conclusion
stringlengths 10
388
| premises
sequence | premises-FOL
sequence | label
stringclasses 3
values |
---|---|---|---|
LG34 is not with a resolution of 1080p. | [
"Some monitors equipped in the lab are produced by the company named AOC. ",
"All monitors equipped in the lab are cheaper than their original prices. ",
"If the monitor is cheaper than its original prices, then its resolution is 1080p. ",
"If a monitor is with a resolution of 1080p, then it does not support the type-c port. ",
"LG34 is equipped in the lab. "
] | [
"∃x (Lab(x) ∧ AOC(x))",
"∀x (Lab(x) → Cheaper(x))",
"∀x (Cheaper(x) → A1080p(x))",
"∀x (A1080p(x) → ¬TypeC(x))",
"Lab(lg-34)"
] | False |
Avocados are a kind of fruit sold in New York. | [
"All fruits sold in Boston are shipped from Columbia. ",
"Some fruits sold in New Haven are shipped from Mexico.",
"No fruits shipped from Columbia are fruits sold in New York. ",
"Avocadoe are a kind of fruit sold in New York or New York. ",
"Avocadoe are either shipped from Columbia and sold in New Haven, or neither shipped from Columbia nor sold in New Haven. "
] | [
"∀x (SoldBoston(x) → ShippedFromColumbia(x))",
"∃x (SoldNewHaven(x) ∧ ShippedFromMexico(x))",
"∀x (ShippedFromColumbia(x) → ¬SoldNewYork(x))",
"SoldNewYork(avocado) ∨ SoldBoston(avocado)",
"¬(ShippedFromColumbia(avocado) ⊕ SoldNewHaven(avocado))"
] | Unknown |
Avocados are either sold in New York or sold in New Haven. | [
"All fruits sold in Boston are shipped from Columbia. ",
"Some fruits sold in New Haven are shipped from Mexico.",
"No fruits shipped from Columbia are fruits sold in New York. ",
"Avocadoe are a kind of fruit sold in New York or New York. ",
"Avocadoe are either shipped from Columbia and sold in New Haven, or neither shipped from Columbia nor sold in New Haven. "
] | [
"∀x (SoldBoston(x) → ShippedFromColumbia(x))",
"∃x (SoldNewHaven(x) ∧ ShippedFromMexico(x))",
"∀x (ShippedFromColumbia(x) → ¬SoldNewYork(x))",
"SoldNewYork(avocado) ∨ SoldBoston(avocado)",
"¬(ShippedFromColumbia(avocado) ⊕ SoldNewHaven(avocado))"
] | True |
Avocados are either sold in New Haven or sold in Boston | [
"All fruits sold in Boston are shipped from Columbia. ",
"Some fruits sold in New Haven are shipped from Mexico.",
"No fruits shipped from Columbia are fruits sold in New York. ",
"Avocadoe are a kind of fruit sold in New York or New York. ",
"Avocadoe are either shipped from Columbia and sold in New Haven, or neither shipped from Columbia nor sold in New Haven. "
] | [
"∀x (SoldBoston(x) → ShippedFromColumbia(x))",
"∃x (SoldNewHaven(x) ∧ ShippedFromMexico(x))",
"∀x (ShippedFromColumbia(x) → ¬SoldNewYork(x))",
"SoldNewYork(avocado) ∨ SoldBoston(avocado)",
"¬(ShippedFromColumbia(avocado) ⊕ SoldNewHaven(avocado))"
] | False |
If avocados are not sold in New York and not shipped from Columbia, then they are neither sold in New York nor New Haven. | [
"All fruits sold in Boston are shipped from Columbia. ",
"Some fruits sold in New Haven are shipped from Mexico.",
"No fruits shipped from Columbia are fruits sold in New York. ",
"Avocadoe are a kind of fruit sold in New York or New York. ",
"Avocadoe are either shipped from Columbia and sold in New Haven, or neither shipped from Columbia nor sold in New Haven. "
] | [
"∀x (SoldBoston(x) → ShippedFromColumbia(x))",
"∃x (SoldNewHaven(x) ∧ ShippedFromMexico(x))",
"∀x (ShippedFromColumbia(x) → ¬SoldNewYork(x))",
"SoldNewYork(avocado) ∨ SoldBoston(avocado)",
"¬(ShippedFromColumbia(avocado) ⊕ SoldNewHaven(avocado))"
] | False |
A-2017 is produced by AOC. | [
"Some monitors equipped in the library are produced by AOC. ",
"All monitors equipped in the library are cheaper than 800 dollars. ",
"All monitors cheaper than 800 dollars are with a resolution of 1080p. ",
"If a monitor has a resolution of 1080p, then it does not support the type-c port. ",
"A-2017 supports the type-c port. "
] | [
"∃x (Library(x) ∧ AOC(x))",
"∀x (Library(x) → Cheap(x))",
"∀x (Cheap(x) → A1080p(x))",
"∀x (A1080p(x) → ¬TypeC(x))",
"TypeC(a-2017)"
] | Unknown |
A-2017 is produced by AOC and equipped in the library. | [
"Some monitors equipped in the library are produced by AOC. ",
"All monitors equipped in the library are cheaper than 800 dollars. ",
"All monitors cheaper than 800 dollars are with a resolution of 1080p. ",
"If a monitor has a resolution of 1080p, then it does not support the type-c port. ",
"A-2017 supports the type-c port. "
] | [
"∃x (Library(x) ∧ AOC(x))",
"∀x (Library(x) → Cheap(x))",
"∀x (Cheap(x) → A1080p(x))",
"∀x (A1080p(x) → ¬TypeC(x))",
"TypeC(a-2017)"
] | False |
If A-2017 is not with a resolution of 1080p or produced by AOC, then it is not equipped in the library. | [
"Some monitors equipped in the library are produced by AOC. ",
"All monitors equipped in the library are cheaper than 800 dollars. ",
"All monitors cheaper than 800 dollars are with a resolution of 1080p. ",
"If a monitor has a resolution of 1080p, then it does not support the type-c port. ",
"A-2017 supports the type-c port. "
] | [
"∃x (Library(x) ∧ AOC(x))",
"∀x (Library(x) → Cheap(x))",
"∀x (Cheap(x) → A1080p(x))",
"∀x (A1080p(x) → ¬TypeC(x))",
"TypeC(a-2017)"
] | True |
Some soccer team holds the Lithuanian Supercup. | [
"Sūduva Marijampolė holds the Lithuanian Supercup.",
"Sūduva Marijampolė is a soccer team."
] | [
"Hold(suduva, thelithuaniansupercup)",
"SoccerTeam(suduva)"
] | True |
There is a village in England. | [
"Ainderby Quernhow is a village and civil parish in the Hambleton District.",
"Hambleton District is in North Yorkshire.",
"North Yorkshire is in England."
] | [
"∀x (AinderbyQuernhow(x) → Village(x) ∧ CivilParish(x) ∧ Hambleton(x))",
"∀x (Hambleton(x) → NorthYorkshire(x))",
"∀x (NorthYorkshire(x) → England(x))"
] | True |
There is no civil parish in England. | [
"Ainderby Quernhow is a village and civil parish in the Hambleton District.",
"Hambleton District is in North Yorkshire.",
"North Yorkshire is in England."
] | [
"∀x (AinderbyQuernhow(x) → Village(x) ∧ CivilParish(x) ∧ Hambleton(x))",
"∀x (Hambleton(x) → NorthYorkshire(x))",
"∀x (NorthYorkshire(x) → England(x))"
] | False |
Douglas Adams is a writer. | [
"Douglas Adams is an author who created the book collection called The Salmon of Doubt. ",
"The Salmon of Doubt is about life experiences and technology.",
"All authors are writers.",
"Writers create innovative ideas.",
"Some books that contain innovative ideas are about technology."
] | [
"Author(douglasAdams) ∧ Book(theSalmonOfDoubt)",
"AboutLifeExperience(theSalmonOfDoubt) ∧ AboutTechnology(theSalmonOfDoubt)",
"∀x (Author(x) → Writer(x))",
"∀x (Writer(x) → CreateInnovativeIdea(x))",
"∃x (ContainInnovativeIdea(x) ∧ AboutTechnology(x))"
] | True |
Douglas Adams created innovative ideas. | [
"Douglas Adams is an author who created the book collection called The Salmon of Doubt. ",
"The Salmon of Doubt is about life experiences and technology.",
"All authors are writers.",
"Writers create innovative ideas.",
"Some books that contain innovative ideas are about technology."
