conclusion
stringlengths 10
388
| premises
sequence | premises-FOL
sequence | label
stringclasses 3
values |
---|---|---|---|
If Nancy is not a pirate or a toddler, then she loves animals and is a kid. | [
"All kids love animals.",
"All toddlers are kids.",
"If someone loves animals, then they are not bad.",
"All pirates are bad.",
"If Nancy is not a pirate, then Nancy loves animals.",
"If Nancy is not a toddler, then Nancy is bad."
] | [
"∀x (Kid(x) → LoveAnimals(x))",
"∀x (Toddler(x) → Kid(x))",
"∀x (LoveAnimals(x) → ¬Bad(x))",
"∀x (Pirate(x) → Bad(x))",
"¬Pirate(nancy) → LoveAnimals(nancy)",
"¬Toddler(nancy) → Bad(nancy)"
] | True |
Lana Wilson is a US filmmaker. | [
"Lana Wilson directed After Tiller, The Departure, and Miss Americana.",
"If a film is directedy by a person, the person is a filmmaker.",
"After Tiller is a documentary.",
"The documentary is a type of films.",
"Lana Wilson is from Kirkland.",
"Kirkland is a US city.",
"If a person is from a city in a country, the person is from the country.",
"After Tiller is nominated for the Independent Spirit Award for Best Documentary."
] | [
"DirectedBy(after_Tiller, lana_Wilson) ∧ DirectedBy(the_Departure, lana_Wilson) ∧ DirectedBy(miss_Americana, lana_Wilson)",
"∀x ∃y (DirectedBy(y, x) → Filmmaker(x))",
"IsDocumentary(after_Tiller)",
"∀x (IsDocumentary(x) → IsFilm(x))",
"FromCity(lana_Wilson, kirkland)",
"CityCountry(kirkland, us)",
"∀x ∀y ∀z (FromCity(x, y) ∧ CityCountry(y, z) → FromCountry(x, z))",
"Nomination(after_Tiller, the_Independent_Spirit_Award_for_Best_Documentary)"
] | True |
Miss Americana is not directed by a filmmaker from Kirkland. | [
"Lana Wilson directed After Tiller, The Departure, and Miss Americana.",
"If a film is directedy by a person, the person is a filmmaker.",
"After Tiller is a documentary.",
"The documentary is a type of films.",
"Lana Wilson is from Kirkland.",
"Kirkland is a US city.",
"If a person is from a city in a country, the person is from the country.",
"After Tiller is nominated for the Independent Spirit Award for Best Documentary."
] | [
"DirectedBy(after_Tiller, lana_Wilson) ∧ DirectedBy(the_Departure, lana_Wilson) ∧ DirectedBy(miss_Americana, lana_Wilson)",
"∀x ∃y (DirectedBy(y, x) → Filmmaker(x))",
"IsDocumentary(after_Tiller)",
"∀x (IsDocumentary(x) → IsFilm(x))",
"FromCity(lana_Wilson, kirkland)",
"CityCountry(kirkland, us)",
"∀x ∀y ∀z (FromCity(x, y) ∧ CityCountry(y, z) → FromCountry(x, z))",
"Nomination(after_Tiller, the_Independent_Spirit_Award_for_Best_Documentary)"
] | False |
Lana Wilson has won the Independent Spirit Award. | [
"Lana Wilson directed After Tiller, The Departure, and Miss Americana.",
"If a film is directedy by a person, the person is a filmmaker.",
"After Tiller is a documentary.",
"The documentary is a type of films.",
"Lana Wilson is from Kirkland.",
"Kirkland is a US city.",
"If a person is from a city in a country, the person is from the country.",
"After Tiller is nominated for the Independent Spirit Award for Best Documentary."
] | [
"DirectedBy(after_Tiller, lana_Wilson) ∧ DirectedBy(the_Departure, lana_Wilson) ∧ DirectedBy(miss_Americana, lana_Wilson)",
"∀x ∃y (DirectedBy(y, x) → Filmmaker(x))",
"IsDocumentary(after_Tiller)",
"∀x (IsDocumentary(x) → IsFilm(x))",
"FromCity(lana_Wilson, kirkland)",
"CityCountry(kirkland, us)",
"∀x ∀y ∀z (FromCity(x, y) ∧ CityCountry(y, z) → FromCountry(x, z))",
"Nomination(after_Tiller, the_Independent_Spirit_Award_for_Best_Documentary)"
] | Unknown |
Not all bears are wild. | [
"All bears in zoos are not wild. ",
"Some bears are in zoos. "
] | [
"∀x ((Bear(x) ∧ InZoo(x)) → ¬Wild(x))",
"∃x (Bear(x) ∧ InZoo(x)) "
] | True |
Elizabeth is a king. | [
"If a person is the leader of a country for life, that person is in a monarchy. ",
"Leaders are either a king or a queen.",
"Queens are female.",
"Kings are male. ",
"Elizabeth is a queen.",
"Elizabeth is a leader"
] | [
"∀x (Leader(x) → InMonarchy(x))",
"∀x (Leader(x) → King(x) ⊕ Queen(x))",
"∀x (Queen(x) → Female(x))",
"∀x (King(x) → Male(x))",
"Queen(elizabeth)",
"Leader(elizabeth)"
] | False |
Elizabeth is in a monarchy. | [
"If a person is the leader of a country for life, that person is in a monarchy. ",
"Leaders are either a king or a queen.",
"Queens are female.",
"Kings are male. ",
"Elizabeth is a queen.",
"Elizabeth is a leader"
] | [
"∀x (Leader(x) → InMonarchy(x))",
"∀x (Leader(x) → King(x) ⊕ Queen(x))",
"∀x (Queen(x) → Female(x))",
"∀x (King(x) → Male(x))",
"Queen(elizabeth)",
"Leader(elizabeth)"
] | True |
Elizabeth is a leader of a country. | [
"If a person is the leader of a country for life, that person is in a monarchy. ",
"Leaders are either a king or a queen.",
"Queens are female.",
"Kings are male. ",
"Elizabeth is a queen.",
"Elizabeth is a leader"
] | [
"∀x (Leader(x) → InMonarchy(x))",
"∀x (Leader(x) → King(x) ⊕ Queen(x))",
"∀x (Queen(x) → Female(x))",
"∀x (King(x) → Male(x))",
"Queen(elizabeth)",
"Leader(elizabeth)"
] | True |
Clay does not have a regular 9-5 job. | [
"If people make their own matcha teas every morning with ceremonial-grade matcha powder, then they do not wake up late and start their schedules past noon regularly.",
"If people live in California and attend yoga classes regularly, then they make their own matcha teas every morning with ceremonial-grade matcha powder.",
"If people work in the entertainment industry as high-profile celebrities, then they wake up late and start their schedules past noon regularly.",
"If people do not have regular 9-5 jobs, then they work in the entertainment industry as high-profile celebrities.",
"All people who prefer working at home over going to the office every day do not have regular 9-5 jobs.",
"Clay either both prefers to work at home over going to the office every day and makes his own matcha teas every morning with ceremonial-grade matcha powder, or he neither prefers to work at home over going to the office every day nor makes his own matcha teas every morning with ceremonial-grade matcha powder."
] | [
"∀x (Matcha(x) → ¬Late(x))",
"∀x (California(x) → Matcha(x))",
"∀x (Celebrities(x) → Late(x))",
"∀x (Jobs(x) → Celebrities(x))",
"∀x (WorkHome(x) → Jobs(x))",
"(WorkHome(clay) ∧ Matcha(clay)) ⊕ (¬WorkHome(clay) ∧ ¬Matcha(clay))"
] | Unknown |
Clay lives in California and attends yoga classes regularly. | [
"If people make their own matcha teas every morning with ceremonial-grade matcha powder, then they do not wake up late and start their schedules past noon regularly.",
"If people live in California and attend yoga classes regularly, then they make their own matcha teas every morning with ceremonial-grade matcha powder.",
"If people work in the entertainment industry as high-profile celebrities, then they wake up late and start their schedules past noon regularly.",
"If people do not have regular 9-5 jobs, then they work in the entertainment industry as high-profile celebrities.",
"All people who prefer working at home over going to the office every day do not have regular 9-5 jobs.",
"Clay either both prefers to work at home over going to the office every day and makes his own matcha teas every morning with ceremonial-grade matcha powder, or he neither prefers to work at home over going to the office every day nor makes his own matcha teas every morning with ceremonial-grade matcha powder."
