conclusion
stringlengths 10
388
| premises
sequence | premises-FOL
sequence | label
stringclasses 3
values |
|---|---|---|---|
Asa Hoffmann is a New Yorkers. | [
"Asa Hoffmann was born in New York City.",
"Asa Hoffman lives in Manhattan.",
"Asa Hoffman is a chess player.",
"Some chess players are grandmasters.",
"People born and living in New York City are New Yorkers.",
"People liviing in Manhattan live in New York City."
] | [
"BornIn(asaHoffmann, newyorkcity)",
"LivesIn(asaHoffmann, manhattan)",
"IsChessPlayer(asaHoffmann)",
"∃x (IsChestPlayer(x) ∧ IsGrandMaster(x))",
"∀x (BornIn(x, newyorkcity) ∧ LivesIn(x, newyorkcity) → IsNewYorker(x))",
"∀x (LivesIn(x, manhattan) → LivesIn(x, newyorkcity))"
] | True |
Asa Hoffmann is a grandmaster. | [
"Asa Hoffmann was born in New York City.",
"Asa Hoffman lives in Manhattan.",
"Asa Hoffman is a chess player.",
"Some chess players are grandmasters.",
"People born and living in New York City are New Yorkers.",
"People liviing in Manhattan live in New York City."
] | [
"BornIn(asaHoffmann, newyorkcity)",
"LivesIn(asaHoffmann, manhattan)",
"IsChessPlayer(asaHoffmann)",
"∃x (IsChestPlayer(x) ∧ IsGrandMaster(x))",
"∀x (BornIn(x, newyorkcity) ∧ LivesIn(x, newyorkcity) → IsNewYorker(x))",
"∀x (LivesIn(x, manhattan) → LivesIn(x, newyorkcity))"
] | Unknown |
Asa Hoffmann does not live in New York. | [
"Asa Hoffmann was born in New York City.",
"Asa Hoffman lives in Manhattan.",
"Asa Hoffman is a chess player.",
"Some chess players are grandmasters.",
"People born and living in New York City are New Yorkers.",
"People liviing in Manhattan live in New York City."
] | [
"BornIn(asaHoffmann, newyorkcity)",
"LivesIn(asaHoffmann, manhattan)",
"IsChessPlayer(asaHoffmann)",
"∃x (IsChestPlayer(x) ∧ IsGrandMaster(x))",
"∀x (BornIn(x, newyorkcity) ∧ LivesIn(x, newyorkcity) → IsNewYorker(x))",
"∀x (LivesIn(x, manhattan) → LivesIn(x, newyorkcity))"
] | False |
Philip got a Schengen Visa. | [
"Some of those who apply for a Schengen Visa get it.",
"To apply for a Schengen Visa, you need to provide financial guarantees.",
"If you need to provide financial guarantees, you must request documents from the bank.",
"Do not close your bank account if you request documents from the bank.",
"Philip closed his bank account."
] | [
"∃x (ApplyVisa(x) → GetVisa(x))",
"∀x (ApplyVisa(x) → FinancialGuarantees(x))",
"∀x (FinancialGuarantees(x) → RequestDocuments(x))",
"∀x (RequestDocuments(x) → ¬CloseBankAccount(x))",
"CloseBankAccount(philip)"
] | Unknown |
Philip applied for a Schengen Visa and got it. | [
"Some of those who apply for a Schengen Visa get it.",
"To apply for a Schengen Visa, you need to provide financial guarantees.",
"If you need to provide financial guarantees, you must request documents from the bank.",
"Do not close your bank account if you request documents from the bank.",
"Philip closed his bank account."
] | [
"∃x (ApplyVisa(x) → GetVisa(x))",
"∀x (ApplyVisa(x) → FinancialGuarantees(x))",
"∀x (FinancialGuarantees(x) → RequestDocuments(x))",
"∀x (RequestDocuments(x) → ¬CloseBankAccount(x))",
"CloseBankAccount(philip)"
] | False |
If Philip did not request documents from the bank or get a Schengen Visa, he didn’t apply for a Schengen Visa. | [
"Some of those who apply for a Schengen Visa get it.",
"To apply for a Schengen Visa, you need to provide financial guarantees.",
"If you need to provide financial guarantees, you must request documents from the bank.",
"Do not close your bank account if you request documents from the bank.",
"Philip closed his bank account."
] | [
"∃x (ApplyVisa(x) → GetVisa(x))",
"∀x (ApplyVisa(x) → FinancialGuarantees(x))",
"∀x (FinancialGuarantees(x) → RequestDocuments(x))",
"∀x (RequestDocuments(x) → ¬CloseBankAccount(x))",
"CloseBankAccount(philip)"
] | True |
No fears lead to terror. | [
"Some fears lead to anxiety.",
"Some anxiety leads to terror."
] | [
"∃x (Fear(x) ∧ Anxiety(x))",
"∃x (Anxiety(x) ∧ Terror(x))"
] | Unknown |
Lake Erie has a major settlement. | [
"The Great Lakes are Lake Superior, Lake Michigan, Lake Huron, Lake Erie, and Lake Ontario.",
"Some major settlements of Lake Erie are in NY, PA, OH, and MI.",
"NY, PA, OH, MI are states in the US.",
"ON is a state of Canada.",
"There is a major settlement of Lake Huron in ON. ",
"All states are in their country.",
"The US is in North America.",
"The Great Lakes began to form at the end of the Last Glacial Period."
] | [
"∀x (GreatLake(x) → Superior(x) ∨ Michigan(x) ∨ Huron(x) ∨ Erie(x) ∨ Ontario(x))",
"∃x ∀y (Erie(y) ∧ MajorSettlementOf(x, y) ∧ In(x, ny) ∨ In(x, pa) ∨ In(x, oh) ∨ In(x, mi))",
"State(ny, us) ∧ State(pa, us) ∧ State(oh, us) ∧ State(mi, us)",
"State(on, canada)",
"∃x ∀y (Huron(y) ∧ MajorSettlementOf(x, y) ∧ In(x, on))",
"∀x ∀y (State(x, y) → In(x, y))",
"In(us, northamerica)",
"∀x (GreatLake(x) → FormAtEndOf(x, lastglacialperiod))"
] | True |
There is a great lake that did not form at the end of the Last Glacial Period. | [
"The Great Lakes are Lake Superior, Lake Michigan, Lake Huron, Lake Erie, and Lake Ontario.",
"Some major settlements of Lake Erie are in NY, PA, OH, and MI.",
"NY, PA, OH, MI are states in the US.",
"ON is a state of Canada.",
"There is a major settlement of Lake Huron in ON. ",
"All states are in their country.",
"The US is in North America.",
"The Great Lakes began to form at the end of the Last Glacial Period."
] | [
"∀x (GreatLake(x) → Superior(x) ∨ Michigan(x) ∨ Huron(x) ∨ Erie(x) ∨ Ontario(x))",
"∃x ∀y (Erie(y) ∧ MajorSettlementOf(x, y) ∧ In(x, ny) ∨ In(x, pa) ∨ In(x, oh) ∨ In(x, mi))",
"State(ny, us) ∧ State(pa, us) ∧ State(oh, us) ∧ State(mi, us)",
"State(on, canada)",
"∃x ∀y (Huron(y) ∧ MajorSettlementOf(x, y) ∧ In(x, on))",
"∀x ∀y (State(x, y) → In(x, y))",
"In(us, northamerica)",
"∀x (GreatLake(x) → FormAtEndOf(x, lastglacialperiod))"
] | False |
Stephen Curry is a professional basketball player. | [
"All defenders are soccer players.",
"No soccer players are professional basketball players.",
"All centerbacks are defenders.",
"All NBA players are professional basketball players.",
"If Stephen Curry is not an NBA player, then Stephen Curry is not an NBA player or a soccer player."
] | [
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (SoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))",
"∀x (CenterBack(x) → Defender(x))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"¬NBAPlayer(stephencurry) → ¬(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry))"
] | Unknown |
Stephen Curry is a centerback. | [
"All defenders are soccer players.",
"No soccer players are professional basketball players.",
"All centerbacks are defenders.",
"All NBA players are professional basketball players.",
"If Stephen Curry is not an NBA player, then Stephen Curry is not an NBA player or a soccer player."