] | [
"Author(douglasAdams) ∧ Book(theSalmonOfDoubt)",
"AboutLifeExperience(theSalmonOfDoubt) ∧ AboutTechnology(theSalmonOfDoubt)",
"∀x (Author(x) → Writer(x))",
"∀x (Writer(x) → CreateInnovativeIdea(x))",
"∃x (ContainInnovativeIdea(x) ∧ AboutTechnology(x))"
] | True |
The Salmon of Doubt has no innovative Ideas. | [
"Douglas Adams is an author who created the book collection called The Salmon of Doubt. ",
"The Salmon of Doubt is about life experiences and technology.",
"All authors are writers.",
"Writers create innovative ideas.",
"Some books that contain innovative ideas are about technology."
] | [
"Author(douglasAdams) ∧ Book(theSalmonOfDoubt)",
"AboutLifeExperience(theSalmonOfDoubt) ∧ AboutTechnology(theSalmonOfDoubt)",
"∀x (Author(x) → Writer(x))",
"∀x (Writer(x) → CreateInnovativeIdea(x))",
"∃x (ContainInnovativeIdea(x) ∧ AboutTechnology(x))"
] | Unknown |
Reformation is an eco-friendly brand. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | Unknown |
Reformation produces fast fashion products. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | False |
Reformation does not produce fast fashion products. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | True |
Reformation does not produce fast fashion products or does not produce disposable products. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | True |
If Reformation produces disposable products, then Reformation produces fast fashion products. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | True |
If Reformation produces fast fashion products or helps slow down global warming, then Reformation produces fast fashion products. | [
"No disposable products can help slow down global warming. ",
"All eco-friendly brands can help slow down global warming. ",
"All sustainable fashion brands are eco-friendly brands.",
"All fast fashion products are disposable products.",
"If Reformation is not helping slow down global warming, then Reformation is an eco-friendly brand or a sustainable fashion brand."
] | [
"∀x (DisposableProducts(x) → ¬HelpSlowDownGlobalWarming(x))",
" ∀x (Eco-friendlyBrand(x) → HelpSlowDownGlobalWarming(x))",
" ∀x (SustainableFashionBrand(x) → Eco-friendlyBrand(x))",
" ∀x (FastFashionProducts(x) → DisposableProducts(x)) ",
" ¬HelpSlowDownGlobalWarming(reformation) → Eco-friendlyBrand(reformation) ∨ SustainableFashionBrand(reformation)"
] | False |
Sherville Huggins has never dismissed anyone playing for a constituent country. | [
"Roy Richardson was a cricketer for Sint Maartener, a consituent country.",
"Roy Richardson was a right handed batsman and medium pace bowler.",
"Roy Richardson was old when he debuted in cricket.",
"Sherville Huggins dismissed Roy Richardson."
] | [
"Cricketeer(royrichardson) ∧ PlayedFor(royrichardson, sintmaartener) ∧ ConstituentCountry(sintmaartener)",
"RightHanded(royrichardson) ∧ Batsman(royrichardson) ∧ MediumPaceBowler(royrichardson)",
"Old(royrichardson) ∧ DebutedIn(royrichardson, cricket)",
"Dismissed(shervillehuggins, royrichardson)"
] | False |
There are no right handed medium pace bowlers playing for Sint Maartener. | [
"Roy Richardson was a cricketer for Sint Maartener, a consituent country.",
"Roy Richardson was a right handed batsman and medium pace bowler.",
"Roy Richardson was old when he debuted in cricket.",
"Sherville Huggins dismissed Roy Richardson."
] | [
"Cricketeer(royrichardson) ∧ PlayedFor(royrichardson, sintmaartener) ∧ ConstituentCountry(sintmaartener)",
"RightHanded(royrichardson) ∧ Batsman(royrichardson) ∧ MediumPaceBowler(royrichardson)",
"Old(royrichardson) ∧ DebutedIn(royrichardson, cricket)",
"Dismissed(shervillehuggins, royrichardson)"
] | False |
John is a Yale graduate. | [
"To get a job at Google, you need to have a lot of work experience or a good education.",
" All Yale graduates who submitted their resumes to Google got jobs there.",
" John has a lot of work experience.",
" John submitted his resume to Google and got a job there."
] | [
"∀x (Employed(x, google) → WorkExp(x) ∨ GoodEduc(x))",
"∀x ((Yale(x) ∧ CV(x, google)) → Employed(x, google))",
"WorkExp(john)",
"CV(john, google) ∧ Employed(john, google)"
] | Unknown |
Joe is a person taking classes. | [
"No students are doctors.",
"All people taking classes are students. ",
"All graduate students are people taking classes. ",
"All PhD students are graduate students. ",
"If Joe is a graduate student or a doctor (but not both), then Joe is not a graduate student and a student."
] | [
"∀x (Student(x) → ¬Doctor(x))",
"∀x (TakingClass(x) → Student(x))",
"∀x (GraduateStudent(x) → TakingClass(x))",
"∀x (PhDStudent(x) → GraduateStudent(x))",
"GraduateStudent(joe) ⊕ Doctor(joe) → ¬(GraduateStudent(joe) ^ Student(joe))"
] | Unknown |
Joe is a PhD student. | [
"No students are doctors.",
"All people taking classes are students. ",
"All graduate students are people taking classes. ",
"All PhD students are graduate students. ",
"If Joe is a graduate student or a doctor (but not both), then Joe is not a graduate student and a student."
] | [
"∀x (Student(x) → ¬Doctor(x))",
"∀x (TakingClass(x) → Student(x))",
"∀x (GraduateStudent(x) → TakingClass(x))",
"∀x (PhDStudent(x) → GraduateStudent(x))",
"GraduateStudent(joe) ⊕ Doctor(joe) → ¬(GraduateStudent(joe) ^ Student(joe))"
] | False |
Joe is not a PhD student. | [
"No students are doctors.",
"All people taking classes are students. ",
"All graduate students are people taking classes. ",
"All PhD students are graduate students. ",
"If Joe is a graduate student or a doctor (but not both), then Joe is not a graduate student and a student."
] | [
"∀x (Student(x) → ¬Doctor(x))",
"∀x (TakingClass(x) → Student(x))",
"∀x (GraduateStudent(x) → TakingClass(x))",
"∀x (PhDStudent(x) → GraduateStudent(x))",
"GraduateStudent(joe) ⊕ Doctor(joe) → ¬(GraduateStudent(joe) ^ Student(joe))"
] | True |
Hugh Vanstone is one of the world's leading ligting designers and from the uk | [
"Hugh Vanstone is one of the world's leading lighting designers. ",
"Hugh Vanstone is from the UK.",
"Hugh Vanstone has lit more than 160 productions.",
"Hugh Vanstone attended school where he is from. "
] | [
"WorldLeadingLightningDesigner(hughVanstone)",
"FromUK(hughVanstone)",
"LitOver160Productions(hughVanstone)",
"AttendedSchoolWhereFrom(hughVanstone)"
] | True |
Hugh Vanstone has lit 170 productions. | [
"Hugh Vanstone is one of the world's leading lighting designers. ",
"Hugh Vanstone is from the UK.",
"Hugh Vanstone has lit more than 160 productions.",
"Hugh Vanstone attended school where he is from. "
] | [
"WorldLeadingLightningDesigner(hughVanstone)",
"FromUK(hughVanstone)",
"LitOver160Productions(hughVanstone)",
"AttendedSchoolWhereFrom(hughVanstone)"
] | Unknown |
Hugh Vanstone attended school in the US. | [
"Hugh Vanstone is one of the world's leading lighting designers. ",
"Hugh Vanstone is from the UK.",
"Hugh Vanstone has lit more than 160 productions.",
"Hugh Vanstone attended school where he is from. "
] | [
"WorldLeadingLightningDesigner(hughVanstone)",
"FromUK(hughVanstone)",
"LitOver160Productions(hughVanstone)",
"AttendedSchoolWhereFrom(hughVanstone)"
] | Unknown |
Superman can run faster than Bolt. | [
"No man can run faster than Bolt. ",
"Superman is not a man."
] | [
"∀x (Man(x) → ¬FasterThanBolt(x))",
"¬Man(superman) "
] | Unknown |
An American scientist has been called the "father of the analysis of algorithms". | [
"Donald Ervin Knuth is an American computer scientist, mathematician, and Professor Emeritus at Stanford University.",
"Knuth has been called the \"father of the analysis of algorithms\"."
