yes or no: It is not snowing.",no +3107,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Joseph were a server, then it is late. Joseph is a server. Can we infer the following from them? Answer yes or no: It is not late.",no +3108,propositional,inference,modus ponens,contradiction,"Consider the following premises: Richard is sad. If Richard were sad, then it is sunny. Can we infer the following from them? Answer yes or no: It is not sunny.",no +3109,propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is late, then Thomas is climbing a mountain. It is late. Can we infer the following from them? Answer yes or no: Thomas is not climbing a mountain.",no +3110,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Patricia were bored, then James is making tea. Patricia is bored. Can we infer the following from them? Answer yes or no: James is not making tea.",no +3111,propositional,inference,modus ponens,contradiction,"Consider the following premises: If James plays tennis, then John is writing a letter. James is playing tennis. Can we infer the following from them? Answer yes or no: John is not writing a letter.",no +3112,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Richard drives a car, then Linda is reading a book. Richard is driving a car. Can we infer the following from them? Answer yes or no: Linda is not reading a book.",no +3113,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Susan were happy, then it is late. Susan is happy. Can we infer the following from them? Answer yes or no: It is not late.",no +3114,propositional,inference,modus ponens,contradiction,"Consider the following premises: It is cloudy. If it is cloudy, then Robert is a soldier. Can we infer the following from them? Answer yes or no: Robert is not a soldier.",no +3115,propositional,inference,modus ponens,contradiction,"Consider the following premises: Joseph is happy. If Joseph were happy, then it is overcast. Can we infer the following from them? Answer yes or no: It is not overcast.",no +3116,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Mary plays a game, then it is cloudy. Mary is playing a game. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3117,propositional,inference,modus ponens,contradiction,"Consider the following premises: Karen is a soldier. If Karen were a soldier, then it is raining. Can we infer the following from them? Answer yes or no: It is not raining.",no +3118,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Susan were a lawyer, then it is sunny. Susan is a lawyer. Can we infer the following from them? Answer yes or no: It is not sunny.",no +3119,propositional,inference,modus ponens,contradiction,"Consider the following premises: If William were a poet, then it is cloudy. William is a poet. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3120,propositional,inference,modus ponens,contradiction,"Consider the following premises: It is cold. If it is cold, then Sarah is a server. Can we infer the following from them? Answer yes or no: Sarah is not a server.",no +3121,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Sarah sleeps, then Sarah is a poet. Sarah is sleeping. Can we infer the following from them? Answer yes or no: Sarah is not a poet.",no +3122,propositional,inference,modus ponens,contradiction,"Consider the following premises: If it is windy, then it is overcast. It is windy. Can we infer the following from them? Answer yes or no: It is not overcast.",no +3123,propositional,inference,modus ponens,contradiction,"Consider the following premises: Elisabeth is playing tennis. If Elisabeth plays tennis, then it is late. Can we infer the following from them? Answer yes or no: It is not late.",no +3124,propositional,inference,modus ponens,contradiction,"Consider the following premises: John is driving a car. If John drives a car, then William is excited. Can we infer the following from them? Answer yes or no: William is not excited.",no +3125,propositional,inference,modus ponens,contradiction,"Consider the following premises: If Jennifer were fast, then it is windy. Jennifer is fast. Can we infer the following from them? Answer yes or no: It is not windy.",no +3126,propositional,inference,modus ponens,inference,"Consider the following premises: If Jennifer were happy, then James is an astronaut. Jennifer is happy. Can we infer the following from them? Answer yes or no: James is an astronaut.",yes +3127,propositional,inference,modus ponens,inference,"Consider the following premises: Sarah is taking a plane. If Sarah takes a plane, then it is cold. Can we infer the following from them? Answer yes or no: It is cold.",yes +3128,propositional,inference,modus ponens,inference,"Consider the following premises: Linda is a politician. If Linda were a politician, then Linda is an artist. Can we infer the following from them? Answer yes or no: Linda is an artist.",yes +3129,propositional,inference,modus ponens,inference,"Consider the following premises: If David were a janitor, then Michael is a bartender. David is a janitor. Can we infer the following from them? Answer yes or no: Michael is a bartender.",yes +3130,propositional,inference,modus ponens,inference,"Consider the following premises: If William were excited, then Patricia is a server. William is excited. Can we infer the following from them? Answer yes or no: Patricia is a server.",yes +3131,propositional,inference,modus ponens,inference,"Consider the following premises: It is late. If it is late, then Thomas is a doctor. Can we infer the following from them? Answer yes or no: Thomas is a doctor.",yes +3132,propositional,inference,modus ponens,inference,"Consider the following premises: If it is windy, then it is cold. It is windy. Can we infer the following from them? Answer yes or no: It is cold.",yes +3133,propositional,inference,modus ponens,inference,"Consider the following premises: It is sunny. If it is sunny, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.",yes +3134,propositional,inference,modus ponens,inference,"Consider the following premises: If William cooks, then Thomas is sad. William is cooking. Can we infer the following from them? Answer yes or no: Thomas is sad.",yes +3135,propositional,inference,modus ponens,inference,"Consider the following premises: It is late. If it is late, then Mary is writing a letter. Can we infer the following from them? Answer yes or no: Mary is writing a letter.",yes +3136,propositional,inference,modus ponens,inference,"Consider the following premises: Jessica is drinking water. If Jessica drinks water, then Sarah is a scientist. Can we infer the following from them? Answer yes or no: Sarah is a scientist.",yes +3137,propositional,inference,modus ponens,inference,"Consider the following premises: Karen is an electrician. If Karen were an electrician, then it is windy. Can we infer the following from them? Answer yes or no: It is windy.",yes +3138,propositional,inference,modus ponens,inference,"Consider the following premises: If Michael drinks water, then Susan is playing squash. Michael is drinking water. Can we infer the following from them? Answer yes or no: Susan is playing squash.",yes +3139,propositional,inference,modus ponens,inference,"Consider the following premises: Barbara is playing a game. If Barbara plays a game, then it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.",yes +3140,propositional,inference,modus ponens,inference,"Consider the following premises: If Barbara sleeps, then Thomas is a politician. Barbara is sleeping. Can we infer the following from them? Answer yes or no: Thomas is a politician.",yes +3141,propositional,inference,modus ponens,inference,"Consider the following premises: If Susan drives a car, then Patricia is reading a book. Susan is driving a car. Can we infer the following from them? Answer yes or no: Patricia is reading a book.",yes +3142,propositional,inference,modus ponens,inference,"Consider the following premises: It is snowing. If it snows, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.",yes +3143,propositional,inference,modus ponens,inference,"Consider the following premises: If it is late, then it is raining. It is late. Can we infer the following from them? Answer yes or no: It is raining.",yes +3144,propositional,inference,modus ponens,inference,"Consider the following premises: If it is cold, then Barbara is a server. It is cold. Can we infer the following from them? Answer yes or no: Barbara is a server.",yes +3145,propositional,inference,modus ponens,inference,"Consider the following premises: Jessica is excited. If Jessica were excited, then Michael is playing tennis. Can we infer the following from them? Answer yes or no: Michael is playing tennis.",yes +3146,propositional,inference,modus ponens,inference,"Consider the following premises: If Charles goes running, then Jessica is climbing a mountain. Charles is running. Can we infer the following from them? Answer yes or no: Jessica is climbing a mountain.",yes +3147,propositional,inference,modus ponens,inference,"Consider the following premises: If Richard makes tea, then it is sunny. Richard is making tea. Can we infer the following from them? Answer yes or no: It is sunny.",yes +3148,propositional,inference,modus ponens,inference,"Consider the following premises: If it is cloudy, then Joseph is listening to a song. It is cloudy. Can we infer the following from them? Answer yes or no: Joseph is listening to a song.",yes +3149,propositional,inference,modus ponens,inference,"Consider the following premises: Richard is listening to a song. If Richard listens to a song, then Jessica is drinking water. Can we infer the following from them? Answer yes or no: Jessica is drinking water.",yes +3150,propositional,inference,modus ponens,inference,"Consider the following premises: If Linda writes a letter, then it is late. Linda is writing a letter. Can we infer the following from them? Answer yes or no: It is late.",yes +3151,propositional,inference,modus ponens,unrelated,"Consider the following premises: Elisabeth is a writer. If Elisabeth were a writer, then John is an electrician. Can we infer the following from them? Answer yes or no: Barbara is not a police officer.",no +3152,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Patricia were a musician, then it is raining. Patricia is a musician. Can we infer the following from them? Answer yes or no: Mary is not a soldier.",no +3153,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is cold, then Joseph is happy. It is cold. Can we infer the following from them? Answer yes or no: Richard is driving a car.",no +3154,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then Joseph is a taxi driver. It is late. Can we infer the following from them? Answer yes or no: It is not windy.",no +3155,propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cloudy. If it is cloudy, then Sarah is drinking water. Can we infer the following from them? Answer yes or no: Linda is writing a letter.",no +3156,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is overcast, then Barbara is a carpenter. It is overcast. Can we infer the following from them? Answer yes or no: Elisabeth is rich.",no +3157,propositional,inference,modus ponens,unrelated,"Consider the following premises: It is sunny. If it is sunny, then it is late. Can we infer the following from them? Answer yes or no: It is raining.",no +3158,propositional,inference,modus ponens,unrelated,"Consider the following premises: Karen is an electrician. If Karen were an electrician, then Sarah is making tea. Can we infer the following from them? Answer yes or no: Linda is not writing a letter.",no +3159,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Mary goes running, then Michael is a taxi driver. Mary is running. Can we infer the following from them? Answer yes or no: Susan is not fast.",no +3160,propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cold. If it is cold, then it is overcast. Can we infer the following from them? Answer yes or no: David is poor.",no +3161,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is windy, then William is climbing a mountain. It is windy. Can we infer the following from them? Answer yes or no: It is raining.",no +3162,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Sarah drinks water, then Jennifer is making tea. Sarah is drinking water. Can we infer the following from them? Answer yes or no: It is not cold.",no +3163,propositional,inference,modus ponens,unrelated,"Consider the following premises: William is a lawyer. If William were a lawyer, then it is late. Can we infer the following from them? Answer yes or no: It is not cold.",no +3164,propositional,inference,modus ponens,unrelated,"Consider the following premises: Patricia is climbing a mountain. If Patricia climbs a mountain, then it is overcast. Can we infer the following from them? Answer yes or no: Richard is not curious.",no +3165,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is late, then Michael is listening to a song. It is late. Can we infer the following from them? Answer yes or no: Jennifer is a scientist.",no +3166,propositional,inference,modus ponens,unrelated,"Consider the following premises: William is reading a book. If William reads a book, then it is cloudy. Can we infer the following from them? Answer yes or no: Elisabeth is not a police officer.",no +3167,propositional,inference,modus ponens,unrelated,"Consider the following premises: If it is windy, then it is overcast. It is windy. Can we infer the following from them? Answer yes or no: Linda is not poor.",no +3168,propositional,inference,modus ponens,unrelated,"Consider the following premises: Patricia is sad. If Patricia were sad, then John is bored. Can we infer the following from them? Answer yes or no: Joseph is driving a car.",no +3169,propositional,inference,modus ponens,unrelated,"Consider the following premises: Barbara is listening to a song. If Barbara listens to a song, then Richard is playing a game. Can we infer the following from them? Answer yes or no: It is sunny.",no +3170,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Karen drives a car, then it is late. Karen is driving a car. Can we infer the following from them? Answer yes or no: Linda is not excited.",no +3171,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Patricia were a mechanic, then it is windy. Patricia is a mechanic. Can we infer the following from them? Answer yes or no: Mary is cooking.",no +3172,propositional,inference,modus ponens,unrelated,"Consider the following premises: It is cold. If it is cold, then Karen is a police officer. Can we infer the following from them? Answer yes or no: It is not windy.",no +3173,propositional,inference,modus ponens,unrelated,"Consider the following premises: Richard is happy. If Richard were happy, then Elisabeth is a lawyer. Can we infer the following from them? Answer yes or no: Barbara is not drinking water.",no +3174,propositional,inference,modus ponens,unrelated,"Consider the following premises: If Robert were rich, then David is excited. Robert is rich. Can we infer the following from them? Answer yes or no: Mary is not running.",no +3175,propositional,inference,modus ponens,unrelated,"Consider the following premises: Robert is curious. If Robert were curious, then it is overcast. Can we infer the following from them? Answer yes or no: Robert is an artist.",no +3176,propositional,inference,modus tollens,contradiction,"Consider the following premises: Patricia is sleeping. If Linda listens to a song, then Patricia is not sleeping. Can we infer the following from them? Answer yes or no: Linda is listening to a song.",no +3177,propositional,inference,modus tollens,contradiction,"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: It is cloudy.",no +3178,propositional,inference,modus tollens,contradiction,"Consider the following premises: Elisabeth is cooking. If it snows, then Elisabeth is not cooking. Can we infer the following from them? Answer yes or no: It is snowing.",no +3179,propositional,inference,modus tollens,contradiction,"Consider the following premises: Thomas is not drinking water. If Mary were a janitor, then Thomas is drinking water. Can we infer the following from them? Answer yes or no: Mary is a janitor.",no +3180,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then Barbara is not working. Barbara is working. Can we infer the following from them? Answer yes or no: It is late.",no +3181,propositional,inference,modus tollens,contradiction,"Consider the following premises: It is raining. If William were a poet, then it is not raining. Can we infer the following from them? Answer yes or no: William is a poet.",no +3182,propositional,inference,modus tollens,contradiction,"Consider the following premises: If David writes a letter, then Elisabeth is not sleeping. Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: David is writing a letter.",no +3183,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it rains, then Jennifer is not listening to a song. Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: It is raining.",no +3184,propositional,inference,modus tollens,contradiction,"Consider the following premises: William is sleeping. If it is cold, then William is not sleeping. Can we infer the following from them? Answer yes or no: It is cold.",no +3185,propositional,inference,modus tollens,contradiction,"Consider the following premises: If Jessica takes a plane, then it is not snowing. It is snowing. Can we infer the following from them? Answer yes or no: Jessica is taking a plane.",no +3186,propositional,inference,modus tollens,contradiction,"Consider the following premises: If Michael drives a car, then Robert is not sleeping. Robert is sleeping. Can we infer the following from them? Answer yes or no: Michael is driving a car.",no +3187,propositional,inference,modus tollens,contradiction,"Consider the following premises: Sarah is not drinking water. If David drives a car, then Sarah is drinking water. Can we infer the following from them? Answer yes or no: David is driving a car.",no +3188,propositional,inference,modus tollens,contradiction,"Consider the following premises: James is working. If it is late, then James is not working. Can we infer the following from them? Answer yes or no: It is late.",no +3189,propositional,inference,modus tollens,contradiction,"Consider the following premises: It is late. If Sarah were a janitor, then it is not late. Can we infer the following from them? Answer yes or no: Sarah is a janitor.",no +3190,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then it is not raining. It is raining. Can we infer the following from them? Answer yes or no: It is late.",no +3191,propositional,inference,modus tollens,contradiction,"Consider the following premises: David is not playing squash. If Barbara were an astronaut, then David is playing squash. Can we infer the following from them? Answer yes or no: Barbara is an astronaut.",no +3192,propositional,inference,modus tollens,contradiction,"Consider the following premises: It is not raining. If David takes a plane, then it is raining. Can we infer the following from them? Answer yes or no: David is taking a plane.",no +3193,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is late, then Mary is sleeping. Mary is not sleeping. Can we infer the following from them? Answer yes or no: It is late.",no +3194,propositional,inference,modus tollens,contradiction,"Consider the following premises: If Elisabeth were happy, then Michael is rich. Michael is not rich. Can we infer the following from them? Answer yes or no: Elisabeth is happy.",no +3195,propositional,inference,modus tollens,contradiction,"Consider the following premises: Susan is not a poet. If Joseph were bored, then Susan is a poet. Can we infer the following from them? Answer yes or no: Joseph is bored.",no +3196,propositional,inference,modus tollens,contradiction,"Consider the following premises: It is raining. If David were poor, then it is not raining. Can we infer the following from them? Answer yes or no: David is poor.",no +3197,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it rains, then it is not sunny. It is sunny. Can we infer the following from them? Answer yes or no: It is raining.",no +3198,propositional,inference,modus tollens,contradiction,"Consider the following premises: If it is windy, then it is overcast. It is not overcast. Can we infer the following from them? Answer yes or no: It is windy.",no +3199,propositional,inference,modus tollens,contradiction,"Consider the following premises: Michael is not sad. If Karen listens to a song, then Michael is sad. Can we infer the following from them? Answer yes or no: Karen is listening to a song.",no +3200,propositional,inference,modus tollens,contradiction,"Consider the following premises: If Patricia were bored, then John is listening to a song. John is not listening to a song. Can we infer the following from them? Answer yes or no: Patricia is bored.",no +3201,propositional,inference,modus tollens,inference,"Consider the following premises: It is not cold. If Elisabeth were a politician, then it is cold. Can we infer the following from them? Answer yes or no: Elisabeth is not a politician.",yes +3202,propositional,inference,modus tollens,inference,"Consider the following premises: Sarah is not cooking. If Karen listens to a song, then Sarah is cooking. Can we infer the following from them? Answer yes or no: Karen is not listening to a song.",yes +3203,propositional,inference,modus tollens,inference,"Consider the following premises: If Mary makes tea, then Joseph is not a doctor. Joseph is a doctor. Can we infer the following from them? Answer yes or no: Mary is not making tea.",yes +3204,propositional,inference,modus tollens,inference,"Consider the following premises: If Richard takes a plane, then it is late. It is not late. Can we infer the following from them? Answer yes or no: Richard is not taking a plane.",yes +3205,propositional,inference,modus tollens,inference,"Consider the following premises: If James were an artist, then William is making tea. William is not making tea. Can we infer the following from them? Answer yes or no: James is not an artist.",yes +3206,propositional,inference,modus tollens,inference,"Consider the following premises: It is windy. If Patricia were a writer, then it is not windy. Can we infer the following from them? Answer yes or no: Patricia is not a writer.",yes +3207,propositional,inference,modus tollens,inference,"Consider the following premises: If it rains, then Joseph is a writer. Joseph is not a writer. Can we infer the following from them? Answer yes or no: It is not raining.",yes +3208,propositional,inference,modus tollens,inference,"Consider the following premises: Mary is not a police officer. If it is late, then Mary is a police officer. Can we infer the following from them? Answer yes or no: It is not late.",yes +3209,propositional,inference,modus tollens,inference,"Consider the following premises: Thomas is not making tea. If Michael were a politician, then Thomas is making tea. Can we infer the following from them? Answer yes or no: Michael is not a politician.",yes +3210,propositional,inference,modus tollens,inference,"Consider the following premises: Linda is not driving a car. If Elisabeth writes a letter, then Linda is driving a car. Can we infer the following from them? Answer yes or no: Elisabeth is not writing a letter.",yes +3211,propositional,inference,modus tollens,inference,"Consider the following premises: If it is cloudy, then Robert is not writing a letter. Robert is writing a letter. Can we infer the following from them? Answer yes or no: It is not cloudy.",yes +3212,propositional,inference,modus tollens,inference,"Consider the following premises: If David were sad, then Joseph is a lawyer. Joseph is not a lawyer. Can we infer the following from them? Answer yes or no: David is not sad.",yes +3213,propositional,inference,modus tollens,inference,"Consider the following premises: If Mary climbs a mountain, then it is late. It is not late. Can we infer the following from them? Answer yes or no: Mary is not climbing a mountain.",yes +3214,propositional,inference,modus tollens,inference,"Consider the following premises: If Jessica plays a game, then David is poor. David is not poor. Can we infer the following from them? Answer yes or no: Jessica is not playing a game.",yes +3215,propositional,inference,modus tollens,inference,"Consider the following premises: If it is cloudy, then it is not sunny. It is sunny. Can we infer the following from them? Answer yes or no: It is not cloudy.",yes +3216,propositional,inference,modus tollens,inference,"Consider the following premises: If James were a nurse, then John is not a musician. John is a musician. Can we infer the following from them? Answer yes or no: James is not a nurse.",yes +3217,propositional,inference,modus tollens,inference,"Consider the following premises: Jessica is not climbing a mountain. If Jennifer drinks water, then Jessica is climbing a mountain. Can we infer the following from them? Answer yes or no: Jennifer is not drinking water.",yes +3218,propositional,inference,modus tollens,inference,"Consider the following premises: Barbara is not making tea. If Charles were a janitor, then Barbara is making tea. Can we infer the following from them? Answer yes or no: Charles is not a janitor.",yes +3219,propositional,inference,modus tollens,inference,"Consider the following premises: If Robert climbs a mountain, then it is sunny. It is not sunny. Can we infer the following from them? Answer yes or no: Robert is not climbing a mountain.",yes +3220,propositional,inference,modus tollens,inference,"Consider the following premises: Elisabeth is not playing a game. If it is sunny, then Elisabeth is playing a game. Can we infer the following from them? Answer yes or no: It is not sunny.",yes +3221,propositional,inference,modus tollens,inference,"Consider the following premises: If Jessica were a scientist, then John is not fast. John is fast. Can we infer the following from them? Answer yes or no: Jessica is not a scientist.",yes +3222,propositional,inference,modus tollens,inference,"Consider the following premises: If Karen were a nurse, then Linda is listening to a song. Linda is not listening to a song. Can we infer the following from them? Answer yes or no: Karen is not a nurse.",yes +3223,propositional,inference,modus tollens,inference,"Consider the following premises: If it is sunny, then Barbara is happy. Barbara is not happy. Can we infer the following from them? Answer yes or no: It is not sunny.",yes +3224,propositional,inference,modus tollens,inference,"Consider the following premises: If John were a lawyer, then it is snowing. It is not snowing. Can we infer the following from them? Answer yes or no: John is not a lawyer.",yes +3225,propositional,inference,modus tollens,inference,"Consider the following premises: Karen is a bartender. If Charles drives a car, then Karen is not a bartender. Can we infer the following from them? Answer yes or no: Charles is not driving a car.",yes +3226,propositional,inference,modus tollens,unrelated,"Consider the following premises: Michael is making tea. If it is late, then Michael is not making tea. Can we infer the following from them? Answer yes or no: Barbara is not a soldier.",no +3227,propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not late. If it is windy, then it is late. Can we infer the following from them? Answer yes or no: David is writing a letter.",no +3228,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Jessica were a bartender, then Jessica is rich. Jessica is not rich. Can we infer the following from them? Answer yes or no: Sarah is not playing a game.",no +3229,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Thomas were a taxi driver, then Michael is not a soldier. Michael is a soldier. Can we infer the following from them? Answer yes or no: It is sunny.",no +3230,propositional,inference,modus tollens,unrelated,"Consider the following premises: Jennifer is not happy. If Charles drinks water, then Jennifer is happy. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3231,propositional,inference,modus tollens,unrelated,"Consider the following premises: If it rains, then Thomas is an office clerk. Thomas is not an office clerk. Can we infer the following from them? Answer yes or no: Michael is not reading a book.",no +3232,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Mary were fast, then Robert is a musician. Robert is not a musician. Can we infer the following from them? Answer yes or no: Sarah is not playing tennis.",no +3233,propositional,inference,modus tollens,unrelated,"Consider the following premises: It is late. If Karen works, then it is not late. Can we infer the following from them? Answer yes or no: It is raining.",no +3234,propositional,inference,modus tollens,unrelated,"Consider the following premises: Jennifer is not a server. If Sarah were an electrician, then Jennifer is a server. Can we infer the following from them? Answer yes or no: Richard is not making tea.",no +3235,propositional,inference,modus tollens,unrelated,"Consider the following premises: Thomas is not playing a game. If it is cold, then Thomas is playing a game. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3236,propositional,inference,modus tollens,unrelated,"Consider the following premises: If it snows, then Thomas is an electrician. Thomas is not an electrician. Can we infer the following from them? Answer yes or no: David is not fast.",no +3237,propositional,inference,modus tollens,unrelated,"Consider the following premises: It is overcast. If David drives a car, then it is not overcast. Can we infer the following from them? Answer yes or no: Charles is a taxi driver.",no +3238,propositional,inference,modus tollens,unrelated,"Consider the following premises: Richard is not a sailor. If Patricia were happy, then Richard is a sailor. Can we infer the following from them? Answer yes or no: Richard is not a lawyer.",no +3239,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Richard goes running, then Charles is not driving a car. Charles is driving a car. Can we infer the following from them? Answer yes or no: Linda is rich.",no +3240,propositional,inference,modus tollens,unrelated,"Consider the following premises: If David cooks, then Thomas is running. Thomas is not running. Can we infer the following from them? Answer yes or no: Robert is working.",no +3241,propositional,inference,modus tollens,unrelated,"Consider the following premises: Karen is not bored. If it is late, then Karen is bored. Can we infer the following from them? Answer yes or no: Elisabeth is a poet.",no +3242,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Robert works, then David is a writer. David is not a writer. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain.",no +3243,propositional,inference,modus tollens,unrelated,"Consider the following premises: William is not listening to a song. If it rains, then William is listening to a song. Can we infer the following from them? Answer yes or no: It is not cloudy.",no +3244,propositional,inference,modus tollens,unrelated,"Consider the following premises: James is not running. If it is late, then James is running. Can we infer the following from them? Answer yes or no: Karen is a bartender.",no +3245,propositional,inference,modus tollens,unrelated,"Consider the following premises: If it is cloudy, then James is playing a game. James is not playing a game. Can we infer the following from them? Answer yes or no: It is not raining.",no +3246,propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not raining. If Barbara reads a book, then it is raining. Can we infer the following from them? Answer yes or no: Jennifer is not a politician.",no +3247,propositional,inference,modus tollens,unrelated,"Consider the following premises: If Barbara were sad, then it is raining. It is not raining. Can we infer the following from them? Answer yes or no: John is not an artist.",no +3248,propositional,inference,modus tollens,unrelated,"Consider the following premises: It is not raining. If James plays a game, then it is raining. Can we infer the following from them? Answer yes or no: Jessica is not climbing a mountain.",no +3249,propositional,inference,modus tollens,unrelated,"Consider the following premises: Elisabeth is writing a letter. If Mary plays squash, then Elisabeth is not writing a letter. Can we infer the following from them? Answer yes or no: Barbara is listening to a song.",no +3250,propositional,inference,modus tollens,unrelated,"Consider the following premises: If William were a lawyer, then Jessica is not working. Jessica is working. Can we infer the following from them? Answer yes or no: Michael is not playing squash.",no +3251,propositional,inference,resolution,contradiction,Consider the following premises: It is cloudy or Elisabeth is curious. It is not cloudy or it is overcast. Can we infer the following from them? Answer yes or no: Neither Elisabeth is curious nor it is overcast.,no +3252,propositional,inference,resolution,contradiction,Consider the following premises: Richard is running or it is overcast. Richard is not running or it is late. Can we infer the following from them? Answer yes or no: Neither it is overcast nor it is late.,no +3253,propositional,inference,resolution,contradiction,Consider the following premises: David is not a lawyer or it is overcast. David is a lawyer or David is reading a book. Can we infer the following from them? Answer yes or no: Neither David is reading a book nor it is overcast.,no +3254,propositional,inference,resolution,contradiction,Consider the following premises: It is windy or David is cooking. It is not windy or William is running. Can we infer the following from them? Answer yes or no: Neither David is cooking nor William is running.,no +3255,propositional,inference,resolution,contradiction,Consider the following premises: Robert is not a mechanic or Mary is a lawyer. Robert is a mechanic or William is a poet. Can we infer the following from them? Answer yes or no: Neither William is a poet nor Mary is a lawyer.,no +3256,propositional,inference,resolution,contradiction,Consider the following premises: Charles is a soldier or it is raining. Charles is not a soldier or it is snowing. Can we infer the following from them? Answer yes or no: Neither it is raining nor it is snowing.,no +3257,propositional,inference,resolution,contradiction,Consider the following premises: Joseph is not happy or Barbara is poor. Joseph is happy or William is drinking water. Can we infer the following from them? Answer yes or no: Neither William is drinking water nor Barbara is poor.,no +3258,propositional,inference,resolution,contradiction,Consider the following premises: Charles is driving a car or Elisabeth is a nurse. Charles is not driving a car or it is snowing. Can we infer the following from them? Answer yes or no: Neither Elisabeth is a nurse nor it is snowing.,no +3259,propositional,inference,resolution,contradiction,Consider the following premises: David is not writing a letter or it is cloudy. David is writing a letter or Jessica is an electrician. Can we infer the following from them? Answer yes or no: Neither Jessica is an electrician nor it is cloudy.,no +3260,propositional,inference,resolution,contradiction,Consider the following premises: Susan is playing tennis or Thomas is working. Susan is not playing tennis or Jennifer is cooking. Can we infer the following from them? Answer yes or no: Neither Thomas is working nor Jennifer is cooking.,no +3261,propositional,inference,resolution,contradiction,Consider the following premises: Jennifer is rich or Jennifer is making tea. Jennifer is not rich or Charles is reading a book. Can we infer the following from them? Answer yes or no: Neither Jennifer is making tea nor Charles is reading a book.,no +3262,propositional,inference,resolution,contradiction,Consider the following premises: Michael is a mechanic or Michael is bored. Michael is not a mechanic or it is snowing. Can we infer the following from them? Answer yes or no: Neither Michael is bored nor it is snowing.,no +3263,propositional,inference,resolution,contradiction,Consider the following premises: Susan is not an astronaut or Jennifer is playing squash. Susan is an astronaut or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor Jennifer is playing squash.,no +3264,propositional,inference,resolution,contradiction,Consider the following premises: It is sunny or Elisabeth is an office clerk. It is not sunny or Thomas is working. Can we infer the following from them? Answer yes or no: Neither Elisabeth is an office clerk nor Thomas is working.,no +3265,propositional,inference,resolution,contradiction,Consider the following premises: Thomas is playing tennis or Sarah is making tea. Thomas is not playing tennis or Karen is taking a plane. Can we infer the following from them? Answer yes or no: Neither Sarah is making tea nor Karen is taking a plane.,no +3266,propositional,inference,resolution,contradiction,Consider the following premises: It is overcast or it is cold. It is not overcast or it is late. Can we infer the following from them? Answer yes or no: Neither it is cold nor it is late.,no +3267,propositional,inference,resolution,contradiction,Consider the following premises: David is sleeping or it is windy. David is not sleeping or it is cloudy. Can we infer the following from them? Answer yes or no: Neither it is windy nor it is cloudy.,no +3268,propositional,inference,resolution,contradiction,Consider the following premises: David is not playing a game or James is a sailor. David is playing a game or it is late. Can we infer the following from them? Answer yes or no: Neither it is late nor James is a sailor.,no +3269,propositional,inference,resolution,contradiction,Consider the following premises: William is not a mechanic or it is overcast. William is a mechanic or Michael is writing a letter. Can we infer the following from them? Answer yes or no: Neither Michael is writing a letter nor it is overcast.,no +3270,propositional,inference,resolution,contradiction,Consider the following premises: James is happy or it is overcast. James is not happy or it is late. Can we infer the following from them? Answer yes or no: Neither it is overcast nor it is late.,no +3271,propositional,inference,resolution,contradiction,Consider the following premises: Robert is working or Patricia is making tea. Robert is not working or Joseph is drinking water. Can we infer the following from them? Answer yes or no: Neither Patricia is making tea nor Joseph is drinking water.,no +3272,propositional,inference,resolution,contradiction,Consider the following premises: Jennifer is a lawyer or Barbara is drinking water. Jennifer is not a lawyer or Charles is reading a book. Can we infer the following from them? Answer yes or no: Neither Barbara is drinking water nor Charles is reading a book.,no +3273,propositional,inference,resolution,contradiction,Consider the following premises: Robert is not playing tennis or Barbara is reading a book. Robert is playing tennis or Michael is a police officer. Can we infer the following from them? Answer yes or no: Neither Michael is a police officer nor Barbara is reading a book.,no +3274,propositional,inference,resolution,contradiction,Consider the following premises: It is not cold or William is making tea. It is cold or Patricia is curious. Can we infer the following from them? Answer yes or no: Neither Patricia is curious nor William is making tea.,no +3275,propositional,inference,resolution,contradiction,Consider the following premises: Barbara is a mechanic or John is a janitor. Barbara is not a mechanic or it is cold. Can we infer the following from them? Answer yes or no: Neither John is a janitor nor it is cold.,no +3276,propositional,inference,resolution,inference,Consider the following premises: It is not cloudy or Jessica is a politician. It is cloudy or Mary is driving a car. Can we infer the following from them? Answer yes or no: Mary is driving a car or Jessica is a politician.,yes +3277,propositional,inference,resolution,inference,Consider the following premises: Joseph is not playing a game or it is raining. Joseph is playing a game or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or it is raining.,yes +3278,propositional,inference,resolution,inference,Consider the following premises: Jessica is not climbing a mountain or William is a poet. Jessica is climbing a mountain or Karen is playing squash. Can we infer the following from them? Answer yes or no: Karen is playing squash or William is a poet.,yes +3279,propositional,inference,resolution,inference,Consider the following premises: John is not cooking or it is raining. John is cooking or John is an office clerk. Can we infer the following from them? Answer yes or no: John is an office clerk or it is raining.,yes +3280,propositional,inference,resolution,inference,Consider the following premises: It is overcast or Thomas is making tea. It is not overcast or Linda is a scientist. Can we infer the following from them? Answer yes or no: Thomas is making tea or Linda is a scientist.,yes +3281,propositional,inference,resolution,inference,Consider the following premises: It is not late or Robert is writing a letter. It is late or Richard is cooking. Can we infer the following from them? Answer yes or no: Richard is cooking or Robert is writing a letter.,yes +3282,propositional,inference,resolution,inference,Consider the following premises: Patricia is playing squash or Susan is an office clerk. Patricia is not playing squash or Jessica is sleeping. Can we infer the following from them? Answer yes or no: Susan is an office clerk or Jessica is sleeping.,yes +3283,propositional,inference,resolution,inference,Consider the following premises: Karen is not excited or Linda is playing squash. Karen is excited or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy or Linda is playing squash.,yes +3284,propositional,inference,resolution,inference,Consider the following premises: Thomas is happy or Jessica is a soldier. Thomas is not happy or Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Jessica is a soldier or Joseph is taking a plane.,yes +3285,propositional,inference,resolution,inference,Consider the following premises: Linda is fast or Susan is making tea. Linda is not fast or Charles is a musician. Can we infer the following from them? Answer yes or no: Susan is making tea or Charles is a musician.,yes +3286,propositional,inference,resolution,inference,Consider the following premises: Jennifer is working or it is cloudy. Jennifer is not working or Barbara is running. Can we infer the following from them? Answer yes or no: It is cloudy or Barbara is running.,yes +3287,propositional,inference,resolution,inference,Consider the following premises: Robert is not a mechanic or Linda is making tea. Robert is a mechanic or it is windy. Can we infer the following from them? Answer yes or no: It is windy or Linda is making tea.,yes +3288,propositional,inference,resolution,inference,Consider the following premises: It is snowing or it is cloudy. It is not snowing or it is late. Can we infer the following from them? Answer yes or no: It is cloudy or it is late.,yes +3289,propositional,inference,resolution,inference,Consider the following premises: David is not an artist or Patricia is cooking. David is an artist or Thomas is a poet. Can we infer the following from them? Answer yes or no: Thomas is a poet or Patricia is cooking.,yes +3290,propositional,inference,resolution,inference,Consider the following premises: It is late or Elisabeth is a server. It is not late or it is overcast. Can we infer the following from them? Answer yes or no: Elisabeth is a server or it is overcast.,yes +3291,propositional,inference,resolution,inference,Consider the following premises: Mary is playing a game or Mary is running. Mary is not playing a game or Charles is a soldier. Can we infer the following from them? Answer yes or no: Mary is running or Charles is a soldier.,yes +3292,propositional,inference,resolution,inference,Consider the following premises: It is raining or it is cold. It is not raining or Mary is an artist. Can we infer the following from them? Answer yes or no: It is cold or Mary is an artist.,yes +3293,propositional,inference,resolution,inference,Consider the following premises: Charles is sad or Joseph is excited. Charles is not sad or it is sunny. Can we infer the following from them? Answer yes or no: Joseph is excited or it is sunny.,yes +3294,propositional,inference,resolution,inference,Consider the following premises: James is a taxi driver or it is windy. James is not a taxi driver or Barbara is an artist. Can we infer the following from them? Answer yes or no: It is windy or Barbara is an artist.,yes +3295,propositional,inference,resolution,inference,Consider the following premises: Sarah is not playing a game or Barbara is a carpenter. Sarah is playing a game or Sarah is playing squash. Can we infer the following from them? Answer yes or no: Sarah is playing squash or Barbara is a carpenter.,yes +3296,propositional,inference,resolution,inference,Consider the following premises: Charles is taking a plane or Charles is excited. Charles is not taking a plane or Richard is a mechanic. Can we infer the following from them? Answer yes or no: Charles is excited or Richard is a mechanic.,yes +3297,propositional,inference,resolution,inference,Consider the following premises: Linda is not rich or it is windy. Linda is rich or it is raining. Can we infer the following from them? Answer yes or no: It is raining or it is windy.,yes +3298,propositional,inference,resolution,inference,Consider the following premises: Jessica is not cooking or James is working. Jessica is cooking or James is a writer. Can we infer the following from them? Answer yes or no: James is a writer or James is working.,yes +3299,propositional,inference,resolution,inference,Consider the following premises: It is not snowing or David is a soldier. It is snowing or Barbara is sad. Can we infer the following from them? Answer yes or no: Barbara is sad or David is a soldier.,yes +3300,propositional,inference,resolution,inference,Consider the following premises: Mary is not an electrician or Jennifer is reading a book. Mary is an electrician or Joseph is an office clerk. Can we infer the following from them? Answer yes or no: Joseph is an office clerk or Jennifer is reading a book.,yes +3301,propositional,inference,resolution,unrelated,Consider the following premises: Linda is not drinking water or Barbara is rich. Linda is drinking water or it is late. Can we infer the following from them? Answer yes or no: It is late.,no +3302,propositional,inference,resolution,unrelated,Consider the following premises: Jessica is not a server or it is late. Jessica is a server or it is windy. Can we infer the following from them? Answer yes or no: It is late.,no +3303,propositional,inference,resolution,unrelated,Consider the following premises: Charles is happy or it is snowing. Charles is not happy or Karen is a scientist. Can we infer the following from them? Answer yes or no: Karen is a scientist.,no +3304,propositional,inference,resolution,unrelated,Consider the following premises: Karen is not running or Robert is an artist. Karen is running or James is listening to a song. Can we infer the following from them? Answer yes or no: Robert is an artist.,no +3305,propositional,inference,resolution,unrelated,Consider the following premises: It is windy or Susan is fast. It is not windy or it is snowing. Can we infer the following from them? Answer yes or no: It is snowing.,no +3306,propositional,inference,resolution,unrelated,Consider the following premises: David is not a sailor or it is sunny. David is a sailor or David is a nurse. Can we infer the following from them? Answer yes or no: It is sunny.,no +3307,propositional,inference,resolution,unrelated,Consider the following premises: Jessica is not cooking or Elisabeth is a lawyer. Jessica is cooking or Joseph is listening to a song. Can we infer the following from them? Answer yes or no: Elisabeth is a lawyer.,no +3308,propositional,inference,resolution,unrelated,Consider the following premises: William is not climbing a mountain or William is playing squash. William is climbing a mountain or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no +3309,propositional,inference,resolution,unrelated,Consider the following premises: Susan is climbing a mountain or it is late. Susan is not climbing a mountain or it is overcast. Can we infer the following from them? Answer yes or no: It is late.,no +3310,propositional,inference,resolution,unrelated,Consider the following premises: John is listening to a song or Charles is a carpenter. John is not listening to a song or Charles is happy. Can we infer the following from them? Answer yes or no: Charles is a carpenter.,no +3311,propositional,inference,resolution,unrelated,Consider the following premises: John is not drinking water or William is an office clerk. John is drinking water or John is a politician. Can we infer the following from them? Answer yes or no: William is an office clerk.,no +3312,propositional,inference,resolution,unrelated,Consider the following premises: It is not cloudy or William is curious. It is cloudy or Karen is playing tennis. Can we infer the following from them? Answer yes or no: William is curious.,no +3313,propositional,inference,resolution,unrelated,Consider the following premises: Michael is not running or Jennifer is sleeping. Michael is running or Jennifer is listening to a song. Can we infer the following from them? Answer yes or no: Jennifer is sleeping.,no +3314,propositional,inference,resolution,unrelated,Consider the following premises: Linda is writing a letter or Jessica is a soldier. Linda is not writing a letter or Susan is drinking water. Can we infer the following from them? Answer yes or no: Susan is drinking water.,no +3315,propositional,inference,resolution,unrelated,Consider the following premises: Mary is playing squash or Robert is a musician. Mary is not playing squash or William is drinking water. Can we infer the following from them? Answer yes or no: William is drinking water.,no +3316,propositional,inference,resolution,unrelated,Consider the following premises: It is not raining or Sarah is a mechanic. It is raining or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no +3317,propositional,inference,resolution,unrelated,Consider the following premises: Mary is not reading a book or William is a bartender. Mary is reading a book or it is windy. Can we infer the following from them? Answer yes or no: It is windy.,no +3318,propositional,inference,resolution,unrelated,Consider the following premises: Barbara is not writing a letter or Sarah is playing squash. Barbara is writing a letter or Joseph is a bartender. Can we infer the following from them? Answer yes or no: Sarah is playing squash.,no +3319,propositional,inference,resolution,unrelated,Consider the following premises: Robert is a poet or Richard is a soldier. Robert is not a poet or Robert is poor. Can we infer the following from them? Answer yes or no: Richard is a soldier.,no +3320,propositional,inference,resolution,unrelated,Consider the following premises: Elisabeth is a scientist or it is overcast. Elisabeth is not a scientist or Robert is happy. Can we infer the following from them? Answer yes or no: It is overcast.,no +3321,propositional,inference,resolution,unrelated,Consider the following premises: Patricia is not playing tennis or it is windy. Patricia is playing tennis or it is late. Can we infer the following from them? Answer yes or no: It is windy.,no +3322,propositional,inference,resolution,unrelated,Consider the following premises: It is raining or Barbara is rich. It is not raining or Jennifer is bored. Can we infer the following from them? Answer yes or no: Jennifer is bored.,no +3323,propositional,inference,resolution,unrelated,Consider the following premises: Jessica is not making tea or Michael is a janitor. Jessica is making tea or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,no +3324,propositional,inference,resolution,unrelated,Consider the following premises: It is cold or Richard is sad. It is not cold or it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.,no +3325,propositional,inference,resolution,unrelated,Consider the following premises: Patricia is excited or David is happy. Patricia is not excited or it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,no +3326,propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no +3327,propositional,inference,simplification,contradiction,Consider the following premises: Susan is a writer and it is cold. Can we infer the following from them? Answer yes or no: It is not cold.,no +3328,propositional,inference,simplification,contradiction,Consider the following premises: Richard is working and it is snowing. Can we infer the following from them? Answer yes or no: Richard is not working.,no +3329,propositional,inference,simplification,contradiction,Consider the following premises: Charles is sleeping and David is an office clerk. Can we infer the following from them? Answer yes or no: David is not an office clerk.,no +3330,propositional,inference,simplification,contradiction,Consider the following premises: James is reading a book and Richard is running. Can we infer the following from them? Answer yes or no: Richard is not running.,no +3331,propositional,inference,simplification,contradiction,Consider the following premises: Elisabeth is a musician and John is sad. Can we infer the following from them? Answer yes or no: Elisabeth is not a musician.,no +3332,propositional,inference,simplification,contradiction,Consider the following premises: Joseph is a taxi driver and it is overcast. Can we infer the following from them? Answer yes or no: Joseph is not a taxi driver.,no +3333,propositional,inference,simplification,contradiction,Consider the following premises: Patricia is driving a car and it is cloudy. Can we infer the following from them? Answer yes or no: Patricia is not driving a car.,no +3334,propositional,inference,simplification,contradiction,Consider the following premises: It is sunny and 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 +3335,propositional,inference,simplification,contradiction,Consider the following premises: John is a poet and James is bored. Can we infer the following from them? Answer yes or no: John is not a poet.,no +3336,propositional,inference,simplification,contradiction,Consider the following premises: Robert is writing a letter and William is sad. Can we infer the following from them? Answer yes or no: William is not sad.,no +3337,propositional,inference,simplification,contradiction,Consider the following premises: It is overcast and Thomas is playing a game. Can we infer the following from them? Answer yes or no: It is not overcast.,no +3338,propositional,inference,simplification,contradiction,Consider the following premises: James is running and it is raining. Can we infer the following from them? Answer yes or no: It is not raining.,no +3339,propositional,inference,simplification,contradiction,Consider the following premises: It is snowing and it is late. Can we infer the following from them? Answer yes or no: It is not late.,no +3340,propositional,inference,simplification,contradiction,Consider the following premises: Joseph is excited and it is sunny. Can we infer the following from them? Answer yes or no: Joseph is not excited.,no +3341,propositional,inference,simplification,contradiction,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 late.,no +3342,propositional,inference,simplification,contradiction,Consider the following premises: It is raining and Mary is excited. Can we infer the following from them? Answer yes or no: Mary is not excited.,no +3343,propositional,inference,simplification,contradiction,Consider the following premises: Jessica is a police officer and it is windy. Can we infer the following from them? Answer yes or no: Jessica is not a police officer.,no +3344,propositional,inference,simplification,contradiction,Consider the following premises: David is driving a car and Richard is sleeping. Can we infer the following from them? Answer yes or no: David is not driving a car.,no +3345,propositional,inference,simplification,contradiction,Consider the following premises: It is cold and Jennifer is happy. Can we infer the following from them? Answer yes or no: It is not cold.,no +3346,propositional,inference,simplification,contradiction,Consider the following premises: David is working and Sarah is playing a game. Can we infer the following from them? Answer yes or no: David is not working.,no +3347,propositional,inference,simplification,contradiction,Consider the following premises: It is raining and Elisabeth is sleeping. Can we infer the following from them? Answer yes or no: Elisabeth is not sleeping.,no +3348,propositional,inference,simplification,contradiction,Consider the following premises: Barbara is a politician and it is cold. Can we infer the following from them? Answer yes or no: Barbara is not a politician.,no +3349,propositional,inference,simplification,contradiction,Consider the following premises: Thomas is excited and William is an artist. Can we infer the following from them? Answer yes or no: William is not an artist.,no +3350,propositional,inference,simplification,contradiction,Consider the following premises: It is late and David is writing a letter. Can we infer the following from them? Answer yes or no: David is not writing a letter.,no +3351,propositional,inference,simplification,inference,Consider the following premises: William is making tea and Robert is drinking water. Can we infer the following from them? Answer yes or no: Robert is drinking water.,yes +3352,propositional,inference,simplification,inference,Consider the following premises: Richard is taking a plane and Thomas is a sailor. Can we infer the following from them? Answer yes or no: Richard is taking a plane.,yes +3353,propositional,inference,simplification,inference,Consider the following premises: Susan is an office clerk and Charles is a poet. Can we infer the following from them? Answer yes or no: Charles is a poet.,yes +3354,propositional,inference,simplification,inference,Consider the following premises: It is cloudy and Sarah is a carpenter. Can we infer the following from them? Answer yes or no: Sarah is a carpenter.,yes +3355,propositional,inference,simplification,inference,Consider the following premises: Mary is drinking water and Karen is taking a plane. Can we infer the following from them? Answer yes or no: Karen is taking a plane.,yes +3356,propositional,inference,simplification,inference,Consider the following premises: Thomas is cooking and it is sunny. Can we infer the following from them? Answer yes or no: It is sunny.,yes +3357,propositional,inference,simplification,inference,Consider the following premises: Elisabeth is reading a book and Joseph is taking a plane. Can we infer the following from them? Answer yes or no: Joseph is taking a plane.,yes +3358,propositional,inference,simplification,inference,Consider the following premises: It is sunny and Richard is driving a car. Can we infer the following from them? Answer yes or no: It is sunny.,yes +3359,propositional,inference,simplification,inference,Consider the following premises: William is writing a letter and it is late. Can we infer the following from them? Answer yes or no: William is writing a letter.,yes +3360,propositional,inference,simplification,inference,Consider the following premises: It is late and it is sunny. Can we infer the following from them? Answer yes or no: It is late.,yes +3361,propositional,inference,simplification,inference,Consider the following premises: Charles is climbing a mountain and it is snowing. Can we infer the following from them? Answer yes or no: Charles is climbing a mountain.,yes +3362,propositional,inference,simplification,inference,Consider the following premises: It is sunny and James is playing squash. Can we infer the following from them? Answer yes or no: It is sunny.,yes +3363,propositional,inference,simplification,inference,Consider the following premises: It is overcast and Mary is reading a book. Can we infer the following from them? Answer yes or no: It is overcast.,yes +3364,propositional,inference,simplification,inference,Consider the following premises: It is late and Richard is writing a letter. Can we infer the following from them? Answer yes or no: Richard is writing a letter.,yes +3365,propositional,inference,simplification,inference,Consider the following premises: It is cloudy and it is windy. Can we infer the following from them? Answer yes or no: It is cloudy.,yes +3366,propositional,inference,simplification,inference,Consider the following premises: Elisabeth is curious and Joseph is cooking. Can we infer the following from them? Answer yes or no: Joseph is cooking.,yes +3367,propositional,inference,simplification,inference,Consider the following premises: Elisabeth is sleeping and Joseph is sad. Can we infer the following from them? Answer yes or no: Joseph is sad.,yes +3368,propositional,inference,simplification,inference,Consider the following premises: Patricia is working and David is playing a game. Can we infer the following from them? Answer yes or no: Patricia is working.,yes +3369,propositional,inference,simplification,inference,Consider the following premises: It is snowing and Patricia is a server. Can we infer the following from them? Answer yes or no: It is snowing.,yes +3370,propositional,inference,simplification,inference,Consider the following premises: Elisabeth is playing squash and it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes +3371,propositional,inference,simplification,inference,Consider the following premises: Susan is playing tennis and Mary is a lawyer. Can we infer the following from them? Answer yes or no: Mary is a lawyer.,yes +3372,propositional,inference,simplification,inference,Consider the following premises: Linda is drinking water and it is raining. Can we infer the following from them? Answer yes or no: It is raining.,yes +3373,propositional,inference,simplification,inference,Consider the following premises: Joseph is playing tennis and it is overcast. Can we infer the following from them? Answer yes or no: Joseph is playing tennis.,yes +3374,propositional,inference,simplification,inference,Consider the following premises: William is happy and it is sunny. Can we infer the following from them? Answer yes or no: William is happy.,yes +3375,propositional,inference,simplification,inference,Consider the following premises: It is windy and Sarah is a taxi driver. Can we infer the following from them? Answer yes or no: It is windy.,yes +3376,propositional,inference,simplification,unrelated,Consider the following premises: It is late and Mary is playing a game. Can we infer the following from them? Answer yes or no: Richard is a mechanic.,no +3377,propositional,inference,simplification,unrelated,Consider the following premises: Joseph is a musician and Jennifer is an astronaut. Can we infer the following from them? Answer yes or no: It is not raining.,no +3378,propositional,inference,simplification,unrelated,Consider the following premises: William is a janitor and it is cold. Can we infer the following from them? Answer yes or no: It is sunny.,no +3379,propositional,inference,simplification,unrelated,Consider the following premises: Jennifer is playing a game and Charles is a server. Can we infer the following from them? Answer yes or no: Thomas is not climbing a mountain.,no +3380,propositional,inference,simplification,unrelated,Consider the following premises: It is raining and it is late. Can we infer the following from them? Answer yes or no: It is cold.,no +3381,propositional,inference,simplification,unrelated,Consider the following premises: William is a poet and Sarah is playing tennis. Can we infer the following from them? Answer yes or no: It is overcast.,no +3382,propositional,inference,simplification,unrelated,Consider the following premises: It is sunny and Mary is reading a book. Can we infer the following from them? Answer yes or no: Sarah is not drinking water.,no +3383,propositional,inference,simplification,unrelated,Consider the following premises: Michael is fast and Mary is curious. Can we infer the following from them? Answer yes or no: John is playing squash.,no +3384,propositional,inference,simplification,unrelated,Consider the following premises: John is drinking water and it is late. Can we infer the following from them? Answer yes or no: Michael is sleeping.,no +3385,propositional,inference,simplification,unrelated,Consider the following premises: Linda is a poet and Charles is making tea. Can we infer the following from them? Answer yes or no: David is not an artist.,no +3386,propositional,inference,simplification,unrelated,Consider the following premises: Jessica is sleeping and it is windy. Can we infer the following from them? Answer yes or no: Sarah is not a cashier.,no +3387,propositional,inference,simplification,unrelated,Consider the following premises: Mary is driving a car and Karen is writing a letter. Can we infer the following from them? Answer yes or no: Richard is cooking.,no +3388,propositional,inference,simplification,unrelated,Consider the following premises: It is sunny and Richard is a nurse. Can we infer the following from them? Answer yes or no: Elisabeth is writing a letter.,no +3389,propositional,inference,simplification,unrelated,Consider the following premises: It is sunny and William is an astronaut. Can we infer the following from them? Answer yes or no: Charles is not driving a car.,no +3390,propositional,inference,simplification,unrelated,Consider the following premises: Thomas is climbing a mountain and Jessica is cooking. Can we infer the following from them? Answer yes or no: It is windy.,no +3391,propositional,inference,simplification,unrelated,Consider the following premises: Elisabeth is a doctor and it is overcast. Can we infer the following from them? Answer yes or no: Linda is working.,no +3392,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: It is snowing.,no +3393,propositional,inference,simplification,unrelated,Consider the following premises: Thomas is a writer and Jennifer is playing a game. Can we infer the following from them? Answer yes or no: Karen is not fast.,no +3394,propositional,inference,simplification,unrelated,Consider the following premises: Mary is a soldier and Jennifer is a sailor. Can we infer the following from them? Answer yes or no: It is raining.,no +3395,propositional,inference,simplification,unrelated,Consider the following premises: It is sunny and William is running. Can we infer the following from them? Answer yes or no: Elisabeth is a server.,no +3396,propositional,inference,simplification,unrelated,Consider the following premises: It is raining and it is cold. Can we infer the following from them? Answer yes or no: William is not sleeping.,no +3397,propositional,inference,simplification,unrelated,Consider the following premises: It is windy and Robert is rich. Can we infer the following from them? Answer yes or no: Linda is not playing squash.,no +3398,propositional,inference,simplification,unrelated,Consider the following premises: Sarah is writing a letter and it is cloudy. Can we infer the following from them? Answer yes or no: Michael is not climbing a mountain.,no +3399,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: It is overcast.,no +3400,propositional,inference,simplification,unrelated,Consider the following premises: It is cold and Charles is fast. Can we infer the following from them? Answer yes or no: John is not driving a car.,no +3401,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is sunny, then Sarah is an office clerk. If Sarah were an office clerk, then Joseph is sad. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that Joseph is sad.",no +3402,propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles plays tennis, then Barbara is a cashier. If Joseph were rich, then Charles is playing tennis. Can we infer the following from them? Answer yes or no: The fact that Joseph were rich does not imply that Barbara is a cashier.",no +3403,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cloudy, then Karen is an astronaut. If Karen were an astronaut, then Linda is fast. Can we infer the following from them? Answer yes or no: The fact that it is cloudy does not imply that Linda is fast.",no +3404,propositional,inference,transitivity,contradiction,"Consider the following premises: If Joseph were rich, then it is sunny. If it is sunny, then Jennifer is a nurse. Can we infer the following from them? Answer yes or no: The fact that Joseph were rich does not imply that Jennifer is a nurse.",no +3405,propositional,inference,transitivity,contradiction,"Consider the following premises: If Jessica were a nurse, then Linda is playing tennis. If Linda plays tennis, then Susan is bored. Can we infer the following from them? Answer yes or no: The fact that Jessica were a nurse does not imply that Susan is bored.",no +3406,propositional,inference,transitivity,contradiction,"Consider the following premises: If Jennifer makes tea, then Linda is a cashier. If John goes running, then Jennifer is making tea. Can we infer the following from them? Answer yes or no: The fact that John goes running does not imply that Linda is a cashier.",no +3407,propositional,inference,transitivity,contradiction,"Consider the following premises: If Richard were happy, then Joseph is making tea. If Joseph were a cashier, then Richard is happy. Can we infer the following from them? Answer yes or no: The fact that Joseph were a cashier does not imply that Joseph is making tea.",no +3408,propositional,inference,transitivity,contradiction,"Consider the following premises: If Karen works, then Sarah is listening to a song. If Patricia were curious, then Karen is working. Can we infer the following from them? Answer yes or no: The fact that Patricia were curious does not imply that Sarah is listening to a song.",no +3409,propositional,inference,transitivity,contradiction,"Consider the following premises: If Barbara were sad, then David is rich. If David were rich, then Charles is poor. Can we infer the following from them? Answer yes or no: The fact that Barbara were sad does not imply that Charles is poor.",no +3410,propositional,inference,transitivity,contradiction,"Consider the following premises: If Robert plays squash, then it is snowing. If Susan plays tennis, then Robert is playing squash. Can we infer the following from them? Answer yes or no: The fact that Susan plays tennis does not imply that it is snowing.",no +3411,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then Joseph is cooking. If it rains, then it is cold. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that Joseph is cooking.",no +3412,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is sunny, then David is a bartender. If David were a cashier, then it is sunny. Can we infer the following from them? Answer yes or no: The fact that David were a cashier does not imply that David is a bartender.",no +3413,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cloudy, then Charles is drinking water. If William were a taxi driver, then it is cloudy. Can we infer the following from them? Answer yes or no: The fact that William were a taxi driver does not imply that Charles is drinking water.",no +3414,propositional,inference,transitivity,contradiction,"Consider the following premises: If Charles were an astronaut, then Linda is a mechanic. If it snows, then Charles is an astronaut. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that Linda is a mechanic.",no +3415,propositional,inference,transitivity,contradiction,"Consider the following premises: If Elisabeth were excited, then Joseph is curious. If Joseph were curious, then it is overcast. Can we infer the following from them? Answer yes or no: The fact that Elisabeth were excited does not imply that it is overcast.",no +3416,propositional,inference,transitivity,contradiction,"Consider the following premises: If Jessica were a musician, then it is raining. If it rains, then Joseph is curious. Can we infer the following from them? Answer yes or no: The fact that Jessica were a musician does not imply that Joseph is curious.",no +3417,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is overcast, then David is poor. If it is sunny, then it is overcast. Can we infer the following from them? Answer yes or no: The fact that it is sunny does not imply that David is poor.",no +3418,propositional,inference,transitivity,contradiction,"Consider the following premises: If James cooks, then Richard is driving a car. If it is windy, then James is cooking. Can we infer the following from them? Answer yes or no: The fact that it is windy does not imply that Richard is driving a car.",no +3419,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is late, then Charles is running. If Charles goes running, then it is cold. Can we infer the following from them? Answer yes or no: The fact that it is late does not imply that it is cold.",no +3420,propositional,inference,transitivity,contradiction,"Consider the following premises: If Michael were excited, then James is a nurse. If James were a nurse, then David is sad. Can we infer the following from them? Answer yes or no: The fact that Michael were excited does not imply that David is sad.",no +3421,propositional,inference,transitivity,contradiction,"Consider the following premises: If it rains, then Joseph is reading a book. If Joseph reads a book, then Charles is a writer. Can we infer the following from them? Answer yes or no: The fact that it rains does not imply that Charles is a writer.",no +3422,propositional,inference,transitivity,contradiction,"Consider the following premises: If Richard were rich, then it is late. If it snows, then Richard is rich. Can we infer the following from them? Answer yes or no: The fact that it snows does not imply that it is late.",no +3423,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then Charles is fast. If Charles were fast, then Barbara is sad. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that Barbara is sad.",no +3424,propositional,inference,transitivity,contradiction,"Consider the following premises: If it is cold, then William is a cashier. If William were a cashier, then it is snowing. Can we infer the following from them? Answer yes or no: The fact that it is cold does not imply that it is snowing.",no +3425,propositional,inference,transitivity,contradiction,"Consider the following premises: If Karen drinks water, then Mary is climbing a mountain. If Mary climbs a mountain, then it is sunny. Can we infer the following from them? Answer yes or no: The fact that Karen drinks water does not imply that it is sunny.",no +3426,propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then Thomas is climbing a mountain. If Charles were happy, then it is snowing. Can we infer the following from them? Answer yes or no: If Charles were happy, then Thomas is climbing a mountain.",yes +3427,propositional,inference,transitivity,inference,"Consider the following premises: If Sarah were a politician, then Susan is a mechanic. If Susan were a mechanic, then it is late. Can we infer the following from them? Answer yes or no: If Sarah were a politician, then it is late.",yes +3428,propositional,inference,transitivity,inference,"Consider the following premises: If Susan were a musician, then Elisabeth is taking a plane. If Elisabeth takes a plane, then it is sunny. Can we infer the following from them? Answer yes or no: If Susan were a musician, then it is sunny.",yes +3429,propositional,inference,transitivity,inference,"Consider the following premises: If Elisabeth were a nurse, then Richard is working. If Linda makes tea, then Elisabeth is a nurse. Can we infer the following from them? Answer yes or no: If Linda makes tea, then Richard is working.",yes +3430,propositional,inference,transitivity,inference,"Consider the following premises: If William were a writer, then Patricia is curious. If Patricia were curious, then Jessica is making tea. Can we infer the following from them? Answer yes or no: If William were a writer, then Jessica is making tea.",yes +3431,propositional,inference,transitivity,inference,"Consider the following premises: If it is windy, then Robert is playing tennis. If Robert plays tennis, then Karen is drinking water. Can we infer the following from them? Answer yes or no: If it is windy, then Karen is drinking water.",yes +3432,propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then it is late. If Barbara were curious, then it is snowing. Can we infer the following from them? Answer yes or no: If Barbara were curious, then it is late.",yes +3433,propositional,inference,transitivity,inference,"Consider the following premises: If Susan were a writer, then Susan is an office clerk. If Thomas works, then Susan is a writer. Can we infer the following from them? Answer yes or no: If Thomas works, then Susan is an office clerk.",yes +3434,propositional,inference,transitivity,inference,"Consider the following premises: If Thomas were a sailor, then William is making tea. If William makes tea, then it is cloudy. Can we infer the following from them? Answer yes or no: If Thomas were a sailor, then it is cloudy.",yes +3435,propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then it is windy. If it is windy, then James is sleeping. Can we infer the following from them? Answer yes or no: If it snows, then James is sleeping.",yes +3436,propositional,inference,transitivity,inference,"Consider the following premises: If it is sunny, then Patricia is an office clerk. If Thomas sleeps, then it is sunny. Can we infer the following from them? Answer yes or no: If Thomas sleeps, then Patricia is an office clerk.",yes +3437,propositional,inference,transitivity,inference,"Consider the following premises: If Thomas were happy, then William is an astronaut. If William were an astronaut, then Thomas is driving a car. Can we infer the following from them? Answer yes or no: If Thomas were happy, then Thomas is driving a car.",yes +3438,propositional,inference,transitivity,inference,"Consider the following premises: If it is cloudy, then John is a writer. If John were a writer, then it is raining. Can we infer the following from them? Answer yes or no: If it is cloudy, then it is raining.",yes +3439,propositional,inference,transitivity,inference,"Consider the following premises: If Mary were a politician, then Jennifer is a bartender. If Jennifer were a bartender, then it is cold. Can we infer the following from them? Answer yes or no: If Mary were a politician, then it is cold.",yes +3440,propositional,inference,transitivity,inference,"Consider the following premises: If it is late, then it is cold. If James drinks water, then it is late. Can we infer the following from them? Answer yes or no: If James drinks water, then it is cold.",yes +3441,propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then Karen is a taxi driver. If David were a writer, then it is snowing. Can we infer the following from them? Answer yes or no: If David were a writer, then Karen is a taxi driver.",yes +3442,propositional,inference,transitivity,inference,"Consider the following premises: If Elisabeth were bored, then Charles is sleeping. If Charles sleeps, then James is a taxi driver. Can we infer the following from them? Answer yes or no: If Elisabeth were bored, then James is a taxi driver.",yes +3443,propositional,inference,transitivity,inference,"Consider the following premises: If Michael listens to a song, then Jessica is a soldier. If Jessica were a soldier, then David is taking a plane. Can we infer the following from them? Answer yes or no: If Michael listens to a song, then David is taking a plane.",yes +3444,propositional,inference,transitivity,inference,"Consider the following premises: If it is late, then William is a server. If William were a server, then Joseph is sad. Can we infer the following from them? Answer yes or no: If it is late, then Joseph is sad.",yes +3445,propositional,inference,transitivity,inference,"Consider the following premises: If it snows, then Patricia is taking a plane. If Jennifer were bored, then it is snowing. Can we infer the following from them? Answer yes or no: If Jennifer were bored, then Patricia is taking a plane.",yes +3446,propositional,inference,transitivity,inference,"Consider the following premises: If it is late, then James is fast. If John were a nurse, then it is late. Can we infer the following from them? Answer yes or no: If John were a nurse, then James is fast.",yes +3447,propositional,inference,transitivity,inference,"Consider the following premises: If Charles works, then Sarah is making tea. If Sarah makes tea, then it is cold. Can we infer the following from them? Answer yes or no: If Charles works, then it is cold.",yes +3448,propositional,inference,transitivity,inference,"Consider the following premises: If Michael were a lawyer, then Linda is running. If Linda goes running, then Jessica is cooking. Can we infer the following from them? Answer yes or no: If Michael were a lawyer, then Jessica is cooking.",yes +3449,propositional,inference,transitivity,inference,"Consider the following premises: If Karen were fast, then it is windy. If it is windy, then it is cold. Can we infer the following from them? Answer yes or no: If Karen were fast, then it is cold.",yes +3450,propositional,inference,transitivity,inference,"Consider the following premises: If Patricia takes a plane, then David is writing a letter. If David writes a letter, then it is overcast. Can we infer the following from them? Answer yes or no: If Patricia takes a plane, then it is overcast.",yes +3451,propositional,inference,transitivity,unrelated,"Consider the following premises: If Susan cooks, then Thomas is a bartender. If it is overcast, then Susan is cooking. Can we infer the following from them? Answer yes or no: Susan is cooking.",no +3452,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cloudy, then it is snowing. If it snows, then it is late. Can we infer the following from them? Answer yes or no: It is snowing.",no +3453,propositional,inference,transitivity,unrelated,"Consider the following premises: If it rains, then it is overcast. If it is overcast, then Elisabeth is an office clerk. Can we infer the following from them? Answer yes or no: Elisabeth is an office clerk.",no +3454,propositional,inference,transitivity,unrelated,"Consider the following premises: If Charles plays squash, then Jessica is reading a book. If Jessica reads a book, 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 +3455,propositional,inference,transitivity,unrelated,"Consider the following premises: If Susan were poor, then Jennifer is a poet. If Jennifer were a poet, then Barbara is a server. Can we infer the following from them? Answer yes or no: Jennifer is a poet.",no +3456,propositional,inference,transitivity,unrelated,"Consider the following premises: If Linda plays squash, then it is cold. If it is overcast, then Linda is playing squash. Can we infer the following from them? Answer yes or no: Linda is playing squash.",no +3457,propositional,inference,transitivity,unrelated,"Consider the following premises: If Jessica works, then John is taking a plane. If it is cloudy, then Jessica is working. Can we infer the following from them? Answer yes or no: It is cloudy.",no +3458,propositional,inference,transitivity,unrelated,"Consider the following premises: If Charles were rich, then Joseph is working. If Joseph works, then Linda is a scientist. Can we infer the following from them? Answer yes or no: Linda is a scientist.",no +3459,propositional,inference,transitivity,unrelated,"Consider the following premises: If Susan sleeps, then David is bored. If David were bored, then Jennifer is running. Can we infer the following from them? Answer yes or no: Jennifer is running.",no +3460,propositional,inference,transitivity,unrelated,"Consider the following premises: If Linda were excited, then Jennifer is a mechanic. If Jennifer were a mechanic, then Sarah is cooking. Can we infer the following from them? Answer yes or no: Jennifer is a mechanic.",no +3461,propositional,inference,transitivity,unrelated,"Consider the following premises: If Mary were a writer, then David is fast. If Susan were a taxi driver, then Mary is a writer. Can we infer the following from them? Answer yes or no: Mary is a writer.",no +3462,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is overcast, then it is cold. If it is cloudy, then it is overcast. Can we infer the following from them? Answer yes or no: It is overcast.",no +3463,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cloudy, then Michael is climbing a mountain. If Sarah goes running, then it is cloudy. Can we infer the following from them? Answer yes or no: Sarah is running.",no +3464,propositional,inference,transitivity,unrelated,"Consider the following premises: If James takes a plane, then it is snowing. If it is overcast, then James is taking a plane. Can we infer the following from them? Answer yes or no: It is snowing.",no +3465,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is late, then Jessica is playing a game. If Jessica plays a game, then it is raining. Can we infer the following from them? Answer yes or no: Jessica is playing a game.",no +3466,propositional,inference,transitivity,unrelated,"Consider the following premises: If Linda makes tea, then Susan is listening to a song. If Susan listens to a song, then it is overcast. Can we infer the following from them? Answer yes or no: Linda is making tea.",no +3467,propositional,inference,transitivity,unrelated,"Consider the following premises: If Michael were a lawyer, then it is snowing. If Charles were a soldier, then Michael is a lawyer. Can we infer the following from them? Answer yes or no: Charles is a soldier.",no +3468,propositional,inference,transitivity,unrelated,"Consider the following premises: If Thomas climbs a mountain, then it is cloudy. If it is windy, then Thomas is climbing a mountain. Can we infer the following from them? Answer yes or no: It is windy.",no +3469,propositional,inference,transitivity,unrelated,"Consider the following premises: If Michael writes a letter, then Sarah is a soldier. If it is cloudy, then Michael is writing a letter. Can we infer the following from them? Answer yes or no: Sarah is a soldier.",no +3470,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is late, then John is an artist. If John were an artist, then Michael is playing tennis. Can we infer the following from them? Answer yes or no: Michael is playing tennis.",no +3471,propositional,inference,transitivity,unrelated,"Consider the following premises: If Michael listens to a song, then Patricia is cooking. If Michael were a scientist, then Michael is listening to a song. Can we infer the following from them? Answer yes or no: Patricia is cooking.",no +3472,propositional,inference,transitivity,unrelated,"Consider the following premises: If Thomas were a politician, then Patricia is driving a car. If Patricia drives a car, then it is late. Can we infer the following from them? Answer yes or no: Patricia is driving a car.",no +3473,propositional,inference,transitivity,unrelated,"Consider the following premises: If it is cloudy, then Michael is driving a car. If it rains, then it is cloudy. Can we infer the following from them? Answer yes or no: It is cloudy.",no +3474,propositional,inference,transitivity,unrelated,"Consider the following premises: If James were a mechanic, then it is overcast. If it rains, then James is a mechanic. Can we infer the following from them? Answer yes or no: It is raining.",no +3475,propositional,inference,transitivity,unrelated,"Consider the following premises: If Sarah sleeps, then Robert is running. If Jennifer were an astronaut, then Sarah is sleeping. Can we infer the following from them? Answer yes or no: Sarah is sleeping.",no +3476,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Charles is drinking water. For all z_3, if z_3 were a sailor, then z_3 is drinking water. Can we infer the following from them? Answer yes or no: Charles is a sailor.",no +3477,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v, if v were an astronaut, then v is a police officer. Jennifer is a police officer. Can we infer the following from them? Answer yes or no: Jennifer is an astronaut.",no +3478,predicate,fallacy,undistributed middle,inference,"Consider the following premises: David is climbing a mountain. For all v, if v makes tea, then v is climbing a mountain. Can we infer the following from them? Answer yes or no: David is making tea.",no +3479,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Joseph is a janitor. For all u, if u makes tea, then u is a janitor. Can we infer the following from them? Answer yes or no: Joseph is making tea.",no +3480,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Karen is a carpenter. For all z_3, if z_3 were a sailor, then z_3 is a carpenter. Can we infer the following from them? Answer yes or no: Karen is a sailor.",no +3481,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Jennifer is an office clerk. For all x, if x makes tea, then x is an office clerk. Can we infer the following from them? Answer yes or no: Jennifer is making tea.",no +3482,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 climbs a mountain, then z_3 is a writer. William is a writer. Can we infer the following from them? Answer yes or no: William is climbing a mountain.",no +3483,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 were a police officer, then z_3 is reading a book. Sarah is reading a book. Can we infer the following from them? Answer yes or no: Sarah is a police officer.",no +3484,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all w, if w were happy, then w is a doctor. Susan is a doctor. Can we infer the following from them? Answer yes or no: Susan is happy.",no +3485,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Elisabeth is a politician. For all u, if u listens to a song, then u is a politician. Can we infer the following from them? Answer yes or no: Elisabeth is listening to a song.",no +3486,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y_2, if y_2 were a cashier, then y_2 is a sailor. Richard is a sailor. Can we infer the following from them? Answer yes or no: Richard is a cashier.",no +3487,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all x, if x drinks water, then x is a writer. Thomas is a writer. Can we infer the following from them? Answer yes or no: Thomas is drinking water.",no +3488,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y_2, if y_2 writes a letter, then y_2 is taking a plane. Mary is taking a plane. Can we infer the following from them? Answer yes or no: Mary is writing a letter.",no +3489,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all z_3, if z_3 climbs a mountain, then z_3 is playing a game. Richard is playing a game. Can we infer the following from them? Answer yes or no: Richard is climbing a mountain.",no +3490,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v, if v were a sailor, then v is an office clerk. Jessica is an office clerk. Can we infer the following from them? Answer yes or no: Jessica is a sailor.",no +3491,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Jennifer is excited. For all x, if x were a nurse, then x is excited. Can we infer the following from them? Answer yes or no: Jennifer is a nurse.",no +3492,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Patricia 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: Patricia is writing a letter.",no +3493,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Susan is playing squash. For all w, if w plays tennis, then w is playing squash. Can we infer the following from them? Answer yes or no: Susan is playing tennis.",no +3494,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all v, if v were a police officer, then v is listening to a song. William is listening to a song. Can we infer the following from them? Answer yes or no: William is a police officer.",no +3495,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y_2, if y_2 were an electrician, then y_2 is a cashier. Elisabeth is a cashier. Can we infer the following from them? Answer yes or no: Elisabeth is an electrician.",no +3496,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Linda is playing a game. For all z_3, if z_3 plays squash, then z_3 is playing a game. Can we infer the following from them? Answer yes or no: Linda is playing squash.",no +3497,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all u, if u were bored, then u is taking a plane. Thomas is taking a plane. Can we infer the following from them? Answer yes or no: Thomas is bored.",no +3498,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all u, if u were an artist, then u is drinking water. Jennifer is drinking water. Can we infer the following from them? Answer yes or no: Jennifer is an artist.",no +3499,predicate,fallacy,undistributed middle,inference,"Consider the following premises: For all y_2, if y_2 were a nurse, then y_2 is a poet. John is a poet. Can we infer the following from them? Answer yes or no: John is a nurse.",no +3500,predicate,fallacy,undistributed middle,inference,"Consider the following premises: Susan is an astronaut. For all v, if v were happy, then v is an astronaut. Can we infer the following from them? Answer yes or no: Susan is happy.",no +3501,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, the claim that u will climb a mountain and the claim that u is a taxi driver 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 will not climb a mountain nor u is not a taxi driver.",no +3502,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, neither u will play tennis nor 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 will not play tennis and the claim that u will not go running cannot both be true.",no +3503,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will play tennis 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 the claim that x will not play tennis and the claim that x will not listen to a song cannot both be true.",no +3504,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v, the claim that v is a police officer and the claim that v is a carpenter cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is not a police officer nor v is not a carpenter.",no +3505,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, the claim that w is a janitor and the claim that w is curious cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is not a janitor nor w is not curious.",no +3506,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v, the claim that v will listen to a song and the claim that v is a writer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v will not listen to a song nor v is not a writer.",no +3507,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, the claim that v_3 will sleep and the claim that v_3 will drink water cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which neither v_3 will not sleep nor v_3 will not drink water.",no +3508,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 doctor. 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 doctor cannot both be true.",no +3509,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will work 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 work and the claim that x is not a writer cannot both be true.",no +3510,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 nurse 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 nurse.",no +3511,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all y, the claim that y is a lawyer and the claim that y is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y is not a lawyer nor y is not a sailor.",no +3512,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will listen to a song nor 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 not listen to a song and the claim that x is not a taxi driver cannot both be true.",no +3513,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all u, neither u is happy nor u is a server. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u is not happy and the claim that u is not a server cannot both be true.",no +3514,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will play squash 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 play squash and the claim that x is not an artist cannot both be true.",no +3515,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all y, the claim that y is a writer and the claim that y is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y is not a writer nor y is not a lawyer.",no +3516,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v, the claim that v will climb a mountain and the claim that v will cook cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v will not climb a mountain nor v will not cook.",no +3517,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all w, the claim that w is happy and the claim that w will play a game cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is not happy nor w will not play a game.",no +3518,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all y, neither y is a cashier nor y is curious. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that y is not a cashier and the claim that y is not curious cannot both be true.",no +3519,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all z, neither z is a doctor nor z is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one z for which the claim that z is not a doctor and the claim that z is not an office clerk cannot both be true.",no +3520,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will climb a mountain 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 will not climb a mountain and the claim that x is not a poet cannot both be true.",no +3521,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will play squash 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 play squash and the claim that x will not cook cannot both be true.",no +3522,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, the claim that x will play a game and the claim that x is sad 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 a game nor x is not sad.",no +3523,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all x, neither x will play a game nor 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 not play a game and the claim that x will not drink water cannot both be true.",no +3524,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all v_3, the claim that v_3 will listen to a song and the claim that v_3 will play squash cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which neither v_3 will not listen to a song nor v_3 will not play squash.",no +3525,predicate,equivalent,universal De Morgan's laws,contradiction,"Consider the following premises: For all y, the claim that y will play squash and the claim that y is poor cannot both be true. Can we infer the following from them? Answer yes or no: There is at least one y for which neither y will not play squash nor y is not poor.",no +3526,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will drink water nor x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will not drink water and x is not an artist.",yes +3527,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y will read a book 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 not read a book or y will not climb a mountain.",yes +3528,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will read a book nor x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will not read a book and x is not a doctor.",yes +3529,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y will go running and the claim that y is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y will not go running or y is not a lawyer.",yes +3530,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y will drink water nor y is a bartender. Can we infer the following from them? Answer yes or no: For all y, y will not drink water and y is not a bartender.",yes +3531,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will make tea nor x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not make tea and x will not drink water.",yes +3532,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will make tea 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 not make tea or x will not cook.",yes +3533,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, neither w will work nor w is a scientist. Can we infer the following from them? Answer yes or no: For all w, w will not work and w is not a scientist.",yes +3534,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y is a bartender nor y will go running. Can we infer the following from them? Answer yes or no: For all y, y is not a bartender and y will not go running.",yes +3535,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all v_1, the claim that v_1 is excited and the claim that v_1 will play tennis cannot both be true. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is not excited or v_1 will not play tennis.",yes +3536,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x is a scientist nor x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist and x will not play tennis.",yes +3537,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, neither y is a writer nor y is a cashier. Can we infer the following from them? Answer yes or no: For all y, y is not a writer and y is not a cashier.",yes +3538,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will play a game nor x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will not play a game and x is not a scientist.",yes +3539,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y is a server and the claim that y is a writer cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y is not a server or y is not a writer.",yes +3540,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will play a game nor x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not play a game and x is not a writer.",yes +3541,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 will go running 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 will not go running.",yes +3542,predicate,equivalent,universal De Morgan's laws,inference,"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 not listen to a song and x will not drive a car.",yes +3543,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y is an artist 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: For all y, y is not an artist or y will not listen to a song.",yes +3544,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will take a plane 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 take a plane or x will not read a book.",yes +3545,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, neither x will cook nor x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will not cook and x is not a lawyer.",yes +3546,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 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 a game or x will not read a book.",yes +3547,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all w, neither w is a sailor nor w is sad. Can we infer the following from them? Answer yes or no: For all w, w is not a sailor and w is not sad.",yes +3548,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y is a nurse and the claim that y will play squash cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y is not a nurse or y will not play squash.",yes +3549,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all x, the claim that x will make tea 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 make tea or x will not work.",yes +3550,predicate,equivalent,universal De Morgan's laws,inference,"Consider the following premises: For all y, the claim that y will climb a mountain and the claim that y will play squash cannot both be true. Can we infer the following from them? Answer yes or no: For all y, y will not climb a mountain or y will not play squash.",yes +3551,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all w, the claim that w is a server and the claim that w is a politician cannot both be true. Can we infer the following from them? Answer yes or no: For all w, w will play tennis.",no +3552,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is a doctor 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 write a letter.",no +3553,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is an artist nor x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +3554,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x will drive a car 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 go running.",no +3555,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will make tea nor x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +3556,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play squash nor x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no +3557,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play squash nor x is fast. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no +3558,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x will work 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 will sleep.",no +3559,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will read a book nor x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +3560,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is happy and the claim that x is a cashier cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not play squash.",no +3561,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will drink water nor x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no +3562,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 will listen to a song cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no +3563,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a cashier nor x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no +3564,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x will play tennis nor x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +3565,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is fast nor x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no +3566,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, the claim that u is a sailor and the claim that u is a taxi driver cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u is fast.",no +3567,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, neither x is a police officer nor x will go running. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +3568,predicate,equivalent,universal De Morgan's laws,unrelated,"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 fast.",no +3569,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 is a lawyer cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no +3570,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all w, neither w will play tennis nor w will go running. Can we infer the following from them? Answer yes or no: For all w, w is an electrician.",no +3571,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, neither u is rich nor u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will not climb a mountain.",no +3572,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all u, neither u will play squash nor u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is happy.",no +3573,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all w, neither w is a soldier nor w is a politician. Can we infer the following from them? Answer yes or no: For all w, w will not read a book.",no +3574,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x will work and the claim that x will drink water cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no +3575,predicate,equivalent,universal De Morgan's laws,unrelated,"Consider the following premises: For all x, the claim that x is poor and the claim that x will play a game cannot both be true. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no +3576,predicate,inference,universal addition,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 neither x is an office clerk nor x is happy.",no +3577,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x is happy nor x is a carpenter.",no +3578,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x is a taxi driver nor x is an artist.",no +3579,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 will play a game.",no +3580,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 will cook.",no +3581,predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, u will drink water. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u will drink water nor u is sad.",no +3582,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 sad.",no +3583,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 will play tennis.",no +3584,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x will sleep nor x will take a plane.",no +3585,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 will make tea.",no +3586,predicate,inference,universal addition,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 neither x is a janitor nor x will work.",no +3587,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 will work.",no +3588,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x is sad nor x will write a letter.",no +3589,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 will listen to a song.",no +3590,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 sailor.",no +3591,predicate,inference,universal addition,contradiction,"Consider the following premises: For all z, z is a mechanic. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z is a mechanic nor z is a janitor.",no +3592,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 scientist.",no +3593,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x is a server nor x will take a plane.",no +3594,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x is a server nor x is happy.",no +3595,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 server.",no +3596,predicate,inference,universal addition,contradiction,"Consider the following premises: 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 neither x will write a letter nor x is a poet.",no +3597,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 will sleep.",no +3598,predicate,inference,universal addition,contradiction,"Consider the following premises: For all z, z will read a book. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will read a book nor z is sad.",no +3599,predicate,inference,universal addition,contradiction,"Consider the following premises: For all u, 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 neither u will listen to a song nor u is happy.",no +3600,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 will sleep.",no +3601,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 is a taxi driver.",yes +3602,predicate,inference,universal addition,inference,"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 carpenter or x is an artist.",yes +3603,predicate,inference,universal addition,inference,"Consider the following premises: For all v, v will read a book. Can we infer the following from them? Answer yes or no: For all v, v will read a book or v will listen to a song.",yes +3604,predicate,inference,universal addition,inference,"Consider the following premises: For all v, v is bored. Can we infer the following from them? Answer yes or no: For all v, v is bored or v is a lawyer.",yes +3605,predicate,inference,universal addition,inference,"Consider the following premises: For all v, v is sad. Can we infer the following from them? Answer yes or no: For all v, v is sad or v will drink water.",yes +3606,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 rich.",yes +3607,predicate,inference,universal addition,inference,"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 is a writer or x will write a letter.",yes +3608,predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad or x is a mechanic.",yes +3609,predicate,inference,universal addition,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 or x is rich.",yes +3610,predicate,inference,universal addition,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 or x will play tennis.",yes +3611,predicate,inference,universal addition,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 or x will play squash.",yes +3612,predicate,inference,universal addition,inference,"Consider the following premises: 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 or x is rich.",yes +3613,predicate,inference,universal addition,inference,"Consider the following premises: For all v, v is a mechanic. Can we infer the following from them? Answer yes or no: For all v, v is a mechanic or v will listen to a song.",yes +3614,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 drink water.",yes +3615,predicate,inference,universal addition,inference,"Consider the following premises: For all x, x is bored. Can we infer the following from them? Answer yes or no: For all x, x is bored or x will climb a mountain.",yes +3616,predicate,inference,universal addition,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 or x is curious.",yes +3617,predicate,inference,universal addition,inference,"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 drink water or x is a nurse.",yes +3618,predicate,inference,universal addition,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 or x will play a game.",yes +3619,predicate,inference,universal addition,inference,"Consider the following premises: For all v, v will play tennis. Can we infer the following from them? Answer yes or no: For all v, v will play tennis or v will play a game.",yes +3620,predicate,inference,universal addition,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 or x is a server.",yes +3621,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 is a lawyer.",yes +3622,predicate,inference,universal addition,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 or x will listen to a song.",yes +3623,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 cook.",yes +3624,predicate,inference,universal addition,inference,"Consider the following premises: 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 or x will drink water.",yes +3625,predicate,inference,universal addition,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 or x will make tea.",yes +3626,predicate,inference,universal addition,unrelated,"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 is a bartender.",no +3627,predicate,inference,universal addition,unrelated,"Consider the following premises: For all v_1, v_1 will go running. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not climb a mountain.",no +3628,predicate,inference,universal addition,unrelated,"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 will climb a mountain.",no +3629,predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is a musician. Can we infer the following from them? Answer yes or no: For all z, z is not a cashier.",no +3630,predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no +3631,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 not a server.",no +3632,predicate,inference,universal addition,unrelated,"Consider the following premises: For all z, z is a janitor. Can we infer the following from them? Answer yes or no: For all z, z is not an office clerk.",no +3633,predicate,inference,universal addition,unrelated,"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 is not a mechanic.",no +3634,predicate,inference,universal addition,unrelated,"Consider the following premises: For all x, x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no +3635,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 play squash.",no +3636,predicate,inference,universal addition,unrelated,"Consider the following premises: For all v_1, v_1 will play tennis. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will go running.",no +3637,predicate,inference,universal addition,unrelated,"Consider the following premises: For all v_1, v_1 is a writer. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is happy.",no +3638,predicate,inference,universal addition,unrelated,"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 not listen to a song.",no +3639,predicate,inference,universal addition,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 take a plane.",no +3640,predicate,inference,universal addition,unrelated,"Consider the following premises: For all u, u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is a janitor.",no +3641,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 make tea.",no +3642,predicate,inference,universal addition,unrelated,"Consider the following premises: For all x_1, x_1 will go running. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a mechanic.",no +3643,predicate,inference,universal addition,unrelated,"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 is not a taxi driver.",no +3644,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 take a plane.",no +3645,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 not a writer.",no +3646,predicate,inference,universal addition,unrelated,"Consider the following premises: For all w_3, w_3 is a carpenter. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a mechanic.",no +3647,predicate,inference,universal addition,unrelated,"Consider the following premises: For all x_1, x_1 is poor. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is not a police officer.",no +3648,predicate,inference,universal addition,unrelated,"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 is a lawyer.",no +3649,predicate,inference,universal addition,unrelated,"Consider the following premises: For all u, u is a soldier. Can we infer the following from them? Answer yes or no: For all u, u will not play tennis.",no +3650,predicate,inference,universal addition,unrelated,"Consider the following premises: For all x_1, x_1 will drink water. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will read a book.",no +3651,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w will make tea or w is an astronaut. For all w, w will make tea. Can we infer the following from them? Answer yes or no: For all w, w is an astronaut.",no +3652,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is rich. For all x, x is rich or x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +3653,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v will listen to a song. For all v, v will listen to a song or v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v is a doctor.",no +3654,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will play tennis. For all x, x will 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 +3655,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v is a poet or v will listen to a song. For all v, v is a poet. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song.",no +3656,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will play a game or x is happy. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no +3657,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v will go running. For all v, v will go running or v is bored. Can we infer the following from them? Answer yes or no: For all v, v is bored.",no +3658,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_3, u_3 will drink water. For all u_3, u_3 will drink water or u_3 is an astronaut. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is an astronaut.",no +3659,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 will play a game. For all y_4, y_4 will play a game or y_4 is a server. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a server.",no +3660,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is a doctor. For all x, x is a doctor 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 +3661,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x will play a game or x will go running. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no +3662,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 is happy. For all y_4, y_4 is happy or y_4 is a scientist. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a scientist.",no +3663,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v is a bartender or v will cook. For all v, v is a bartender. Can we infer the following from them? Answer yes or no: For all v, v will cook.",no +3664,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is sad or 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 will make tea.",no +3665,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v is an astronaut or v will work. For all v, v is an astronaut. Can we infer the following from them? Answer yes or no: For all v, v will work.",no +3666,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v is an office clerk or v will drink water. For all v, v is an office clerk. Can we infer the following from them? Answer yes or no: For all v, v will drink water.",no +3667,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all w, w is fast. For all w, w is fast or w will play a game. Can we infer the following from them? Answer yes or no: For all w, w will play a game.",no +3668,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 will climb a mountain. For all y_4, y_4 will climb a mountain or y_4 is a server. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a server.",no +3669,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 will take a plane. For all y_4, y_4 will take a plane or y_4 will play squash. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will play squash.",no +3670,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all x, x is an astronaut. For all x, x is an astronaut or x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no +3671,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v will drink water or v will take a plane. For all v, v will drink water. Can we infer the following from them? Answer yes or no: For all v, v will take a plane.",no +3672,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v will play a game. For all v, v will play a game or v will work. Can we infer the following from them? Answer yes or no: For all v, v will work.",no +3673,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all u_3, u_3 is a server or u_3 will read a book. For all u_3, u_3 is a server. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will read a book.",no +3674,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all y_4, y_4 is an office clerk or y_4 is a sailor. For all y_4, y_4 is an office clerk. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a sailor.",no +3675,predicate,fallacy,universal affirming a disjunct,inference,"Consider the following premises: For all v, v is an office clerk or v is bored. For all v, v is an office clerk. Can we infer the following from them? Answer yes or no: For all v, v is bored.",no +3676,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x will write a letter. For all x, if x climbs a mountain, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +3677,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all v, v is a doctor. For all v, if v writes a letter, then v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v will write a letter.",no +3678,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, y_3 is a soldier. For all y_3, if y_3 drinks water, then y_3 is a soldier. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will drink water.",no +3679,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 climbs a mountain, then y_2 is working. For all y_2, y_2 will work. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will climb a mountain.",no +3680,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all w, w will play tennis. For all w, if w makes tea, then w is playing tennis. Can we infer the following from them? Answer yes or no: For all w, w will make tea.",no +3681,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x plays tennis, then x is a poet. For all x, x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +3682,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 were curious, then y_2 is listening to a song. 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 is curious.",no +3683,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x takes a plane, then x is working. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +3684,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x is a server. For all x, if x climbs a mountain, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +3685,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_3, y_3 is happy. For all y_3, if y_3 cooks, then y_3 is happy. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will cook.",no +3686,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all w, if w makes tea, then w is a nurse. For all w, w is a nurse. Can we infer the following from them? Answer yes or no: For all w, w will make tea.",no +3687,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 plays a game, then y_2 is cooking. For all y_2, y_2 will cook. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will play a game.",no +3688,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were an office clerk, then x is a mechanic. For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no +3689,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all u, if u were a nurse, then u is listening to a song. 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 nurse.",no +3690,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, x will write a letter. For all x, if x sleeps, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +3691,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were a sailor, then x is playing squash. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no +3692,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all w, if w were a janitor, then w is sad. For all w, w is sad. Can we infer the following from them? Answer yes or no: For all w, w is a janitor.",no +3693,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, if x were a server, then x is a cashier. For all x, x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +3694,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all u, u will climb a mountain. For all u, if u listens to a song, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no +3695,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all u, if u were a soldier, then u is drinking water. For all u, u will drink water. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",no +3696,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all u, u will climb a mountain. For all u, if u were a writer, then u is climbing a mountain. Can we infer the following from them? Answer yes or no: For all u, u is a writer.",no +3697,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 reads a book, then y_2 is an artist. For all y_2, y_2 is an artist. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will read a book.",no +3698,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all u, u is a taxi driver. For all u, if u were a doctor, then u is a taxi driver. Can we infer the following from them? Answer yes or no: For all u, u is a doctor.",no +3699,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all x, 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: For all x, x will work.",no +3700,predicate,fallacy,universal affirming the consequent,inference,"Consider the following premises: For all y_2, if y_2 were a server, then y_2 is cooking. For all y_2, y_2 will cook. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is a server.",no +3701,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a lawyer or x is a nurse 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 lawyer or x is a nurse nor x is happy.",no +3702,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play tennis, and x is a sailor 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 play tennis and x is a sailor, and the claim that x will take a plane cannot both be true.",no +3703,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all z_2, z_2 will cook, and z_2 is sad and z_2 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which the claim that z_2 will cook and z_2 is sad, and the claim that z_2 is a cashier cannot both be true.",no +3704,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will work, and x will drink water and x is a janitor. 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 drink water, and the claim that x is a janitor cannot both be true.",no +3705,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will cook or x will take a plane 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 cook or x will take a plane nor x will play a game.",no +3706,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will go running or x will play tennis 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 will go running or x will play tennis nor x is bored.",no +3707,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a poet, and x will play squash 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 poet and x will play squash, and the claim that x is a lawyer cannot both be true.",no +3708,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all v, v is curious, and v will make tea 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 the claim that v is curious and v will make tea, and the claim that v will drive a car cannot both be true.",no +3709,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a police officer, 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 is a police officer and x will sleep, and the claim that x is sad cannot both be true.",no +3710,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all v, v is a poet or v will climb a mountain or v is a bartender. Can we infer the following from them? Answer yes or no: There is at least one v for which neither v is a poet or v will climb a mountain nor v is a bartender.",no +3711,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u is curious, and u will cook 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 the claim that u is curious and u will cook, and the claim that u will take a plane cannot both be true.",no +3712,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all v, v will make tea, and v is an artist and v is poor. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will make tea and v is an artist, and the claim that v is poor cannot both be true.",no +3713,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is an electrician, and x is poor 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 an electrician and x is poor, and the claim that x will drive a car cannot both be true.",no +3714,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u is bored or u is a lawyer or u will make tea. Can we infer the following from them? Answer yes or no: There is at least one u for which neither u is bored or u is a lawyer nor u will make tea.",no +3715,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all v, v is fast, and v is curious and v is a doctor. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v is fast and v is curious, and the claim that v is a doctor cannot both be true.",no +3716,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will write a letter, and x will cook 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 write a letter and x will cook, and the claim that x will take a plane cannot both be true.",no +3717,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will sleep, and 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 the claim that x will sleep and x is poor, and the claim that x will climb a mountain cannot both be true.",no +3718,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will listen to a song, and x is a poet 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 listen to a song and x is a poet, and the claim that x will write a letter cannot both be true.",no +3719,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a writer, and x will play a game 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 a writer and x will play a game, and the claim that x is a politician cannot both be true.",no +3720,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all z_2, z_2 will write a letter, and z_2 will cook and z_2 is a sailor. Can we infer the following from them? Answer yes or no: There is at least one z_2 for which the claim that z_2 will write a letter and z_2 will cook, and the claim that z_2 is a sailor cannot both be true.",no +3721,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will play squash, 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 the claim that x will play squash and x is a server, and the claim that x will drive a car cannot both be true.",no +3722,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x will take a plane, and x will play squash 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 take a plane and x will play squash, and the claim that x is happy cannot both be true.",no +3723,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is a poet, and x will write a letter 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 the claim that x is a poet and x will write a letter, and the claim that x will read a book cannot both be true.",no +3724,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all u, u will cook, and u will write a letter 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 cook and u will write a letter, and the claim that u will climb a mountain cannot both be true.",no +3725,predicate,equivalent,universal associative laws,contradiction,"Consider the following premises: For all x, x is bored, and x is happy 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 the claim that x is bored and x is happy, and the claim that x will read a book cannot both be true.",no +3726,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, or x will go running or x is a server. Can we infer the following from them? Answer yes or no: For all x, x will write a letter or x will go running, or x is a server.",yes +3727,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is an electrician, and x will go running and x will cook. Can we infer the following from them? Answer yes or no: For all x, x is an electrician and x will go running, and x will cook.",yes +3728,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will climb a mountain, or x is an astronaut or x is poor. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain or x is an astronaut, or x is poor.",yes +3729,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a lawyer, or x is a musician or 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 is a musician, or x will climb a mountain.",yes +3730,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a sailor, or x is sad or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a sailor or x is sad, or x will sleep.",yes +3731,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, and x will climb a mountain and x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will write a letter and x will climb a mountain, and x is a musician.",yes +3732,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is poor, and x will sleep and x will go running. Can we infer the following from them? Answer yes or no: For all x, x is poor and x will sleep, and x will go running.",yes +3733,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w, w will work, and w is a writer and w will listen to a song. Can we infer the following from them? Answer yes or no: For all w, w will work and w is a writer, and w will listen to a song.",yes +3734,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will work, 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 will work and x will listen to a song, and x is fast.",yes +3735,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all w, w is bored, and 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 is bored and w will write a letter, and w will go running.",yes +3736,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will go running, and x is a bartender and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will go running and x is a bartender, and x is a politician.",yes +3737,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a janitor, and x is a writer and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is a janitor and x is a writer, and x will sleep.",yes +3738,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will listen to a song, or x will climb a mountain or x will make tea. 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, or x will make tea.",yes +3739,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is curious, and x will write a letter and x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is curious and x will write a letter, and x is a janitor.",yes +3740,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will write a letter, and x will climb a mountain 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 climb a mountain, and x will make tea.",yes +3741,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a taxi driver, and x is bored and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver and x is bored, and x is an electrician.",yes +3742,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a taxi driver, and x is sad and x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver and x is sad, and x is a police officer.",yes +3743,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will read a book, and x is a musician and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will read a book and x is a musician, and x is a writer.",yes +3744,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is an electrician, or x is a lawyer or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is an electrician or x is a lawyer, or x will sleep.",yes +3745,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will play tennis, and x will drink water and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will play tennis and x will drink water, and x will take a plane.",yes +3746,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a politician, and 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 politician and x is a taxi driver, and x will cook.",yes +3747,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x will drive a car, or x will play a game or x will work. Can we infer the following from them? Answer yes or no: For all x, x will drive a car or x will play a game, or x will work.",yes +3748,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is an office clerk, or x is a cashier or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk or x is a cashier, or x will play tennis.",yes +3749,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is curious, or x is sad or x is poor. Can we infer the following from them? Answer yes or no: For all x, x is curious or x is sad, or x is poor.",yes +3750,predicate,equivalent,universal associative laws,inference,"Consider the following premises: For all x, x is a janitor, and x is a soldier and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x is a janitor and x is a soldier, and x will take a plane.",yes +3751,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain and x will write a letter and 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 +3752,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an electrician or x will make tea 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 +3753,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all y_2, y_2 will play squash or y_2 will sleep or y_2 will make tea. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is not sad.",no +3754,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will take a plane or x is an office clerk or x is poor. Can we infer the following from them? Answer yes or no: For all x, x is not bored.",no +3755,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will make tea and x will cook and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no +3756,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an artist and x is curious and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +3757,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all y_2, y_2 is a doctor or y_2 is fast or y_2 will play tennis. Can we infer the following from them? Answer yes or no: For all y_2, y_2 is not rich.",no +3758,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all w_3, w_3 will drive a car and w_3 is a sailor and w_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is bored.",no +3759,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a sailor and x is an artist and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no +3760,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drink water and x is a carpenter and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +3761,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an astronaut or x will play a game or x is a musician. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no +3762,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will play a game or x will sleep or x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no +3763,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is bored and x will write a letter and x is poor. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no +3764,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will work and x is a janitor and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no +3765,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all y_2, y_2 is a lawyer or y_2 will go running or y_2 will play a game. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will play tennis.",no +3766,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is rich and x will read a book and x will listen to a song. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no +3767,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an electrician and x is a bartender and x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no +3768,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a nurse and x is an astronaut and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no +3769,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will drive a car or x will cook or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +3770,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an artist or x will work or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no +3771,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will sleep and x will take a plane and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no +3772,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is an office clerk and x is a poet and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no +3773,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x will play squash and x will go running and x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +3774,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all y_2, y_2 will read a book or y_2 is a sailor or y_2 will play a game. Can we infer the following from them? Answer yes or no: For all y_2, y_2 will not take a plane.",no +3775,predicate,equivalent,universal associative laws,unrelated,"Consider the following premises: For all x, x is a soldier or x will write a letter or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no +3776,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a lawyer 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 the fact that x were a lawyer does not imply that x is playing a game.",no +3777,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will climb a mountain if and only if x will listen 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 climb a mountain.",no +3778,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z, z is an artist if and only if z will play a game. For all z, z is not an artist. 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 +3779,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is an electrician if and only if x will take a plane. 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 an electrician.",no +3780,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is an office clerk 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 the fact that x were a writer does not imply that x is an office clerk.",no +3781,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a janitor 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 the fact that x were a janitor does not imply that x is driving a car.",no +3782,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, 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 a lawyer.",no +3783,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a server if and only if 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 fact that x were a server does not imply that x is a police officer.",no +3784,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z, z is a cashier if and only if z is a nurse. For all z, z is not a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which z is a nurse.",no +3785,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all y_2, y_2 will not listen to a song. For all y_2, y_2 will make tea if and only if y_2 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y_2 for which y_2 will make tea.",no +3786,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a lawyer if and only if x is fast. 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 fast.",no +3787,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will not sleep. For all x, x will sleep 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 x is a lawyer.",no +3788,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is rich 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 the fact that x takes a plane does not imply that x is rich.",no +3789,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a bartender 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 a bartender.",no +3790,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will play a game 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 the fact that x plays a game does not imply that x is sleeping.",no +3791,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x_2, x_2 is not a bartender. For all x_2, x_2 is a bartender if and only if x_2 will sleep. Can we infer the following from them? Answer yes or no: There is at least one x_2 for which x_2 will sleep.",no +3792,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will take a plane 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: There is at least one x for which x will take a plane.",no +3793,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. 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 sailor does not imply that v is drinking water.",no +3794,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will sleep 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 the fact that x sleeps does not imply that x is taking a plane.",no +3795,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all u, u is a cashier if and only if u is a police officer. 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 police officer does not imply that u is a cashier.",no +3796,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a doctor if and only if x is a bartender. 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 is a bartender.",no +3797,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will not play a game. For all x, x is a writer 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 a writer.",no +3798,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all z_2, z_2 is rich if and only if z_2 is a police officer. For all z_2, z_2 is not 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 is rich.",no +3799,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x will play squash if and only if x is a nurse. 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 is a nurse.",no +3800,predicate,inference,universal biconditional elimination,contradiction,"Consider the following premises: For all x, x is a nurse if and only if 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 is a nurse.",no +3801,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not an astronaut. For all x, x is an astronaut 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 not drive a car.",yes +3802,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x_3, x_3 is an astronaut if and only if x_3 will sleep. Can we infer the following from them? Answer yes or no: For all x_3, if x_3 were an astronaut, then x_3 is sleeping.",yes +3803,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z will listen to a song if and only if z is happy. For all z, z will not listen to a song. Can we infer the following from them? Answer yes or no: For all z, z is not happy.",yes +3804,predicate,inference,universal biconditional elimination,inference,"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: For all x, if x were a lawyer, then x is an astronaut.",yes +3805,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will go running if and only if x is a soldier. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is a soldier.",yes +3806,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will read a book if and only if x is a writer. Can we infer the following from them? Answer yes or no: For all x, if x reads a book, then x is a writer.",yes +3807,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is bored if and only if x will play tennis. Can we infer the following from them? Answer yes or no: For all x, if x were bored, then x is playing tennis.",yes +3808,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not rich. For all x, x is rich if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",yes +3809,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z_2, z_2 will climb a mountain if and only if z_2 will read a book. For all z_2, z_2 will not climb a mountain. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will not read a book.",yes +3810,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all v, v is not a lawyer. For all v, v is a lawyer if and only if v will cook. Can we infer the following from them? Answer yes or no: For all v, v will not cook.",yes +3811,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all w_1, w_1 is a nurse if and only if w_1 will read a book. For all w_1, w_1 is not a nurse. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not read a book.",yes +3812,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x_3, x_3 will cook if and only if x_3 is excited. Can we infer the following from them? Answer yes or no: For all x_3, if x_3 cooks, then x_3 is excited.",yes +3813,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a janitor if and only if x is a bartender. For all x, x is not a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not a janitor.",yes +3814,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z is not a writer. For all z, z is a writer if and only if 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.",yes +3815,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is an artist if and only if x will play a game. Can we infer the following from them? Answer yes or no: For all x, if x were an artist, then x is playing a game.",yes +3816,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will not make tea. For all x, x is a police officer 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 a police officer.",yes +3817,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: 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, if x cooks, then x is a cashier.",yes +3818,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is a scientist 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 cashier, then x is a scientist.",yes +3819,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z is a mechanic if and only if z will read a book. For all z, z is not a mechanic. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",yes +3820,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x is not bored. For all x, x will work if and only if x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not work.",yes +3821,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all u, u is poor if and only if u is bored. Can we infer the following from them? Answer yes or no: For all u, if u were poor, then u is bored.",yes +3822,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will take a plane if and only if x will work. For all x, x will not work. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",yes +3823,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all x, x will drink water 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 drinking water.",yes +3824,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z_2, z_2 will not play tennis. For all z_2, z_2 will play tennis if and only if z_2 is an electrician. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is not an electrician.",yes +3825,predicate,inference,universal biconditional elimination,inference,"Consider the following premises: For all z, z will not cook. For all z, z will cook if and only if z is a server. Can we infer the following from them? Answer yes or no: For all z, z is not a server.",yes +3826,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 poor. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +3827,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v, v will not listen to a song. For all v, v is sad if and only if v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will not play tennis.",no +3828,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all u, u is a taxi driver if and only if u is an artist. For all u, u is not an artist. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no +3829,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y, y is a taxi driver if and only if y is an artist. Can we infer the following from them? Answer yes or no: For all y, y is not a musician.",no +3830,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v_1, v_1 is a politician if and only if v_1 will work. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a cashier.",no +3831,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z, z is not an astronaut. For all z, z is an astronaut if and only if z is happy. Can we infer the following from them? Answer yes or no: For all z, z is a server.",no +3832,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y_4, y_4 is an astronaut if and only if y_4 will sleep. For all y_4, y_4 is not an astronaut. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is not a carpenter.",no +3833,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a carpenter 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 fast.",no +3834,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all u, u will not climb a mountain. For all u, u will read a book if and only if u will climb a mountain. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",no +3835,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is an artist if and only if x is happy. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +3836,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y, y is a lawyer if and only if y is a writer. 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 a politician.",no +3837,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all y, y will not sleep. For all y, y will sleep if and only if y will write a letter. Can we infer the following from them? Answer yes or no: For all y, y will not drink water.",no +3838,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all z, z is not a poet. For all z, z is a poet if and only if z will drink water. Can we infer the following from them? Answer yes or no: For all z, z is not a politician.",no +3839,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will write a letter if and only if x will play 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 take a plane.",no +3840,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all u, u will drive a car if and only if u will climb a mountain. 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 not play squash.",no +3841,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v, v will not sleep. For all v, v will sleep if and only if v is a cashier. Can we infer the following from them? Answer yes or no: For all v, v will take a plane.",no +3842,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all w, w is a carpenter if and only if w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w is not a cashier.",no +3843,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will drive a car if and only if x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no +3844,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is a bartender if and only if x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no +3845,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is happy if and only if x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +3846,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will take a plane if and only if x will read a book. 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 play squash.",no +3847,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x is an astronaut if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, x will go running.",no +3848,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v, v is an office clerk if and only if v will play squash. For all v, v will not play squash. Can we infer the following from them? Answer yes or no: For all v, v will work.",no +3849,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all v_1, v_1 will play tennis if and only if v_1 is happy. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a scientist.",no +3850,predicate,inference,universal biconditional elimination,unrelated,"Consider the following premises: For all x, x will sleep if and only if x is poor. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +3851,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 were bored, then y_3 is reading a book. For all y_3, if y_3 reads a book, then y_3 is bored. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which it is not true that y_3 will read a book if and only if y_3 is bored.",no +3852,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all w_1, if w_1 plays tennis, then w_1 is playing squash. For all w_1, if w_1 plays squash, then w_1 is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which it is not true that w_1 will play squash if and only if w_1 will play tennis.",no +3853,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z were fast, then z is a carpenter. For all z, if z were a carpenter, then z is fast. 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 carpenter if and only if z is fast.",no +3854,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 were a doctor, then y_3 is playing tennis. For all y_3, if y_3 plays tennis, then 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 it is not true that y_3 will play tennis if and only if y_3 is a doctor.",no +3855,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 reads a book, then z_3 is sleeping. For all z_3, if z_3 sleeps, then z_3 is reading a book. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which it is not true that z_3 will sleep if and only if z_3 will read a book.",no +3856,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a taxi driver, 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 it is not true that x is a taxi driver if and only if x will cook.",no +3857,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a politician, then x is a mechanic. For all x, if x were a mechanic, 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 mechanic if and only if x is a politician.",no +3858,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 were excited, then y_3 is a police officer. For all y_3, if y_3 were a police officer, then y_3 is excited. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which it is not true that y_3 is a police officer if and only if y_3 is excited.",no +3859,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 were an office clerk, then y_3 is working. For all y_3, if y_3 works, 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 it is not true that y_3 will work if and only if y_3 is an office clerk.",no +3860,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z were a carpenter, then z is a police officer. For all z, if z were a police officer, then z is a carpenter. 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 carpenter if and only if z is a police officer.",no +3861,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all w_1, if w_1 sleeps, then w_1 is drinking water. For all w_1, if w_1 drinks water, then w_1 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which it is not true that w_1 will drink water if and only if w_1 will sleep.",no +3862,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x were a soldier, then x is a politician. For all x, if x were a politician, 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 politician if and only if x is a soldier.",no +3863,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z were happy, then z is a police officer. For all z, if z were a police officer, then z is happy. 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 police officer if and only if z is happy.",no +3864,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z drinks water, then z is an electrician. For all z, if z were an electrician, 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 an electrician.",no +3865,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 plays squash, then y_3 is playing a game. For all y_3, if y_3 plays a game, then y_3 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which it is not true that y_3 will play squash if and only if y_3 will play a game.",no +3866,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 were a politician, then z_3 is poor. For all z_3, if z_3 were poor, then 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 it is not true that z_3 is poor if and only if z_3 is a politician.",no +3867,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 were a poet, then z_3 is bored. For all z_3, if z_3 were bored, then z_3 is a poet. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which it is not true that z_3 is a poet if and only if z_3 is bored.",no +3868,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all w_1, if w_1 were a bartender, then w_1 is working. For all w_1, if w_1 works, then w_1 is a bartender. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which it is not true that w_1 will work if and only if w_1 is a bartender.",no +3869,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 cooks, then z_3 is an electrician. For all z_3, if z_3 were an electrician, then z_3 is cooking. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which it is not true that z_3 will cook if and only if z_3 is an electrician.",no +3870,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all w_1, if w_1 listens to a song, then w_1 is playing squash. For all w_1, if w_1 plays squash, then w_1 is listening to a song. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which it is not true that w_1 will listen to a song if and only if w_1 will play squash.",no +3871,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all y_3, if y_3 were poor, then y_3 is playing tennis. For all y_3, if y_3 plays tennis, then y_3 is poor. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which it is not true that y_3 is poor if and only if y_3 will play tennis.",no +3872,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z_3, if z_3 takes a plane, then z_3 is working. For all z_3, if z_3 works, then z_3 is taking a plane. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which it is not true that z_3 will take a plane if and only if z_3 will work.",no +3873,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all z, if z were an astronaut, then z is driving a car. For all z, if z drives a car, then z is an astronaut. 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 an astronaut if and only if z will drive a car.",no +3874,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is listening to a song. 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 it is not true that x will play tennis if and only if x will listen to a song.",no +3875,predicate,inference,universal biconditional introduction,contradiction,"Consider the following premises: For all w_1, if w_1 were a scientist, then w_1 is driving a car. For all w_1, if w_1 drives a car, then w_1 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which it is not true that w_1 is a scientist if and only if w_1 will drive a car.",no +3876,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all u_3, if u_3 were happy, then u_3 is a musician. For all u_3, if u_3 were a musician, then u_3 is happy. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is happy if and only if u_3 is a musician.",yes +3877,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v takes a plane, then v is driving a car. For all v, if v drives a car, then v is taking a plane. 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 take a plane.",yes +3878,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x plays squash, then x is a police officer. For all x, if x were a police officer, 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 is a police officer.",yes +3879,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v plays squash, then v is reading a book. For all v, if v reads a book, then v is playing squash. Can we infer the following from them? Answer yes or no: For all v, v will play squash if and only if v will read a book.",yes +3880,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x writes a letter, then x is poor. For all x, if x were poor, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x is poor if and only if x will write a letter.",yes +3881,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v writes a letter, then v is taking a plane. For all v, if v takes a plane, 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 take a plane.",yes +3882,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v plays squash, then v is listening to a song. For all v, if v listens to a song, then v is playing squash. Can we infer the following from them? Answer yes or no: For all v, v will play squash if and only if v will listen to a song.",yes +3883,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a taxi driver, then v is listening to a song. For all v, if v listens to a song, then v is a taxi driver. 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 is a taxi driver.",yes +3884,predicate,inference,universal biconditional introduction,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 a taxi driver, then v is a mechanic. Can we infer the following from them? Answer yes or no: For all v, v is a mechanic if and only if v is a taxi driver.",yes +3885,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v writes a letter, then v is cooking. For all v, if v cooks, 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 cook.",yes +3886,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v plays squash, then v is sad. For all v, if v were sad, then v is playing squash. Can we infer the following from them? Answer yes or no: For all v, v will play squash if and only if v is sad.",yes +3887,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were happy, then x is working. For all x, if x works, then x is happy. Can we infer the following from them? Answer yes or no: For all x, x will work if and only if x is happy.",yes +3888,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all u_3, if u_3 were a server, then u_3 is cooking. For all u_3, if u_3 cooks, then u_3 is a server. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is a server if and only if u_3 will cook.",yes +3889,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v plays a game, then v is cooking. For all v, if v cooks, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, v will play a game if and only if v will cook.",yes +3890,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a soldier, then v is working. For all v, if v works, then v is a soldier. Can we infer the following from them? Answer yes or no: For all v, v will work if and only if v is a soldier.",yes +3891,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a server, then v is a janitor. For all v, if v were a janitor, then v is a server. Can we infer the following from them? Answer yes or no: For all v, v is a janitor if and only if v is a server.",yes +3892,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v drinks water, then v is cooking. For all v, if v cooks, then v is drinking water. Can we infer the following from them? Answer yes or no: For all v, v will drink water if and only if v will cook.",yes +3893,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x drinks water, then x is a nurse. For all x, if x were a nurse, 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 nurse.",yes +3894,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w, if w writes a letter, then w is an artist. For all w, if w were an artist, then w is writing a letter. Can we infer the following from them? Answer yes or no: For all w, w will write a letter if and only if w is an artist.",yes +3895,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all x, if x were a police officer, then x is a musician. 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: For all x, x is a musician if and only if x is a police officer.",yes +3896,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v takes a plane, then v is cooking. For all v, if v cooks, then v is taking a plane. Can we infer the following from them? Answer yes or no: For all v, v will cook if and only if v will take a plane.",yes +3897,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v sleeps, then v is excited. For all v, if v were excited, then v is sleeping. Can we infer the following from them? Answer yes or no: For all v, v is excited if and only if v will sleep.",yes +3898,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v drinks water, then v is rich. For all v, if v were rich, then v is drinking water. Can we infer the following from them? Answer yes or no: For all v, v is rich if and only if v will drink water.",yes +3899,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all w, if w were a bartender, then w is a scientist. For all w, if w were a scientist, then w is a bartender. Can we infer the following from them? Answer yes or no: For all w, w is a bartender if and only if w is a scientist.",yes +3900,predicate,inference,universal biconditional introduction,inference,"Consider the following premises: For all v, if v were a police officer, then v is a nurse. For all v, if v were a nurse, then v is a police officer. Can we infer the following from them? Answer yes or no: For all v, v is a police officer if and only if v is a nurse.",yes +3901,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x makes tea, then x is a soldier. For all x, if x were a soldier, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +3902,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all u_4, if u_4 were a politician, then u_4 is a writer. For all u_4, if u_4 were a writer, then u_4 is a politician. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a writer.",no +3903,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all u_4, if u_4 takes a plane, then u_4 is making tea. For all u_4, if u_4 makes tea, then u_4 is taking a plane. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will make tea.",no +3904,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all u_4, if u_4 plays squash, then u_4 is playing tennis. For all u_4, if u_4 plays tennis, then u_4 is playing squash. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play squash.",no +3905,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_2, if v_2 were a nurse, then v_2 is cooking. For all v_2, if v_2 cooks, then v_2 is a nurse. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is a nurse.",no +3906,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x reads a book, then x is drinking 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: For all x, x will read a book.",no +3907,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were curious, then v_3 is happy. For all v_3, if v_3 were happy, then v_3 is curious. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is happy.",no +3908,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were a soldier, then v_3 is an electrician. For all v_3, if v_3 were an electrician, then v_3 is a soldier. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an electrician.",no +3909,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 takes a plane, then v_3 is curious. For all v_3, if v_3 were curious, then v_3 is taking a plane. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will take a plane.",no +3910,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all z, if z were a politician, then z is excited. For all z, if z were excited, then z is a politician. Can we infer the following from them? Answer yes or no: For all z, z is excited.",no +3911,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 drives a car, then v_3 is a lawyer. For all v_3, if v_3 were a lawyer, then v_3 is driving a car. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a lawyer.",no +3912,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x plays squash, then 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: For all x, x will play squash.",no +3913,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_2, if v_2 were poor, then v_2 is listening to a song. For all v_2, if v_2 listens to a song, then v_2 is poor. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is poor.",no +3914,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x were an artist, then x is playing squash. For all x, if x plays squash, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x will play squash.",no +3915,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were a politician, then v_3 is writing a letter. For all v_3, if v_3 writes a letter, then v_3 is a politician. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will write a letter.",no +3916,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were a soldier, then v_3 is making tea. For all v_3, if v_3 makes tea, 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 soldier.",no +3917,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_2, if v_2 drives a car, then v_2 is rich. For all v_2, if v_2 were rich, then v_2 is driving a car. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is rich.",no +3918,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is an office clerk. For all x, if x were an office clerk, 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.",no +3919,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_3, if v_3 were a janitor, then v_3 is an artist. For all v_3, if v_3 were an artist, then v_3 is a janitor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a janitor.",no +3920,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all u_4, if u_4 were a bartender, then u_4 is a mechanic. For all u_4, if u_4 were a mechanic, then u_4 is a bartender. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a mechanic.",no +3921,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all w_2, if w_2 goes running, then w_2 is bored. For all w_2, if w_2 were bored, then w_2 is running. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will go running.",no +3922,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all x, if x reads a book, then x is sad. For all x, if x were sad, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no +3923,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_2, if v_2 were a sailor, then v_2 is reading a book. For all v_2, if v_2 reads a book, then v_2 is a sailor. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is a sailor.",no +3924,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all v_2, if v_2 were a taxi driver, then v_2 is a cashier. For all v_2, if v_2 were a cashier, then v_2 is a taxi driver. Can we infer the following from them? Answer yes or no: For all v_2, v_2 is a taxi driver.",no +3925,predicate,inference,universal biconditional introduction,unrelated,"Consider the following premises: For all u_4, if u_4 were sad, then u_4 is playing squash. For all u_4, if u_4 plays squash, then u_4 is sad. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will play squash.",no +3926,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v will drive a car if and only if v will play tennis. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v drives a car, then v is playing tennis and the claim that if v plays tennis, then v is driving a car cannot both be true.",no +3927,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x were an office clerk, then x is reading a book and if x reads a book, 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 it is not true that x is an office clerk if and only if x will read a book.",no +3928,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v is sad if and only if v is rich. 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 sad, then v is rich and the claim that if v were rich, then v is sad cannot both be true.",no +3929,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is a writer 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 writer, then x is making tea and the claim that if x makes tea, then x is a writer cannot both be true.",no +3930,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y_4, y_4 will go running if and only if y_4 will sleep. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which the claim that if y_4 goes running, then y_4 is sleeping and the claim that if y_4 sleeps, then y_4 is running cannot both be true.",no +3931,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z_3, if z_3 were an office clerk, then z_3 is reading a book and if z_3 reads a book, then 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 it is not true that z_3 is an office clerk if and only if z_3 will read a book.",no +3932,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all z_3, if z_3 drinks water, then z_3 is reading a book and if z_3 reads a book, then z_3 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z_3 for which it is not true that z_3 will drink water if and only if z_3 will read a book.",no +3933,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x_4, if x_4 were a janitor, then x_4 is climbing a mountain and if x_4 climbs a mountain, then x_4 is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which it is not true that x_4 is a janitor if and only if x_4 will climb a mountain.",no +3934,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v will play tennis if and only if v will sleep. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v plays tennis, then v is sleeping and the claim that if v sleeps, then v is playing tennis cannot both be true.",no +3935,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x drives a car, then x is poor and 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 it is not true that x will drive a car if and only if x is poor.",no +3936,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x_4, if x_4 were bored, then x_4 is cooking and if x_4 cooks, then x_4 is bored. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which it is not true that x_4 is bored if and only if x_4 will cook.",no +3937,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x_4, if x_4 were an office clerk, then x_4 is making tea and if x_4 makes tea, then 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 it is not true that x_4 is an office clerk if and only if x_4 will make tea.",no +3938,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y is curious if and only if y will make tea. 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 curious, then y is making tea and the claim that if y makes tea, then y is curious cannot both be true.",no +3939,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x is an astronaut 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 claim that if x were an astronaut, then x is happy and the claim that if x were happy, then x is an astronaut cannot both be true.",no +3940,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, x will play tennis 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 claim that if x plays tennis, then x is a carpenter and the claim that if x were a carpenter, then x is playing tennis cannot both be true.",no +3941,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: 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: There is at least one x for which the claim that if x drives a car, then x is reading a book and the claim that if x reads a book, then x is driving a car cannot both be true.",no +3942,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will take a plane if and only if y is an electrician. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y takes a plane, then y is an electrician and the claim that if y were an electrician, then y is taking a plane cannot both be true.",no +3943,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all v, v will drive a car if and only if v will go running. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that if v drives a car, then v is running and the claim that if v goes running, then v is driving a car cannot both be true.",no +3944,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all w, if w goes running, then w is driving a car and if w drives a car, then w is running. Can we infer the following from them? Answer yes or no: There is at least one w for which it is not true that w will go running if and only if w will drive a car.",no +3945,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x listens to a song, then x is an office clerk and if x were an office clerk, 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 listen to a song if and only if x is an office clerk.",no +3946,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will take a plane if and only if y is poor. Can we infer the following from them? Answer yes or no: There is at least one y for which the claim that if y takes a plane, then y is poor and the claim that if y were poor, then y is taking a plane cannot both be true.",no +3947,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x_4, if x_4 cooks, then x_4 is a mechanic and if x_4 were a mechanic, then x_4 is cooking. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which it is not true that x_4 will cook if and only if x_4 is a mechanic.",no +3948,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, if x plays a game, then x is playing tennis and 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 it is not true that x will play a game if and only if x will play tennis.",no +3949,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all x, 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 the claim that if x reads a book, then x is running and the claim that if x goes running, then x is reading a book cannot both be true.",no +3950,predicate,equivalent,universal biconditional laws,contradiction,"Consider the following premises: For all y, y will drive a car if and only if y is an astronaut. 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 an astronaut and the claim that if y were an astronaut, then y is driving a car cannot both be true.",no +3951,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all z, if z writes a letter, then z is a poet and if z were a poet, then z is writing a letter. Can we infer the following from them? Answer yes or no: For all z, z will write a letter if and only if z is a poet.",yes +3952,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 works, then y_1 is driving a car and if y_1 drives a car, then y_1 is working. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will work if and only if y_1 will drive a car.",yes +3953,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all w_4, if w_4 listens to a song, then w_4 is sleeping and if w_4 sleeps, then w_4 is listening to a song. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will listen to a song if and only if w_4 will sleep.",yes +3954,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will climb a mountain if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, if x climbs a mountain, then x is cooking and if x cooks, then x is climbing a mountain.",yes +3955,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will play tennis if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is sad and if x were sad, then x is playing tennis.",yes +3956,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is sad if and only if x is an electrician. Can we infer the following from them? Answer yes or no: For all x, if x were sad, then x is an electrician and if x were an electrician, then x is sad.",yes +3957,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all w_4, if w_4 plays a game, then w_4 is drinking water and if w_4 drinks water, then w_4 is playing a game. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will play a game if and only if w_4 will drink water.",yes +3958,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will drink water if and only if x is sad. Can we infer the following from them? Answer yes or no: For all x, if x drinks water, then x is sad and if x were sad, then x is drinking water.",yes +3959,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, if x were an office clerk, then x is cooking and if x cooks, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk if and only if x will cook.",yes +3960,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a carpenter if and only if x will write a letter. Can we infer the following from them? Answer yes or no: For all x, if x were a carpenter, then x is writing a letter and if x writes a letter, then x is a carpenter.",yes +3961,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 were happy, then y_1 is bored and if y_1 were bored, then y_1 is happy. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is happy if and only if y_1 is bored.",yes +3962,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will play a game if and only if x will sleep. Can we infer the following from them? Answer yes or no: For all x, if x plays a game, then x is sleeping and if x sleeps, then x is playing a game.",yes +3963,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all z, z is a server if and only if z is bored. Can we infer the following from them? Answer yes or no: For all z, if z were a server, then z is bored and if z were bored, then z is a server.",yes +3964,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 were a janitor, then y_1 is a lawyer and if y_1 were a lawyer, 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 a lawyer.",yes +3965,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y, if y drives a car, then y is playing squash and if y plays squash, 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 if and only if y will play squash.",yes +3966,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y_1, if y_1 goes running, then y_1 is a nurse and if y_1 were a nurse, then y_1 is running. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will go running if and only if y_1 is a nurse.",yes +3967,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all y, if y were a soldier, then y is a politician and if y were a politician, then y is a soldier. Can we infer the following from them? Answer yes or no: For all y, y is a soldier if and only if y is a politician.",yes +3968,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x is a doctor if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, if x were a doctor, then x is making tea and if x makes tea, then x is a doctor.",yes +3969,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all w_4, if w_4 were poor, then w_4 is a police officer and if w_4 were a police officer, then w_4 is poor. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is poor if and only if w_4 is a police officer.",yes +3970,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all w, if w were a carpenter, then w is a lawyer and if w were a lawyer, then w is a carpenter. Can we infer the following from them? Answer yes or no: For all w, w is a carpenter if and only if w is a lawyer.",yes +3971,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will take a plane if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, if x takes a plane, then x is cooking and if x cooks, then x is taking a plane.",yes +3972,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will go running if and only if x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is a mechanic and if x were a mechanic, then x is running.",yes +3973,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will play tennis if and only if x will drive a car. Can we infer the following from them? Answer yes or no: For all x, if x plays tennis, then x is driving a car and if x drives a car, then x is playing tennis.",yes +3974,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all w, if w were sad, then w is climbing a mountain and if w climbs a mountain, then w is sad. Can we infer the following from them? Answer yes or no: For all w, w is sad if and only if w will climb a mountain.",yes +3975,predicate,equivalent,universal biconditional laws,inference,"Consider the following premises: For all x, x will go running if and only if x will make tea. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is making tea and if x makes tea, then x is running.",yes +3976,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x is a nurse if and only if x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no +3977,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were a mechanic, then x is a cashier and if x were a cashier, then x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no +3978,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were an electrician, then x is playing squash and if x plays squash, then x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no +3979,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will climb a mountain if and only if x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no +3980,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all w_4, if w_4 drives a car, then w_4 is running and if w_4 goes running, then w_4 is driving a car. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is happy.",no +3981,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x reads a book, then x is cooking and if x cooks, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no +3982,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x drinks water, then x is reading a book and if x reads a book, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no +3983,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will play a game if and only if x is curious. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +3984,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 police officer. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +3985,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 a sailor.",no +3986,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is a cashier and if x were a cashier, then x is playing tennis. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +3987,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x_1, x_1 is a taxi driver if and only if x_1 will cook. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not read a book.",no +3988,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all y, y is a lawyer if and only if y is an artist. Can we infer the following from them? Answer yes or no: For all y, y is not a carpenter.",no +3989,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x were an office clerk, then x is playing a game and if x plays a game, then x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +3990,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x_1, x_1 is a doctor if and only if x_1 will listen to a song. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a politician.",no +3991,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x_1, x_1 is an electrician if and only if x_1 will climb a mountain. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a scientist.",no +3992,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x goes running, then x is a janitor and if x were a janitor, 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 +3993,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is sleeping and if x sleeps, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no +3994,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all y, y is a nurse if and only if y is poor. Can we infer the following from them? Answer yes or no: For all y, y will not play squash.",no +3995,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, if x works, then x is an astronaut and if x were an astronaut, then x is working. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no +3996,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all w_4, if w_4 were a mechanic, then w_4 is a doctor and if w_4 were a doctor, then w_4 is a mechanic. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is an electrician.",no +3997,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x_1, x_1 is a carpenter if and only if x_1 will play squash. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not play tennis.",no +3998,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x is happy if and only if x will cook. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +3999,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x is curious 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 not cook.",no +4000,predicate,equivalent,universal biconditional laws,unrelated,"Consider the following premises: For all x, x will play a game 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 curious.",no +4001,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a musician or 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 is a musician.",no +4002,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, 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 is rich and the claim that x is a sailor cannot both be true.",no +4003,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, 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 the claim that x will play squash and the claim that x will work cannot both be true.",no +4004,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w_4, w_4 will play a game or w_4 will play squash. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which neither w_4 will play squash nor w_4 will play a game.",no +4005,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w will write a letter or w is a server. Can we infer the following from them? Answer yes or no: There is at least one w for which neither w is a server nor w will write a letter.",no +4006,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a sailor 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 is a police officer and the claim that x is a sailor cannot both be true.",no +4007,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w_4, w_4 is excited or w_4 is a poet. Can we infer the following from them? Answer yes or no: There is at least one w_4 for which neither w_4 is a poet nor w_4 is excited.",no +4008,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w is a sailor and w is a musician. 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 is a sailor cannot both be true.",no +4009,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is happy 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 drink water and the claim that x is happy cannot both be true.",no +4010,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will make tea 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 will make tea.",no +4011,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u will drink water and u is a doctor. 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 doctor and the claim that u will drink water cannot both be true.",no +4012,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v_2, v_2 will drive a car and v_2 will work. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which the claim that v_2 will work and the claim that v_2 will drive a car cannot both be true.",no +4013,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w_4, w_4 will climb a mountain 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 neither w_4 will work nor w_4 will climb a mountain.",no +4014,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all z, z will sleep 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 is a politician nor z will sleep.",no +4015,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x is a police officer or 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 a police officer.",no +4016,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v will work and v will go running. 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 work cannot both be true.",no +4017,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v_2, v_2 will climb a mountain and v_2 will play a game. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which the claim that v_2 will play a game and the claim that v_2 will climb a mountain cannot both be true.",no +4018,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v_2, v_2 will cook and 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 the claim that v_2 will play tennis and the claim that v_2 will cook cannot both be true.",no +4019,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all w, w will write a letter and w is a carpenter. 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 carpenter and the claim that w will write a letter cannot both be true.",no +4020,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v, v is a bartender and v is a taxi driver. 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 taxi driver and the claim that v is a bartender cannot both be true.",no +4021,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will take a plane 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 take a plane.",no +4022,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will play tennis 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 a sailor nor x will play tennis.",no +4023,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all u, u is rich and u will write a letter. Can we infer the following from them? Answer yes or no: There is at least one u for which the claim that u will write a letter and the claim that u is rich cannot both be true.",no +4024,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all v_2, v_2 is a janitor and v_2 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one v_2 for which the claim that v_2 will write a letter and the claim that v_2 is a janitor cannot both be true.",no +4025,predicate,equivalent,universal commutative laws,contradiction,"Consider the following premises: For all x, x will cook 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 play squash nor x will cook.",no +4026,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a cashier or x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy or x is a cashier.",yes +4027,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: 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 will go running or x will cook.",yes +4028,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all u_3, u_3 will play tennis or u_3 will read a book. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will read a book or u_3 will play tennis.",yes +4029,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_3, v_3 will drink water and v_3 is an office clerk. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an office clerk and v_3 will drink water.",yes +4030,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will work and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is bored and x will work.",yes +4031,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w is bored and w is a server. Can we infer the following from them? Answer yes or no: For all w, w is a server and w is bored.",yes +4032,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is bored 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 bored.",yes +4033,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w_2, w_2 is a lawyer and w_2 will work. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will work and w_2 is a lawyer.",yes +4034,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a poet and x will work. Can we infer the following from them? Answer yes or no: For all x, x will work and x is a poet.",yes +4035,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is an astronaut 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 is an astronaut.",yes +4036,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a politician or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a cashier or x is a politician.",yes +4037,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_3, v_3 will climb a mountain and v_3 is poor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is poor and v_3 will climb a mountain.",yes +4038,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_3, v_3 will work and v_3 will play squash. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will play squash and v_3 will work.",yes +4039,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will climb a mountain 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 or x will climb a mountain.",yes +4040,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a politician and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x is a politician.",yes +4041,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all w, w will drive a car and w will cook. Can we infer the following from them? Answer yes or no: For all w, w will cook and w will drive a car.",yes +4042,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a janitor or 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 janitor.",yes +4043,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will play squash or x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast or x will play squash.",yes +4044,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_3, v_3 is happy and v_3 is a nurse. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a nurse and v_3 is happy.",yes +4045,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x is a sailor and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a writer and x is a sailor.",yes +4046,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will write a letter or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep or x will write a letter.",yes +4047,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all x, x will drive a car or x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server or x will drive a car.",yes +4048,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all z_1, z_1 will write a letter or z_1 will work. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will work or z_1 will write a letter.",yes +4049,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all u_3, u_3 will climb a mountain or u_3 is curious. Can we infer the following from them? Answer yes or no: For all u_3, u_3 is curious or u_3 will climb a mountain.",yes +4050,predicate,equivalent,universal commutative laws,inference,"Consider the following premises: For all v_3, v_3 will write a letter and v_3 is a janitor. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is a janitor and v_3 will write a letter.",yes +4051,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will make tea or x is excited. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no +4052,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_1, w_1 will play tennis and w_1 will cook. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not play squash.",no +4053,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w_1, w_1 will play squash and w_1 will drive a car. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will listen to a song.",no +4054,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a sailor or x is bored. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",no +4055,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v, v will play a game and v will listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will play tennis.",no +4056,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all z_3, z_3 will go running and z_3 will play squash. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will sleep.",no +4057,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 listen to a song.",no +4058,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is excited or x is a server. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no +4059,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all u_3, u_3 will sleep or u_3 is excited. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will write a letter.",no +4060,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w is poor and w is curious. Can we infer the following from them? Answer yes or no: For all w, w is not a police officer.",no +4061,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a nurse or x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no +4062,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v_4, v_4 will climb a mountain or v_4 is fast. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is a doctor.",no +4063,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will take a plane and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +4064,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is a taxi driver or x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",no +4065,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will drive a car or x is curious. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +4066,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v, v is a cashier and v will play tennis. Can we infer the following from them? Answer yes or no: For all v, v will listen to a song.",no +4067,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is happy or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +4068,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all z_2, z_2 will make tea and z_2 will play a game. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is not excited.",no +4069,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all u_3, u_3 is a mechanic or u_3 will listen to a song. Can we infer the following from them? Answer yes or no: For all u_3, u_3 will work.",no +4070,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all w, w will play a game and w is a bartender. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",no +4071,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all z_3, z_3 is a lawyer and z_3 will make tea. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will work.",no +4072,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all z_2, z_2 will play squash and z_2 is a politician. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will not listen to a song.",no +4073,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x will climb a mountain or x is happy. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no +4074,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all v_4, v_4 is happy or v_4 is a server. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will climb a mountain.",no +4075,predicate,equivalent,universal commutative laws,unrelated,"Consider the following premises: For all x, x is an artist and x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no +4076,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u, u is an electrician. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not an electrician.",no +4077,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u, 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 +4078,predicate,equivalent,universal complement laws,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 x will not drive a car.",no +4079,predicate,equivalent,universal complement laws,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 x will not drink water.",no +4080,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all y_4, 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 will not work.",no +4081,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 not make tea.",no +4082,predicate,equivalent,universal complement laws,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 x will not work.",no +4083,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 +4084,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 will not cook.",no +4085,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all z, 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 not a musician.",no +4086,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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.",no +4087,predicate,equivalent,universal complement laws,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 x will not read a book.",no +4088,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 server.",no +4089,predicate,equivalent,universal complement laws,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 w is not a nurse.",no +4090,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 soldier.",no +4091,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 z will not sleep.",no +4092,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 not a writer.",no +4093,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: 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 not drive a car.",no +4094,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all y_4, y_4 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 will not drive a car.",no +4095,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 +4096,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all u, 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 not a lawyer.",no +4097,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 +4098,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all z, 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 make tea.",no +4099,predicate,equivalent,universal complement laws,contradiction,"Consider the following premises: For all z, z will work. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not work.",no +4100,predicate,equivalent,universal complement laws,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 x is not a soldier.",no +4101,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all v_1, v_1 will play a game. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will play a game.",yes +4102,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u_2, 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 +4103,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y, y is a politician. Can we infer the following from them? Answer yes or no: For all y, y is a politician.",yes +4104,predicate,equivalent,universal complement laws,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.",yes +4105,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all x, x is sad. Can we infer the following from them? Answer yes or no: For all x, x is sad.",yes +4106,predicate,equivalent,universal complement laws,inference,"Consider the following premises: 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 is an astronaut.",yes +4107,predicate,equivalent,universal complement laws,inference,"Consider the following premises: 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 is excited.",yes +4108,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all v_1, v_1 is bored. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is bored.",yes +4109,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 +4110,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y, y is an office clerk. Can we infer the following from them? Answer yes or no: For all y, y is an office clerk.",yes +4111,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all y, y is fast. Can we infer the following from them? Answer yes or no: For all y, y is fast.",yes +4112,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u_2, u_2 will listen to a song. Can we infer the following from them? Answer yes or no: For all u_2, u_2 will listen to a song.",yes +4113,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 +4114,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 +4115,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all u, u is an electrician. Can we infer the following from them? Answer yes or no: For all u, u is an electrician.",yes +4116,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all v_1, v_1 will drink water. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will drink water.",yes +4117,predicate,equivalent,universal complement laws,inference,"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 sleep.",yes +4118,predicate,equivalent,universal complement laws,inference,"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 a bartender.",yes +4119,predicate,equivalent,universal complement laws,inference,"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 drink water.",yes +4120,predicate,equivalent,universal complement laws,inference,"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 read a book.",yes +4121,predicate,equivalent,universal complement laws,inference,"Consider the following premises: For all z, z is a writer. Can we infer the following from them? Answer yes or no: For all z, z is a writer.",yes +4122,predicate,equivalent,universal complement laws,inference,"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 is a soldier.",yes +4123,predicate,equivalent,universal complement laws,inference,"Consider the following premises: 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.",yes +4124,predicate,equivalent,universal complement laws,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.",yes +4125,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 +4126,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_3, v_3 is bored. Can we infer the following from them? Answer yes or no: For all v_3, v_3 will not play tennis.",no +4127,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: 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 not take a plane.",no +4128,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 a janitor.",no +4129,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w, w will work. Can we infer the following from them? Answer yes or no: For all w, w will not play tennis.",no +4130,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y is a server. Can we infer the following from them? Answer yes or no: For all y, y is happy.",no +4131,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 fast.",no +4132,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v, v will take a plane. Can we infer the following from them? Answer yes or no: For all v, v will not climb a mountain.",no +4133,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v_3, v_3 will work. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is curious.",no +4134,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 listen to a song.",no +4135,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 cook.",no +4136,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w, w is a police officer. Can we infer the following from them? Answer yes or no: For all w, w is not sad.",no +4137,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all z_3, z_3 is excited. Can we infer the following from them? Answer yes or no: For all z_3, z_3 will not sleep.",no +4138,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w, w will play squash. Can we infer the following from them? Answer yes or no: For all w, w is not poor.",no +4139,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 listen to a song.",no +4140,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will play a game. Can we infer the following from them? Answer yes or no: For all y, y will climb a mountain.",no +4141,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w, w is an astronaut. Can we infer the following from them? Answer yes or no: For all w, w will drink water.",no +4142,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w, w is a nurse. Can we infer the following from them? Answer yes or no: For all w, w will not play a game.",no +4143,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v, v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v is a soldier.",no +4144,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w_4, w_4 will play squash. Can we infer the following from them? Answer yes or no: For all w_4, w_4 is fast.",no +4145,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will take a plane. Can we infer the following from them? Answer yes or no: For all y, y will drink water.",no +4146,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y, y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, y is not a doctor.",no +4147,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all v, v is a poet. Can we infer the following from them? Answer yes or no: For all v, v is a nurse.",no +4148,predicate,equivalent,universal complement laws,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 not a soldier.",no +4149,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all w_4, w_4 will make tea. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will play a game.",no +4150,predicate,equivalent,universal complement laws,unrelated,"Consider the following premises: For all y_3, y_3 is a musician. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a soldier.",no +4151,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x will not sleep 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 the fact that x sleeps does not imply that x is reading a book.",no +4152,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all z_2, z_2 is not an astronaut 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 the fact that z_2 were an astronaut does not imply that z_2 is playing a game.",no +4153,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a politician, then 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 not a politician nor x is a cashier.",no +4154,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x works, 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 neither x will not work nor x will read a book.",no +4155,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a musician or w is a nurse. 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 a nurse.",no +4156,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_1, if x_1 were a nurse, then x_1 is a server. Can we infer the following from them? Answer yes or no: There is at least one x_1 for which neither x_1 is not a nurse nor x_1 is a server.",no +4157,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a writer, then 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 not a writer nor x is an astronaut.",no +4158,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were happy, then x is sleeping. 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 sleep.",no +4159,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_1, if x_1 goes running, then x_1 is listening to a song. 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 go running nor x_1 will listen to a song.",no +4160,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_1, if x_1 listens to a song, 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 neither x_1 will not listen to a song nor x_1 will make tea.",no +4161,predicate,equivalent,universal conditional laws,contradiction,"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: There is at least one x for which neither x is not poor nor x will work.",no +4162,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, x is not a scientist 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 scientist does not imply that x is a carpenter.",no +4163,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w_1, w_1 is not fast 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 the fact that w_1 were fast does not imply that w_1 is a server.",no +4164,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were an office clerk, then 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 is not an office clerk nor x is a server.",no +4165,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_1, if x_1 listens to a song, 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 neither x_1 will not listen to a song nor x_1 will read a book.",no +4166,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all v_1, if v_1 were a soldier, then v_1 is rich. Can we infer the following from them? Answer yes or no: There is at least one v_1 for which neither v_1 is not a soldier nor v_1 is rich.",no +4167,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all z_2, z_2 is not a janitor or z_2 is excited. 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 were a janitor does not imply that z_2 is excited.",no +4168,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x plays tennis, then x is bored. 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 is bored.",no +4169,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a nurse or w will work. 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 nurse does not imply that w is working.",no +4170,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x, if x were a janitor, then 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 not a janitor nor x is a soldier.",no +4171,predicate,equivalent,universal conditional laws,contradiction,"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: There is at least one x for which neither x will not climb a mountain nor x will play a game.",no +4172,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not bored or w is a politician. Can we infer the following from them? Answer yes or no: There is at least one w for which the fact that w were bored does not imply that w is a politician.",no +4173,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a cashier 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 the fact that w were a cashier does not imply that w is writing a letter.",no +4174,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all x_1, if x_1 plays tennis, then x_1 is a musician. 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 play tennis nor x_1 is a musician.",no +4175,predicate,equivalent,universal conditional laws,contradiction,"Consider the following premises: For all w, w is not a janitor or 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 were a janitor does not imply that w is a musician.",no +4176,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not an office clerk or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, if x were an office clerk, then x is taking a plane.",yes +4177,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all y, y will not climb a mountain or y will play tennis. Can we infer the following from them? Answer yes or no: For all y, if y climbs a mountain, then y is playing tennis.",yes +4178,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v, v is not poor or v is a soldier. Can we infer the following from them? Answer yes or no: For all v, if v were poor, then v is a soldier.",yes +4179,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, if z takes a plane, then z is playing tennis. Can we infer the following from them? Answer yes or no: For all z, z will not take a plane or z will play tennis.",yes +4180,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were a server, 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 server or x will listen to a song.",yes +4181,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all w, if w works, then w is sleeping. Can we infer the following from them? Answer yes or no: For all w, w will not work or w will sleep.",yes +4182,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, if z were sad, then z is fast. Can we infer the following from them? Answer yes or no: For all z, z is not sad or z is fast.",yes +4183,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v, v is not a poet or v is a doctor. Can we infer the following from them? Answer yes or no: For all v, if v were a poet, then v is a doctor.",yes +4184,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not an astronaut or x is a janitor. Can we infer the following from them? Answer yes or no: For all x, if x were an astronaut, then x is a janitor.",yes +4185,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 plays squash, then v_4 is working. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not play squash or v_4 will work.",yes +4186,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all y, y will not work or y will make tea. Can we infer the following from them? Answer yes or no: For all y, if y works, then y is making tea.",yes +4187,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, if z were a cashier, then z is a writer. Can we infer the following from them? Answer yes or no: For all z, z is not a cashier or z is a writer.",yes +4188,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x is not a musician or x is poor. Can we infer the following from them? Answer yes or no: For all x, if x were a musician, then x is poor.",yes +4189,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all u, u will not work or u will write a letter. Can we infer the following from them? Answer yes or no: For all u, if u works, then u is writing a letter.",yes +4190,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 reads a book, then v_4 is an electrician. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not read a book or v_4 is an electrician.",yes +4191,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: 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 is not a carpenter or x will play a game.",yes +4192,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, if x were bored, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is not bored or x is a poet.",yes +4193,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all v_4, if v_4 plays a game, then v_4 is a nurse. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not play a game or v_4 is a nurse.",yes +4194,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: 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 will not play squash or x is a taxi driver.",yes +4195,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all y, y is not an electrician or y is sad. Can we infer the following from them? Answer yes or no: For all y, if y were an electrician, then y is sad.",yes +4196,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all y, y is not a scientist or y will drink water. Can we infer the following from them? Answer yes or no: For all y, if y were a scientist, then y is drinking water.",yes +4197,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all w_1, if w_1 sleeps, then w_1 is a politician. Can we infer the following from them? Answer yes or no: For all w_1, w_1 will not sleep or w_1 is a politician.",yes +4198,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all w, if w drinks water, then w is a taxi driver. Can we infer the following from them? Answer yes or no: For all w, w will not drink water or w is a taxi driver.",yes +4199,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all z, z will not go running or z is a police officer. Can we infer the following from them? Answer yes or no: For all z, if z goes running, then z is a police officer.",yes +4200,predicate,equivalent,universal conditional laws,inference,"Consider the following premises: For all x, x will not drive a car or x will cook. Can we infer the following from them? Answer yes or no: For all x, if x drives a car, then x is cooking.",yes +4201,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_1, v_1 is not poor or v_1 will listen to a song. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will drive a car.",no +4202,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a janitor or x is a poet. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4203,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_1, v_1 will not take a plane or v_1 is a doctor. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not play tennis.",no +4204,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a mechanic or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no +4205,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not an office clerk or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no +4206,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v, if v drives a car, then v is reading a book. Can we infer the following from them? Answer yes or no: For all v, v will not go running.",no +4207,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a cashier or x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +4208,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were rich, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no +4209,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not excited or x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no +4210,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v, if v were a bartender, then v is cooking. Can we infer the following from them? Answer yes or no: For all v, v is rich.",no +4211,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not read a book or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no +4212,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_1, v_1 is not a mechanic or v_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not read a book.",no +4213,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a politician, then x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no +4214,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x will not take a plane or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no +4215,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not excited or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no +4216,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were a server, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is a musician.",no +4217,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: 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, x is a writer.",no +4218,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no +4219,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_3, v_3 is not sad or v_3 is fast. Can we infer the following from them? Answer yes or no: For all v_3, v_3 is an artist.",no +4220,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a sailor or x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no +4221,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_1, v_1 will not play squash or v_1 is an astronaut. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not read a book.",no +4222,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: 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, x will not climb a mountain.",no +4223,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all v_1, v_1 is not a sailor or v_1 will take a plane. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a police officer.",no +4224,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, x is not a server or x will work. Can we infer the following from them? Answer yes or no: For all x, x will not listen to a song.",no +4225,predicate,equivalent,universal conditional laws,unrelated,"Consider the following premises: For all x, if x were curious, then x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +4226,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is curious. For all w_1, w_1 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 will drive a car and the claim that w_1 is curious cannot both be true.",no +4227,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is a server. For all w_1, w_1 will work. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 will work and the claim that w_1 is a server cannot both be true.",no +4228,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v_4, v_4 will cook. For all v_4, v_4 is sad. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which the claim that v_4 is sad and the claim that v_4 will cook cannot both be true.",no +4229,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v_4, v_4 will read a book. For all v_4, 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 the claim that v_4 is a poet and the claim that v_4 will read a book cannot both be true.",no +4230,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is a bartender. For all w_1, w_1 is a scientist. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 is a bartender and the claim that w_1 is a scientist cannot both be true.",no +4231,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v_4, v_4 is a soldier. 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 the claim that v_4 is a soldier and the claim that v_4 is a carpenter cannot both be true.",no +4232,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a police officer. For all x, 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 is a police officer cannot both be true.",no +4233,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is happy. For all w_1, w_1 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 is happy and the claim that w_1 will climb a mountain cannot both be true.",no +4234,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a police officer. 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 police officer and the claim that x is happy cannot both be true.",no +4235,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v_4, v_4 is an office clerk. For all v_4, v_4 will sleep. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which the claim that v_4 will sleep and the claim that v_4 is an office clerk cannot both be true.",no +4236,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all v_4, v_4 is a nurse. For all v_4, v_4 will climb a mountain. Can we infer the following from them? Answer yes or no: There is at least one v_4 for which the claim that v_4 is a nurse and the claim that v_4 will climb a mountain cannot both be true.",no +4237,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is happy. 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 the claim that x is happy and the claim that x will listen to a song cannot both be true.",no +4238,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a poet. 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 a poet cannot both be true.",no +4239,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will drink water. 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 the claim that x will drink water and the claim that x is rich cannot both be true.",no +4240,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is happy. 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 is happy and the claim that x will work cannot both be true.",no +4241,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a server. 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 server cannot both be true.",no +4242,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will play a game. 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 the claim that x is fast and the claim that x will play a game cannot both be true.",no +4243,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is a nurse. For all w_1, w_1 is sad. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 is a nurse and the claim that w_1 is sad cannot both be true.",no +4244,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all w_1, w_1 is a cashier. For all w_1, w_1 will write a letter. Can we infer the following from them? Answer yes or no: There is at least one w_1 for which the claim that w_1 will write a letter and the claim that w_1 is a cashier cannot both be true.",no +4245,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will take a plane. 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 the claim that x will go running and the claim that x will take a plane cannot both be true.",no +4246,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x is a nurse. 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 the claim that x will go running and the claim that x is a nurse cannot both be true.",no +4247,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will listen to a song. 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 the claim that x will listen to a song and the claim that x will drink water cannot both be true.",no +4248,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will sleep. 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 the claim that x will sleep and the claim that x will cook cannot both be true.",no +4249,predicate,inference,universal conjunction,contradiction,"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: There is at least one x for which the claim that x will write a letter and the claim that x will take a plane cannot both be true.",no +4250,predicate,inference,universal conjunction,contradiction,"Consider the following premises: For all x, x will drive a car. 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 will drive a car and the claim that x is a mechanic cannot both be true.",no +4251,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a scientist. For all x, x will go running. Can we infer the following from them? Answer yes or no: For all x, x is a scientist and x will go running.",yes +4252,predicate,inference,universal conjunction,inference,"Consider the following premises: For all y_3, y_3 will play squash. For all y_3, y_3 will go running. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play squash and y_3 will go running.",yes +4253,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u, u will write a letter. For all u, u is a bartender. Can we infer the following from them? Answer yes or no: For all u, u is a bartender and u will write a letter.",yes +4254,predicate,inference,universal conjunction,inference,"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: For all x, x will play tennis and x will make tea.",yes +4255,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u_2, u_2 is a server. For all u_2, u_2 is a doctor. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a doctor and u_2 is a server.",yes +4256,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is poor. 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 and x is poor.",yes +4257,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drive a car. 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 and x will climb a mountain.",yes +4258,predicate,inference,universal conjunction,inference,"Consider the following premises: For all y_3, y_3 will play a game. For all y_3, y_3 will read a book. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will play a game and y_3 will read a book.",yes +4259,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u_2, u_2 is excited. For all u_2, u_2 is a janitor. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a janitor and u_2 is excited.",yes +4260,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is poor. For all x, x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is poor and x will sleep.",yes +4261,predicate,inference,universal conjunction,inference,"Consider the following premises: For all v, v is a politician. For all v, v is a doctor. Can we infer the following from them? Answer yes or no: For all v, v is a politician and v is a doctor.",yes +4262,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will sleep. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x is poor and x will sleep.",yes +4263,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u, u is sad. For all u, u is bored. Can we infer the following from them? Answer yes or no: For all u, u is sad and u is bored.",yes +4264,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will make tea. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x will make tea and x is poor.",yes +4265,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a poet. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is a poet and x will cook.",yes +4266,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will make tea. For all x, x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a scientist and x will make tea.",yes +4267,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u, u will play squash. For all u, u is a cashier. Can we infer the following from them? Answer yes or no: For all u, u is a cashier and u will play squash.",yes +4268,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will drink water. 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 drink water.",yes +4269,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a bartender. 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 bartender and x will take a plane.",yes +4270,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is a bartender. 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 bartender and x will take a plane.",yes +4271,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u_2, u_2 is a police officer. For all u_2, u_2 will listen to a song. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a police officer and u_2 will listen to a song.",yes +4272,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will work. For all x, x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x will work and x will climb a mountain.",yes +4273,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x will go running. 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 will go running.",yes +4274,predicate,inference,universal conjunction,inference,"Consider the following premises: For all x, x is rich. 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 and x is rich.",yes +4275,predicate,inference,universal conjunction,inference,"Consider the following premises: For all u, u will write a letter. For all u, u is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is a doctor and u will write a letter.",yes +4276,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will drive a car. 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 astronaut.",no +4277,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a mechanic. For all x, x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +4278,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a scientist. For all x, x is a server. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4279,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will listen to a song. For all x, x is poor. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +4280,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a lawyer. For all x, x is happy. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4281,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a politician. For all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +4282,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is an office clerk. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no +4283,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play a game. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no +4284,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a lawyer. For all x, x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no +4285,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a doctor. 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 +4286,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will sleep. 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 drive a car.",no +4287,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is an artist. For all x, x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",no +4288,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a janitor. 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 a poet.",no +4289,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a writer. 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 carpenter.",no +4290,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a writer. 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 lawyer.",no +4291,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all z, z will play tennis. For all z, z will listen to a song. Can we infer the following from them? Answer yes or no: For all z, z is not a doctor.",no +4292,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a taxi driver. 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 bartender.",no +4293,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will make tea. 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 lawyer.",no +4294,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a janitor. For all x, x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a writer.",no +4295,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is an artist. For all x, x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +4296,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a nurse. For all x, x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is poor.",no +4297,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is sad. 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 rich.",no +4298,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is an artist. For all x, x will cook. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no +4299,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x is a police officer. For all x, x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +4300,predicate,inference,universal conjunction,unrelated,"Consider the following premises: For all x, x will play tennis. For all x, x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no +4301,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u will not read a book. For all u, the claim that u will read a book and the claim that u is fast cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u is fast.",no +4302,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v_1, the claim that v_1 will cook and the claim that v_1 will play a game cannot both be true. For all v_1, v_1 will not cook. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will play a game.",no +4303,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v_1, the claim that v_1 is an office clerk and the claim that v_1 is a soldier cannot both be true. For all v_1, v_1 is not an office clerk. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a soldier.",no +4304,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v is a soldier and the claim that v will make tea cannot both be true. For all v, v is not a soldier. Can we infer the following from them? Answer yes or no: For all v, v will make tea.",no +4305,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, the claim that z is a politician and the claim that z is a server cannot both be true. For all z, z is not a politician. Can we infer the following from them? Answer yes or no: For all z, z is a server.",no +4306,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u is a politician and the claim that u is a lawyer cannot both be true. For all u, u is not a politician. Can we infer the following from them? Answer yes or no: For all u, u is a lawyer.",no +4307,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u will not go running. For all u, the claim that u will go running 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, u will drink water.",no +4308,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v_1, the claim that v_1 will take a plane and the claim that v_1 is rich cannot both be true. For all v_1, v_1 will not take a plane. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is rich.",no +4309,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u is not a bartender. For all u, the claim that u is a bartender and the claim that u will play a game cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u will play a game.",no +4310,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, the claim that z will play squash and the claim that z is poor cannot both be true. For all z, z will not play squash. Can we infer the following from them? Answer yes or no: For all z, z is poor.",no +4311,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, z will not play a game. For all z, the claim that z will play a game and the claim that z will make tea cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z will make tea.",no +4312,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, z is not a server. For all z, the claim that z is a server and the claim that z is curious cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z is curious.",no +4313,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, v will not read a book. For all v, the claim that v will read a book and the claim that v will work cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v will work.",no +4314,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u will make tea and the claim that u will listen to a song cannot both be true. For all u, u will not make tea. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no +4315,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v_1, v_1 will not go running. For all v_1, the claim that v_1 will go running and the claim that v_1 is a soldier cannot both be true. Can we infer the following from them? Answer yes or no: For all v_1, v_1 is a soldier.",no +4316,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u_2, the claim that u_2 will play squash and the claim that u_2 is an astronaut cannot both be true. For all u_2, u_2 will not play squash. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is an astronaut.",no +4317,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u will not play squash. For all u, the claim that u will play squash and the claim that u will go running cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u will go running.",no +4318,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all x, the claim that x is a poet and the claim that x is a server cannot both be true. For all x, x is not a poet. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +4319,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, the claim that u is a nurse and the claim that u is a writer cannot both be true. For all u, u is not a nurse. Can we infer the following from them? Answer yes or no: For all u, u is a writer.",no +4320,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, z will not listen to a song. For all z, the claim that z will listen to a song and the claim that z is a sailor cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z is a sailor.",no +4321,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all z, z will not make tea. For all z, the claim that z will make tea and the claim that z is a writer cannot both be true. Can we infer the following from them? Answer yes or no: For all z, z is a writer.",no +4322,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, v will not make tea. For all v, the claim that v will make tea and the claim that v will work cannot both be true. Can we infer the following from them? Answer yes or no: For all v, v will work.",no +4323,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u_2, u_2 will not climb a mountain. For all u_2, the claim that u_2 will climb a mountain and the claim that u_2 is a musician cannot both be true. Can we infer the following from them? Answer yes or no: For all u_2, u_2 is a musician.",no +4324,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all v, the claim that v will listen to a song and the claim that v is an office clerk cannot both be true. For all v, v will not listen to a song. Can we infer the following from them? Answer yes or no: For all v, v is an office clerk.",no +4325,predicate,fallacy,universal denying a conjunct,inference,"Consider the following premises: For all u, u is not an office clerk. For all u, the claim that u is an office clerk and the claim that u will read a book cannot both be true. Can we infer the following from them? Answer yes or no: For all u, u will read a book.",no +4326,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z were a nurse, then z is a politician. For all z, z is not a nurse. Can we infer the following from them? Answer yes or no: For all z, z is not a politician.",no +4327,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not 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 not cook.",no +4328,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, if x were an electrician, then x is a cashier. For all x, x is not an electrician. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no +4329,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all w_3, w_3 will not read a book. For all w_3, if w_3 reads a book, then w_3 is writing a letter. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not write a letter.",no +4330,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, z is not an electrician. For all z, if z were an electrician, then z is playing tennis. Can we infer the following from them? Answer yes or no: For all z, z will not play tennis.",no +4331,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, if v listens to a song, then v is cooking. For all v, v will not listen to a song. Can we infer the following from them? Answer yes or no: For all v, v will not cook.",no +4332,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, if x were a nurse, then x is making tea. For all x, x is not a nurse. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no +4333,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, if v were a doctor, then v is driving a car. 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 drive a car.",no +4334,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, v will not play 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 not sad.",no +4335,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x will not cook. For all x, if x cooks, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is not a server.",no +4336,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, if v were a politician, then v is a taxi driver. For all v, v is not a politician. Can we infer the following from them? Answer yes or no: For all v, v is not a taxi driver.",no +4337,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, if v writes a letter, then v is taking a plane. For all v, v will not write a letter. Can we infer the following from them? Answer yes or no: For all v, v will not take a plane.",no +4338,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z were a lawyer, then z is sleeping. For all z, z is not a lawyer. Can we infer the following from them? Answer yes or no: For all z, z will not sleep.",no +4339,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not a carpenter. For all x, if x were a carpenter, 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 +4340,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, v will not write a letter. For all v, if v writes a letter, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, v will not play a game.",no +4341,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not a cashier. For all x, if x were a cashier, then x is excited. Can we infer the following from them? Answer yes or no: For all x, x is not excited.",no +4342,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, if x were a politician, then x is rich. 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 rich.",no +4343,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, if v drinks water, then v is cooking. For all v, v will not drink water. Can we infer the following from them? Answer yes or no: For all v, v will not cook.",no +4344,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all z, if z were happy, then z is an electrician. For all z, z is not happy. Can we infer the following from them? Answer yes or no: For all z, z is not an electrician.",no +4345,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all x, x is not a taxi driver. 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 will not drink water.",no +4346,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y, if y makes tea, then y is a politician. For all y, y will not make tea. Can we infer the following from them? Answer yes or no: For all y, y is not a politician.",no +4347,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all y, if y were a lawyer, then y is a doctor. For all y, y is not a lawyer. Can we infer the following from them? Answer yes or no: For all y, y is not a doctor.",no +4348,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, v will not cook. For all v, if v cooks, then v is a politician. Can we infer the following from them? Answer yes or no: For all v, v is not a politician.",no +4349,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 working. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no +4350,predicate,fallacy,universal denying the antecedent,inference,"Consider the following premises: For all v, v will not play a game. For all v, if v plays a game, then v is a carpenter. Can we infer the following from them? Answer yes or no: For all v, v is not a carpenter.",no +4351,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all u_3, u_3 will listen to a song or u_3 will cook. For all u_3, if u_3 cooks, then u_3 is taking a plane. For all u_3, if u_3 listens to a song, then u_3 is taking 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 not take a plane.",no +4352,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were an electrician, then x is bored. For all x, x is fast or x is an electrician. For all x, if x were fast, 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 +4353,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x_3, if x_3 were a politician, then x_3 is playing tennis. For all x_3, if x_3 takes a plane, then x_3 is playing tennis. For all x_3, x_3 is a politician or x_3 will take 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 play tennis.",no +4354,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all z, if z makes tea, then z is drinking water. For all z, z will make tea or z will drive a car. For all z, if z drives a car, 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 not drink water.",no +4355,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all u_3, u_3 is a doctor or u_3 will take a plane. For all u_3, if u_3 were a doctor, then u_3 is a cashier. For all u_3, if u_3 takes a plane, then u_3 is a cashier. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is not a cashier.",no +4356,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x will drink water or x will take a plane. For all x, if x takes a plane, then x is an artist. For all x, if x drinks water, 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 artist.",no +4357,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all v_3, v_3 will write a letter or v_3 will drive a car. For all v_3, if v_3 writes a letter, then v_3 is sleeping. For all v_3, if v_3 drives a car, then v_3 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not sleep.",no +4358,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x_3, if x_3 were a doctor, then x_3 is poor. For all x_3, if x_3 works, then x_3 is poor. For all x_3, x_3 is a doctor or x_3 will work. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 is not poor.",no +4359,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all z, z will play squash or z is poor. For all z, if z were poor, then z is a taxi driver. For all z, if z plays squash, then 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 not a taxi driver.",no +4360,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is a police officer. For all x, if x listens to a song, then x is a police officer. For all x, x is a scientist 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 not a police officer.",no +4361,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all z, if z writes a letter, then z is running. For all z, z will write a letter or z is sad. For all z, if z were sad, then z is running. Can we infer the following from them? Answer yes or no: There is at least one z for which z will not go running.",no +4362,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all u_3, if u_3 were a scientist, then u_3 is a cashier. For all u_3, if u_3 goes running, then u_3 is a cashier. For all u_3, u_3 will go running or 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 not a cashier.",no +4363,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all v_3, if v_3 cooks, then v_3 is sleeping. For all v_3, if v_3 were poor, then v_3 is sleeping. For all v_3, v_3 will cook or v_3 is poor. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not sleep.",no +4364,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were curious, then x is drinking water. For all x, if x takes a plane, then x is drinking water. For all x, x will take a plane 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 not drink water.",no +4365,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all v_3, if v_3 goes running, then v_3 is writing a letter. For all v_3, v_3 will go running or v_3 will take a plane. For all v_3, if v_3 takes a plane, then v_3 is writing 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 write a letter.",no +4366,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x_3, if x_3 were a mechanic, then x_3 is cooking. For all x_3, x_3 is a mechanic or x_3 is an astronaut. For all x_3, if x_3 were an astronaut, then x_3 is cooking. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not cook.",no +4367,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x_3, if x_3 were a server, then x_3 is cooking. For all x_3, if x_3 were excited, then x_3 is cooking. For all x_3, x_3 is a server or x_3 is excited. Can we infer the following from them? Answer yes or no: There is at least one x_3 for which x_3 will not cook.",no +4368,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all u_3, u_3 is a poet or u_3 will take a plane. For all u_3, if u_3 were a poet, then u_3 is an office clerk. For all u_3, if u_3 takes a plane, then u_3 is an office clerk. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is not an office clerk.",no +4369,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x_3, x_3 will cook or x_3 will take a plane. For all x_3, if x_3 takes a plane, then x_3 is an electrician. For all x_3, if x_3 cooks, then 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 not an electrician.",no +4370,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 works, then x is making tea. For all x, x will work 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 +4371,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x were a mechanic, then x is a politician. For all x, if x were fast, then x is a politician. For all x, x is a mechanic 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 not a politician.",no +4372,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is a lawyer or x is a soldier. For all x, if x were a lawyer, then x is cooking. For all x, if x were a soldier, 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 +4373,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, x is fast or x will write a letter. For all x, if x were fast, then x is playing squash. 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 +4374,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all x, if x plays a game, then x is a scientist. For all x, if x were a lawyer, then x is a scientist. For all x, x will play a game 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 scientist.",no +4375,predicate,inference,universal disjunction elimination,contradiction,"Consider the following premises: For all u_3, if u_3 were a lawyer, then u_3 is making tea. For all u_3, if u_3 were a doctor, then u_3 is making tea. For all u_3, u_3 is a doctor or u_3 is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 will not make tea.",no +4376,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were sad, then x is an office clerk. For all x, x is sad or x will go running. For all x, if x goes running, then 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 +4377,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x plays tennis, then x is a soldier. For all x, if x were a taxi driver, then x is a soldier. For all x, x will play tennis or x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",yes +4378,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were curious, then x is a server. For all x, if x drinks water, then x is a server. For all x, x will drink water or x is curious. Can we infer the following from them? Answer yes or no: For all x, x is a server.",yes +4379,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, if z_4 were a writer, then z_4 is listening to a song. For all z_4, z_4 will make tea or z_4 is a writer. For all z_4, if z_4 makes tea, then z_4 is listening to a song. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will listen to a song.",yes +4380,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, z_4 will play a game or z_4 will work. For all z_4, if z_4 plays a game, then z_4 is cooking. For all z_4, if z_4 works, then z_4 is cooking. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will cook.",yes +4381,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will play tennis or x will play a game. For all x, if x plays a game, then x is fast. For all x, if x plays tennis, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast.",yes +4382,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 climbs a mountain, then u_4 is running. For all u_4, u_4 will climb a mountain or u_4 is rich. For all u_4, if u_4 were rich, 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 +4383,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, if z_4 drinks water, then z_4 is climbing a mountain. For all z_4, if z_4 were happy, then z_4 is climbing a mountain. For all z_4, z_4 will drink water or z_4 is happy. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will climb a mountain.",yes +4384,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 were poor, then u_4 is a sailor. For all u_4, u_4 is poor or u_4 will go running. For all u_4, if u_4 goes running, then u_4 is a sailor. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is a sailor.",yes +4385,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 were bored, then u_4 is excited. For all u_4, if u_4 makes tea, then u_4 is excited. For all u_4, u_4 is bored or u_4 will make tea. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is excited.",yes +4386,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will sleep or x will take a plane. For all x, if x takes a plane, then x is a police officer. For all x, if x sleeps, 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 +4387,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x goes running, then x is a bartender. For all x, x is a carpenter or x will go running. For all x, if x were a carpenter, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",yes +4388,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, if z_4 goes running, then z_4 is drinking water. For all z_4, z_4 will go running or z_4 will write a letter. For all z_4, if z_4 writes a letter, then z_4 is drinking water. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will drink water.",yes +4389,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x were a police officer, then x is taking a plane. For all x, x is a bartender or x is a police officer. For all x, if x were a bartender, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",yes +4390,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x_1, x_1 is bored or x_1 is a carpenter. For all x_1, if x_1 were bored, then x_1 is a lawyer. For all x_1, if x_1 were a carpenter, then x_1 is a lawyer. Can we infer the following from them? Answer yes or no: For all x_1, x_1 is a lawyer.",yes +4391,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will play squash or x is a doctor. For all x, if x plays squash, then x is making tea. For all x, if x were a doctor, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes +4392,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 sleeps, then u_4 is running. For all u_4, if u_4 plays a game, then u_4 is running. For all u_4, u_4 will sleep or u_4 will play a game. Can we infer the following from them? Answer yes or no: For all u_4, u_4 will go running.",yes +4393,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, if x plays tennis, then x is a mechanic. For all x, if x plays squash, then x is a mechanic. For all x, x will play tennis or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes +4394,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, z_4 is a police officer or z_4 is a cashier. For all z_4, if z_4 were a cashier, then z_4 is making tea. For all z_4, if z_4 were a police officer, then z_4 is making tea. Can we infer the following from them? Answer yes or no: For all z_4, z_4 will make tea.",yes +4395,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 were bored, then u_4 is an office clerk. For all u_4, if u_4 were a carpenter, then u_4 is an office clerk. For all u_4, u_4 is bored or u_4 is a carpenter. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is an office clerk.",yes +4396,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all z_4, if z_4 reads a book, then z_4 is a nurse. For all z_4, if z_4 were a sailor, then z_4 is a nurse. For all z_4, z_4 will read a book or z_4 is a sailor. Can we infer the following from them? Answer yes or no: For all z_4, z_4 is a nurse.",yes +4397,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all u_4, if u_4 were an office clerk, then u_4 is bored. For all u_4, if u_4 were a nurse, then u_4 is bored. For all u_4, u_4 is a nurse or u_4 is an office clerk. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is bored.",yes +4398,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will make tea or x will drive a car. For all x, if x makes tea, then x is bored. For all x, if x drives a car, then x is bored. Can we infer the following from them? Answer yes or no: For all x, x is bored.",yes +4399,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x_1, x_1 is rich or x_1 will read a book. For all x_1, if x_1 were rich, then x_1 is playing squash. For all x_1, if x_1 reads a book, then x_1 is playing squash. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will play squash.",yes +4400,predicate,inference,universal disjunction elimination,inference,"Consider the following premises: For all x, x will cook or x is an electrician. For all x, if x cooks, then x is a server. For all x, if x were an electrician, then x is a server. Can we infer the following from them? Answer yes or no: For all x, x is a server.",yes +4401,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will sleep or x is a politician. For all x, if x sleeps, then x is cooking. For all x, if x were a politician, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +4402,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x_4, if x_4 were a janitor, then x_4 is climbing a mountain. For all x_4, x_4 is a cashier or x_4 is a janitor. For all x_4, if x_4 were a cashier, then x_4 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is an office clerk.",no +4403,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, u will cook or u will listen to a song. For all u, if u listens to a song, then u is curious. For all u, if u cooks, then u is curious. Can we infer the following from them? Answer yes or no: For all u, u will read a book.",no +4404,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is an astronaut. For all x, x is excited or x is a doctor. For all x, if x were excited, then x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",no +4405,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x_4, if x_4 were a scientist, then x_4 is playing tennis. For all x_4, x_4 is rich or x_4 is a scientist. For all x_4, if x_4 were rich, then x_4 is playing tennis. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will play a game.",no +4406,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, u is a musician or u is an office clerk. For all u, if u were an office clerk, then u is playing tennis. For all u, if u were a musician, then u is playing tennis. Can we infer the following from them? Answer yes or no: For all u, u is a janitor.",no +4407,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x_4, if x_4 drives a car, then x_4 is taking a plane. For all x_4, x_4 will drive a car or x_4 is poor. For all x_4, if x_4 were poor, then x_4 is taking a plane. Can we infer the following from them? Answer yes or no: For all x_4, x_4 will write a letter.",no +4408,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, if u were a carpenter, then u is a server. For all u, u is a carpenter or u is excited. For all u, if u were excited, then u is a server. Can we infer the following from them? Answer yes or no: For all u, u is an astronaut.",no +4409,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were poor, then x is writing a letter. For all x, x is a lawyer or x is poor. For all x, if x were a lawyer, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no +4410,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were poor, then x is cooking. For all x, x will play tennis or x is poor. 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 work.",no +4411,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x_4, if x_4 were a mechanic, then x_4 is taking a plane. For all x_4, if x_4 climbs a mountain, then x_4 is taking a plane. For all x_4, x_4 is a mechanic or x_4 will climb a mountain. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is excited.",no +4412,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x_4, x_4 will play tennis or x_4 is bored. For all x_4, if x_4 plays tennis, then x_4 is a sailor. For all x_4, if x_4 were bored, then x_4 is a sailor. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is curious.",no +4413,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, u is happy or u is a writer. For all u, if u were happy, then u is cooking. For all u, if u were a writer, then u is cooking. Can we infer the following from them? Answer yes or no: For all u, u will work.",no +4414,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, if u plays tennis, then u is sleeping. For all u, u will play tennis or u will cook. For all u, if u cooks, then u is sleeping. Can we infer the following from them? Answer yes or no: For all u, u is a cashier.",no +4415,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is cooking. For all x, x will play tennis or x will work. For all x, if x works, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no +4416,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a nurse, then x is a police officer. For all x, x is a nurse or x will write a letter. For all x, 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, x will climb a mountain.",no +4417,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a bartender, then x is a politician. For all x, if x were poor, then x is a politician. For all x, x is poor or x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",no +4418,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x will take a plane or x is a scientist. For all x, if x were a scientist, then x is a sailor. For all x, if x takes a plane, then x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no +4419,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, x is a poet or x will play a game. For all x, if x were a poet, 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: For all x, x will write a letter.",no +4420,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x plays tennis, then x is making tea. For all x, if x were bored, then x is making tea. For all x, x will play tennis or x is bored. Can we infer the following from them? Answer yes or no: For all x, x will read a book.",no +4421,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, if u were a cashier, then u is sleeping. For all u, if u were excited, then u is sleeping. For all u, u is excited or u is a cashier. Can we infer the following from them? Answer yes or no: For all u, u will make tea.",no +4422,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is writing a letter. For all x, x is a doctor or 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: For all x, x will play a game.",no +4423,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all u, if u plays squash, then u is a carpenter. For all u, if u were a police officer, then u is a carpenter. For all u, u is a police officer or u will play squash. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",no +4424,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were sad, then x is playing tennis. For all x, if x were a poet, then x is playing tennis. For all x, x is a poet or x is sad. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +4425,predicate,inference,universal disjunction elimination,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is a server. For all x, if x were a politician, then x is a server. For all x, x is a politician or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +4426,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is poor or v will write a letter. For all v, v is not poor. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not write a letter.",no +4427,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is an astronaut or w will drive a car. For all w, w is not an astronaut. 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 +4428,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is a doctor or v will make tea. For all v, v is not a doctor. 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 +4429,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will not work. For all v, v will work or v will cook. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not cook.",no +4430,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will read a book or w is a carpenter. 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 a carpenter.",no +4431,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not read a book. For all x, x will read a book 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 +4432,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all z, z will not sleep. For all z, z will 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 is not an artist.",no +4433,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is not excited. For all v, v is excited or v will work. Can we infer the following from them? Answer yes or no: There is at least one v for which v will not work.",no +4434,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all y_1, y_1 is an office clerk or y_1 is a lawyer. For all y_1, y_1 is not an office clerk. 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 +4435,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will climb a mountain or w is a carpenter. For all w, w will not 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 carpenter.",no +4436,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is a taxi driver or w will listen to a song. 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 will not listen to a song.",no +4437,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all y_1, y_1 is a nurse or y_1 is happy. For all y_1, y_1 is not 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 not happy.",no +4438,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is not a poet. For all v, v is a poet 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 v will not play a game.",no +4439,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v is not an artist. For all v, v is an artist or v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not bored.",no +4440,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all z, z will work or z will go running. 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 will not go running.",no +4441,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is not poor. For all z, z is poor 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 is not a politician.",no +4442,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will not go running. For all w, w will go running or w is an electrician. 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 +4443,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w is a server or w will make tea. 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 not make tea.",no +4444,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all y_1, y_1 is an office clerk or y_1 is a musician. For all y_1, y_1 is not an office clerk. 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 +4445,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x is not an artist. For all x, x is an artist 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 +4446,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all w, w will cook or w will drink water. For all w, w will not cook. Can we infer the following from them? Answer yes or no: There is at least one w for which w will not drink water.",no +4447,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all z, z is poor or z will take a plane. For all z, z is not poor. 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 +4448,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not work. For all x, x will work 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 +4449,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all x, x will not drive a car. For all x, 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 x will not drink water.",no +4450,predicate,inference,universal disjunctive syllogism,contradiction,"Consider the following premises: For all v, v will drive a car or v is a poet. For all v, v will not drive a car. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a poet.",no +4451,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will write a letter or x is a taxi driver. For all x, x will not write a letter. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",yes +4452,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 will not sleep. For all y_3, y_3 will sleep or y_3 is a scientist. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a scientist.",yes +4453,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play tennis or x is curious. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x is curious.",yes +4454,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not work. For all x, x will work or x is fast. Can we infer the following from them? Answer yes or no: For all x, x is fast.",yes +4455,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not listen to a song. For all x, 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 write a letter.",yes +4456,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 is not a soldier. For all y_3, y_3 is a soldier or y_3 is a scientist. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a scientist.",yes +4457,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will cook or x is an office clerk. For all x, x will not cook. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",yes +4458,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not sleep. For all x, x will sleep or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes +4459,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play tennis or x will sleep. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes +4460,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a mechanic or x is a politician. For all x, x is not a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",yes +4461,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, 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 cook.",yes +4462,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will climb a mountain or x is a taxi driver. 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 a taxi driver.",yes +4463,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play squash or x will make tea. For all x, x will not play squash. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes +4464,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is a doctor or x is an electrician. For all x, x is not a doctor. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",yes +4465,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 is not rich. For all y_3, y_3 is rich or y_3 will make tea. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will make tea.",yes +4466,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will not cook. 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.",yes +4467,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 is bored or y_3 is a scientist. For all y_3, y_3 is not bored. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is a scientist.",yes +4468,predicate,inference,universal disjunctive syllogism,inference,"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. Can we infer the following from them? Answer yes or no: For all x, x is a police officer.",yes +4469,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x will play tennis or x is a mechanic. For all x, x will not play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes +4470,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 is not excited. For all y_3, y_3 is excited or y_3 is sad. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is sad.",yes +4471,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a janitor. For all x, x is a janitor or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes +4472,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not a scientist. For all x, x is a scientist or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes +4473,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all x, x is not an artist. For all x, x is an artist 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 +4474,predicate,inference,universal disjunctive syllogism,inference,"Consider the following premises: For all y_3, y_3 is not a soldier. For all y_3, y_3 is a soldier or y_3 will cook. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will cook.",yes +4475,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 sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes +4476,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is sad or x is an astronaut. For all x, x is not sad. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no +4477,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is a soldier or z will play tennis. For all z, z is not a soldier. Can we infer the following from them? Answer yes or no: For all z, z is rich.",no +4478,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is a police officer or x is excited. 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 not a scientist.",no +4479,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a janitor. For all x, x is a janitor or 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 +4480,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not a cashier. For all x, x is a cashier or x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no +4481,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not play a game. For all x, x will play a game or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +4482,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is not bored. For all z, z is bored or z will sleep. Can we infer the following from them? Answer yes or no: For all z, z will not read a book.",no +4483,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x is not sad. For all x, x is sad or x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +4484,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will not work. For all z, z will work or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z is a cashier.",no +4485,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is a doctor or z is a sailor. For all z, z is not a doctor. Can we infer the following from them? Answer yes or no: For all z, z will not play tennis.",no +4486,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will not make tea. For all z, z will make tea or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, z is not excited.",no +4487,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will play squash or x will cook. 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 mechanic.",no +4488,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not poor.",no +4489,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not listen to a song. For all x, x will listen to a song or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no +4490,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will not go running. For all z, z will go running or z is excited. Can we infer the following from them? Answer yes or no: For all z, z is not a lawyer.",no +4491,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will drink water or z is a taxi driver. For all z, z will not drink water. Can we infer the following from them? Answer yes or no: For all z, z is not a bartender.",no +4492,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not make tea. For all x, x will make tea or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +4493,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will write a letter or z is curious. For all z, z will not write a letter. Can we infer the following from them? Answer yes or no: For all z, z is a nurse.",no +4494,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z will not play tennis. For all z, z will play tennis or z is rich. Can we infer the following from them? Answer yes or no: For all z, z is happy.",no +4495,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 is rich. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no +4496,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will make tea or x is a bartender. 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 an artist.",no +4497,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all z, z is not sad. For all z, z is sad or z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, z will not write a letter.",no +4498,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will play tennis or x is a nurse. 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 drive a car.",no +4499,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not sleep. For all x, x will sleep or x will take a plane. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4500,predicate,inference,universal disjunctive syllogism,unrelated,"Consider the following premises: For all x, x will not sleep. 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 politician.",no +4501,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will play a game, 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 neither x will play a game and x will cook nor x will play a game and x will climb a mountain.",no +4502,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is fast, or x is a scientist and 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 is fast or x is a scientist and the claim that x is fast or x is an artist cannot both be true.",no +4503,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will drink water, and either x will make tea 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 drink water and x will make tea nor x will drink water and x will play tennis.",no +4504,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all v, v will write a letter, or v is excited and v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which the claim that v will write a letter or v is excited and the claim that v will write a letter or v is bored cannot both be true.",no +4505,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is curious, and either x will drive a car 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 is curious and x will drive a car nor x is curious and x will take a plane.",no +4506,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is an artist, and either x will climb a mountain 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 an artist and x will climb a mountain nor x is an artist and x is bored.",no +4507,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will play tennis, and either x will drink water 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 play tennis and x will drink water nor x will play tennis and x is a scientist.",no +4508,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is sad, 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 is sad or x will play a game and the claim that x is sad or x is curious cannot both be true.",no +4509,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all v, v will sleep, or v is a taxi driver and 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 will sleep or v is a taxi driver and the claim that v will sleep or v is sad cannot both be true.",no +4510,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z will listen to a song, and either z is an astronaut or z is a nurse. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will listen to a song and z is an astronaut nor z will listen to a song and z is a nurse.",no +4511,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all u_4, u_4 will drive a car, and either u_4 will go running or u_4 will cook. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which neither u_4 will drive a car and u_4 will go running nor u_4 will drive a car and u_4 will cook.",no +4512,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a doctor, and either 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 is a doctor and x is a politician nor x is a doctor and x will take a plane.",no +4513,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a doctor, and either x will climb a mountain 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 is a doctor and x will climb a mountain nor x is a doctor and x will work.",no +4514,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a sailor, or x is excited 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 sailor or x is excited and the claim that x is a sailor or x is a bartender cannot both be true.",no +4515,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will work, or x is sad 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 will work or x is sad and the claim that x will work or x is a politician cannot both be true.",no +4516,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will climb a mountain, or x will play tennis 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 climb a mountain or x will play tennis and the claim that x will climb a mountain or x is a taxi driver cannot both be true.",no +4517,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all y, y will play tennis, or y is a nurse and 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 y will play tennis or y is a nurse and the claim that y will play tennis or y will sleep cannot both be true.",no +4518,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will read a book, or x is a carpenter and 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 will read a book or x is a carpenter and the claim that x will read a book or x is a cashier cannot both be true.",no +4519,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all v, v is a poet, or v will work 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 the claim that v is a poet or v will work and the claim that v is a poet or v will drive a car cannot both be true.",no +4520,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is a politician, and either x will climb a mountain 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 politician and x will climb a mountain nor x is a politician and x is an astronaut.",no +4521,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is an astronaut, and either x will 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 neither x is an astronaut and x will make tea nor x is an astronaut and x will listen to a song.",no +4522,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all z, z will write a letter, and either z will drive a car or z will drink water. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z will write a letter and z will drive a car nor z will write a letter and z will drink water.",no +4523,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x will drive a car, or x will sleep 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 will drive a car or x will sleep and the claim that x will drive a car or x is a bartender cannot both be true.",no +4524,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all v, v will write a letter, or v will take a plane 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 the claim that v will write a letter or v will take a plane and the claim that v will write a letter or v will drive a car cannot both be true.",no +4525,predicate,equivalent,universal distributive laws,contradiction,"Consider the following premises: For all x, x is an office clerk, or x will write a letter and 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 x is an office clerk or x will write a letter and the claim that x is an office clerk or x is a scientist cannot both be true.",no +4526,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is happy, or y will drive a car and y will go running. Can we infer the following from them? Answer yes or no: For all y, both y is happy or y will drive a car and y is happy or y will go running are true.",yes +4527,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will take a plane, or x is curious and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, both x will take a plane or x is curious and x will take a plane or x is a cashier are true.",yes +4528,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will climb a mountain, or x is a cashier and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, both x will climb a mountain or x is a cashier and x will climb a mountain or x will play tennis are true.",yes +4529,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is rich, or y is a cashier and y will take a plane. Can we infer the following from them? Answer yes or no: For all y, both y is rich or y is a cashier and y is rich or y will take a plane are true.",yes +4530,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all v_1, v_1 will climb a mountain, or v_1 is a janitor and v_1 is rich. Can we infer the following from them? Answer yes or no: For all v_1, both v_1 will climb a mountain or v_1 is a janitor and v_1 will climb a mountain or v_1 is rich are true.",yes +4531,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_1, z_1 is a mechanic, and either z_1 is a sailor or z_1 will take a plane. Can we infer the following from them? Answer yes or no: For all z_1, either z_1 is a mechanic and z_1 is a sailor, or z_1 is a mechanic and z_1 will take a plane.",yes +4532,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y will sleep, or y will climb a mountain and y will read a book. Can we infer the following from them? Answer yes or no: For all y, both y will sleep or y will climb a mountain and y will sleep or y will read a book are true.",yes +4533,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all v_1, v_1 is an artist, or v_1 will play a game and v_1 will sleep. Can we infer the following from them? Answer yes or no: For all v_1, both v_1 is an artist or v_1 will play a game and v_1 is an artist or v_1 will sleep are true.",yes +4534,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all v_1, v_1 is a carpenter, or v_1 will listen to a song and v_1 will drive a car. Can we infer the following from them? Answer yes or no: For all v_1, both v_1 is a carpenter or v_1 will listen to a song and v_1 is a carpenter or v_1 will drive a car are true.",yes +4535,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a mechanic, or x will read a book and x is a writer. Can we infer the following from them? Answer yes or no: For all x, both x is a mechanic or x will read a book and x is a mechanic or x is a writer are true.",yes +4536,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_1, z_1 is a writer, and either z_1 will go running or z_1 is a server. Can we infer the following from them? Answer yes or no: For all z_1, either z_1 is a writer and z_1 will go running, or z_1 is a writer and z_1 is a server.",yes +4537,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is fast, and either z is a lawyer or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, either z is fast and z is a lawyer, or z is fast and z will write a letter.",yes +4538,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is a taxi driver, and either z is a poet or z will write a letter. Can we infer the following from them? Answer yes or no: For all z, either z is a taxi driver and z is a poet, or z is a taxi driver and z will write a letter.",yes +4539,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z_1, z_1 is a taxi driver, and either z_1 will drink water or z_1 will climb a mountain. Can we infer the following from them? Answer yes or no: For all z_1, either z_1 is a taxi driver and z_1 will drink water, or z_1 is a taxi driver and z_1 will climb a mountain.",yes +4540,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play a game, and either x is excited or x will read a book. Can we infer the following from them? Answer yes or no: For all x, either x will play a game and x is excited, or x will play a game and x will read a book.",yes +4541,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all v_1, v_1 is rich, or v_1 is bored and v_1 will read a book. Can we infer the following from them? Answer yes or no: For all v_1, both v_1 is rich or v_1 is bored and v_1 is rich or v_1 will read a book are true.",yes +4542,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will play tennis, and either x is an artist or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, either x will play tennis and x is an artist, or x will play tennis and x is a cashier.",yes +4543,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all v_1, v_1 will climb a mountain, or v_1 is a musician and v_1 is curious. Can we infer the following from them? Answer yes or no: For all v_1, both v_1 will climb a mountain or v_1 is a musician and v_1 will climb a mountain or v_1 is curious are true.",yes +4544,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a janitor, or x is an artist and x will work. Can we infer the following from them? Answer yes or no: For all x, both x is a janitor or x is an artist and x is a janitor or x will work are true.",yes +4545,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all z, z is rich, or z is a writer and z will write a letter. Can we infer the following from them? Answer yes or no: For all z, both z is rich or z is a writer and z is rich or z will write a letter are true.",yes +4546,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is a sailor, or y will go running and y will play a game. Can we infer the following from them? Answer yes or no: For all y, both y is a sailor or y will go running and y is a sailor or y will play a game are true.",yes +4547,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x will read a book, and either x will go running or x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, either x will read a book and x will go running, or x will read a book and x is a lawyer.",yes +4548,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is fast, or x is an office clerk and x will take a plane. Can we infer the following from them? Answer yes or no: For all x, both x is fast or x is an office clerk and x is fast or x will take a plane are true.",yes +4549,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all y, y is happy, or y is a nurse and y will listen to a song. Can we infer the following from them? Answer yes or no: For all y, both y is happy or y is a nurse and y is happy or y will listen to a song are true.",yes +4550,predicate,equivalent,universal distributive laws,inference,"Consider the following premises: For all x, x is a carpenter, and either x is a cashier or x is an artist. Can we infer the following from them? Answer yes or no: For all x, either x is a carpenter and x is a cashier, or x is a carpenter and x is an artist.",yes +4551,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a soldier, or x will go running and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x is not a poet.",no +4552,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will cook, or x will drive a car and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +4553,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is an astronaut, and either x is a police officer or x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a lawyer.",no +4554,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will read a book, or x is happy and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no +4555,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will listen to a song, or x is a musician and x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will cook.",no +4556,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all z, z will cook, and either z is an electrician or z is curious. Can we infer the following from them? Answer yes or no: For all z, z will write a letter.",no +4557,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a cashier, or x will work and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no +4558,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is happy, or x will sleep and x will read a book. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4559,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is bored, or x is a scientist and x is curious. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no +4560,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a poet, and either x will work 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 +4561,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all z, z is curious, and either z will read a book or z is a scientist. Can we infer the following from them? Answer yes or no: For all z, z will sleep.",no +4562,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a musician, or x is a cashier and x will write a letter. Can we infer the following from them? Answer yes or no: For all x, x will not take a plane.",no +4563,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all z, z will play tennis, and either z is bored or z is a lawyer. Can we infer the following from them? Answer yes or no: For all z, z is not an artist.",no +4564,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is a lawyer, or x is an office clerk and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no +4565,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is an astronaut, or x is a soldier and x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no +4566,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will make tea, or x will drive a car and x is bored. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no +4567,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will take a plane, and either x will listen to a song 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 +4568,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is bored, and either x is a janitor or 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 +4569,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all z, z is a politician, or z is a writer and z is a bartender. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",no +4570,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will make tea, or x will sleep and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is not happy.",no +4571,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all z, z is a bartender, or z is a taxi driver and z is a musician. Can we infer the following from them? Answer yes or no: For all z, z will take a plane.",no +4572,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will write a letter, or x is a janitor and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x will not drink water.",no +4573,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all u, u is fast, or u is a janitor and u will make tea. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",no +4574,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x is an office clerk, or x is excited and x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no +4575,predicate,equivalent,universal distributive laws,unrelated,"Consider the following premises: For all x, x will play squash, or x will play tennis and x will climb a mountain. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +4576,predicate,inference,universal generalization,contradiction,Consider the following premises: Z is fast. Can we infer the following from them? Answer yes or no: There is at least one y for which y is not fast.,no +4577,predicate,inference,universal generalization,contradiction,Consider the following premises: W is a carpenter. 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 +4578,predicate,inference,universal generalization,contradiction,"Consider the following premises: X is an electrician. Can we infer the following from them? Answer yes or no: For all u, u is not an electrician.",no +4579,predicate,inference,universal generalization,contradiction,"Consider the following premises: W is a cashier. Can we infer the following from them? Answer yes or no: For all y, y is not a cashier.",no +4580,predicate,inference,universal generalization,contradiction,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 u for which u will not play a game.,no +4581,predicate,inference,universal generalization,contradiction,Consider the following premises: X is a poet. 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 +4582,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 +4583,predicate,inference,universal generalization,contradiction,Consider the following premises: Z is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play tennis.,no +4584,predicate,inference,universal generalization,contradiction,Consider the following premises: Z 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 +4585,predicate,inference,universal generalization,contradiction,Consider the following premises: Z is playing tennis. Can we infer the following from them? Answer yes or no: There is at least one y for which y will not play tennis.,no +4586,predicate,inference,universal generalization,contradiction,Consider the following premises: W is poor. Can we infer the following from them? Answer yes or no: There is at least one u for which u is not poor.,no +4587,predicate,inference,universal generalization,contradiction,"Consider the following premises: X 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 +4588,predicate,inference,universal generalization,contradiction,"Consider the following premises: V is playing tennis. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will not play tennis.",no +4589,predicate,inference,universal generalization,contradiction,"Consider the following premises: X 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 +4590,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: There is at least one y for which y will not listen to a song.,no +4591,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 w, w is not a doctor.",no +4592,predicate,inference,universal generalization,contradiction,Consider the following premises: W is curious. Can we infer the following from them? Answer yes or no: There is at least one z for which z is not curious.,no +4593,predicate,inference,universal generalization,contradiction,Consider the following premises: W is working. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not work.,no +4594,predicate,inference,universal generalization,contradiction,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 z for which z will not play a game.,no +4595,predicate,inference,universal generalization,contradiction,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 not work.,no +4596,predicate,inference,universal generalization,contradiction,"Consider the following premises: Z is making tea. Can we infer the following from them? Answer yes or no: For all w, w will not make tea.",no +4597,predicate,inference,universal generalization,contradiction,"Consider the following premises: X is a doctor. Can we infer the following from them? Answer yes or no: For all u, u is not a doctor.",no +4598,predicate,inference,universal generalization,contradiction,Consider the following premises: X is a janitor. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is not a janitor.,no +4599,predicate,inference,universal generalization,contradiction,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 not work.,no +4600,predicate,inference,universal generalization,contradiction,"Consider the following premises: X is poor. Can we infer the following from them? Answer yes or no: For all w, w is not poor.",no +4601,predicate,inference,universal generalization,inference,Consider the following premises: X 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 a police officer.,yes +4602,predicate,inference,universal generalization,inference,"Consider the following premises: X is taking a plane. Can we infer the following from them? Answer yes or no: For all y, y will take a plane.",yes +4603,predicate,inference,universal generalization,inference,"Consider the following premises: X is drinking water. Can we infer the following from them? Answer yes or no: For all y, y will drink water.",yes +4604,predicate,inference,universal generalization,inference,Consider the following premises: U 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 +4605,predicate,inference,universal generalization,inference,"Consider the following premises: V is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",yes +4606,predicate,inference,universal generalization,inference,Consider the following premises: X 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.,yes +4607,predicate,inference,universal generalization,inference,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 u_1 for which u_1 will take a plane.,yes +4608,predicate,inference,universal generalization,inference,"Consider the following premises: X is a taxi driver. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is a taxi driver.",yes +4609,predicate,inference,universal generalization,inference,Consider the following premises: Y_3 is sleeping. Can we infer the following from them? Answer yes or no: There is at least one v for which v will sleep.,yes +4610,predicate,inference,universal generalization,inference,"Consider the following premises: X is playing a game. Can we infer the following from them? Answer yes or no: For all y, y will play a game.",yes +4611,predicate,inference,universal generalization,inference,"Consider the following premises: V is a sailor. Can we infer the following from them? Answer yes or no: For all u, u is a sailor.",yes +4612,predicate,inference,universal generalization,inference,"Consider the following premises: V is a soldier. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",yes +4613,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 w_2, w_2 is a bartender.",yes +4614,predicate,inference,universal generalization,inference,Consider the following premises: X 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 doctor.,yes +4615,predicate,inference,universal generalization,inference,Consider the following premises: X is a scientist. Can we infer the following from them? Answer yes or no: There is at least one y for which y is a scientist.,yes +4616,predicate,inference,universal generalization,inference,"Consider the following premises: X_2 is a lawyer. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is a lawyer.",yes +4617,predicate,inference,universal generalization,inference,"Consider the following premises: X is rich. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is rich.",yes +4618,predicate,inference,universal generalization,inference,Consider the following premises: X is sleeping. Can we infer the following from them? Answer yes or no: There is at least one y for which y will sleep.,yes +4619,predicate,inference,universal generalization,inference,Consider the following premises: X is making tea. 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.,yes +4620,predicate,inference,universal generalization,inference,"Consider the following premises: X is a mechanic. Can we infer the following from them? Answer yes or no: For all y, y is a mechanic.",yes +4621,predicate,inference,universal generalization,inference,"Consider the following premises: X is reading a book. Can we infer the following from them? Answer yes or no: For all y, y will read a book.",yes +4622,predicate,inference,universal generalization,inference,Consider the following premises: U is playing 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 +4623,predicate,inference,universal generalization,inference,Consider the following premises: X is climbing a mountain. Can we infer the following from them? Answer yes or no: There is at least one y for which y will climb a mountain.,yes +4624,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 +4625,predicate,inference,universal generalization,inference,Consider the following premises: X 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 +4626,predicate,inference,universal generalization,unrelated,Consider the following premises: X is a lawyer. Can we infer the following from them? Answer yes or no: Patricia is not playing a game.,no +4627,predicate,inference,universal generalization,unrelated,"Consider the following premises: X is running. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",no +4628,predicate,inference,universal generalization,unrelated,Consider the following premises: X is drinking water. Can we infer the following from them? Answer yes or no: Joseph is not making tea.,no +4629,predicate,inference,universal generalization,unrelated,Consider the following premises: W_2 is a cashier. Can we infer the following from them? Answer yes or no: Sarah is working.,no +4630,predicate,inference,universal generalization,unrelated,"Consider the following premises: X is a musician. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",no +4631,predicate,inference,universal generalization,unrelated,Consider the following premises: X is reading a book. Can we infer the following from them? Answer yes or no: Barbara is climbing a mountain.,no +4632,predicate,inference,universal generalization,unrelated,Consider the following premises: X is sad. Can we infer the following from them? Answer yes or no: Patricia is not sleeping.,no +4633,predicate,inference,universal generalization,unrelated,Consider the following premises: X is writing a letter. Can we infer the following from them? Answer yes or no: Barbara is not making tea.,no +4634,predicate,inference,universal generalization,unrelated,Consider the following premises: X is a cashier. Can we infer the following from them? Answer yes or no: Linda is a police officer.,no +4635,predicate,inference,universal generalization,unrelated,Consider the following premises: X is listening to a song. Can we infer the following from them? Answer yes or no: Richard is not curious.,no +4636,predicate,inference,universal generalization,unrelated,"Consider the following premises: X is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",no +4637,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: Susan is reading a book.,no +4638,predicate,inference,universal generalization,unrelated,Consider the following premises: U is fast. Can we infer the following from them? Answer yes or no: Michael is not driving a car.,no +4639,predicate,inference,universal generalization,unrelated,Consider the following premises: Z is a scientist. Can we infer the following from them? Answer yes or no: William is a writer.,no +4640,predicate,inference,universal generalization,unrelated,Consider the following premises: W is working. Can we infer the following from them? Answer yes or no: William is not excited.,no +4641,predicate,inference,universal generalization,unrelated,"Consider the following premises: U is playing squash. Can we infer the following from them? Answer yes or no: For all u, u is a doctor.",no +4642,predicate,inference,universal generalization,unrelated,Consider the following premises: X is an artist. Can we infer the following from them? Answer yes or no: Thomas is taking a plane.,no +4643,predicate,inference,universal generalization,unrelated,"Consider the following premises: W is taking a plane. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",no +4644,predicate,inference,universal generalization,unrelated,"Consider the following premises: X is sad. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +4645,predicate,inference,universal generalization,unrelated,Consider the following premises: X is working. Can we infer the following from them? Answer yes or no: Jennifer is cooking.,no +4646,predicate,inference,universal generalization,unrelated,Consider the following premises: X is writing a letter. Can we infer the following from them? Answer yes or no: John is not a mechanic.,no +4647,predicate,inference,universal generalization,unrelated,Consider the following premises: X is making tea. Can we infer the following from them? Answer yes or no: Elisabeth is a carpenter.,no +4648,predicate,inference,universal generalization,unrelated,Consider the following premises: W_2 is playing a game. Can we infer the following from them? Answer yes or no: Linda is not taking a plane.,no +4649,predicate,inference,universal generalization,unrelated,"Consider the following premises: X is a janitor. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",no +4650,predicate,inference,universal generalization,unrelated,Consider the following premises: W_2 is happy. Can we infer the following from them? Answer yes or no: John is not listening to a song.,no +4651,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_3, y_3 will listen to a song or y_3 will listen to a song. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will not listen to a song.",no +4652,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_3, w_3 is excited 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 +4653,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will drive a car 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 +4654,predicate,equivalent,universal idempotent laws,contradiction,"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: There is at least one x for which x will not go running.",no +4655,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x will cook 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 cook.",no +4656,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_3, y_3 will drive a car or y_3 will drive a car. Can we infer the following from them? Answer yes or no: There is at least one y_3 for which y_3 will not drive a car.",no +4657,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will play tennis and 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 play tennis.",no +4658,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_3, w_3 is an office clerk 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 +4659,predicate,equivalent,universal idempotent laws,contradiction,"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: There is at least one x for which x will not play squash.",no +4660,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, 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 not listen to a song.",no +4661,predicate,equivalent,universal idempotent laws,contradiction,"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: There is at least one x for which x is not a soldier.",no +4662,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_4, y_4 is a police officer or y_4 is a police officer. 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 police officer.",no +4663,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will read a book or 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 +4664,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 +4665,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y_4, y_4 will play squash or y_4 will play squash. 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 squash.",no +4666,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will take a plane 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 not take a plane.",no +4667,predicate,equivalent,universal idempotent laws,contradiction,"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: There is at least one z for which z will not sleep.",no +4668,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, x is fast 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 not fast.",no +4669,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all z, 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 not play squash.",no +4670,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all u, u will cook or u will cook. Can we infer the following from them? Answer yes or no: There is at least one u for which u will not cook.",no +4671,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all w_3, w_3 will take a plane and w_3 will 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 will not take a plane.",no +4672,predicate,equivalent,universal idempotent laws,contradiction,"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: There is at least one x for which x will not sleep.",no +4673,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y, 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 not listen to a song.",no +4674,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all y, y is a nurse and y is a nurse. 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 +4675,predicate,equivalent,universal idempotent laws,contradiction,"Consider the following premises: For all x, 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 is not a doctor.",no +4676,predicate,equivalent,universal idempotent laws,inference,"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: For all x, x will cook.",yes +4677,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u_1, u_1 will play tennis or u_1 will play tennis. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will play tennis.",yes +4678,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_2, z_2 will sleep or z_2 will sleep. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will sleep.",yes +4679,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all v_4, v_4 will make tea and v_4 will make tea. Can we infer the following from them? Answer yes or no: For all v_4, v_4 will make tea.",yes +4680,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 +4681,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is an astronaut or x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x is an astronaut.",yes +4682,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u, u will go running or u will go running. Can we infer the following from them? Answer yes or no: For all u, u will go running.",yes +4683,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z is a soldier or z is a soldier. Can we infer the following from them? Answer yes or no: For all z, z is a soldier.",yes +4684,predicate,equivalent,universal idempotent laws,inference,"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: For all x, x will climb a mountain.",yes +4685,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z will sleep or z will sleep. Can we infer the following from them? Answer yes or no: For all z, z will sleep.",yes +4686,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all y_3, y_3 will listen to a song and 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.",yes +4687,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 +4688,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 +4689,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x is a scientist and x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x is a scientist.",yes +4690,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, x will read a book and 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 +4691,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, z is a carpenter or z is a carpenter. Can we infer the following from them? Answer yes or no: For all z, z is a carpenter.",yes +4692,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all y_3, y_3 will make tea or y_3 will make tea. Can we infer the following from them? Answer yes or no: For all y_3, y_3 will make tea.",yes +4693,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u_1, u_1 will play squash or u_1 will play squash. Can we infer the following from them? Answer yes or no: For all u_1, u_1 will play squash.",yes +4694,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all y_3, y_3 is fast and y_3 is fast. Can we infer the following from them? Answer yes or no: For all y_3, y_3 is fast.",yes +4695,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z, 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 listen to a song.",yes +4696,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 +4697,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all y, y is a musician or y is a musician. Can we infer the following from them? Answer yes or no: For all y, y is a musician.",yes +4698,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all u_1, u_1 is a sailor or u_1 is a sailor. Can we infer the following from them? Answer yes or no: For all u_1, u_1 is a sailor.",yes +4699,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all z_2, z_2 will play a game or z_2 will play a game. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will play a game.",yes +4700,predicate,equivalent,universal idempotent laws,inference,"Consider the following premises: For all x, 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 play a game.",yes +4701,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is happy or x is happy. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no +4702,predicate,equivalent,universal idempotent laws,unrelated,"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: For all u, u is rich.",no +4703,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is happy or x is happy. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +4704,predicate,equivalent,universal idempotent laws,unrelated,"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 not play a game.",no +4705,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all y, y is a writer and y is a writer. Can we infer the following from them? Answer yes or no: For all y, y is not an astronaut.",no +4706,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_1, v_1 is a soldier and v_1 is a soldier. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will not drive a car.",no +4707,predicate,equivalent,universal idempotent laws,unrelated,"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 police officer.",no +4708,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x will make tea and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will not work.",no +4709,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u will drink water and u will drink water. Can we infer the following from them? Answer yes or no: For all u, u will play tennis.",no +4710,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x will work and x will work. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +4711,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x will play a game or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",no +4712,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u will take a plane and u will take a plane. Can we infer the following from them? Answer yes or no: For all u, u is a bartender.",no +4713,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a politician or x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",no +4714,predicate,equivalent,universal idempotent laws,unrelated,"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: For all x, x is an office clerk.",no +4715,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is an office clerk or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no +4716,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x will work and x will work. Can we infer the following from them? Answer yes or no: For all x, x is not a scientist.",no +4717,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u_4, u_4 will cook or u_4 will cook. Can we infer the following from them? Answer yes or no: For all u_4, u_4 is not fast.",no +4718,predicate,equivalent,universal idempotent laws,unrelated,"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: For all x, x will not take a plane.",no +4719,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is a police officer or x is a police officer. Can we infer the following from them? Answer yes or no: For all x, x is curious.",no +4720,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, 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 is not a carpenter.",no +4721,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all v_1, v_1 will work and v_1 will work. Can we infer the following from them? Answer yes or no: For all v_1, v_1 will play tennis.",no +4722,predicate,equivalent,universal idempotent laws,unrelated,"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 cook.",no +4723,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x will read a book or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",no +4724,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all x, x is curious and x is curious. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no +4725,predicate,equivalent,universal idempotent laws,unrelated,"Consider the following premises: For all u, u is a soldier and u is a soldier. Can we infer the following from them? Answer yes or no: For all u, u is an electrician.",no +4726,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z were a doctor, then z is an artist. Can we infer the following from them? Answer yes or no: For all z, if z were an artist, then z is a doctor.",no +4727,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all u, if u were a nurse, then u is an astronaut. Can we infer the following from them? Answer yes or no: For all u, if u were an astronaut, then u is a nurse.",no +4728,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z were sad, 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 sad.",no +4729,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were an office clerk, then x is working. Can we infer the following from them? Answer yes or no: For all x, if x works, then x is an office clerk.",no +4730,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y_1, if y_1 were a sailor, then y_1 is running. Can we infer the following from them? Answer yes or no: For all y_1, if y_1 goes running, then y_1 is a sailor.",no +4731,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all u, if u drives a car, then u is a doctor. Can we infer the following from them? Answer yes or no: For all u, if u were a doctor, then u is driving a car.",no +4732,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x plays squash, then x is sleeping. Can we infer the following from them? Answer yes or no: For all x, if x sleeps, then x is playing squash.",no +4733,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z were a scientist, then z is a politician. Can we infer the following from them? Answer yes or no: For all z, if z were a politician, then z is a scientist.",no +4734,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a cashier, 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 cashier.",no +4735,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x plays a game, 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 a game.",no +4736,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a bartender, then w is listening to a song. Can we infer the following from them? Answer yes or no: For all w, if w listens to a song, then w is a bartender.",no +4737,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a poet, 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 a poet.",no +4738,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z plays tennis, then z is drinking water. Can we infer the following from them? Answer yes or no: For all z, if z drinks water, then z is playing tennis.",no +4739,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x writes a letter, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, if x were a scientist, then x is writing a letter.",no +4740,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were a politician, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, if x writes a letter, then x is a politician.",no +4741,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x cooks, 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 cooking.",no +4742,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all u, if u goes running, then u is cooking. Can we infer the following from them? Answer yes or no: For all u, if u cooks, then u is running.",no +4743,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x cooks, 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 cooking.",no +4744,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z drives a car, then z is working. Can we infer the following from them? Answer yes or no: For all z, if z works, then z is driving a car.",no +4745,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all z, if z reads a book, then z is a carpenter. Can we infer the following from them? Answer yes or no: For all z, if z were a carpenter, then z is reading a book.",no +4746,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all w, if w were a politician, then w is a bartender. Can we infer the following from them? Answer yes or no: For all w, if w were a bartender, then w is a politician.",no +4747,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all u, if u were rich, then u is a sailor. Can we infer the following from them? Answer yes or no: For all u, if u were a sailor, then u is rich.",no +4748,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x were an office clerk, 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 an office clerk.",no +4749,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all y_1, if y_1 makes tea, then y_1 is curious. Can we infer the following from them? Answer yes or no: For all y_1, if y_1 were curious, then y_1 is making tea.",no +4750,predicate,fallacy,universal illicit commutativity,inference,"Consider the following premises: For all x, if x reads a book, 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 reading a book.",no +4751,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: Z is not making tea.",no +4752,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: Y is not listening to a song.",no +4753,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: W_2 is not playing squash.",no +4754,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u, u will drive a car. Can we infer the following from them? Answer yes or no: Y_2 is not driving a car.",no +4755,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: Jennifer is not playing a game.",no +4756,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: Y is not a janitor.",no +4757,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u, u will take a plane. Can we infer the following from them? Answer yes or no: Y_2 is not taking a plane.",no +4758,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_1, u_1 will play squash. Can we infer the following from them? Answer yes or no: James is not playing squash.",no +4759,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all v_2, v_2 will go running. Can we infer the following from them? Answer yes or no: Y is not running.",no +4760,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u, u is a musician. Can we infer the following from them? Answer yes or no: James is not a musician.",no +4761,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all y, y will go running. Can we infer the following from them? Answer yes or no: Patricia is not running.",no +4762,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w is a server. Can we infer the following from them? Answer yes or no: James is not a server.",no +4763,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x will sleep. Can we infer the following from them? Answer yes or no: W_2 is not sleeping.",no +4764,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: Z is not driving a car.",no +4765,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x_3, x_3 is a politician. Can we infer the following from them? Answer yes or no: Michael is not a politician.",no +4766,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_1, u_1 is a writer. Can we infer the following from them? Answer yes or no: Sarah is not a writer.",no +4767,predicate,inference,universal instantiation,contradiction,"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 not a taxi driver.",no +4768,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: Z is not rich.",no +4769,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z, z is an artist. Can we infer the following from them? Answer yes or no: Elisabeth is not an artist.",no +4770,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all z_3, z_3 will take a plane. Can we infer the following from them? Answer yes or no: Charles is not taking a plane.",no +4771,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all y, y is a politician. Can we infer the following from them? Answer yes or no: David is not a politician.",no +4772,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all x_3, x_3 is curious. Can we infer the following from them? Answer yes or no: Robert is not curious.",no +4773,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: Robert is not playing a game.",no +4774,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all w, w will play tennis. Can we infer the following from them? Answer yes or no: William is not playing tennis.",no +4775,predicate,inference,universal instantiation,contradiction,"Consider the following premises: For all u_1, u_1 will drink water. Can we infer the following from them? Answer yes or no: Richard is not drinking water.",no +4776,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: Jessica is playing squash.",yes +4777,predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z is a sailor. Can we infer the following from them? Answer yes or no: John is a sailor.",yes +4778,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_2 is playing a game.",yes +4779,predicate,inference,universal instantiation,inference,"Consider the following premises: For all u, u is a police officer. Can we infer the following from them? Answer yes or no: Karen is a police officer.",yes +4780,predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will take a plane. Can we infer the following from them? Answer yes or no: Linda is taking a plane.",yes +4781,predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a writer. Can we infer the following from them? Answer yes or no: Z is a writer.",yes +4782,predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is an office clerk. Can we infer the following from them? Answer yes or no: W is an office clerk.",yes +4783,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: Y is a police officer.",yes +4784,predicate,inference,universal instantiation,inference,"Consider the following premises: For all u, u will drive a car. Can we infer the following from them? Answer yes or no: Susan is driving a car.",yes +4785,predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a poet. Can we infer the following from them? Answer yes or no: Z is a poet.",yes +4786,predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v will make tea. Can we infer the following from them? Answer yes or no: Jessica is making tea.",yes +4787,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: Y is an artist.",yes +4788,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is a poet. Can we infer the following from them? Answer yes or no: Y is a poet.",yes +4789,predicate,inference,universal instantiation,inference,"Consider the following premises: For all x, x is a bartender. Can we infer the following from them? Answer yes or no: V_2 is a bartender.",yes +4790,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: Karen is a police officer.",yes +4791,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_2 is climbing a mountain.",yes +4792,predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v will take a plane. Can we infer the following from them? Answer yes or no: Karen is taking a plane.",yes +4793,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will go running. Can we infer the following from them? Answer yes or no: Elisabeth is running.",yes +4794,predicate,inference,universal instantiation,inference,"Consider the following premises: For all z, z will drive a car. Can we infer the following from them? Answer yes or no: James is driving a car.",yes +4795,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: W is making tea.",yes +4796,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will play tennis. Can we infer the following from them? Answer yes or no: Robert is playing tennis.",yes +4797,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is happy. Can we infer the following from them? Answer yes or no: Y is happy.",yes +4798,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w will play squash. Can we infer the following from them? Answer yes or no: Thomas is playing squash.",yes +4799,predicate,inference,universal instantiation,inference,"Consider the following premises: For all v, v is happy. Can we infer the following from them? Answer yes or no: Patricia is happy.",yes +4800,predicate,inference,universal instantiation,inference,"Consider the following premises: For all w, w is a nurse. Can we infer the following from them? Answer yes or no: Jennifer is a nurse.",yes +4801,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_3, w_3 is excited. Can we infer the following from them? Answer yes or no: Sarah is working.",no +4802,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v will read a book. Can we infer the following from them? Answer yes or no: David is not writing a letter.",no +4803,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all z_2, z_2 is a politician. Can we infer the following from them? Answer yes or no: Joseph is not running.",no +4804,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all w_3, w_3 is an astronaut. Can we infer the following from them? Answer yes or no: Jessica is not playing squash.",no +4805,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all z, z will drink water. Can we infer the following from them? Answer yes or no: Michael is reading a book.",no +4806,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v will write a letter. Can we infer the following from them? Answer yes or no: Jessica is a scientist.",no +4807,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all z_4, z_4 will make tea. Can we infer the following from them? Answer yes or no: John is not taking a plane.",no +4808,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is bored. Can we infer the following from them? Answer yes or no: Karen is an electrician.",no +4809,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: James is fast.",no +4810,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a politician. Can we infer the following from them? Answer yes or no: X is a sailor.",no +4811,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 happy.",no +4812,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will work. Can we infer the following from them? Answer yes or no: Susan is not a writer.",no +4813,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is a police officer. Can we infer the following from them? Answer yes or no: Robert is an astronaut.",no +4814,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will go running. Can we infer the following from them? Answer yes or no: Thomas is sad.",no +4815,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is curious. Can we infer the following from them? Answer yes or no: Charles is playing a game.",no +4816,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 poor.",no +4817,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: Mary is a police officer.",no +4818,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all y, y will cook. Can we infer the following from them? Answer yes or no: Linda is taking a plane.",no +4819,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x is rich. Can we infer the following from them? Answer yes or no: Mary is sleeping.",no +4820,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all z_2, z_2 will go running. Can we infer the following from them? Answer yes or no: William is not climbing a mountain.",no +4821,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all v, v is happy. Can we infer the following from them? Answer yes or no: David is writing a letter.",no +4822,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: Jennifer is not playing squash.",no +4823,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all x, x will cook. Can we infer the following from them? Answer yes or no: Joseph is playing a game.",no +4824,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all u, u will write a letter. Can we infer the following from them? Answer yes or no: William is not excited.",no +4825,predicate,inference,universal instantiation,unrelated,"Consider the following premises: For all z_4, z_4 is a taxi driver. Can we infer the following from them? Answer yes or no: Z_4 is a writer.",no +4826,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all y, y is fast. For all y, if y were fast, then 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 server.",no +4827,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w, w is an artist. For all w, if w were an artist, then 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 is not a police officer.",no +4828,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all y, if y were a poet, then y is a soldier. For all y, 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 not a soldier.",no +4829,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, u_4 will drink water. For all u_4, if u_4 drinks water, 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 not read a book.",no +4830,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all v_4, v_4 will cook. For all v_4, if v_4 cooks, then v_4 is a musician. 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 musician.",no +4831,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 were a soldier, then u_4 is sleeping. For all u_4, 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 will not sleep.",no +4832,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 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 +4833,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x drinks water, then x is excited. 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 is not excited.",no +4834,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, if u_4 plays squash, then u_4 is listening to a song. For all u_4, u_4 will play squash. 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 +4835,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were curious, then x is taking a plane. 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 x will not take a plane.",no +4836,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were rich, then x is sad. 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 x is not sad.",no +4837,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 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 +4838,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all u_4, u_4 is a server. For all u_4, if u_4 were a server, 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 +4839,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all w, w is a cashier. For all w, if w were a cashier, 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 not play a game.",no +4840,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were an artist, then x is cooking. 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 cook.",no +4841,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x will cook. For all x, if x cooks, 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 not happy.",no +4842,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all y, y will go 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: There is at least one y for which y is not a police officer.",no +4843,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, x is an astronaut. For all x, if x were an astronaut, 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 is not a taxi driver.",no +4844,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x plays a game, then x is listening to a song. 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 listen to a song.",no +4845,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 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 +4846,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x were a doctor, then x is playing squash. For all x, 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 play squash.",no +4847,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 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 +4848,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, 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 not play squash.",no +4849,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all y, y is an artist. For all y, if y were an artist, 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 will not take a plane.",no +4850,predicate,inference,universal modus ponens,contradiction,"Consider the following premises: For all x, if x works, then x is a politician. 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 politician.",no +4851,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u, if u were sad, then u is drinking water. For all u, u is sad. Can we infer the following from them? Answer yes or no: For all u, u will drink water.",yes +4852,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x works, then x is an artist. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",yes +4853,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w, w is a janitor. For all w, if w were a janitor, then w is an office clerk. Can we infer the following from them? Answer yes or no: For all w, w is an office clerk.",yes +4854,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w, if w works, then w is a server. For all w, w will work. Can we infer the following from them? Answer yes or no: For all w, w is a server.",yes +4855,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w_4, if w_4 were a cashier, then w_4 is playing a game. For all w_4, w_4 is a cashier. Can we infer the following from them? Answer yes or no: For all w_4, w_4 will play a game.",yes +4856,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 bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",yes +4857,predicate,inference,universal modus ponens,inference,"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 sleep.",yes +4858,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 poor. Can we infer the following from them? Answer yes or no: For all x, x is poor.",yes +4859,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w, w will take a plane. For all w, if w takes a plane, then w is making tea. Can we infer the following from them? Answer yes or no: For all w, w will make tea.",yes +4860,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will read a book. For all x, if x reads a book, then x is cooking. Can we infer the following from them? Answer yes or no: For all x, x will cook.",yes +4861,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were a bartender, then x is sleeping. For all x, x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes +4862,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 driving a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",yes +4863,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w, w is a poet. For all w, if w were a poet, then w is playing squash. Can we infer the following from them? Answer yes or no: For all w, w will play squash.",yes +4864,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all y, if y reads a book, then y is drinking water. For all y, y will read a book. Can we infer the following from them? Answer yes or no: For all y, y will drink water.",yes +4865,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x were fast, then x is climbing a mountain. For all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",yes +4866,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 doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",yes +4867,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x plays squash, then x is drinking water. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes +4868,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u, u will climb a mountain. For all u, if u climbs a mountain, then u is a soldier. Can we infer the following from them? Answer yes or no: For all u, u is a soldier.",yes +4869,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u, if u were an office clerk, then u is rich. For all u, u is an office clerk. Can we infer the following from them? Answer yes or no: For all u, u is rich.",yes +4870,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x will take a plane. For all x, if x takes a plane, then x is writing a letter. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes +4871,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all y, if y were a taxi driver, then y is sad. For all y, y is a taxi driver. Can we infer the following from them? Answer yes or no: For all y, y is sad.",yes +4872,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all u, if u cooks, then u is driving a car. For all u, u will cook. Can we infer the following from them? Answer yes or no: For all u, u will drive a car.",yes +4873,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all w, if w were a writer, then w is listening to a song. For all w, w is a writer. Can we infer the following from them? Answer yes or no: For all w, w will listen to a song.",yes +4874,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, if x plays a game, then x is a carpenter. 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 carpenter.",yes +4875,predicate,inference,universal modus ponens,inference,"Consider the following premises: For all x, x is happy. For all x, if x were happy, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",yes +4876,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a politician, then x is a sailor. For all x, x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a soldier.",no +4877,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, if z_1 plays squash, then z_1 is excited. For all z_1, z_1 will play squash. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not write a letter.",no +4878,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, z_1 will drink water. For all z_1, if z_1 drinks water, then z_1 is reading a book. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not a sailor.",no +4879,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is a soldier. For all x, x will play squash. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no +4880,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were fast, then x is making tea. For all x, x is fast. Can we infer the following from them? Answer yes or no: For all x, x is not sad.",no +4881,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, 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: For all x, x will work.",no +4882,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 an artist. Can we infer the following from them? Answer yes or no: For all x, x is not a nurse.",no +4883,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 taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",no +4884,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will climb a mountain. 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, x will not read a book.",no +4885,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x works, then x is a musician. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no +4886,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, z_1 is a poet. For all z_1, if z_1 were a poet, then z_1 is a mechanic. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will drive a car.",no +4887,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, x will drive a car. For all x, if x drives a car, then x is working. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no +4888,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays a game, then x is an office clerk. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no +4889,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x plays a game, then x is sleeping. For all x, x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no +4890,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x makes tea, then x is a sailor. For all x, x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +4891,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 driving a car. Can we infer the following from them? Answer yes or no: For all x, x will not play a game.",no +4892,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, if z_1 sleeps, then z_1 is an electrician. For all z_1, z_1 will sleep. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not go running.",no +4893,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, if z_1 sleeps, then z_1 is rich. For all z_1, z_1 will sleep. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not excited.",no +4894,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 driving a car. Can we infer the following from them? Answer yes or no: For all x, x is not a musician.",no +4895,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 will not play squash.",no +4896,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, if z_1 reads a book, then z_1 is writing a letter. For all z_1, z_1 will read a book. Can we infer the following from them? Answer yes or no: For all z_1, z_1 will not drink water.",no +4897,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x were a janitor, then x is bored. For all x, x is a janitor. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4898,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, 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: For all x, x is sad.",no +4899,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all x, if x works, then x is making tea. For all x, x will work. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",no +4900,predicate,inference,universal modus ponens,unrelated,"Consider the following premises: For all z_1, if z_1 were rich, then z_1 is a mechanic. For all z_1, z_1 is rich. Can we infer the following from them? Answer yes or no: For all z_1, z_1 is not an office clerk.",no +4901,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, y will drink water. For all y, if y takes a plane, then y is not drinking water. 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 +4902,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u_3, u_3 will not drink water. For all u_3, if u_3 were a politician, then u_3 is drinking water. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is a politician.",no +4903,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will read a book. For all x, if x were a nurse, then x is not reading a book. Can we infer the following from them? Answer yes or no: There is at least one x for which x is a nurse.",no +4904,predicate,inference,universal modus tollens,contradiction,"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: There is at least one x for which x will take a plane.",no +4905,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 +4906,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u, u will take a plane. For all u, if u listens to a song, then u is not taking 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.",no +4907,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x goes running, then x is a poet. 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 go running.",no +4908,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x_2, if x_2 were a poet, 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: There is at least one x_2 for which x_2 is a poet.",no +4909,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not sleep. For all x, if x were a carpenter, 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 carpenter.",no +4910,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, if y sleeps, then y is reading a book. For all y, y will not read a book. Can we infer the following from them? Answer yes or no: There is at least one y for which y will sleep.",no +4911,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, if y listens to a song, then y is a mechanic. 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 will listen to a song.",no +4912,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y_4, if y_4 were poor, then y_4 is cooking. For all y_4, y_4 will not cook. Can we infer the following from them? Answer yes or no: There is at least one y_4 for which y_4 is poor.",no +4913,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x_4, if x_4 were excited, then x_4 is a police officer. For all x_4, x_4 is not a police officer. Can we infer the following from them? Answer yes or no: There is at least one x_4 for which x_4 is excited.",no +4914,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u, u will go running. For all u, if u were a writer, then u is not running. Can we infer the following from them? Answer yes or no: There is at least one u for which u is a writer.",no +4915,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u_3, u_3 will not play squash. For all u_3, if u_3 were excited, then u_3 is playing squash. Can we infer the following from them? Answer yes or no: There is at least one u_3 for which u_3 is excited.",no +4916,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x_4, if x_4 writes a letter, then x_4 is a sailor. For all x_4, x_4 is not a sailor. 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.",no +4917,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will play a game. For all x, if x were bored, then x is not playing a game. Can we infer the following from them? Answer yes or no: There is at least one x for which x is bored.",no +4918,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were a writer, 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 is a writer.",no +4919,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, if x were a bartender, then x is a janitor. For all x, 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 a bartender.",no +4920,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u_4, if u_4 were an artist, then u_4 is happy. For all u_4, u_4 is not happy. Can we infer the following from them? Answer yes or no: There is at least one u_4 for which u_4 is an artist.",no +4921,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all y, y will drink water. For all y, if y reads a book, then y is not drinking water. 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 +4922,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will drive a car. For all x, if x sleeps, then x is not driving a car. Can we infer the following from them? Answer yes or no: There is at least one x for which x will sleep.",no +4923,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u_3, if u_3 plays tennis, then u_3 is making tea. For all u_3, u_3 will not make tea. 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.",no +4924,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all x, x will not 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 +4925,predicate,inference,universal modus tollens,contradiction,"Consider the following premises: For all u, u will go running. For all u, if u were an office clerk, then u is not running. Can we infer the following from them? Answer yes or no: There is at least one u for which u is an office clerk.",no +4926,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a poet, 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: For all x, x is not a poet.",yes +4927,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will not listen to a song. For all x, if x were an artist, then x is listening to a song. Can we infer the following from them? Answer yes or no: For all x, x is not an artist.",yes +4928,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x_4, x_4 is not sad. For all x_4, if x_4 were a mechanic, then x_4 is sad. Can we infer the following from them? Answer yes or no: For all x_4, x_4 is not a mechanic.",yes +4929,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is a poet. For all x, if x were fast, then x is not a poet. Can we infer the following from them? Answer yes or no: For all x, x is not fast.",yes +4930,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is fast. For all x, if x works, then x is not fast. Can we infer the following from them? Answer yes or no: For all x, x will not work.",yes +4931,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all u, u will not take a plane. For all u, if u were a janitor, then u is taking a plane. Can we infer the following from them? Answer yes or no: For all u, u is not a janitor.",yes +4932,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v were rich, then v is driving a car. For all v, v will not drive a car. Can we infer the following from them? Answer yes or no: For all v, v is not rich.",yes +4933,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is not a politician. For all x, if x were a police officer, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",yes +4934,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v is a sailor. For all v, if v were a doctor, then v is not a sailor. Can we infer the following from them? Answer yes or no: For all v, v is not a doctor.",yes +4935,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were a politician, then x is not listening to a song. 