conclusion
stringlengths 10
388
| premises
sequence | premises-FOL
sequence | label
stringclasses 3
values |
---|---|---|---|
Picture memory is either a block design or acquiring data. | [
"Either block design or event-related design. ",
"All event-related designs are brain image acquisition.",
"All brain image acquisition is preceded by data processing.",
"Nothing preceded by data processing acquires data.",
"Picture memory is either an event-related design and acquiring data or neither an event-related design nor acquiring data."
] | [
"∀x (BlockDesign(x) ∨ Event-relatedDesign(x))",
"∀x (Event-relatedDesign(x) → BrainImageAcquisition(x))",
"∀x (BrainImageAcquisition(x) → PrecededByDataProcessing(x))",
"∀x (PrecededByDataProcessing(x) → ¬AcquiringData(x))",
"(Event-relatedDesign(pictureMemory) ∧ AcquiringData(pictureMemory)) ∨ (¬Event-relatedDesign(pictureMemory) ∧ ¬AcquiringData(pictureMemory))"
] | True |
If picture memory is not acquiring data, then picture memory is a block design and acquiring data. | [
"Either block design or event-related design. ",
"All event-related designs are brain image acquisition.",
"All brain image acquisition is preceded by data processing.",
"Nothing preceded by data processing acquires data.",
"Picture memory is either an event-related design and acquiring data or neither an event-related design nor acquiring data."
] | [
"∀x (BlockDesign(x) ∨ Event-relatedDesign(x))",
"∀x (Event-relatedDesign(x) → BrainImageAcquisition(x))",
"∀x (BrainImageAcquisition(x) → PrecededByDataProcessing(x))",
"∀x (PrecededByDataProcessing(x) → ¬AcquiringData(x))",
"(Event-relatedDesign(pictureMemory) ∧ AcquiringData(pictureMemory)) ∨ (¬Event-relatedDesign(pictureMemory) ∧ ¬AcquiringData(pictureMemory))"
] | False |
The USS Lyon is decommissioned. | [
"The USS Lyon was a US Navy ship involved in WWII.",
"All ships involved in WWII are currently decommissioned or in a museum."
] | [
"(USNavyShip(usslyon) ∧ InWWII(usslyon))",
"∀x (InWWII(x) → (Decommissioned(x) ∨ InMuseum(x)))"
] | Unknown |
Chopsticks at restaurants are eco-friendly. | [
"All disposable chopsticks are made from trees.",
"Some chopsticks are eco-friendly.",
"Either disposable chopsticks or reusable chopsticks. ",
"If chopsticks are made from metals, then they are not made from plastics. ",
"All reusable chopsticks are made from metal.",
"Chopsticks at restaurants are either made from metals and made from plastics, or neither made from metals nor made from plastics."
] | [
"∀x (DisposableChopsticks(x) → MadeFromTrees(x))",
"∃x (EcoFriendly(x))",
"∀x (DisposableChopsticks(x) ⊕ Reusable(x)) ",
"∀x (MadeFromMetals(x) → ¬MadeFromPlastics(x))",
"∀x (Reusable(x) → MadeFromMetals(x))",
"¬(MadeFromMetals(chopsticksAtRestaurants) ⊕ MadeFromPlastics(chopsticksAtRestaurants))"
] | Unknown |
Chopsticks at restaurants are eco-friendly or made from trees. | [
"All disposable chopsticks are made from trees.",
"Some chopsticks are eco-friendly.",
"Either disposable chopsticks or reusable chopsticks. ",
"If chopsticks are made from metals, then they are not made from plastics. ",
"All reusable chopsticks are made from metal.",
"Chopsticks at restaurants are either made from metals and made from plastics, or neither made from metals nor made from plastics."
] | [
"∀x (DisposableChopsticks(x) → MadeFromTrees(x))",
"∃x (EcoFriendly(x))",
"∀x (DisposableChopsticks(x) ⊕ Reusable(x)) ",
"∀x (MadeFromMetals(x) → ¬MadeFromPlastics(x))",
"∀x (Reusable(x) → MadeFromMetals(x))",
"¬(MadeFromMetals(chopsticksAtRestaurants) ⊕ MadeFromPlastics(chopsticksAtRestaurants))"
] | True |
If Chopsticks at restaurants are made from plastics or made from trees, then Chopsticks at restaurants are made from plastics and are eco-friendly. | [
"All disposable chopsticks are made from trees.",
"Some chopsticks are eco-friendly.",
"Either disposable chopsticks or reusable chopsticks. ",
"If chopsticks are made from metals, then they are not made from plastics. ",
"All reusable chopsticks are made from metal.",
"Chopsticks at restaurants are either made from metals and made from plastics, or neither made from metals nor made from plastics."
] | [
"∀x (DisposableChopsticks(x) → MadeFromTrees(x))",
"∃x (EcoFriendly(x))",
"∀x (DisposableChopsticks(x) ⊕ Reusable(x)) ",
"∀x (MadeFromMetals(x) → ¬MadeFromPlastics(x))",
"∀x (Reusable(x) → MadeFromMetals(x))",
"¬(MadeFromMetals(chopsticksAtRestaurants) ⊕ MadeFromPlastics(chopsticksAtRestaurants))"
] | False |
Sid is an animal. | [
"Anything that is lazy is unproductive.",
"No one unproductive is an energetic person.",
"If something is a sloth, then it is lazy.",
"Some animals are sloths.",
"Sid is not either an energetic person or a sloth."
] | [
"∀x (Lazy(x) → Unproductive(x))",
"∀x (Unproductive(x) → ¬Energetic(x))",
"∀x (Sloth(x) → Lazy(x))",
"∃x (Animal(x) ∧ Sloth(x))",
"¬Energetic(sid) ∨ Sloth(sid)"
] | Unknown |
Sid is an energetic person and an animal. | [
"Anything that is lazy is unproductive.",
"No one unproductive is an energetic person.",
"If something is a sloth, then it is lazy.",
"Some animals are sloths.",
"Sid is not either an energetic person or a sloth."
] | [
"∀x (Lazy(x) → Unproductive(x))",
"∀x (Unproductive(x) → ¬Energetic(x))",
"∀x (Sloth(x) → Lazy(x))",
"∃x (Animal(x) ∧ Sloth(x))",
"¬Energetic(sid) ∨ Sloth(sid)"
] | False |
If Sid is either an animal or unproductive, then Sid is not an energetic person. | [
"Anything that is lazy is unproductive.",
"No one unproductive is an energetic person.",
"If something is a sloth, then it is lazy.",
"Some animals are sloths.",
"Sid is not either an energetic person or a sloth."
] | [
"∀x (Lazy(x) → Unproductive(x))",
"∀x (Unproductive(x) → ¬Energetic(x))",
"∀x (Sloth(x) → Lazy(x))",
"∃x (Animal(x) ∧ Sloth(x))",
"¬Energetic(sid) ∨ Sloth(sid)"
] | True |
Manchester City has a higher ranking than Manchester United. | [
"European soccer clubs can attend UCL, UEL and UECL.",
"A soccer club eligible to attend UCL has a higher ranking than a soccer club eligible to attend UEL.",
"A soccer club eligible to attend UEL has a higher ranking than a soccer club eligible to attend UECL.",
"Manchester United and Machester City are both European soccer clubs.",
"Manchester United is eligible to attend UEL next season.",
"Manchester City is eligible to attend UCL next season."
] | [
"∀x (European(x) ∧ SoccerClub(x) → Attend(x, ucl) ∨ Attend(x, uel) ∨ Attend(x, uecl))",
"∀x ∀y (SoccerClub(x) ∧ SoccerClub(y) ∧ Attend(x, ucl) ∧ Attend(y, uel) → HigherRank(x, y))",
"∀x ∀y (SoccerClub(x) ∧ SoccerClub(y) ∧ Attend(x, uel) ∧ Attend(y, uecl) → HigherRank(x, y))",
"European(manchesterunited) ∧ SoccerClub(manchesterunited) ∧ European(manchestercity) ∧ SoccerClub(manchestercity)",
"Attend(manchesterunited, uel)",
"Attend(manchestercity, ucl)"
] | True |
Dennis Green is a football coach. | [
"If a person coach a football club, the person is a football coach.",
"If a person has a position in a club for a position in a year, and the club is in NFL in the same year, the person plays in NFL.",
"Minnesota Vikings is a football club.",
"Dennis Green coached Minnesota Vikings.",
"Cris Carter had 13 touchdown receptions.",
"Minnesota Vikings was in the National Football League in 1997.",
"John Randle was Minnesota Vikings defensive tackle in 1997."