] | [
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (SoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))",
"∀x (CenterBack(x) → Defender(x))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"¬NBAPlayer(stephencurry) → ¬(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry))"
] | False |
Stephen Curry is not a centerback. | [
"All defenders are soccer players.",
"No soccer players are professional basketball players.",
"All centerbacks are defenders.",
"All NBA players are professional basketball players.",
"If Stephen Curry is not an NBA player, then Stephen Curry is not an NBA player or a soccer player."
] | [
"∀x (Defender(x) → SoccerPlayer(x))",
"∀x (SoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))",
"∀x (CenterBack(x) → Defender(x))",
"∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))",
"¬NBAPlayer(stephencurry) → ¬(NBAPlayer(stephencurry) ⊕ SoccerPlayer(stephencurry))"
] | True |
Thomas Gilovich proposed naive cynicism. | [
"Naive cynicism was proposed by Justin Kruger and a colleague.",
"Thomas Gilovich is a colleague of Justin Kruger. ",
"Naive cynicism is a philosophy of mind."
] | [
"Proposed(justinKruger, naiveCynicism) ∧ Proposed(colleagueOfJustinKruger, naiveCynicism) ",
"Colleague(thomasGilovich, justinKruger)",
"PhilosophyOfMind(naiveCynicism)"
] | Unknown |
Justin Kruger propose a philosophy of mind. | [
"Naive cynicism was proposed by Justin Kruger and a colleague.",
"Thomas Gilovich is a colleague of Justin Kruger. ",
"Naive cynicism is a philosophy of mind."
] | [
"Proposed(justinKruger, naiveCynicism) ∧ Proposed(colleagueOfJustinKruger, naiveCynicism) ",
"Colleague(thomasGilovich, justinKruger)",
"PhilosophyOfMind(naiveCynicism)"
] | True |
Thomas Gilovich worked on philiophies of mind. | [
"Naive cynicism was proposed by Justin Kruger and a colleague.",
"Thomas Gilovich is a colleague of Justin Kruger. ",
"Naive cynicism is a philosophy of mind."
] | [
"Proposed(justinKruger, naiveCynicism) ∧ Proposed(colleagueOfJustinKruger, naiveCynicism) ",
"Colleague(thomasGilovich, justinKruger)",
"PhilosophyOfMind(naiveCynicism)"
] | Unknown |
At least two people who have won the Turing Award worked in the field of artificial intelligence. | [
"",
"The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming and John McCarthy. ",
"Donald Knuth made major contributions to the analysis of algorithms.",
"Marvin Minsky is recognized by his contributions to the field of artificial intelligence.",
"Richard Hamming did research on numerical methods.",
"John McCarthy had a central role in creating and shaping the field of artificial inteligence. "
] | [
"",
"TuringAwarded(donaldKnuth) ∧ TuringAwarded(marvinMinsky) ∧ TuringAwarded(richardHamming) ∧ TuringAwarded(johnMccarthy)",
"ContributedTo(donaldKnuth, algorithms)",
"ContributedTo(marvinMinsky, ai)",
"ContributedTo(richardHamming, numericalMethods)",
"ContributedTo(johnMccarthy, ai)"
] | True |
At least two people who worked in the field of artificial intelligence have won the Turing Award. | [
"",
"The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming and John McCarthy. ",
"Donald Knuth made major contributions to the analysis of algorithms.",
"Marvin Minsky is recognized by his contributions to the field of artificial intelligence.",
"Richard Hamming did research on numerical methods.",
"John McCarthy had a central role in creating and shaping the field of artificial inteligence. "
] | [
"",
"TuringAwarded(donaldKnuth) ∧ TuringAwarded(marvinMinsky) ∧ TuringAwarded(richardHamming) ∧ TuringAwarded(johnMccarthy)",
"ContributedTo(donaldKnuth, algorithms)",
"ContributedTo(marvinMinsky, ai)",
"ContributedTo(richardHamming, numericalMethods)",
"ContributedTo(johnMccarthy, ai)"
] | True |
Only one people who have won the Turing Award made significant contributions to the analysis of algorithms. | [
"",
"The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming and John McCarthy. ",
"Donald Knuth made major contributions to the analysis of algorithms.",
"Marvin Minsky is recognized by his contributions to the field of artificial intelligence.",
"Richard Hamming did research on numerical methods.",
"John McCarthy had a central role in creating and shaping the field of artificial inteligence. "
] | [
"",
"TuringAwarded(donaldKnuth) ∧ TuringAwarded(marvinMinsky) ∧ TuringAwarded(richardHamming) ∧ TuringAwarded(johnMccarthy)",
"ContributedTo(donaldKnuth, algorithms)",
"ContributedTo(marvinMinsky, ai)",
"ContributedTo(richardHamming, numericalMethods)",
"ContributedTo(johnMccarthy, ai)"
] | Unknown |
No Turing Award winners worked in the field of numerical methods. | [
"",
"The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming and John McCarthy. ",
"Donald Knuth made major contributions to the analysis of algorithms.",
"Marvin Minsky is recognized by his contributions to the field of artificial intelligence.",
"Richard Hamming did research on numerical methods.",
"John McCarthy had a central role in creating and shaping the field of artificial inteligence. "
] | [
"",
"TuringAwarded(donaldKnuth) ∧ TuringAwarded(marvinMinsky) ∧ TuringAwarded(richardHamming) ∧ TuringAwarded(johnMccarthy)",
"ContributedTo(donaldKnuth, algorithms)",
"ContributedTo(marvinMinsky, ai)",
"ContributedTo(richardHamming, numericalMethods)",
"ContributedTo(johnMccarthy, ai)"
] | False |
2Sum is an easy Leetcode problem. | [
"No easy Leetcode problems have an AC rate lower than 20 percent. ",
"All Leetcode problems recommended to novices are easy. ",
"Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users. ",
"All hard Leetcode problems are starred by more than 1 thousand users. ",
"No Leetcode problems published after 2022 are starred by more than 1 thousand users. ",
"2Sum is not recommended to novices and hard. ",
"4Sum is either starred by more than 1 thousand users and published after 2022, or neither starred by more than 1 thousand users nor published after 2022. "
] | [
"∀x (Easy(x) → ¬LowerAC(x))",
"∀x (Recommended(x) → Easy(x))",
"∀x (LowerAC(x) ⊕ Starred(x))",
"∀x (Hard(x) → Starred(x))",
"∀x (PublishedAfter2022(x) → ¬Starred(x))",
"¬(Recommended(twosum) ∧ Hard(twosum))",
"¬(Starred(foursum) ⊕ PublishedAfter2022(foursum))"
] | Unknown |
2Sum is not an easy Leetcode problem. | [
"No easy Leetcode problems have an AC rate lower than 20 percent. ",
"All Leetcode problems recommended to novices are easy. ",
"Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users. ",
"All hard Leetcode problems are starred by more than 1 thousand users. ",
"No Leetcode problems published after 2022 are starred by more than 1 thousand users. ",
"2Sum is not recommended to novices and hard. ",
"4Sum is either starred by more than 1 thousand users and published after 2022, or neither starred by more than 1 thousand users nor published after 2022. "
] | [
"∀x (Easy(x) → ¬LowerAC(x))",
"∀x (Recommended(x) → Easy(x))",
"∀x (LowerAC(x) ⊕ Starred(x))",
"∀x (Hard(x) → Starred(x))",
"∀x (PublishedAfter2022(x) → ¬Starred(x))",
"¬(Recommended(twosum) ∧ Hard(twosum))",
"¬(Starred(foursum) ⊕ PublishedAfter2022(foursum))"
] | Unknown |
4Sum is a Leetcode problem recommended to the novice or is hard. | [
"No easy Leetcode problems have an AC rate lower than 20 percent. ",
"All Leetcode problems recommended to novices are easy. ",
"Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users. ",
"All hard Leetcode problems are starred by more than 1 thousand users. ",
"No Leetcode problems published after 2022 are starred by more than 1 thousand users. ",
"2Sum is not recommended to novices and hard. ",
"4Sum is either starred by more than 1 thousand users and published after 2022, or neither starred by more than 1 thousand users nor published after 2022. "
] | [
"∀x (Easy(x) → ¬LowerAC(x))",
"∀x (Recommended(x) → Easy(x))",
"∀x (LowerAC(x) ⊕ Starred(x))",
"∀x (Hard(x) → Starred(x))",
"∀x (PublishedAfter2022(x) → ¬Starred(x))",
"¬(Recommended(twosum) ∧ Hard(twosum))",
"¬(Starred(foursum) ⊕ PublishedAfter2022(foursum))"
] | False |
4Sum is neither a 2Sum Leetcode problem recommended to the novice nor a Leetcode problem that's hard. | [
"No easy Leetcode problems have an AC rate lower than 20 percent. ",
"All Leetcode problems recommended to novices are easy. ",
"Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users. ",
"All hard Leetcode problems are starred by more than 1 thousand users. ",
"No Leetcode problems published after 2022 are starred by more than 1 thousand users. ",
"2Sum is not recommended to novices and hard. ",
"4Sum is either starred by more than 1 thousand users and published after 2022, or neither starred by more than 1 thousand users nor published after 2022. "
] | [
"∀x (Easy(x) → ¬LowerAC(x))",
"∀x (Recommended(x) → Easy(x))",
"∀x (LowerAC(x) ⊕ Starred(x))",
"∀x (Hard(x) → Starred(x))",
"∀x (PublishedAfter2022(x) → ¬Starred(x))",
"¬(Recommended(twosum) ∧ Hard(twosum))",
"¬(Starred(foursum) ⊕ PublishedAfter2022(foursum))"
] | True |
Show your love wasn't written by a member of a boy band. | [
"Show Your Love is a song recorded by the South Korean boy band BtoB 4u.",
"The lead single of the extended play Inside is Show Your Love.",
"Show Your Love contains a hopeful message.",
"BtoB 4u member Hyunsik wrote Show Your Love.",
"There is a music video for Show Your Love."