] | [
"∀x (Matcha(x) → ¬Late(x))",
"∀x (California(x) → Matcha(x))",
"∀x (Celebrities(x) → Late(x))",
"∀x (Jobs(x) → Celebrities(x))",
"∀x (WorkHome(x) → Jobs(x))",
"(WorkHome(clay) ∧ Matcha(clay)) ⊕ (¬WorkHome(clay) ∧ ¬Matcha(clay))"
] | False |
Clay neither prefers working at home over going to the office every day nor lives in California and attends yoga classes regularly. | [
"If people make their own matcha teas every morning with ceremonial-grade matcha powder, then they do not wake up late and start their schedules past noon regularly.",
"If people live in California and attend yoga classes regularly, then they make their own matcha teas every morning with ceremonial-grade matcha powder.",
"If people work in the entertainment industry as high-profile celebrities, then they wake up late and start their schedules past noon regularly.",
"If people do not have regular 9-5 jobs, then they work in the entertainment industry as high-profile celebrities.",
"All people who prefer working at home over going to the office every day do not have regular 9-5 jobs.",
"Clay either both prefers to work at home over going to the office every day and makes his own matcha teas every morning with ceremonial-grade matcha powder, or he neither prefers to work at home over going to the office every day nor makes his own matcha teas every morning with ceremonial-grade matcha powder."
] | [
"∀x (Matcha(x) → ¬Late(x))",
"∀x (California(x) → Matcha(x))",
"∀x (Celebrities(x) → Late(x))",
"∀x (Jobs(x) → Celebrities(x))",
"∀x (WorkHome(x) → Jobs(x))",
"(WorkHome(clay) ∧ Matcha(clay)) ⊕ (¬WorkHome(clay) ∧ ¬Matcha(clay))"
] | True |
Thomas Barber played in the Football League for Bolton Wanderers | [
"Thomas Barber was an English professional footballer.",
"Thomas Barber played in the Football League for Aston Villa.",
"Thomas Barber played as a half back and inside left.",
"Thomas Barber scored the winning goal in the 1913 FA Cup Final."
] | [
"English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber)",
"PlayedInTheFootballLeagueFor(thomasBarber, astonVilla)",
"PlayedAs(thomasBarber, aHalfBack) ∧ PlayedAs(thomasBarber, anInsideLeft)",
"ScoredTheWinningGoalIn(thomasBarber, facupfinal1913)"
] | Unknown |
Thomas Barber played as an inside left. | [
"Thomas Barber was an English professional footballer.",
"Thomas Barber played in the Football League for Aston Villa.",
"Thomas Barber played as a half back and inside left.",
"Thomas Barber scored the winning goal in the 1913 FA Cup Final."
] | [
"English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber)",
"PlayedInTheFootballLeagueFor(thomasBarber, astonVilla)",
"PlayedAs(thomasBarber, aHalfBack) ∧ PlayedAs(thomasBarber, anInsideLeft)",
"ScoredTheWinningGoalIn(thomasBarber, facupfinal1913)"
] | True |
An English professional footballer scored the winning goal in the 1913 FA Cup Final. | [
"Thomas Barber was an English professional footballer.",
"Thomas Barber played in the Football League for Aston Villa.",
"Thomas Barber played as a half back and inside left.",
"Thomas Barber scored the winning goal in the 1913 FA Cup Final."
] | [
"English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber)",
"PlayedInTheFootballLeagueFor(thomasBarber, astonVilla)",
"PlayedAs(thomasBarber, aHalfBack) ∧ PlayedAs(thomasBarber, anInsideLeft)",
"ScoredTheWinningGoalIn(thomasBarber, facupfinal1913)"
] | True |
Oliver plays piano in the concert. | [
"If people play the instrument in the concert, then he is good at playing this kind of instrument.",
"Peter plays piano, violin, and saxophone.",
"Peter was invited to play piano at the concert hall.",
"Oliver and Peter were both invited to perform in the concert.",
"Oliver plays a different musical instrument from Peter in the concert."
] | [
"∀y (∀x (PlayInConcert(y, x) → GoodAt(y, x)))",
"Play(peter, piano) ∧Play(peter, violin)",
"PlayInConcert(peter, piano)",
"PlayerInConcert(peter) ∧ PlayerInConcert(oliver)",
"¬PlayInConcert(oliver, piano)"
] | False |
Oliver plays violin in the concert. | [
"If people play the instrument in the concert, then he is good at playing this kind of instrument.",
"Peter plays piano, violin, and saxophone.",
"Peter was invited to play piano at the concert hall.",
"Oliver and Peter were both invited to perform in the concert.",
"Oliver plays a different musical instrument from Peter in the concert."
] | [
"∀y (∀x (PlayInConcert(y, x) → GoodAt(y, x)))",
"Play(peter, piano) ∧Play(peter, violin)",
"PlayInConcert(peter, piano)",
"PlayerInConcert(peter) ∧ PlayerInConcert(oliver)",
"¬PlayInConcert(oliver, piano)"
] | Unknown |
Peter is good at playing piano. | [
"If people play the instrument in the concert, then he is good at playing this kind of instrument.",
"Peter plays piano, violin, and saxophone.",
"Peter was invited to play piano at the concert hall.",
"Oliver and Peter were both invited to perform in the concert.",
"Oliver plays a different musical instrument from Peter in the concert."
] | [
"∀y (∀x (PlayInConcert(y, x) → GoodAt(y, x)))",
"Play(peter, piano) ∧Play(peter, violin)",
"PlayInConcert(peter, piano)",
"PlayerInConcert(peter) ∧ PlayerInConcert(oliver)",
"¬PlayInConcert(oliver, piano)"
] | True |
George enjoys basking in the sun. | [
"If something can go underwater, then it enjoys water.",
"All animals that can swim can go underwater.",
"Either an animal can swim or it can walk.",
"Animals that can walk travel on land.",
"Animals that enjoy water splash water around.",
"Every animal that travels on land enjoys basking in the sun.",
"George splashes water around and can swim.",
"Liam is either an animal that can walk and enjoys water, or is neither an animal that can walk nor enjoys water."
] | [
"∀x (GoesUnderwater(x) → EnjoysWater(x))",
"∀x (CanSwim(x) → GoesUnderwater(x))",
"∀x (CanSwim(x) ∨ CanWalk(x))",
"∀x (CanWalk(x) → TravelsOnLand(x))",
"∀x (EnjoysWater(x) → Splashes(x))",
"∀x (TravelsOnLand(x) → EnjoysBasking(x))",
"Splashes(george) ∧ CanSwim(george)",
"(CanWalk(liam) ∧ EnjoysWater(liam)) ∨ (¬CanWalk(liam) ∧ ¬EnjoysWater(liam))"
] | Unknown |
Liam enjoys basking in the sun and splashing water around. | [
"If something can go underwater, then it enjoys water.",
"All animals that can swim can go underwater.",
"Either an animal can swim or it can walk.",
"Animals that can walk travel on land.",
"Animals that enjoy water splash water around.",
"Every animal that travels on land enjoys basking in the sun.",
"George splashes water around and can swim.",
"Liam is either an animal that can walk and enjoys water, or is neither an animal that can walk nor enjoys water."