] | [
"∀x ∀y (Coach(x, y) ∧ IsFootballClub(y) → IsFootballCoach(x))",
"∀x ∀y ∀z (PlayFor(x, y) ∧ NFLTeamYear(y, z) ∧ InTeam(x, z) → PlayInNFL(x))",
"IsFootballClub(minnesota_Vikings)",
"Coach(dennis_Green, minnesota_Vikings)",
"TouchDownReceptionTime(cris_Carter, t13)",
"NFLTeamYear(minnesota_Vikings, y1997)",
"Position(john_Randle, defensive_tackle) ∧ InTeam(john_Randle, y1997) ∧ PlayFor(john_Randle, minnesota_Vikings)"
] | True |
John Randle didn't play in the National Football League. | [
"If a person coach a football club, the person is a football coach.",
"If a person has a position in a club for a position in a year, and the club is in NFL in the same year, the person plays in NFL.",
"Minnesota Vikings is a football club.",
"Dennis Green coached Minnesota Vikings.",
"Cris Carter had 13 touchdown receptions.",
"Minnesota Vikings was in the National Football League in 1997.",
"John Randle was Minnesota Vikings defensive tackle in 1997."
] | [
"∀x ∀y (Coach(x, y) ∧ IsFootballClub(y) → IsFootballCoach(x))",
"∀x ∀y ∀z (PlayFor(x, y) ∧ NFLTeamYear(y, z) ∧ InTeam(x, z) → PlayInNFL(x))",
"IsFootballClub(minnesota_Vikings)",
"Coach(dennis_Green, minnesota_Vikings)",
"TouchDownReceptionTime(cris_Carter, t13)",
"NFLTeamYear(minnesota_Vikings, y1997)",
"Position(john_Randle, defensive_tackle) ∧ InTeam(john_Randle, y1997) ∧ PlayFor(john_Randle, minnesota_Vikings)"
] | False |
Cris Carter played for Minnesota Vikings. | [
"If a person coach a football club, the person is a football coach.",
"If a person has a position in a club for a position in a year, and the club is in NFL in the same year, the person plays in NFL.",
"Minnesota Vikings is a football club.",
"Dennis Green coached Minnesota Vikings.",
"Cris Carter had 13 touchdown receptions.",
"Minnesota Vikings was in the National Football League in 1997.",
"John Randle was Minnesota Vikings defensive tackle in 1997."
] | [
"∀x ∀y (Coach(x, y) ∧ IsFootballClub(y) → IsFootballCoach(x))",
"∀x ∀y ∀z (PlayFor(x, y) ∧ NFLTeamYear(y, z) ∧ InTeam(x, z) → PlayInNFL(x))",
"IsFootballClub(minnesota_Vikings)",
"Coach(dennis_Green, minnesota_Vikings)",
"TouchDownReceptionTime(cris_Carter, t13)",
"NFLTeamYear(minnesota_Vikings, y1997)",
"Position(john_Randle, defensive_tackle) ∧ InTeam(john_Randle, y1997) ∧ PlayFor(john_Randle, minnesota_Vikings)"
] | Unknown |
Grace is a ghost. | [
"All cats are cute.",
"Ghosts do not exist.",
"An animal is either a cat or a dog.",
"Nothing that barks is lovely. ",
"If something is a dog, then it barks.",
"Grace is either a cat and a dog, or neither a cat nor a dog."
] | [
"∀x (Cat(x) → Cute(x))",
"∀x (¬Ghost(x))",
"∀x (Cat(x) ∨ Dog(x))",
"∀x (Bark(x) → ¬Lovely(x))",
"∀x (Dog(x) → Bark(x))",
"(Cat(grace) ∧ Dog(grace)) ⊕ (¬Cat(grace) ∧ ¬Dog(grace))"
] | Unknown |
If Grace is either both cute and lovely, or neither cute nor lovely, then Grace is either a dog or a ghost. | [
"All cats are cute.",
"Ghosts do not exist.",
"An animal is either a cat or a dog.",
"Nothing that barks is lovely. ",
"If something is a dog, then it barks.",
"Grace is either a cat and a dog, or neither a cat nor a dog."
] | [
"∀x (Cat(x) → Cute(x))",
"∀x (¬Ghost(x))",
"∀x (Cat(x) ∨ Dog(x))",
"∀x (Bark(x) → ¬Lovely(x))",
"∀x (Dog(x) → Bark(x))",
"(Cat(grace) ∧ Dog(grace)) ⊕ (¬Cat(grace) ∧ ¬Dog(grace))"
] | True |
If Grace is not both a ghost and lovely, then Grace is either a cat or cute. | [
"All cats are cute.",
"Ghosts do not exist.",
"An animal is either a cat or a dog.",
"Nothing that barks is lovely. ",
"If something is a dog, then it barks.",
"Grace is either a cat and a dog, or neither a cat nor a dog."
] | [
"∀x (Cat(x) → Cute(x))",
"∀x (¬Ghost(x))",
"∀x (Cat(x) ∨ Dog(x))",
"∀x (Bark(x) → ¬Lovely(x))",
"∀x (Dog(x) → Bark(x))",
"(Cat(grace) ∧ Dog(grace)) ⊕ (¬Cat(grace) ∧ ¬Dog(grace))"
] | False |
Baku is southeast of Shafaq-Asiman. | [
"Shafaq-Asiman is a large complex of offshore geological structures in the Caspian Sea.",
"Baku is northwest of Shafaq-Asiman.",
"If place A is northwest of place B, then place B is southeast of place A."
] | [
"LargeComplex(shafaq-asiman) ∧ LargeComplex(shafaq-asiman) ∧ Offshore(shafaq-asiman) ∧ GeologicalStructures(shafaq-asiman) ∧ In(shafaq-asiman, caspiansea)",
"NorthwestOf(baku, shafaq-asiman)",
"∀x ∀y (NorthwestOf(x, y) → SoutheastOf(y, x))"
] | Unknown |
A large complex is southeast of Baku. | [
"Shafaq-Asiman is a large complex of offshore geological structures in the Caspian Sea.",
"Baku is northwest of Shafaq-Asiman.",
"If place A is northwest of place B, then place B is southeast of place A."
] | [
"LargeComplex(shafaq-asiman) ∧ LargeComplex(shafaq-asiman) ∧ Offshore(shafaq-asiman) ∧ GeologicalStructures(shafaq-asiman) ∧ In(shafaq-asiman, caspiansea)",
"NorthwestOf(baku, shafaq-asiman)",
"∀x ∀y (NorthwestOf(x, y) → SoutheastOf(y, x))"
] | True |
Baku is not northwest of an offshore geological structures. | [
"Shafaq-Asiman is a large complex of offshore geological structures in the Caspian Sea.",
"Baku is northwest of Shafaq-Asiman.",
"If place A is northwest of place B, then place B is southeast of place A."
] | [
"LargeComplex(shafaq-asiman) ∧ LargeComplex(shafaq-asiman) ∧ Offshore(shafaq-asiman) ∧ GeologicalStructures(shafaq-asiman) ∧ In(shafaq-asiman, caspiansea)",
"NorthwestOf(baku, shafaq-asiman)",
"∀x ∀y (NorthwestOf(x, y) → SoutheastOf(y, x))"
] | False |
Herodicus tutored Hippocrates. | [
"Herodicus was a Greek physician, dietician, sophist, and gymnastic-master.",
"Herodicus was born in the city of Selymbria.",
"Selymbria is a colony of the city-state Megara.",
"One of the tutors of Hippocrates was Herodicus.",
"Massages were recommended by Herodicus.",
"Some of theories of Herodicus are considered to be the foundation of sports medicine."
] | [
"Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ GymnasticMaster(herodicus)",
"Born(herodicus, selymbia) ∧ City(selymbia)",
"Colony(selymbia, megara) ∧ CityState(megara)",
"Tutored(herodicus, hippocrates)",
"Recommended(herodicus, massages)",
"∃x (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sportsMedicine))"
] | True |
Herodicus was tutored by Hippocrates. | [
"Herodicus was a Greek physician, dietician, sophist, and gymnastic-master.",
"Herodicus was born in the city of Selymbria.",
"Selymbria is a colony of the city-state Megara.",
"One of the tutors of Hippocrates was Herodicus.",
"Massages were recommended by Herodicus.",
"Some of theories of Herodicus are considered to be the foundation of sports medicine."
] | [
"Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ GymnasticMaster(herodicus)",
"Born(herodicus, selymbia) ∧ City(selymbia)",
"Colony(selymbia, megara) ∧ CityState(megara)",
"Tutored(herodicus, hippocrates)",
"Recommended(herodicus, massages)",
"∃x (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sportsMedicine))"
] | Unknown |
Herodicus was born in a city-state. | [
"Herodicus was a Greek physician, dietician, sophist, and gymnastic-master.",
"Herodicus was born in the city of Selymbria.",
"Selymbria is a colony of the city-state Megara.",
"One of the tutors of Hippocrates was Herodicus.",
"Massages were recommended by Herodicus.",
"Some of theories of Herodicus are considered to be the foundation of sports medicine."