] | [
"Song(showyourlove) ∧ RecordedBy(showyourlove, btob4u) ∧ SouthKorean(btob4u) ∧ BoyBand(btob4u)",
"ExtendedPlay(inside) ∧ LeadSingle(showyourlove) ∧ LeadSingleOf(showyourlove, inside)",
"Contains(showyourlove, hopefulmessage)",
"Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showyourlove)",
"HasMusicVideo(showyourlove)"
] | False |
A lead single of inside contains a a hopeful message. | [
"Show Your Love is a song recorded by the South Korean boy band BtoB 4u.",
"The lead single of the extended play Inside is Show Your Love.",
"Show Your Love contains a hopeful message.",
"BtoB 4u member Hyunsik wrote Show Your Love.",
"There is a music video for Show Your Love."
] | [
"Song(showyourlove) ∧ RecordedBy(showyourlove, btob4u) ∧ SouthKorean(btob4u) ∧ BoyBand(btob4u)",
"ExtendedPlay(inside) ∧ LeadSingle(showyourlove) ∧ LeadSingleOf(showyourlove, inside)",
"Contains(showyourlove, hopefulmessage)",
"Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showyourlove)",
"HasMusicVideo(showyourlove)"
] | True |
Hyunsik is Korean. | [
"Show Your Love is a song recorded by the South Korean boy band BtoB 4u.",
"The lead single of the extended play Inside is Show Your Love.",
"Show Your Love contains a hopeful message.",
"BtoB 4u member Hyunsik wrote Show Your Love.",
"There is a music video for Show Your Love."
] | [
"Song(showyourlove) ∧ RecordedBy(showyourlove, btob4u) ∧ SouthKorean(btob4u) ∧ BoyBand(btob4u)",
"ExtendedPlay(inside) ∧ LeadSingle(showyourlove) ∧ LeadSingleOf(showyourlove, inside)",
"Contains(showyourlove, hopefulmessage)",
"Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showyourlove)",
"HasMusicVideo(showyourlove)"
] | Unknown |
Some furniture are round. | [
"All tables are round.",
"Some furniture are tables."
] | [
"∀x (Table(x) → Round(x))",
"∃x (Furniture(x) ∧ Table(x))"
] | True |
Some maladjusted individuals are products of broken homes. | [
"All juvenile delinquents are maladjusted individuals.",
"Some juvenile delinquents are products of broken homes."
] | [
"∀x (JuvenileDelinquent(x) → MaladjustedIndividual(x))",
"∃x (JuvenileDelinquent(x) ∧ ProductOfBrokenHome(x))"
] | True |
Multivoxel (pattern) analysis is a brain decoding. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | Unknown |
Multivoxel (pattern) analysis is the writing of a novel. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | False |
Multivoxel (pattern) analysis is without statistical pattern analysis and writing a novel. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | False |
Multivoxel (pattern) analysis is without statistical pattern analysis or writing a novel. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | False |
Multivoxel (pattern) analysis is either without statistical pattern analysis or writing a novel. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | False |
If multivoxel (pattern) analysis is writing a novel, then multivoxel (pattern) analysis is neither without statistical pattern analysis nor writing a novel. | [
"Either brain reading or brain decoding. ",
"All brain decoding is extracting information from BOLD signals.",
"No extracting information from BOLD signals is without statistical pattern analysis. ",
"Writing a novel is without statistical pattern analysis.",
"If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding."
] | [
"∀x (BrainReading(x) ∨ BrainDecoding(x)) ",
"∀x (BrainDecoding(x) → ExtractingInformationFromBOLDSignals(x))",
"∀x (ExtractingInformationFromBOLDSignals(x) → ¬WithoutStatisticalPatternAnalysis(x))",
"∀x (WritingANovel(x) → WithoutStatisticalPatternAnalysis(x)) ",
"WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis) → WithoutStatisticalPatternAnalysis(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis)"
] | True |
Allison has room for broccoli. | [
"If you have room for dessert, you have room for broccoli.",
"Everyone at Luis's dinner party has room for dessert, including Luis.",
"Mauricia does not have room for broccoli.",
"Luis's dinner party is the first ever dinner party that Allison has attended.",
"Gustave has room for both broccoli and asparagus.",
"Broccoli and asparagus are both vegetables."
] | [
"∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))",
"∀x (AtLuisParty(x) → RoomFor(x, dessert))",
"¬RoomFor(mauricia, broccoli)",
"FirstDinnerParty(allison, luisparty) ∧ AtLuisParty(allison)",
"RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)",
"Vegetable(broccoli) ∧ Vegetable(asparagus)"
] | True |
Mauricia is at Luis's dinner party. | [
"If you have room for dessert, you have room for broccoli.",
"Everyone at Luis's dinner party has room for dessert, including Luis.",
"Mauricia does not have room for broccoli.",
"Luis's dinner party is the first ever dinner party that Allison has attended.",
"Gustave has room for both broccoli and asparagus.",
"Broccoli and asparagus are both vegetables."
] | [
"∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))",
"∀x (AtLuisParty(x) → RoomFor(x, dessert))",
"¬RoomFor(mauricia, broccoli)",
"FirstDinnerParty(allison, luisparty) ∧ AtLuisParty(allison)",
"RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)",
"Vegetable(broccoli) ∧ Vegetable(asparagus)"
] | False |
Gustav has room for dessert. | [
"If you have room for dessert, you have room for broccoli.",
"Everyone at Luis's dinner party has room for dessert, including Luis.",
"Mauricia does not have room for broccoli.",
"Luis's dinner party is the first ever dinner party that Allison has attended.",
"Gustave has room for both broccoli and asparagus.",
"Broccoli and asparagus are both vegetables."
] | [
"∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))",
"∀x (AtLuisParty(x) → RoomFor(x, dessert))",
"¬RoomFor(mauricia, broccoli)",
"FirstDinnerParty(allison, luisparty) ∧ AtLuisParty(allison)",
"RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)",
"Vegetable(broccoli) ∧ Vegetable(asparagus)"
] | Unknown |
Some rock band has a songwriter. | [
"Imagine Dragons is an American pop rock band.",
"The lead singer of Imagine Dragons is Dan.",
"Dan is also a songwriter.",
"All lead singers are singers.",
"All singers are musicians.",
"Demons is one of the most popular singles of Imagine Dragons.",
"Some singles of Imagine Dragons have been on Billboard Hot 100."