] | [
"∀x (GoesUnderwater(x) → EnjoysWater(x))",
"∀x (CanSwim(x) → GoesUnderwater(x))",
"∀x (CanSwim(x) ∨ CanWalk(x))",
"∀x (CanWalk(x) → TravelsOnLand(x))",
"∀x (EnjoysWater(x) → Splashes(x))",
"∀x (TravelsOnLand(x) → EnjoysBasking(x))",
"Splashes(george) ∧ CanSwim(george)",
"(CanWalk(liam) ∧ EnjoysWater(liam)) ∨ (¬CanWalk(liam) ∧ ¬EnjoysWater(liam))"
] | True |
Liam neither enjoys basking in the sun nor splashing water around. | [
"If something can go underwater, then it enjoys water.",
"All animals that can swim can go underwater.",
"Either an animal can swim or it can walk.",
"Animals that can walk travel on land.",
"Animals that enjoy water splash water around.",
"Every animal that travels on land enjoys basking in the sun.",
"George splashes water around and can swim.",
"Liam is either an animal that can walk and enjoys water, or is neither an animal that can walk nor enjoys water."
] | [
"∀x (GoesUnderwater(x) → EnjoysWater(x))",
"∀x (CanSwim(x) → GoesUnderwater(x))",
"∀x (CanSwim(x) ∨ CanWalk(x))",
"∀x (CanWalk(x) → TravelsOnLand(x))",
"∀x (EnjoysWater(x) → Splashes(x))",
"∀x (TravelsOnLand(x) → EnjoysBasking(x))",
"Splashes(george) ∧ CanSwim(george)",
"(CanWalk(liam) ∧ EnjoysWater(liam)) ∨ (¬CanWalk(liam) ∧ ¬EnjoysWater(liam))"
] | False |
Cancer researchers tend to use the cancer effect size to determine the relative importance of the genetic alterations that confer selective advantage to cancer cells. | [
"Cancer biology is finding genetic alterations that confer selective advantage to cancer cells. ",
"Cancer researchers have frequently ranked the importance of substitutions to cancer growth by P value.",
"P values are thresholds for belief, not metrics of effect. "
] | [
"FindingGeneticAlterationsConferSelectiveAdvantageCancerCells(cancerBiology)",
" PValue(cancerResearchers, theImportanceOfSubstitutionsToCancerGrowth)",
" ∀x (PValue(x) → ThresholdsForBelief(x) ∧ ¬MetricsOfEffect(x))"
] | Unknown |
P value represents the selection intensity for somatic variants in cancer cell lineages. | [
"Cancer biology is finding genetic alterations that confer selective advantage to cancer cells. ",
"Cancer researchers have frequently ranked the importance of substitutions to cancer growth by P value.",
"P values are thresholds for belief, not metrics of effect. "
] | [
"FindingGeneticAlterationsConferSelectiveAdvantageCancerCells(cancerBiology)",
" PValue(cancerResearchers, theImportanceOfSubstitutionsToCancerGrowth)",
" ∀x (PValue(x) → ThresholdsForBelief(x) ∧ ¬MetricsOfEffect(x))"
] | Unknown |
Cancer effect size is a metric that is preferred by the majority of cancer researchers. | [
"Cancer biology is finding genetic alterations that confer selective advantage to cancer cells. ",
"Cancer researchers have frequently ranked the importance of substitutions to cancer growth by P value.",
"P values are thresholds for belief, not metrics of effect. "
] | [
"FindingGeneticAlterationsConferSelectiveAdvantageCancerCells(cancerBiology)",
" PValue(cancerResearchers, theImportanceOfSubstitutionsToCancerGrowth)",
" ∀x (PValue(x) → ThresholdsForBelief(x) ∧ ¬MetricsOfEffect(x))"
] | Unknown |
P value doesn't represent metrics of effect. | [
"Cancer biology is finding genetic alterations that confer selective advantage to cancer cells. ",
"Cancer researchers have frequently ranked the importance of substitutions to cancer growth by P value.",
"P values are thresholds for belief, not metrics of effect. "
] | [
"FindingGeneticAlterationsConferSelectiveAdvantageCancerCells(cancerBiology)",
" PValue(cancerResearchers, theImportanceOfSubstitutionsToCancerGrowth)",
" ∀x (PValue(x) → ThresholdsForBelief(x) ∧ ¬MetricsOfEffect(x))"
] | True |
A worksheet is dispensable. | [
"All dispensable things are environment-friendly. ",
"All woodware is dispensable.",
"All paper is woodware. ",
"No good things are bad. ",
"All environment-friendly things are good.",
"A worksheet is either paper or is environment-friendly."
] | [
"∀x (Dispensable(x) → EnvironmentFriendly(x))",
"∀x (Woodware(x) → Dispensable(x))",
"∀x (Paper(x) → Woodware(x))",
"∀x (Good(x) → ¬Bad(x))",
"∀x (EnvironmentFriendly(x) → Good(x))",
"Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)"
] | Unknown |
A worksheet is not dispensable. | [
"All dispensable things are environment-friendly. ",
"All woodware is dispensable.",
"All paper is woodware. ",
"No good things are bad. ",
"All environment-friendly things are good.",
"A worksheet is either paper or is environment-friendly."
] | [
"∀x (Dispensable(x) → EnvironmentFriendly(x))",
"∀x (Woodware(x) → Dispensable(x))",
"∀x (Paper(x) → Woodware(x))",
"∀x (Good(x) → ¬Bad(x))",
"∀x (EnvironmentFriendly(x) → Good(x))",
"Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)"
] | Unknown |
A worksheet is bad. | [
"All dispensable things are environment-friendly. ",
"All woodware is dispensable.",
"All paper is woodware. ",
"No good things are bad. ",
"All environment-friendly things are good.",
"A worksheet is either paper or is environment-friendly."
] | [
"∀x (Dispensable(x) → EnvironmentFriendly(x))",
"∀x (Woodware(x) → Dispensable(x))",
"∀x (Paper(x) → Woodware(x))",
"∀x (Good(x) → ¬Bad(x))",
"∀x (EnvironmentFriendly(x) → Good(x))",
"Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)"
] | False |
A worksheet is not bad. | [
"All dispensable things are environment-friendly. ",
"All woodware is dispensable.",
"All paper is woodware. ",
"No good things are bad. ",
"All environment-friendly things are good.",
"A worksheet is either paper or is environment-friendly."
] | [
"∀x (Dispensable(x) → EnvironmentFriendly(x))",
"∀x (Woodware(x) → Dispensable(x))",
"∀x (Paper(x) → Woodware(x))",
"∀x (Good(x) → ¬Bad(x))",
"∀x (EnvironmentFriendly(x) → Good(x))",
"Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)"
] | True |
Some snake has fur. | [
"No reptile has fur.",
"All snakes are reptiles."
] | [
"∀x (Reptile(x) → ¬HasFur(x))",
"∀x (Snake(x) → Reptile(x))"
] | False |
Tower A is low. | [
"All buildings in New Haven are low. ",
"All buildings managed by the Yale Housing are located in New Haven. ",
"All buildings in Manhattans are high. ",
"All buildings owned by Bloomberg are located in Manhattans. ",
"All buildings with the Bloomberg logo are owned by Bloomberg. ",
"Tower A is managed by the Yale Housing.",
"Tower B is with the Bloomberg logo."
] | [
"∀x (Located(newhaven, x) → ¬High(x))",
"∀x (YaleHousing(x) → Located(newhaven, x))",
"∀x (Located(manhattans, x) → High(x))",
"∀x (Bloomberg(x) → Located(manhattans, x))",
"∀x (BloombergLogo(x) → Bloomberg(x))",
"YaleHousing(tower-a)",
"BloombergLogo(tower-b)"
] | True |
Tower B is not located in Manhattans. | [
"All buildings in New Haven are low. ",
"All buildings managed by the Yale Housing are located in New Haven. ",
"All buildings in Manhattans are high. ",
"All buildings owned by Bloomberg are located in Manhattans. ",
"All buildings with the Bloomberg logo are owned by Bloomberg. ",
"Tower A is managed by the Yale Housing.",
"Tower B is with the Bloomberg logo."