] | [
"Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ GymnasticMaster(herodicus)",
"Born(herodicus, selymbia) ∧ City(selymbia)",
"Colony(selymbia, megara) ∧ CityState(megara)",
"Tutored(herodicus, hippocrates)",
"Recommended(herodicus, massages)",
"∃x (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sportsMedicine))"
] | Unknown |
Herodicus did not recommend massages. | [
"Herodicus was a Greek physician, dietician, sophist, and gymnastic-master.",
"Herodicus was born in the city of Selymbria.",
"Selymbria is a colony of the city-state Megara.",
"One of the tutors of Hippocrates was Herodicus.",
"Massages were recommended by Herodicus.",
"Some of theories of Herodicus are considered to be the foundation of sports medicine."
] | [
"Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ GymnasticMaster(herodicus)",
"Born(herodicus, selymbia) ∧ City(selymbia)",
"Colony(selymbia, megara) ∧ CityState(megara)",
"Tutored(herodicus, hippocrates)",
"Recommended(herodicus, massages)",
"∃x (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sportsMedicine))"
] | False |
Herodicus was born in a colony of a city-state. | [
"Herodicus was a Greek physician, dietician, sophist, and gymnastic-master.",
"Herodicus was born in the city of Selymbria.",
"Selymbria is a colony of the city-state Megara.",
"One of the tutors of Hippocrates was Herodicus.",
"Massages were recommended by Herodicus.",
"Some of theories of Herodicus are considered to be the foundation of sports medicine."
] | [
"Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ GymnasticMaster(herodicus)",
"Born(herodicus, selymbia) ∧ City(selymbia)",
"Colony(selymbia, megara) ∧ CityState(megara)",
"Tutored(herodicus, hippocrates)",
"Recommended(herodicus, massages)",
"∃x (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sportsMedicine))"
] | True |
Billy is a student. | [
"No kid loves the Opera.",
"All adults love the Opera.",
"If someone is a scientist, then they are an adult.",
"Some students are kids.",
"Billy is a kid."
] | [
"∀x (Kid(x) → ¬OperaLover(x))",
"∀x (Adult(x) → OperaLover(x))",
"∀x (Scientist(x) → Adult(x))",
"∃x (Student(x) ∧ Kid(x))",
"Kid(billy)"
] | Unknown |
Billy is a student and a scientist. | [
"No kid loves the Opera.",
"All adults love the Opera.",
"If someone is a scientist, then they are an adult.",
"Some students are kids.",
"Billy is a kid."
] | [
"∀x (Kid(x) → ¬OperaLover(x))",
"∀x (Adult(x) → OperaLover(x))",
"∀x (Scientist(x) → Adult(x))",
"∃x (Student(x) ∧ Kid(x))",
"Kid(billy)"
] | False |
If Billy is a student or a scientist, then Billy is a student and a kid. | [
"No kid loves the Opera.",
"All adults love the Opera.",
"If someone is a scientist, then they are an adult.",
"Some students are kids.",
"Billy is a kid."
] | [
"∀x (Kid(x) → ¬OperaLover(x))",
"∀x (Adult(x) → OperaLover(x))",
"∀x (Scientist(x) → Adult(x))",
"∃x (Student(x) ∧ Kid(x))",
"Kid(billy)"
] | True |
There is a son of a referee observer that plays football. | [
"Brian Winter is a Scottish football referee.",
"After being injured, Brian Winter retired in 2012.",
"Brian Winter was appointed as a referee observer after his retirement.",
"Some football referees become referee observers.",
"The son of Brian Winter, Andy Winter, is a football player who plays for Hamilton Academical."
] | [
"Scottish(brianwinter) ∧ FootballReferee(brianwinter)",
"Injured(brianwinter) ∧ Retired(brianwinter)",
"RefereeObserver(brianwinter)",
"∃x (FootballReferee(x) ∧ RefereeObserver(x))",
"Son(andywinter, brianwinter) ∧ FootballPlayer(andywinter) ∧ PlaysFor(andywinter, hamiltonacademical)"
] | True |
Brian Winter is not a referee observer. | [
"Brian Winter is a Scottish football referee.",
"After being injured, Brian Winter retired in 2012.",
"Brian Winter was appointed as a referee observer after his retirement.",
"Some football referees become referee observers.",
"The son of Brian Winter, Andy Winter, is a football player who plays for Hamilton Academical."
] | [
"Scottish(brianwinter) ∧ FootballReferee(brianwinter)",
"Injured(brianwinter) ∧ Retired(brianwinter)",
"RefereeObserver(brianwinter)",
"∃x (FootballReferee(x) ∧ RefereeObserver(x))",
"Son(andywinter, brianwinter) ∧ FootballPlayer(andywinter) ∧ PlaysFor(andywinter, hamiltonacademical)"
] | False |
Brian Winter is retired. | [
"Brian Winter is a Scottish football referee.",
"After being injured, Brian Winter retired in 2012.",
"Brian Winter was appointed as a referee observer after his retirement.",
"Some football referees become referee observers.",
"The son of Brian Winter, Andy Winter, is a football player who plays for Hamilton Academical."
] | [
"Scottish(brianwinter) ∧ FootballReferee(brianwinter)",
"Injured(brianwinter) ∧ Retired(brianwinter)",
"RefereeObserver(brianwinter)",
"∃x (FootballReferee(x) ∧ RefereeObserver(x))",
"Son(andywinter, brianwinter) ∧ FootballPlayer(andywinter) ∧ PlaysFor(andywinter, hamiltonacademical)"
] | True |
Andy Winter is a referee. | [
"Brian Winter is a Scottish football referee.",
"After being injured, Brian Winter retired in 2012.",
"Brian Winter was appointed as a referee observer after his retirement.",
"Some football referees become referee observers.",
"The son of Brian Winter, Andy Winter, is a football player who plays for Hamilton Academical."
] | [
"Scottish(brianwinter) ∧ FootballReferee(brianwinter)",
"Injured(brianwinter) ∧ Retired(brianwinter)",
"RefereeObserver(brianwinter)",
"∃x (FootballReferee(x) ∧ RefereeObserver(x))",
"Son(andywinter, brianwinter) ∧ FootballPlayer(andywinter) ∧ PlaysFor(andywinter, hamiltonacademical)"
] | Unknown |
Erica plans. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | Unknown |
Erica is interested in puzzles and is creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | True |
Erica is either interested in puzzles or is creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
If Erica plans ahead or plays a lot of chess matches, then Erica is not interested in puzzles and creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
If Erica is creative, then Erica is not interested in puzzles and creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
If Erica is interested in puzzles and is creative, then Erica is not creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
If Erica either plays a lot of chess matches or is creative, then Erica is neither interested in puzzles nor a person who plays a lot of chess matches. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | True |
If Erica is interested in puzzles and plays a lot of chess matches, then Erica is either a person who plays a lot of chess matches or a person that is creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
If Erica plans ahead or is interested in puzzles, then Erica is creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | True |
If Erica is either bad at chess or interested in puzzles, then Erica is not a person who plays a lot of chess matches and creative. | [
"People are either interested in puzzles or bad at chess.",
"If a person is bad at chess, then they don't play a lot of chess.",
"A person is either a planner or a creative person.",
"Erica is someone who plays a lot of chess.",
"If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or someone who neither plans nor is creative."
] | [
"∀x (Puzzles(x) ∨ BadChess(x))",
"∀x (BadChess(x) → ¬PlaysLots(x))",
"∀x (Plans(x) ∨ Creative(x))",
"PlaysLots(erica)",
"¬(BadChess(erica) ∨ Creative(erica)) → (Plans(erica) ⊕ Creative(erica))"
] | False |
Cristiano Ronaldo is a top soccer player. | [
"Soccer players have a right foot and a left foot.",
"Top soccer players are soccer players who can use their both feet very efficiently.",
"If a soccer player can score many goals using left foot, then they can use that foot very efficiently.",
"If a soccer player can score many goals using right foot, then they can use that foot very efficiently.",
"Cristiano Ronaldo is a soccer player.",
"Cristiano Ronaldo can use his right foot very efficiently.",
"Cristiano Ronaldo have scored more than one hundred goals using his left foot."
] | [
"∀x (SoccerPlayer(x) → HasLeftFoot(x) ∧ HasRightFoot(x))",
"∀x (SoccerPlayer(x) ∧ Efficient(x, left) ∧ Efficient(x, right) → Top(x))",
"∀x (SoccerPlayer(x) ∧ ScoreManyGoals(x, left) → Efficient(x, left))",
"∀x (SoccerPlayer(x) ∧ ScoreManyGoals(x, right) → Efficient(x, right))",
"SoccerPlayer(ronaldo)",
"Efficient(ronaldo, right)",
"ScoreManyGoals(ronaldo, left)"
] | True |
Cristiano Ronaldo is not a top soccer player. | [
"Soccer players have a right foot and a left foot.",
"Top soccer players are soccer players who can use their both feet very efficiently.",
"If a soccer player can score many goals using left foot, then they can use that foot very efficiently.",
"If a soccer player can score many goals using right foot, then they can use that foot very efficiently.",
"Cristiano Ronaldo is a soccer player.",
"Cristiano Ronaldo can use his right foot very efficiently.",
"Cristiano Ronaldo have scored more than one hundred goals using his left foot."
