story_id,Premises - NL,Conclusions - NL,Truth Values,Premises - FOL,Conclusions - FOL,Proofs 423,"Everyone at the business conference is either an investor or an entrepreneur. None of those at the business conference who enjoy the opportunity of starting a business prefer a planned economy. All entrepreneurs at the business conference enjoy the opportunity of starting a business. Everyone at the business conference who enjoys state ownership of means of production prefers a planned economy. Everyone at the business conference who is an ardent communist prefers state ownership of the means of production. Ho is at the business conference and prefers state ownership of the means of production. ","Ho is not an ardent communist. Ho is an investor or is not an ardent communist.","U T","∀x (At(x, businessConference) → (Investor(x) ⊕ Entrepreneur(x))) ∀x ((At(x, businessConference) ∧ Enjoy(x, opportunityOfStartingOwnBusiness)) → ¬Prefer(x, plannedEconomy)) ∀x ((At(x, businessConference) ∧ Entrepreneur(x)) → Enjoy(x, opportunityOfStartingOwnBusiness)) ∀x ((At(x, businessConference) ∧ Enjoy(x, stateOwnershipOfMeansOfProduction)) → Prefer(x, plannedEconomy)) ∀x ((At(x, businessConference) ∧ ArdentCommunist(x)) → Prefer(x, stateOwnershipOfMeansOfProduction)) At(ho, businessConference) ∧ Prefer(ho, stateOwnershipOfMeansOfProduction)","¬ArdentCommunist(ho) Investor(ho) ∨ (¬ArdentCommunist(ho))","['Not found', 'Not found']" 405,"Everyone who works in the office is a commuter. People either work in the office or work from home. Everyone who works from home has a relaxed schedule. George is either a commuter or has a home office setup. If George is either a person who works from home or has a home office setup, then George is a commuter and is not a person who works from home.","George is a person who works from home. If George is not a person who works from home and a person who works in the office, then George is neither a commuter nor a person who has a relaxed schedule. If George is either a person who has a home office setup and a person who works in the office, or neither a person who has a home office setup nor a person who works in the office, then George is either a person who works from home or a person who has a relaxed schedule.","U F T","∀x (WorkIn(x, office) → Commuter(x)) ∀x (WorkIn(x, office) ⊕ WorkFrom(x, home)) ∀x (WorkFrom(x, home) → Have(x, relaxedSchedule)) Commuter(george) ⊕ Have(george, homeOffice) (WorkFrom(george, home) ⊕ Have(george, homeOffice)) → ¬WorkFrom(george, home) ∧ Commuter(george)","WorkFrom(george, home) ¬(WorkFrom(george, home) ∧ WorkIn(george, office)) → ¬(Commuter(george) ∨ Have(george, relaxedSchedule)) ¬(Have(george, homeOffice) ⊕ WorkIn(george, office)) → (WorkFrom(george, home) ⊕ Have(george, relaxedSchedule))","['Not found', 'Not(Implies(Not(And(WorkFrom(george,home),WorkIn(george,office))),Not(Or(Commuter(george),Have(george,relaxedSchedule)))))\n├── Or(Commuter(george),Have(george,relaxedSchedule))\n│ ├── Or(Commuter(george),Have(george,homeOffice))\n│ └── Or(Have(george,relaxedSchedule),Not(Have(george,homeOffice)))\n│ ├── Or(Have($x19,relaxedSchedule),Not(WorkFrom($x19,home)))\n│ └── Or(Not(Have(george,homeOffice)),WorkFrom(george,home))\n│ ├── Or(Not(Have(george,homeOffice)),Not(WorkIn(george,office)))\n│ │ ├── Or(Commuter($x13),Not(WorkIn($x13,office)))\n│ │ └── Or(Not(Commuter(george)),Not(Have(george,homeOffice)))\n│ └── Or(WorkFrom($x16,home),WorkIn($x16,office))\n└── Or(Not(WorkFrom(george,home)),Not(WorkIn(george,office)))\n ├── Or(Commuter($x13),Not(WorkIn($x13,office)))\n └── Or(Not(Commuter(george)),Not(WorkFrom(george,home)))\n ├── Or(Not(Commuter(george)),WorkIn(george,office))\n │ ├── Or(Have(george,homeOffice),WorkIn(george,office))\n │ │ ├── Or(Have(george,homeOffice),Not(WorkFrom(george,home)))\n │ │ └── Or(WorkFrom($x16,home),WorkIn($x16,office))\n │ └── Or(Not(Commuter(george)),Not(Have(george,homeOffice)))\n └── Or(Not(WorkFrom($x16,home)),Not(WorkIn($x16,office)))\n', 'Implies(Not(And(Or(Have(george,homeOffice),WorkIn(george,office)),Not(And(Have(george,homeOffice),WorkIn(george,office))))),And(Or(WorkFrom(george,home),Have(george,relaxedSchedule)),Not(And(WorkFrom(george,home),Have(george,relaxedSchedule)))))\n├── Or(Or(Or(Have(george,homeOffice),Have(george,relaxedSchedule)),WorkFrom(george,home)),WorkIn(george,office))\n│ └── Or(WorkFrom($x16,home),WorkIn($x16,office))\n├── Or(Or(Or(Have(george,homeOffice),Not(Have(george,relaxedSchedule))),Not(WorkFrom(george,home))),WorkIn(george,office))\n│ └── Or(Have(george,homeOffice),Not(WorkFrom(george,home)))\n├── Or(Or(Or(Have(george,relaxedSchedule),Not(Have(george,homeOffice))),Not(WorkIn(george,office))),WorkFrom(george,home))\n│ └── Or(Not(Have(george,homeOffice)),Not(WorkIn(george,office)))\n│ ├── Or(Commuter($x13),Not(WorkIn($x13,office)))\n│ └── Or(Not(Commuter(george)),Not(Have(george,homeOffice)))\n└── Or(Or(Or(Not(Have(george,homeOffice)),Not(Have(george,relaxedSchedule))),Not(WorkFrom(george,home))),Not(WorkIn(george,office)))\n └── Or(Not(WorkFrom($x16,home)),Not(WorkIn($x16,office)))\n']" 406,"All people who regularly drink coffee are dependent on caffeine. People regularly drink coffee, or they don't want to be addicted to caffeine, or both. No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug. Rina is either a student who is unaware that caffeine is a drug, or she is not a student and is she aware that caffeine is a drug. Rina is either a student who is dependent on caffeine, or she is not a student and not dependent on caffeine.","Rina doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. Rina eith doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. Rina either regularly drinks coffee or is unaware that caffeine is a drug. If Rina either doesn't want to be addicted to caffeine and is unaware that caffeine is a drug, or neither doesn't want to be addicted to caffeine nor is unaware that caffeine is a drug, then Rina doesn't want to be addicted to caffeine and regularly drinks coffee.","T T F T","∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine)) ∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine))) ∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine)) ¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine)) ¬(IsDependentOn(rina, caffeine) ⊕ Student(rina))","¬WantToBeAddictedTo(rina, caffeine) ∨ (¬AwareThatDrug(rina, caffeine)) ¬WantToBeAddictedTo(rina, caffeine) ⊕ ¬AwareThatDrug(rina, caffeine) DrinkRegularly(rina, coffee) ⊕ IsUnawareThatCaffeineIsADrug(rina) (DoNotWantToBeAddictedToCaffeine(rina) ⊕ ¬AwareThatDrug(rina, caffeine)) → ¬(¬WantToBeAddictedTo(rina, caffeine) ∧ DrinkRegularly(rina, coffee))","['Or(Not(AwareThatDrug(rina,caffeine)),Not(WantToBeAddictedTo(rina,caffeine)))\n├── Or(Not(AwareThatDrug(rina,caffeine)),Not(Student(rina)))\n└── Or(Not(WantToBeAddictedTo(rina,caffeine)),Student(rina))\n ├── Or(DrinkRegularly($x16,coffee),Not(WantToBeAddictedTo($x16,caffeine)))\n └── Or(Not(DrinkRegularly(rina,coffee)),Student(rina))\n ├── Or(IsDependentOn($x13,caffeine),Not(DrinkRegularly($x13,coffee)))\n └── Or(Not(IsDependentOn(rina,caffeine)),Student(rina))\n', 'Not found', 'Not found', 'Not found']" 319,"No baked sweets are spicy. All cupcakes are baked sweets. All mala hotpots are spicy. All products from Baked by Melissa are cupcakes. Dried Thai chilies are spicy or mala hotpots or not baked sweets.","Dried Thai chilies are products of Baked by Melissa. Dried Thai chilies are not products of Baked by Melissa. Dried Thai chilies are a mala hotpot. Dried Thai chilies are neither products of Baked by Melissa nor baked sweets. Dried Thai chilies are cupcakes and products of Baked by Melissa.","F T U T F","∀x (BakedSweet(x) → ¬Spicy(x)) ∀x (Cupcake(x) → BakedSweet(x)) ∀x (MalaHotpot(x) → Spicy(x)) ∀x (Product(x) ∧ From(x, bakedByMelissa) → Cupcake(x)) Spicy(driedThaiChili) ∨ MalaHotpot(driedThaiChili)∨ ¬BakedSweet(driedThaiChili)","Product(driedThaiChili) ∧ From(driedThaiChili, bakedByMelissa) ¬(Product(driedThaiChili) ∧ From(driedThaiChili, bakedByMelissa)) MalaHotpot(driedThaiChili) ¬(Product(driedThaiChili) ∧ From(driedThaiChili, bakedByMelissa)) ∧ ¬BakedSweet(driedThaiChili) Cupcake(driedThaiChili) ∧ Product(driedThaiChili) ∧ From(driedThaiChili, bakedByMelissa)","['Or(Not(From(driedThaiChili,bakedByMelissa)),Not(Product(driedThaiChili)))\n├── Not(Cupcake(driedThaiChili))\n│ ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n│ └── Or(Not(BakedSweet(driedThaiChili)),Not(Cupcake(driedThaiChili)))\n│ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n│ └── Or(Not(Cupcake(driedThaiChili)),Spicy(driedThaiChili))\n│ ├── Or(MalaHotpot(driedThaiChili),Not(Cupcake(driedThaiChili)))\n│ │ ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n│ │ └── Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili)))\n│ │ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n│ │ └── Or(Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili))),Spicy(driedThaiChili))\n│ └── Or(Not(MalaHotpot($x19)),Spicy($x19))\n└── Or(Or(Cupcake($x112),Not(From($x112,bakedByMelissa))),Not(Product($x112)))\n', 'Or(Not(From(driedThaiChili,bakedByMelissa)),Not(Product(driedThaiChili)))\n├── Not(Cupcake(driedThaiChili))\n│ ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n│ └── Or(Not(BakedSweet(driedThaiChili)),Not(Cupcake(driedThaiChili)))\n│ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n│ └── Or(Not(Cupcake(driedThaiChili)),Spicy(driedThaiChili))\n│ ├── Or(MalaHotpot(driedThaiChili),Not(Cupcake(driedThaiChili)))\n│ │ ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n│ │ └── Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili)))\n│ │ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n│ │ └── Or(Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili))),Spicy(driedThaiChili))\n│ └── Or(Not(MalaHotpot($x19)),Spicy($x19))\n└── Or(Or(Cupcake($x112),Not(From($x112,bakedByMelissa))),Not(Product($x112)))\n', 'Not found', 'Or(Or(BakedSweet(driedThaiChili),Not(From(driedThaiChili,bakedByMelissa))),Not(Product(driedThaiChili)))\n└── Or(Or(BakedSweet($x112),Not(From($x112,bakedByMelissa))),Not(Product($x112)))\n ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n └── Or(Or(Cupcake($x112),Not(From($x112,bakedByMelissa))),Not(Product($x112)))\n', 'Or(Or(Not(Cupcake(driedThaiChili)),Not(From(driedThaiChili,bakedByMelissa))),Not(Product(driedThaiChili)))\n├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n└── Or(Or(Not(BakedSweet(driedThaiChili)),Not(From(driedThaiChili,bakedByMelissa))),Not(Product(driedThaiChili)))\n ├── Or(Not(BakedSweet(driedThaiChili)),Not(Cupcake(driedThaiChili)))\n │ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n │ └── Or(Not(Cupcake(driedThaiChili)),Spicy(driedThaiChili))\n │ ├── Or(MalaHotpot(driedThaiChili),Not(Cupcake(driedThaiChili)))\n │ │ ├── Or(BakedSweet($x16),Not(Cupcake($x16)))\n │ │ └── Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili)))\n │ │ ├── Or(Not(BakedSweet($x13)),Not(Spicy($x13)))\n │ │ └── Or(Or(MalaHotpot(driedThaiChili),Not(BakedSweet(driedThaiChili))),Spicy(driedThaiChili))\n │ └── Or(Not(MalaHotpot($x19)),Spicy($x19))\n └── Or(Or(Cupcake($x112),Not(From($x112,bakedByMelissa))),Not(Product($x112)))\n']" 354,"People either believe in Santa Claus, or think he is made up. People who believe in Santa Claus expect to get presents on Christmas morning. People who think Santa Claus is made up, then they would be surprised to see him in their house. People who expect presents on Christmas morning are excited for it to be Christmas. If people would be surprised to see Santa Claus in their house, then they don't leave out cookies on Chrismtas Eve. Mercy is not someone who expects presents Christmas morning, is excited for Chrismtas, and believes in Santa Claus.","Marcy either believes in Santa Claus or doesn't leave cookies out on Christmas Eve. Marcy is not someone who both leaves out cookies on Chrismtas eve and thinks Santa Claus is made up, or Marcy believes in Santa Claus.","T F","∀x (BelieveIn(x, santaClaus) ⊕ ThinkMadeUp(x, santaClaus)) ∀x (BelieveIn(x, santaClaus) → Expect(x, present, christmasMorning)) ∀x (ThinkMadeUp(x, santaClaus) → WouldBeSurprisedToSeeIn(x, santaClaus, house)) ∀x (Expect(x, present, christmasMorning) → ExcitedFor(x, christmas)) ∀x (WouldBeSurprisedToSeeIn(x, santaClaus, house) → ¬LeaveOut(x, cookies)) ¬(Expect(marcy, present, christmasMorning) ∧ ExcitedFor(marcy, christmas) ∧ BelieveIn(marcy, santaClaus))","BelieveIn(marcy, santaClaus) ⊕ LeaveOut(marcy, cookies) ¬(LeaveOut(marcy, cookies) ∧ ThinkMadeUp(marcy, santaClaus)) ∨ BelieveIn(marcy, santaClaus)","['Not(And(Or(BelieveIn(marcy,santaClaus),LeaveOut(marcy,cookies)),Not(And(BelieveIn(marcy,santaClaus),LeaveOut(marcy,cookies)))))\n├── Or(BelieveIn(marcy,santaClaus),Not(LeaveOut(marcy,cookies)))\n│ └── Or(BelieveIn($x19,santaClaus),Not(LeaveOut($x19,cookies)))\n│ ├── Or(BelieveIn($x13,santaClaus),ThinkMadeUp($x13,santaClaus))\n│ └── Or(Not(LeaveOut($x19,cookies)),Not(ThinkMadeUp($x19,santaClaus)))\n│ ├── Or(Not(LeaveOut($x115,cookies)),Not(WouldBeSurprisedToSeeIn($x115,santaClaus,house)))\n│ └── Or(Not(ThinkMadeUp($x19,santaClaus)),WouldBeSurprisedToSeeIn($x19,santaClaus,house))\n└── Or(LeaveOut(marcy,cookies),Not(BelieveIn(marcy,santaClaus)))\n └── Not(BelieveIn(marcy,santaClaus))\n ├── Or(Expect($x16,present,christmasMorning),Not(BelieveIn($x16,santaClaus)))\n └── Or(Not(BelieveIn(marcy,santaClaus)),Not(Expect(marcy,present,christmasMorning)))\n ├── Or(ExcitedFor($x112,christmas),Not(Expect($x112,present,christmasMorning)))\n └── Or(Not(BelieveIn(marcy,santaClaus)),Not(ExcitedFor(marcy,christmas)))\n ├── Or(Not(BelieveIn($x13,santaClaus)),Not(ThinkMadeUp($x13,santaClaus)))\n └── Or(Not(ExcitedFor(marcy,christmas)),ThinkMadeUp(marcy,santaClaus))\n ├── Or(BelieveIn($x13,santaClaus),ThinkMadeUp($x13,santaClaus))\n └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(ExcitedFor(marcy,christmas))),ThinkMadeUp(marcy,santaClaus))\n ├── Or(Expect($x16,present,christmasMorning),Not(BelieveIn($x16,santaClaus)))\n └── Or(Or(Not(ExcitedFor(marcy,christmas)),Not(Expect(marcy,present,christmasMorning))),ThinkMadeUp(marcy,santaClaus))\n ├── Or(BelieveIn($x13,santaClaus),ThinkMadeUp($x13,santaClaus))\n └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(ExcitedFor(marcy,christmas))),Not(Expect(marcy,present,christmasMorning)))\n', 'Not(And(LeaveOut(marcy,cookies),Or(ThinkMadeUp(marcy,santaClaus),BelieveIn(marcy,santaClaus))))\n├── Or(Not(BelieveIn(marcy,santaClaus)),Not(LeaveOut(marcy,cookies)))\n│ ├── Or(Expect($x16,present,christmasMorning),Not(BelieveIn($x16,santaClaus)))\n│ └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(Expect(marcy,present,christmasMorning))),Not(LeaveOut(marcy,cookies)))\n│ ├── Or(Not(LeaveOut($x19,cookies)),Not(ThinkMadeUp($x19,santaClaus)))\n│ │ ├── Or(Not(LeaveOut($x115,cookies)),Not(WouldBeSurprisedToSeeIn($x115,santaClaus,house)))\n│ │ └── Or(Not(ThinkMadeUp($x19,santaClaus)),WouldBeSurprisedToSeeIn($x19,santaClaus,house))\n│ └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(Expect(marcy,present,christmasMorning))),ThinkMadeUp(marcy,santaClaus))\n│ ├── Or(ExcitedFor($x112,christmas),Not(Expect($x112,present,christmasMorning)))\n│ └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(ExcitedFor(marcy,christmas))),ThinkMadeUp(marcy,santaClaus))\n│ ├── Or(Expect($x16,present,christmasMorning),Not(BelieveIn($x16,santaClaus)))\n│ └── Or(Or(Not(ExcitedFor(marcy,christmas)),Not(Expect(marcy,present,christmasMorning))),ThinkMadeUp(marcy,santaClaus))\n│ ├── Or(BelieveIn($x13,santaClaus),ThinkMadeUp($x13,santaClaus))\n│ └── Or(Or(Not(BelieveIn(marcy,santaClaus)),Not(ExcitedFor(marcy,christmas))),Not(Expect(marcy,present,christmasMorning)))\n└── Or(Not(LeaveOut(marcy,cookies)),Not(ThinkMadeUp(marcy,santaClaus)))\n └── Or(Not(LeaveOut($x19,cookies)),Not(ThinkMadeUp($x19,santaClaus)))\n ├── Or(Not(LeaveOut($x115,cookies)),Not(WouldBeSurprisedToSeeIn($x115,santaClaus,house)))\n └── Or(Not(ThinkMadeUp($x19,santaClaus)),WouldBeSurprisedToSeeIn($x19,santaClaus,house))\n']" 343,"No digital media are analog. Every printed text is analog media. All streaming services are digital media. If an object is a hardcover book, then it is printed text. If 1984 is a streaming service, then 1984 is a hardcover book.","1984 is printed text. 1984 is a streaming service. 1984 is not a streaming service.","U F T","∀x (DigitalMedia(x) → ¬AnalogMedia(x)) ∀x (PrintedText(x) → AnalogMedia(x)) ∀x (StreamingService(x) → DigitalMedia(x)) ∀x (HardcoverBook(x) → PrintedText(x)) StreamingService(1984) → HardcoverBook(1984)","PrintedText(y1984) StreamingService(y1984) ¬StreamingService(y1984)","['Not found', 'Not found', 'Not found']" 339,"No professional tennis umpires are professional tennis players. If you are a World Tour player, then you are a professional tennis player. All Grand Slam champions are World Tour players. All Grand Slam umpires are professional tennis umpires. Nadal is a World Tour player or a Grand Slam champion","Nadal is a Grand Slam umpire. Nadal is not a Grand Slam umpire. Nadal is a Grand Slam champion. Nadal is neither a Grand Slam umpire nor a professional tennis umpire. If Nadal is a professional tennis umpire, then Nadal is a Grand Slam Umpire. If Nadal is a Grand Slam umpire or a professional tennis player, then Nadal is a Grand Slam umpire.","F T U T T F","∀x (ProfessionalTennisUmpire(x) → ¬ProfessionalTennisPlayer(x)) ∀x (WorldTourPlayer(x) → ProfessionalTennisPlayer(x)) ∀x (GrandSlamChampion(x) → WorldTourPlayer(x)) ∀x (GrandSlamUmpire(x) → ProfessionalTennisUmpire(x)) WorldTourPlayer(nadal) ∨ GrandSlamChampion(nadal)","GrandSlamUmpire(nadal) ¬GrandSlamUmpire(nadal) GrandSlamChampion(nadal) ¬(GrandSlamUmpire(nadal) ∨ ProfessionalTennisUmpire(nadal)) ProfessionalTennisUmpire(nadal) → GrandSlamUmpire(nadal) GrandSlamUmpire(nadal) ∨ ProfessionalTennisPlayer(nadal) → GrandSlamUmpire(nadal)","['Not(GrandSlamUmpire(nadal))\n├── Not(ProfessionalTennisUmpire(nadal))\n│ ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n│ ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n│ │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n│ │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n│ │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n│ │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n│ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n└── Or(Not(GrandSlamUmpire($x112)),ProfessionalTennisUmpire($x112))\n', 'Not(GrandSlamUmpire(nadal))\n├── Not(ProfessionalTennisUmpire(nadal))\n│ ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n│ ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n│ │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n│ │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n│ │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n│ │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n│ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n└── Or(Not(GrandSlamUmpire($x112)),ProfessionalTennisUmpire($x112))\n', 'Not found', 'Not(Or(GrandSlamUmpire(nadal),ProfessionalTennisUmpire(nadal)))\n├── Not(GrandSlamUmpire(nadal))\n│ ├── Not(ProfessionalTennisUmpire(nadal))\n│ │ ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n│ │ ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n│ │ │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n│ │ │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n│ │ │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n│ │ │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ │ │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n│ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ └── Or(Not(GrandSlamUmpire($x112)),ProfessionalTennisUmpire($x112))\n└── Not(ProfessionalTennisUmpire(nadal))\n ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n', 'Or(GrandSlamUmpire(nadal),Not(ProfessionalTennisUmpire(nadal)))\n└── Not(ProfessionalTennisUmpire(nadal))\n ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n', 'Not(Or(GrandSlamUmpire(nadal),Implies(ProfessionalTennisPlayer(nadal),GrandSlamUmpire(nadal))))\n├── Not(GrandSlamUmpire(nadal))\n│ ├── Not(ProfessionalTennisUmpire(nadal))\n│ │ ├── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ └── Or(Not(ProfessionalTennisUmpire(nadal)),ProfessionalTennisPlayer(nadal))\n│ │ ├── Or(Not(ProfessionalTennisUmpire(nadal)),WorldTourPlayer(nadal))\n│ │ │ ├── Or(GrandSlamChampion(nadal),Not(ProfessionalTennisUmpire(nadal)))\n│ │ │ │ ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n│ │ │ │ │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n│ │ │ │ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ │ │ │ └── Or(Not(ProfessionalTennisPlayer($x13)),Not(ProfessionalTennisUmpire($x13)))\n│ │ │ └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n│ │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n│ └── Or(Not(GrandSlamUmpire($x112)),ProfessionalTennisUmpire($x112))\n└── ProfessionalTennisPlayer(nadal)\n ├── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n └── Or(ProfessionalTennisPlayer(nadal),WorldTourPlayer(nadal))\n ├── Or(GrandSlamChampion(nadal),ProfessionalTennisPlayer(nadal))\n │ ├── Or(GrandSlamChampion(nadal),WorldTourPlayer(nadal))\n │ └── Or(Not(WorldTourPlayer($x16)),ProfessionalTennisPlayer($x16))\n └── Or(Not(GrandSlamChampion($x19)),WorldTourPlayer($x19))\n']" 335,"No shooting gaurds are taller than 7 feet All the top 75 basketball centers are taller than 7 feet. All basketball players playing two positions are shooting guards. All guards not playing the point position are basketball players playing two positions. If John is either a Top 75 basketball center or John is a shooting guard, then John is not both a basketball player playing two positions and a guard not playing the point position.","John is a Top 75 basketball center. John is a guard not playing the point position. John is not a guard not playing the point position.","U F T","∀x (ShootingGuard(x) → ¬TallerThan(x, 7Feet)) ∀x (Top75BasketballCenter(x) → TallerThan(x, 7Feet)) ∀x (Play(x, twoPosition) → ShootingGuard(x)) ∀x (Guard(x) ∧ ¬Play(x, pointPosition) → Play(x, twoPosition)) Top75BasketballCenter(john) ⊕ ShootingGuard(john) → ¬(Guard(john) ∧ ¬Play(john, pointPosition) ∧ Play(john, twoPosition))","Top75BasketballCenter(john) Guard(john) ∧ ¬Play(john, pointPosition) ¬(Guard(john) ∧ ¬Play(john, pointPosition))","['Not found', 'Or(Not(Guard(john)),Play(john,pointPosition))\n├── Or(Or(Not(Guard($x112)),Play($x112,pointPosition)),Play($x112,twoPosition))\n└── Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Play(john,pointPosition))\n ├── Or(Not(Play($x19,twoPosition)),ShootingGuard($x19))\n └── Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition))\n ├── Or(Not(ShootingGuard($x13)),Not(TallerThan($x13,7Feet)))\n └── Or(Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition)),TallerThan(john,7Feet))\n ├── Or(Not(Top75BasketballCenter($x16)),TallerThan($x16,7Feet))\n └── Or(Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition)),Top75BasketballCenter(john))\n', 'Or(Not(Guard(john)),Play(john,pointPosition))\n├── Or(Or(Not(Guard($x112)),Play($x112,pointPosition)),Play($x112,twoPosition))\n└── Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Play(john,pointPosition))\n ├── Or(Not(Play($x19,twoPosition)),ShootingGuard($x19))\n └── Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition))\n ├── Or(Not(ShootingGuard($x13)),Not(TallerThan($x13,7Feet)))\n └── Or(Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition)),TallerThan(john,7Feet))\n ├── Or(Not(Top75BasketballCenter($x16)),TallerThan($x16,7Feet))\n └── Or(Or(Or(Or(Not(Guard(john)),Not(Play(john,twoPosition))),Not(ShootingGuard(john))),Play(john,pointPosition)),Top75BasketballCenter(john))\n']" 448,"Everyone that knows about breath-first-search knows how to use a queue. If someone is a seasoned software engineer interviewer at Google, then they know what breath-first-search is. Someone is either a seasoned software engineer interviewer at Google, has human rights, or both. Every person who has human rights is entitled to the right to life and liberty. Everyone that knows how to use a queue knows about the first-in-first-out data structure. Everyone that is entitled to the right to life and liberty cannot be deprived of their rights without due process of law. Jack is entitled to the right to life and liberty, has human rights, or knows about the first-in-first-out data structure. ","Jack is a seasoned software engineer interviewer. Jack cannot be deprived of their rights without due process of law. Jack can be deprived of their rights without due process of law.","U T F","∀x (Know(x, breathFirstSearch) → Know(x, howToUseQueue)) ∀x (Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google) → Know(x, breathFirstSearch)) ∀x ((Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google)) ∨ Have(x, humanRights)) ∀x (Have(x, humanRights) → EntitledTo(x, rightToLifeAndLiberty)) ∀x (Know(x, howToUseQueue) → Know(x, firstInFirstOutDataStructure)) ∀x (EntitledTo(x, rightToLifeAndLiberty) → ¬DeprivedOfWithout(x, rights, dueProcessOfLaw)) (EntitledTo(jack, rightToLifeAndLiberty) ∨ Have(jack, humanRights) ∨ Know(jack, firstInFirstOutDataStructure))","Seasoned(jack) ∧ SoftwareEngineerInterviewer(jack) ∧ At(jack, google) ¬DeprivedOfWithout(jack, rights, dueProcessOfLaw) DeprivedOfWithout(jack, rights, dueProcessOfLaw)","['Not found', 'Not found', 'Not found']" 469,"All members of the university faculty are professors. All principal investigators are members of the university faculty. No professor is also an undergraduate student. Anyone pursuing a bachelor's degree is an undergraduate student. Leon is not pursuing a bachelor's degree, and he is not a principal investigator. If Leon is not pursuing a bachelor's degree, then he is a professor.","Leon is a member of university faculty. Leon is neither an undergraduate student nor a principal investigator. If leon is not a principal investigator, then Leon is an undergraduate student.","U T F","∀x (MemberOf(x, universityFaculty) → Professor(x)) ∀x (PrincipalInvestigator(x) → MemberOf(x, universityFaculty)) ∀x (Professor(x) → ¬UndergraduateStudent(x)) ∀x (Pursuing(x, bachelor) → UndergraduateStudent(x)) ¬(Pursuing(leon, bachelor) ⊕ PrincipalInvestigator(leon)) ¬Pursuing(leon, bachelor) → Professor(leon)","MemberOf(leon, universityFaculty) ¬UndergraduateStudent(leon) ∧ ¬PrincipalInvestigator(leon) ¬PrincipalInvestigator(leon) → UndergraduateStudent(leon)","['Not found', 'And(Not(UndergraduateStudent(leon)),Not(PrincipalInvestigator(leon)))\n├── Not(PrincipalInvestigator(leon))\n│ ├── Or(MemberOf($x16,universityFaculty),Not(PrincipalInvestigator($x16)))\n│ └── Or(Not(MemberOf(leon,universityFaculty)),Not(PrincipalInvestigator(leon)))\n│ ├── Or(Not(MemberOf($x13,universityFaculty)),Professor($x13))\n│ └── Or(Not(PrincipalInvestigator(leon)),Not(Professor(leon)))\n│ ├── Or(Not(PrincipalInvestigator(leon)),UndergraduateStudent(leon))\n│ │ ├── Or(Not(PrincipalInvestigator(leon)),Pursuing(leon,bachelor))\n│ │ └── Or(Not(Pursuing($x112,bachelor)),UndergraduateStudent($x112))\n│ └── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n└── Not(UndergraduateStudent(leon))\n ├── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n └── Or(Not(UndergraduateStudent(leon)),Professor(leon))\n ├── Or(MemberOf(leon,universityFaculty),Not(UndergraduateStudent(leon)))\n │ ├── Or(MemberOf($x16,universityFaculty),Not(PrincipalInvestigator($x16)))\n │ └── Or(Not(UndergraduateStudent(leon)),PrincipalInvestigator(leon))\n │ ├── Or(Not(Pursuing(leon,bachelor)),PrincipalInvestigator(leon))\n │ └── Or(Not(UndergraduateStudent(leon)),Pursuing(leon,bachelor))\n │ ├── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n │ └── Or(Professor(leon),Pursuing(leon,bachelor))\n └── Or(Not(MemberOf($x13,universityFaculty)),Professor($x13))\n', 'Not(Implies(Not(PrincipalInvestigator(leon)),UndergraduateStudent(leon)))\n├── Not(PrincipalInvestigator(leon))\n│ ├── Or(MemberOf($x16,universityFaculty),Not(PrincipalInvestigator($x16)))\n│ └── Or(Not(MemberOf(leon,universityFaculty)),Not(PrincipalInvestigator(leon)))\n│ ├── Or(Not(MemberOf($x13,universityFaculty)),Professor($x13))\n│ └── Or(Not(PrincipalInvestigator(leon)),Not(Professor(leon)))\n│ ├── Or(Not(PrincipalInvestigator(leon)),UndergraduateStudent(leon))\n│ │ ├── Or(Not(PrincipalInvestigator(leon)),Pursuing(leon,bachelor))\n│ │ └── Or(Not(Pursuing($x112,bachelor)),UndergraduateStudent($x112))\n│ └── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n└── Not(UndergraduateStudent(leon))\n ├── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n └── Or(Not(UndergraduateStudent(leon)),Professor(leon))\n ├── Or(MemberOf(leon,universityFaculty),Not(UndergraduateStudent(leon)))\n │ ├── Or(MemberOf($x16,universityFaculty),Not(PrincipalInvestigator($x16)))\n │ └── Or(Not(UndergraduateStudent(leon)),PrincipalInvestigator(leon))\n │ ├── Or(Not(Pursuing(leon,bachelor)),PrincipalInvestigator(leon))\n │ └── Or(Not(UndergraduateStudent(leon)),Pursuing(leon,bachelor))\n │ ├── Or(Not(Professor($x19)),Not(UndergraduateStudent($x19)))\n │ └── Or(Professor(leon),Pursuing(leon,bachelor))\n └── Or(Not(MemberOf($x13,universityFaculty)),Professor($x13))\n']" 445,"Anything lazy is unproductive. No one unproductive is energetic. If something is a sloth, then it is lazy. Some animals are sloths. Sid is neither an energetic person nor a sloth.","Sid is an animal. Sid is an energetic person and an animal. If Sid is either an animal or unproductive, then Sid is not an energetic person.","U F T","∀x (Lazy(x) → Unproductive(x)) ∀x (Unproductive(x) → ¬Energetic(x)) ∀x (Sloth(x) → Lazy(x)) ∃x (Animal(x) ∧ Sloth(x)) ¬Energetic(sid) ∧ ¬Sloth(sid))","Animal(sid) Energetic(sid) ∧ Animal(sid) Animal(sid) ⊕ Unproductive(sid)) → ¬Energetic(sid)","['Not found', 'Or(Not(Animal(sid)),Not(Energetic(sid)))\n└── Not(Energetic(sid))\n', 'Implies(And(Or(Animal(sid),Unproductive(sid)),Not(And(Animal(sid),Unproductive(sid)))),Not(Energetic(sid)))\n├── Or(Or(Animal(sid),Not(Energetic(sid))),Not(Unproductive(sid)))\n│ └── Or(Not(Energetic($x16)),Not(Unproductive($x16)))\n└── Or(Or(Not(Animal(sid)),Not(Energetic(sid))),Unproductive(sid))\n └── Not(Energetic(sid))\n']" 324,"No professional soccer players play professional basketball. All professional soccer defenders are professional soccer players. All professional centerbacks are professional soccer defenders. Some athletes are professional center-backs. Stephen Curry plays professional basketball.","Stephen Curry is an athlete. Stephen Curry is an athlete and a professional centerback. If Stephen Curry is a professional centerback, then he is not an athlete.","U F T","∀x ((Professional(x) ∧ SoccerPlayer(x)) → ¬Play(x, professionalBasketball))) ∀x ((Professional(x) ∧ Defender(x)) → (Professional(x) ∧ SoccerPlayer(x))) ∀x ((Professional(x) ∧ CenterBack(x)) → (Professional(x) ∧ Defender(x)) ∃x (Athlete(x) ∧ Professional(x) ∧ CenterBack(x)) Play(stephenCurry, professionalBasketball)","Athlete(stephenCurry) Athlete(stephenCurry) ∧ Professional(stephenCurry) ∧ CenterBack(stephenCurry) (Professional(stephenCurry) ∧ CenterBack(stephenCurry)) → ¬Athlete(stephenCurry)","['Not found', 'Or(Or(Not(Athlete(stephenCurry)),Not(CenterBack(stephenCurry))),Not(Professional(stephenCurry)))\n└── Or(Not(CenterBack(stephenCurry)),Not(Professional(stephenCurry)))\n ├── Or(Not(Defender(stephenCurry)),Not(Professional(stephenCurry)))\n │ ├── Or(Not(Professional(stephenCurry)),Not(SoccerPlayer(stephenCurry)))\n │ │ ├── Or(Or(Not(Play($x13,professionalBasketball)),Not(Professional($x13))),Not(SoccerPlayer($x13)))\n │ │ └── Play(stephenCurry,professionalBasketball)\n │ └── Or(Or(Not(Defender($x16)),Not(Professional($x16))),SoccerPlayer($x16))\n └── Or(Or(Defender($x19),Not(CenterBack($x19))),Not(Professional($x19)))\n', 'Or(Or(Not(Athlete(stephenCurry)),Not(CenterBack(stephenCurry))),Not(Professional(stephenCurry)))\n└── Or(Not(CenterBack(stephenCurry)),Not(Professional(stephenCurry)))\n ├── Or(Not(Defender(stephenCurry)),Not(Professional(stephenCurry)))\n │ ├── Or(Not(Professional(stephenCurry)),Not(SoccerPlayer(stephenCurry)))\n │ │ ├── Or(Or(Not(Play($x13,professionalBasketball)),Not(Professional($x13))),Not(SoccerPlayer($x13)))\n │ │ └── Play(stephenCurry,professionalBasketball)\n │ └── Or(Or(Not(Defender($x16)),Not(Professional($x16))),SoccerPlayer($x16))\n └── Or(Or(Defender($x19),Not(CenterBack($x19))),Not(Professional($x19)))\n']" 420,"Some people are both late-night and early-morning people. If a person is an earl- morning person, they have early-morning habits. Everyone who has early-morning habits gets up early. Everyone who gets up early catches the sunrise. James doesn't catch the sunrise.","James is a late night person. James is a late night person and an early-morning person. If James is an early-morning person, then he is a late night person.","U F T","∃x (LateNightPerson(x) ∧ EarlyMorningPerson(x)) ∀x (EarlyMorningPerson(x) → Have(x, earlyMorningHabit)) ∀x (Have(x, earlyMorningHabit) → GetUpEarly(x)) ∀x (GetUpEarly(x) → CatchTheSunrise(x)) ¬CatchTheSunrise(james)","LateNightPerson(james) LateNightPerson(james) ∧ EarlyMorningPerson(james) EarlyMorningPerson(james) → LateNightPerson(james)","['Not found', 'Or(Not(EarlyMorningPerson(james)),Not(LateNightPerson(james)))\n└── Not(EarlyMorningPerson(james))\n ├── Not(Have(james,earlyMorningHabit))\n │ ├── Not(GetUpEarly(james))\n │ │ ├── Not(CatchTheSunrise(james))\n │ │ └── Or(CatchTheSunrise($x112),Not(GetUpEarly($x112)))\n │ └── Or(GetUpEarly($x19),Not(Have($x19,earlyMorningHabit)))\n └── Or(Have($x16,earlyMorningHabit),Not(EarlyMorningPerson($x16)))\n', 'Or(LateNightPerson(james),Not(EarlyMorningPerson(james)))\n└── Not(EarlyMorningPerson(james))\n ├── Not(Have(james,earlyMorningHabit))\n │ ├── Not(GetUpEarly(james))\n │ │ ├── Not(CatchTheSunrise(james))\n │ │ └── Or(CatchTheSunrise($x112),Not(GetUpEarly($x112)))\n │ └── Or(GetUpEarly($x19),Not(Have($x19,earlyMorningHabit)))\n └── Or(Have($x16,earlyMorningHabit),Not(EarlyMorningPerson($x16)))\n']" 333,"If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.","Sam is a young teenage girl who attends music festival frequently Sam is not a young teenage girl who attends music festival frequently Sam is a big fan of pop bands and singers. Sam neither has high ambitions and future career goals nor is she a young teenage girl attending music festival frequently Sam has high ambitions and future career goals and is a young teenage girl attending music festival frequently. Sam has high ambitions and future career goals and is a young teenage girl attending college. If Sam is a young teenage girl attending college, then Sam either does not have high ambitions and future career goals or is a big fan of pop bands and singers. If Sam has high ambitions and future career goals and is a young teenage girl attending college, then Sam either does not have high ambitions and future career goals or is not a young teenage girl attending college. If Sam has high ambitions and future career goals, then Sam is a young teenage girl attending college.","F T U T F F T T T","∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)","Attend(sam, festival) ∧ YoungTeenageGirl(sam) ¬(Attend(sam, festival) ∧ YoungTeenageGirl(sam)) BigFanOfMusic(sam) ¬(Ambitious(sam) ∨ (Attend(sam, festival) ∧ YoungTeenageGirl(sam))) Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam) Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam) Attend(sam, festival) ∧ YoungTeenageGirl(sam) → ¬(Ambitious(sam) ∨ (BigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam))) Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam) → ¬(Ambitious(sam) ∨ (Attend(sam, festival) ∧ YoungTeenageGirl(sam))) Ambitious(sam) → Attend(sam, festival) ∧ YoungTeenageGirl(sam)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 375,"All of Michael's neighbors who grow their own fresh vegetables in their home gardens also have ample space. All of Michael's neighbors who are young working professionals and live in large cities, do not have ample space. All of Michael's neighbors who order takeout from delivery services often grow their own fresh vegetables in their home garden. All of Michael's neighbors who enjoy going out often to restaurants with friends order takeout from delivery services often. All of Michael's neighbors who regularly tout the benefits of homegrown and homecooked meals over fast food enjoy going out often to restaurants with friends. Peter, Michael's neighbor, grows his own fresh vegetables in his home garden, or regularly touts the benefits of homegrown and homecooked meals over fast food, or both.","Peter enjoys going out often to restaurants with friends. Peter is a young working professional who lives in large cities. Peter grows his own fresh vegetables in their home garden or is a young working professional who lives in large cities.","U F T","∀x (MichaelsNeightbor(x) ∧ GrowIn(x, vegetable, garden) → Have(x, ampleSpace)) ∀x (MichaelsNeightbor(x) ∧ YoungWorkingProfession(x) ∧ LiveIn(x, largeCity) → ¬Have(x, ampleSpace)) ∀x (MichaelsNeightbor(x) ∧ OrderOften(x, takeout) → Grow(x, vegetable, garden)) ∀x (MichaelsNeightbor(x) ∧ EnjoyGoingOutOftenToWith(x, restaurant, friend) → OrderOften(x, takeout)) ∀x (MichaelsNeightbor(x) ∧ ToutOver(x, homecookedMeals, fastFood) → EnjoyGoingOutOftenToWith(x, restaurant, friend)) MichaelsNeightbor(peter) ∧ (GrowIn(peter, vegetable, garden) ∨ ToutOver(peter, homecookedMeals, fastFood))","EnjoyGoingOutOftenTo(peter, restaurant, friend) YoungWorkingProfession(peter) ∧ LiveIn(peter, largeCity) GrowIn(peter, vegetable, garden) ∨ (YoungWorkingProfession(peter) ∧ LiveIn(peter, largeCity))","['Not found', 'Not found', 'Not found']" 400,"Every student at the Yale School of Management either enrolls part-time or full-time in the current semester. No student at Yale School of Management who enrolls full-time takes less than two courses in the current semester. If a student at Yale School of Management owns a new start-up, then that student takes less than two courses in the current semester. All students at the Yale School of Management who are listed in the Forbes 30 Under 30 own new start-ups. Jackie is a student studying at Yale School of Management, and she takes less than two courses in the current semester, or she is listed in the Forbes 30 Under 30, or both.","Jackie owns a new start-up. Jackie either enrolls as part-time or full-time in the current semester. Jackie enrolls as part time and takes less than two courses in the current semester. Jackie either enrolls as part time or takes less than two courses in the current semester. If Jackie either enrolls as part-time in the current semester and is listed in the Forbes 30 Under 30, or neither enrolls as part-time in the current semester nor is listed in the Forbes 30 Under 30, then Jackie takes less than two courses in the current semester and listed in the Forbes 30 Under 30.","U T T F T","∀x ((Student(x) ∧ Affiliated(x, yaleSchoolOfManagement)) → (PartTime(x) ⊕ FullTime(x)) ∀x ((Student(x) ∧ Affiliated(x, yaleSchoolOfManagement) ∧ FullTime(x)) → (∃y(¬LessThan(y, num2) ∧ TakesCourses(x,y)) ∀x ((Student(x) ∧ Affiliated(x, yaleSchoolOfManagement) ∧ Owns(x, startUp)) → (∃y(LessThan(y, num2) ∧ TakesCourses(x,y)) ∀x ((Student(x) ∧ Affiliated(x, yaleSchoolOfManagement) ∧ ForbesList(x)) → Owns(x, startUp)) Student(jackie) ∧ Affiliated(jackie, yaleSchoolOfManagement) ∧ (∃y(LessThan(y, num2) ∧ TakesCourses(x,y))) ∨ ForbesList(jackie))","Owns(jackie, startUp) FullTime(jackie) ⊕ PartTime(jackie) PartTime(jackie) ∧ (∃y (LessThan(y, num2) ∧ TakesCourses(x,y)) PartTime(jackie) ⊕ (∃y (LessThan(y, num2) ∧ TakesCourses(x,y))) ¬(PartTime(jackie) ⊕ ForbesList(jackie)) → ∃y (LessThan(y, num2) ∧ TakesCourses(x,y)) ∧ ForbesList(jackie)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 463,"All eels are fish. No fish are plants. Everything displayed in the collection is either a plant or an animal. All multicellular animals are not bacteria. All animals displayed in the collection are multicellular. A sea eel is displayed in the collection. The sea eel is an eel or an animal or not a plant.","The sea eel is an eel. The sea eel is bacteria. The sea eel is multicellular or is bacteria.","U F T","∀x (Eel(x) → Fish(x)) ∀x (Fish(x) → ¬Plant(x)) ∀x (DisplayedIn(x, collection) → Plant(x) ⊕ Animal(x)) ∀x (Multicellular(x) → ¬Bacteria(x)) ∀x (DisplayedIn(x, collection) ∧ Animal(x) → Multicellular(x)) DisplayedIn(seaEel, collection) Eel(seaEel) ∨ Animal(seaEel) ∨ ¬Plant(seaEel)","Eel(seaEel) Bacteria(seaEel) Multicellular(seaEel) ∨ Bacteria(seaEel) ","['Not found', 'Not found', 'Not found']" 342,"All sports cars are loud. No loud cars are electric. If a car is a Ferrari, then it is a sports car. All cars made in Maranello are Ferraris. The Toyota Prius is made in Maranello or is a loud car, or both.","Prius is an electric car. The Toyota Prius is not an electric car. The Toyota Prius is a equipped with a Ferrari V12 engine. If The Toyota Prius is a Ferrari or a loud car, then The Toyota Prius is an electric car.","F T U F","∀x (SportsCar(x) → LoudCar(x)) ∀x (LoudCar(x) → ¬ElectricCar(x)) ∀x (Ferrari(x) → SportsCar(x)) ∀x ((Car(x) ∧ MadeIn(x, maranello)) → Ferrari(x)) (Car(toyotaPrius) ∧ MadeIn(toyotaPrius, maranello)) ∨ LoudCar(toyotaPrius)","ElectricCar(toyotaPrius) ¬ElectricCar(toyotaPrius) MadeIn(toyotaPrius, maranello) Ferrari(toyotaPrius) ∨ LoudCar(toyotaPrius) → ElectricCar(toyotaPrius)","['Not(ElectricCar(toyotaPrius))\n├── LoudCar(toyotaPrius)\n│ ├── Or(Car(toyotaPrius),LoudCar(toyotaPrius))\n│ └── Or(LoudCar(toyotaPrius),Not(Car(toyotaPrius)))\n│ ├── Or(LoudCar($x13),Not(SportsCar($x13)))\n│ └── Or(Or(LoudCar(toyotaPrius),Not(Car(toyotaPrius))),SportsCar(toyotaPrius))\n│ ├── Or(Not(Ferrari($x19)),SportsCar($x19))\n│ └── Or(Or(Ferrari(toyotaPrius),LoudCar(toyotaPrius)),Not(Car(toyotaPrius)))\n│ ├── Or(LoudCar(toyotaPrius),MadeIn(toyotaPrius,maranello))\n│ └── Or(Or(Ferrari($x112),Not(Car($x112))),Not(MadeIn($x112,maranello)))\n└── Or(Not(ElectricCar($x16)),Not(LoudCar($x16)))\n', 'Not(ElectricCar(toyotaPrius))\n├── LoudCar(toyotaPrius)\n│ ├── Or(Car(toyotaPrius),LoudCar(toyotaPrius))\n│ └── Or(LoudCar(toyotaPrius),Not(Car(toyotaPrius)))\n│ ├── Or(LoudCar($x13),Not(SportsCar($x13)))\n│ └── Or(Or(LoudCar(toyotaPrius),Not(Car(toyotaPrius))),SportsCar(toyotaPrius))\n│ ├── Or(Not(Ferrari($x19)),SportsCar($x19))\n│ └── Or(Or(Ferrari(toyotaPrius),LoudCar(toyotaPrius)),Not(Car(toyotaPrius)))\n│ ├── Or(LoudCar(toyotaPrius),MadeIn(toyotaPrius,maranello))\n│ └── Or(Or(Ferrari($x112),Not(Car($x112))),Not(MadeIn($x112,maranello)))\n└── Or(Not(ElectricCar($x16)),Not(LoudCar($x16)))\n', 'Not found', 'Not found']" 434,"All students who registered for the conference are invited to attend it. All students who attend in-person have registered for the conference. Students attend the conference either in-person or remotely. None of the students in China attend the conference remotely. James neither attended the conference remotely, nor presented at the conference. Jack is a student; he is either in China or he registered for the conference.","James is a student in China. James is not a student in China. Jack is invited to attend the conference, or he will present at the conference. Either Jack is invited to attend the conference or James will present at the conference. It is not true that Jack registered for the conference and James is invited to attend the conference.","U U T T F","∀x ((Student(x) ∧ RegisteredFor(x, conference)) → InvitedToAttend(x, conference)) ∀x ((Student(x) ∧ AttendInPerson(x, conference)) → RegisteredFor(x, conference)) ∀x (Student(x) → (AttendInPerson(x, conference) ⊕ AttendRemotely(x, conference))) ∀x (Student(x) ∧ In(x, china) → (¬AttendRemotely(x, theConference))) Student(james) ∧ (¬AttendRemotely(james, conference) ∧ ¬PresentedAt(james, conference)) Student(jack) ∧ (In(jack, china) ⊕ RegisteredFor(jack, conference))","Student(james) ∧ In(james, china) ¬(Student(james)) ∧ In(james, china) InvitedToAttend(jack, conference) ∨ PresentedAt(jack, conference) InvitedToAttend(jack, conference) ⊕ PresentedAt(jack, conference) ¬(RegisteredFor(jack, conference) ∧ InvitedToAttend(james, conference))","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 403,"There's a person in Benji's family who likes eating cheese or is a francophile. There is no francophile in Benji's family whose favorite country is Spain. There is a person in Benji's family who likes eating cheese or whose favorite country is Spain. Fabien is in Benji's family and does not both study Spanish and also like eating cheese. Fabien studies Spanish.","Fabien is a person who likes eating cheese. If Fabien is either a person who likes eating cheese or a francophile, then Fabien is neither a person who studies Spanish nor a person who is a francophile. If Fabien is a person who likes Spain as their favorite country or is a francophile, then Fabien is either a person who studies Spanish or a person who likes Spain as their favorite country.","U T F","∃x (InBenjiSFamily(x) → (LikeEating(x, cheese) ∨ Francophile(x))) ∀x ((InBenjiSFamily(x) ∧ Francophile(x)) → ¬Favor(x, spain)) ∃x (InBenjiSFamily(x) ∧ (Favor(x, spain) ∨ LikeEating(x, cheese))) InBenjiSFamily(fabien) ∧ (¬(LikeEating(fabien, cheese) ∧ Study(fabien, spanish))) Study(fabien, spanish)","LikeEating(fabien, cheese) (LikeEating(fabien, cheese) ⊕ Francophile(fabien)) → (¬(Study(fabien, spanish) ∨ Francophile(fabien))) (Favor(fabien, spain) ∨ Francophile(fabien)) → (Study(fabien, spanish) ⊕ Favor(fabien, spain))","['Not(LikeEating(fabien,cheese))\n├── Or(Not(LikeEating(fabien,cheese)),Not(Study(fabien,spanish)))\n└── Study(fabien,spanish)\n', 'Not found', 'Not found']" 316,"There are no mansion houses in an urban area. All skyscrapers are in urban areas. Every creepy haunted house is a mansion house. Every terrifying building on Halloween is a creepy haunted house. The LaLaurie House is a creepy haunted house or a terrifying building on Halloween.","The LaLaurie House is a skyscraper. The LaLaurie House is not a skyscraper. The LaLaurie House is a terrifying building on Halloween. The LaLaurie House is either a skyscraper or a mansion house. The LaLaurie House is either a skyscraper or in an urban area. The LaLaurie House is either a skyscraper or a creepy haunted house. If the LaLaurie House is not a mansion or not in an urban area, then it is either a skyscraper or in an urban area. If the LaLaurie House is either a skyscraper or a mansion house, then it is in an urban area. If the LaLaurie House is either a skyscraper or a mansion house, then it is neither a creepy haunted house nor a terrifying building on Halloween. If the LaLaurie House is either a skyscraper or a creepy haunted house, then it is not a mansion house.","F T U T F T F F F F","∀x (InUrbanArea(x) → ¬MansionHouse(x)) ∀x (Skyscraper(x) → InUrbanArea(x)) ∀x (CreepyHauntedHouse(x) → MansionHouse(x)) ∀x (TerrifyingBuilding(x) ∧ OnHalloween(x) → CreepyHauntedHouse(x)) CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse)","Skyscraper(laLaurieHouse) ¬Skyscraper(laLaurieHouse) TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse) Skyscraper(laLaurieHouse) ⊕ MansionHouse(laLaurieHouse) Skyscraper(laLaurieHouse) ⊕ UrbanArea(laLaurieHouse) Skyscraper(laLaurieHouse) ⊕ CreepyHauntedHouse(laLaurieHouse) ¬(MansionHouse(laLaurieHouse) ∧ InUrbanArea(laLaurieHouse)) → (Skyscraper(laLaurieHouse) ⊕ InUrbanArea(laLaurieHouse)) Skyscraper(laLaurieHouse) ⊕ MansionHouse(laLaurieHouse) → InUrbanArea(laLaurieHouse) Skyscraper(laLaurieHouse) ⊕ MansionHouse(laLaurieHouse) → ¬(CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse)) Skyscraper(laLaurieHouse) ⊕ CreepyHauntedHouse(laLaurieHouse) → ¬MansionHouse(laLaurieHouse)","['Not(Skyscraper(laLaurieHouse))\n├── CreepyHauntedHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n└── Or(Not(CreepyHauntedHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(InUrbanArea($x13)))\n ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not(Skyscraper(laLaurieHouse))\n├── CreepyHauntedHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n└── Or(Not(CreepyHauntedHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(InUrbanArea($x13)))\n ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not found', 'And(Or(Skyscraper(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(And(Skyscraper(laLaurieHouse),MansionHouse(laLaurieHouse))))\n├── Or(MansionHouse(laLaurieHouse),Skyscraper(laLaurieHouse))\n│ └── MansionHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n│ │ └── Or(MansionHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n└── Or(Not(MansionHouse(laLaurieHouse)),Not(Skyscraper(laLaurieHouse)))\n └── Or(Not(MansionHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not found', 'And(Or(Skyscraper(laLaurieHouse),CreepyHauntedHouse(laLaurieHouse)),Not(And(Skyscraper(laLaurieHouse),CreepyHauntedHouse(laLaurieHouse))))\n├── Or(CreepyHauntedHouse(laLaurieHouse),Skyscraper(laLaurieHouse))\n│ └── CreepyHauntedHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n└── Or(Not(CreepyHauntedHouse(laLaurieHouse)),Not(Skyscraper(laLaurieHouse)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(InUrbanArea($x13)))\n ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not(Implies(Not(And(MansionHouse(laLaurieHouse),InUrbanArea(laLaurieHouse))),And(Or(Skyscraper(laLaurieHouse),InUrbanArea(laLaurieHouse)),Not(And(Skyscraper(laLaurieHouse),InUrbanArea(laLaurieHouse))))))\n├── Or(InUrbanArea(laLaurieHouse),Not(Skyscraper(laLaurieHouse)))\n│ └── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n├── Or(Not(InUrbanArea(laLaurieHouse)),Not(MansionHouse(laLaurieHouse)))\n│ └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n└── Or(Not(InUrbanArea(laLaurieHouse)),Skyscraper(laLaurieHouse))\n └── Not(InUrbanArea(laLaurieHouse))\n ├── MansionHouse(laLaurieHouse)\n │ ├── Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse))\n │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n │ │ └── Or(MansionHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n │ │ ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n │ │ └── Or(Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(OnHalloween(laLaurieHouse)))\n │ │ ├── Or(MansionHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n │ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n │ │ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n │ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not(Implies(And(Or(Skyscraper(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(And(Skyscraper(laLaurieHouse),MansionHouse(laLaurieHouse)))),InUrbanArea(laLaurieHouse)))\n├── Not(InUrbanArea(laLaurieHouse))\n│ ├── MansionHouse(laLaurieHouse)\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse))\n│ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n│ │ │ └── Or(MansionHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ │ ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ │ └── Or(Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(OnHalloween(laLaurieHouse)))\n│ │ │ ├── Or(MansionHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n├── Or(MansionHouse(laLaurieHouse),Skyscraper(laLaurieHouse))\n│ └── MansionHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n│ │ └── Or(MansionHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n└── Or(Not(MansionHouse(laLaurieHouse)),Not(Skyscraper(laLaurieHouse)))\n └── Or(Not(MansionHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n', 'Not found', 'Not(Implies(And(Or(Skyscraper(laLaurieHouse),CreepyHauntedHouse(laLaurieHouse)),Not(And(Skyscraper(laLaurieHouse),CreepyHauntedHouse(laLaurieHouse)))),Not(MansionHouse(laLaurieHouse))))\n├── MansionHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n│ │ └── Or(MansionHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse(laLaurieHouse),MansionHouse(laLaurieHouse)),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(MansionHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ │ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n├── Or(CreepyHauntedHouse(laLaurieHouse),Skyscraper(laLaurieHouse))\n│ └── CreepyHauntedHouse(laLaurieHouse)\n│ ├── Or(CreepyHauntedHouse(laLaurieHouse),Not(OnHalloween(laLaurieHouse)))\n│ │ ├── Or(CreepyHauntedHouse(laLaurieHouse),TerrifyingBuilding(laLaurieHouse))\n│ │ └── Or(Or(CreepyHauntedHouse($x112),Not(OnHalloween($x112))),Not(TerrifyingBuilding($x112)))\n│ └── Or(CreepyHauntedHouse(laLaurieHouse),OnHalloween(laLaurieHouse))\n└── Or(Not(CreepyHauntedHouse(laLaurieHouse)),Not(Skyscraper(laLaurieHouse)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(Skyscraper($x13)))\n ├── Or(InUrbanArea($x16),Not(Skyscraper($x16)))\n └── Or(Not(CreepyHauntedHouse($x13)),Not(InUrbanArea($x13)))\n ├── Or(MansionHouse($x19),Not(CreepyHauntedHouse($x19)))\n └── Or(Not(InUrbanArea($x13)),Not(MansionHouse($x13)))\n']" 345,"All kids are young. All toddlers are kids. If someone is young, then they are not elderly. All pirates are seafarers. If Nancy is not a pirate, then Nancy is young. If Nancy is not a toddler, then Nancy is a seafarer.","Nancy is a pirate. Nancy is either both a pirate and a toddler, or neither a pirate nor a toddler. If Nancy is not either a pirate or a toddler, then she is young and is a kid.","U F T","∀x (Kid(x) → Young(x)) ∀x (Toddler(x) → Kid(x)) ∀x (Young(x) → ¬Elderly(x)) ∀x (Pirate(x) → Seafarer(x)) ¬Pirate(nancy) → Young(nancy) ¬Toddler(nancy) → Seafarer(nancy)","Pirate(nancy) ¬(Pirate(nancy) ⊕ Toddler(nancy)) ¬(Pirate(nancy) ⊕ Toddler(nancy)) → Young(nancy) ∧ Kid(nancy)","['Not found', 'Not found', 'Not found']" 401,"Everyone at 'Board Game night' is interested in puzzles, or they are bad at chess, or both. If a person at 'Board Game night' is bad at chess, then they don't play a lot of chess. There is a person at 'Board Game night' who is either a planner or a creative person. Erica is at 'Board Game night,' and she is someone who plays a lot of chess. If Erica is neither bad at chess nor creative, then Erica is either someone who plans and is creative, or she is neither of these things.","Erica plans. Erica is interested in puzzles and is creative. Erica is either interested in puzzles or is creative. If Erica plans ahead or plays a lot of chess matches, then Erica is not interested in puzzles and creative. If Erica is creative, then Erica is not interested in puzzles and creative. If Erica is interested in puzzles and is creative, then Erica is not creative. If Erica either plays a lot of chess matches or is creative, then Erica is neither interested in puzzles nor a person who plays a lot of chess matches. If Erica is interested in puzzles and plays a lot of chess matches, then Erica is either a person who plays a lot of chess matches or a person that is creative. If Erica plans ahead or is interested in puzzles, then Erica is creative. If Erica is either bad at chess or interested in puzzles, then Erica is not a person who plays a lot of chess matches and creative.","U T F F F F T F T F","∀x (At(x, boardGameNight) → (InterestedIn(x, puzzle) ∨ BadAt(x, chess))) ∀x ((At(x, boardGameNight) ∧ BadAt(x, chess)) → ¬PlaysOften(x, chess)) ∃x (At(x, boardGameNight) ∧ (Planner(x) ∨ Creative(x))) At(erica, boardGameNight) ∧ PlaysOften(erica, chess) (At(erica, boardGameNight) ∧ (¬(BadAt(erica, chess) ∨ Creative(erica)))) → ¬(Planner(erica) ⊕ Creative(erica))","Planner(erica) InterestedIn(erica, puzzle) ∧ Creative(erica) InterestedIn(erica, puzzle) ⊕ Creative(erica) Planner(erica) ∨ PlaysOften(erica, chess))) → (¬(InterestedIn(erica, puzzle) ∧ Creative(erica)) Creative(erica)) → (¬(InterestedIn(erica, puzzle) ∧ Creative(erica)) InterestedIn(erica, puzzle) ∧ Creative(erica)) → ¬Creative(erica) PlaysOften(erica, chess) ⊕ InterestedIn(erica, puzzle) → ¬(InterestedIn(erica, puzzle) ∨ PlaysOften(erica, chess)) PlaysOften(erica, chess) ⊕ InterestedIn(erica, puzzle)) → ¬(InterestedIn(erica, puzzle) ∨ PlaysOften(erica, chess) Planner(erica) ∨ InterestedIn(erica, puzzle) → Creative(erica) BadAt(erica, chess) ⊕ InterestedIn(erica, puzzle) → ¬(PlaysOften(erica, chess) ∧ Creative(erica))","['Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Implies(And(Or(PlaysOften(erica,chess),InterestedIn(erica,puzzle)),Not(And(PlaysOften(erica,chess),InterestedIn(erica,puzzle)))),Not(Or(InterestedIn(erica,puzzle),PlaysOften(erica,chess))))\n├── Or(InterestedIn(erica,puzzle),Not(PlaysOften(erica,chess)))\n│ ├── At(erica,boardGameNight)\n│ └── Or(Or(InterestedIn(erica,puzzle),Not(At(erica,boardGameNight))),Not(PlaysOften(erica,chess)))\n│ ├── Or(BadAt(erica,chess),InterestedIn(erica,puzzle))\n│ │ ├── At(erica,boardGameNight)\n│ │ └── Or(Or(BadAt($x13,chess),InterestedIn($x13,puzzle)),Not(At($x13,boardGameNight)))\n│ └── Or(Or(Not(At($x16,boardGameNight)),Not(BadAt($x16,chess))),Not(PlaysOften($x16,chess)))\n└── Or(Not(InterestedIn(erica,puzzle)),PlaysOften(erica,chess))\n └── PlaysOften(erica,chess)\n', 'Implies(And(Or(PlaysOften(erica,chess),InterestedIn(erica,puzzle)),Not(And(PlaysOften(erica,chess),InterestedIn(erica,puzzle)))),Not(Or(InterestedIn(erica,puzzle),PlaysOften(erica,chess))))\n├── Or(InterestedIn(erica,puzzle),Not(PlaysOften(erica,chess)))\n│ ├── At(erica,boardGameNight)\n│ └── Or(Or(InterestedIn(erica,puzzle),Not(At(erica,boardGameNight))),Not(PlaysOften(erica,chess)))\n│ ├── Or(BadAt(erica,chess),InterestedIn(erica,puzzle))\n│ │ ├── At(erica,boardGameNight)\n│ │ └── Or(Or(BadAt($x13,chess),InterestedIn($x13,puzzle)),Not(At($x13,boardGameNight)))\n│ └── Or(Or(Not(At($x16,boardGameNight)),Not(BadAt($x16,chess))),Not(PlaysOften($x16,chess)))\n└── Or(Not(InterestedIn(erica,puzzle)),PlaysOften(erica,chess))\n └── PlaysOften(erica,chess)\n', 'Not found', 'Not found']" 336,"No vegetables are called sweets. All desserts are called sweets. All vegetables are grown. All cookies are desserts. The cake is either called a cookie or it is called a sweet. ","Cake is called a dessert. Cake is a vegetable. Cake is not a vegetable.","U F T","∀x (Vegetable(x) → Sweet(x)) ∀x (Dessert(x) → Sweet(x)) ∀x (Vegetable(x) → Grown(x)) ∀x (Cookie(x) → Dessert(x)) Cookie(cake) ⊕ Sweet(cake)","Dessert(cake) Vegetable(cake) ¬Vegetable(cake)","['Not found', 'Not found', 'Not found']" 416,"Some students in the class who are good at math are also good at chemistry. All students in the class who are good at chemistry enjoy conducting experiments. All students in the class that enjoy conducting experiments are good at planning. None of the students who are good at planning failed the class. James is a student in the class; he is either good at chemistry and failed the class, or bad at chemistry and passed the class.","James is good at planning. James is good at math and chemistry. James failed the class and is good at math. If James is good at Chemistry or failed the class, then James is either good at planning or good at math.","U F F T","∃x ∃y (StudentInTheClass(x) ∧ GoodAt(x, math) ∧ GoodAt(x, chemistry) ∧ (¬(x=y)) ∧ StudentInTheClass(y) ∧ GoodAt(y, math) ∧ GoodAt(y, chemistry)) ∀x ((StudentInTheClass(x) ∧ GoodAt(x, chemistry)) → Enjoy(x, conductingExperiment)) ∀x ((StudentInTheClass(x) ∧ Enjoy(x, conductingExperiment)) → GoodAt(x, planning)) ∀x ((StudentInTheClass(x) ∧ GoodAt(x, planning)) → ¬Failed(x, theClass)) StudentInTheClass(james) ∧ (¬(GoodAt(james, chemistry) ⊕ Failed(james, theClass)))","GoodAt(james, planning) GoodAt(james, chemistry) ∧ GoodAt(james, math) Failed(james, james) ∧ GoodAt(james, math) (GoodAt(james, chemistry) ∨ Failed(james, theClass)) → (GoodAt(james, planning) ⊕ GoodAt(james, math))","['Not found', 'Or(Not(GoodAt(james,chemistry)),Not(GoodAt(james,math)))\n└── Not(GoodAt(james,chemistry))\n ├── Or(Enjoy(james,conductingExperiment),Not(GoodAt(james,chemistry)))\n │ ├── Or(Or(Enjoy($x16,conductingExperiment),Not(GoodAt($x16,chemistry))),Not(StudentInTheClass($x16)))\n │ └── StudentInTheClass(james)\n └── Or(Not(Enjoy(james,conductingExperiment)),Not(GoodAt(james,chemistry)))\n ├── Or(GoodAt(james,planning),Not(Enjoy(james,conductingExperiment)))\n │ ├── Or(Or(GoodAt($x19,planning),Not(Enjoy($x19,conductingExperiment))),Not(StudentInTheClass($x19)))\n │ └── StudentInTheClass(james)\n └── Or(Not(GoodAt(james,chemistry)),Not(GoodAt(james,planning)))\n ├── Or(Failed(james,theClass),Not(GoodAt(james,chemistry)))\n └── Or(Not(Failed(james,theClass)),Not(GoodAt(james,planning)))\n ├── Or(Or(Not(Failed($x112,theClass)),Not(GoodAt($x112,planning))),Not(StudentInTheClass($x112)))\n └── StudentInTheClass(james)\n', 'Not found', 'Implies(Or(GoodAt(james,chemistry),Failed(james,theClass)),And(Or(GoodAt(james,planning),GoodAt(james,math)),Not(And(GoodAt(james,planning),GoodAt(james,math)))))\n├── Or(Or(GoodAt(james,math),GoodAt(james,planning)),Not(Failed(james,theClass)))\n│ └── Or(GoodAt(james,planning),Not(Failed(james,theClass)))\n│ ├── Or(GoodAt(james,chemistry),Not(Failed(james,theClass)))\n│ └── Or(GoodAt(james,planning),Not(GoodAt(james,chemistry)))\n│ ├── Or(Enjoy(james,conductingExperiment),Not(GoodAt(james,chemistry)))\n│ │ ├── Or(Or(Enjoy($x16,conductingExperiment),Not(GoodAt($x16,chemistry))),Not(StudentInTheClass($x16)))\n│ │ └── StudentInTheClass(james)\n│ └── Or(GoodAt(james,planning),Not(Enjoy(james,conductingExperiment)))\n│ ├── Or(Or(GoodAt($x19,planning),Not(Enjoy($x19,conductingExperiment))),Not(StudentInTheClass($x19)))\n│ └── StudentInTheClass(james)\n├── Or(Or(GoodAt(james,math),GoodAt(james,planning)),Not(GoodAt(james,chemistry)))\n│ └── Or(GoodAt(james,planning),Not(GoodAt(james,chemistry)))\n│ ├── Or(Enjoy(james,conductingExperiment),Not(GoodAt(james,chemistry)))\n│ │ ├── Or(Or(Enjoy($x16,conductingExperiment),Not(GoodAt($x16,chemistry))),Not(StudentInTheClass($x16)))\n│ │ └── StudentInTheClass(james)\n│ └── Or(GoodAt(james,planning),Not(Enjoy(james,conductingExperiment)))\n│ ├── Or(Or(GoodAt($x19,planning),Not(Enjoy($x19,conductingExperiment))),Not(StudentInTheClass($x19)))\n│ └── StudentInTheClass(james)\n├── Or(Or(Not(Failed(james,theClass)),Not(GoodAt(james,math))),Not(GoodAt(james,planning)))\n│ └── Or(Not(Failed(james,theClass)),Not(GoodAt(james,planning)))\n│ ├── Or(Or(Not(Failed($x112,theClass)),Not(GoodAt($x112,planning))),Not(StudentInTheClass($x112)))\n│ └── StudentInTheClass(james)\n└── Or(Or(Not(GoodAt(james,chemistry)),Not(GoodAt(james,math))),Not(GoodAt(james,planning)))\n └── Or(Not(GoodAt(james,chemistry)),Not(GoodAt(james,planning)))\n ├── Or(Failed(james,theClass),Not(GoodAt(james,chemistry)))\n └── Or(Not(Failed(james,theClass)),Not(GoodAt(james,planning)))\n ├── Or(Or(Not(Failed($x112,theClass)),Not(GoodAt($x112,planning))),Not(StudentInTheClass($x112)))\n └── StudentInTheClass(james)\n']" 340,"Everyone at the mixer is a Grand Slam champion or an Oscar-nominated actor. Every Grand Slam champion at the mixer is a professional tennis player. All Oscar-nominated actors at the mixer are celebrities. All professional tennis players at the mixer are athletes. If a person at the mixer is a celebrity, then they are well paid. If a person at the mixer is an athlete, then they are famous. All well-paid people at the mixer live in tax havens. Djokovic is at the mixer: if Djokovic is a famous athlete, then Djokovic is well-paid.","Djokovic is a Grand Slam champion. Djokovic lives in a tax haven. Djokovic does not live in a tax haven.","U T F","∀x (At(x, mixer) → (GrandSlam(x) ∧ Champion(x)) ∨ (OscarNominated(x) ∧ Actor(x))) ∀x (At(x, mixer) ∧ (GrandSlam(x) ∧ Champion(x) → Professional(x) ∧ TennisPlayer(x)) ∀x (At(x, mixer) ∧ (OscarNominated(x) ∧ Actor(x) → Celebrity(x)) ∀x (At(x, mixer) ∧ Professional(x) ∧ TennisPlayer(x) → Athlete(x)) ∀x (At(x, mixer) ∧ Celebrity(x) → WellPaid(x)) ∀x (At(x, mixer) ∧ Athlete(x) → Famous(x)) ∀x (At(x, mixer) ∧ WellPaid(x) → LiveIn(x, taxHaven)) At(djokovic, mixer) ∧ (Famous(djokovic) ∧ Athlete(djokovic) → WellPaid(djokovic))","GrandSlam(djokovic) ∧ Champion(djokovic) LiveIn(djokovic, taxHaven) ¬LiveIn(djokovic, taxHaven)","['Not found', 'Not found', 'Not found']" 392,"All prime numbers are natural numbers. All integers are real numbers. All real numbers are complex numbers. One is a prime number or a natural number or both. If one is not a complex number, then one is a prime number and an integer.","One is a real number. One is a prime number and a natural number. One is either a prime number or a natural number.","U T F","∀x (PrimeNumber(x) → NaturalNumber(x)) ∀x (Integer(x) → RealNumber(x)) ∀x (RealNumber(x) → ComplexNumber(x)) PrimeNumber(one) ∨ NaturalNumber(one) ¬ComplexNumber(one) → (PrimeNumber(one) ∧ Integer(one))","RealNumber(one) PrimeNumber(one) ∧ NaturalNumber(one) PrimeNumber(one) ⊕ NaturalNumber(one)","['Not found', 'Not found', 'Not found']" 484,"No songs are visuals. All folk songs are songs. All videos are visuals. 