] | [
"∀x (Located(newhaven, x) → ¬High(x))",
"∀x (YaleHousing(x) → Located(newhaven, x))",
"∀x (Located(manhattans, x) → High(x))",
"∀x (Bloomberg(x) → Located(manhattans, x))",
"∀x (BloombergLogo(x) → Bloomberg(x))",
"YaleHousing(tower-a)",
"BloombergLogo(tower-b)"
] | False |
Tower B is located in New Haven. | [
"All buildings in New Haven are low. ",
"All buildings managed by the Yale Housing are located in New Haven. ",
"All buildings in Manhattans are high. ",
"All buildings owned by Bloomberg are located in Manhattans. ",
"All buildings with the Bloomberg logo are owned by Bloomberg. ",
"Tower A is managed by the Yale Housing.",
"Tower B is with the Bloomberg logo."
] | [
"∀x (Located(newhaven, x) → ¬High(x))",
"∀x (YaleHousing(x) → Located(newhaven, x))",
"∀x (Located(manhattans, x) → High(x))",
"∀x (Bloomberg(x) → Located(manhattans, x))",
"∀x (BloombergLogo(x) → Bloomberg(x))",
"YaleHousing(tower-a)",
"BloombergLogo(tower-b)"
] | False |
Ron is a lizard. | [
"No cold-blooded animals are birds.",
"All reptiles are cold-blooded.",
"Either an animal is a bird or it eats other animals.",
"If an animal eats other animals, then it is a carnivore.",
"Ron is neither a cold-blooded animal nor a carnivore.",
"Henry is neither a carnivore nor a lizard."
] | [
"∀x (ColdBlooded(x) → ¬Bird(x))",
"∀x (Reptile(x) → ColdBlooded(x))",
"∀x (Bird(x) ∨ EatOtherAnimals(x))",
"∀x (EatOtherAnimals(x) → Carnivore(x))",
"¬ColdBlooded(ron) ∧ ¬Carnivore(ron)",
"¬Carnivore(henry) ∧ ¬Lizard(henry)"
] | Unknown |
Either Henry is a reptile or Ron eats other animals. | [
"No cold-blooded animals are birds.",
"All reptiles are cold-blooded.",
"Either an animal is a bird or it eats other animals.",
"If an animal eats other animals, then it is a carnivore.",
"Ron is neither a cold-blooded animal nor a carnivore.",
"Henry is neither a carnivore nor a lizard."
] | [
"∀x (ColdBlooded(x) → ¬Bird(x))",
"∀x (Reptile(x) → ColdBlooded(x))",
"∀x (Bird(x) ∨ EatOtherAnimals(x))",
"∀x (EatOtherAnimals(x) → Carnivore(x))",
"¬ColdBlooded(ron) ∧ ¬Carnivore(ron)",
"¬Carnivore(henry) ∧ ¬Lizard(henry)"
] | False |
It is not true that Ron is a reptile or that Henry is cold-blooded. | [
"No cold-blooded animals are birds.",
"All reptiles are cold-blooded.",
"Either an animal is a bird or it eats other animals.",
"If an animal eats other animals, then it is a carnivore.",
"Ron is neither a cold-blooded animal nor a carnivore.",
"Henry is neither a carnivore nor a lizard."
] | [
"∀x (ColdBlooded(x) → ¬Bird(x))",
"∀x (Reptile(x) → ColdBlooded(x))",
"∀x (Bird(x) ∨ EatOtherAnimals(x))",
"∀x (EatOtherAnimals(x) → Carnivore(x))",
"¬ColdBlooded(ron) ∧ ¬Carnivore(ron)",
"¬Carnivore(henry) ∧ ¬Lizard(henry)"
] | True |
Yevgeny Kurochkin discovered a new bird genus. | [
"Ambiortus is a prehistoric bird genus.",
"Ambiorus Dementjevi is the only known species of Ambiortus.",
"The Mongol region was where Ambiorus Dementjevi lived.",
"Yevgeny Kurochkin was the discoverer of Ambiortus."
] | [
"Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)",
"∀x (Species(x, ambiortus) → AmbiortusDementjevi(x))",
"∀x (AmbiortusDementjevi(x) → Lived(x, mongolregion))",
"Discovered(yevgenykurochkin, ambiortus)"
] | True |
There is a species of Ambiortus that doesn't live in the Mongol region. | [
"Ambiortus is a prehistoric bird genus.",
"Ambiorus Dementjevi is the only known species of Ambiortus.",
"The Mongol region was where Ambiorus Dementjevi lived.",
"Yevgeny Kurochkin was the discoverer of Ambiortus."
] | [
"Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)",
"∀x (Species(x, ambiortus) → AmbiortusDementjevi(x))",
"∀x (AmbiortusDementjevi(x) → Lived(x, mongolregion))",
"Discovered(yevgenykurochkin, ambiortus)"
] | False |
Yevgeny Kurochkin lived in the Mongol region. | [
"Ambiortus is a prehistoric bird genus.",
"Ambiorus Dementjevi is the only known species of Ambiortus.",
"The Mongol region was where Ambiorus Dementjevi lived.",
"Yevgeny Kurochkin was the discoverer of Ambiortus."
] | [
"Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)",
"∀x (Species(x, ambiortus) → AmbiortusDementjevi(x))",
"∀x (AmbiortusDementjevi(x) → Lived(x, mongolregion))",
"Discovered(yevgenykurochkin, ambiortus)"
] | Unknown |
All species of Ambiortus live in the Mongol region. | [
"Ambiortus is a prehistoric bird genus.",
"Ambiorus Dementjevi is the only known species of Ambiortus.",
"The Mongol region was where Ambiorus Dementjevi lived.",
"Yevgeny Kurochkin was the discoverer of Ambiortus."
] | [
"Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)",
"∀x (Species(x, ambiortus) → AmbiortusDementjevi(x))",
"∀x (AmbiortusDementjevi(x) → Lived(x, mongolregion))",
"Discovered(yevgenykurochkin, ambiortus)"
] | True |
Jack plays football. | [
"Everyone that uses a football can throw a football.",
"If someone plays football, then they use a football.",
"Either someone is a football player or a basketball player.",
"Every basketball player is tall.",
"Everyone that can throw a football can throw a football with a spiral.",
"If someone is tall, then they are in shape.",
"If Jack is neither tall nor a basketball player, then Jack is neither tall nor can throw a football."
] | [
"∀x (UseFootball(x) → ThrowFootball(x))",
"∀x (PlayFootball(x) → UseFootball(x))",
"∀x (BasketballPlayer(x) ∨ PlayFootball(x))",
"∀x (BasketballPlayer(x) → Tall(x))",
"∀x (ThrowFootball(x) → ThrowFootballSpiral(x))",
"∀x (Tall(x) → InShape(x))",
"¬Tall(jack) ∧ ¬BasketballPlayer(jack) → ¬Tall(jack) ∧ ¬ThrowFootball(jack)"
] | Unknown |
Jack is in shape. | [
"Everyone that uses a football can throw a football.",
"If someone plays football, then they use a football.",
"Either someone is a football player or a basketball player.",
"Every basketball player is tall.",
"Everyone that can throw a football can throw a football with a spiral.",
"If someone is tall, then they are in shape.",
"If Jack is neither tall nor a basketball player, then Jack is neither tall nor can throw a football."
] | [
"∀x (UseFootball(x) → ThrowFootball(x))",
"∀x (PlayFootball(x) → UseFootball(x))",
"∀x (BasketballPlayer(x) ∨ PlayFootball(x))",
"∀x (BasketballPlayer(x) → Tall(x))",
"∀x (ThrowFootball(x) → ThrowFootballSpiral(x))",
"∀x (Tall(x) → InShape(x))",
"¬Tall(jack) ∧ ¬BasketballPlayer(jack) → ¬Tall(jack) ∧ ¬ThrowFootball(jack)"
] | True |
Jack is not in shape. | [
"Everyone that uses a football can throw a football.",
"If someone plays football, then they use a football.",
"Either someone is a football player or a basketball player.",
"Every basketball player is tall.",
"Everyone that can throw a football can throw a football with a spiral.",
"If someone is tall, then they are in shape.",
"If Jack is neither tall nor a basketball player, then Jack is neither tall nor can throw a football."