] | [
"∀x (SoccerPlayer(x) → HasLeftFoot(x) ∧ HasRightFoot(x))",
"∀x (SoccerPlayer(x) ∧ Efficient(x, left) ∧ Efficient(x, right) → Top(x))",
"∀x (SoccerPlayer(x) ∧ ScoreManyGoals(x, left) → Efficient(x, left))",
"∀x (SoccerPlayer(x) ∧ ScoreManyGoals(x, right) → Efficient(x, right))",
"SoccerPlayer(ronaldo)",
"Efficient(ronaldo, right)",
"ScoreManyGoals(ronaldo, left)"
] | False |
The National Lobster Hatchery is for conservation. | [
"The National Lobster Hatchery is a hatchery located in Padstow England.",
"The National Lobster Hatchery is open to visitors.",
"A hatchery is either for profit, or for conservation.",
"If a hatchery is for conservation, it might release animals into the wild.",
"The National Lobster Hatchery is not for profit."
] | [
"Hatchery(nationallobsterhatchery) ∧ LocatedIn(nationallobsterhatchery, padstowengland)",
"OpenToVisitors(nationallobsterhatchery)",
"∀x (Hatchery(x) → ForConservation(x) ∨ ForProfit(x))",
"∃x (Hatchery(x) ∧ ForConservation(x) ∧ ReleasesAnimalsToWild(x))",
"¬ForProfit(nationallobsterhatchery)"
] | True |
All hatcheries are open to visitors. | [
"The National Lobster Hatchery is a hatchery located in Padstow England.",
"The National Lobster Hatchery is open to visitors.",
"A hatchery is either for profit, or for conservation.",
"If a hatchery is for conservation, it might release animals into the wild.",
"The National Lobster Hatchery is not for profit."
] | [
"Hatchery(nationallobsterhatchery) ∧ LocatedIn(nationallobsterhatchery, padstowengland)",
"OpenToVisitors(nationallobsterhatchery)",
"∀x (Hatchery(x) → ForConservation(x) ∨ ForProfit(x))",
"∃x (Hatchery(x) ∧ ForConservation(x) ∧ ReleasesAnimalsToWild(x))",
"¬ForProfit(nationallobsterhatchery)"
] | Unknown |
The National Lobster Hatchery releases animals into the wild. | [
"The National Lobster Hatchery is a hatchery located in Padstow England.",
"The National Lobster Hatchery is open to visitors.",
"A hatchery is either for profit, or for conservation.",
"If a hatchery is for conservation, it might release animals into the wild.",
"The National Lobster Hatchery is not for profit."
] | [
"Hatchery(nationallobsterhatchery) ∧ LocatedIn(nationallobsterhatchery, padstowengland)",
"OpenToVisitors(nationallobsterhatchery)",
"∀x (Hatchery(x) → ForConservation(x) ∨ ForProfit(x))",
"∃x (Hatchery(x) ∧ ForConservation(x) ∧ ReleasesAnimalsToWild(x))",
"¬ForProfit(nationallobsterhatchery)"
] | Unknown |
Rhos Aelwyd F.C. won the 2005-06 Premier Division. | [
"Rhos Aelwyd F.C. is a Welsh football club.",
"Rhos Aelwyd F.C. is the only club based in Ponciau. ",
"The Premier Division was won in 2005–06 by a team from Ponciau. ",
"The winner of the Premier Division in 2009–10 was promoted back to the Cymru Alliance.",
"The Premier Division in 2009–10 was won by the same team that won in 2005-06. "
] | [
"∀x (Rhosaelwydfc(x) → FootballClub(x) ∧ BasedInPonciau(x) ∧ Welsh(x))",
"∀x (BasedInPonciau(x) ↔ Rhosaelwydfc(x))",
"∃x (BasedInPonciau(x) ∧ WonPremierDivisionDuring(x, y2005))",
"∀x (WonPremierDivisionDuring(x, y2009) → Promoted(x))",
"∀x (WonPremierDivisionDuring(x, y2009) ↔ WonPremierDivisionDuring(x, y2005))"
] | True |
Rhos Aelwyd F.C. was promoted to the Cymru Alliance. | [
"Rhos Aelwyd F.C. is a Welsh football club.",
"Rhos Aelwyd F.C. is the only club based in Ponciau. ",
"The Premier Division was won in 2005–06 by a team from Ponciau. ",
"The winner of the Premier Division in 2009–10 was promoted back to the Cymru Alliance.",
"The Premier Division in 2009–10 was won by the same team that won in 2005-06. "
] | [
"∀x (Rhosaelwydfc(x) → FootballClub(x) ∧ BasedInPonciau(x) ∧ Welsh(x))",
"∀x (BasedInPonciau(x) ↔ Rhosaelwydfc(x))",
"∃x (BasedInPonciau(x) ∧ WonPremierDivisionDuring(x, y2005))",
"∀x (WonPremierDivisionDuring(x, y2009) → Promoted(x))",
"∀x (WonPremierDivisionDuring(x, y2009) ↔ WonPremierDivisionDuring(x, y2005))"
] | True |
Burger is popular. | [
"All OS are software.",
"All Mac are OS.",
"An OS is either Mac or Windows.",
"All Windows are convenient.",
"All software has code.",
"If something is convenient, then it is popular.",
"Burger is a piece of code and a Mac.",
"PyTorch is either Windows and software, or neither Windows nor software."
] | [
"∀x (OS(x) → Software(x))",
"∀x (Mac(x) → OS(x))",
"∀x (Mac(x) ∨ Windows(x))",
"∀x (Windows(x) → Convenient(x))",
"∀x (Software(x) → Code(x))",
"∀x (Convenient(x) → Popular(x))",
"Code(burger) ∧ Mac(burger))",
"(Windows(pytorch) ∧ Software(pytorch)) ⊕ (¬Windows(pytorch) ∧ ¬Software(pytorch))"
] | Unknown |
Burger is not popular. | [
"All OS are software.",
"All Mac are OS.",
"An OS is either Mac or Windows.",
"All Windows are convenient.",
"All software has code.",
"If something is convenient, then it is popular.",
"Burger is a piece of code and a Mac.",
"PyTorch is either Windows and software, or neither Windows nor software."
] | [
"∀x (OS(x) → Software(x))",
"∀x (Mac(x) → OS(x))",
"∀x (Mac(x) ∨ Windows(x))",
"∀x (Windows(x) → Convenient(x))",
"∀x (Software(x) → Code(x))",
"∀x (Convenient(x) → Popular(x))",
"Code(burger) ∧ Mac(burger))",
"(Windows(pytorch) ∧ Software(pytorch)) ⊕ (¬Windows(pytorch) ∧ ¬Software(pytorch))"
] | Unknown |
PyTorch is popular and has code. | [
"All OS are software.",
"All Mac are OS.",
"An OS is either Mac or Windows.",
"All Windows are convenient.",
"All software has code.",
"If something is convenient, then it is popular.",
"Burger is a piece of code and a Mac.",
"PyTorch is either Windows and software, or neither Windows nor software."
] | [
"∀x (OS(x) → Software(x))",
"∀x (Mac(x) → OS(x))",
"∀x (Mac(x) ∨ Windows(x))",
"∀x (Windows(x) → Convenient(x))",
"∀x (Software(x) → Code(x))",
"∀x (Convenient(x) → Popular(x))",
"Code(burger) ∧ Mac(burger))",
"(Windows(pytorch) ∧ Software(pytorch)) ⊕ (¬Windows(pytorch) ∧ ¬Software(pytorch))"
] | True |
PyTorch is not popular and has code. | [
"All OS are software.",
"All Mac are OS.",
"An OS is either Mac or Windows.",
"All Windows are convenient.",
"All software has code.",
"If something is convenient, then it is popular.",
"Burger is a piece of code and a Mac.",
"PyTorch is either Windows and software, or neither Windows nor software."
] | [
"∀x (OS(x) → Software(x))",
"∀x (Mac(x) → OS(x))",
"∀x (Mac(x) ∨ Windows(x))",
"∀x (Windows(x) → Convenient(x))",
"∀x (Software(x) → Code(x))",
"∀x (Convenient(x) → Popular(x))",
"Code(burger) ∧ Mac(burger))",
"(Windows(pytorch) ∧ Software(pytorch)) ⊕ (¬Windows(pytorch) ∧ ¬Software(pytorch))"
] | False |
Road one will last longer than Road two | [
"Roads are made of either concrete or asphalt.",
"Roads made of concrete last longer than roads made with asphalt.",
"Roads made of asphalt are smoother than roads made of concrete.",
"Everyone prefers the smoother of two roads. ",
"Road one is made of concrete and Road two is made of asphalt."