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.","Inception is a folk song. Inception is not a folk song. Inception is either a video or a folk song. Mac is a video.","F T T U","∀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)","FolkSong(inception) ¬FolkSong(inception) Video(inception) ⊕ FolkSong(inception) Video(mac)","['Not(FolkSong(inception))\n├── Not(Song(inception))\n│ ├── Or(Not(Song($x13)),Not(Visual($x13)))\n│ └── Visual(inception)\n│ ├── Or(Not(Video($x19)),Visual($x19))\n│ └── Video(inception)\n│ ├── Movie(inception)\n│ │ ├── Or(Movie($x115),Not(ScifiMovie($x115)))\n│ │ └── ScifiMovie(inception)\n│ └── Or(Not(Movie($x112)),Video($x112))\n└── Or(Not(FolkSong($x16)),Song($x16))\n', 'Not(FolkSong(inception))\n├── Not(Song(inception))\n│ ├── Or(Not(Song($x13)),Not(Visual($x13)))\n│ └── Visual(inception)\n│ ├── Or(Not(Video($x19)),Visual($x19))\n│ └── Video(inception)\n│ ├── Movie(inception)\n│ │ ├── Or(Movie($x115),Not(ScifiMovie($x115)))\n│ │ └── ScifiMovie(inception)\n│ └── Or(Not(Movie($x112)),Video($x112))\n└── Or(Not(FolkSong($x16)),Song($x16))\n', 'And(Or(Video(inception),FolkSong(inception)),Not(And(Video(inception),FolkSong(inception))))\n├── Or(FolkSong(inception),Video(inception))\n│ └── Video(inception)\n│ ├── Movie(inception)\n│ │ ├── Or(Movie($x115),Not(ScifiMovie($x115)))\n│ │ └── ScifiMovie(inception)\n│ └── Or(Not(Movie($x112)),Video($x112))\n└── Or(Not(FolkSong(inception)),Not(Video(inception)))\n └── Or(Not(FolkSong($x19)),Not(Video($x19)))\n ├── Or(Not(FolkSong($x16)),Song($x16))\n └── Or(Not(Song($x19)),Not(Video($x19)))\n ├── Or(Not(Song($x13)),Not(Visual($x13)))\n └── Or(Not(Video($x19)),Visual($x19))\n', 'Not found']" 388,"No publications published in this lab are without abstracts. Everything published in this lab is a Science journal or a CellPress journal. All Science journal publications published in this lab are prominent publications. All Science journal publications published in this lab require peer reviews. No prominent publications published in this lab are easily accepted. ""Provision of High Meat Content Food and Object Play Reduce Predation of Wild Animals by Domestic Cats Felis catus"" is either both a Science journal or a CellPress journal, or neither a Science journal nor a CellPress journal","""Provision of High Meat Content Food and Object Play Reduce Predation of Wild Animals by Domestic Cats Felis catus"" is a publication without abstracts. If ""Provision of High Meat Content Food and Object Play Reduce Predation of Wild Animals by Domestic Cats Felis catus"" is either easily accepted or a publication without peer review, then it is a prominent publication and requires peer review. If ""Provision of High Meat Content Food and Object Play Reduce Predation of Wild Animals by Domestic Cats Felis catus"" is Publications on Science without abstracts or requires abstracts, then it is not either a Science journal or easily accepted.","F T F","∀x (Publication(x) ∧ PublishedIn(x, thisLab) → ¬WithoutAbstract(x)) ∀x (Publication(x) ∧ PublishedIn(x, thisLab) ∧ (ScienceJournal(x) ∨ CellPressJournal(x))) ∀x (PublishedIn(x, thisLab) ∧ ScienceJournal(x) ∧ Publication(x) → Prominent(x) ∧ Publication(x)) ∀x (PublishedIn(x, thisLab) ∧ ScienceJournal(x) ∧ Publication(x) → Require(x, peerReview)) ∀x (PublishedIn(x, thisLab) ∧ Prominent(x) ∧ Publication(x) → ¬EasilyAccepted(x)) PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus, thisLab) ∧ ¬(ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ⊕ CellPressJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))","WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ⊕ WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) → Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ∧ Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ∧ Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus, peerReview) WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ∨ Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus, peerReview) → ¬(ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus) ⊕ EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))","['Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n├── Or(Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))\n│ ├── Or(Or(Not(Publication($x13)),Not(PublishedIn($x13,thisLab))),Not(WithoutAbstract($x13)))\n│ └── PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)\n└── Publication($x16)\n', 'Implies(And(Or(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(And(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))),And(And(Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview)))\n├── Or(Or(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))),Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ └── Not(WithoutAbstract($x16))\n│ ├── Or(Not(Publication($x16)),Not(WithoutAbstract($x16)))\n│ │ ├── Or(Or(Not(Publication($x13)),Not(PublishedIn($x13,thisLab))),Not(WithoutAbstract($x13)))\n│ │ └── PublishedIn($x16,thisLab)\n│ └── Publication($x16)\n├── Or(Or(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))),Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ └── Publication($x16)\n├── Or(Or(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview))\n│ └── Not(WithoutAbstract($x16))\n│ ├── Or(Not(Publication($x16)),Not(WithoutAbstract($x16)))\n│ │ ├── Or(Or(Not(Publication($x13)),Not(PublishedIn($x13,thisLab))),Not(WithoutAbstract($x13)))\n│ │ └── PublishedIn($x16,thisLab)\n│ └── Publication($x16)\n├── Or(Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ └── Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)\n│ ├── Or(Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)),Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ │ ├── Or(Or(Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab))),Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ │ │ ├── Or(Or(Or(Not(Publication($x19)),Not(PublishedIn($x19,thisLab))),Not(ScienceJournal($x19))),Prominent($x19))\n│ │ │ └── ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)\n│ │ │ ├── Or(CellPressJournal($x16),ScienceJournal($x16))\n│ │ │ └── Or(Not(CellPressJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ │ └── Publication($x16)\n│ └── PublishedIn($x16,thisLab)\n├── Or(Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ └── Publication($x16)\n└── Or(Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview)),WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n └── Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview)\n ├── Or(Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview))\n │ ├── Or(Or(Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab))),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview))\n │ │ ├── Or(Or(Or(Not(Publication($x112)),Not(PublishedIn($x112,thisLab))),Not(ScienceJournal($x112))),Require($x112,peerReview))\n │ │ └── ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)\n │ │ ├── Or(CellPressJournal($x16),ScienceJournal($x16))\n │ │ └── Or(Not(CellPressJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n │ └── Publication($x16)\n └── PublishedIn($x16,thisLab)\n', 'Not(Or(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),Implies(Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview),Not(And(Or(ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(And(ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))))))))\n├── Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ ├── Or(Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(WithoutAbstract(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))\n│ │ ├── Or(Or(Not(Publication($x13)),Not(PublishedIn($x13,thisLab))),Not(WithoutAbstract($x13)))\n│ │ └── PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)\n│ └── Publication($x16)\n├── Or(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus),ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n│ └── ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)\n│ ├── Or(CellPressJournal($x16),ScienceJournal($x16))\n│ └── Or(Not(CellPressJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n├── Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))\n│ ├── Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))\n│ │ ├── Or(Or(Not(EasilyAccepted(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(Prominent(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))),Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)))\n│ │ │ ├── Or(Or(Or(Not(EasilyAccepted($x115)),Not(Prominent($x115))),Not(Publication($x115))),Not(PublishedIn($x115,thisLab)))\n│ │ │ └── PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)\n│ │ └── Publication($x16)\n│ └── Or(Not(ScienceJournal($x16)),Prominent($x16))\n│ ├── Or(Or(Not(PublishedIn($x16,thisLab)),Not(ScienceJournal($x16))),Prominent($x16))\n│ │ ├── Or(Or(Or(Not(Publication($x19)),Not(PublishedIn($x19,thisLab))),Not(ScienceJournal($x19))),Prominent($x19))\n│ │ └── Publication($x16)\n│ └── PublishedIn($x16,thisLab)\n└── Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview)\n ├── Or(Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab)),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview))\n │ ├── Or(Or(Not(Publication(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),Not(PublishedIn(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,thisLab))),Require(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus,peerReview))\n │ │ ├── Or(Or(Or(Not(Publication($x112)),Not(PublishedIn($x112,thisLab))),Not(ScienceJournal($x112))),Require($x112,peerReview))\n │ │ └── ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)\n │ │ ├── Or(CellPressJournal($x16),ScienceJournal($x16))\n │ │ └── Or(Not(CellPressJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus)),ScienceJournal(provisionOfHighMeatContentFoodAndObjectPlayReducePredationOfWildAnimalsByDomesticCatsFelisCatus))\n │ └── Publication($x16)\n └── PublishedIn($x16,thisLab)\n']" 310,"If you have symptoms of COVID-19, you should not participate in social events. Fever is a symptom of COVID-19. You should not go to parties if you cannot participate in social events. If tested negative, you can go to parties. Tom does not test negative or have a fever. If Tom does not test negative, he cannot participate in social events.","Tom has symptoms of COVID-19. Tom neither can participate in social events nor has a fever. If Tom does not have a fever, he can participate in social events.","U T F","∀x ∀y (SymptomOf(x, cOVID-19) ∧ Have(y, x) → ¬ParticipateIn(x, socialEvents)) ∀x ∀y (Have(x, fever) → SymptomOf(x, cOVID-19) ∧ Have(y, x)) ∀x (¬ParticipateIn(x, socialEvents) → ¬GoTo(x, parties)) ∀x (Tested(x, negative) → ¬GoTo(x, parties)) ¬Tested(tom, negative) ∧ ¬Have(tom, fever) ¬Tested(tom, negative) → ¬ParticipateIn(tom, socialEvents)","∀x (SymptomOf(x, cOVID-19) ∧ Have(tom, x)) ¬GoTo(tom, parties) ∧ ¬Have(tom, fever) ¬Have(tom, fever) → GoTo(tom, parties)","['Not found', 'And(Not(GoTo(tom,parties)),Not(Have(tom,fever)))\n├── Not(GoTo(tom,parties))\n│ ├── Or(Not(GoTo($x112,parties)),Not(Tested($x112,negative)))\n│ └── Or(Not(GoTo(tom,parties)),Tested(tom,negative))\n│ ├── Or(Not(GoTo($x19,parties)),ParticipateIn($x19,socialEvents))\n│ └── Or(Not(ParticipateIn(tom,socialEvents)),Tested(tom,negative))\n└── Not(Have(tom,fever))\n', 'Not(Implies(Not(Have(tom,fever)),GoTo(tom,parties)))\n├── Not(GoTo(tom,parties))\n│ ├── Or(Not(GoTo($x112,parties)),Not(Tested($x112,negative)))\n│ └── Or(Not(GoTo(tom,parties)),Tested(tom,negative))\n│ ├── Or(Not(GoTo($x19,parties)),ParticipateIn($x19,socialEvents))\n│ └── Or(Not(ParticipateIn(tom,socialEvents)),Tested(tom,negative))\n└── Not(Have(tom,fever))\n']" 404,"There is no resident of Book City who has time allocated to read but doesn't have a reading habit. All residents of Book City who care about learning new knowledge have time allocated to read. All residents of Book City who are humble about their knowledge care about learning new knowledge. All residents of Book City are humble about what they know or confident about their knowledge. If Mary, a resident of Book City, isn't humble about her knowledge and doesn't have a reading habit, then she isn't humble about her knowledge.","Mary has time allocated to read. Mary is humble about what she knows and confident about what she knows. Mary is either humble about what she knows or confident about what she knows.","U F T","¬(∃x (In(x, bookCity) ∧ HaveTimeFor(x, reading) ∧ ¬Have(x, readingHabit))) ∀x ((CareAboutLearning(x, newKnowledge) ∧ In(x, bookCity)) → HaveTimeFor(x, reading))) ∀x ((HumbleAbout(x, theirKnowledge) ∧ In(x, bookCity)) → CareAboutLearning(x, newKnowledge)) ∀x (In(x, bookCity) → (HumbleAbout(x, theirKnowledge) ∨ ConfidentAbout(x, theirKnowledge))) (In(mary, bookCity) ∧ (¬(HumbleAbout(mary, theirKnowledge) ∧ ReadingHabit(mary)))) → ¬HumbleAbout(mary, theirKnowledge)","HaveTimeFor(x, reading) HumbleAbout(mary, theirKnowledge) ∨ ConfidentAbout(mary, theirKnowledge) HumbleAbout(mary, theirKnowledge) ⊕ ConfidentAbout(mary, theirKnowledge)","['Not found', 'Not found', 'Not found']" 452,"All aliens are extraterrestrials. If someone is from Mars, then they are an alien. No extraterrestrials are human. All highly intelligent beings from Earth are humans. Marvin is a highly intelligent being. Marvin is either from Earth and from Mars, or he is from neither. If Marvin is not from Earth, then Marvin is an extraterrestrial.","Marvin is an alien. Marvin is neither a human nor from Mars. If Marvin is not from Mars, then Marvin is a human.","U T F","∀x (Alien(x) → Extraterrestrial(x)) ∀x (From(x, mars) → Alien(x)) ∀x (Extraterrestrial(x) → ¬Human(x)) ∀x (HighlyIntelligentBeing(x) ∧ From(x, earth) → Human(x)) HighlyIntelligentBeing(marvin) ¬(From(marvin, earth) ⊕ From(marvin, mars)) ¬From(marvin, earth) → Extraterrestrial(marvin)","Alien(marvin) ¬Human(marvin) ∧ ¬From(marvin, mars) ¬From(marvin, mars) → Human(marvin)","['Not found', 'And(Not(Human(marvin)),Not(From(marvin,mars)))\n├── Not(From(marvin,mars))\n│ ├── HighlyIntelligentBeing(marvin)\n│ └── Or(Not(From(marvin,mars)),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Alien($x16),Not(From($x16,mars)))\n│ └── Or(Or(Not(Alien(marvin)),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Extraterrestrial($x13),Not(Alien($x13)))\n│ └── Or(Or(Not(Extraterrestrial(marvin)),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n│ └── Or(Or(Human(marvin),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(From(marvin,earth),Not(From(marvin,mars)))\n│ └── Or(Or(Human($x112),Not(From($x112,earth))),Not(HighlyIntelligentBeing($x112)))\n└── Not(Human(marvin))\n ├── Or(Extraterrestrial(marvin),Not(Human(marvin)))\n │ ├── Or(Alien(marvin),Not(Human(marvin)))\n │ │ ├── Or(Alien(marvin),Not(From(marvin,earth)))\n │ │ │ ├── Or(Alien($x16),Not(From($x16,mars)))\n │ │ │ └── Or(From(marvin,mars),Not(From(marvin,earth)))\n │ │ └── Or(From(marvin,earth),Not(Human(marvin)))\n │ │ ├── Or(Extraterrestrial(marvin),From(marvin,earth))\n │ │ └── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n │ └── Or(Extraterrestrial($x13),Not(Alien($x13)))\n └── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n', 'Not(Implies(Not(From(marvin,mars)),Human(marvin)))\n├── Not(From(marvin,mars))\n│ ├── HighlyIntelligentBeing(marvin)\n│ └── Or(Not(From(marvin,mars)),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Alien($x16),Not(From($x16,mars)))\n│ └── Or(Or(Not(Alien(marvin)),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Extraterrestrial($x13),Not(Alien($x13)))\n│ └── Or(Or(Not(Extraterrestrial(marvin)),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n│ └── Or(Or(Human(marvin),Not(From(marvin,mars))),Not(HighlyIntelligentBeing(marvin)))\n│ ├── Or(From(marvin,earth),Not(From(marvin,mars)))\n│ └── Or(Or(Human($x112),Not(From($x112,earth))),Not(HighlyIntelligentBeing($x112)))\n└── Not(Human(marvin))\n ├── Or(Extraterrestrial(marvin),Not(Human(marvin)))\n │ ├── Or(Alien(marvin),Not(Human(marvin)))\n │ │ ├── Or(Alien(marvin),Not(From(marvin,earth)))\n │ │ │ ├── Or(Alien($x16),Not(From($x16,mars)))\n │ │ │ └── Or(From(marvin,mars),Not(From(marvin,earth)))\n │ │ └── Or(From(marvin,earth),Not(Human(marvin)))\n │ │ ├── Or(Extraterrestrial(marvin),From(marvin,earth))\n │ │ └── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n │ └── Or(Extraterrestrial($x13),Not(Alien($x13)))\n └── Or(Not(Extraterrestrial($x19)),Not(Human($x19)))\n']" 351,"All flight destinations from Tweed Airport are in domestic America. No places that do not require a passport for American citizens to visit have Russian as a widely-spoken language. If somewhere is in domestic America, then American citizens don't need a passport to travel there. All Baltic countries have Russian as a widely-spoken language. All places that have many Estonian street signs are Baltic countries. If the place visited by Max is either a flight destination from Tweed Airport or a Baltic country , then the place that Max wants to visit is not a Baltic country.","The place visited by Max is a domestic flight from Tweed Airport. The place visited by Max is a place that has many Estonian street signs. The place visited by Max is not a place that both has many Estonian street signs and is a Baltic country.","U F T","∀x (FlightDestination(x) ∧ From(x, tweedAirport) → In(x, domesticAmerica)) ∀x (¬NeedAPassportToVisit(americanCitizen, x) → ¬RusisanAsWidelySpokenLanguage(x)) ∀x (In(x, domesticAmerica) → ¬NeedAPassportToVisit(americanCitizen, x)) ∀x (BalticCountry(x) → RussianAsWidelySpokenLanguage(x)) ∀x (HasManyEstonianStreetSigns(x) → BalticCountry(x)) (FlightDestination(placeVisitedByMax) ∧ From(placeVisitedByMax, tweedAirport)) ⊕ BalticCountry(placeVisitedByMax) → ¬(FlightDestination(placeVisitedByMax) ∧ From(placeVisitedByMax, tweedAirport))","FlightDestination(placeVisitedByMax) ∧ From(placeVisitedByMax, tweedAirport) HasManyEstonianStreetSigns(placeVisitedByMax) ¬(HasManyEstonianStreetSigns(placeVisitedByMax) ∧ BalticCountry(placeVisitedByMax))","['Not found', 'Not found', 'Not found']" 382,"All people in this midwest town who own horse ranches regularly ride horses for pleasure and sport. All people in this midwest town with a lot of disposable income have a horse ranch. If people in this midwest town compete in horse dressage shows, then they have a lot of disposable income. If people in this midwest town compete in horse dressage shows, then they have invested in high-quality equestrian gear and equipment. If people in this midwest town regularly ride horses for pleasure and sport, then they do not live in cramped residential buildings. Manny is in this midwest town, and she either has a horse ranch and lives in a cramped residential building, or