] | [
"American(imagineDragon) ∧ RockBand(imagineDragon)",
"LeadSinger(imagineDragon, dan)",
"SongWriter(dan)",
"∀x ∀y (LeadSinger(x, y) → Singer(y))",
"∀x (Singer(x) → Musician(x))",
"PopularSingle(imagineDragon, demons)",
"∃x (PopularSingle(imagineDragon, x) ∧ BillboardHot100(x))"
] | True |
Dan is not a musician. | [
"Imagine Dragons is an American pop rock band.",
"The lead singer of Imagine Dragons is Dan.",
"Dan is also a songwriter.",
"All lead singers are singers.",
"All singers are musicians.",
"Demons is one of the most popular singles of Imagine Dragons.",
"Some singles of Imagine Dragons have been on Billboard Hot 100."
] | [
"American(imagineDragon) ∧ RockBand(imagineDragon)",
"LeadSinger(imagineDragon, dan)",
"SongWriter(dan)",
"∀x ∀y (LeadSinger(x, y) → Singer(y))",
"∀x (Singer(x) → Musician(x))",
"PopularSingle(imagineDragon, demons)",
"∃x (PopularSingle(imagineDragon, x) ∧ BillboardHot100(x))"
] | False |
Demons has been on Billboard Hot 100. | [
"Imagine Dragons is an American pop rock band.",
"The lead singer of Imagine Dragons is Dan.",
"Dan is also a songwriter.",
"All lead singers are singers.",
"All singers are musicians.",
"Demons is one of the most popular singles of Imagine Dragons.",
"Some singles of Imagine Dragons have been on Billboard Hot 100."
] | [
"American(imagineDragon) ∧ RockBand(imagineDragon)",
"LeadSinger(imagineDragon, dan)",
"SongWriter(dan)",
"∀x ∀y (LeadSinger(x, y) → Singer(y))",
"∀x (Singer(x) → Musician(x))",
"PopularSingle(imagineDragon, demons)",
"∃x (PopularSingle(imagineDragon, x) ∧ BillboardHot100(x))"
] | Unknown |
Deodorant is a sandwich. | [
"All bread is food.",
"Some sandwiches are bread.",
"All food is edible. ",
"No edible things are poisonous.",
"Deodorant is poisonous."
] | [
"∀x (Bread(x) → Food(x))",
"∃x (Sandwich(x) ∧ Bread(x))",
"∀x (Food(x) → Edible(x))",
"∀x (Edible(x) → ¬Poisonous(x))",
"Poisonous(deodorant)"
] | Unknown |
Deodorant is a sandwich and bread. | [
"All bread is food.",
"Some sandwiches are bread.",
"All food is edible. ",
"No edible things are poisonous.",
"Deodorant is poisonous."
] | [
"∀x (Bread(x) → Food(x))",
"∃x (Sandwich(x) ∧ Bread(x))",
"∀x (Food(x) → Edible(x))",
"∀x (Edible(x) → ¬Poisonous(x))",
"Poisonous(deodorant)"
] | False |
If deodorant is a loaf of bread, then deodorant is not a sandwich. | [
"All bread is food.",
"Some sandwiches are bread.",
"All food is edible. ",
"No edible things are poisonous.",
"Deodorant is poisonous."
] | [
"∀x (Bread(x) → Food(x))",
"∃x (Sandwich(x) ∧ Bread(x))",
"∀x (Food(x) → Edible(x))",
"∀x (Edible(x) → ¬Poisonous(x))",
"Poisonous(deodorant)"
] | True |
Noah needs to pay the water bill. | [
"Common utilities include water, electricity, gas, heating, sewer, trash, and recycling.",
"Many apartment rents cover the cost of water and electricity.",
"Susan lives in an apartment where the rent covers all utilities.",
"The rent of the apartment where Ava lives does not cover any utility expenses.",
"Noah lives in an apartment where the rent does not cover heating."
] | [
"CommonUtilities(water) ∧ CommonUtilities(electricity) ∧ CommonUtilities(gas) ∧ CommonUtilities(heating)",
"∃x (Cover(x, water) ∧ Cover(x, electricity))",
"∀x (Cover(susan, x))",
"∀x (¬Cover(ava, x))",
"¬Cover(noah, heating)"
] | Unknown |
Noah and Ava both need to pay the heating bill. | [
"Common utilities include water, electricity, gas, heating, sewer, trash, and recycling.",
"Many apartment rents cover the cost of water and electricity.",
"Susan lives in an apartment where the rent covers all utilities.",
"The rent of the apartment where Ava lives does not cover any utility expenses.",
"Noah lives in an apartment where the rent does not cover heating."
] | [
"CommonUtilities(water) ∧ CommonUtilities(electricity) ∧ CommonUtilities(gas) ∧ CommonUtilities(heating)",
"∃x (Cover(x, water) ∧ Cover(x, electricity))",
"∀x (Cover(susan, x))",
"∀x (¬Cover(ava, x))",
"¬Cover(noah, heating)"
] | True |
Susan does not need to pay the water bill. | [
"Common utilities include water, electricity, gas, heating, sewer, trash, and recycling.",
"Many apartment rents cover the cost of water and electricity.",
"Susan lives in an apartment where the rent covers all utilities.",
"The rent of the apartment where Ava lives does not cover any utility expenses.",
"Noah lives in an apartment where the rent does not cover heating."
] | [
"CommonUtilities(water) ∧ CommonUtilities(electricity) ∧ CommonUtilities(gas) ∧ CommonUtilities(heating)",
"∃x (Cover(x, water) ∧ Cover(x, electricity))",
"∀x (Cover(susan, x))",
"∀x (¬Cover(ava, x))",
"¬Cover(noah, heating)"
] | True |
Nike is perfect. | [
"All clothes are products. ",
"No products are perfect. ",
"All dresses are clothes.",
"All skirts are dresses. ",
"If Nike is clothes, then Nike is perfect and a dress."
] | [
"∀x (Clothes(x) → Product(x))",
"∀x (Product(x) → ¬Perfect(x))",
"∀x (Dress(x) → Clothes(x))",
"∀x (Skirt(x) → Dress(x))",
"Clothes(nike) → Perfect(nike) ∧ Dress(nike)"
] | Unknown |
Nike is a skirt. | [
"All clothes are products. ",
"No products are perfect. ",
"All dresses are clothes.",
"All skirts are dresses. ",
"If Nike is clothes, then Nike is perfect and a dress."
] | [
"∀x (Clothes(x) → Product(x))",
"∀x (Product(x) → ¬Perfect(x))",
"∀x (Dress(x) → Clothes(x))",
"∀x (Skirt(x) → Dress(x))",
"Clothes(nike) → Perfect(nike) ∧ Dress(nike)"
] | False |
Nike is not a skirt. | [
"All clothes are products. ",
"No products are perfect. ",
"All dresses are clothes.",
"All skirts are dresses. ",
"If Nike is clothes, then Nike is perfect and a dress."