] | [
"∀x (Road(x) → (MadeOfConcrete(x) ∨ MadeOfAsphalt(x))",
"∀x ∀y (Road(x) ∧ MadeOfConcrete(x) ∧ Road(y) ∧ MadeOfAsphalt(y) → LastLonger(x, y))",
"∀x ∀y (Road(x) ∧ MadeOfAsphalt(x) ∧ Road(y) ∧ MadeOfConcrete(y) → Smoother(x, y))",
"∀x ∀y ∀z (Road(x) ∧ Road(y) ∧ Smoother(x, y) → Prefers(z, x))",
"Road(one) ∧ MadeOfConcrete(one) ∧ Road(two) ∧ MadeOfAsphalt(two)"
] | True |
Road two is not smoother than Road one. | [
"Roads are made of either concrete or asphalt.",
"Roads made of concrete last longer than roads made with asphalt.",
"Roads made of asphalt are smoother than roads made of concrete.",
"Everyone prefers the smoother of two roads. ",
"Road one is made of concrete and Road two is made of asphalt."
] | [
"∀x (Road(x) → (MadeOfConcrete(x) ∨ MadeOfAsphalt(x))",
"∀x ∀y (Road(x) ∧ MadeOfConcrete(x) ∧ Road(y) ∧ MadeOfAsphalt(y) → LastLonger(x, y))",
"∀x ∀y (Road(x) ∧ MadeOfAsphalt(x) ∧ Road(y) ∧ MadeOfConcrete(y) → Smoother(x, y))",
"∀x ∀y ∀z (Road(x) ∧ Road(y) ∧ Smoother(x, y) → Prefers(z, x))",
"Road(one) ∧ MadeOfConcrete(one) ∧ Road(two) ∧ MadeOfAsphalt(two)"
] | False |
John prefers Road two. | [
"Roads are made of either concrete or asphalt.",
"Roads made of concrete last longer than roads made with asphalt.",
"Roads made of asphalt are smoother than roads made of concrete.",
"Everyone prefers the smoother of two roads. ",
"Road one is made of concrete and Road two is made of asphalt."
] | [
"∀x (Road(x) → (MadeOfConcrete(x) ∨ MadeOfAsphalt(x))",
"∀x ∀y (Road(x) ∧ MadeOfConcrete(x) ∧ Road(y) ∧ MadeOfAsphalt(y) → LastLonger(x, y))",
"∀x ∀y (Road(x) ∧ MadeOfAsphalt(x) ∧ Road(y) ∧ MadeOfConcrete(y) → Smoother(x, y))",
"∀x ∀y ∀z (Road(x) ∧ Road(y) ∧ Smoother(x, y) → Prefers(z, x))",
"Road(one) ∧ MadeOfConcrete(one) ∧ Road(two) ∧ MadeOfAsphalt(two)"
] | True |
One of Ontario's oldest summer camps is a traditional summer camp for boys and girls. | [
"Camp Davern is a traditional summer camp for boys and girls.",
"Camp Davern was established in the year 1946.",
"Camp Davern was operated by the YMCA until the year 2015.",
"Camp Davern is one of Ontario's oldest summer camps."
] | [
"TraditionalSummerCamp(campdavern) ∧ ForBoysAndGirls(campdavern)",
"EstablishedIn(campdavern, year1946)",
"OperatedByYMCAUntil(campdavern, year2015)",
"OneOf(campdavern, ontariosoldestsummercamps)"
] | True |
A traditional summer camp for boys and girls was operated by the YMCA until the year 2015. | [
"Camp Davern is a traditional summer camp for boys and girls.",
"Camp Davern was established in the year 1946.",
"Camp Davern was operated by the YMCA until the year 2015.",
"Camp Davern is one of Ontario's oldest summer camps."
] | [
"TraditionalSummerCamp(campdavern) ∧ ForBoysAndGirls(campdavern)",
"EstablishedIn(campdavern, year1946)",
"OperatedByYMCAUntil(campdavern, year2015)",
"OneOf(campdavern, ontariosoldestsummercamps)"
] | True |
Camp Davern was established in 1989. | [
"Camp Davern is a traditional summer camp for boys and girls.",
"Camp Davern was established in the year 1946.",
"Camp Davern was operated by the YMCA until the year 2015.",
"Camp Davern is one of Ontario's oldest summer camps."
] | [
"TraditionalSummerCamp(campdavern) ∧ ForBoysAndGirls(campdavern)",
"EstablishedIn(campdavern, year1946)",
"OperatedByYMCAUntil(campdavern, year2015)",
"OneOf(campdavern, ontariosoldestsummercamps)"
] | Unknown |
Emily often holds tenured and high-ranking positions at her workplace. | [
"If people publish journals, then they do not work in the entertainment industry.",
"All people who are award-winning novelists publish journals.",
"People either work in the entertainment industry or are highly acclaimed in their profession.",
"If people are highly acclaimed in their profession, then they often hold tenured and high-ranking positions at their workplace.",
"If people are highly acclaimed in their profession, then they often receive glowing feedback and recommendations from their colleagues.",
"If Emily is either both highly acclaimed in her profession and often holds tenured and high-ranking positions at her workplace, or she is neither highly acclaimed in her profession nor often holds tenured and high-ranking positions at her workplace, then Emily is not highly acclaimed in her profession. "
] | [
"∀x (PublishJournals(x) → ¬Entertainment(x))",
"∀x (Novelist(x) → PublishJournals(x))",
"∀x (Entertainment(x) ∨ Acclaimed(x))",
"∀x (Acclaimed(x) → Tenured(x))",
"∀x (Acclaimed(x) → Glowing(x))",
"(Acclaimed(emily) ∧ Tenured(emily)) ∨ (¬Acclaimed(emily) ∧ ¬Tenured(emily)) → ¬Acclaimed(emily)"
] | Unknown |
Emily often receives glowing feedback and recommendations from their colleagues and is an award-winning novelist. | [
"If people publish journals, then they do not work in the entertainment industry.",
"All people who are award-winning novelists publish journals.",
"People either work in the entertainment industry or are highly acclaimed in their profession.",
"If people are highly acclaimed in their profession, then they often hold tenured and high-ranking positions at their workplace.",
"If people are highly acclaimed in their profession, then they often receive glowing feedback and recommendations from their colleagues.",
"If Emily is either both highly acclaimed in her profession and often holds tenured and high-ranking positions at her workplace, or she is neither highly acclaimed in her profession nor often holds tenured and high-ranking positions at her workplace, then Emily is not highly acclaimed in her profession. "
] | [
"∀x (PublishJournals(x) → ¬Entertainment(x))",
"∀x (Novelist(x) → PublishJournals(x))",
"∀x (Entertainment(x) ∨ Acclaimed(x))",
"∀x (Acclaimed(x) → Tenured(x))",
"∀x (Acclaimed(x) → Glowing(x))",
"(Acclaimed(emily) ∧ Tenured(emily)) ∨ (¬Acclaimed(emily) ∧ ¬Tenured(emily)) → ¬Acclaimed(emily)"
] | False |
If Emily either often receives glowing feedback and recommendations from her colleagues or is an award-winning novelist, then Emily does not both publish journals and is an award-winning novelist. | [
"If people publish journals, then they do not work in the entertainment industry.",
"All people who are award-winning novelists publish journals.",
"People either work in the entertainment industry or are highly acclaimed in their profession.",
"If people are highly acclaimed in their profession, then they often hold tenured and high-ranking positions at their workplace.",
"If people are highly acclaimed in their profession, then they often receive glowing feedback and recommendations from their colleagues.",
"If Emily is either both highly acclaimed in her profession and often holds tenured and high-ranking positions at her workplace, or she is neither highly acclaimed in her profession nor often holds tenured and high-ranking positions at her workplace, then Emily is not highly acclaimed in her profession. "
] | [
"∀x (PublishJournals(x) → ¬Entertainment(x))",
"∀x (Novelist(x) → PublishJournals(x))",
"∀x (Entertainment(x) ∨ Acclaimed(x))",
"∀x (Acclaimed(x) → Tenured(x))",
"∀x (Acclaimed(x) → Glowing(x))",
"(Acclaimed(emily) ∧ Tenured(emily)) ∨ (¬Acclaimed(emily) ∧ ¬Tenured(emily)) → ¬Acclaimed(emily)"
] | True |
Megan Whalen Turner worked with Greenwillow Books. | [
"Thick as Thieves is a young adult fantasy novel, written by Megan Whalen Turner.",
"Thick as Thieves was published by Greenwillow Books.",
"If a book was published by a company, than the author of that book worked with the company that published the book.",
"The fictional Mede Empire is where Thick as Thieves is set.",
"The Mede Empire plots to swallow up some nearby countries.",
"Attolia and Sounis are countries near the Mede Empire.",
"Thick as Thieves was sold both as a hardcover and an e-book."