] | [
"AmericanComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorStanford(donaldErvinKnuth)",
"BeCalled(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)"
] | True |
A mathematician has been called the "father of the analysis of algorithms". | [
"Donald Ervin Knuth is an American computer scientist, mathematician, and Professor Emeritus at Stanford University.",
"Knuth has been called the \"father of the analysis of algorithms\"."
] | [
"AmericanComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorStanford(donaldErvinKnuth)",
"BeCalled(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)"
] | True |
Donald Knuth is a well-known figure in the field of artificial intelligence . | [
"Donald Ervin Knuth is an American computer scientist, mathematician, and Professor Emeritus at Stanford University.",
"Knuth has been called the \"father of the analysis of algorithms\"."
] | [
"AmericanComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorStanford(donaldErvinKnuth)",
"BeCalled(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)"
] | Unknown |
There is a flea beetle within the Chrysomelidae family. | [
"Neocrepidodera Corpulentas are flea beetles or moths.",
"The species Neocrepidodera Corpulenta is in the Chrysomelidae family.",
"There are no moths within the Chrysomelidae family."
] | [
"FleaBeetle(neocrepidoderacorpulenta) ∨ Moth(neocrepidoderacorpulenta)",
"Species(neocrepidoderacorpulenta) ∧ Family(chrysomelidae) ∧ In(neocrepidoderacorpulenta, chrysomelidae)",
"∀x (In(x, chrysomelidae) ∧ Family(chrysomelidae) → ¬Moth(x))"
] | True |
There are no flea beetles within the Chrysomelidae family. | [
"Neocrepidodera Corpulentas are flea beetles or moths.",
"The species Neocrepidodera Corpulenta is in the Chrysomelidae family.",
"There are no moths within the Chrysomelidae family."
] | [
"FleaBeetle(neocrepidoderacorpulenta) ∨ Moth(neocrepidoderacorpulenta)",
"Species(neocrepidoderacorpulenta) ∧ Family(chrysomelidae) ∧ In(neocrepidoderacorpulenta, chrysomelidae)",
"∀x (In(x, chrysomelidae) ∧ Family(chrysomelidae) → ¬Moth(x))"
] | False |
Carrozzeria Colli made car bodies in 1931. | [
"Carrozzeria Colli is a Milanese coachbuilder company that was established by Giuseppe Colli in 1931.",
"Carrozzeria Colli is a company that specialized in using aluminum.",
"The first automobiles built by Carrozzeria Colli were racing cars.",
"Some racing cars built by Carrozzeria Colli used Fiat 1100 mechanicals and chasis.",
"Carrozzeria Colli worked for airforces.",
"Carrozzeria Colli made car bodies. "
] | [
"MilaneseCoachbuilderCompany(carrozzeriacolli) ∧ EstablishedBy(carrozzeriacolli, giuseppecolli) ∧ EstablishedIn(carrozzeriacolli, y1901)",
"SpecializedIn(carrozzeriacolli, usingaluminum)",
"∀x (FirstAutomobilesBy(x, carrozzeriacolli) → Racingcar(x))",
"∃x (RacingCar(x) ∧ BuiltBy(x, carrozzeriacolli) ∧ Used(x, fiat110mechanicals) ∧ Used(x, chasis))",
"∃x (Airforce(x) ∧ WorkedFor(carrozzeriacolli, x))",
"Made(carrozzeriacolli, carbodies)"
] | Unknown |
Carrozzeria Colli built airplanes during World War II. | [
"Carrozzeria Colli is a Milanese coachbuilder company that was established by Giuseppe Colli in 1931.",
"Carrozzeria Colli is a company that specialized in using aluminum.",
"The first automobiles built by Carrozzeria Colli were racing cars.",
"Some racing cars built by Carrozzeria Colli used Fiat 1100 mechanicals and chasis.",
"Carrozzeria Colli worked for airforces.",
"Carrozzeria Colli made car bodies. "
] | [
"MilaneseCoachbuilderCompany(carrozzeriacolli) ∧ EstablishedBy(carrozzeriacolli, giuseppecolli) ∧ EstablishedIn(carrozzeriacolli, y1901)",
"SpecializedIn(carrozzeriacolli, usingaluminum)",
"∀x (FirstAutomobilesBy(x, carrozzeriacolli) → Racingcar(x))",
"∃x (RacingCar(x) ∧ BuiltBy(x, carrozzeriacolli) ∧ Used(x, fiat110mechanicals) ∧ Used(x, chasis))",
"∃x (Airforce(x) ∧ WorkedFor(carrozzeriacolli, x))",
"Made(carrozzeriacolli, carbodies)"
] | Unknown |
Giuseppe Colli established a company that made car bodies. | [
"Carrozzeria Colli is a Milanese coachbuilder company that was established by Giuseppe Colli in 1931.",
"Carrozzeria Colli is a company that specialized in using aluminum.",
"The first automobiles built by Carrozzeria Colli were racing cars.",
"Some racing cars built by Carrozzeria Colli used Fiat 1100 mechanicals and chasis.",
"Carrozzeria Colli worked for airforces.",
"Carrozzeria Colli made car bodies. "
] | [
"MilaneseCoachbuilderCompany(carrozzeriacolli) ∧ EstablishedBy(carrozzeriacolli, giuseppecolli) ∧ EstablishedIn(carrozzeriacolli, y1901)",
"SpecializedIn(carrozzeriacolli, usingaluminum)",
"∀x (FirstAutomobilesBy(x, carrozzeriacolli) → Racingcar(x))",
"∃x (RacingCar(x) ∧ BuiltBy(x, carrozzeriacolli) ∧ Used(x, fiat110mechanicals) ∧ Used(x, chasis))",
"∃x (Airforce(x) ∧ WorkedFor(carrozzeriacolli, x))",
"Made(carrozzeriacolli, carbodies)"
] | True |
Giuseppe Colli established a Milanese coachbuilder company that specialized in using aluminum. | [
"Carrozzeria Colli is a Milanese coachbuilder company that was established by Giuseppe Colli in 1931.",
"Carrozzeria Colli is a company that specialized in using aluminum.",
"The first automobiles built by Carrozzeria Colli were racing cars.",
"Some racing cars built by Carrozzeria Colli used Fiat 1100 mechanicals and chasis.",
"Carrozzeria Colli worked for airforces.",
"Carrozzeria Colli made car bodies. "
] | [
"MilaneseCoachbuilderCompany(carrozzeriacolli) ∧ EstablishedBy(carrozzeriacolli, giuseppecolli) ∧ EstablishedIn(carrozzeriacolli, y1901)",
"SpecializedIn(carrozzeriacolli, usingaluminum)",
"∀x (FirstAutomobilesBy(x, carrozzeriacolli) → Racingcar(x))",
"∃x (RacingCar(x) ∧ BuiltBy(x, carrozzeriacolli) ∧ Used(x, fiat110mechanicals) ∧ Used(x, chasis))",
"∃x (Airforce(x) ∧ WorkedFor(carrozzeriacolli, x))",
"Made(carrozzeriacolli, carbodies)"
] | True |
The first automobiles built by Carrozzeria Colli were built using Fiat 1100 mechanicals and chasis. | [
"Carrozzeria Colli is a Milanese coachbuilder company that was established by Giuseppe Colli in 1931.",
"Carrozzeria Colli is a company that specialized in using aluminum.",
"The first automobiles built by Carrozzeria Colli were racing cars.",
"Some racing cars built by Carrozzeria Colli used Fiat 1100 mechanicals and chasis.",
"Carrozzeria Colli worked for airforces.",
"Carrozzeria Colli made car bodies. "
] | [
"MilaneseCoachbuilderCompany(carrozzeriacolli) ∧ EstablishedBy(carrozzeriacolli, giuseppecolli) ∧ EstablishedIn(carrozzeriacolli, y1901)",
"SpecializedIn(carrozzeriacolli, usingaluminum)",
"∀x (FirstAutomobilesBy(x, carrozzeriacolli) → Racingcar(x))",
"∃x (RacingCar(x) ∧ BuiltBy(x, carrozzeriacolli) ∧ Used(x, fiat110mechanicals) ∧ Used(x, chasis))",
"∃x (Airforce(x) ∧ WorkedFor(carrozzeriacolli, x))",
"Made(carrozzeriacolli, carbodies)"
] | Unknown |
John will go to the cinema. | [
"John will go to the cinema if and only if Jack goes to the cinema today.",
"Jack will go to the cinema if and only if Iron Man is on and the weather is not bad today.",
"Some days in March have bad weather.",
"Iron man is on.",
"It's March now."