she does neither.","Manny regularly rides horses for pleasure and sport. Manny competes in horse dressage shows and has invested in high-quality equestrian equipment and gear. If Manny either has a horse ranch or competes in horse dressage shows, then Manny has not invested in high-quality equestrian equipment and gear. ","U F T","∀x (InThisMidwestTown(x) ∧ Have(x, horseRanch) → RegularlyRideHorseForPleasure(x)) ∀x (InThisMidwestTown(x) ∧ Have(x, disposableIncome) → Have(x, horseRank)) ∀x (InThisMidwestTown(x) ∧ CompeteIn(x, horseDressageShow) → Have(x, disposableIncome)) ∀x (InThisMidwestTown(x) ∧ CompeteIn(x, horseDressageShow) → InvestedIn(x, equestrianGearAndEquipment)) ∀x (InThisMidwestTown(x) ∧ RegularlyRideHorseForPleasure(x) → ¬LiveIn(x, crampedBuilding)) InThisMidwestTown(manny) ∧ ¬(Have(manny, horseRanch) ⊕ LiveIn(manny, crampedBuilding))","RegularlyRideHorsesForPleasure(manny) CompeteIn(manny, horseDressageShow) ∧ InvestedIn(manny, equestrianGearAndEquipment) ¬(HaveAHorseRanch(manny) ⊕ CompeteIn(manny, horseDressageShow)) → ¬InvestedIn(manny, equestrianGearAndEquipment)","['Not found', 'Not found', 'Not found']" 347,"All mammals are living beings. All elephants are mammals. All baby elephants are elephants. Some baby elephants are sleepy. If Jumbo is a living being, then Jumbo is not both an elephant and a mammal. If Jumbo is sleepy, then Jumbo is either a baby elephant or a mammal.","Jumbo is sleepy. Jumbo is not sleepy. Jumbo is a living being. Jumbo is neither sleepy nor a baby elephant. Jumbo is not sleepy or an elephant.","F T U T T","∀x (Mammal(x) → LivingBeing(x)) ∀x (Elephant(x) → Mammal(x)) ∀x (BabyElephant(x) → Elephant(x)) ∃x (BabyElephant(x) ∧ Sleepy(x)) LivingBeing(jumbo) → ¬(Elephant(jumbo) ∧ Mammal(jumbo)) Sleepy(jumbo) → BabyElephant(jumbo) ⊕ Mammal(jumbo)","Sleepy(jumbo) ¬Sleepy(jumbo) LivingBeing(jumbo) ¬Sleepy(jumbo) ∧ ¬BabyElephant(jumbo)) ¬(Sleepy(jumbo) ⊕ Elephant(jumbo))","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 325,"All professional soccer defenders are professional soccer players. No professional soccer players are professional basketball players. All professional centerbacks are professional soccer defenders. All NBA players are professional basketball players. Stephen Curry is an NBA player.","Stephen Curry is a professional basketball player. Stephen Curry is a professional centerback. Stephen Curry is not a centerback.","U F T","∀x ((Professional(x) ∧ Defender(x)) → (Professional(x) ∧ SoccerPlayer(x))) ∀x ((Professional(x) ∧ SoccerPlayer(x)) → ¬(Professional(x) ∧ BasketballPlayer(x))) ∀x ((Professional(x) ∧ CenterBack(x)) → (Professional(x) ∧ Defender(x)) ∀x (NBAPlayer(x) → (Professional(x) ∧ BasketballPlayer(x))) NBAPlayer(stephenCurry)","Professional(stephenCurry) ∧ BasketballPlayer(stephenCurry) Professional(stephenCurry) ∧ CenterBack(stephenCurry) ¬(Professional(stephenCurry) ∧ CenterBack(stephenCurry))","['And(Professional(stephenCurry),BasketballPlayer(stephenCurry))\n├── BasketballPlayer(stephenCurry)\n│ ├── NBAPlayer(stephenCurry)\n│ └── Or(BasketballPlayer($x112),Not(NBAPlayer($x112)))\n└── Professional(stephenCurry)\n ├── NBAPlayer(stephenCurry)\n └── Or(Not(NBAPlayer($x112)),Professional($x112))\n', 'Or(Not(CenterBack(stephenCurry)),Not(Professional(stephenCurry)))\n├── Or(Not(Defender(stephenCurry)),Not(Professional(stephenCurry)))\n│ ├── Or(Not(Professional(stephenCurry)),Not(SoccerPlayer(stephenCurry)))\n│ │ ├── BasketballPlayer(stephenCurry)\n│ │ │ ├── NBAPlayer(stephenCurry)\n│ │ │ └── Or(BasketballPlayer($x112),Not(NBAPlayer($x112)))\n│ │ └── Or(Or(Not(BasketballPlayer($x16)),Not(Professional($x16))),Not(SoccerPlayer($x16)))\n│ └── Or(Or(Not(Defender($x13)),Not(Professional($x13))),SoccerPlayer($x13))\n└── Or(Or(Defender($x19),Not(CenterBack($x19))),Not(Professional($x19)))\n', 'Or(Not(CenterBack(stephenCurry)),Not(Professional(stephenCurry)))\n├── Or(Not(Defender(stephenCurry)),Not(Professional(stephenCurry)))\n│ ├── Or(Not(Professional(stephenCurry)),Not(SoccerPlayer(stephenCurry)))\n│ │ ├── BasketballPlayer(stephenCurry)\n│ │ │ ├── NBAPlayer(stephenCurry)\n│ │ │ └── Or(BasketballPlayer($x112),Not(NBAPlayer($x112)))\n│ │ └── Or(Or(Not(BasketballPlayer($x16)),Not(Professional($x16))),Not(SoccerPlayer($x16)))\n│ └── Or(Or(Not(Defender($x13)),Not(Professional($x13))),SoccerPlayer($x13))\n└── Or(Or(Defender($x19),Not(CenterBack($x19))),Not(Professional($x19)))\n']" 407,"No touring musicians who perform at the New Haven Symphony Orchestra are permanent members of the orchestra. Musicians who perform at the New Haven Symphony Orchestra are permanent members of an orchestra, or they have temporary roles at the orchestra. All touring musicians who perform at the New Haven Symphony Orchestra have temporary roles at the orchestra. All musicians performing at the New Haven Symphony Orchestra who have temporary roles at the orchestra are interesting soloists. All musicians performing at New Haven Symphony Orchestra who are interesting soloists are capable of attracting audiences. Ryan is performing at New Haven Symphony Orchestra. If Ryan is an interesting soloist and has a temporary role at the orchestra, then he is capable of attracting large audiences if and only if he is a touring soloist musician. ","Ryan is an interesting soloist. Ryan is either a permanent member of an orchestra or a touring soloist musician. Ryan is either a permanent member of an orchestra or has a temporary role at the orchestra.","U T T","∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ TouringMusician(x)) → ¬PermanentMemberOf(x, theOrchestra)) ∀x (PerformAt(x, newHavenSymphonyOrchestra) → (PermanentMemberOf(x, theOrchestra) ∨ HaveTemporaryRoleAt(x, theOrchestra))) ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ TouringMusicians(x)) → HaveTemporaryRoleAt(x, theOrchestra)) ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ HaveTemporaryRoleAt(x, theOrchestra)) → InterestingSoloist(x)) ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ InterestingSoloist(x)) → CapableOfAttractingAudiences(x)) PerformAt(ryan, newHavenSymphonyOrchestra) (InterestingSoloist(ryan) ∧ HaveTemporaryRoleAt(ryan, theOrchestra)) → ¬(TouringMusician(ryan) ⊕ CapableOfAttractingAudiences(ryan))","InterestingSoloist(ryan) (PermanentMemberOf(ryan, orchestra) ⊕ TouringMusician(ryan)) (PermanentMemberOf(ryan, orchestra) ⊕ HaveTemporaryRoleAt(ryan, orchestra))","['Not found', 'Not found', 'Not found']" 346,"All professional athletes spend most of their time on sports. All Olympic gold medal winners are professional athletes. No full-time scientists spend the majority of their time on sports. All Nobel physics laureates are full-time scientists. Amy spends the most time on sports, or Amy is an Olympic gold medal winner. If Amy is not a Nobel physics laureate, then Amy is not an Olympic gold medal winner.","Amy is a professional athlete. Amy is neither a full-time scientist nor an Olympic gold medal winner. If Amy is not an Olympic gold medal winner, then Amy is a Nobel physics laureate.","U T F","∀x (ProfessionalAthlete(x) → SpendOn(x, mostOfTheirTime, sports)) ∀x (OlympicGoldMedalWinner(x) → ProfessionalAthlete(x)) ∀x (FullTimeScientist(x) → ¬SpendOn(x, mostOfTheirTime, sports)) ∀x (NobelPhysicsLaureate(x) → FullTimeScientist(x)) SpendOn(amy, mostOfTheirTime, sports) ∨ OlympicGoldMedalWinner(amy) ¬NobelPhysicsLaureate(amy) → ¬OlympicGoldMedalWinner(amy)","ProfessionalAthlete(amy) ¬(FullTimeScientist(amy) ∨ OlympicGoldMedalWinner(amy)) ¬OlympicGoldMedalWinner(amy) → NobelPhysicsLaureate(amy)","['Not found', 'Not(Or(FullTimeScientist(amy),OlympicGoldMedalWinner(amy)))\n├── Not(FullTimeScientist(amy))\n│ ├── Or(Not(FullTimeScientist($x19)),Not(SpendOn($x19,mostOfTheirTime,sports)))\n│ └── SpendOn(amy,mostOfTheirTime,sports)\n│ ├── Or(Not(ProfessionalAthlete($x13)),SpendOn($x13,mostOfTheirTime,sports))\n│ └── Or(ProfessionalAthlete(amy),SpendOn(amy,mostOfTheirTime,sports))\n│ ├── Or(Not(OlympicGoldMedalWinner($x16)),ProfessionalAthlete($x16))\n│ └── Or(OlympicGoldMedalWinner(amy),SpendOn(amy,mostOfTheirTime,sports))\n└── Not(OlympicGoldMedalWinner(amy))\n ├── Or(Not(OlympicGoldMedalWinner($x16)),ProfessionalAthlete($x16))\n └── Or(Not(OlympicGoldMedalWinner(amy)),Not(ProfessionalAthlete(amy)))\n ├── Or(Not(OlympicGoldMedalWinner(amy)),Not(SpendOn(amy,mostOfTheirTime,sports)))\n │ ├── Or(FullTimeScientist(amy),Not(OlympicGoldMedalWinner(amy)))\n │ │ ├── Or(FullTimeScientist($x112),Not(NobelPhysicsLaureate($x112)))\n │ │ └── Or(NobelPhysicsLaureate(amy),Not(OlympicGoldMedalWinner(amy)))\n │ └── Or(Not(FullTimeScientist($x19)),Not(SpendOn($x19,mostOfTheirTime,sports)))\n └── Or(Not(ProfessionalAthlete($x13)),SpendOn($x13,mostOfTheirTime,sports))\n', 'Not(Implies(Not(OlympicGoldMedalWinner(amy)),NobelPhysicsLaureate(amy)))\n├── Not(NobelPhysicsLaureate(amy))\n│ ├── Not(FullTimeScientist(amy))\n│ │ ├── Or(Not(FullTimeScientist($x19)),Not(SpendOn($x19,mostOfTheirTime,sports)))\n│ │ └── SpendOn(amy,mostOfTheirTime,sports)\n│ │ ├── Or(Not(ProfessionalAthlete($x13)),SpendOn($x13,mostOfTheirTime,sports))\n│ │ └── Or(ProfessionalAthlete(amy),SpendOn(amy,mostOfTheirTime,sports))\n│ │ ├── Or(Not(OlympicGoldMedalWinner($x16)),ProfessionalAthlete($x16))\n│ │ └── Or(OlympicGoldMedalWinner(amy),SpendOn(amy,mostOfTheirTime,sports))\n│ └── Or(FullTimeScientist($x112),Not(NobelPhysicsLaureate($x112)))\n└── Not(OlympicGoldMedalWinner(amy))\n ├── Or(Not(OlympicGoldMedalWinner($x16)),ProfessionalAthlete($x16))\n └── Or(Not(OlympicGoldMedalWinner(amy)),Not(ProfessionalAthlete(amy)))\n ├── Or(Not(OlympicGoldMedalWinner(amy)),Not(SpendOn(amy,mostOfTheirTime,sports)))\n │ ├── Or(FullTimeScientist(amy),Not(OlympicGoldMedalWinner(amy)))\n │ │ ├── Or(FullTimeScientist($x112),Not(NobelPhysicsLaureate($x112)))\n │ │ └── Or(NobelPhysicsLaureate(amy),Not(OlympicGoldMedalWinner(amy)))\n │ └── Or(Not(FullTimeScientist($x19)),Not(SpendOn($x19,mostOfTheirTime,sports)))\n └── Or(Not(ProfessionalAthlete($x13)),SpendOn($x13,mostOfTheirTime,sports))\n']" 436,"All of this brand's products are either produced in China or in the US. All of this brand's products produced in China are labeled. All of this brand's products produced in the US are sold in the US. The products of this brand that are labeled are cheaper. All of this brand's products sold in the US are sold at Walmart. All products of this brand displayed on the homepage are sold at Walmart. None of this brand's products that are returned by customers are sold at Walmart. G-910 is a product of this brand, and it is either displayed on the homepage and is cheaper, or it is neither displayed on the homepage nor is it cheaper.","G-910 is displayed on the homepage. G-910 is not displayed on the homepage. G-910 is a product returned by customers. G-910 is a product returned by customers or sold in Walmart. G-910 is either returned by customers or sold in Walmart.","U U F T T","∀x (ThisBrand(x) ∧ Product(x) → (ProducedIn(x, china) ⊕ ProducedIn(x, uS))) ∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, china)) → Labeled(x)) ∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, us)) → SoldIn(x, us)) ∀x ((ThisBrand(x) ∧ Product(x) ∧ Labeled(x)) → Cheaper(x)) ∀x ((ThisBrand(x) ∧ Product(x) ∧ SoldIn(x, us)) → SoldIn(x, walmart)) ∀x (ThisBrand(x) ∧ Product(x) ∧ DisplayedIn(x, homepage) → SoldIn(x, walmart)) ∀x (ThisBrand(x) ∧ Product(x) ∧ ReturnedBy(x, customer) → ¬SoldIn(x, walmart)) Product(g910) ∧ ThisBrand(g910) ∧ (¬(DisplayedIn(g910, homepage) ⊕ Cheaper(g910)))","DisplayedIn(g910, homepage) ¬DisplayedIn(g910, homepage) ThisBrand(g910) ∧ ReturnedBy(g910, customer) ThisBrand(g910) ∧ (ReturnedBy(g910, customer) ∨ SoldIn(g910, walmart)) ReturnedBy(g910, customer) ⊕ SoldIn(g910, walmart)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 313,"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.","Philip got a Schengen visa. Philip applied for a Schengen visa and got it. If Philip did not request documents from the bank or get a Schengen visa, he didn’t apply for a Schengen visa.","U F T","∃x (Apply(x, schengenVisa) → Get(x, schengenVisa)) ∀x (Apply(x, schengenVisa) → Provide(x, financialGuarantees)) ∀x (Provide(x, financialGuarantees) → Request(x, documentsFromBank)) ∀x (Request(x, documentsFromBank) → ¬Close(x, bankAccount)) Close(philip, bankAccount)","Get(philip, schengenVisa) Apply(philip, schengenVisa) ∧ Get(philip, schengenVisa) (¬Request(philip, documentsFromBank) ∧ ¬Get(x, schengenVisa)) → Apply(x, schengenVisa)","['Not found', 'Or(Not(Apply(philip,schengenVisa)),Not(Get(philip,schengenVisa)))\n└── Not(Apply(philip,schengenVisa))\n ├── Not(Provide(philip,financialGuarantees))\n │ ├── Not(Request(philip,documentsFromBank))\n │ │ ├── Close(philip,bankAccount)\n │ │ └── Or(Not(Close($x112,bankAccount)),Not(Request($x112,documentsFromBank)))\n │ └── Or(Not(Provide($x19,financialGuarantees)),Request($x19,documentsFromBank))\n └── Or(Not(Apply($x16,schengenVisa)),Provide($x16,financialGuarantees))\n', 'Not found']" 355,"All people who eat salads regularly are very conscious about their health and eating habits. All people who grew up in health-conscious childhood homes eat salads regularly. All people who fulfill their daily nutritional intakes grew up in health-conscious childhood homes. All people who disregard their physical well-being are not very conscious about their health and eating habits. If people visit the gym at least once a day, then they always fulfill their daily nutritional intakes. Taylor either grew up in a health-conscious childhood home and disregard her physical well-being, or she did neither.","Taylor eats salads regularly. Taylor visits the gym at least once a day. Taylor neither grew up in a health-conscious childhood home nor does she visit the gym at least once a day.","U F T","∀x (RegularlyEat(x, salad) → ConsciousAbout(x, health) ∧ ConsciousAbout(x, eatinggHabit)) ∀x (GrewUpIn(x, health-consciousChildhoodHome) → RegularlyEat(x, salad)) ∀x (Fulfill(x, dailyNutritionalIntake) → GrewUpIn(x, health-consciousChildhoodHome)) ∀x (Disregard(x, physicalWellbeing) → ¬(ConsciousAbout(x, health) ∧ ConsciousAbout(x, eatingHabit))) ∀x (VisitDaily(x, gym) → Fulfill(x, dailyNutritionalIntake)) ¬(GrowUpIn(taylor, health-consciousChildhoodHome) ⊕ Disregard(taylor, physicalWellbeing))","RegularlyEat(taylor, salad) VisitDaily(taylor, gym) ¬GrowUpIn(taylor, health-consciousChildhoodHome) ∧ ¬VisitDaily(taylor, gym))","['Not found', 'Not found', 'Not found']" 481,"All biodegradable things are environment-friendly. All woodware is biodegradable. All paper is woodware. Nothing is a good thing and also a bad thing. All environment-friendly things are good. A worksheet is either paper or environment-friendly.","A worksheet is biodegradable. A worksheet is not biodegradable. A worksheet is bad. A worksheet is not bad.","U U F T","∀x (Biodegradable(x) → EnvironmentFriendly(x)) ∀x (Woodware(x) → Biodegradable(x)) ∀x (Paper(x) → Woodware(x)) ¬(∃x (Good(x) ∧ Bad(x))) ∀x (EnvironmentFriendly(x) → Good(x)) Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)","Bioegradable(worksheet) ¬Bioegradable(worksheet) Bad(worksheet) ¬Bad(worksheet)","['Not found', 'Not found', 'Not(Bad(worksheet))\n├── Good(worksheet)\n│ ├── EnvironmentFriendly(worksheet)\n│ │ ├── Or(Biodegradable(worksheet),EnvironmentFriendly(worksheet))\n│ │ │ ├── Or(Biodegradable($x16),Not(Woodware($x16)))\n│ │ │ └── Or(EnvironmentFriendly(worksheet),Woodware(worksheet))\n│ │ │ ├── Or(EnvironmentFriendly(worksheet),Paper(worksheet))\n│ │ │ └── Or(Not(Paper($x19)),Woodware($x19))\n│ │ └── Or(EnvironmentFriendly($x13),Not(Biodegradable($x13)))\n│ └── Or(Good($x115),Not(EnvironmentFriendly($x115)))\n└── Or(Not(Bad($x112)),Not(Good($x112)))\n', 'Not(Bad(worksheet))\n├── Good(worksheet)\n│ ├── EnvironmentFriendly(worksheet)\n│ │ ├── Or(Biodegradable(worksheet),EnvironmentFriendly(worksheet))\n│ │ │ ├── Or(Biodegradable($x16),Not(Woodware($x16)))\n│ │ │ └── Or(EnvironmentFriendly(worksheet),Woodware(worksheet))\n│ │ │ ├── Or(EnvironmentFriendly(worksheet),Paper(worksheet))\n│ │ │ └── Or(Not(Paper($x19)),Woodware($x19))\n│ │ └── Or(EnvironmentFriendly($x13),Not(Biodegradable($x13)))\n│ └── Or(Good($x115),Not(EnvironmentFriendly($x115)))\n└── Or(Not(Bad($x112)),Not(Good($x112)))\n']" 478,"If an animal in the lab is cute, then it is not a pig. All baby animals in the lab are cute. An animal in the lab is either a pig or a sheep. If an animal in the lab has curly hair, then it is a sheep. No mice are sheep. Waldo is an animal in the lab; Waldo is either a baby animal, or he has curly hair, or neither is true. Murphy is an animal in the lab, and is either both a sheep and a mouse, or is neither. ","Waldo is cute. Waldo is not cute. Murphy is a baby animal or has curly hair. Murphy neither is a baby animal nor has curly hair.","U U F T","∀x (Animal(x) ∧ InTheLab(x) ∧ Cute(x) → ¬Pig(x)) ∀x (Animal(x) ∧ InTheLab(x) ∧ Baby(x) → Cute(x)) ∀x (Animal(x) ∧ InTheLab(x) → Pig(x) ⊕ Sheep(x)) ∀x (Animal(x) ∧ InTheLab(x) ∧ Have(x, curlyHair) → Sheep(x)) ∀x (Mouse(x) → ¬Sheep(x)) Animal(waldo) ∧ InTheLab(waldo) ∧ ¬(Baby(waldo) ∧ Have(waldo, curlyHair)) Animal(murphy) ∧ InTheLab(murphy) ∧ ¬(Sheep(murphy) ⊕ Boy(murphy))","Cute(waldo) ¬Cute(waldo) Baby(murphy) ∨ Have(murphy, curlyHair) ¬Baby(murphy) ∧ ¬Have(murphy, curlyHair)","['Not found', 'Not found', 'Not found', 'Not found']" 465,"Everyone who took the bar exam can read. All lawyers took the bar exam. Everyone who took the bar exam is knowledgeable about criminal procedures. All people who got a score of 180 on the LSAT can read. No elephants can read. If Mike can not read or is not an elephant, then Mike either took the bar exam or can read. ","Mike got 180 on the LSAT. Mike did not take the bar exam and is not both knowledgeable about criminal procedures and someone who got 180 on the LSAT. Mike took the bar exam.","U T F","∀x (Take(x, barExam) → CanRead(x)) ∀x (Lawyer(x) → Take(x, barExam)) ∀x (Take(x, barExam) → KnowledgeableAbout(x, criminalProceeder)) ∀x (GetOn(x, scoreOf180, lSAT) → CanRead(x)) ∀x (Elephant(x) → ¬CanRead(x)) ¬(CanRead(mike) ∧ Elephant(mike)) → Take(mike, barExam) ⊕ CanRead(mike)","GetOn(mike, 180, lSAT) ¬Take(mike, barExam) ∧ ¬(KnowledgeableAbout(mike, criminalProcedures)∧ GetOn(mike, 180, lSAT)) Take(mike, barExam)","['Not found', 'Not(Take(mike,barExam))\n├── Or(CanRead($x13),Not(Take($x13,barExam)))\n└── Or(Not(CanRead(mike)),Not(Take(mike,barExam)))\n ├── Or(Elephant(mike),Not(Take(mike,barExam)))\n │ ├── Or(CanRead($x13),Not(Take($x13,barExam)))\n │ └── Or(Or(Elephant(mike),Not(CanRead(mike))),Not(Take(mike,barExam)))\n └── Or(Not(CanRead($x115)),Not(Elephant($x115)))\n', 'Not(Take(mike,barExam))\n├── Or(CanRead($x13),Not(Take($x13,barExam)))\n└── Or(Not(CanRead(mike)),Not(Take(mike,barExam)))\n ├── Or(Elephant(mike),Not(Take(mike,barExam)))\n │ ├── Or(CanRead($x13),Not(Take($x13,barExam)))\n │ └── Or(Or(Elephant(mike),Not(CanRead(mike))),Not(Take(mike,barExam)))\n └── Or(Not(CanRead($x115)),Not(Elephant($x115)))\n']" 314,"No animals are plants. All humans are animals. All pupils are humans. All flowers are plants. Bailey is either both a human and a flower or neither a human nor a flower.","Bailey is a pupil. Bailey is not a pupil. Bailey is a plant. If Bailey is a human, then Bailey is not a pupil.","F T U T","∀x (Animal(x) → ¬Plant(x)) ∀x (Human(x) → Animal(x)) ∀x (Pupil(x) → Human(x)) ∀x (Flower(x) → Plant(x)) ¬(Human(bailey) ⊕ Flower(bailey))","Pupil(bailey) ¬Pupil(bailey) Plant(bailey) Human(bailey) → ¬Pupil(bailey)","['Not(Pupil(bailey))\n├── Or(Human($x19),Not(Pupil($x19)))\n└── Or(Not(Human(bailey)),Not(Pupil(bailey)))\n ├── Or(Animal($x16),Not(Human($x16)))\n └── Or(Not(Animal(bailey)),Not(Pupil(bailey)))\n ├── Or(Not(Animal($x13)),Not(Plant($x13)))\n └── Or(Not(Pupil(bailey)),Plant(bailey))\n ├── Or(Flower(bailey),Not(Pupil(bailey)))\n │ ├── Or(Flower(bailey),Not(Human(bailey)))\n │ └── Or(Human($x19),Not(Pupil($x19)))\n └── Or(Not(Flower($x112)),Plant($x112))\n', 'Not(Pupil(bailey))\n├── Or(Human($x19),Not(Pupil($x19)))\n└── Or(Not(Human(bailey)),Not(Pupil(bailey)))\n ├── Or(Animal($x16),Not(Human($x16)))\n └── Or(Not(Animal(bailey)),Not(Pupil(bailey)))\n ├── Or(Not(Animal($x13)),Not(Plant($x13)))\n └── Or(Not(Pupil(bailey)),Plant(bailey))\n ├── Or(Flower(bailey),Not(Pupil(bailey)))\n │ ├── Or(Flower(bailey),Not(Human(bailey)))\n │ └── Or(Human($x19),Not(Pupil($x19)))\n └── Or(Not(Flower($x112)),Plant($x112))\n', 'Not found', 'Or(Not(Human(bailey)),Not(Pupil(bailey)))\n├── Or(Animal($x16),Not(Human($x16)))\n└── Or(Not(Animal(bailey)),Not(Pupil(bailey)))\n ├── Or(Not(Animal($x13)),Not(Plant($x13)))\n └── Or(Not(Pupil(bailey)),Plant(bailey))\n ├── Or(Flower(bailey),Not(Pupil(bailey)))\n │ ├── Or(Flower(bailey),Not(Human(bailey)))\n │ └── Or(Human($x19),Not(Pupil($x19)))\n └── Or(Not(Flower($x112)),Plant($x112))\n']" 