] | [
"∀x (UseFootball(x) → ThrowFootball(x))",
"∀x (PlayFootball(x) → UseFootball(x))",
"∀x (BasketballPlayer(x) ∨ PlayFootball(x))",
"∀x (BasketballPlayer(x) → Tall(x))",
"∀x (ThrowFootball(x) → ThrowFootballSpiral(x))",
"∀x (Tall(x) → InShape(x))",
"¬Tall(jack) ∧ ¬BasketballPlayer(jack) → ¬Tall(jack) ∧ ¬ThrowFootball(jack)"
] | False |
Pierre de Rigaud de Vaudreuil built a fort in New France. | [
"Fort Ticonderoga is the current name for Fort Carillon.",
"Pierre de Rigaud de Vaudreuil built Fort Carillon.",
"Fort Carillon was located in New France.",
"New France is not in Europe."
] | [
"CurrentName(fortticonderoga, fortcarillon)",
"Built(pierrederigauddevaudreuil, fortcarillon)",
"LocatedIn(fortcarillon, newfrance)",
"¬LocatedIn(newfrance, europe)"
] | True |
Pierre de Rigaud de Vaudreuil built a fort in New England. | [
"Fort Ticonderoga is the current name for Fort Carillon.",
"Pierre de Rigaud de Vaudreuil built Fort Carillon.",
"Fort Carillon was located in New France.",
"New France is not in Europe."
] | [
"CurrentName(fortticonderoga, fortcarillon)",
"Built(pierrederigauddevaudreuil, fortcarillon)",
"LocatedIn(fortcarillon, newfrance)",
"¬LocatedIn(newfrance, europe)"
] | Unknown |
Fort Carillon was located in Europe. | [
"Fort Ticonderoga is the current name for Fort Carillon.",
"Pierre de Rigaud de Vaudreuil built Fort Carillon.",
"Fort Carillon was located in New France.",
"New France is not in Europe."
] | [
"CurrentName(fortticonderoga, fortcarillon)",
"Built(pierrederigauddevaudreuil, fortcarillon)",
"LocatedIn(fortcarillon, newfrance)",
"¬LocatedIn(newfrance, europe)"
] | Unknown |
Stephen Curry is an NBA player. | [
"No soccer players are professional basketball players.",
"All NBA players are professional basketball players.",
"All defenders are soccer players.",
"All centerback players are defenders.",
"If Stephen Curry is an NBA player or a soccer player, then he is a professional basketball player."
] | [
"¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (Centerback(x) → Defender(x))",
"(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry)) → ProfessionalBasketballPlayer(stephencurry)"
] | Unknown |
Stephen Curry is a centerback player. | [
"No soccer players are professional basketball players.",
"All NBA players are professional basketball players.",
"All defenders are soccer players.",
"All centerback players are defenders.",
"If Stephen Curry is an NBA player or a soccer player, then he is a professional basketball player."
] | [
"¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (Centerback(x) → Defender(x))",
"(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry)) → ProfessionalBasketballPlayer(stephencurry)"
] | False |
Stephen Curry is not a centerback player. | [
"No soccer players are professional basketball players.",
"All NBA players are professional basketball players.",
"All defenders are soccer players.",
"All centerback players are defenders.",
"If Stephen Curry is an NBA player or a soccer player, then he is a professional basketball player."
] | [
"¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (Centerback(x) → Defender(x))",
"(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry)) → ProfessionalBasketballPlayer(stephencurry)"
] | True |
Inception is a folk song. | [
"No songs are visual. ",
"All folk songs are songs. ",
"All videos are visual. ",
"All movies are videos.",
"All sci-fi movies are movies.",
"Inception is a sci-fi movie.",
"Mac is neither a folk song nor a sci-fi movie."
] | [
"∀x (Song(x) → ¬Visual(x))",
"∀x (FolkSong(x) → Song(x))",
"∀x (Video(x) → Visual(x))",
"∀x (Movie(x) → Video(x))",
"∀x (ScifiMovie(x) → Movie(x))",
"ScifiMovie(inception)",
"¬FolkSong(mac) ∧ ¬ScifiMovie(mac)"
] | False |
Inception is not a folk song. | [
"No songs are visual. ",
"All folk songs are songs. ",
"All videos are visual. ",
"All movies are videos.",
"All sci-fi movies are movies.",
"Inception is a sci-fi movie.",
"Mac is neither a folk song nor a sci-fi movie."
] | [
"∀x (Song(x) → ¬Visual(x))",
"∀x (FolkSong(x) → Song(x))",
"∀x (Video(x) → Visual(x))",
"∀x (Movie(x) → Video(x))",
"∀x (ScifiMovie(x) → Movie(x))",
"ScifiMovie(inception)",
"¬FolkSong(mac) ∧ ¬ScifiMovie(mac)"
] | True |
Inception is either a video or a folk song. | [
"No songs are visual. ",
"All folk songs are songs. ",
"All videos are visual. ",
"All movies are videos.",
"All sci-fi movies are movies.",
"Inception is a sci-fi movie.",
"Mac is neither a folk song nor a sci-fi movie."
] | [
"∀x (Song(x) → ¬Visual(x))",
"∀x (FolkSong(x) → Song(x))",
"∀x (Video(x) → Visual(x))",
"∀x (Movie(x) → Video(x))",
"∀x (ScifiMovie(x) → Movie(x))",
"ScifiMovie(inception)",
"¬FolkSong(mac) ∧ ¬ScifiMovie(mac)"
] | True |
Mac is a video. | [
"No songs are visual. ",
"All folk songs are songs. ",
"All videos are visual. ",
"All movies are videos.",
"All sci-fi movies are movies.",
"Inception is a sci-fi movie.",
"Mac is neither a folk song nor a sci-fi movie."
] | [
"∀x (Song(x) → ¬Visual(x))",
"∀x (FolkSong(x) → Song(x))",
"∀x (Video(x) → Visual(x))",
"∀x (Movie(x) → Video(x))",
"∀x (ScifiMovie(x) → Movie(x))",
"ScifiMovie(inception)",
"¬FolkSong(mac) ∧ ¬ScifiMovie(mac)"
] | Unknown |
Jeff is a shy and reticent person. | [
"All extroverts are overtly expressive.",
"People are either extroverts or introverts.",
"If someone is an introvert, then they are shy and reticent. ",
"No shy and reticent person likes to talk to strangers.",
"Jeff is not an extrovert and someone who likes to talk to strangers."
] | [
"∀x (Extroverts(x) → OvertlyExpressive(x))",
" ∀x (Extroverts(x) ∨ Introverts(x)) ",
" ∀x (Introverts(x) → ShyAndReticentPerson(x))",
" ∀x (ShyAndReticentPerson(x) → ¬LikeToTalkToStrangers(x))",
" ¬Extroverts(jeff) ∧ ¬LikeToTalkToStrangers(jeff)"
] | Unknown |
Jeff is overtly expressive and likes to talk to strangers. | [
"All extroverts are overtly expressive.",
"People are either extroverts or introverts.",
"If someone is an introvert, then they are shy and reticent. ",
"No shy and reticent person likes to talk to strangers.",
"Jeff is not an extrovert and someone who likes to talk to strangers."
] | [
"∀x (Extroverts(x) → OvertlyExpressive(x))",
" ∀x (Extroverts(x) ∨ Introverts(x)) ",
" ∀x (Introverts(x) → ShyAndReticentPerson(x))",
" ∀x (ShyAndReticentPerson(x) → ¬LikeToTalkToStrangers(x))",
" ¬Extroverts(jeff) ∧ ¬LikeToTalkToStrangers(jeff)"
] | False |
If Jeff is either overtly expressive and likes to talk to strangers or neither overtly expressive nor likes to talk to strangers, then Jeff is neither an extrovert nor likes to talk to strangers. | [
"All extroverts are overtly expressive.",
"People are either extroverts or introverts.",
"If someone is an introvert, then they are shy and reticent. ",
"No shy and reticent person likes to talk to strangers.",
"Jeff is not an extrovert and someone who likes to talk to strangers."