] | [
"YoungAdultFantasyNovel(thickastheives) ∧ WrittenBy(thickastheives, megan)",
"PublishedBy(thickastheives, greenwillowbooks)",
"∀x ∀y ∀z (WrittenBy(x, y) ∧ PublishedBy(x, z) → WorkedWith(y, z))",
"Fictional(medeempire) ∧ SetIn(thickastheives, medeempire)",
"∃x (Country(x) Nearby(medeempire, x) ∧ PlotsToSwallowUp(medeempire, x))",
"Country(attolia) ∧ Nearby(medeempire, attolia) ∧ Country(sounis) ∧ Nearby(medeempire, sounis)",
"SoldAs(thickastheives, hardcover) ∧ SoldAs(thickastheives, softcover)"
] | True |
The Mede Empire plans to swallow up Attolia. | [
"Thick as Thieves is a young adult fantasy novel, written by Megan Whalen Turner.",
"Thick as Thieves was published by Greenwillow Books.",
"If a book was published by a company, than the author of that book worked with the company that published the book.",
"The fictional Mede Empire is where Thick as Thieves is set.",
"The Mede Empire plots to swallow up some nearby countries.",
"Attolia and Sounis are countries near the Mede Empire.",
"Thick as Thieves was sold both as a hardcover and an e-book."
] | [
"YoungAdultFantasyNovel(thickastheives) ∧ WrittenBy(thickastheives, megan)",
"PublishedBy(thickastheives, greenwillowbooks)",
"∀x ∀y ∀z (WrittenBy(x, y) ∧ PublishedBy(x, z) → WorkedWith(y, z))",
"Fictional(medeempire) ∧ SetIn(thickastheives, medeempire)",
"∃x (Country(x) Nearby(medeempire, x) ∧ PlotsToSwallowUp(medeempire, x))",
"Country(attolia) ∧ Nearby(medeempire, attolia) ∧ Country(sounis) ∧ Nearby(medeempire, sounis)",
"SoldAs(thickastheives, hardcover) ∧ SoldAs(thickastheives, softcover)"
] | Unknown |
Thick as Thieves is not set in the mede empire. | [
"Thick as Thieves is a young adult fantasy novel, written by Megan Whalen Turner.",
"Thick as Thieves was published by Greenwillow Books.",
"If a book was published by a company, than the author of that book worked with the company that published the book.",
"The fictional Mede Empire is where Thick as Thieves is set.",
"The Mede Empire plots to swallow up some nearby countries.",
"Attolia and Sounis are countries near the Mede Empire.",
"Thick as Thieves was sold both as a hardcover and an e-book."
] | [
"YoungAdultFantasyNovel(thickastheives) ∧ WrittenBy(thickastheives, megan)",
"PublishedBy(thickastheives, greenwillowbooks)",
"∀x ∀y ∀z (WrittenBy(x, y) ∧ PublishedBy(x, z) → WorkedWith(y, z))",
"Fictional(medeempire) ∧ SetIn(thickastheives, medeempire)",
"∃x (Country(x) Nearby(medeempire, x) ∧ PlotsToSwallowUp(medeempire, x))",
"Country(attolia) ∧ Nearby(medeempire, attolia) ∧ Country(sounis) ∧ Nearby(medeempire, sounis)",
"SoldAs(thickastheives, hardcover) ∧ SoldAs(thickastheives, softcover)"
] | False |
Megan Whalen Turner did not work with Greenwillow Books. | [
"Thick as Thieves is a young adult fantasy novel, written by Megan Whalen Turner.",
"Thick as Thieves was published by Greenwillow Books.",
"If a book was published by a company, than the author of that book worked with the company that published the book.",
"The fictional Mede Empire is where Thick as Thieves is set.",
"The Mede Empire plots to swallow up some nearby countries.",
"Attolia and Sounis are countries near the Mede Empire.",
"Thick as Thieves was sold both as a hardcover and an e-book."
] | [
"YoungAdultFantasyNovel(thickastheives) ∧ WrittenBy(thickastheives, megan)",
"PublishedBy(thickastheives, greenwillowbooks)",
"∀x ∀y ∀z (WrittenBy(x, y) ∧ PublishedBy(x, z) → WorkedWith(y, z))",
"Fictional(medeempire) ∧ SetIn(thickastheives, medeempire)",
"∃x (Country(x) Nearby(medeempire, x) ∧ PlotsToSwallowUp(medeempire, x))",
"Country(attolia) ∧ Nearby(medeempire, attolia) ∧ Country(sounis) ∧ Nearby(medeempire, sounis)",
"SoldAs(thickastheives, hardcover) ∧ SoldAs(thickastheives, softcover)"
] | False |
There is a tablet computer that was announced by a German. | [
"WeTab is a MeeGo-based tablet computer.",
"There is a WeTab product.",
"WeTab was announced by Neofonie.",
"Neofonie is a German producer.",
"Germans speak English or German."
] | [
"∀x (WeTab(x) → MeeGoBased(x) ∧ TabletComputer(x))",
"∃x (WeTab(x))",
"∀x (WeTab(x) → Announce(neofonie, x))",
"German(neofonie) ∧ Producer(neofonie)",
"∀x (German(x) → Speak(x, english) ∨ Speak(x, german))"
] | True |
Neofonie doesn't speak English or German. | [
"WeTab is a MeeGo-based tablet computer.",
"There is a WeTab product.",
"WeTab was announced by Neofonie.",
"Neofonie is a German producer.",
"Germans speak English or German."
] | [
"∀x (WeTab(x) → MeeGoBased(x) ∧ TabletComputer(x))",
"∃x (WeTab(x))",
"∀x (WeTab(x) → Announce(neofonie, x))",
"German(neofonie) ∧ Producer(neofonie)",
"∀x (German(x) → Speak(x, english) ∨ Speak(x, german))"
] | False |
James is good at math. | [
"Some employees working in business analysis are good at math. ",
"All employees working in business analysis are working in this company. ",
"No employees working in this company are from China. ",
"All employees working in software engineering are from China. ",
"James is working in software engineering. "
] | [
"∃x ( BusinessAnalysis(x) ∧ GoodAtMath(x))",
"∀x (BusinessAnalysis(x) → WorkInCompany(x))",
"∀x (WorkInCompany(x) → ¬FromChina(x))",
"∀x (SoftwareEngineering(x) → FromChina(x))",
"SoftwareEngineering(james)"
] | Unknown |
James is not good at math and he is working in business analysis. | [
"Some employees working in business analysis are good at math. ",
"All employees working in business analysis are working in this company. ",
"No employees working in this company are from China. ",
"All employees working in software engineering are from China. ",
"James is working in software engineering. "
] | [
"∃x ( BusinessAnalysis(x) ∧ GoodAtMath(x))",
"∀x (BusinessAnalysis(x) → WorkInCompany(x))",
"∀x (WorkInCompany(x) → ¬FromChina(x))",
"∀x (SoftwareEngineering(x) → FromChina(x))",
"SoftwareEngineering(james)"
] | False |
If James is not good at math and he is in business analysis, then he is neither working in this company nor working in software engineering. | [
"Some employees working in business analysis are good at math. ",
"All employees working in business analysis are working in this company. ",
"No employees working in this company are from China. ",
"All employees working in software engineering are from China. ",
"James is working in software engineering. "
] | [
"∃x ( BusinessAnalysis(x) ∧ GoodAtMath(x))",
"∀x (BusinessAnalysis(x) → WorkInCompany(x))",
"∀x (WorkInCompany(x) → ¬FromChina(x))",
"∀x (SoftwareEngineering(x) → FromChina(x))",
"SoftwareEngineering(james)"
] | True |
Blueberries were the most popular fruit at the party. | [
"The party provides five kinds of fruits: strawberry, orange, blueberry, grape, and cherry.",
"All fruits are provided in the same weight at the beginning of the party.",
"If the fruit had the lowest remaining weight at the end of the party, then it means it was the most popular fruit.",
"At the end of the party, strawberries had the lowest remaining weight.",
"At the end of the party, the amount of leftover blueberries was lower than that of cherries.",
"Benjamin only ate oranges and grapes at the party."