] | [
"∀x (Clothes(x) → Product(x))",
"∀x (Product(x) → ¬Perfect(x))",
"∀x (Dress(x) → Clothes(x))",
"∀x (Skirt(x) → Dress(x))",
"Clothes(nike) → Perfect(nike) ∧ Dress(nike)"
] | True |
Leo is an animal. | [
"All pets are animals.",
"Pets can be either a dog or a cat.",
"If a person has a pet, they care for that pet. ",
"Dogs and Cats can be naughty. ",
"Pets who are naughty are not liked as much. ",
"Charlie has a naughty pet dog named Leo. "
] | [
"∀x (Pet(x) → Animal(x))",
"∀x (Pet(x) → Dog(x) ⊕ Cat(x))",
"∀x ∀y (HasPet(x) → Cares(x, y))",
"∃x ((Cat(x) ∧ Naughty(x)) ∨ (Dog(x) ∧ Naughty(x)))",
"∀x ∀y (Pet(x) ∧ Naughty(x) → ¬Liked(x, y))",
"HasPet(charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)"
] | True |
Charlie does not like Leo and does not care for Leo. | [
"All pets are animals.",
"Pets can be either a dog or a cat.",
"If a person has a pet, they care for that pet. ",
"Dogs and Cats can be naughty. ",
"Pets who are naughty are not liked as much. ",
"Charlie has a naughty pet dog named Leo. "
] | [
"∀x (Pet(x) → Animal(x))",
"∀x (Pet(x) → Dog(x) ⊕ Cat(x))",
"∀x ∀y (HasPet(x) → Cares(x, y))",
"∃x ((Cat(x) ∧ Naughty(x)) ∨ (Dog(x) ∧ Naughty(x)))",
"∀x ∀y (Pet(x) ∧ Naughty(x) → ¬Liked(x, y))",
"HasPet(charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)"
] | False |
Dogs are always not naughty. | [
"All pets are animals.",
"Pets can be either a dog or a cat.",
"If a person has a pet, they care for that pet. ",
"Dogs and Cats can be naughty. ",
"Pets who are naughty are not liked as much. ",
"Charlie has a naughty pet dog named Leo. "
] | [
"∀x (Pet(x) → Animal(x))",
"∀x (Pet(x) → Dog(x) ⊕ Cat(x))",
"∀x ∀y (HasPet(x) → Cares(x, y))",
"∃x ((Cat(x) ∧ Naughty(x)) ∨ (Dog(x) ∧ Naughty(x)))",
"∀x ∀y (Pet(x) ∧ Naughty(x) → ¬Liked(x, y))",
"HasPet(charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)"
] | False |
All scares are fun. | [
"Surprises are either fun or dreadful.",
"All scares are surprises."
] | [
"∀x (Surprise(x) → (Fun(x) ⊕ Dreadful(x)))",
"∀x (Scare(x) → Surprise(x))"
] | Unknown |
The Three Body Problem won the Hugo Award. | [
"All books written by Cixin Liu have sold more than 1 million copies. ",
"Some books that have won the Hugo Award were written by Cixin Liu.",
"All books about the future are influenced by Isaac Asimov.",
"The book the Three Body Problem has sold more than 1 million copies.",
"The Three Body Problem is about the future."
] | [
"∀x (Book(x) ∧ WrittenBy(x, cixinliu) → SoldMoreThan(x, onemillion))",
"∃x (Won(x, hugoaward) ∧ Book(x) ∧ WrittenBy(x, cixinliu))",
"∀x (Book(x) ∧ AboutFuture(x) → InfluencedBy(x, isaacasimov))",
"Book(threebodyproblem) ∧ SoldMoreThan(threebodyproblem, onemillion)",
"AboutFuture(threebodyproblem)"
] | Unknown |
The Three Body Problem was influenced by Isaac Asimov. | [
"All books written by Cixin Liu have sold more than 1 million copies. ",
"Some books that have won the Hugo Award were written by Cixin Liu.",
"All books about the future are influenced by Isaac Asimov.",
"The book the Three Body Problem has sold more than 1 million copies.",
"The Three Body Problem is about the future."
] | [
"∀x (Book(x) ∧ WrittenBy(x, cixinliu) → SoldMoreThan(x, onemillion))",
"∃x (Won(x, hugoaward) ∧ Book(x) ∧ WrittenBy(x, cixinliu))",
"∀x (Book(x) ∧ AboutFuture(x) → InfluencedBy(x, isaacasimov))",
"Book(threebodyproblem) ∧ SoldMoreThan(threebodyproblem, onemillion)",
"AboutFuture(threebodyproblem)"
] | True |
The Three Body Problem was written by Cixin Liu. | [
"All books written by Cixin Liu have sold more than 1 million copies. ",
"Some books that have won the Hugo Award were written by Cixin Liu.",
"All books about the future are influenced by Isaac Asimov.",
"The book the Three Body Problem has sold more than 1 million copies.",
"The Three Body Problem is about the future."
] | [
"∀x (Book(x) ∧ WrittenBy(x, cixinliu) → SoldMoreThan(x, onemillion))",
"∃x (Won(x, hugoaward) ∧ Book(x) ∧ WrittenBy(x, cixinliu))",
"∀x (Book(x) ∧ AboutFuture(x) → InfluencedBy(x, isaacasimov))",
"Book(threebodyproblem) ∧ SoldMoreThan(threebodyproblem, onemillion)",
"AboutFuture(threebodyproblem)"
] | Unknown |
James majors in computer science. | [
"Some students who major in computer science get up early. ",
"If a student gets up early, then he/she will study in the morning. ",
"All students studying in the morning are good at time management. ",
"All students good at time management are popular among students. ",
"James is not popular among students. "
] | [
"∃x (ComputerScience(x) ∧ GetUpEarly(x))",
"∀x (GetUpEarly(x) → StudyMorning(x))",
"∀x (StudyMorning(x) → GoodAtTimeManagement(x))",
"∀x (GoodAtTimeManagement(x) → Popular(x))",
"¬Popular(james)"
] | Unknown |
James majors in computer science and gets up early. | [
"Some students who major in computer science get up early. ",
"If a student gets up early, then he/she will study in the morning. ",
"All students studying in the morning are good at time management. ",
"All students good at time management are popular among students. ",
"James is not popular among students. "
] | [
"∃x (ComputerScience(x) ∧ GetUpEarly(x))",
"∀x (GetUpEarly(x) → StudyMorning(x))",
"∀x (StudyMorning(x) → GoodAtTimeManagement(x))",
"∀x (GoodAtTimeManagement(x) → Popular(x))",
"¬Popular(james)"
] | False |
If James gets up early, then he majors in computer science. | [
"Some students who major in computer science get up early. ",
"If a student gets up early, then he/she will study in the morning. ",
"All students studying in the morning are good at time management. ",
"All students good at time management are popular among students. ",
"James is not popular among students. "
] | [
"∃x (ComputerScience(x) ∧ GetUpEarly(x))",
"∀x (GetUpEarly(x) → StudyMorning(x))",
"∀x (StudyMorning(x) → GoodAtTimeManagement(x))",
"∀x (GoodAtTimeManagement(x) → Popular(x))",
"¬Popular(james)"
] | True |
Something went wrong. | [
"There is no dog on the roof.",
"If there is a dog on the roof something went wrong."
] | [
"¬(∃x (Dog(x) ∧ OnRoof(x)))",
"∀x ∃y ((Dog(x) ∧ OnRoof(x)) → WentWrong(y))"
] | Unknown |
Elephantopus is widespread over much of Australia and Southern Asia. | [
"Elephantopus is a genus of perennial plants in the daisy family.",
"Elephantopus is widespread over much of Africa, southern Asia, Australia, and the Americas.",
"Several species of Elephantopus are native to the southeastern United States.",
"Elephantopus scaber is a traditional medicine."
] | [
"∀x (Elephantopus(x) → Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))",
"∀x (Elephantopus(x) → WidespreadOver(x, africa) ∧ WidespreadOver(x, southernasia) ∧ WidespreadOver(x, australia) ∧ WidespreadOver(x, americas))",
"∃x (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates))",
"∀x (ElephantopusScaber(x) → TraditionalMedicine(x))"
] | True |
No Elephantopus is native to the southeastern United States. | [
"Elephantopus is a genus of perennial plants in the daisy family.",
"Elephantopus is widespread over much of Africa, southern Asia, Australia, and the Americas.",
"Several species of Elephantopus are native to the southeastern United States.",
"Elephantopus scaber is a traditional medicine."
] | [
"∀x (Elephantopus(x) → Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))",
"∀x (Elephantopus(x) → WidespreadOver(x, africa) ∧ WidespreadOver(x, southernasia) ∧ WidespreadOver(x, australia) ∧ WidespreadOver(x, americas))",
"∃x (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates))",
"∀x (ElephantopusScaber(x) → TraditionalMedicine(x))"
] | False |
Elephantopus is a traditional medicine. | [
"Elephantopus is a genus of perennial plants in the daisy family.",
"Elephantopus is widespread over much of Africa, southern Asia, Australia, and the Americas.",
"Several species of Elephantopus are native to the southeastern United States.",
"Elephantopus scaber is a traditional medicine."