] | [
"∀x (Extroverts(x) → OvertlyExpressive(x))",
" ∀x (Extroverts(x) ∨ Introverts(x)) ",
" ∀x (Introverts(x) → ShyAndReticentPerson(x))",
" ∀x (ShyAndReticentPerson(x) → ¬LikeToTalkToStrangers(x))",
" ¬Extroverts(jeff) ∧ ¬LikeToTalkToStrangers(jeff)"
] | True |
Candace is a top player in the league. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | Unknown |
Candace is bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | False |
Candace is solid at shooting 2-pointers or bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | True |
Candace is either solid at shooting 2-pointers or bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | True |
Candace is a low-scoring player or bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | False |
Candace is either a low-scoring player or bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | False |
Candace is either a player who successfully shoots a high percentage of 3-pointers or is bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | True |
If Candace is not solid at shooting 2-pointers and bad at mid-range shots, then Candace is not solid at shooting 2-pointers and is a player who successfully shoots a high percentage of 3-pointers. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | False |
If Candace is solid at shooting 2-pointers or successfully shoots a high percentage of 3-pointers, then Candace is a top player in the league and bad at mid-range shots. | [
"No low-scoring players are top players in the league.",
"Basketball players are either top players in the league or successfully shoot a high percentage of 3-pointers.",
"All players who successfully shoot a high percentage of 3-pointers are solid at shooting 2-pointers.",
"No players who are solid at shooting 2-pointers are bad at mid-range shots.",
"Candace is either a low-scoring player or successfully shoots a high percentage of 3-pointers."
] | [
"∀x (LowScore(x) → ¬TopPlayer(x))",
"∀x (TopPlayer(x) ∨ ThreePointer(x))",
"∀x (ThreePointer(x) → TwoPointer(x))",
"∀x (TwoPointer(x) → ¬BadMid(x))",
"LowScore(candace) ⊕ ThreePointer(candace)"
] | False |
No plants are mushrooms. | [
"No plants are fungi.",
"Mushrooms are fungi."
] | [
"∀x (Plant(x) → ¬Fungi(x))",
"∀x (Mushroom(x) → Fungi(x))"
] | True |
Some streets are clean | [
"No road is clean.",
"And some streets are roads."
] | [
"∀x (Road(x) → ¬Clean(x))",
"∃x (Street(x) ∧ Road(x))"
] | Unknown |
Some people flying from New York City to Seattle will be uncomfortable. | [
"New York City is on the East Coast. ",
"Seattle is on the West Coast. ",
"If a person from a city on the East coast is traveling to a city on the west coast, they will be on a long flight.",
"Most passengers on flights to Seattle from New York City are not in first class.",
"People on long flights are uncomfortable unless they're in first class"
] | [
"On(newyorkcity, eastcoast)",
"On(seattle, westcoast)",
"∀x ∀y ∀z ((TravelingFrom(x, y) ∧ On(y, eastcoast) ∧ TravelingTo(x, z) ∧ On(z, westcoast)) → OnLongFlight(x))",
"∃x (¬InFirstClass(x) ∧ TravelingFrom(x, newyorkcity) ∧ TravelingTo(x, seattle))",
"∀x (OnLongFlight(x) ∧ ¬InFirstClass(x) → Uncomfortable(x))"
] | False |
Singh Kaur makes a lot of money. | [
"Musicians have very busy lives.",
"Singh Kaur is a musician and famous.",
"If a musician is not famous, that musician will not make a lot of money.",
"A musician can be a singer or a writer."
] | [
"∀x (Musician(x) → Busy(x))",
"Musician(singhKaur) ∧ Famous(singhKaur)",
"∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeMoney(x))",
"∃x (Musician(x) ∧ Singer(x) ∨ Writer(x))"
] | Unknown |
Singh Kaur is a writer. | [
"Musicians have very busy lives.",
"Singh Kaur is a musician and famous.",
"If a musician is not famous, that musician will not make a lot of money.",
"A musician can be a singer or a writer."
] | [
"∀x (Musician(x) → Busy(x))",
"Musician(singhKaur) ∧ Famous(singhKaur)",
"∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeMoney(x))",
"∃x (Musician(x) ∧ Singer(x) ∨ Writer(x))"
] | Unknown |
Singh Kaur has a very busy life. | [
"Musicians have very busy lives.",
"Singh Kaur is a musician and famous.",
"If a musician is not famous, that musician will not make a lot of money.",
"A musician can be a singer or a writer."
] | [
"∀x (Musician(x) → Busy(x))",
"Musician(singhKaur) ∧ Famous(singhKaur)",
"∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeMoney(x))",
"∃x (Musician(x) ∧ Singer(x) ∨ Writer(x))"
] | True |
All buildings are magnificent. | [
"Each building is tall. ",
"Everything tall has height."
] | [
"∀x (Building(x) → ¬Tall(x))",
"∀x (Tall(x) → HasHeight(x))"
] | Unknown |
The main character of the film Garfield is childish and possessive. | [
"A cat named Garfield, which is the main character of the film Garfield, is orange and fat and likes having lasagna. ",
"Garfield and Odie, who is another pet of Jon, share the same home. ",
"Garfield hates Odie.",
"A pet who hates the pet with whom he shares the same owner is childish and possessive.",
"Cats are pets. "
] | [
"Cat(garfield) ∧ MainCharacterGarfield(garfield) ∧ BeOrange(garfield) ∧ BeFat(garfield) ∧ LikeLasagna(garfield)",
"Pet(garfield, jon) ∧ Pet(odie, jon) ∧ ShareHome(garfield, odie)",
"Hate(garfield, odie)",
"∀x ∀y ∃z (Pet(x, z) ∧ Pet(y, z) ∧ Hate(x, y) → BeChildish(x) ∧ BePossessive(x))",
"∀x ∃y (Cat(x) → Pet(x, y))"
] | True |
Hulu eats. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | Unknown |
Hulu does not eat. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | Unknown |
Hulu is dirt. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | False |
Hulu is an animal or dirt. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | True |
Hulu is either an animal or dirt. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | True |
If Hulu is either an animal or dirt, then Hulu eats and is dirt. | [
"All humans eat.",
"If something eats, then it is not a plant.",
"A thing is either plant or animal.",
"All goats are animals.",
"No dirt is an animal.",
"Hulu is a goat or a human."
] | [
"∀x (Human(x) → Eat(x))",
"∀x (Eat(x) → ¬Plant(x))",
"∀x (Plant(x) ∨ Animal(x))",
"∀x (Goat(x) → Animal(x))",
"∀x (Dirt(x) → ¬Animal(x))",
"Goat(hulu) ∨ Human(hulu)"
] | False |
The Controlled Substances Act prevents harmful things. | [
"A controlled substance is a drug.",
"There exist both harmful and beneficial controlled substances.",
"If a child is exposed to a controlled substance, he or she is in chemical endangerment.",
"Chemical Endangerment is harmful. ",
"The Controlled Substances Act was an act passed in 1971.",
"Some Acts prevent harmful things."
] | [
"∀x (ControlledSubstances(x) → Drugs(x))",
"∃x ∃x (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ Beneficial(x) ∧ Harmful(y))",
"∀x ∀y (ExposedToControlledSubstance(x, y) → ChemicalEndangerment(x))",
"∀x (ChemicalEndangerment(x) → Harmful(x))",
"PassedIn(controlledSubstancesAct, year1971) ∧ Act(controlledSubstancesAct)",
"∃x (Act(x) ∧ PreventsHarm(x))"
] | Unknown |
Some drugs are beneficial. | [
"A controlled substance is a drug.",
"There exist both harmful and beneficial controlled substances.",
"If a child is exposed to a controlled substance, he or she is in chemical endangerment.",
"Chemical Endangerment is harmful. ",
"The Controlled Substances Act was an act passed in 1971.",
"Some Acts prevent harmful things."