] | [
"Party(strawberry) ∨ Party(orange) ∨ Party(blueberry) ∨ Party(grape) ∨ Party(cherry) ",
"∀x (Party(x) → SameWeight(x))",
"∀x (LowestAmount(x) → MostPopular(x)) ",
"LowestAmount(strawberries)",
"Lower(blueberry, cherry)",
"Eat(orange, benjamin) ∧ Eat(grape, benjamin) ∧ ¬Eat(blueberry, benjamin) ∧ ¬Eat(cherry, benjamin) ∧ ¬Eat(strawberry, benjamin)"
] | Unknown |
Cherries were the most popular fruit at the party. | [
"The party provides five kinds of fruits: strawberry, orange, blueberry, grape, and cherry.",
"All fruits are provided in the same weight at the beginning of the party.",
"If the fruit had the lowest remaining weight at the end of the party, then it means it was the most popular fruit.",
"At the end of the party, strawberries had the lowest remaining weight.",
"At the end of the party, the amount of leftover blueberries was lower than that of cherries.",
"Benjamin only ate oranges and grapes at the party."
] | [
"Party(strawberry) ∨ Party(orange) ∨ Party(blueberry) ∨ Party(grape) ∨ Party(cherry) ",
"∀x (Party(x) → SameWeight(x))",
"∀x (LowestAmount(x) → MostPopular(x)) ",
"LowestAmount(strawberries)",
"Lower(blueberry, cherry)",
"Eat(orange, benjamin) ∧ Eat(grape, benjamin) ∧ ¬Eat(blueberry, benjamin) ∧ ¬Eat(cherry, benjamin) ∧ ¬Eat(strawberry, benjamin)"
] | Unknown |
Benjamin ate blueberries at the party. | [
"The party provides five kinds of fruits: strawberry, orange, blueberry, grape, and cherry.",
"All fruits are provided in the same weight at the beginning of the party.",
"If the fruit had the lowest remaining weight at the end of the party, then it means it was the most popular fruit.",
"At the end of the party, strawberries had the lowest remaining weight.",
"At the end of the party, the amount of leftover blueberries was lower than that of cherries.",
"Benjamin only ate oranges and grapes at the party."
] | [
"Party(strawberry) ∨ Party(orange) ∨ Party(blueberry) ∨ Party(grape) ∨ Party(cherry) ",
"∀x (Party(x) → SameWeight(x))",
"∀x (LowestAmount(x) → MostPopular(x)) ",
"LowestAmount(strawberries)",
"Lower(blueberry, cherry)",
"Eat(orange, benjamin) ∧ Eat(grape, benjamin) ∧ ¬Eat(blueberry, benjamin) ∧ ¬Eat(cherry, benjamin) ∧ ¬Eat(strawberry, benjamin)"
] | False |
James attends the conference but not in person. | [
"All students who attend in person have registered for the conference. ",
"Students either attend the conference in person or remotely. ",
"No students from China attend the conference remotely. ",
"James attends the conference but he does not attend the conference remotely.",
"Jack attends the conference and he is a student from China."
] | [
"∀x (Attend(x) → Registered(x))",
"∀x (Attend(x) → InPerson(x) ⊕ Remotely(x))",
"∀x ((Attend(x) ∧ China(x)) → ¬Remotely(x))",
"Attend(james) ∧ ¬Remotely(james)",
"China(jack) ∧ Attend(jack)"
] | False |
Jack attends the conference in person. | [
"All students who attend in person have registered for the conference. ",
"Students either attend the conference in person or remotely. ",
"No students from China attend the conference remotely. ",
"James attends the conference but he does not attend the conference remotely.",
"Jack attends the conference and he is a student from China."
] | [
"∀x (Attend(x) → Registered(x))",
"∀x (Attend(x) → InPerson(x) ⊕ Remotely(x))",
"∀x ((Attend(x) ∧ China(x)) → ¬Remotely(x))",
"Attend(james) ∧ ¬Remotely(james)",
"China(jack) ∧ Attend(jack)"
] | True |
Jack has registered for the conference. | [
"All students who attend in person have registered for the conference. ",
"Students either attend the conference in person or remotely. ",
"No students from China attend the conference remotely. ",
"James attends the conference but he does not attend the conference remotely.",
"Jack attends the conference and he is a student from China."
] | [
"∀x (Attend(x) → Registered(x))",
"∀x (Attend(x) → InPerson(x) ⊕ Remotely(x))",
"∀x ((Attend(x) ∧ China(x)) → ¬Remotely(x))",
"Attend(james) ∧ ¬Remotely(james)",
"China(jack) ∧ Attend(jack)"
] | True |
David Ha'ivri is an Israeli citizen. | [
"David Ha'ivri is a political strategist. ",
"If you are born in Israel to at least one Israeli parent, then you receive citizenship at birth. ",
"David Ha'ivri emigrated to the United States from Israel, where he was born to Israeli parents. ",
"Several Zionist leaders have been elected to the Shomron Regional Municipal council. ",
"David Ha'ivri is a Zionist leader. "
] | [
"PoliticalStrategist(davidhaivri)",
"∀x ∃y (BornInIsrael(x) ∧ ParentOf(x, y) ∧ Israeli(y) → IsraeliCitizen(x))",
"∃x (EmigratedTo(davidhaivri, america) ∧ BornInIsrael(davidhaivri) ∧ ParentOf(davidhaivri, x) ∧ Israeli(x))",
"∃x (ZionistLeader(x) ∧ ElectedTo(x, shomronmunicipalcouncil))",
"ZionstLeader(davidhaivri)"
] | True |
David Ha'ivri is a United States citizen. | [
"David Ha'ivri is a political strategist. ",
"If you are born in Israel to at least one Israeli parent, then you receive citizenship at birth. ",
"David Ha'ivri emigrated to the United States from Israel, where he was born to Israeli parents. ",
"Several Zionist leaders have been elected to the Shomron Regional Municipal council. ",
"David Ha'ivri is a Zionist leader. "
] | [
"PoliticalStrategist(davidhaivri)",
"∀x ∃y (BornInIsrael(x) ∧ ParentOf(x, y) ∧ Israeli(y) → IsraeliCitizen(x))",
"∃x (EmigratedTo(davidhaivri, america) ∧ BornInIsrael(davidhaivri) ∧ ParentOf(davidhaivri, x) ∧ Israeli(x))",
"∃x (ZionistLeader(x) ∧ ElectedTo(x, shomronmunicipalcouncil))",
"ZionstLeader(davidhaivri)"
] | Unknown |
David Ha'ivri has been elected to the Shomron Regional Municipal council. | [
"David Ha'ivri is a political strategist. ",
"If you are born in Israel to at least one Israeli parent, then you receive citizenship at birth. ",
"David Ha'ivri emigrated to the United States from Israel, where he was born to Israeli parents. ",
"Several Zionist leaders have been elected to the Shomron Regional Municipal council. ",
"David Ha'ivri is a Zionist leader. "
] | [
"PoliticalStrategist(davidhaivri)",
"∀x ∃y (BornInIsrael(x) ∧ ParentOf(x, y) ∧ Israeli(y) → IsraeliCitizen(x))",
"∃x (EmigratedTo(davidhaivri, america) ∧ BornInIsrael(davidhaivri) ∧ ParentOf(davidhaivri, x) ∧ Israeli(x))",
"∃x (ZionistLeader(x) ∧ ElectedTo(x, shomronmunicipalcouncil))",
"ZionstLeader(davidhaivri)"
] | Unknown |
Either Mary or Susan has influenza. | [
"Mary has the flu.",
"Flu and influenza are the same disease.",
"Susan doesn't have influenza."
] | [
"Have(mary, flu)",
"∀x (Have(x, flu) ↔ Have(x, influenza))",
"¬Have(susan, influenza)"
] | True |
No lawyer ever sat in the House of Commons. | [
"James Cocks was a British lawyer.",
"James Cocks was a Whig politician who sat in the House of Commons.",
"A British is a European.",
"Any lawyer is familiar with laws.",
"Some Whigs speak French."
] | [
"British(james) ∧ Lawyer(james)",
"Whig(james) ∧ Politician(james) ∧ SatInHouseOfCommons(james)",
"∀x (British(x) → European(x))",
"∀x (Lawyer(x) → FamiliarWithLaws(x))",
"∃x (Whig(x) ∧ SpeakFrench(x))"
] | False |
Some European is familiar with laws. | [
"James Cocks was a British lawyer.",
"James Cocks was a Whig politician who sat in the House of Commons.",
"A British is a European.",
"Any lawyer is familiar with laws.",
"Some Whigs speak French."
] | [
"British(james) ∧ Lawyer(james)",
"Whig(james) ∧ Politician(james) ∧ SatInHouseOfCommons(james)",
"∀x (British(x) → European(x))",
"∀x (Lawyer(x) → FamiliarWithLaws(x))",
"∃x (Whig(x) ∧ SpeakFrench(x))"
] | True |
James Cocks speaks French. | [
"James Cocks was a British lawyer.",
"James Cocks was a Whig politician who sat in the House of Commons.",
"A British is a European.",
"Any lawyer is familiar with laws.",
"Some Whigs speak French."