] | [
"∀x (Elephantopus(x) → Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))",
"∀x (Elephantopus(x) → WidespreadOver(x, africa) ∧ WidespreadOver(x, southernasia) ∧ WidespreadOver(x, australia) ∧ WidespreadOver(x, americas))",
"∃x (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates))",
"∀x (ElephantopusScaber(x) → TraditionalMedicine(x))"
] | Unknown |
Harkness is a Yale dormitory. | [
"All Yale dormitories are located on York Street. ",
"All buildings managed by Yale Housing are dormitories. ",
"All buildings operated by Yale Housing staff are managed by Yale Housing. ",
"No buildings open to students are established after 1800. ",
"All buildings located on York Street are open to students. ",
"Harkness is either a building operated by Yale Housing staff or located on York Street. "
] | [
"∀x (YaleDormitory(x) → InYorkStreet(x))",
"∀x (ManagedByYaleHousing(x) → YaleDormitory(x))",
"∀x (OperatedByYaleHousingStaffs(x) → ManagedByYaleHousing(x))",
"∀x (OpenToStudents(x) → ¬EstablishedAfter1800(x))",
"∀x (InYorkStreet(x) → OpenToStudents(x))",
"OperatedByYaleHousingStaffs(harkness) ⊕ InYorkStreet(harkness)"
] | Unknown |
Harkness is not a Yale dormitory. | [
"All Yale dormitories are located on York Street. ",
"All buildings managed by Yale Housing are dormitories. ",
"All buildings operated by Yale Housing staff are managed by Yale Housing. ",
"No buildings open to students are established after 1800. ",
"All buildings located on York Street are open to students. ",
"Harkness is either a building operated by Yale Housing staff or located on York Street. "
] | [
"∀x (YaleDormitory(x) → InYorkStreet(x))",
"∀x (ManagedByYaleHousing(x) → YaleDormitory(x))",
"∀x (OperatedByYaleHousingStaffs(x) → ManagedByYaleHousing(x))",
"∀x (OpenToStudents(x) → ¬EstablishedAfter1800(x))",
"∀x (InYorkStreet(x) → OpenToStudents(x))",
"OperatedByYaleHousingStaffs(harkness) ⊕ InYorkStreet(harkness)"
] | Unknown |
Harkness is established after 1800. | [
"All Yale dormitories are located on York Street. ",
"All buildings managed by Yale Housing are dormitories. ",
"All buildings operated by Yale Housing staff are managed by Yale Housing. ",
"No buildings open to students are established after 1800. ",
"All buildings located on York Street are open to students. ",
"Harkness is either a building operated by Yale Housing staff or located on York Street. "
] | [
"∀x (YaleDormitory(x) → InYorkStreet(x))",
"∀x (ManagedByYaleHousing(x) → YaleDormitory(x))",
"∀x (OperatedByYaleHousingStaffs(x) → ManagedByYaleHousing(x))",
"∀x (OpenToStudents(x) → ¬EstablishedAfter1800(x))",
"∀x (InYorkStreet(x) → OpenToStudents(x))",
"OperatedByYaleHousingStaffs(harkness) ⊕ InYorkStreet(harkness)"
] | False |
Harkness is established before 1800. | [
"All Yale dormitories are located on York Street. ",
"All buildings managed by Yale Housing are dormitories. ",
"All buildings operated by Yale Housing staff are managed by Yale Housing. ",
"No buildings open to students are established after 1800. ",
"All buildings located on York Street are open to students. ",
"Harkness is either a building operated by Yale Housing staff or located on York Street. "
] | [
"∀x (YaleDormitory(x) → InYorkStreet(x))",
"∀x (ManagedByYaleHousing(x) → YaleDormitory(x))",
"∀x (OperatedByYaleHousingStaffs(x) → ManagedByYaleHousing(x))",
"∀x (OpenToStudents(x) → ¬EstablishedAfter1800(x))",
"∀x (InYorkStreet(x) → OpenToStudents(x))",
"OperatedByYaleHousingStaffs(harkness) ⊕ InYorkStreet(harkness)"
] | True |
The Scream is a skyscraper. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
The Scream is not a skyscraper. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | True |
The Scream is a terrifying Halloween scare. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | Unknown |
The Scream is either a skyscraper or a mansion house. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | True |
The Scream is either a skyscraper or an urban area. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
The Scream is either a skyscraper or a creepy haunted house. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | True |
If The Scream is not a mansion in an urban area, then it is either a skyscraper or an urban area. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
If The Scream is either a skyscraper or a mansion house, then it is in an urban area. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
If The Scream is either a skyscraper or a mansion house, then it is neither a creepy haunted house nor a terrifying Halloween scare. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
If The Scream is either a skyscraper or a creepy haunted house, then it is not a mansion house. | [
"There are no mansion houses in an urban area.",
"All skyscrapers reside in urban areas.",
"Every creepy haunted house is in a mansion house.",
"Every terrifying Halloween scare comes from a creepy haunted house.",
"The Scream is a creepy haunted house or a terrifying Halloween scare."
] | [
"∀x (UrbanArea(x) → ¬MansionHouse(x))",
"∀x (Skyscraper(x) → UrbanArea(x))",
"∀x (CreepyHauntedHouse(x) → MansionHouse(x))",
"∀x (TerrifyingHalloweenScare(x) → CreepyHauntedHouse(x))",
"CreepyHauntedHouse(thescream) ∨ TerrifyingHalloweenScare(thescream)"
] | False |
There is a nature reserve in Vietnam. | [
"Phuoc Binh national park is a national park in Vietnam. ",
"Any national park in Vietnam is classified as a nature reserve. ",
"There is a national park in Vietnam classified as a UNESCO World Heritage Site.",
"All national parks in Vietnam are either managed by the Ministry of Agriculture or by the People's Committee. ",
"Phuoc Binh is not managed by the Ministry of Agriculture."
] | [
"NationalPark(phuocBinh) ∧ Locatedin(phuocBinh, vietnam)",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → NatureReserve(x))",
"∃x (NationalPark(x) ∧ Locatedin(x, vietnam) ∧ UNESCOWorldHeritageSite(x))",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → Mangedby(x, ministryofAgriculture) ∨ Mangedby(x, peoplesCommittee))",
"¬Mangedby(phuocBinh, ministryofAgriculture)"
] | True |
Phuoc Binh is a UNESCO Heritage Site. | [
"Phuoc Binh national park is a national park in Vietnam. ",
"Any national park in Vietnam is classified as a nature reserve. ",
"There is a national park in Vietnam classified as a UNESCO World Heritage Site.",
"All national parks in Vietnam are either managed by the Ministry of Agriculture or by the People's Committee. ",
"Phuoc Binh is not managed by the Ministry of Agriculture."
] | [
"NationalPark(phuocBinh) ∧ Locatedin(phuocBinh, vietnam)",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → NatureReserve(x))",
"∃x (NationalPark(x) ∧ Locatedin(x, vietnam) ∧ UNESCOWorldHeritageSite(x))",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → Mangedby(x, ministryofAgriculture) ∨ Mangedby(x, peoplesCommittee))",
"¬Mangedby(phuocBinh, ministryofAgriculture)"
] | Unknown |
Phuoc Binh is managed by the People's Committee. | [
"Phuoc Binh national park is a national park in Vietnam. ",
"Any national park in Vietnam is classified as a nature reserve. ",
"There is a national park in Vietnam classified as a UNESCO World Heritage Site.",
"All national parks in Vietnam are either managed by the Ministry of Agriculture or by the People's Committee. ",
"Phuoc Binh is not managed by the Ministry of Agriculture."