] | [
"GoToTheCinema(john, today) ↔ GoToTheCinema(jack, today)",
"GoToTheCinema(jack, today) ↔ (Movie(ironman) ∧ ¬BadWeather(today))",
"∃x (Month(march) → BadWeather(x))",
"Movie(ironman)",
"Month(march)"
] | Unknown |
The weather is good today. | [
"John will go to the cinema if and only if Jack goes to the cinema today.",
"Jack will go to the cinema if and only if Iron Man is on and the weather is not bad today.",
"Some days in March have bad weather.",
"Iron man is on.",
"It's March now."
] | [
"GoToTheCinema(john, today) ↔ GoToTheCinema(jack, today)",
"GoToTheCinema(jack, today) ↔ (Movie(ironman) ∧ ¬BadWeather(today))",
"∃x (Month(march) → BadWeather(x))",
"Movie(ironman)",
"Month(march)"
] | Unknown |
Quiksilver sells beer. | [
"Quiksilver sells sportswear, clothing, footwear, and accessories.",
"Flannels are a type of clothing.",
"Joe owns an item fron Quiksilver."
] | [
"∀x (QuiksilverSells(x) → Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x))",
"Clothing(flannel)",
"∃x (QuiksilverSells(x) → JoeOwns(x))"
] | Unknown |
Joe owns a flannel. | [
"Quiksilver sells sportswear, clothing, footwear, and accessories.",
"Flannels are a type of clothing.",
"Joe owns an item fron Quiksilver."
] | [
"∀x (QuiksilverSells(x) → Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x))",
"Clothing(flannel)",
"∃x (QuiksilverSells(x) → JoeOwns(x))"
] | Unknown |
Joe owns at least one a piece of sportswear, clothing, footwear, or accessory | [
"Quiksilver sells sportswear, clothing, footwear, and accessories.",
"Flannels are a type of clothing.",
"Joe owns an item fron Quiksilver."
] | [
"∀x (QuiksilverSells(x) → Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x))",
"Clothing(flannel)",
"∃x (QuiksilverSells(x) → JoeOwns(x))"
] | True |
The video game "Be Lionel" is in the pokemon series. | [
"No video games released by Nintendo support the PS4 platform.",
"All video games in the Pokemon series are released by Nintendo. ",
"All video games in the FIFA series support the PS4 platform. ",
"All video games supporting users to simulate playing soccer games online are in the FIFA series.",
"The video game named “Be Lionel” is in the Pokemon series or supports users to simulate playing football games online."
] | [
"∀x (Nintendo(x) → ¬SupportPS4(x))",
"∀x (Pokemon(x) → Nintendo(x))",
"∀x (FIFA(x) → SupportPS4(x))",
"∀x (SoccerOnline(x) → FIFA(x))",
"Pokemon(belionel) ⊕ SoccerOnline(belionel)"
] | Unknown |
The video game named “Be Lionel” is not in the FIFA series or supports the PS4 platform. | [
"No video games released by Nintendo support the PS4 platform.",
"All video games in the Pokemon series are released by Nintendo. ",
"All video games in the FIFA series support the PS4 platform. ",
"All video games supporting users to simulate playing soccer games online are in the FIFA series.",
"The video game named “Be Lionel” is in the Pokemon series or supports users to simulate playing football games online."
] | [
"∀x (Nintendo(x) → ¬SupportPS4(x))",
"∀x (Pokemon(x) → Nintendo(x))",
"∀x (FIFA(x) → SupportPS4(x))",
"∀x (SoccerOnline(x) → FIFA(x))",
"Pokemon(belionel) ⊕ SoccerOnline(belionel)"
] | True |
The video game named “Be Lionel” is in the FIFA series or supports the PS4 platform. | [
"No video games released by Nintendo support the PS4 platform.",
"All video games in the Pokemon series are released by Nintendo. ",
"All video games in the FIFA series support the PS4 platform. ",
"All video games supporting users to simulate playing soccer games online are in the FIFA series.",
"The video game named “Be Lionel” is in the Pokemon series or supports users to simulate playing football games online."
] | [
"∀x (Nintendo(x) → ¬SupportPS4(x))",
"∀x (Pokemon(x) → Nintendo(x))",
"∀x (FIFA(x) → SupportPS4(x))",
"∀x (SoccerOnline(x) → FIFA(x))",
"Pokemon(belionel) ⊕ SoccerOnline(belionel)"
] | False |
The video game named “Be Lionel” is not in the FIFA or Pokemon series. | [
"No video games released by Nintendo support the PS4 platform.",
"All video games in the Pokemon series are released by Nintendo. ",
"All video games in the FIFA series support the PS4 platform. ",
"All video games supporting users to simulate playing soccer games online are in the FIFA series.",
"The video game named “Be Lionel” is in the Pokemon series or supports users to simulate playing football games online."
] | [
"∀x (Nintendo(x) → ¬SupportPS4(x))",
"∀x (Pokemon(x) → Nintendo(x))",
"∀x (FIFA(x) → SupportPS4(x))",
"∀x (SoccerOnline(x) → FIFA(x))",
"Pokemon(belionel) ⊕ SoccerOnline(belionel)"
] | False |
Bank of America payment cards are international. | [
"No payment cards issued by Russian banks can be used with ApplePay.",
"All MIR payment cards are issued by Russian banks.",
"Some international payment cards can be used with ApplePay.",
"Social payments in Russia can only be transferred to MIR payment cards.",
"Bank of America payment cards can be used with ApplePay."
] | [
"∀x (RussianBank(x) → ¬ApplePay(x))",
"∀x (Mir(x) → RussianBank(x))",
"∃x (International(x) → ApplePay(x))",
"∀x (SocialRussia(x) → Mir(x))",
"ApplePay(boapaymentcards)"
] | Unknown |
Bank of America payment cards are international and can be used to transfer social payments in Russia. | [
"No payment cards issued by Russian banks can be used with ApplePay.",
"All MIR payment cards are issued by Russian banks.",
"Some international payment cards can be used with ApplePay.",
"Social payments in Russia can only be transferred to MIR payment cards.",
"Bank of America payment cards can be used with ApplePay."
] | [
"∀x (RussianBank(x) → ¬ApplePay(x))",
"∀x (Mir(x) → RussianBank(x))",
"∃x (International(x) → ApplePay(x))",
"∀x (SocialRussia(x) → Mir(x))",
"ApplePay(boapaymentcards)"
] | False |
If Bank of America payment cards are international or issued by Russian banks, then they can not be used to transfer social payments in Russia. | [
"No payment cards issued by Russian banks can be used with ApplePay.",
"All MIR payment cards are issued by Russian banks.",
"Some international payment cards can be used with ApplePay.",
"Social payments in Russia can only be transferred to MIR payment cards.",
"Bank of America payment cards can be used with ApplePay."
] | [
"∀x (RussianBank(x) → ¬ApplePay(x))",
"∀x (Mir(x) → RussianBank(x))",
"∃x (International(x) → ApplePay(x))",
"∀x (SocialRussia(x) → Mir(x))",
"ApplePay(boapaymentcards)"
] | True |
The Lumina APV is van. | [
"The Lumina APV is produced by Chevrolet. ",
"The Astro is a van produced by Chevrolet. ",
"Cars produced by Chevrolet are either cars or vans."
] | [
"Chevrolet(luminaAPV)",
"Chevrolet(astro) ∧ Van(astro)",
"∀x (Chevrolet(x) → Car(x) ⊕ Van(x))"
] | Unknown |
The Lumina APV is either a car or a van. | [
"The Lumina APV is produced by Chevrolet. ",
"The Astro is a van produced by Chevrolet. ",
"Cars produced by Chevrolet are either cars or vans."
] | [
"Chevrolet(luminaAPV)",
"Chevrolet(astro) ∧ Van(astro)",
"∀x (Chevrolet(x) → Car(x) ⊕ Van(x))"
] | True |
The Astro is a van. | [
"The Lumina APV is produced by Chevrolet. ",
"The Astro is a van produced by Chevrolet. ",
"Cars produced by Chevrolet are either cars or vans."
] | [
"Chevrolet(luminaAPV)",
"Chevrolet(astro) ∧ Van(astro)",
"∀x (Chevrolet(x) → Car(x) ⊕ Van(x))"
] | True |
The Astro is a car. | [
"The Lumina APV is produced by Chevrolet. ",
"The Astro is a van produced by Chevrolet. ",
"Cars produced by Chevrolet are either cars or vans."