] | [
"∀x (ControlledSubstances(x) → Drugs(x))",
"∃x ∃x (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ Beneficial(x) ∧ Harmful(y))",
"∀x ∀y (ExposedToControlledSubstance(x, y) → ChemicalEndangerment(x))",
"∀x (ChemicalEndangerment(x) → Harmful(x))",
"PassedIn(controlledSubstancesAct, year1971) ∧ Act(controlledSubstancesAct)",
"∃x (Act(x) ∧ PreventsHarm(x))"
] | True |
A child in chemical endangerment is in harm. | [
"A controlled substance is a drug.",
"There exist both harmful and beneficial controlled substances.",
"If a child is exposed to a controlled substance, he or she is in chemical endangerment.",
"Chemical Endangerment is harmful. ",
"The Controlled Substances Act was an act passed in 1971.",
"Some Acts prevent harmful things."
] | [
"∀x (ControlledSubstances(x) → Drugs(x))",
"∃x ∃x (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ Beneficial(x) ∧ Harmful(y))",
"∀x ∀y (ExposedToControlledSubstance(x, y) → ChemicalEndangerment(x))",
"∀x (ChemicalEndangerment(x) → Harmful(x))",
"PassedIn(controlledSubstancesAct, year1971) ∧ Act(controlledSubstancesAct)",
"∃x (Act(x) ∧ PreventsHarm(x))"
] | True |
Mark Zuckerberg is an entrepreneur. | [
"No people who work at corporate jobs are starting a new company.",
"All entrepreneurs are starting a new company.",
"All risk-averse people are people who work at corporate jobs.",
"All people who hate working for others are entrepreneurs.",
"If Mark Zuckerberg is neither an entrepreneur nor a person who hates working for others, then Mark Zuckerberg is not a risk-averse person."
] | [
"∀x (WorkAtCorporateJobs(x) → ¬StartingANewCompany(x))",
" ∀x (Entrepreneurs(x) → StartingANewCompany(x))",
" ∀x (Risk-averse(x) → WorkAtCorporateJobs(x))",
" ∀x (HateWorkingForOthers(x) → Entrepreneurs(x))",
" ¬Entrepreneurs(markZuckerberg) ∨ ¬HateWorkingForOthers(markZuckerberg) → ¬Risk-averse(markZuckerberg)"
] | Unknown |
Mark Zuckerberg is a risk-averse person. | [
"No people who work at corporate jobs are starting a new company.",
"All entrepreneurs are starting a new company.",
"All risk-averse people are people who work at corporate jobs.",
"All people who hate working for others are entrepreneurs.",
"If Mark Zuckerberg is neither an entrepreneur nor a person who hates working for others, then Mark Zuckerberg is not a risk-averse person."
] | [
"∀x (WorkAtCorporateJobs(x) → ¬StartingANewCompany(x))",
" ∀x (Entrepreneurs(x) → StartingANewCompany(x))",
" ∀x (Risk-averse(x) → WorkAtCorporateJobs(x))",
" ∀x (HateWorkingForOthers(x) → Entrepreneurs(x))",
" ¬Entrepreneurs(markZuckerberg) ∨ ¬HateWorkingForOthers(markZuckerberg) → ¬Risk-averse(markZuckerberg)"
] | False |
Mark Zuckerberg is not a risk-averse person. | [
"No people who work at corporate jobs are starting a new company.",
"All entrepreneurs are starting a new company.",
"All risk-averse people are people who work at corporate jobs.",
"All people who hate working for others are entrepreneurs.",
"If Mark Zuckerberg is neither an entrepreneur nor a person who hates working for others, then Mark Zuckerberg is not a risk-averse person."
] | [
"∀x (WorkAtCorporateJobs(x) → ¬StartingANewCompany(x))",
" ∀x (Entrepreneurs(x) → StartingANewCompany(x))",
" ∀x (Risk-averse(x) → WorkAtCorporateJobs(x))",
" ∀x (HateWorkingForOthers(x) → Entrepreneurs(x))",
" ¬Entrepreneurs(markZuckerberg) ∨ ¬HateWorkingForOthers(markZuckerberg) → ¬Risk-averse(markZuckerberg)"
] | True |
If someone is cooking downstairs, it will always cause the first floor to become smokey. | [
"There are two kitchens in the house: the upstairs kitchen and the downstairs kitchen.",
"When someone is cooking in the downstairs kitchen, the first floor becomes smokey unless the air conditioner is running.",
"If the air conditioner is running and someone is cooking in the downstairs kitchen, all the smoke travels to the second floor."
] | [
"∀x (Kitchen(x) → Up(x) ⊕ Down(x))",
"(Cook(downstairs) ∧ ¬Run(ac)) → Smokey(firstFloor)",
"(Cook(downstairs) ∧ Run(ac)) → Smokey(secondFloor)"
] | Unknown |
If someone is cooking upstairs, the first floor will become smokey. | [
"There are two kitchens in the house: the upstairs kitchen and the downstairs kitchen.",
"When someone is cooking in the downstairs kitchen, the first floor becomes smokey unless the air conditioner is running.",
"If the air conditioner is running and someone is cooking in the downstairs kitchen, all the smoke travels to the second floor."
] | [
"∀x (Kitchen(x) → Up(x) ⊕ Down(x))",
"(Cook(downstairs) ∧ ¬Run(ac)) → Smokey(firstFloor)",
"(Cook(downstairs) ∧ Run(ac)) → Smokey(secondFloor)"
] | Unknown |
If someone is cooking downstairs and the air conditioner is running, there will be smoke upstairs. | [
"There are two kitchens in the house: the upstairs kitchen and the downstairs kitchen.",
"When someone is cooking in the downstairs kitchen, the first floor becomes smokey unless the air conditioner is running.",
"If the air conditioner is running and someone is cooking in the downstairs kitchen, all the smoke travels to the second floor."
] | [
"∀x (Kitchen(x) → Up(x) ⊕ Down(x))",
"(Cook(downstairs) ∧ ¬Run(ac)) → Smokey(firstFloor)",
"(Cook(downstairs) ∧ Run(ac)) → Smokey(secondFloor)"
] | True |
A highly developed city is located in the western hemisphere of the earth. | [
"New York City is Located in the United States of America.",
"United States of America is part of North America.",
"North America is in the western hemisphere of the earth.",
"New York City is a highly developed city.",
"If place A is located in place B and place B is located in place C, then place A is located in place C."
] | [
"Locate(nyc, usa)",
"Locate(usa, northAmerica)",
"Locate(northAmerica, westHemisphere)",
"HighlyDeveloped(nyc)",
"∀x ∀y ∀z ((Locate(x, y) ∧ Locate(y, z)) → Locate(x, z))"
] | True |
USA is not located in western hemisphere of the earth. | [
"New York City is Located in the United States of America.",
"United States of America is part of North America.",
"North America is in the western hemisphere of the earth.",
"New York City is a highly developed city.",
"If place A is located in place B and place B is located in place C, then place A is located in place C."
] | [
"Locate(nyc, usa)",
"Locate(usa, northAmerica)",
"Locate(northAmerica, westHemisphere)",
"HighlyDeveloped(nyc)",
"∀x ∀y ∀z ((Locate(x, y) ∧ Locate(y, z)) → Locate(x, z))"
] | False |
New York City is located in the New York State. | [
"New York City is Located in the United States of America.",
"United States of America is part of North America.",
"North America is in the western hemisphere of the earth.",
"New York City is a highly developed city.",
"If place A is located in place B and place B is located in place C, then place A is located in place C."