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.",yes +4936,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v were a musician, then v is a police officer. For all v, v is not a police officer. Can we infer the following from them? Answer yes or no: For all v, v is not a musician.",yes +4937,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v writes a letter, then v is not running. For all v, v will go running. Can we infer the following from them? Answer yes or no: For all v, v will not write a letter.",yes +4938,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v_4, v_4 is not a taxi driver. For all v_4, if v_4 were a carpenter, then v_4 is a taxi driver. Can we infer the following from them? Answer yes or no: For all v_4, v_4 is not a carpenter.",yes +4939,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v listens to a song, then v is playing tennis. For all v, v will not play tennis. Can we infer the following from them? Answer yes or no: For all v, v will not listen to a song.",yes +4940,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v will climb a mountain. For all v, if v were a sailor, then v is not climbing a mountain. Can we infer the following from them? Answer yes or no: For all v, v is not a sailor.",yes +4941,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, if x were fast, then 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 not fast.",yes +4942,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v were a scientist, then v is not rich. For all v, v is rich. Can we infer the following from them? Answer yes or no: For all v, v is not a scientist.",yes +4943,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x is not rich. For all x, if x were a politician, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x is not a politician.",yes +4944,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all x, x will play a game. For all x, if x goes running, then x is not playing a game. Can we infer the following from them? Answer yes or no: For all x, x will not go running.",yes +4945,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v will make tea. For all v, if v drinks water, then v is not making tea. Can we infer the following from them? Answer yes or no: For all v, v will not drink water.",yes +4946,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all u, if u were an artist, then u is running. For all u, u will not go running. Can we infer the following from them? Answer yes or no: For all u, u is not an artist.",yes +4947,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v is a soldier. For all v, if v were an astronaut, then v is not a soldier. Can we infer the following from them? Answer yes or no: For all v, v is not an astronaut.",yes +4948,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v were a lawyer, then v is taking a plane. For all v, v will not take a plane. Can we infer the following from them? Answer yes or no: For all v, v is not a lawyer.",yes +4949,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, if v drives a car, then v is climbing a mountain. For all v, v will not climb a mountain. Can we infer the following from them? Answer yes or no: For all v, v will not drive a car.",yes +4950,predicate,inference,universal modus tollens,inference,"Consider the following premises: For all v, v will play tennis. For all v, if v climbs a mountain, then v is not playing tennis. Can we infer the following from them? Answer yes or no: For all v, v will not climb a mountain.",yes +4951,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not a carpenter. For all x, if x climbs a mountain, then x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is not a mechanic.",no +4952,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all w_3, w_3 will play tennis. For all w_3, if w_3 were a musician, then w_3 is not playing tennis. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is not a taxi driver.",no +4953,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x_1, x_1 will not drive a car. For all x_1, if x_1 were poor, then x_1 is driving a car. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will play tennis.",no +4954,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x_1, if x_1 were a cashier, then x_1 is a mechanic. For all x_1, x_1 is not a mechanic. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not drink water.",no +4955,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x sleeps, then x is not listening to a song. 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 happy.",no +4956,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is not a musician. For all x, x is a musician. Can we infer the following from them? Answer yes or no: For all x, x will not sleep.",no +4957,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x plays squash, then x is not playing a game. 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 bartender.",no +4958,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will make tea. For all x, if x goes running, then x is not making tea. Can we infer the following from them? Answer yes or no: For all x, x will not climb a mountain.",no +4959,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all w_3, w_3 will cook. For all w_3, if w_3 works, then w_3 is not cooking. Can we infer the following from them? Answer yes or no: For all w_3, w_3 is a server.",no +4960,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all w_3, if w_3 plays tennis, then w_3 is not a bartender. For all w_3, w_3 is a bartender. Can we infer the following from them? Answer yes or no: For all w_3, w_3 will not read a book.",no +4961,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were a scientist, then x is an artist. 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 climb a mountain.",no +4962,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were a poet, 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: For all x, x is curious.",no +4963,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x_1, if x_1 plays tennis, then x_1 is writing a letter. 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 will play squash.",no +4964,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 a politician.",no +4965,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x_1, if x_1 plays tennis, then x_1 is a server. For all x_1, x_1 is not a server. Can we infer the following from them? Answer yes or no: For all x_1, x_1 will not climb a mountain.",no +4966,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x drinks water, then x is not a nurse. For all x, x is a nurse. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no +4967,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x climbs a mountain, then x is taking a plane. 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 not a carpenter.",no +4968,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is a bartender. For all x, if x makes tea, then x is not a bartender. Can we infer the following from them? Answer yes or no: For all x, x is not a cashier.",no +4969,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will play a game. For all x, if x writes a letter, then x is not playing a game. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +4970,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x will not climb a mountain. For all x, if x takes a plane, then x is climbing a mountain. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +4971,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were an artist, then x is not a writer. For all x, x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is excited.",no +4972,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is not fast. For all x, if x sleeps, then x is fast. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +4973,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is an electrician. For all x, if x were a musician, then x is not an electrician. Can we infer the following from them? Answer yes or no: For all x, x will not cook.",no +4974,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, if x were poor, then x is not a carpenter. For all x, x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will not make tea.",no +4975,predicate,inference,universal modus tollens,unrelated,"Consider the following premises: For all x, x is fast. For all x, if x were a writer, then x is not fast. Can we infer the following from them? Answer yes or no: For all x, x is not an office clerk.",no +4976,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drive a car or x is fast. For all x, 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 neither x will listen to a song nor x is fast.",no +4977,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all z, z will play tennis or z is a writer. For all z, z will not play tennis or z is a cashier. Can we infer the following from them? Answer yes or no: There is at least one z for which neither z is a writer nor z is a cashier.",no +4978,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drive a car or x will write a letter. For all x, 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 neither x will play squash nor x will write a letter.",no +4979,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a police officer or x will cook. For all x, x is not a police officer 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 cook nor x is an astronaut.",no +4980,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not an artist or x is curious. For all x, x is an artist 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 curious.",no +4981,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 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 work.",no +4982,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will play squash or x will climb a mountain. For all x, x will not play squash 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 will climb a mountain nor x is happy.",no +4983,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not write a letter or x will read a book. For all x, x will write a letter 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 will read a book.",no +4984,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will listen to a song or x is happy. For all x, x will not listen to a song 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 is happy nor x is a carpenter.",no +4985,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will cook or x is a soldier. For all x, x will not cook 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 is a soldier nor x will drink water.",no +4986,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not play a game or x will work. For all x, x will play a game 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 will work.",no +4987,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not a soldier or x is a mechanic. For all x, x is a soldier 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 is a mechanic.",no +4988,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all z, z is not a police officer or z will write a letter. For all z, z is a police officer 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 climb a mountain nor z will write a letter.",no +4989,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will sleep or x is a carpenter. For all x, x will not sleep 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 is a carpenter nor x will play tennis.",no +4990,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not read a book or x is a lawyer. For all x, x will read a book 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 climb a mountain nor x is a lawyer.",no +4991,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is an electrician or x will play tennis. For all x, x is not an electrician 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 will play tennis nor x is an office clerk.",no +4992,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drink water or x will climb a mountain. For all x, x will drink water or x is poor. Can we infer the following from them? Answer yes or no: There is at least one x for which neither x is poor nor x will climb a mountain.",no +4993,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is not an artist or x is a doctor. For all x, x is an artist 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 a doctor.",no +4994,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is a musician or x is a poet. For all x, x is not a musician 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 a poet nor x is a sailor.",no +4995,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is poor or x is rich. For all x, x is not 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 neither x is rich nor x is a writer.",no +4996,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not drink water or x is a soldier. For all x, x will drink water 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 a doctor nor x is a soldier.",no +4997,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will drink water or x is curious. For all x, x will not 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 neither x is curious nor x will play squash.",no +4998,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will read a book or x will listen to a song. For all x, x will not 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 neither x will listen to a song nor x will make tea.",no +4999,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x will not write a letter or x will play a game. For all x, x will 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 neither x will go running nor x will play a game.",no +5000,predicate,inference,universal resolution,contradiction,"Consider the following premises: For all x, x is an astronaut or x will make tea. For all x, x is not an astronaut or x is a poet. 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 poet.",no +5001,predicate,inference,universal resolution,inference,"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 or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x will work or x will play a game.",yes +5002,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is a doctor or x is a poet. For all x, x is not a doctor or x will play a game. Can we infer the following from them? Answer yes or no: For all x, x is a poet or x will play a game.",yes +5003,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a doctor or x will drive a car. For all x, x is a doctor or x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will drink water or x will drive a car.",yes +5004,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will drink water or x is a soldier. For all x, x will not drink water or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is a soldier or x is an office clerk.",yes +5005,predicate,inference,universal resolution,inference,"Consider the following premises: For all y_1, y_1 is not rich or y_1 will climb a mountain. For all y_1, y_1 is rich or y_1 is a musician. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a musician or y_1 will climb a mountain.",yes +5006,predicate,inference,universal resolution,inference,"Consider the following premises: For all y_1, y_1 is a cashier or y_1 will drink water. For all y_1, y_1 is not a cashier or y_1 is bored. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will drink water or y_1 is bored.",yes +5007,predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v is not a nurse or v is bored. For all v, v is a nurse or v will drive a car. Can we infer the following from them? Answer yes or no: For all v, v will drive a car or v is bored.",yes +5008,predicate,inference,universal resolution,inference,"Consider the following premises: For all y_1, y_1 will take a plane or y_1 will write a letter. For all y_1, y_1 will not take a plane or y_1 is a musician. Can we infer the following from them? Answer yes or no: For all y_1, y_1 will write a letter or y_1 is a musician.",yes +5009,predicate,inference,universal resolution,inference,"Consider the following premises: For all z, z will not drive a car or z will read a book. 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 play squash or z will read a book.",yes +5010,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u is not fast or u will climb a mountain. For all u, u is fast or u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will play tennis or u will climb a mountain.",yes +5011,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not sleep or x will climb a mountain. For all x, x will sleep 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 climb a mountain.",yes +5012,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not a poet or x is a lawyer. For all x, x is a poet 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 or x is a lawyer.",yes +5013,predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not climb a mountain or v is fast. For all v, v will climb a mountain 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 fast.",yes +5014,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u is an electrician or u will make tea. For all u, u is not an electrician or u will play tennis. Can we infer the following from them? Answer yes or no: For all u, u will make tea or u will play tennis.",yes +5015,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not play tennis or x is a nurse. For all x, x will play tennis 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 nurse.",yes +5016,predicate,inference,universal resolution,inference,"Consider the following premises: For all y_1, y_1 is not a mechanic or y_1 is a carpenter. For all y_1, y_1 is a mechanic or y_1 is a taxi driver. Can we infer the following from them? Answer yes or no: For all y_1, y_1 is a taxi driver or y_1 is a carpenter.",yes +5017,predicate,inference,universal resolution,inference,"Consider the following premises: For all v, v will not write a letter or v is a lawyer. For all v, v will write a letter or v is a sailor. Can we infer the following from them? Answer yes or no: For all v, v is a sailor or v is a lawyer.",yes +5018,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u will work or u is a lawyer. For all u, u will not work or u will write a letter. Can we infer the following from them? Answer yes or no: For all u, u is a lawyer or u will write a letter.",yes +5019,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u is a sailor or u is a scientist. For all u, u is not a sailor or u will work. Can we infer the following from them? Answer yes or no: For all u, u is a scientist or u will work.",yes +5020,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x will not drink water or x will listen to a song. 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, x will drive a car or x will listen to a song.",yes +5021,predicate,inference,universal resolution,inference,"Consider the following premises: For all z, z will not sleep or z is curious. For all z, z will sleep 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 or z is curious.",yes +5022,predicate,inference,universal resolution,inference,"Consider the following premises: For all z, z will not climb a mountain or z will work. For all z, z will climb a mountain or 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 work.",yes +5023,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u is a carpenter or u will drive a car. For all u, u is not a carpenter or u is curious. Can we infer the following from them? Answer yes or no: For all u, u will drive a car or u is curious.",yes +5024,predicate,inference,universal resolution,inference,"Consider the following premises: For all x, x is not excited or x will drive a car. For all x, x is excited 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 drive a car.",yes +5025,predicate,inference,universal resolution,inference,"Consider the following premises: For all u, u is a nurse or u is an astronaut. For all u, u is not a nurse or u is curious. Can we infer the following from them? Answer yes or no: For all u, u is an astronaut or u is curious.",yes +5026,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a police officer or x is a soldier. For all x, x is not a police officer 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 +5027,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a cashier or x is a soldier. For all x, x is a cashier 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.",no +5028,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a cashier or x is an artist. For all x, x is a cashier 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.",no +5029,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not sad or x will play a game. For all x, x is sad or x will sleep. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",no +5030,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not write a letter or x is fast. For all x, x will write a letter or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no +5031,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not write a letter or x is curious. For all x, x will write a letter 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.",no +5032,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a server or x will make tea. For all x, x is not a server or x is bored. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +5033,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a taxi driver or x is rich. For all x, x is a taxi driver or x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy.",no +5034,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will read a book or x will take a plane. For all x, x will not read a book or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no +5035,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a doctor or x is sad. For all x, x is not a doctor or x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is sad.",no +5036,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not cook or x is a politician. For all x, x will cook or x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is a politician.",no +5037,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not work or x is a carpenter. For all x, x will work or x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a carpenter.",no +5038,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a mechanic or x will cook. For all x, x is not a mechanic or x is poor. Can we infer the following from them? Answer yes or no: For all x, x is poor.",no +5039,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will sleep or x will climb a mountain. For all x, x will not sleep or x is a writer. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +5040,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a poet or x is excited. For all x, x is not a poet or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is an office clerk.",no +5041,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not sleep or x is an electrician. For all x, x will sleep 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.",no +5042,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will go running or x will play a game. For all x, x will not go running or x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no +5043,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not rich or x will play a game. For all x, x is rich 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 +5044,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will not read a book or x will go running. For all x, x will read a book or x is a doctor. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no +5045,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a sailor or x is a taxi driver. For all x, x is a sailor or x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no +5046,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not sad or x is a sailor. For all x, x is sad or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is a sailor.",no +5047,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will cook or x is sad. For all x, x will not cook or x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +5048,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is not a politician or x will listen to a song. For all x, x is a politician or x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +5049,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x will play a game or x will play tennis. 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 is happy.",no +5050,predicate,inference,universal resolution,unrelated,"Consider the following premises: For all x, x is a writer or x will play tennis. For all x, x is not a writer or x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",no +5051,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w, w will climb a mountain and 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 climb a mountain.",no +5052,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 will work 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 work.",no +5053,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will work 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 +5054,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 +5055,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 is a scientist and v_3 will drink water. Can we infer the following from them? Answer yes or no: There is at least one v_3 for which v_3 will not drink water.",no +5056,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 will read a book and v_3 is a poet. 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.",no +5057,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v will play squash and 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 +5058,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 will make tea and v_3 will drive a car. 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 +5059,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, 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 not play tennis.",no +5060,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is an artist 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 an artist.",no +5061,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is curious 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 not make tea.",no +5062,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play squash 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 an electrician.",no +5063,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is a bartender and v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not a bartender.",no +5064,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play squash 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 play squash.",no +5065,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 is a janitor and 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 is not a janitor.",no +5066,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v_3, v_3 is a bartender and v_3 is a poet. 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.",no +5067,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 play squash.",no +5068,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all w, w will write a letter and w is sad. 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 +5069,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is happy 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 not cook.",no +5070,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v will cook and 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 not a poet.",no +5071,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is a police officer and 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 not take a plane.",no +5072,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is happy 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 not an office clerk.",no +5073,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x will play tennis 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 play tennis.",no +5074,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all x, x is a doctor 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 +5075,predicate,inference,universal simplification,contradiction,"Consider the following premises: For all v, v is a nurse and v is bored. Can we infer the following from them? Answer yes or no: There is at least one v for which v is not bored.",no +5076,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is rich and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x is rich.",yes +5077,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will take a plane and x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",yes +5078,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will read a book and x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is a mechanic.",yes +5079,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will take a plane and x is a scientist. Can we infer the following from them? Answer yes or no: For all x, x will take a plane.",yes +5080,predicate,inference,universal simplification,inference,"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: For all x, x will climb a mountain.",yes +5081,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a soldier and x is bored. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",yes +5082,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is sad and x will read a book. Can we infer the following from them? Answer yes or no: For all x, x is sad.",yes +5083,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will cook and x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",yes +5084,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will play tennis and x will drive a car. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",yes +5085,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will read a book and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x will play tennis.",yes +5086,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will play squash and x is an electrician. Can we infer the following from them? Answer yes or no: For all x, x is an electrician.",yes +5087,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will drink water and x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",yes +5088,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will climb a mountain and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",yes +5089,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is an artist and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",yes +5090,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will write a letter 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 +5091,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a carpenter and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is a writer.",yes +5092,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is excited and x is happy. Can we infer the following from them? Answer yes or no: For all x, x is happy.",yes +5093,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will read a book 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 +5094,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a lawyer and x is an office clerk. Can we infer the following from them? Answer yes or no: For all x, x is a lawyer.",yes +5095,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will sleep and x will drink water. Can we infer the following from them? Answer yes or no: For all x, x will sleep.",yes +5096,predicate,inference,universal simplification,inference,"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 write a letter.",yes +5097,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x will write a letter and x will go running. Can we infer the following from them? Answer yes or no: For all x, x will write a letter.",yes +5098,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is an artist and x is a bartender. Can we infer the following from them? Answer yes or no: For all x, x is a bartender.",yes +5099,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a soldier and x will play squash. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",yes +5100,predicate,inference,universal simplification,inference,"Consider the following premises: For all x, x is a sailor 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 +5101,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a nurse and x is a cashier. Can we infer the following from them? Answer yes or no: For all x, x is fast.",no +5102,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all z_2, z_2 will cook and z_2 will make tea. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is a lawyer.",no +5103,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a politician and x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no +5104,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y_4, y_4 is poor and y_4 is a bartender. Can we infer the following from them? Answer yes or no: For all y_4, y_4 will make tea.",no +5105,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a sailor and x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is rich.",no +5106,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will make tea and x is a taxi driver. Can we infer the following from them? Answer yes or no: For all x, x will not drive a car.",no +5107,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will climb a mountain 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 +5108,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will play squash and x will cook. Can we infer the following from them? Answer yes or no: For all x, x will not read a book.",no +5109,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will cook and x will make tea. Can we infer the following from them? Answer yes or no: For all x, x is not a police officer.",no +5110,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y_4, y_4 will climb a mountain and y_4 will take a plane. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is an office clerk.",no +5111,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a carpenter and x is an astronaut. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +5112,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a scientist and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a cashier.",no +5113,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is happy and x is a carpenter. Can we infer the following from them? Answer yes or no: For all x, x is a soldier.",no +5114,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will cook and x is a writer. Can we infer the following from them? Answer yes or no: For all x, x is not rich.",no +5115,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will work and x is a sailor. Can we infer the following from them? Answer yes or no: For all x, x will not play tennis.",no +5116,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all z_2, z_2 is fast and z_2 will climb a mountain. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is not a nurse.",no +5117,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will play tennis and x is a mechanic. Can we infer the following from them? Answer yes or no: For all x, x is not a bartender.",no +5118,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all y_4, y_4 will read a book and y_4 is happy. Can we infer the following from them? Answer yes or no: For all y_4, y_4 is sad.",no +5119,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all z_2, z_2 is a cashier and z_2 is a doctor. Can we infer the following from them? Answer yes or no: For all z_2, z_2 is not a taxi driver.",no +5120,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will go running and x is excited. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no +5121,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a police officer and x is bored. Can we infer the following from them? Answer yes or no: For all x, x will make tea.",no +5122,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x will sleep and x will play tennis. Can we infer the following from them? Answer yes or no: For all x, x is a janitor.",no +5123,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, 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 is not a lawyer.",no +5124,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all z_2, z_2 is curious and z_2 is an electrician. Can we infer the following from them? Answer yes or no: For all z_2, z_2 will write a letter.",no +5125,predicate,inference,universal simplification,unrelated,"Consider the following premises: For all x, x is a soldier and x is a server. Can we infer the following from them? Answer yes or no: For all x, x will climb a mountain.",no +5126,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a bartender, then x is an astronaut. For all x, if x goes running, then x is a bartender. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x goes running does not imply that x is an astronaut.",no +5127,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a scientist, then x is sleeping. For all x, if x were a bartender, then x is a scientist. 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 bartender does not imply that x is sleeping.",no +5128,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u reads a book, then u is a writer. For all u, if u were a writer, then u is cooking. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u reads a book does not imply that u is cooking.",no +5129,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all z, if z were bored, then z is writing a letter. For all z, if z writes a letter, then z is a lawyer. Can we infer the following from them? Answer yes or no: There is at least one z for which the fact that z were bored does not imply that z is a lawyer.",no +5130,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u plays tennis, then u is bored. For all u, if u were bored, 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 the fact that u plays tennis does not imply that u is listening to a song.",no +5131,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were happy, then x is a nurse. For all x, if x works, then 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 works does not imply that x is a nurse.",no +5132,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u reads a book, then u is a janitor. For all u, if u were a janitor, 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 the fact that u reads a book does not imply that u is taking a plane.",no +5133,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x works, then x is playing 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 the fact that x works does not imply that x is playing a game.",no +5134,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x goes running, then x is curious. For all x, if x were curious, then x is playing squash. Can we infer the following from them? Answer yes or no: There is at least one x for which the fact that x goes running does not imply that x is playing squash.",no +5135,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x drinks water, then x is fast. For all x, if x were sad, 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 sad does not imply that x is fast.",no +5136,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x plays squash, then x is a politician. For all x, if x were a politician, 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 plays squash does not imply that x is poor.",no +5137,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were a mechanic, then u is a police officer. For all u, if u were a police officer, 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 were a mechanic does not imply that u is driving a car.",no +5138,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u sleeps, then u is playing squash. For all u, if u cooks, then u is sleeping. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u cooks does not imply that u is playing squash.",no +5139,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u cooks, then u is a sailor. For all u, if u were a sailor, then u is poor. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u cooks does not imply that u is poor.",no +5140,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all z, if z drinks water, then z is cooking. For all z, if z were a police officer, then z is drinking water. Can we infer the following from them? Answer yes or no: There is at least one z for which the fact that z were a police officer does not imply that z is cooking.",no +5141,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all z, if z makes tea, then z is taking a plane. For all z, if z takes a plane, then z is working. Can we infer the following from them? Answer yes or no: There is at least one z for which the fact that z makes tea does not imply that z is working.",no +5142,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were sad, then u is writing a letter. For all u, if u listens to a song, then u is sad. Can we infer the following from them? Answer yes or no: There is at least one u for which the fact that u listens to a song does not imply that u is writing a letter.",no +5143,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were a server, then x is running. For all x, if x were an artist, then x is a server. 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 running.",no +5144,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 a sailor. 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 a sailor.",no +5145,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were sad, then u is excited. 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 the fact that u were sad does not imply that u is a musician.",no +5146,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x were curious, then x is poor. For all x, if x were poor, 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 curious does not imply that x is drinking water.",no +5147,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all z, if z were a lawyer, then z is a poet. For all z, if z were a poet, 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 the fact that z were a lawyer does not imply that z is writing a letter.",no +5148,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all u, if u were a nurse, then u is excited. For all u, if u drinks water, then u is a nurse. 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 excited.",no +5149,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all z, if z were fast, then z is a police officer. For all z, if z were a police officer, then z is cooking. Can we infer the following from them? Answer yes or no: There is at least one z for which the fact that z were fast does not imply that z is cooking.",no +5150,predicate,inference,universal transitivity,contradiction,"Consider the following premises: For all x, if x cooks, then x is writing a letter. For all x, if x writes a letter, then x is a politician. 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 politician.",no +5151,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a mechanic, then x is making tea. For all x, if x works, 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 making tea.",yes +5152,predicate,inference,universal transitivity,inference,"Consider the following premises: For all u_3, if u_3 were an electrician, then u_3 is happy. For all u_3, if u_3 were curious, then u_3 is an electrician. Can we infer the following from them? Answer yes or no: For all u_3, if u_3 were curious, then u_3 is happy.",yes +5153,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were poor, then v is an artist. For all v, if v were an artist, then v is a scientist. Can we infer the following from them? Answer yes or no: For all v, if v were poor, then v is a scientist.",yes +5154,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v drinks water, then v is cooking. For all v, if v were a musician, then v is drinking water. Can we infer the following from them? Answer yes or no: For all v, if v were a musician, then v is cooking.",yes +5155,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v drinks water, then v is a doctor. 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, if v climbs a mountain, then v is a doctor.",yes +5156,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x goes running, then x is a doctor. For all x, if x were a doctor, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x goes running, then x is playing squash.",yes +5157,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were happy, then x is cooking. For all x, if x were an artist, then x is happy. Can we infer the following from them? Answer yes or no: For all x, if x were an artist, then x is cooking.",yes +5158,predicate,inference,universal transitivity,inference,"Consider the following premises: For all y, if y were an astronaut, then y is a sailor. For all y, if y were a sailor, then y is a mechanic. Can we infer the following from them? Answer yes or no: For all y, if y were an astronaut, then y is a mechanic.",yes +5159,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a police officer, then x is listening to a song. For all x, if x listens to a song, then x is playing squash. Can we infer the following from them? Answer yes or no: For all x, if x were a police officer, then x is playing squash.",yes +5160,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a mechanic, then x is a poet. 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 mechanic, then x is a sailor.",yes +5161,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were poor, then x is a politician. 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 poor, then x is a police officer.",yes +5162,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x takes a plane, then x is a server. 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, if x drinks water, then x is a server.",yes +5163,predicate,inference,universal transitivity,inference,"Consider the following premises: For all y, if y goes running, then y is making tea. For all y, if y makes tea, then y is drinking water. Can we infer the following from them? Answer yes or no: For all y, if y goes running, then y is drinking water.",yes +5164,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were curious, then v is bored. For all v, if v were an astronaut, then v is curious. Can we infer the following from them? Answer yes or no: For all v, if v were an astronaut, then v is bored.",yes +5165,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x works, then x is a doctor. For all x, if x were sad, then x is working. Can we infer the following from them? Answer yes or no: For all x, if x were sad, then x is a doctor.",yes +5166,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were a sailor, then v is making tea. For all v, if v makes tea, then v is playing tennis. Can we infer the following from them? Answer yes or no: For all v, if v were a sailor, then v is playing tennis.",yes +5167,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a scientist, then x is a musician. For all x, if x were bored, then x is a scientist. Can we infer the following from them? Answer yes or no: For all x, if x were bored, then x is a musician.",yes +5168,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v plays a game, then v is playing squash. For all v, if v were a janitor, then v is playing a game. Can we infer the following from them? Answer yes or no: For all v, if v were a janitor, then v is playing squash.",yes +5169,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a lawyer, then x is a politician. For all x, if x listens to a song, then x is a lawyer. Can we infer the following from them? Answer yes or no: For all x, if x listens to a song, then x is a politician.",yes +5170,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were rich, then v is bored. For all v, if v were bored, then v is an electrician. Can we infer the following from them? Answer yes or no: For all v, if v were rich, then v is an electrician.",yes +5171,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v listens to a song, then v is a doctor. For all v, if v were a doctor, then v is a taxi driver. Can we infer the following from them? Answer yes or no: For all v, if v listens to a song, then v is a taxi driver.",yes +5172,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x drinks water, then x is a soldier. For all x, if x were fast, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, if x were fast, then x is a soldier.",yes +5173,predicate,inference,universal transitivity,inference,"Consider the following premises: For all v, if v were a doctor, then v is drinking water. For all v, if v drinks water, then v is a politician. Can we infer the following from them? Answer yes or no: For all v, if v were a doctor, then v is a politician.",yes +5174,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x were a bartender, then x is a nurse. For all x, if x sleeps, then x is a bartender. Can we infer the following from them? Answer yes or no: For all x, if x sleeps, then x is a nurse.",yes +5175,predicate,inference,universal transitivity,inference,"Consider the following premises: For all x, if x works, then x is writing a letter. For all x, if x cooks, then x is working. Can we infer the following from them? Answer yes or no: For all x, if x cooks, then x is writing a letter.",yes +5176,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a soldier, then x is a doctor. For all x, if x were a janitor, then x is a soldier. Can we infer the following from them? Answer yes or no: For all x, x is a doctor.",no +5177,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x works, then x is playing a game. For all x, if x were a doctor, then x is working. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +5178,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a doctor, then x is a police officer. For all x, if x were a police officer, then x is an artist. Can we infer the following from them? Answer yes or no: For all x, x is an artist.",no +5179,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all w_2, if w_2 plays a game, then w_2 is an office clerk. For all w_2, if w_2 listens to a song, then w_2 is playing a game. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will listen to a song.",no +5180,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all w_2, if w_2 works, then w_2 is cooking. For all w_2, if w_2 cooks, then w_2 is an electrician. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will work.",no +5181,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u works, then u is a nurse. For all u, if u cooks, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",no +5182,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x cooks, then x is working. 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.",no +5183,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u works, then u is climbing a mountain. For all u, if u plays squash, then u is working. Can we infer the following from them? Answer yes or no: For all u, u will work.",no +5184,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is a poet. For all x, if x were a poet, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x will drink water.",no +5185,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a poet, then x is sleeping. For all x, if x were a politician, then x is a poet. Can we infer the following from them? Answer yes or no: For all x, x is a poet.",no +5186,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x plays a game, then x is taking a plane. For all x, if x takes a plane, then x is reading a book. Can we infer the following from them? Answer yes or no: For all x, x will play a game.",no +5187,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all w_2, if w_2 cooks, then w_2 is listening to a song. For all w_2, if w_2 takes a plane, then w_2 is cooking. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will cook.",no +5188,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x listens to a song, then x is cooking. For all x, if x cooks, then x is rich. Can we infer the following from them? Answer yes or no: For all x, x will listen to a song.",no +5189,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u listens to a song, then u is curious. For all u, if u were curious, then u is driving a car. Can we infer the following from them? Answer yes or no: For all u, u will listen to a song.",no +5190,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all u, if u reads a book, then u is a server. For all u, if u were a server, then u is running. Can we infer the following from them? Answer yes or no: For all u, u is a server.",no +5191,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all w_2, if w_2 were a server, then w_2 is running. For all w_2, if w_2 goes running, then w_2 is a cashier. Can we infer the following from them? Answer yes or no: For all w_2, w_2 is a cashier.",no +5192,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x plays a game, then x is working. For all x, if x were a server, then x is playing a game. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +5193,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 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 listen to a song.",no +5194,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x drinks water, then x is a server. For all x, if x sleeps, then x is drinking water. Can we infer the following from them? Answer yes or no: For all x, x is a server.",no +5195,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x makes tea, then x is climbing a mountain. For all x, if x were a taxi driver, then x is making tea. Can we infer the following from them? Answer yes or no: For all x, x is a taxi driver.",no +5196,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x goes running, then x is a musician. 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 go running.",no +5197,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all w_2, if w_2 were a janitor, then w_2 is a mechanic. For all w_2, if w_2 were a mechanic, then w_2 is climbing a mountain. Can we infer the following from them? Answer yes or no: For all w_2, w_2 will climb a mountain.",no +5198,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x makes tea, then x is working. For all x, if x works, then x is driving a car. Can we infer the following from them? Answer yes or no: For all x, x will work.",no +5199,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x were a politician, then x is driving a car. For all x, if x plays tennis, then x is a politician. Can we infer the following from them? Answer yes or no: For all x, x will drive a car.",no +5200,predicate,inference,universal transitivity,unrelated,"Consider the following premises: For all x, if x takes a plane, then x is an office clerk. For all x, if x works, then x is taking a plane. Can we infer the following from them? Answer yes or no: For all x, x will work.",no