] | [
"Chevrolet(luminaAPV)",
"Chevrolet(astro) ∧ Van(astro)",
"∀x (Chevrolet(x) → Car(x) ⊕ Van(x))"
] | False |
George is a person who works from home. | [
"Everyone who works in person is a commuter.",
"People either work in person or work from home.",
"Everyone who works from home has a relaxed schedule.",
"George is either a commuter or has a home office setup.",
"If George is either a person who works from home or has a home office setup, then George is not a person who works from home and a commuter."
] | [
"∀x (InPerson(x) → Commuter(x))",
"∀x (InPerson(x) ⊕ FromHome(x))",
"∀x (FromHome(x) → Relaxed(x))",
"Commuter(george) ⊕ HomeOffice(george)",
"FromHome(george) ⊕ HomeOffice(george) → ¬(FromHome(george) ∧ Commuter(george))"
] | Unknown |
If George is not a person who works from home and a person who works in person, then George is neither a commuter nor a person who has a relaxed schedule. | [
"Everyone who works in person is a commuter.",
"People either work in person or work from home.",
"Everyone who works from home has a relaxed schedule.",
"George is either a commuter or has a home office setup.",
"If George is either a person who works from home or has a home office setup, then George is not a person who works from home and a commuter."
] | [
"∀x (InPerson(x) → Commuter(x))",
"∀x (InPerson(x) ⊕ FromHome(x))",
"∀x (FromHome(x) → Relaxed(x))",
"Commuter(george) ⊕ HomeOffice(george)",
"FromHome(george) ⊕ HomeOffice(george) → ¬(FromHome(george) ∧ Commuter(george))"
] | False |
If George is either a person who has a home office setup and a person who works in person, or neither a person who has a home office setup nor a person who works in person, then George is either a person who works from home or a person who has a relaxed schedule. | [
"Everyone who works in person is a commuter.",
"People either work in person or work from home.",
"Everyone who works from home has a relaxed schedule.",
"George is either a commuter or has a home office setup.",
"If George is either a person who works from home or has a home office setup, then George is not a person who works from home and a commuter."
] | [
"∀x (InPerson(x) → Commuter(x))",
"∀x (InPerson(x) ⊕ FromHome(x))",
"∀x (FromHome(x) → Relaxed(x))",
"Commuter(george) ⊕ HomeOffice(george)",
"FromHome(george) ⊕ HomeOffice(george) → ¬(FromHome(george) ∧ Commuter(george))"
] | True |
Joe Rogan is American. | [
"Jason Kramer is an American music supervisor.",
"Some American radio personalities are also music supervisors. ",
"Anyone who hosts a show on a public radio station is a radio personality.",
"Joe Rogan is a radio personality.",
"Jason Kramer hosted a show on a public radio station."
] | [
"MusicSupervisor(jasonKramer) ∧ American(jasonKramer)",
"∃x (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x))",
"∀x (HostShowOnPublicRadioStation(x) → RadioPersonality(x))",
"RadioPersonality(joeRogan)",
"HostShowOnPublicRadioStation(jasonKramer)"
] | Unknown |
Jason Kramer is a music supervisor. | [
"Jason Kramer is an American music supervisor.",
"Some American radio personalities are also music supervisors. ",
"Anyone who hosts a show on a public radio station is a radio personality.",
"Joe Rogan is a radio personality.",
"Jason Kramer hosted a show on a public radio station."
] | [
"MusicSupervisor(jasonKramer) ∧ American(jasonKramer)",
"∃x (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x))",
"∀x (HostShowOnPublicRadioStation(x) → RadioPersonality(x))",
"RadioPersonality(joeRogan)",
"HostShowOnPublicRadioStation(jasonKramer)"
] | True |
Jason Kramer is a radio personality. | [
"Jason Kramer is an American music supervisor.",
"Some American radio personalities are also music supervisors. ",
"Anyone who hosts a show on a public radio station is a radio personality.",
"Joe Rogan is a radio personality.",
"Jason Kramer hosted a show on a public radio station."
] | [
"MusicSupervisor(jasonKramer) ∧ American(jasonKramer)",
"∃x (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x))",
"∀x (HostShowOnPublicRadioStation(x) → RadioPersonality(x))",
"RadioPersonality(joeRogan)",
"HostShowOnPublicRadioStation(jasonKramer)"
] | True |
Civet Coffee is produced in France. | [
"No coffee sold in Walmart is produced in France. ",
"All coffee supplied by the company is sold in Walmart. ",
"All coffee produced in Columbia is produced in France. ",
"All coffee favored by local residents is coffee produced in Columbia. ",
"All coffee with high prices is favored by local residents. ",
"Civet Coffee is not produced in Columbia and is cheap.",
"Jamaica Blue is sold in Walmart or favored by local residents."
] | [
"∀x (Walmart(x) → ¬France(x))",
"∀x (Company(x) → Walmart(x))",
"∀x (Columbia(x) → France(x))",
"∀x (Favored(x) → Columbia(x))",
"∀x (HighPrice(x) → Favored(x))",
"¬(Columbia(civetcoffee) ∧ HighPrice(civetcoffee))",
"Walmart(jamaicablue) ∨ Favored(jamaicablue)"
] | Unknown |
Civet Coffee is not produced in France. | [
"No coffee sold in Walmart is produced in France. ",
"All coffee supplied by the company is sold in Walmart. ",
"All coffee produced in Columbia is produced in France. ",
"All coffee favored by local residents is coffee produced in Columbia. ",
"All coffee with high prices is favored by local residents. ",
"Civet Coffee is not produced in Columbia and is cheap.",
"Jamaica Blue is sold in Walmart or favored by local residents."
] | [
"∀x (Walmart(x) → ¬France(x))",
"∀x (Company(x) → Walmart(x))",
"∀x (Columbia(x) → France(x))",
"∀x (Favored(x) → Columbia(x))",
"∀x (HighPrice(x) → Favored(x))",
"¬(Columbia(civetcoffee) ∧ HighPrice(civetcoffee))",
"Walmart(jamaicablue) ∨ Favored(jamaicablue)"
] | Unknown |
Jamaica Blue is expensive and supplied by the company. | [
"No coffee sold in Walmart is produced in France. ",
"All coffee supplied by the company is sold in Walmart. ",
"All coffee produced in Columbia is produced in France. ",
"All coffee favored by local residents is coffee produced in Columbia. ",
"All coffee with high prices is favored by local residents. ",
"Civet Coffee is not produced in Columbia and is cheap.",
"Jamaica Blue is sold in Walmart or favored by local residents."
] | [
"∀x (Walmart(x) → ¬France(x))",
"∀x (Company(x) → Walmart(x))",
"∀x (Columbia(x) → France(x))",
"∀x (Favored(x) → Columbia(x))",
"∀x (HighPrice(x) → Favored(x))",
"¬(Columbia(civetcoffee) ∧ HighPrice(civetcoffee))",
"Walmart(jamaicablue) ∨ Favored(jamaicablue)"
] | False |
Jamaica Blue is not expensive and is not supplied by the company. | [
"No coffee sold in Walmart is produced in France. ",
"All coffee supplied by the company is sold in Walmart. ",
"All coffee produced in Columbia is produced in France. ",
"All coffee favored by local residents is coffee produced in Columbia. ",
"All coffee with high prices is favored by local residents. ",
"Civet Coffee is not produced in Columbia and is cheap.",
"Jamaica Blue is sold in Walmart or favored by local residents."
] | [
"∀x (Walmart(x) → ¬France(x))",
"∀x (Company(x) → Walmart(x))",
"∀x (Columbia(x) → France(x))",
"∀x (Favored(x) → Columbia(x))",
"∀x (HighPrice(x) → Favored(x))",
"¬(Columbia(civetcoffee) ∧ HighPrice(civetcoffee))",
"Walmart(jamaicablue) ∨ Favored(jamaicablue)"
] | True |
Rochelle lives in Galicia. | [
"There are two places named Galicia: either in Spain or in Poland.",
"Spain is in Europe.",
"Poland is in Europe.",
"Rochelle lives in Europe.",
"Dominique does not live in Europe.",
"Alfonso lives in Galicia."
] | [
"∀x (Galicia(x) → Spain(x) ⊕ Poland(x))",
"∀x (Spain(x) → Europe(x))",
"∀x (Poland(x) → Europe(x))",
"∀x (RochelleLive(x) → Europe(x))",
"∀x (DominiqueLive(x) → ¬Europe(x))",
"∀x (AlfonsoLive(x) → Galicia(x))"
] | Unknown |
Dominique does not live in Spain. | [
"There are two places named Galicia: either in Spain or in Poland.",
"Spain is in Europe.",
"Poland is in Europe.",
"Rochelle lives in Europe.",
"Dominique does not live in Europe.",
"Alfonso lives in Galicia."