] | [
"Locate(nyc, usa)",
"Locate(usa, northAmerica)",
"Locate(northAmerica, westHemisphere)",
"HighlyDeveloped(nyc)",
"∀x ∀y ∀z ((Locate(x, y) ∧ Locate(y, z)) → Locate(x, z))"
] | Unknown |
There exists a poem written by an ancient Roman writer with a strong analogy of human aging. | [
"Callus 4 is a poem that was written by the ancient Roman writer Catullus.",
"Callus 4 is a story about the retirement of a well-traveled ship.",
"There is a strong analogy of human aging in the poem Callus 4.",
"Callus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves."
] | [
"Poem(callus4) ∧ WrittenBy(callus4, catullus) ∧ Roman(catullus)",
"RetirementShip(callus4)",
"Poem(callus4) → AgingAnalogy(callus4)",
"Poem(callus4) → Lambic(callus4) ∧ Waves(callus4)"
] | True |
There exists a poem written by an ancient Roman writer written in iambic petameter. | [
"Callus 4 is a poem that was written by the ancient Roman writer Catullus.",
"Callus 4 is a story about the retirement of a well-traveled ship.",
"There is a strong analogy of human aging in the poem Callus 4.",
"Callus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves."
] | [
"Poem(callus4) ∧ WrittenBy(callus4, catullus) ∧ Roman(catullus)",
"RetirementShip(callus4)",
"Poem(callus4) → AgingAnalogy(callus4)",
"Poem(callus4) → Lambic(callus4) ∧ Waves(callus4)"
] | Unknown |
Callus 4 is written in an unusual iambic trimeter to convey a strong analogy of human aging. | [
"Callus 4 is a poem that was written by the ancient Roman writer Catullus.",
"Callus 4 is a story about the retirement of a well-traveled ship.",
"There is a strong analogy of human aging in the poem Callus 4.",
"Callus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves."
] | [
"Poem(callus4) ∧ WrittenBy(callus4, catullus) ∧ Roman(catullus)",
"RetirementShip(callus4)",
"Poem(callus4) → AgingAnalogy(callus4)",
"Poem(callus4) → Lambic(callus4) ∧ Waves(callus4)"
] | False |
Michael Crichton has directed a film about robots. | [
"Westworld is an American science fiction-thriller TV series.",
"In 2016, a new television series named Westworld debuted on HBO.",
"The TV series Westworld is adapted from the original film in 1973, which was written and directed by Michael Crichton.",
"The 1973 film Westworld is about robots that malfunction and begin killing the human visitors."
] | [
"TVSeries(westworld) ∧ American(westworld) ∧ ScienceFictionThriller(westworld)",
"Debut(westworld, year2016)",
"∃x (Adapt(westworld, x) ∧ Produce(x, year1973) ∧ Write(michael, x) ∧ Direct(michael, x))",
"About(westworld, robots)"
] | Unknown |
An American TV series debuted in 2016. | [
"Westworld is an American science fiction-thriller TV series.",
"In 2016, a new television series named Westworld debuted on HBO.",
"The TV series Westworld is adapted from the original film in 1973, which was written and directed by Michael Crichton.",
"The 1973 film Westworld is about robots that malfunction and begin killing the human visitors."
] | [
"TVSeries(westworld) ∧ American(westworld) ∧ ScienceFictionThriller(westworld)",
"Debut(westworld, year2016)",
"∃x (Adapt(westworld, x) ∧ Produce(x, year1973) ∧ Write(michael, x) ∧ Direct(michael, x))",
"About(westworld, robots)"
] | True |
Russia did not win fewer gold medals than China. | [
"The 2008 Summer Olympics were held in Beijing, China.",
"The 2008 Summer Olympics were the second Summer Olympic Games to be held in a communist state.",
"China won the most gold medals (48) in the 2008 Summer Olympics.",
"The United States placed second in the gold medal tally but won the highest number of medals overall (112) in the 2008 Summer Olympics.",
"The third place in the gold medal tally was achieved by Russia in the 2008 Summer Olympics.",
"If a country places third in gold medals, then they had fewer gold medals than the team that won the most gold medals.",
"87 countries won at least one medal during the 2008 Games."
] | [
"HeldIn(summer2008olympics, beijingchina)",
"SecondToBe(summer2008olympics, heldincommuniststate)",
"Won(china, mostgoldmedals)",
"Placed(unitedstates, secondingoldmedals) ∧ Won(unitedstates, highestnumberofmedals)",
"Placed(russia, thirdingoldmedals)",
"∀x ∀y (Placed(x, thirdingoldmedals) ∧ Won(y, mostgoldmedals) → FewerGoldMedalsThan(x, y))",
"∃x (Country(x) ∧ Won(x, medal))"
] | False |
The United States won fewer gold medals than China. | [
"The 2008 Summer Olympics were held in Beijing, China.",
"The 2008 Summer Olympics were the second Summer Olympic Games to be held in a communist state.",
"China won the most gold medals (48) in the 2008 Summer Olympics.",
"The United States placed second in the gold medal tally but won the highest number of medals overall (112) in the 2008 Summer Olympics.",
"The third place in the gold medal tally was achieved by Russia in the 2008 Summer Olympics.",
"If a country places third in gold medals, then they had fewer gold medals than the team that won the most gold medals.",
"87 countries won at least one medal during the 2008 Games."
] | [
"HeldIn(summer2008olympics, beijingchina)",
"SecondToBe(summer2008olympics, heldincommuniststate)",
"Won(china, mostgoldmedals)",
"Placed(unitedstates, secondingoldmedals) ∧ Won(unitedstates, highestnumberofmedals)",
"Placed(russia, thirdingoldmedals)",
"∀x ∀y (Placed(x, thirdingoldmedals) ∧ Won(y, mostgoldmedals) → FewerGoldMedalsThan(x, y))",
"∃x (Country(x) ∧ Won(x, medal))"
] | Unknown |
Russia won fewer gold medals than China. | [
"The 2008 Summer Olympics were held in Beijing, China.",
"The 2008 Summer Olympics were the second Summer Olympic Games to be held in a communist state.",
"China won the most gold medals (48) in the 2008 Summer Olympics.",
"The United States placed second in the gold medal tally but won the highest number of medals overall (112) in the 2008 Summer Olympics.",
"The third place in the gold medal tally was achieved by Russia in the 2008 Summer Olympics.",
"If a country places third in gold medals, then they had fewer gold medals than the team that won the most gold medals.",
"87 countries won at least one medal during the 2008 Games."
] | [
"HeldIn(summer2008olympics, beijingchina)",
"SecondToBe(summer2008olympics, heldincommuniststate)",
"Won(china, mostgoldmedals)",
"Placed(unitedstates, secondingoldmedals) ∧ Won(unitedstates, highestnumberofmedals)",
"Placed(russia, thirdingoldmedals)",
"∀x ∀y (Placed(x, thirdingoldmedals) ∧ Won(y, mostgoldmedals) → FewerGoldMedalsThan(x, y))",
"∃x (Country(x) ∧ Won(x, medal))"
] | True |
Xiangshan and Diecai are districts in the same city. | [
"Xiufeng, Xiangshan, Diecai, Qixing are districts in the city of Guilin.",
"Yangshuo is not a district in Guilin. "
] | [
"DistrictIn(xiufeng, guilin) ∧ DistrictIn(xiangshan, guilin) ∧ DistrictIn(diecai, guilin) ∧ DistrictIn(qixing, guilin) ∧ City(guilin)",
"¬DistrictIn(yangshuo, guilin)"
] | True |
Xiufeng is in Guilin. | [
"Xiufeng, Xiangshan, Diecai, Qixing are districts in the city of Guilin.",
"Yangshuo is not a district in Guilin. "
] | [
"DistrictIn(xiufeng, guilin) ∧ DistrictIn(xiangshan, guilin) ∧ DistrictIn(diecai, guilin) ∧ DistrictIn(qixing, guilin) ∧ City(guilin)",
"¬DistrictIn(yangshuo, guilin)"
] | True |