320,"All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.","Arthritis can be treated at home. Arthritis is colorectal cancer. Arthritis is not colorectal cancer. Arthritis is colorectal cancer or has mutations. Arthritis is colorectal cancer and a cancer. If arthritis is not colorectal cancer, then arthritis has mutations.","U F T F F F","∀x (Cancer(x) → Have(x, mutation)) ∀x (Have(x, mutation) → ¬CanBeTreatedAtHome(x)) ∀x (ColorectalCancer(x) → Cancer(x)) ∀x (Cold(x) → CanBeTreatedAtHome(x)) ¬(Cold(arthritis) ⊕ Have(arthritis, mutation))","CanBeTreatedAtHome(arthritis) ColorectalCancer(arthritis) ¬ColorectalCancer(arthritis) ColorectalCancer(arthritis) ∨ Have(arthritis, mutation) ColorectalCancer(arthritisr) ∧ Cancer(arthritis) ¬ColorectalCancer(arthritis) → Have(arthritis, mutation)","['Not found', 'Not(ColorectalCancer(arthritis))\n├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n└── Or(Not(Cancer(arthritis)),Not(ColorectalCancer(arthritis)))\n ├── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(ColorectalCancer(arthritis)),Not(Have(arthritis,mutation)))\n ├── Or(CanBeTreatedAtHome(arthritis),Not(ColorectalCancer(arthritis)))\n │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n │ └── Or(Cold(arthritis),Not(ColorectalCancer(arthritis)))\n │ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n │ └── Or(Cold(arthritis),Not(Cancer(arthritis)))\n │ ├── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n │ └── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n', 'Not(ColorectalCancer(arthritis))\n├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n└── Or(Not(Cancer(arthritis)),Not(ColorectalCancer(arthritis)))\n ├── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(ColorectalCancer(arthritis)),Not(Have(arthritis,mutation)))\n ├── Or(CanBeTreatedAtHome(arthritis),Not(ColorectalCancer(arthritis)))\n │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n │ └── Or(Cold(arthritis),Not(ColorectalCancer(arthritis)))\n │ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n │ └── Or(Cold(arthritis),Not(Cancer(arthritis)))\n │ ├── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n │ └── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n', 'Not(Or(ColorectalCancer(arthritis),Have(arthritis,mutation)))\n├── Not(ColorectalCancer(arthritis))\n│ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n│ └── Or(Not(Cancer(arthritis)),Not(ColorectalCancer(arthritis)))\n│ ├── Or(Have($x13,mutation),Not(Cancer($x13)))\n│ └── Or(Not(ColorectalCancer(arthritis)),Not(Have(arthritis,mutation)))\n│ ├── Or(CanBeTreatedAtHome(arthritis),Not(ColorectalCancer(arthritis)))\n│ │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n│ │ └── Or(Cold(arthritis),Not(ColorectalCancer(arthritis)))\n│ │ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n│ │ └── Or(Cold(arthritis),Not(Cancer(arthritis)))\n│ │ ├── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n│ │ └── Or(Have($x13,mutation),Not(Cancer($x13)))\n│ └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n└── Not(Have(arthritis,mutation))\n ├── Or(CanBeTreatedAtHome(arthritis),Not(Have(arthritis,mutation)))\n │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n │ └── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n', 'Or(Not(Cancer(arthritis)),Not(ColorectalCancer(arthritisr)))\n└── Not(Cancer(arthritis))\n ├── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(Cancer(arthritis)),Not(Have(arthritis,mutation)))\n ├── Or(CanBeTreatedAtHome(arthritis),Not(Cancer(arthritis)))\n │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n │ └── Or(Cold(arthritis),Not(Cancer(arthritis)))\n │ ├── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n │ └── Or(Have($x13,mutation),Not(Cancer($x13)))\n └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n', 'Not(Implies(Not(ColorectalCancer(arthritis)),Have(arthritis,mutation)))\n├── Not(ColorectalCancer(arthritis))\n│ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n│ └── Or(Not(Cancer(arthritis)),Not(ColorectalCancer(arthritis)))\n│ ├── Or(Have($x13,mutation),Not(Cancer($x13)))\n│ └── Or(Not(ColorectalCancer(arthritis)),Not(Have(arthritis,mutation)))\n│ ├── Or(CanBeTreatedAtHome(arthritis),Not(ColorectalCancer(arthritis)))\n│ │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n│ │ └── Or(Cold(arthritis),Not(ColorectalCancer(arthritis)))\n│ │ ├── Or(Cancer($x19),Not(ColorectalCancer($x19)))\n│ │ └── Or(Cold(arthritis),Not(Cancer(arthritis)))\n│ │ ├── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n│ │ └── Or(Have($x13,mutation),Not(Cancer($x13)))\n│ └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n└── Not(Have(arthritis,mutation))\n ├── Or(CanBeTreatedAtHome(arthritis),Not(Have(arthritis,mutation)))\n │ ├── Or(CanBeTreatedAtHome($x112),Not(Cold($x112)))\n │ └── Or(Cold(arthritis),Not(Have(arthritis,mutation)))\n └── Or(Not(CanBeTreatedAtHome($x16)),Not(Have($x16,mutation)))\n']" 442,"All Brown Swiss cattle are cows. Some pets are Brown Swiss Cattle. All cows are domesticated animals. Alligators are not domesticated animals. Ted is an alligator.","Ted is a pet. Ted is a pet and Brown Swiss cattle If Ted is a Brown Swiss cattle, then Ted is not a pet.","U F T","∀x (BrownSwissCattle(x) → Cow(x)) ∃x (Pet(x) ∧ BrownSwissCattle(x)) ∀x (Cow(x) → DomesticatedAnimal(x)) ∀x (Aligator(x) → ¬DomesticatedAnimal(x)) Aligator(ted)","Pet(ted) Pet(ted) ∧ BrownSwissCattle(ted) BrownSwissCattle(ted) → ¬Pet(ted)","['Not found', 'Or(Not(BrownSwissCattle(ted)),Not(Pet(ted)))\n└── Not(BrownSwissCattle(ted))\n ├── Not(Cow(ted))\n │ ├── Not(DomesticatedAnimal(ted))\n │ │ ├── Aligator(ted)\n │ │ └── Or(Not(Aligator($x112)),Not(DomesticatedAnimal($x112)))\n │ └── Or(DomesticatedAnimal($x19),Not(Cow($x19)))\n └── Or(Cow($x13),Not(BrownSwissCattle($x13)))\n', 'Or(Not(BrownSwissCattle(ted)),Not(Pet(ted)))\n└── Not(BrownSwissCattle(ted))\n ├── Not(Cow(ted))\n │ ├── Not(DomesticatedAnimal(ted))\n │ │ ├── Aligator(ted)\n │ │ └── Or(Not(Aligator($x112)),Not(DomesticatedAnimal($x112)))\n │ └── Or(DomesticatedAnimal($x19),Not(Cow($x19)))\n └── Or(Cow($x13),Not(BrownSwissCattle($x13)))\n']" 308,"No video games released by Nintendo support the PS4 platform. All video games in the Pokemon series are released by Nintendo. All video games in the FIFA series support the PS4 platform. All video games that allow users to simulate playing online soccer using licensed players are in the FIFA series. The video game named “Be Lionel” is in the Pokemon series, or it allows users to simulate playing online soccer games using licensed players.","The video game ""Be Lionel"" is in the pokemon series. The video game named “Be Lionel” either is in the FIFA series and supports the PS4 platform, or it neither is in the FIFA series nor supports the PS4 platform. The video game named “Be Lionel” is either in the FIFA series or supports the PS4 platform. The video game named “Be Lionel” is not in the FIFA or Pokemon series. ","U T F F","∀x (VideoGame(x) ∧ ReleasedBy(x, nintendo) → ¬Support(x, pS4)) ∀x (VideoGame(x) ∧ In(x, pokemonSeries) → ReleasedBy(x, nintendo)) ∀x (VideoGame(x) ∧ In(x, fIFASeries) → Support(x, pS4)) ∀x (VideoGame(x) ∧ Simulate(x, onlineSoccer) ∧ Use(x, licensedPlayer) → In(x, fIFASeries)) VideoGame(beLionel) ∧ In(beLionel, pokemonSeries) ∨ (Simulate(beLionel, onlineSoccer) ∧ Use(beLionel, licensedPlayer))","VideoGame(beLionel) ∧ PokemonSeries(beLionel) VideoGame(beLionel) ∧ ¬(FIFASeries(beLionel) ⊕ Support(beLionel, pS4)) VideoGame(beLionel) ∧ FIFASeries(beLionel) ⊕ Support(beLionel, pS4) VideoGame(beLionel) ∧ ¬(FIFASeries(beLionel) ∨ Support(beLionel, pS4))","['Not found', 'Not found', 'Not found', 'Not found']" 326,"Some soccer defenders are center-backs. All soccer defenders are soccer players. No soccer players are professional basketball players. All NBA players are professional basketball players. Stephen Curry is an NBA player.","Stephen Curry is a center-back. Stephen Curry is not both a centerback and a soccer defender. If Stephen Curry is not both a centerback and a soccer defender, then Stephen Curry is neither a soccer player nor a professional basketball player.","U F T","∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x)) ∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x)) ∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))) ∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x)) NBAPlayer(stephencurry)","ProfessionalCenterback(stephenCurry) ¬(ProfessionalCenterback(stephenCurry) ∧ ProfessionalSoccerDefender(stephenCurry)) ¬(Centerback(stephenCurry) ∧ SoccerDefender(stephenCurry)) → ¬(SoccerPlayer(stephenCurry) ∨ ProfessionalBasketballPlayer(stephenCurry))","['Not found', 'Not found', 'Not found']" 350,"All of Zaha Hadid's design styles that Max adores have interesting geometries. No brutalist buildings that Max adores have interesting geometries. Every style that Max adores is either Zaha Hadid's design style or Kelly Wearstler's design style. All of Kelly Wearstler's design styles that Max adores are evocative. All of Kelly Wearstler's design styles that Max adores are dreamy. If a design by Max that he adores has interesting geometries, then the design is a brutalist building and evocative.","A design by Max is a brutalist building. A design by Max is evocative and dreamy. A design by Max is either evocative or dreamy.","U T F","∀x (Adore(max, x) ∧ ZahaHadid(x) ∧ DesignStyle(x) → InterestingGeometry(x)) ∀x (Adore(max, x) ∧ BrutalistBuilding(x) → ¬InterestingGeometry(x)) ∀x (Adore(max, x) → ((ZahaHadid(x) ∧ DesignStyle(x)) ⊕ (KellyWearstler(x) ∧ DesignStyle(x))) ∀x (Adore(max, x) ∧ KellyWearstler(x) ∧ DesignStyle(x) → Evocative(x)) ∀x (Adore(max, x) ∧ KellyWearstler(x) ∧ DesignStyle(x) → Dreamy(x)) ∃x (Adore(max, x) ∧ Design(x) ∧ ByMax(x) ∧ InterestingGeometry(x) → BrutalistBuilding(x) ∧ Evocative(x))","∃x (Design(x) ∧ ByMax(x) ∧ BrutalistBuilding(x)) ∃x (Design(x) ∧ ByMax(x) ∧ Evocative(x) ∧ Dreamy(x)) ∃x (Design(x) ∧ ByMax(x) ∧ (Evocative(x) ⊕ Dreamy(x)))","['Not found', 'Not found', 'Not found']" 410,"All products designed by Apple are sold at Apple Stores. All products with Apple logos are designed by Apple. All Macbooks have Apple logos. All products with Apple M2 chips are Mackbooks. A Thinkpad X1 is not both sold in Apple Stores and is a Macbook.","The Thinkpad X1 has an Apple M2 chip. The Thinkpad X1 is sold in Apple Stores. The Thinkpad X1 has an Apple M2 chip and is a Macbook. The Thinkpad X1 either has an Apple M2 chip or is a Macbook. If the Thinkpad X1 has an Apple M2 chip and is a Macbook, then it neither has an Apple M2 chip nor is sold in Apple Stores.","F U F F T","∀x ((Product(x) ∧ DesignedBy(x, apple)) → SoldIn(x, appleStore)) ∀x ((Product(x) ∧ With(x, appleLogo)) → DesignedBy(x, apple)) ∀x (Macbook(x) → With(x, appleLogo)) ∀x ((Product(x) ∧ With(x, appleM2Chip)) → Macbook(x)) ¬(SoldIn(thinkpadX1, appleStore) ∧ Macbook(thinkpadX1))","With(thinkpadX1, appleM2Chip) SoldIn(thinkpadX1, appleStore) With(thinkpadX1, appleM2Chip) ∧ Macbook(thinkpadX1) With(thinkpadX1, appleM2Chip)) ⊕ Macbook(thinkpadX1) (With(thinkpadX1, appleM2Chip) ∧ Macbook(thinkpadX1)) → ¬(With(thinkpadX1, appleM2Chip) ∨ SoldIn(thinkpadX1, appleStore))","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 471,"All rabbits that can be spotted near the campus are cute. Some turtles can be spotted near the campus. The only animals that can be spotted near the campus are rabbits and squirrels. If something is skittish, then it is not calm. All the squirrels that can be spotted near the campus are skittish. Rockie can be spotted near the campus, and it is calm.","Rockie is a turtle. Rockie is not a turtle. Rockie is a turtle or cute. If Rockie is not both a turtle and a squirrel, then Rockie is either cute or skittish. If Rockie is cute and calm, then Rockie is a skittish turtle. ","U U T T F","∀x (Rabbit(x) ∧ CanBeSpottedNear(x, campus) → Cute(x)) ∃x (Turtle(x) ∧ CanBeSpottedNear(x, campus)) ∀x (CanBeSpottedNear(x, campus) → (Rabbit(x) ⊕ Squirrel(x))) ∀x (Skittish(x) → ¬Calm(x)) ∀x (Squirrel(x) ∧ CanBeSpottedNear(x, campus) → Skittish(x)) CanBeSpottedNear(rockie, campus) ∧ Calm(rockie) ","Turtle(rockie) ¬Turtle(rockie) Turtle(rockie) ∨ Cute(rockie) ¬(Turtle(rockie) ∧ Squirrel(rockie)) → Cute(rockie) ⊕ Skittish(rockie) Cute(rockie) ∧ Calm(rockie) → Turtle(rockie) ∧ Skittish(rockie)","['Not found', 'Not found', 'Or(Cute(rockie),Turtle(rockie))\n└── Cute(rockie)\n ├── Calm(rockie)\n └── Or(Cute(rockie),Not(Calm(rockie)))\n ├── CanBeSpottedNear(rockie,campus)\n └── Or(Or(Cute($x19),Not(Calm($x19))),Not(CanBeSpottedNear($x19,campus)))\n ├── Or(Not(Calm($x112)),Not(Skittish($x112)))\n └── Or(Or(Cute($x19),Not(CanBeSpottedNear($x19,campus))),Skittish($x19))\n ├── Or(Or(Cute($x13),Not(CanBeSpottedNear($x13,campus))),Not(Rabbit($x13)))\n └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Skittish($x19))\n ├── Or(Or(Not(CanBeSpottedNear($x115,campus)),Not(Squirrel($x115))),Skittish($x115))\n └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Squirrel($x19))\n', 'Implies(Not(And(Turtle(rockie),Squirrel(rockie))),And(Or(Cute(rockie),Skittish(rockie)),Not(And(Cute(rockie),Skittish(rockie)))))\n├── Or(Or(Cute(rockie),Skittish(rockie)),Squirrel(rockie))\n│ └── Or(Cute(rockie),Skittish(rockie))\n│ ├── CanBeSpottedNear(rockie,campus)\n│ └── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Skittish(rockie))\n│ ├── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Not(Rabbit(rockie)))\n│ │ ├── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Squirrel(rockie))\n│ │ │ ├── Or(Cute(rockie),Not(Rabbit(rockie)))\n│ │ │ │ ├── CanBeSpottedNear(rockie,campus)\n│ │ │ │ └── Or(Or(Cute($x13),Not(CanBeSpottedNear($x13,campus))),Not(Rabbit($x13)))\n│ │ │ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Squirrel($x19))\n│ │ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Not(Rabbit($x19))),Not(Squirrel($x19)))\n│ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Skittish($x19))\n│ ├── Or(Or(Not(CanBeSpottedNear($x115,campus)),Not(Squirrel($x115))),Skittish($x115))\n│ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Squirrel($x19))\n├── Or(Or(Cute(rockie),Skittish(rockie)),Turtle(rockie))\n│ └── Or(Cute(rockie),Skittish(rockie))\n│ ├── CanBeSpottedNear(rockie,campus)\n│ └── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Skittish(rockie))\n│ ├── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Not(Rabbit(rockie)))\n│ │ ├── Or(Or(Cute(rockie),Not(CanBeSpottedNear(rockie,campus))),Squirrel(rockie))\n│ │ │ ├── Or(Cute(rockie),Not(Rabbit(rockie)))\n│ │ │ │ ├── CanBeSpottedNear(rockie,campus)\n│ │ │ │ └── Or(Or(Cute($x13),Not(CanBeSpottedNear($x13,campus))),Not(Rabbit($x13)))\n│ │ │ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Squirrel($x19))\n│ │ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Not(Rabbit($x19))),Not(Squirrel($x19)))\n│ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Skittish($x19))\n│ ├── Or(Or(Not(CanBeSpottedNear($x115,campus)),Not(Squirrel($x115))),Skittish($x115))\n│ └── Or(Or(Not(CanBeSpottedNear($x19,campus)),Rabbit($x19)),Squirrel($x19))\n├── Or(Or(Not(Cute(rockie)),Not(Skittish(rockie))),Squirrel(rockie))\n│ └── Not(Skittish(rockie))\n│ ├── Calm(rockie)\n│ └── Or(Not(Calm($x112)),Not(Skittish($x112)))\n└── Or(Or(Not(Cute(rockie)),Not(Skittish(rockie))),Turtle(rockie))\n └── Not(Skittish(rockie))\n ├── Calm(rockie)\n └── Or(Not(Calm($x112)),Not(Skittish($x112)))\n', 'Not(And(Cute(rockie),Implies(Calm(rockie),And(Turtle(rockie),Skittish(rockie)))))\n├── Or(Calm(rockie),Not(Cute(rockie)))\n│ └── Calm(rockie)\n└── Or(Or(Not(Cute(rockie)),Not(Skittish(rockie))),Not(Turtle(rockie)))\n └── Not(Skittish(rockie))\n ├── Calm(rockie)\n └── Or(Not(Calm($x112)),Not(Skittish($x112)))\n']" 311,"No payment cards issued by Russian banks can be used with ApplePay. All MIR payment cards are issued by Russian banks. Some international payment cards can be used with ApplePay. Social payments in Russia can only be transferred to MIR payment cards. Bank of America payment cards can be used with ApplePay.","Bank of America payment cards are international. Bank of America payment cards are international and can be used to transfer social payments in Russia. If Bank of America payment cards are international and can be used to transfer social payments in Russia, then they are international.","U F T","∀x ∀y (PaymentCard(x) ∧ RussianBank(y) ∧ IssuedBy(x, y) → ¬UsedWith(x, applePay)) ∀x ∀y (PaymentCard(x) ∧ MIR(x) → RussianBank(y) ∧ IssuedBy(x, y)) ∃x (PaymentCard(x) ∧ International(x) → UsedWith(x, applePay)) ∀x ∀y (SocialPayment(x) ∧TransferredTo(x, y) → PaymentCard(y) ∧ MIR(y)) PaymentCard(bankOfAmerica) ∧ UsedWith(bankOfAmerica, applePay)","PaymentCard(bankOfAmerica) ∧ International(bankOfAmerica) ∀x (PaymentCard(bankOfAmerica) ∧ International(bankOfAmerica) ∧ SocialPayment(x) ∧TransferredTo(x, bankOfAmerica)) ∀x ((PaymentCard(bandOfAmerica) ∧ International(bandOfAmerica) ∧ SocialPayment(x) ∧ TransferredTo(x, bandOfAmerica)) → International(bandOfAmerica))","['Not found', 'Or(Or(Not(International(bankOfAmerica)),Not(PaymentCard(bankOfAmerica))),Not(SocialPayment(skolem$x116)))\n└── Or(Or(Not(PaymentCard($x16)),Not(PaymentCard(bankOfAmerica))),Not(SocialPayment($x112)))\n ├── Or(MIR($x29),Not(SocialPayment($x112)))\n └── Or(Or(Or(Not(MIR(bankOfAmerica)),Not(PaymentCard($x16))),Not(PaymentCard(bankOfAmerica))),Not(SocialPayment($x112)))\n ├── Or(MIR($x29),Not(SocialPayment($x112)))\n └── Or(Or(Or(Not(MIR($x16)),Not(MIR(bankOfAmerica))),Not(PaymentCard($x16))),Not(PaymentCard(bankOfAmerica)))\n ├── Or(Or(Not(MIR($x16)),Not(PaymentCard($x16))),RussianBank($x26))\n └── Or(Or(Not(MIR(bankOfAmerica)),Not(PaymentCard(bankOfAmerica))),Not(RussianBank($x23)))\n ├── Or(Or(IssuedBy($x16,$x26),Not(MIR($x16))),Not(PaymentCard($x16)))\n └── Or(Or(Not(IssuedBy(bankOfAmerica,$x23)),Not(PaymentCard(bankOfAmerica))),Not(RussianBank($x23)))\n ├── Or(Or(Or(Not(IssuedBy($x13,$x23)),Not(PaymentCard($x13))),Not(RussianBank($x23))),Not(UsedWith($x13,applePay)))\n └── UsedWith(bankOfAmerica,applePay)\n', 'Or(Or(Or(Not(IssuedBy($x13,$x23)),Not(PaymentCard($x13))),Not(RussianBank($x23))),Not(UsedWith($x13,applePay)))\n']" 477,"All social media applications containing chat features are software. All social media applications that allow users to send messages to each other have chat features. All social media applications have chat features or video features. All social media applications that have video features allow users to upload videos. All software that is social media applications are computer programs. All social media applications that have high engagement metrics are addictive. If a social media application is addictive, then it is not ideal for preteens. TikTok is a social media application, and it is not ideal for preteens. ","TikTok is a computer program. TikTok is either ideal for preteens or a computer program. TikTok is does not have chat features or it is not a computer program. TikTok either has chat features or is a computer program.","T T F F","∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x)) ∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature)) ∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature)) ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFeature) → Allow(x, user, uploadVideo)) ∀x (SocialMedia(x) ∧ Application(x) ∧ Software(x) → ComputerProgram(x)) ∀x (SocialMedia(x) ∧ Application(x) ∧Have(x, highEngagementMetric) → Addictive(x)) ∀x (SocialMedia(x) ∧ Application(x) ∧ Addictive(x) → ¬IdealFor(x, preteen)) SocialMedia(tikTok) ∧ Application(tikTok) ∧ ¬IdealFor(tikTok, preteen)","ComputerProgram(tikTok) IdealFor(tikTok, preteen) ⊕ ComputerProgram(tikTok) ¬Contain(tikTok, chatFeature) ∨ ¬ComputerProgram(tikTok)) Contain(tikTok, chatFeature) ⊕ ComputerProgram(tikTok))","['Not found', 'Not found', 'Not found', 'Not found']" 468,"All drinks on the counter are edible. All juices on the counter are drinks. Orange juice is a type of juice. Everything on the counter is either orange juice or apple juice. All apple juices on the counter are sweet. The coke is on the counter and if the coke is apple juice, then the coke is a drink. If the coke is not apple juice, then the coke is not edible.","The coke is orange juice. The coke is edible and sweet. The coke is not edible and sweet.","U T F","∀x (OnCounter(x) ∧ Drink(x) → Edible(x)) ∀x (OnCounter(x) ∧ Juice(x) → Drink(x)) ∀x (OrangeJuice(x) → Juice(x)) ∀x (OnCounter(x) → OrangeJuice(x) ⊕ AppleJuice(x)) ∀x (OnCounter(x) ∧ AppleJuice(x) → Sweet(x)) OnCounter(coke) ∧ (AppleJuice(coke) → Drink(coke)) ¬AppleJuice(coke) → ¬Edible(coke)","OrangeJuice(coke) Edible(coke) ∧ Sweet(coke) ¬(Edible(coke) ∧ Sweet(coke))","['Not(OrangeJuice(coke))\n├── OnCounter(coke)\n└── Or(Not(OnCounter(coke)),Not(OrangeJuice(coke)))\n ├── Or(AppleJuice(coke),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice($x112),Not(OnCounter($x112))),OrangeJuice($x112))\n │ └── Or(Or(AppleJuice(coke),Not(OnCounter(coke))),Not(OrangeJuice(coke)))\n │ ├── Or(Juice($x19),Not(OrangeJuice($x19)))\n │ └── Or(Or(AppleJuice(coke),Not(Juice(coke))),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice(coke),Not(Drink(coke))),Not(OnCounter(coke)))\n │ │ ├── Or(AppleJuice(coke),Not(Edible(coke)))\n │ │ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n │ └── Or(Or(Drink($x16),Not(Juice($x16))),Not(OnCounter($x16)))\n └── Or(Or(Not(AppleJuice($x112)),Not(OnCounter($x112))),Not(OrangeJuice($x112)))\n', 'And(Edible(coke),Sweet(coke))\n├── Edible(coke)\n│ ├── OnCounter(coke)\n│ └── Or(Edible(coke),Not(OnCounter(coke)))\n│ ├── Or(Or(Drink(coke),Edible(coke)),Not(OnCounter(coke)))\n│ │ ├── Or(Or(Drink($x16),Not(Juice($x16))),Not(OnCounter($x16)))\n│ │ └── Or(Or(Edible(coke),Juice(coke)),Not(OnCounter(coke)))\n│ │ ├── Or(Juice($x19),Not(OrangeJuice($x19)))\n│ │ └── Or(Or(Edible(coke),Not(OnCounter(coke))),OrangeJuice(coke))\n│ │ ├── Or(Or(AppleJuice($x112),Not(OnCounter($x112))),OrangeJuice($x112))\n│ │ └── Or(Or(Edible(coke),Not(AppleJuice(coke))),Not(OnCounter(coke)))\n│ │ ├── Or(Drink(coke),Not(AppleJuice(coke)))\n│ │ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n│ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n└── Sweet(coke)\n ├── OnCounter(coke)\n └── Or(Not(OnCounter(coke)),Sweet(coke))\n ├── Or(AppleJuice(coke),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice($x112),Not(OnCounter($x112))),OrangeJuice($x112))\n │ └── Or(Or(AppleJuice(coke),Not(OnCounter(coke))),Not(OrangeJuice(coke)))\n │ ├── Or(Juice($x19),Not(OrangeJuice($x19)))\n │ └── Or(Or(AppleJuice(coke),Not(Juice(coke))),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice(coke),Not(Drink(coke))),Not(OnCounter(coke)))\n │ │ ├── Or(AppleJuice(coke),Not(Edible(coke)))\n │ │ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n │ └── Or(Or(Drink($x16),Not(Juice($x16))),Not(OnCounter($x16)))\n └── Or(Or(Not(AppleJuice($x115)),Not(OnCounter($x115))),Sweet($x115))\n', 'And(Edible(coke),Sweet(coke))\n├── Edible(coke)\n│ ├── OnCounter(coke)\n│ └── Or(Edible(coke),Not(OnCounter(coke)))\n│ ├── Or(Or(Drink(coke),Edible(coke)),Not(OnCounter(coke)))\n│ │ ├── Or(Or(Drink($x16),Not(Juice($x16))),Not(OnCounter($x16)))\n│ │ └── Or(Or(Edible(coke),Juice(coke)),Not(OnCounter(coke)))\n│ │ ├── Or(Juice($x19),Not(OrangeJuice($x19)))\n│ │ └── Or(Or(Edible(coke),Not(OnCounter(coke))),OrangeJuice(coke))\n│ │ ├── Or(Or(AppleJuice($x112),Not(OnCounter($x112))),OrangeJuice($x112))\n│ │ └── Or(Or(Edible(coke),Not(AppleJuice(coke))),Not(OnCounter(coke)))\n│ │ ├── Or(Drink(coke),Not(AppleJuice(coke)))\n│ │ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n│ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n└── Sweet(coke)\n ├── OnCounter(coke)\n └── Or(Not(OnCounter(coke)),Sweet(coke))\n ├── Or(AppleJuice(coke),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice($x112),Not(OnCounter($x112))),OrangeJuice($x112))\n │ └── Or(Or(AppleJuice(coke),Not(OnCounter(coke))),Not(OrangeJuice(coke)))\n │ ├── Or(Juice($x19),Not(OrangeJuice($x19)))\n │ └── Or(Or(AppleJuice(coke),Not(Juice(coke))),Not(OnCounter(coke)))\n │ ├── Or(Or(AppleJuice(coke),Not(Drink(coke))),Not(OnCounter(coke)))\n │ │ ├── Or(AppleJuice(coke),Not(Edible(coke)))\n │ │ └── Or(Or(Edible($x13),Not(Drink($x13))),Not(OnCounter($x13)))\n │ └── Or(Or(Drink($x16),Not(Juice($x16))),Not(OnCounter($x16)))\n └── Or(Or(Not(AppleJuice($x115)),Not(OnCounter($x115))),Sweet($x115))\n']" 457,"All children are human. If someone is underage, then they are a child. People are either underage or of age. If someone is of age, then they can vote. If someone is of age, they can legally get married. If Jack is a child and a human, then Jack is neither able to vote nor get married.","Jack is a human. Jack is able to vote and get married. Jack is either able to vote or legally able to get married.","U T F","∀x (Child(x) → Human(x)) ∀x (Underage(x) → Child(x)) ∀x (Underage(x) ⊕ OfAge(x)) ∀x (OfAge(x) → CanVote(x)) ∀x (OfAge(x) → CanGetMarried(x)) Child(jack) ∧ Human(jack) → (¬CanVote(jack) ∧ ¬CanGetMarried(jack))","Human(jack) CanVote(jack) ∧ CanGetMarried(jack) CanVote(jack) ⊕ CanGetMarried(jack)","['Human(jack)\n├── Child(jack)\n└── Or(Human($x13),Not(Child($x13)))\n', 'Or(Not(CanGetMarried(jack)),Not(CanVote(jack)))\n└── Not(CanGetMarried(jack))\n ├── Child(jack)\n └── Or(Not(CanGetMarried(jack)),Not(Child(jack)))\n ├── Or(Human($x13),Not(Child($x13)))\n └── Or(Not(CanGetMarried(jack)),Not(Human(jack)))\n', 'Not(And(Or(CanVote(jack),CanGetMarried(jack)),Not(And(CanVote(jack),CanGetMarried(jack)))))\n├── Or(CanGetMarried(jack),Not(CanVote(jack)))\n│ ├── Or(CanGetMarried($x115),Not(OfAge($x115)))\n│ └── Or(Not(CanVote(jack)),OfAge(jack))\n│ ├── Or(Not(CanVote(jack)),Not(Underage(jack)))\n│ │ ├── Or(Child($x16),Not(Underage($x16)))\n│ │ └── Or(Not(CanVote(jack)),Not(Child(jack)))\n│ │ ├── Or(Human($x13),Not(Child($x13)))\n│ │ └── Or(Not(CanVote(jack)),Not(Human(jack)))\n│ └── Or(OfAge($x19),Underage($x19))\n└── Or(CanVote(jack),Not(CanGetMarried(jack)))\n ├── Or(CanVote($x112),Not(OfAge($x112)))\n └── Or(Not(CanGetMarried(jack)),OfAge(jack))\n ├── Or(Not(CanGetMarried(jack)),Not(Underage(jack)))\n │ ├── Or(Child($x16),Not(Underage($x16)))\n │ └── Or(Not(CanGetMarried(jack)),Not(Child(jack)))\n │ ├── Or(Human($x13),Not(Child($x13)))\n │ └── Or(Not(CanGetMarried(jack)),Not(Human(jack)))\n └── Or(OfAge($x19),Underage($x19))\n']" 389,"A diseases affect females or males. No women have prostate cancer. A cancer is either prostate cancer or non-prostate cancer. No type of cancer is without mutations. All non-prostate cancers are a type of cancer. If adenocarcinoma is a type of cancer or without mutations or both, then adenocarcinoma is in women or without mutations or both.","Adenocarcinoma is a prostate cancer. Adenocarcinoma is a disease in women. If adenocarcinoma is a disease in women or without mutations, then adenocarcinoma is without mutations and a non-prostate cancer.","U T F","∀x (Disease(x) → (Affects(x, female) ∨ Affects(x, male)) ) ∀x (Affect(x, female) → ¬ProstateCancer(x)) ∀x (ProstateCancer(x) ∨ NonProstateCancer(x)) ∀x (Cancer(x) → ¬Without(x, mutation)) ∀x (NonProstateCancer(x) → Cancer(x)) (Cancer(adenocarcinoma) ∨ Without(adenocarcinoma, mutation)) → (Affect(adenocarcinoma, female) ∨ Without(adenocarcinoma, mutation))","ProstateCancer(adenocarcinoma) Affect(adenocarcinoma, men) (Affect(adenocarcinoma, men) ∨ Without(adenocarcinoma, mutation)) → (NonProstateCancer(adenocarcinoma) ∧ Without(adenocarcinoma, mutation))","['Not found', 'Not found', 'Not found']" 385,"If someone is ranked highly by the Women's Tennis Association, then they are one of the most active players in major tennis. Everyone who lost to Iga Świątek at Roland Garros 2022 is ranked highly by the Women's Tennis Association. All female tennis players at Roland Garros 2022 lost to Iga Świątek. All tennis players at Roland Garros 2022 are either female or male. All male tennis players at Roland Garros in 2022 lost to Rafael Nadal. If Coco Gauff is ranked highly by the Women's Tennis Association or lost to Rafael Nadal, then Coco Gauff is not a male tennis player at Roland Garros 2022. Coco Gauff is at Roland Garros 2022.","Coco Gauff is among the most active Grand-Slam players. Coco Gauff has lost to Rafael Nadal. Coco Gauff is not both a player who lost to Iga Świątek at Roland Garros 2022 and one of the most active players in major tennis.","T U F","∀x (RankedHighlyBy(x, womensTennisAssociation) → MostActivePlayerIn(x, majorTennis)) ∀x (LostTo(x, świątek) ∧ At(x, rolandGarros2022) → RankedHighlyBy(x, womensTennisAssociation)) ∀x (FemaleTennisPlayer(x) ∧ At(x, rolandGarros2022) → LostTo(x, świątek) ∧ At(x, rolandGarros2022)) ∀x (TennisPlayer(x) ∧ At(x, rolandGarros2022) → (Female(x) ∧ TennisPlayer(x)) ⊕ (Male(x) ∧ TennisPlayer(x))) ∀x (Male(x) ∧ TennisPlayer(x) ∧ At(x, rolandGarros2022) → LostTo(x, świątek) ∧ At(x, rolandGarros2022)) RankedHighlyBy(cocoGauff, womensTennisAssociation) ∨ (LostTo(cocoGauff, świątek) ∧ LostAt(cocoGauff, rolandGarros2022)) → ¬(Male(cocoGauff) ∧ TennisPlayer(cocoGauff) ∧ AtRolandGarros2022(cocoGauff)) TennisPlayer(cocoGauff) ∧ At(cocoGauff, rolandGarros2022)","MostActivePlayerIn(cocoGauff, majorTennis) LostTo(cocoGauff, świątek) ∧ At(cocoGauff, rolandGarros2022) ¬(LostTo(cocoGauff, świątek) ∧ At(cocoGauff, rolandGarros2022)) ∨ ¬MostActivePlayerIn(cocoGauff, majorTennis) ","['Not found', 'Not found', 'Not found']" 438,"None of the kids in our family love the opera. All of the adults in our family love the opera. If someone in our family is a scientist, then they are an adult. Some students in our family are kids. Billy is a kid in our family.","Billy is a student. Billy is a student and a scientist. If Billy is a student or a scientist, then Billy is a student and a kid.","U F T","∀x ((Kid(x) ∧ In(x, ourFamily)) → ¬Love(x, opera)) ∀x ((Adult(x) ∧ In(x, ourFamily)) → Love(x, opera)) ∀x ((Scientist(x) ∧ In(x, ourFamily)) → Adult(x)) ∃x (Student(x) ∧ In(x, ourFamily) ∧ Kid(x)) Kid(billy) ∧ In(billy, ourFamily) ","Student(billy) Student(billy) ∧ Scientist(billy) (Student(billy) ∨ Scientist(billy)) → (Student(billy) ∧ Kid(billy))","['Not found', 'Or(Not(Scientist(billy)),Not(Student(billy)))\n└── Not(Scientist(billy))\n ├── In(billy,ourFamily)\n └── Or(Not(In(billy,ourFamily)),Not(Scientist(billy)))\n ├── Or(Not(Adult(billy)),Not(In(billy,ourFamily)))\n │ ├── Or(Not(In(billy,ourFamily)),Not(Love(billy,opera)))\n │ │ ├── Kid(billy)\n │ │ └── Or(Or(Not(In($x13,ourFamily)),Not(Kid($x13))),Not(Love($x13,opera)))\n │ └── Or(Or(Love($x16,opera),Not(Adult($x16))),Not(In($x16,ourFamily)))\n └── Or(Or(Adult($x19),Not(In($x19,ourFamily))),Not(Scientist($x19)))\n', 'Implies(Or(Student(billy),Scientist(billy)),And(Student(billy),Kid(billy)))\n├── Or(Kid(billy),Not(Scientist(billy)))\n│ └── Kid(billy)\n├── Or(Kid(billy),Not(Student(billy)))\n│ └── Kid(billy)\n└── Or(Not(Scientist(billy)),Student(billy))\n └── Not(Scientist(billy))\n ├── In(billy,ourFamily)\n └── Or(Not(In(billy,ourFamily)),Not(Scientist(billy)))\n ├── Or(Not(Adult(billy)),Not(In(billy,ourFamily)))\n │ ├── Or(Not(In(billy,ourFamily)),Not(Love(billy,opera)))\n │ │ ├── Kid(billy)\n │ │ └── Or(Or(Not(In($x13,ourFamily)),Not(Kid($x13))),Not(Love($x13,opera)))\n │ └── Or(Or(Love($x16,opera),Not(Adult($x16))),Not(In($x16,ourFamily)))\n └── Or(Or(Adult($x19),Not(In($x19,ourFamily))),Not(Scientist($x19)))\n']" 368,"If people at Mary's school work in student jobs on campus, then they need to earn money to help pay for their college tuition. If people at Mary's school order takeout frequently in college, then they work in student jobs on campus. People at Mary's school order takeout frequently in college or enjoy the dining hall meals and recipes. If people at Mary's school enjoy the dining hall meals and recipes, then they are not picky eaters. If people at Mary's school enjoy the dining hall meals and recipes, then they spend a lot of their time eating and catching up with friends in the campus dining halls. Hannah is at Mary's school. Hannah works in student jobs on campus and if she needs to earn money to help pay for her college tuition, then she is neither picky nor needs to earn money to help pay for her college tuition.","Hannah needs to earn money to help pay for her college tuition. Hannah is at Mary's school and she is not a picky eater and spends a lot of her time eating and catching up with friends in the campus dining halls. Hannah is at Mary's school and she either is not a picky eater or, if she is, then she spends a lot of her time eating and catching up with friends in the campus dining halls.","U T F","∀x (At(x, marysSchool) ∧ WorkIn(x, studentJob, campus) → NeedToEarnMoneyToHelpPayFor(x, collegeTuition)) ∀x (At(x, marysSchool) ∧ OrderFrequently(x, takeout) → WorkIn(x, studentJob, campus)) ∀x (At(x, marysSchool) ∧ (OrderFrequently(x, takeout) ∨ Enjoy(x, diningHallMeal))) ∀x (At(x, marysSchool) ∧ Enjoy(x, diningHallMeal) → ¬PickyEater(x)) ∀x (At(x, marysSchool) ∧ Enjoy(x, diningHallMeal) → Spend(x, aLotOfTime, eating) ∧ Spend(x, aLotOfTime, catchingUpWithFriends, diningHall)) At(hannah, marysSchool) (WorkIn(hannah, studentJob, campus) ∧ NeedToEarnMoneyToHelpPayFor(hannah, collegeTuition) → ¬(PickyEater(hannah) ∨ NeedToEarnMoneyToHelpPayFor(hannah, collegeTuition))","NeedToEarnMoneyToHelpPayFor(hannah, collegeTuition) ¬(PickyEater(hannah) ∧ Spend(hannah, aLotOfTime, eating) ∧ Spend(hannah, aLotOfTime, catchingUpWithFriends, diningHall)) PickyEater(hannah) ⊕ (Spend(hannah, aLotOfTime, eating) ∧ Spend(hannah, aLotOfTime, catchingUpWithFriends, diningHall))","['Not(NeedToEarnMoneyToHelpPayFor(hannah,collegeTuition))\n', 'Or(Or(Not(PickyEater(hannah)),Not(Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall))),Not(Spend(hannah,aLotOfTime,eating)))\n└── Not(PickyEater(hannah))\n ├── At($x19,marysSchool)\n └── Or(Not(At(hannah,marysSchool)),Not(PickyEater(hannah)))\n ├── Enjoy(hannah,diningHallMeal)\n │ ├── Not(OrderFrequently(hannah,takeout))\n │ │ ├── At($x19,marysSchool)\n │ │ └── Or(Not(At(hannah,marysSchool)),Not(OrderFrequently(hannah,takeout)))\n │ │ ├── Or(Not(At(hannah,marysSchool)),Not(WorkIn(hannah,studentJob,campus)))\n │ │ │ ├── Not(NeedToEarnMoneyToHelpPayFor(hannah,collegeTuition))\n │ │ │ └── Or(Or(NeedToEarnMoneyToHelpPayFor($x13,collegeTuition),Not(At($x13,marysSchool))),Not(WorkIn($x13,studentJob,campus)))\n │ │ └── Or(Or(Not(At($x16,marysSchool)),Not(OrderFrequently($x16,takeout))),WorkIn($x16,studentJob,campus))\n │ └── Or(Enjoy($x19,diningHallMeal),OrderFrequently($x19,takeout))\n └── Or(Or(Not(At($x112,marysSchool)),Not(Enjoy($x112,diningHallMeal))),Not(PickyEater($x112)))\n', 'And(Or(PickyEater(hannah),And(Spend(hannah,aLotOfTime,eating),Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall))),Not(And(PickyEater(hannah),And(Spend(hannah,aLotOfTime,eating),Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall)))))\n├── Or(Or(Not(PickyEater(hannah)),Not(Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall))),Not(Spend(hannah,aLotOfTime,eating)))\n│ └── Not(PickyEater(hannah))\n│ ├── At($x19,marysSchool)\n│ └── Or(Not(At(hannah,marysSchool)),Not(PickyEater(hannah)))\n│ ├── Enjoy(hannah,diningHallMeal)\n│ │ ├── Not(OrderFrequently(hannah,takeout))\n│ │ │ ├── At($x19,marysSchool)\n│ │ │ └── Or(Not(At(hannah,marysSchool)),Not(OrderFrequently(hannah,takeout)))\n│ │ │ ├── Or(Not(At(hannah,marysSchool)),Not(WorkIn(hannah,studentJob,campus)))\n│ │ │ │ ├── Not(NeedToEarnMoneyToHelpPayFor(hannah,collegeTuition))\n│ │ │ │ └── Or(Or(NeedToEarnMoneyToHelpPayFor($x13,collegeTuition),Not(At($x13,marysSchool))),Not(WorkIn($x13,studentJob,campus)))\n│ │ │ └── Or(Or(Not(At($x16,marysSchool)),Not(OrderFrequently($x16,takeout))),WorkIn($x16,studentJob,campus))\n│ │ └── Or(Enjoy($x19,diningHallMeal),OrderFrequently($x19,takeout))\n│ └── Or(Or(Not(At($x112,marysSchool)),Not(Enjoy($x112,diningHallMeal))),Not(PickyEater($x112)))\n├── Or(PickyEater(hannah),Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall))\n│ └── Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall)\n│ ├── At($x19,marysSchool)\n│ └── Or(Not(At(hannah,marysSchool)),Spend(hannah,aLotOfTime,catchingUpWithFriends,diningHall))\n│ ├── Enjoy(hannah,diningHallMeal)\n│ │ ├── Not(OrderFrequently(hannah,takeout))\n│ │ │ ├── At($x19,marysSchool)\n│ │ │ └── Or(Not(At(hannah,marysSchool)),Not(OrderFrequently(hannah,takeout)))\n│ │ │ ├── Or(Not(At(hannah,marysSchool)),Not(WorkIn(hannah,studentJob,campus)))\n│ │ │ │ ├── Not(NeedToEarnMoneyToHelpPayFor(hannah,collegeTuition))\n│ │ │ │ └── Or(Or(NeedToEarnMoneyToHelpPayFor($x13,collegeTuition),Not(At($x13,marysSchool))),Not(WorkIn($x13,studentJob,campus)))\n│ │ │ └── Or(Or(Not(At($x16,marysSchool)),Not(OrderFrequently($x16,takeout))),WorkIn($x16,studentJob,campus))\n│ │ └── Or(Enjoy($x19,diningHallMeal),OrderFrequently($x19,takeout))\n│ └── Or(Or(Not(At($x115,marysSchool)),Not(Enjoy($x115,diningHallMeal))),Spend($x115,aLotOfTime,catchingUpWithFriends,diningHall))\n└── Or(PickyEater(hannah),Spend(hannah,aLotOfTime,eating))\n └── Spend(hannah,aLotOfTime,eating)\n ├── At($x19,marysSchool)\n └── Or(Not(At(hannah,marysSchool)),Spend(hannah,aLotOfTime,eating))\n ├── Enjoy(hannah,diningHallMeal)\n │ ├── Not(OrderFrequently(hannah,takeout))\n │ │ ├── At($x19,marysSchool)\n │ │ └── Or(Not(At(hannah,marysSchool)),Not(OrderFrequently(hannah,takeout)))\n │ │ ├── Or(Not(At(hannah,marysSchool)),Not(WorkIn(hannah,studentJob,campus)))\n │ │ │ ├── Not(NeedToEarnMoneyToHelpPayFor(hannah,collegeTuition))\n │ │ │ └── Or(Or(NeedToEarnMoneyToHelpPayFor($x13,collegeTuition),Not(At($x13,marysSchool))),Not(WorkIn($x13,studentJob,campus)))\n │ │ └── Or(Or(Not(At($x16,marysSchool)),Not(OrderFrequently($x16,takeout))),WorkIn($x16,studentJob,campus))\n │ └── Or(Enjoy($x19,diningHallMeal),OrderFrequently($x19,takeout))\n └── Or(Or(Not(At($x115,marysSchool)),Not(Enjoy($x115,diningHallMeal))),Spend($x115,aLotOfTime,eating))\n']" 476,"All phones are things. All cell phones are phones. All iPhones are cell phones. All employees are wage earners. All wage earners are human. Jack is either an employee or a wage earner. Jack is either a human or a phone.","Jack is a thing. Jack is not a thing. Jack is a thing and an iPhone. Jack is not both a thing and an iPhone.","U U F T","∀x (Phone(x) → Thing(x)) ∀x (Cellphone(x) → Phone(x)) ∀x (Iphone(x) → Cellphone(x)) ∀x (Employee(x) → WageEarner(x)) ∀x (WageEarner(x) → Human(x)) Employee(jack) ⊕ WageEarner(jack) Human(jack) ⊕ Phone(jack)","Thing(jack) ¬Thing(jack) Thing(jack) ∧ Iphone(jack) ¬(Thing(jack) ∧ Iphone(jack))","['Not found', 'Not found', 'Or(Not(Iphone(jack)),Not(Thing(jack)))\n└── Not(Iphone(jack))\n ├── Not(Employee(jack))\n │ ├── Or(Not(Employee($x112)),WageEarner($x112))\n │ └── Or(Not(Employee(jack)),Not(WageEarner(jack)))\n └── Or(Employee(jack),Not(Iphone(jack)))\n ├── Or(Employee(jack),WageEarner(jack))\n └── Or(Not(Iphone(jack)),Not(WageEarner(jack)))\n ├── Or(Human($x115),Not(WageEarner($x115)))\n └── Or(Not(Human(jack)),Not(Iphone(jack)))\n ├── Or(Cellphone($x19),Not(Iphone($x19)))\n └── Or(Not(Cellphone(jack)),Not(Human(jack)))\n ├── Or(Not(Cellphone($x16)),Phone($x16))\n └── Or(Not(Human(jack)),Not(Phone(jack)))\n', 'Or(Not(Iphone(jack)),Not(Thing(jack)))\n└── Not(Iphone(jack))\n ├── Not(Employee(jack))\n │ ├── Or(Not(Employee($x112)),WageEarner($x112))\n │ └── Or(Not(Employee(jack)),Not(WageEarner(jack)))\n └── Or(Employee(jack),Not(Iphone(jack)))\n ├── Or(Employee(jack),WageEarner(jack))\n └── Or(Not(Iphone(jack)),Not(WageEarner(jack)))\n ├── Or(Human($x115),Not(WageEarner($x115)))\n └── Or(Not(Human(jack)),Not(Iphone(jack)))\n ├── Or(Cellphone($x19),Not(Iphone($x19)))\n └── Or(Not(Cellphone(jack)),Not(Human(jack)))\n ├── Or(Not(Cellphone($x16)),Phone($x16))\n └── Or(Not(Human(jack)),Not(Phone(jack)))\n']" 397,"All brain study designs are either block designs or event-related designs. All event-related brain study designs are brain image acquisition. All brain image acquisition in brain study designs is preceded by data processing. Nothing in brain study designs preceded by data processing analyzes data. Picture memory is a type of brain study design that is not either event-related or analyzing data.","Picture memory is preceded by data processing. Picture memory is a block design. Picture memory is either a block design or analyzing data. If picture memory is not analyzing data, then picture memory is a block design and analyzing data.","U T T F","∀x (BrainStudy(x) → (BlockDesign(x) ⊕ Event-relatedDesign(x))) ∀x ((BrainStudy(x) ∧ EventRelatedDesign(x)) → BrainImageAcquisition(x)) ∀x ((BrainStudy(x) ∧ BrainImageAcquisition(x)) → PrecededBy(x, dataProcessing)) ∀x ((BrainStudy(x) ∧ PrecededBy(x, dataProcessing)) → ¬Analyze(x, data)) BrainStudy(pictureMemory) ∧ (¬(EventRelatedDesign(pictureMemory) ⊕ AnalyzingData(pictureMemory)))","PrecededBy(pictureMemory, dataProcessing) BlockDesign(pictureMemory) BlockDesign(pictureMemory) ⊕ Analyze(pictureMemory, data) ¬Analyze(pictureMemory, data) → (BlockDesign(pictureMemory) ∧ Analyze(pictureMemory, data))","['Not found', 'Not found', 'Not found', 'Not found']" 483,"Everyone who can register to vote in the United States can participate in the 2024 United States presidential election. If someone has United States citizenship, then they can register to vote in the United States. A person either has United States citizenship or Taiwanese citizenship. No Russian Federation officials hold Taiwanese citizenship. Vladimir neither holds Taiwanese citizenship nor is he a manager at Gazprom. Ekaterina she can register to vote in the United States, or she is a Russian federation official.","Vladimir is a Russian federation official Vladimir is not a Russian federation