] | [
"∀x (Galicia(x) → Spain(x) ⊕ Poland(x))",
"∀x (Spain(x) → Europe(x))",
"∀x (Poland(x) → Europe(x))",
"∀x (RochelleLive(x) → Europe(x))",
"∀x (DominiqueLive(x) → ¬Europe(x))",
"∀x (AlfonsoLive(x) → Galicia(x))"
] | True |
Alfonso lives in Europe. | [
"There are two places named Galicia: either in Spain or in Poland.",
"Spain is in Europe.",
"Poland is in Europe.",
"Rochelle lives in Europe.",
"Dominique does not live in Europe.",
"Alfonso lives in Galicia."
] | [
"∀x (Galicia(x) → Spain(x) ⊕ Poland(x))",
"∀x (Spain(x) → Europe(x))",
"∀x (Poland(x) → Europe(x))",
"∀x (RochelleLive(x) → Europe(x))",
"∀x (DominiqueLive(x) → ¬Europe(x))",
"∀x (AlfonsoLive(x) → Galicia(x))"
] | True |
Ralph Hammerthaler is a writer born in Asia. | [
"Ralph Hammerthaler was born in Wasserburg am Inn.",
"Wasserburg am Inn is in Germany.",
"Germany is in Europe.",
"Ralph Hammerthaler is a German writer.",
"Ralph Hammerthaler was born in 1965. "
] | [
"BornIn(ralphHammerthaler, wasserburgAmInn)",
"LocatedIn(wasserbAmInn, germany)",
"LocatedIn(germany, europe)",
"Writer(ralphHammerthaler)",
"BornIn1965(ralphHammerthaler)"
] | Unknown |
Ralph Hammerthaler lives in Germany. | [
"Ralph Hammerthaler was born in Wasserburg am Inn.",
"Wasserburg am Inn is in Germany.",
"Germany is in Europe.",
"Ralph Hammerthaler is a German writer.",
"Ralph Hammerthaler was born in 1965. "
] | [
"BornIn(ralphHammerthaler, wasserburgAmInn)",
"LocatedIn(wasserbAmInn, germany)",
"LocatedIn(germany, europe)",
"Writer(ralphHammerthaler)",
"BornIn1965(ralphHammerthaler)"
] | Unknown |
2001 is a book that has won a Hugo Award. | [
"All books written by Tomas have sold more than 1 million copies. ",
"Some books that have won Hugo Awards are written by Tomas.",
"All books about the future are inspired by Shakespeare. ",
"2001 is a book either inspired from Shakespeare or it has sold more than 1 million copies.",
"2001 is a book that has either sold more than 1 million copies or it was written by Tomas."
] | [
"∀x (WrittenByTomas(x) → SoldOneMillion(x))",
"∃x (WinningHugoAward(x) ∧ WrittenByTomas(x))",
"∀x (AboutFuture(x) → InspiredFromShakespeare(x))",
"InspiredFromShakespeare(y2001) ⊕ SoldOneMillion(y2001) ",
"SoldOneMillion(y2001) ⊕ WrittenByTomas(y2001)"
] | Unknown |
2001 is a book that has won a Hugo Award and is about the future. | [
"All books written by Tomas have sold more than 1 million copies. ",
"Some books that have won Hugo Awards are written by Tomas.",
"All books about the future are inspired by Shakespeare. ",
"2001 is a book either inspired from Shakespeare or it has sold more than 1 million copies.",
"2001 is a book that has either sold more than 1 million copies or it was written by Tomas."
] | [
"∀x (WrittenByTomas(x) → SoldOneMillion(x))",
"∃x (WinningHugoAward(x) ∧ WrittenByTomas(x))",
"∀x (AboutFuture(x) → InspiredFromShakespeare(x))",
"InspiredFromShakespeare(y2001) ⊕ SoldOneMillion(y2001) ",
"SoldOneMillion(y2001) ⊕ WrittenByTomas(y2001)"
] | False |
If 2001 either has won a Hugo Award and is about the future, or neither has won a Hugo Award nor is about the future, then 2001 has neither won a Hugo Award nor is written by Tomas. | [
"All books written by Tomas have sold more than 1 million copies. ",
"Some books that have won Hugo Awards are written by Tomas.",
"All books about the future are inspired by Shakespeare. ",
"2001 is a book either inspired from Shakespeare or it has sold more than 1 million copies.",
"2001 is a book that has either sold more than 1 million copies or it was written by Tomas."
] | [
"∀x (WrittenByTomas(x) → SoldOneMillion(x))",
"∃x (WinningHugoAward(x) ∧ WrittenByTomas(x))",
"∀x (AboutFuture(x) → InspiredFromShakespeare(x))",
"InspiredFromShakespeare(y2001) ⊕ SoldOneMillion(y2001) ",
"SoldOneMillion(y2001) ⊕ WrittenByTomas(y2001)"
] | True |
Grapes are a food. | [
"No grass is food. ",
"All meadows are grass.",
"All edible things are food. ",
"All fruits are edible.",
"All lemons are fruit.",
"Grapes are not edible and lemons.",
"Bananas are grass or fruit."
] | [
"∀x (Grass(x) → ¬Food(x))",
"∀x (Meadow(x) → Grass(x))",
"∀x (Edible(x) → Food(x))",
"∀x (Fruit(x) → Edible(x))",
"∀x (Lemon(x) → Fruit(x))",
"¬(Edible(grape) ∧ Lemon(grape))",
"Grass(banana) ∨ Fruit(banana)"
] | Unknown |
Grapes are not a food. | [
"No grass is food. ",
"All meadows are grass.",
"All edible things are food. ",
"All fruits are edible.",
"All lemons are fruit.",
"Grapes are not edible and lemons.",
"Bananas are grass or fruit."
] | [
"∀x (Grass(x) → ¬Food(x))",
"∀x (Meadow(x) → Grass(x))",
"∀x (Edible(x) → Food(x))",
"∀x (Fruit(x) → Edible(x))",
"∀x (Lemon(x) → Fruit(x))",
"¬(Edible(grape) ∧ Lemon(grape))",
"Grass(banana) ∨ Fruit(banana)"
] | Unknown |
Bananas are a lemon and meadow. | [
"No grass is food. ",
"All meadows are grass.",
"All edible things are food. ",
"All fruits are edible.",
"All lemons are fruit.",
"Grapes are not edible and lemons.",
"Bananas are grass or fruit."
] | [
"∀x (Grass(x) → ¬Food(x))",
"∀x (Meadow(x) → Grass(x))",
"∀x (Edible(x) → Food(x))",
"∀x (Fruit(x) → Edible(x))",
"∀x (Lemon(x) → Fruit(x))",
"¬(Edible(grape) ∧ Lemon(grape))",
"Grass(banana) ∨ Fruit(banana)"
] | False |
Bananas are not both a lemon and a meadow. | [
"No grass is food. ",
"All meadows are grass.",
"All edible things are food. ",
"All fruits are edible.",
"All lemons are fruit.",
"Grapes are not edible and lemons.",
"Bananas are grass or fruit."
] | [
"∀x (Grass(x) → ¬Food(x))",
"∀x (Meadow(x) → Grass(x))",
"∀x (Edible(x) → Food(x))",
"∀x (Fruit(x) → Edible(x))",
"∀x (Lemon(x) → Fruit(x))",
"¬(Edible(grape) ∧ Lemon(grape))",
"Grass(banana) ∨ Fruit(banana)"
] | True |
The Boston Celtics is from San Francisco. | [
"The Golden State Warriors are a team from San Francisco.",
"The Golden State Warriors won the NBA finals.",
"All teams attending the NBA finals have more than thirty years of history.",
"Boston Celtics are a team that lost the NBA finals.",
"If a team wins the NBA finals, then they will have more income.",
"If a team wins or loses at the NBA finals, then they are attending the finals."