] | [
"NationalPark(phuocBinh) ∧ Locatedin(phuocBinh, vietnam)",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → NatureReserve(x))",
"∃x (NationalPark(x) ∧ Locatedin(x, vietnam) ∧ UNESCOWorldHeritageSite(x))",
"∀x (NationalPark(x) ∧ Locatedin(x, vietnam) → Mangedby(x, ministryofAgriculture) ∨ Mangedby(x, peoplesCommittee))",
"¬Mangedby(phuocBinh, ministryofAgriculture)"
] | True |
No coursing is banned. | [
"Greyhound racing is a competitive sport where spectators bet on greyhounds.",
"Coursing is a part of Greyhound racing.",
"Some competitive sports where spectators bet on things are banned.",
"Coursing involves spectators betting on a hare being pursued by greyhounds.",
"Hares are small game.",
"If a competitive sport involves spectators betting on small game, then it is banned."
] | [
"∀x ∃y (GreyhoundRacing(x) → CompetitiveSport(x) ∧ Greyhound(y) ∧ SpectatorsBetOn(x, y))",
"∀x (GreyhoundRacing(x) ↔ Coursing(x))",
"∃x ∃y (CompetitiveSport(x) ∧ SpectaorsBetOn(x, y) ∧ Banned(x))",
"∀x ∃y ∃z (Coursing(x) → Hare(y) ∧ SpectatorsBetOn(x, y) ∧ GreyHound(z) ∧ Pursue(z, y))",
"∀x (Hare(x) → SmallGame(x))",
"∀x ∃y (CompetitiveSport(x) ∧ SmallGame(y) ∧ SpectatorsBetOn(x, y) → Banned(x))"
] | False |
Greyhound racing is a competitive sport. | [
"Greyhound racing is a competitive sport where spectators bet on greyhounds.",
"Coursing is a part of Greyhound racing.",
"Some competitive sports where spectators bet on things are banned.",
"Coursing involves spectators betting on a hare being pursued by greyhounds.",
"Hares are small game.",
"If a competitive sport involves spectators betting on small game, then it is banned."
] | [
"∀x ∃y (GreyhoundRacing(x) → CompetitiveSport(x) ∧ Greyhound(y) ∧ SpectatorsBetOn(x, y))",
"∀x (GreyhoundRacing(x) ↔ Coursing(x))",
"∃x ∃y (CompetitiveSport(x) ∧ SpectaorsBetOn(x, y) ∧ Banned(x))",
"∀x ∃y ∃z (Coursing(x) → Hare(y) ∧ SpectatorsBetOn(x, y) ∧ GreyHound(z) ∧ Pursue(z, y))",
"∀x (Hare(x) → SmallGame(x))",
"∀x ∃y (CompetitiveSport(x) ∧ SmallGame(y) ∧ SpectatorsBetOn(x, y) → Banned(x))"
] | True |
Henry will be ejected from the rest of the game. | [
"If a soccer player receives two yellow cards in one game, this player will be ejected from the rest of the game.",
"If a soccer player receives one red card in one game, this player will be ejected from the rest of the game.",
"Henry is a soccer player.",
"In one game, Henry first receives one yellow card, then he receives one red card."
] | [
"∀x (SoccerPlayer(x) ∧ TwoYellow(x) → Eject(x))",
"∀x (SoccerPlayer(x) ∧ OneRed(x) → Eject(x)) ",
"SoccerPlayer(henry)",
"¬TwoYellow(henry) ∧ OneRed(henry)"
] | True |
Henry will not be ejected from the rest of the game. | [
"If a soccer player receives two yellow cards in one game, this player will be ejected from the rest of the game.",
"If a soccer player receives one red card in one game, this player will be ejected from the rest of the game.",
"Henry is a soccer player.",
"In one game, Henry first receives one yellow card, then he receives one red card."
] | [
"∀x (SoccerPlayer(x) ∧ TwoYellow(x) → Eject(x))",
"∀x (SoccerPlayer(x) ∧ OneRed(x) → Eject(x)) ",
"SoccerPlayer(henry)",
"¬TwoYellow(henry) ∧ OneRed(henry)"
] | False |
Some living things are plants. | [
"All trees are plants. ",
"Some living things are trees."
] | [
"∀x (Tree(x) → Plant(x))",
"∃x (Living(x) ∧ Tree(x))"
] | True |
Dagfinn Aarskog is a notable person. | [
"Dagfinn is a given name.",
"Notable people with the given name include Dagfinn Aarskog, Dagfinn Bakke and Dagfinn Dahl. ",
"Dagfinn Aarskog is a Norwegian physician.",
"Dagfinn Dahl is a Norwegian barrister."
] | [
"∀x (Dagfinn(x) → GivenName(x))",
"Dagfinn(dagfinnAarskog) ∧ NotablePeople(dagfinnAarskog) ∧ Dagfinn(dagfinnBakke) ∧ NotablePeople(dagfinnBakke) ∧ Dagfinn(dagfinnDahl) ∧ NotablePeople(dagfinnDahl)",
"Norwegian(dagfinnAarskog) ∧ Physician(dagfinnAarskog)",
"Norwegian(dagfinnDahl) ∧ Barrister(dagfinnDahl)"
] | True |
Dagfinn is Dagfinn Aarskog's given name. | [
"Dagfinn is a given name.",
"Notable people with the given name include Dagfinn Aarskog, Dagfinn Bakke and Dagfinn Dahl. ",
"Dagfinn Aarskog is a Norwegian physician.",
"Dagfinn Dahl is a Norwegian barrister."
] | [
"∀x (Dagfinn(x) → GivenName(x))",
"Dagfinn(dagfinnAarskog) ∧ NotablePeople(dagfinnAarskog) ∧ Dagfinn(dagfinnBakke) ∧ NotablePeople(dagfinnBakke) ∧ Dagfinn(dagfinnDahl) ∧ NotablePeople(dagfinnDahl)",
"Norwegian(dagfinnAarskog) ∧ Physician(dagfinnAarskog)",
"Norwegian(dagfinnDahl) ∧ Barrister(dagfinnDahl)"
] | True |
Dagfinn Dahl is a Norwegian physician. | [
"Dagfinn is a given name.",
"Notable people with the given name include Dagfinn Aarskog, Dagfinn Bakke and Dagfinn Dahl. ",
"Dagfinn Aarskog is a Norwegian physician.",
"Dagfinn Dahl is a Norwegian barrister."
] | [
"∀x (Dagfinn(x) → GivenName(x))",
"Dagfinn(dagfinnAarskog) ∧ NotablePeople(dagfinnAarskog) ∧ Dagfinn(dagfinnBakke) ∧ NotablePeople(dagfinnBakke) ∧ Dagfinn(dagfinnDahl) ∧ NotablePeople(dagfinnDahl)",
"Norwegian(dagfinnAarskog) ∧ Physician(dagfinnAarskog)",
"Norwegian(dagfinnDahl) ∧ Barrister(dagfinnDahl)"
] | Unknown |
If entertainment is interesting, it will be well-known. | [
"If entertainment is interesting, it will be popular.",
"All popular things are well-known."
] | [
"∀x ((Entertainment(x) ∧ Interesting(x)) → Popular(x))",
"∀x (Popular(x) → WellKnown(x))"
] | True |
GPT-3 is popular. | [
"It is not true that some giant language models do not have good performance. ",
"All language models with good performance are used by some researchers.",
"If a language model is used by some researchers, it is popular. ",
"If BERT is a giant language model, then GPT-3 is also a giant language model. ",
"BERT is a giant language model. "
] | [
"¬(∃x (LanguageModel(x) ∧ Giant(x) ∧ ¬GoodPerformance(x)))",
"∀x ((LanguageModel(x) ∧ GoodPerformance(x)) → UsedBySomeResearchers(x))",
"∀x (UsedBySomeResearchers(x) → Popular(x))",
"(LanguageModel(bert) ∧ Giant(bert)) → (LanguageModel(gpt-3) ∧ Giant(gpt-3)).",
"LanguageModel(bert) ∧ Giant(bert) "
] | True |
At least one Scottish team has joined the Scottish Premiership. | [
"St Johnstone is a Scottish team.",
"St Johnstone is part of the Scottish Premiership.",
"If a team is part of the league, it has joined the league.",
"St Johnstone and Minsk are different teams.",
"For two different teams, either one team wins or the other team wins.",
"Minsk won against St Johnstone."