] | [
"British(james) ∧ Lawyer(james)",
"Whig(james) ∧ Politician(james) ∧ SatInHouseOfCommons(james)",
"∀x (British(x) → European(x))",
"∀x (Lawyer(x) → FamiliarWithLaws(x))",
"∃x (Whig(x) ∧ SpeakFrench(x))"
] | Unknown |
Beasts of prey is a fantasy novel. | [
"Beasts of Prey is either a fantasy novel or a science fiction novel.",
"Science fiction novels are not about mythological creatures",
"Beasts of Prey Is about a creature known as the Shetani.",
"Shetanis are mythological."
] | [
"Novel(beastsofprey) ∧ Fantasy(beastsofprey) ∨ ScienceFiction(beastsofprey)",
"∀x ∀y (ScienceFiction(x) ∧ Mythological(y) ∧ Creature(y) → ¬About(x, y))",
"About(beastsofprey, shetani) ∧ Creature(shetani)",
"Mythological(shetani)"
] | True |
Beasts of prey isn't a science fiction novel. | [
"Beasts of Prey is either a fantasy novel or a science fiction novel.",
"Science fiction novels are not about mythological creatures",
"Beasts of Prey Is about a creature known as the Shetani.",
"Shetanis are mythological."
] | [
"Novel(beastsofprey) ∧ Fantasy(beastsofprey) ∨ ScienceFiction(beastsofprey)",
"∀x ∀y (ScienceFiction(x) ∧ Mythological(y) ∧ Creature(y) → ¬About(x, y))",
"About(beastsofprey, shetani) ∧ Creature(shetani)",
"Mythological(shetani)"
] | True |
A shetani is either mythological or a creature. | [
"Beasts of Prey is either a fantasy novel or a science fiction novel.",
"Science fiction novels are not about mythological creatures",
"Beasts of Prey Is about a creature known as the Shetani.",
"Shetanis are mythological."
] | [
"Novel(beastsofprey) ∧ Fantasy(beastsofprey) ∨ ScienceFiction(beastsofprey)",
"∀x ∀y (ScienceFiction(x) ∧ Mythological(y) ∧ Creature(y) → ¬About(x, y))",
"About(beastsofprey, shetani) ∧ Creature(shetani)",
"Mythological(shetani)"
] | False |
Jack Odell is a notable people. | [
"Odell is an English surname originating in Odell, Bedfordshire.",
"In some families Odell is spelled O'Dell, in a mistaken Irish adaptation.",
"Notable people with the surname include Amy Odell, Jack Odell, and Mats Odell.",
"Amy Odell is a British singer-songwriter.",
"Jack Odell is an English toy inventor."
] | [
"∀x (Odell(x) → Surname(x))",
"∃x (Odell(x) ∧ SpelledODell(x))",
"Odell(amyOdell) ∧ NotablePeople(amyOdell) ∧ Odell(jackOdell) ∧ NotablePeople(jackOdell) ∧ Odell(matsOdell) ∧ NotablePeople(matsOdell)",
"British(amyOdell) ∧ Singer(amyOdell) ∧ SongWriter(amyOdell)",
"English(jackOdell) ∧ ToyInvertor(jackOdell)"
] | True |
Odell is Amy Odell's surname. | [
"Odell is an English surname originating in Odell, Bedfordshire.",
"In some families Odell is spelled O'Dell, in a mistaken Irish adaptation.",
"Notable people with the surname include Amy Odell, Jack Odell, and Mats Odell.",
"Amy Odell is a British singer-songwriter.",
"Jack Odell is an English toy inventor."
] | [
"∀x (Odell(x) → Surname(x))",
"∃x (Odell(x) ∧ SpelledODell(x))",
"Odell(amyOdell) ∧ NotablePeople(amyOdell) ∧ Odell(jackOdell) ∧ NotablePeople(jackOdell) ∧ Odell(matsOdell) ∧ NotablePeople(matsOdell)",
"British(amyOdell) ∧ Singer(amyOdell) ∧ SongWriter(amyOdell)",
"English(jackOdell) ∧ ToyInvertor(jackOdell)"
] | True |
Amy Odell is an English toy inventor. | [
"Odell is an English surname originating in Odell, Bedfordshire.",
"In some families Odell is spelled O'Dell, in a mistaken Irish adaptation.",
"Notable people with the surname include Amy Odell, Jack Odell, and Mats Odell.",
"Amy Odell is a British singer-songwriter.",
"Jack Odell is an English toy inventor."
] | [
"∀x (Odell(x) → Surname(x))",
"∃x (Odell(x) ∧ SpelledODell(x))",
"Odell(amyOdell) ∧ NotablePeople(amyOdell) ∧ Odell(jackOdell) ∧ NotablePeople(jackOdell) ∧ Odell(matsOdell) ∧ NotablePeople(matsOdell)",
"British(amyOdell) ∧ Singer(amyOdell) ∧ SongWriter(amyOdell)",
"English(jackOdell) ∧ ToyInvertor(jackOdell)"
] | Unknown |
Amy Odell is also Amy O'dell. | [
"Odell is an English surname originating in Odell, Bedfordshire.",
"In some families Odell is spelled O'Dell, in a mistaken Irish adaptation.",
"Notable people with the surname include Amy Odell, Jack Odell, and Mats Odell.",
"Amy Odell is a British singer-songwriter.",
"Jack Odell is an English toy inventor."
] | [
"∀x (Odell(x) → Surname(x))",
"∃x (Odell(x) ∧ SpelledODell(x))",
"Odell(amyOdell) ∧ NotablePeople(amyOdell) ∧ Odell(jackOdell) ∧ NotablePeople(jackOdell) ∧ Odell(matsOdell) ∧ NotablePeople(matsOdell)",
"British(amyOdell) ∧ Singer(amyOdell) ∧ SongWriter(amyOdell)",
"English(jackOdell) ∧ ToyInvertor(jackOdell)"
] | Unknown |
Mary gets from New Haven to New York City by train. | [
"If you go somewhere by train, you will not lose time.",
"If you go somewhere by car and meet traffic jam, you will lose time.",
"If you lose time, you will be late for work.",
"Mary can get from New Haven to New York City either by train or car.",
"Mary is late for work."
] | [
"∀x (Train(x) → ¬LoseTime(x))",
"∀x ((Car(x) ∧ MeetJam(x)) → LoseTime(x))",
"∀x (LoseTime(x) ↔ LateForWork(x))",
"Train(mary) ⊕ Car(mary)",
"LateForWork(mary)"
] | False |
Mary gets from New Haven to New York City by car. | [
"If you go somewhere by train, you will not lose time.",
"If you go somewhere by car and meet traffic jam, you will lose time.",
"If you lose time, you will be late for work.",
"Mary can get from New Haven to New York City either by train or car.",
"Mary is late for work."
] | [
"∀x (Train(x) → ¬LoseTime(x))",
"∀x ((Car(x) ∧ MeetJam(x)) → LoseTime(x))",
"∀x (LoseTime(x) ↔ LateForWork(x))",
"Train(mary) ⊕ Car(mary)",
"LateForWork(mary)"
] | True |
Mary meets traffic jam. | [
"If you go somewhere by train, you will not lose time.",
"If you go somewhere by car and meet traffic jam, you will lose time.",
"If you lose time, you will be late for work.",
"Mary can get from New Haven to New York City either by train or car.",
"Mary is late for work."
] | [
"∀x (Train(x) → ¬LoseTime(x))",
"∀x ((Car(x) ∧ MeetJam(x)) → LoseTime(x))",
"∀x (LoseTime(x) ↔ LateForWork(x))",
"Train(mary) ⊕ Car(mary)",
"LateForWork(mary)"
] | Unknown |
If a person is not hungry, the person is unhappy. | [
"If a person is hungry, the person is uncomfortable.",
"If a person is uncomfortable, the person is unhappy."
] | [
"∀x (Hungry(x) → Uncomfortable(x))",
"∀x (Uncomfortable(x) → ¬Happy(x))"
] | Unknown |
Mary is a white-collar worker. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | Unknown |
Mary is an advocate. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | False |
Mary is not an advocate. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | True |
Mary is either an advocate or a tipped employee. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | False |
If Mary is not an advocate and gets a guaranteed minimum wage, she is not a tipped employee. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | True |
If Mary is either an advocate or a tipped employee, she is an advocate. | [
"Tipped employees do not get a guaranteed minimum wage.",
"If a person is a white-collar worker, they will get a guaranteed minimum wage (All white-collar workers get a guaranteed minimum wage).",
"All lawyers are white-collar workers.",
"Every advocate is a lawyer.",
"Mary is not a lawyer or a tipped employee."
] | [
"∀x (Tipped(x) → ¬GetMinWage(x))",
"∀x (WhiteCollar(x) → GetMinWage(x))",
"∀x (Lawyer(x) → WhiteCollar(x))",
"∀x (Advocate(x) → Lawyer(x))",
"¬Lawyer(mary) ⊕ Tipped(mary)"
] | True |