] | [
"Team(goldenstatewarriors) ∧ From(goldenstatewarriors, sanfrancisco)",
"Won(goldenstatewarriors, nbafinals)",
"∀x (team(x) ∧ Attending(x, nbafinals) → HasMoreThan(x, thirtyyearsofhistory))",
"Team(bostonceltics) ∧ Lost(bostonceltics, nbafinals)",
"∀x (Team(x) ∧ Won(x, nbafinals) → MoreIncome(x))",
"∀x (Won(x, nbafinals) ∨ Lost(x, nbafinals) → Attending(x, nbafinals))"
] | Unknown |
The Boston Celtics has more than 30 years of experience. | [
"The Golden State Warriors are a team from San Francisco.",
"The Golden State Warriors won the NBA finals.",
"All teams attending the NBA finals have more than thirty years of history.",
"Boston Celtics are a team that lost the NBA finals.",
"If a team wins the NBA finals, then they will have more income.",
"If a team wins or loses at the NBA finals, then they are attending the finals."
] | [
"Team(goldenstatewarriors) ∧ From(goldenstatewarriors, sanfrancisco)",
"Won(goldenstatewarriors, nbafinals)",
"∀x (team(x) ∧ Attending(x, nbafinals) → HasMoreThan(x, thirtyyearsofhistory))",
"Team(bostonceltics) ∧ Lost(bostonceltics, nbafinals)",
"∀x (Team(x) ∧ Won(x, nbafinals) → MoreIncome(x))",
"∀x (Won(x, nbafinals) ∨ Lost(x, nbafinals) → Attending(x, nbafinals))"
] | True |
The Golden State Warriors will have more income for gate receipts. | [
"The Golden State Warriors are a team from San Francisco.",
"The Golden State Warriors won the NBA finals.",
"All teams attending the NBA finals have more than thirty years of history.",
"Boston Celtics are a team that lost the NBA finals.",
"If a team wins the NBA finals, then they will have more income.",
"If a team wins or loses at the NBA finals, then they are attending the finals."
] | [
"Team(goldenstatewarriors) ∧ From(goldenstatewarriors, sanfrancisco)",
"Won(goldenstatewarriors, nbafinals)",
"∀x (team(x) ∧ Attending(x, nbafinals) → HasMoreThan(x, thirtyyearsofhistory))",
"Team(bostonceltics) ∧ Lost(bostonceltics, nbafinals)",
"∀x (Team(x) ∧ Won(x, nbafinals) → MoreIncome(x))",
"∀x (Won(x, nbafinals) ∨ Lost(x, nbafinals) → Attending(x, nbafinals))"
] | True |
Maya will not play violin. | [
"Maya will play violin if and only if she never injures her fingers.",
"Volleyball players can injure their ankle, fingers, or shoulder.",
"Maya is a volleyball player."
] | [
"CanInjureFingures(maya) → ¬WillPlayViolin(maya)",
"∀x (VolleyballPlayer(x) → CanInjureFingures(x))",
"VolleyballPlayer(maya)"
] | True |
IPod1 is controlled by managers. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices with the company logo belong to the company. ",
"A device is either with the company logo or belongs to employees. ",
"All devices belonging to employees are available to connect to the company's wifi. ",
"All devices connected to Google Home are controlled by managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"All devices that are easy to operate are produced after 2020. ",
"IPod1 is produced before 2020. "
] | [
"∀x (InCompany(x) → GoogleHome(x))",
"∀x (CompanyLogo(x) → InCompany(x))",
"∀x (CompanyLogo(x) ∨ Employee(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → ControlledByManager(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"∀x (EasyToOperate(x) → ProducedAfter2020(x))",
"¬ProducedAfter2020(iPod1)"
] | True |
IPod1 is either produced after 2020 or controlled by managers. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices with the company logo belong to the company. ",
"A device is either with the company logo or belongs to employees. ",
"All devices belonging to employees are available to connect to the company's wifi. ",
"All devices connected to Google Home are controlled by managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"All devices that are easy to operate are produced after 2020. ",
"IPod1 is produced before 2020. "
] | [
"∀x (InCompany(x) → GoogleHome(x))",
"∀x (CompanyLogo(x) → InCompany(x))",
"∀x (CompanyLogo(x) ∨ Employee(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → ControlledByManager(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"∀x (EasyToOperate(x) → ProducedAfter2020(x))",
"¬ProducedAfter2020(iPod1)"
] | True |
IPod1 is not with the company logo, and managers do not control it. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices with the company logo belong to the company. ",
"A device is either with the company logo or belongs to employees. ",
"All devices belonging to employees are available to connect to the company's wifi. ",
"All devices connected to Google Home are controlled by managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"All devices that are easy to operate are produced after 2020. ",
"IPod1 is produced before 2020. "
] | [
"∀x (InCompany(x) → GoogleHome(x))",
"∀x (CompanyLogo(x) → InCompany(x))",
"∀x (CompanyLogo(x) ∨ Employee(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → ControlledByManager(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"∀x (EasyToOperate(x) → ProducedAfter2020(x))",
"¬ProducedAfter2020(iPod1)"
] | False |
IPod1 is either with the company logo or controlled by managers. | [
"All devices belonging to the company are connected to Google Home. ",
"All devices with the company logo belong to the company. ",
"A device is either with the company logo or belongs to employees. ",
"All devices belonging to employees are available to connect to the company's wifi. ",
"All devices connected to Google Home are controlled by managers. ",
"All devices that connect to the company's wifi are easy to operate. ",
"All devices that are easy to operate are produced after 2020. ",
"IPod1 is produced before 2020. "
] | [
"∀x (InCompany(x) → GoogleHome(x))",
"∀x (CompanyLogo(x) → InCompany(x))",
"∀x (CompanyLogo(x) ∨ Employee(x))",
"∀x (Employee(x) → Wifi(x))",
"∀x (GoogleHome(x) → ControlledByManager(x))",
"∀x (Wifi(x) → EasyToOperate(x))",
"∀x (EasyToOperate(x) → ProducedAfter2020(x))",
"¬ProducedAfter2020(iPod1)"
] | False |
Some CD players are suitable toys for children. | [
"All CD players are delicate mechanisms.",
"No delicate mechanisms are suitable toys for children."
] | [
"∀x (CDPlayer(x) → DelicateMechanism(x))",
"∀x (DelicateMechanism(x) → ¬SuitableToyForChildren(x))"
] | Unknown |
Jumbo is sleepy. | [
"All mammals are living beings.",
"All elephants are mammals.",
"All baby elephants are elephants.",
"Some baby elephants are sleepy.",
"If Jumbo is a living being, then Jumbo is not an elephant or a mammal.",
"If Jumbo is sleepy, then Jumbo is a baby elephant or an elephant."
] | [
"∀x (Mammal(x) → LivingBeing(x)) ",
"∀x (Elephant(x) → Mammal(x))",
"∀x (BabyElephant(x) → Elephant(x))",
"∃x (BabyElephant(x) ∧ Sleepy(x))",
"LivingBeing(jumbo) → ¬(Elephant(jumbo) ∨ Mammal(jumbo))",
"Sleepy(jumbo) → BabyElephant(jumbo) ∨ Mammal(jumbo)"
] | False |
Jumbo is not sleepy. | [
"All mammals are living beings.",
"All elephants are mammals.",
"All baby elephants are elephants.",
"Some baby elephants are sleepy.",
"If Jumbo is a living being, then Jumbo is not an elephant or a mammal.",
"If Jumbo is sleepy, then Jumbo is a baby elephant or an elephant."
] | [
"∀x (Mammal(x) → LivingBeing(x)) ",
"∀x (Elephant(x) → Mammal(x))",
"∀x (BabyElephant(x) → Elephant(x))",
"∃x (BabyElephant(x) ∧ Sleepy(x))",
"LivingBeing(jumbo) → ¬(Elephant(jumbo) ∨ Mammal(jumbo))",
"Sleepy(jumbo) → BabyElephant(jumbo) ∨ Mammal(jumbo)"
] | True |
Jumbo is a living being. | [
"All mammals are living beings.",
"All elephants are mammals.",
"All baby elephants are elephants.",
"Some baby elephants are sleepy.",
"If Jumbo is a living being, then Jumbo is not an elephant or a mammal.",
"If Jumbo is sleepy, then Jumbo is a baby elephant or an elephant."
] | [
"∀x (Mammal(x) → LivingBeing(x)) ",
"∀x (Elephant(x) → Mammal(x))",
"∀x (BabyElephant(x) → Elephant(x))",
"∃x (BabyElephant(x) ∧ Sleepy(x))",
"LivingBeing(jumbo) → ¬(Elephant(jumbo) ∨ Mammal(jumbo))",
"Sleepy(jumbo) → BabyElephant(jumbo) ∨ Mammal(jumbo)"
] | Unknown |
Jumbo is neither sleepy nor a baby elephant. | [
"All mammals are living beings.",
"All elephants are mammals.",
"All baby elephants are elephants.",
"Some baby elephants are sleepy.",
"If Jumbo is a living being, then Jumbo is not an elephant or a mammal.",
"If Jumbo is sleepy, then Jumbo is a baby elephant or an elephant."