] | [
"Scottish(johnstone)",
"PartOf(johnstone, scottishpremiership)",
"∀x ∀y (PartOf(x, y) → Joined(x, y))",
"Different(misnk, johnstone) ∧ Different(johnstone, minsk)",
"∀x ∀y (Different(x, y) → WonGame(x, y) ⊕ WonGame(y, x))",
"WonGame(minsk, johnstone)"
] | True |
St Johnstone won against Minsk. | [
"St Johnstone is a Scottish team.",
"St Johnstone is part of the Scottish Premiership.",
"If a team is part of the league, it has joined the league.",
"St Johnstone and Minsk are different teams.",
"For two different teams, either one team wins or the other team wins.",
"Minsk won against St Johnstone."
] | [
"Scottish(johnstone)",
"PartOf(johnstone, scottishpremiership)",
"∀x ∀y (PartOf(x, y) → Joined(x, y))",
"Different(misnk, johnstone) ∧ Different(johnstone, minsk)",
"∀x ∀y (Different(x, y) → WonGame(x, y) ⊕ WonGame(y, x))",
"WonGame(minsk, johnstone)"
] | False |
Minsk joined the Scottish Premiership. | [
"St Johnstone is a Scottish team.",
"St Johnstone is part of the Scottish Premiership.",
"If a team is part of the league, it has joined the league.",
"St Johnstone and Minsk are different teams.",
"For two different teams, either one team wins or the other team wins.",
"Minsk won against St Johnstone."
] | [
"Scottish(johnstone)",
"PartOf(johnstone, scottishpremiership)",
"∀x ∀y (PartOf(x, y) → Joined(x, y))",
"Different(misnk, johnstone) ∧ Different(johnstone, minsk)",
"∀x ∀y (Different(x, y) → WonGame(x, y) ⊕ WonGame(y, x))",
"WonGame(minsk, johnstone)"
] | Unknown |
Jake32 was produced before 2010 and is scheduled for a short-distance flight. | [
"No Boeing-737 plane is equipped with more than 300 seats. ",
"All planes in Delta are of type Boeing-737. ",
"Planes are either equipped with more than 300 seats or have a capacity of 100 passengers. ",
"All planes with a capacity of 100 passengers are scheduled for a short-distance flight. ",
"All planes with a capacity of 100 passengers are produced before 2010. ",
"Jake32 is either a Boeing-737 plane or a plane in Delta. ",
"T10 is either a Boeing-737 plane and in Delta, or neither a Boeing-737 plane nor in Delta. "
] | [
"∀x (Boeing737(x) → ¬Seats300(x))",
"∀x (Delta(x) → Boeing737(x))",
"∀x (Seats300(x) ∨ Passengers100(x))",
"∀x (Passengers100(x) → ShortDistance(x))",
"∀x (Passengers100(x) → ProducedBefore2010(x))",
"Boeing737(jake32) ⊕ Delta(jake32) ",
"Boeing737(t10) ⊕ Delta(t10)"
] | True |
Jake32 is not produced before 2010 and is not scheduled for a short-distance flight. | [
"No Boeing-737 plane is equipped with more than 300 seats. ",
"All planes in Delta are of type Boeing-737. ",
"Planes are either equipped with more than 300 seats or have a capacity of 100 passengers. ",
"All planes with a capacity of 100 passengers are scheduled for a short-distance flight. ",
"All planes with a capacity of 100 passengers are produced before 2010. ",
"Jake32 is either a Boeing-737 plane or a plane in Delta. ",
"T10 is either a Boeing-737 plane and in Delta, or neither a Boeing-737 plane nor in Delta. "
] | [
"∀x (Boeing737(x) → ¬Seats300(x))",
"∀x (Delta(x) → Boeing737(x))",
"∀x (Seats300(x) ∨ Passengers100(x))",
"∀x (Passengers100(x) → ShortDistance(x))",
"∀x (Passengers100(x) → ProducedBefore2010(x))",
"Boeing737(jake32) ⊕ Delta(jake32) ",
"Boeing737(t10) ⊕ Delta(t10)"
] | False |
Jake32 is produced before 2010 or scheduled for a short-distance flight. | [
"No Boeing-737 plane is equipped with more than 300 seats. ",
"All planes in Delta are of type Boeing-737. ",
"Planes are either equipped with more than 300 seats or have a capacity of 100 passengers. ",
"All planes with a capacity of 100 passengers are scheduled for a short-distance flight. ",
"All planes with a capacity of 100 passengers are produced before 2010. ",
"Jake32 is either a Boeing-737 plane or a plane in Delta. ",
"T10 is either a Boeing-737 plane and in Delta, or neither a Boeing-737 plane nor in Delta. "
] | [
"∀x (Boeing737(x) → ¬Seats300(x))",
"∀x (Delta(x) → Boeing737(x))",
"∀x (Seats300(x) ∨ Passengers100(x))",
"∀x (Passengers100(x) → ShortDistance(x))",
"∀x (Passengers100(x) → ProducedBefore2010(x))",
"Boeing737(jake32) ⊕ Delta(jake32) ",
"Boeing737(t10) ⊕ Delta(t10)"
] | True |
Jake32 is neither produced before 2010 nor scheduled for a short-distance flight. | [
"No Boeing-737 plane is equipped with more than 300 seats. ",
"All planes in Delta are of type Boeing-737. ",
"Planes are either equipped with more than 300 seats or have a capacity of 100 passengers. ",
"All planes with a capacity of 100 passengers are scheduled for a short-distance flight. ",
"All planes with a capacity of 100 passengers are produced before 2010. ",
"Jake32 is either a Boeing-737 plane or a plane in Delta. ",
"T10 is either a Boeing-737 plane and in Delta, or neither a Boeing-737 plane nor in Delta. "
] | [
"∀x (Boeing737(x) → ¬Seats300(x))",
"∀x (Delta(x) → Boeing737(x))",
"∀x (Seats300(x) ∨ Passengers100(x))",
"∀x (Passengers100(x) → ShortDistance(x))",
"∀x (Passengers100(x) → ProducedBefore2010(x))",
"Boeing737(jake32) ⊕ Delta(jake32) ",
"Boeing737(t10) ⊕ Delta(t10)"
] | False |
Since 2016 the SAT has been better aligned with high school curricula. | [
"The SAT test is wholly owned and developed by the College Board.",
"The SAT test is intended to assess student's readiness for college.",
"The SAT was originally designed not to be aligned with high school curricula. ",
"Several adjustments were made for the version of the SAT introduced in 2016 to reflect more closely on what students learn in high school. "
] | [
"Own(sat, collegeBoard) ∧ ¬Own(sat, others)",
"Test(sat, readiness)",
"∀x (Year(x) ∧ Before2016(x) → ¬AlignHighSchool(x)) ",
"∃x (Year(x) ∧ Since2016(x) ∧ AlignHighSchool(x)) "
] | True |
The SAT test is owned by the College Board and multiple other third parties. | [
"The SAT test is wholly owned and developed by the College Board.",
"The SAT test is intended to assess student's readiness for college.",
"The SAT was originally designed not to be aligned with high school curricula. ",
"Several adjustments were made for the version of the SAT introduced in 2016 to reflect more closely on what students learn in high school. "
] | [
"Own(sat, collegeBoard) ∧ ¬Own(sat, others)",
"Test(sat, readiness)",
"∀x (Year(x) ∧ Before2016(x) → ¬AlignHighSchool(x)) ",
"∃x (Year(x) ∧ Since2016(x) ∧ AlignHighSchool(x)) "
] | False |
The SAT test assesses student's math skills. | [
"The SAT test is wholly owned and developed by the College Board.",
"The SAT test is intended to assess student's readiness for college.",
"The SAT was originally designed not to be aligned with high school curricula. ",
"Several adjustments were made for the version of the SAT introduced in 2016 to reflect more closely on what students learn in high school. "
] | [
"Own(sat, collegeBoard) ∧ ¬Own(sat, others)",
"Test(sat, readiness)",
"∀x (Year(x) ∧ Before2016(x) → ¬AlignHighSchool(x)) ",
"∃x (Year(x) ∧ Since2016(x) ∧ AlignHighSchool(x)) "
] | Unknown |