] | [
"∀x (Mammal(x) → LivingBeing(x)) ",
"∀x (Elephant(x) → Mammal(x))",
"∀x (BabyElephant(x) → Elephant(x))",
"∃x (BabyElephant(x) ∧ Sleepy(x))",
"LivingBeing(jumbo) → ¬(Elephant(jumbo) ∨ Mammal(jumbo))",
"Sleepy(jumbo) → BabyElephant(jumbo) ∨ Mammal(jumbo)"
] | True |
Jumbo is not sleepy or an elephant. | [
"All mammals are living beings.",
"All elephants are mammals.",
"All baby elephants are elephants.",
"Some baby elephants are sleepy.",
"If Jumbo is a living being, then Jumbo is not an elephant or a mammal.",
"If Jumbo is sleepy, then Jumbo is a baby elephant or an elephant."
] | [
"∀x (Mammal(x) → LivingBeing(x)) ",
"∀x (Elephant(x) → Mammal(x))",
"∀x (BabyElephant(x) → Elephant(x))",
"∃x (BabyElephant(x) ∧ Sleepy(x))",
"LivingBeing(jumbo) → ¬(Elephant(jumbo) ∨ Mammal(jumbo))",
"Sleepy(jumbo) → BabyElephant(jumbo) ∨ Mammal(jumbo)"
] | True |
Jill works at a school. | [
"No faculty does homework.",
"All students do homework.",
"All kids are students.",
"If someone works at a school, then they are faculty.",
"If Jill works at a school or is a teacher, then Jill works at a school."
] | [
"∀x (Faculty(x) → ¬DoesHomework(x))",
"∀x (Student(x) → DoesHomework(x))",
"∀x (Kid(x) → Student(x))",
"∀x (WorkAtSchool(x) → Faculty(x))",
"WorkAtSchool(jill) ∨ DoesHomework(jill) → WorkAtSchool(jill)"
] | Unknown |
Jill is a kid. | [
"No faculty does homework.",
"All students do homework.",
"All kids are students.",
"If someone works at a school, then they are faculty.",
"If Jill works at a school or is a teacher, then Jill works at a school."
] | [
"∀x (Faculty(x) → ¬DoesHomework(x))",
"∀x (Student(x) → DoesHomework(x))",
"∀x (Kid(x) → Student(x))",
"∀x (WorkAtSchool(x) → Faculty(x))",
"WorkAtSchool(jill) ∨ DoesHomework(jill) → WorkAtSchool(jill)"
] | False |
Jill is not a kid. | [
"No faculty does homework.",
"All students do homework.",
"All kids are students.",
"If someone works at a school, then they are faculty.",
"If Jill works at a school or is a teacher, then Jill works at a school."
] | [
"∀x (Faculty(x) → ¬DoesHomework(x))",
"∀x (Student(x) → DoesHomework(x))",
"∀x (Kid(x) → Student(x))",
"∀x (WorkAtSchool(x) → Faculty(x))",
"WorkAtSchool(jill) ∨ DoesHomework(jill) → WorkAtSchool(jill)"
] | True |
“As it was” by Harry Styles needs to be written with words. | [
"Either Max listens to classical music or Max listens to rap. ",
"All the songs that Max listens to that are classical music are from the 12th century.",
"If the song Max listens to is rap, then the song is from Kanye West. ",
"If a songs is from Kanye West, then the song is full of lyrics. ",
"All songs that are full of lyrics need to be written with words",
"If “As it was” by Harry Styles is classical music that Max listens to or from the 12th century, then “As it was” by Harry Styles is either classical music that Max listens to, or the songs are from 12th century."
] | [
"∀x (MaxListensToClassicalMusic(x) ∨ MaxListensToRap(x))",
"∀x (MaxListensToClassicalMusic(x) → SongsFrom12thCentury(x))",
"∀x (MaxListensToRap(x) → SongsFromKanyeWest(x))",
"∀x (SongsFromKanyeWest(x) → SongsFullOfLyrics(x))",
"∀x (SongsFullOfLyrics(x) → NeedToBeWrittenWithWords(x))",
"MaxListensToClassicalMusic(asItWasByHarryStyles) ∨ SongsFrom12thCentury(asItWasByHarryStyles) → MaxListensToClassicalMusic(asItWasByHarryStyles) ⊕ SongsFrom12thCentury(asItWasByHarryStyles)"
] | True |
"As it was” by Harry Styles is a song from the 12th century. | [
"Either Max listens to classical music or Max listens to rap. ",
"All the songs that Max listens to that are classical music are from the 12th century.",
"If the song Max listens to is rap, then the song is from Kanye West. ",
"If a songs is from Kanye West, then the song is full of lyrics. ",
"All songs that are full of lyrics need to be written with words",
"If “As it was” by Harry Styles is classical music that Max listens to or from the 12th century, then “As it was” by Harry Styles is either classical music that Max listens to, or the songs are from 12th century."
] | [
"∀x (MaxListensToClassicalMusic(x) ∨ MaxListensToRap(x))",
"∀x (MaxListensToClassicalMusic(x) → SongsFrom12thCentury(x))",
"∀x (MaxListensToRap(x) → SongsFromKanyeWest(x))",
"∀x (SongsFromKanyeWest(x) → SongsFullOfLyrics(x))",
"∀x (SongsFullOfLyrics(x) → NeedToBeWrittenWithWords(x))",
"MaxListensToClassicalMusic(asItWasByHarryStyles) ∨ SongsFrom12thCentury(asItWasByHarryStyles) → MaxListensToClassicalMusic(asItWasByHarryStyles) ⊕ SongsFrom12thCentury(asItWasByHarryStyles)"
] | Unknown |
"As it was” by Harry Styles is not a song from Kanye West and needs to be written with words. | [
"Either Max listens to classical music or Max listens to rap. ",
"All the songs that Max listens to that are classical music are from the 12th century.",
"If the song Max listens to is rap, then the song is from Kanye West. ",
"If a songs is from Kanye West, then the song is full of lyrics. ",
"All songs that are full of lyrics need to be written with words",
"If “As it was” by Harry Styles is classical music that Max listens to or from the 12th century, then “As it was” by Harry Styles is either classical music that Max listens to, or the songs are from 12th century."
] | [
"∀x (MaxListensToClassicalMusic(x) ∨ MaxListensToRap(x))",
"∀x (MaxListensToClassicalMusic(x) → SongsFrom12thCentury(x))",
"∀x (MaxListensToRap(x) → SongsFromKanyeWest(x))",
"∀x (SongsFromKanyeWest(x) → SongsFullOfLyrics(x))",
"∀x (SongsFullOfLyrics(x) → NeedToBeWrittenWithWords(x))",
"MaxListensToClassicalMusic(asItWasByHarryStyles) ∨ SongsFrom12thCentury(asItWasByHarryStyles) → MaxListensToClassicalMusic(asItWasByHarryStyles) ⊕ SongsFrom12thCentury(asItWasByHarryStyles)"
] | False |
"Your Woman" was extremely popular. | [
"\"Your Woman\" is a song by British one-man band White Town.",
"\"Your Woman\" song peaked at No. 1 on the UK Singles Chart.",
"If a song peaked at No.1 at a cetain place, then it was extremely popular.",
"\"Your Woman\" also peaked No. 1 in Iceland, Israel and Spain."
] | [
"Produce(whiteTown, yourWoman)",
"Peak(yourWoman, uKSinglesChart)",
"∀x ∀y (Peak(x, y) → Popular(x))",
"Peak(yourWoman, iceland) ∧ Peak(yourWoman, isarel) ∧ Peak(yourWoman, spain)"
] | True |
White Town did not produce any popular song. | [
"\"Your Woman\" is a song by British one-man band White Town.",
"\"Your Woman\" song peaked at No. 1 on the UK Singles Chart.",
"If a song peaked at No.1 at a cetain place, then it was extremely popular.",
"\"Your Woman\" also peaked No. 1 in Iceland, Israel and Spain."
] | [
"Produce(whiteTown, yourWoman)",
"Peak(yourWoman, uKSinglesChart)",
"∀x ∀y (Peak(x, y) → Popular(x))",
"Peak(yourWoman, iceland) ∧ Peak(yourWoman, isarel) ∧ Peak(yourWoman, spain)"
] | False |