official Ekaterina can participate in the 2024 United States presidential election or is a manager at Gazprom. Ekaterina can participate in the 2024 United States presidential election or Vladimir is a manager at Gazprom. It is not true that Ekaterina can register to vote in the United States and Vladimir can participate in the 2024 United States presidential election.","U U T T F","∀x (CanRegisterToVoteIn(x, unitedStates) → CanParticipateIn(x, 2024UnitedStatesElection)) ∀x (Have(x, unitedStatesCitizenship) → CanRegisterToVoteIn(x, unitedStates)) ∀x (Have(x, unitedStatesCitizenship) ∨ Have(x, taiwaneseCitizenship)) ∀x (Russian(x) ∧ FederationOfficial(x) → ¬Have(x, taiwaneseCitizenship)) ¬Have(vladimir, taiwaneseCitizenship) ∧ ¬ManagerAt(vladimir, gazprom) (Russian(ekaterina) ∧ FederationOfficial(ekaterina)) ∨ CanRegisterToVoteIn(ekaterina, unitedStates)","Russian(vladimir) ∧ FederationOfficial(vladimir) ¬(Russian(vladimir) ∧ FederationOfficial(vladimir)) CanParticipateIn(ekaterina, 2024UnitedStatesElection) ∨ ManagerAt(ekaterina, gazprom) CanParticipateIn(ekaterina, 2024UnitedStatesElection) ⊕ ManagerAt(vladimir, gazprom) CanRegisterToVoteIn(ekaterina, unitedStates) ∧ CanParticipateIn(vladimir, 2024UnitedStatesElection)","['Not found', 'Not found', 'Or(CanParticipateIn(ekaterina,2024UnitedStatesElection),ManagerAt(ekaterina,gazprom))\n└── CanParticipateIn(ekaterina,2024UnitedStatesElection)\n ├── CanRegisterToVoteIn(ekaterina,unitedStates)\n │ ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),FederationOfficial(ekaterina))\n │ └── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina)))\n │ ├── Or(CanRegisterToVoteIn($x16,unitedStates),Not(Have($x16,unitedStatesCitizenship)))\n │ └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Have(ekaterina,unitedStatesCitizenship)),Not(FederationOfficial(ekaterina)))\n │ ├── Or(Have($x19,taiwaneseCitizenship),Have($x19,unitedStatesCitizenship))\n │ └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina))),Not(Have(ekaterina,taiwaneseCitizenship)))\n │ ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Russian(ekaterina))\n │ └── Or(Or(Not(FederationOfficial($x112)),Not(Have($x112,taiwaneseCitizenship))),Not(Russian($x112)))\n └── Or(CanParticipateIn($x13,2024UnitedStatesElection),Not(CanRegisterToVoteIn($x13,unitedStates)))\n', 'And(Or(CanParticipateIn(ekaterina,2024UnitedStatesElection),ManagerAt(vladimir,gazprom)),Not(And(CanParticipateIn(ekaterina,2024UnitedStatesElection),ManagerAt(vladimir,gazprom))))\n├── Or(CanParticipateIn(ekaterina,2024UnitedStatesElection),ManagerAt(vladimir,gazprom))\n│ └── CanParticipateIn(ekaterina,2024UnitedStatesElection)\n│ ├── CanRegisterToVoteIn(ekaterina,unitedStates)\n│ │ ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),FederationOfficial(ekaterina))\n│ │ └── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina)))\n│ │ ├── Or(CanRegisterToVoteIn($x16,unitedStates),Not(Have($x16,unitedStatesCitizenship)))\n│ │ └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Have(ekaterina,unitedStatesCitizenship)),Not(FederationOfficial(ekaterina)))\n│ │ ├── Or(Have($x19,taiwaneseCitizenship),Have($x19,unitedStatesCitizenship))\n│ │ └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina))),Not(Have(ekaterina,taiwaneseCitizenship)))\n│ │ ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Russian(ekaterina))\n│ │ └── Or(Or(Not(FederationOfficial($x112)),Not(Have($x112,taiwaneseCitizenship))),Not(Russian($x112)))\n│ └── Or(CanParticipateIn($x13,2024UnitedStatesElection),Not(CanRegisterToVoteIn($x13,unitedStates)))\n└── Or(Not(CanParticipateIn(ekaterina,2024UnitedStatesElection)),Not(ManagerAt(vladimir,gazprom)))\n └── Not(ManagerAt(vladimir,gazprom))\n', 'And(CanRegisterToVoteIn(ekaterina,unitedStates),CanParticipateIn(vladimir,2024UnitedStatesElection))\n├── CanParticipateIn(vladimir,2024UnitedStatesElection)\n│ ├── CanRegisterToVoteIn(vladimir,unitedStates)\n│ │ ├── Have(vladimir,unitedStatesCitizenship)\n│ │ │ ├── Not(Have(vladimir,taiwaneseCitizenship))\n│ │ │ └── Or(Have($x19,taiwaneseCitizenship),Have($x19,unitedStatesCitizenship))\n│ │ └── Or(CanRegisterToVoteIn($x16,unitedStates),Not(Have($x16,unitedStatesCitizenship)))\n│ └── Or(CanParticipateIn($x13,2024UnitedStatesElection),Not(CanRegisterToVoteIn($x13,unitedStates)))\n└── CanRegisterToVoteIn(ekaterina,unitedStates)\n ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),FederationOfficial(ekaterina))\n └── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina)))\n ├── Or(CanRegisterToVoteIn($x16,unitedStates),Not(Have($x16,unitedStatesCitizenship)))\n └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Have(ekaterina,unitedStatesCitizenship)),Not(FederationOfficial(ekaterina)))\n ├── Or(Have($x19,taiwaneseCitizenship),Have($x19,unitedStatesCitizenship))\n └── Or(Or(CanRegisterToVoteIn(ekaterina,unitedStates),Not(FederationOfficial(ekaterina))),Not(Have(ekaterina,taiwaneseCitizenship)))\n ├── Or(CanRegisterToVoteIn(ekaterina,unitedStates),Russian(ekaterina))\n └── Or(Or(Not(FederationOfficial($x112)),Not(Have($x112,taiwaneseCitizenship))),Not(Russian($x112)))\n']" 426,"All employees who schedule a meeting with their customers will go to the company building today. Everyone who has lunch in the company building schedules meetings with their customers. Employees have lunch either in the company building or at home. If an employee has lunch at home, they are working remotely from home. All employees who are in other countries work remotely from home. No managers work remotely from home. James will appear in the company today if and only if he is a manager.","James has lunch in the company. James does not have lunch in the company. If James is either a manager or in other countries, then James does not either has lunch at home or work remotely from home. If James either has lunch at home or works remotely from home, then he is neither a manager nor does he work in other countries. [contrapositive is more natural]","U U T","∀x ((Employee(x) ∧ Schedule(x, meeting, customers)) → AppearIn(x, company)) ∀x ((Employee(x) ∧ HasLunch(x, company)) → Schedule(x, meeting, customers)) ∀x (Employee(x) → (HasLunch(x, company) ⊕ HasLunch(x, home))) ∀x ((Employee(x) ∧ HasLunch(x, home)) → Work(x, home)) ∀x ((Employee(x) ∧ (¬In(x, homecountry))) → Work(x, home)) ∀x (Manager(x) → ¬Work(x, home)) ¬(Manager(james) ⊕ AppearIn(james, company))","HasLunch(james, company) ¬HasLunch(james, company) Manager(james) → ¬Work(james, home)","['Not found', 'Not found', 'Or(Not(Manager(james)),Not(Work(james,home)))\n├── Or(AppearIn(james,company),Not(Manager(james)))\n└── Or(Not(AppearIn(james,company)),Not(Work(james,home)))\n ├── Or(Manager(james),Not(AppearIn(james,company)))\n └── Or(Not(Manager($x118)),Not(Work($x118,home)))\n']" 456,"Some professional basketball players are not American nationals. All professional basketball players can do jump shots. If someone can jump shots, they leap straight into the air. If someone leaps straight into the air, they activate their leg muscles. Yuri does not activate his leg muscles.","Yuri is an American national. Yuri is not an American professional basketball player. Yuri is an American professional basketball player. If Yuri does not leap straight into the air, then Yuri is an American professional basketball player. If Yuri is not an American professional basketball player, then Yuri is a professional basketball player.","U T F F F","∃x (Professional(x) ∧ BasketballPlayer(x) ∧ ¬AmericanNational(x)) ∀x (Professional(x) ∧ BasketballPlayer(x) → CanDo(x, jumpShot)) ∀x (CanDo(x, jumpShot) → LeapStraightIntoAir(x)) ∀x (LeapStraightIntoAir(x) → Activate(x, legMuscle)) ¬Activate(yuri, legMuscle)","AmericanNational(yuri) ¬(AmericanNational(yuri) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) AmericanNational(yuri) ∧ Professional(yuri) ∧ BasketballPlayer(yuri) ¬LeapStraightIntoAir(yuri) → (AmericanNational(yuri) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) ¬(AmericanNational(yuri) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) → (Professional(yuri) ∧ BasketballPlayer(yuri))","['Not found', 'Or(Or(Not(AmericanNational(yuri)),Not(BasketballPlayer(yuri))),Not(Professional(yuri)))\n└── Or(Not(BasketballPlayer(yuri)),Not(Professional(yuri)))\n ├── Not(CanDo(yuri,jumpShot))\n │ ├── Not(LeapStraightIntoAir(yuri))\n │ │ ├── Not(Activate(yuri,legMuscle))\n │ │ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n │ └── Or(LeapStraightIntoAir($x19),Not(CanDo($x19,jumpShot)))\n └── Or(Or(CanDo($x16,jumpShot),Not(BasketballPlayer($x16))),Not(Professional($x16)))\n', 'Or(Or(Not(AmericanNational(yuri)),Not(BasketballPlayer(yuri))),Not(Professional(yuri)))\n└── Or(Not(BasketballPlayer(yuri)),Not(Professional(yuri)))\n ├── Not(CanDo(yuri,jumpShot))\n │ ├── Not(LeapStraightIntoAir(yuri))\n │ │ ├── Not(Activate(yuri,legMuscle))\n │ │ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n │ └── Or(LeapStraightIntoAir($x19),Not(CanDo($x19,jumpShot)))\n └── Or(Or(CanDo($x16,jumpShot),Not(BasketballPlayer($x16))),Not(Professional($x16)))\n', 'Not(Implies(Not(LeapStraightIntoAir(yuri)),And(And(AmericanNational(yuri),Professional(yuri)),BasketballPlayer(yuri))))\n├── Not(LeapStraightIntoAir(yuri))\n│ ├── Not(Activate(yuri,legMuscle))\n│ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n└── Or(Or(Not(AmericanNational(yuri)),Not(BasketballPlayer(yuri))),Not(Professional(yuri)))\n └── Or(Not(BasketballPlayer(yuri)),Not(Professional(yuri)))\n ├── Not(CanDo(yuri,jumpShot))\n │ ├── Not(LeapStraightIntoAir(yuri))\n │ │ ├── Not(Activate(yuri,legMuscle))\n │ │ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n │ └── Or(LeapStraightIntoAir($x19),Not(CanDo($x19,jumpShot)))\n └── Or(Or(CanDo($x16,jumpShot),Not(BasketballPlayer($x16))),Not(Professional($x16)))\n', 'Not(Implies(Not(And(And(AmericanNational(yuri),Professional(yuri)),BasketballPlayer(yuri))),And(Professional(yuri),BasketballPlayer(yuri))))\n├── Or(Not(BasketballPlayer(yuri)),Not(Professional(yuri)))\n│ ├── Not(CanDo(yuri,jumpShot))\n│ │ ├── Not(LeapStraightIntoAir(yuri))\n│ │ │ ├── Not(Activate(yuri,legMuscle))\n│ │ │ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n│ │ └── Or(LeapStraightIntoAir($x19),Not(CanDo($x19,jumpShot)))\n│ └── Or(Or(CanDo($x16,jumpShot),Not(BasketballPlayer($x16))),Not(Professional($x16)))\n└── Or(Or(Not(AmericanNational(yuri)),Not(BasketballPlayer(yuri))),Not(Professional(yuri)))\n └── Or(Not(BasketballPlayer(yuri)),Not(Professional(yuri)))\n ├── Not(CanDo(yuri,jumpShot))\n │ ├── Not(LeapStraightIntoAir(yuri))\n │ │ ├── Not(Activate(yuri,legMuscle))\n │ │ └── Or(Activate($x112,legMuscle),Not(LeapStraightIntoAir($x112)))\n │ └── Or(LeapStraightIntoAir($x19),Not(CanDo($x19,jumpShot)))\n └── Or(Or(CanDo($x16,jumpShot),Not(BasketballPlayer($x16))),Not(Professional($x16)))\n']" 353,"If Max listens to music, he either listens to classical music or rap. All the classical songs that Max listens to are from the 12th century. If Max is listening to a rap song, then the song is by Kanye West. All songs by Kanye West are full of lyrics. All songs that are full of lyrics need to be written with words It is not true that “As it was” by Harry Styles is classical music that Max listens to and is from the 12th century. Max listens to ""As it was"" by Harry Styles.","“As it was” by Harry Styles needs to be written with words. ""As it was” by Harry Styles is a song from the 12th century. ""As it was” by Harry Styles is not both a song from Kanye West and needed to be written with words.","T U F","∀x (MaxListenTo(x) → (ClassicalMusic(x) ⊕ Rap(x))) ∀x (MaxListenTo(x) ∧ ClassicalMusic(x) → Song(x) ∧ From(x, 12thCentury)) ∀x (MaxListenTo(x) ∧ Rap(x) → Song(x) ∧ By(x, kanyeWest)) ∀x (Song(x) ∧ By(x, kanyeWest) → Song(x) ∧ FullOfLyrics(x)) ∀x (Song(x) ∧ FullOfLyrics(x) → NeedToBeWrittenWith(x, words)) ¬(ClassicalMusic(asItWasByHarryStyles) ∧ Song(asItWasByHarryStyles) ∧ From(asItWasByHarryStyles, 12thCentury)) MaxListenTo(asItWasByHarryStyles)","NeedToBeWrittenWith(asItWasByHarryStyles, words) Song(asItWasByHarryStyles) ∧ From(asItWasByHarryStyles, 12thCentury) ¬(Song(asItWasByHarryStyles) ∧ By(asItWasByHarryStyles, kanyeWest) ∧ NeedToBeWrittenWith(asItWasByHarryStyles, words))","['Not found', 'Not found', 'Not found']" 394,"All electroencephalograms applied for physical examination in New Haven Hospital use electrodes. Either electroencephalogram or fMRI is applied for physical examination in New Haven Hospital. No fMRI applied for physical examination in New Haven Hospital measures voltage change. Near-infrared spectroscopy is not an electroencephalogram or not a magnetoencephalography applied for physical examination in New Haven Hospital. If near-infrared spectroscopy is either an electroencephalogram or magnetoencephalography applied for physical examination in New Haven Hospital, then near-infrared spectroscopy measures voltage change and is magnetoencephalography that applied for physical examination in New Haven Hospital.","Near-infrared spectroscopy uses electrodes. Near-infrared spectroscopy measures voltage change and uses electrodes. Near-infrared spectroscopy is using electrodes and is a magnetoencephalography applied for physical examination in New Haven Hospital. If Near-infrared spectroscopy is an electroencephalogram or a magnetoencephalography that are applied for physical examination in New Haven Hospital, then Near-infrared spectroscopy measures voltage change and uses electrodes. If Near-infrared spectroscopy either measures voltage change or using electrodes, then Near-infrared spectroscopy uses electrodes and is a fMRI that is applied for physical examination in New Haven Hospital.","U F F T T","∀x (Electroencephalogram(x) → Uses(x, electrode)) ∀x (Electroencephalogram(x) ⊕ FMRI(x)) ∀x (FMRI(x) → (¬Measures(x, voltageChange))) ¬(Electroencephalogram(nearInfraredSpectroscopy) ∧ Magnetoencephalography(nearInfraredSpectroscopy)) (Electroencephalogram(nearInfraredSpectroscopy) ⊕ Magnetoencephalography(nearInfraredSpectroscopy)) → (Measures(nearInfraredSpectroscopy, voltageChange) ∧ Magnetoencephalography(nearInfraredSpectroscopy))","Uses(nearInfraredSpectroscopy, electrode) Measures(nearInfraredSpectroscopy, voltageChange) ∧ Uses(nearInfraredSpectroscopy, electrode) Uses(nearInfraredSpectroscopy, electrode) ∧ Magnetoencephalography(nearInfraredSpectroscopy) (Electroencephalogram(nearInfraredSpectroscopy) ∨ Magnetoencephalography(nearInfraredSpectroscopy)) → (Measures(nearInfraredSpectroscopy, voltageChange) ∧ Uses(nearInfraredSpectroscopy, electrode)) (Measures(nearInfraredSpectroscopy, voltageChange) ⊕ Uses(nearInfraredSpectroscopy, electrode)) → (Uses(nearInfraredSpectroscopy, electrode) ∧ FMRI(nearInfraredSpectroscopy))","['Not found', 'Or(Not(Measures(nearInfraredSpectroscopy,voltageChange)),Not(Uses(nearInfraredSpectroscopy,electrode)))\n└── Not(Measures(nearInfraredSpectroscopy,voltageChange))\n ├── Or(FMRI(nearInfraredSpectroscopy),Not(Measures(nearInfraredSpectroscopy,voltageChange)))\n │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n │ └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Measures(nearInfraredSpectroscopy,voltageChange)))\n │ ├── Or(Magnetoencephalography(nearInfraredSpectroscopy),Not(Measures(nearInfraredSpectroscopy,voltageChange)))\n │ │ ├── Or(FMRI(nearInfraredSpectroscopy),Magnetoencephalography(nearInfraredSpectroscopy))\n │ │ │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n │ │ │ └── Or(Magnetoencephalography(nearInfraredSpectroscopy),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n │ │ └── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n │ └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n └── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n', 'Or(Not(Magnetoencephalography(nearInfraredSpectroscopy)),Not(Uses(nearInfraredSpectroscopy,electrode)))\n└── Not(Magnetoencephalography(nearInfraredSpectroscopy))\n ├── Or(Electroencephalogram(nearInfraredSpectroscopy),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n │ └── Or(Not(FMRI(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n │ ├── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n │ └── Or(Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(FMRI(nearInfraredSpectroscopy))),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n │ ├── Or(Not(Electroencephalogram($x16)),Not(FMRI($x16)))\n │ └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n', 'Implies(Or(Electroencephalogram(nearInfraredSpectroscopy),Magnetoencephalography(nearInfraredSpectroscopy)),And(Measures(nearInfraredSpectroscopy,voltageChange),Uses(nearInfraredSpectroscopy,electrode)))\n├── Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n│ ├── Or(Magnetoencephalography(nearInfraredSpectroscopy),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n│ └── Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ ├── Or(FMRI(nearInfraredSpectroscopy),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ │ └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ └── Or(Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(FMRI(nearInfraredSpectroscopy))),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ ├── Or(Not(Electroencephalogram($x16)),Not(FMRI($x16)))\n│ └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n├── Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ ├── Or(FMRI(nearInfraredSpectroscopy),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ │ └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ └── Or(Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(FMRI(nearInfraredSpectroscopy))),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n│ ├── Or(Not(Electroencephalogram($x16)),Not(FMRI($x16)))\n│ └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n├── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Uses(nearInfraredSpectroscopy,electrode))\n│ ├── Or(Magnetoencephalography(nearInfraredSpectroscopy),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n│ └── Or(Not(Magnetoencephalography(nearInfraredSpectroscopy)),Uses(nearInfraredSpectroscopy,electrode))\n│ ├── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n│ └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n│ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ └── Or(Or(Not(FMRI(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n│ ├── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n│ └── Or(Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n│ ├── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n│ └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n└── Or(Not(Magnetoencephalography(nearInfraredSpectroscopy)),Uses(nearInfraredSpectroscopy,electrode))\n ├── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n ├── Or(Electroencephalogram($x16),FMRI($x16))\n └── Or(Or(Not(FMRI(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n ├── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n └── Or(Or(Measures(nearInfraredSpectroscopy,voltageChange),Not(Magnetoencephalography(nearInfraredSpectroscopy))),Uses(nearInfraredSpectroscopy,electrode))\n ├── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n └── Or(Or(Electroencephalogram(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n', 'Implies(And(Or(Measures(nearInfraredSpectroscopy,voltageChange),Uses(nearInfraredSpectroscopy,electrode)),Not(And(Measures(nearInfraredSpectroscopy,voltageChange),Uses(nearInfraredSpectroscopy,electrode)))),And(Uses(nearInfraredSpectroscopy,electrode),FMRI(nearInfraredSpectroscopy)))\n├── Or(Not(Measures(nearInfraredSpectroscopy,voltageChange)),Uses(nearInfraredSpectroscopy,electrode))\n│ └── Or(Not(Measures($x13,voltageChange)),Uses($x13,electrode))\n│ ├── Or(Electroencephalogram($x19),Not(Measures($x19,voltageChange)))\n│ │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ │ └── Or(Not(FMRI($x19)),Not(Measures($x19,voltageChange)))\n│ └── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n├── Or(Or(FMRI(nearInfraredSpectroscopy),Measures(nearInfraredSpectroscopy,voltageChange)),Not(Uses(nearInfraredSpectroscopy,electrode)))\n│ └── FMRI(nearInfraredSpectroscopy)\n│ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ └── Or(FMRI(nearInfraredSpectroscopy),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n│ ├── Or(FMRI(nearInfraredSpectroscopy),Magnetoencephalography(nearInfraredSpectroscopy))\n│ │ ├── Or(Electroencephalogram($x16),FMRI($x16))\n│ │ └── Or(Magnetoencephalography(nearInfraredSpectroscopy),Not(Electroencephalogram(nearInfraredSpectroscopy)))\n│ └── Or(Not(Electroencephalogram(nearInfraredSpectroscopy)),Not(Magnetoencephalography(nearInfraredSpectroscopy)))\n└── Or(Or(FMRI(nearInfraredSpectroscopy),Not(Measures(nearInfraredSpectroscopy,voltageChange))),Uses(nearInfraredSpectroscopy,electrode))\n └── Or(FMRI($x13),Uses($x13,electrode))\n ├── Or(Electroencephalogram($x16),FMRI($x16))\n └── Or(Not(Electroencephalogram($x13)),Uses($x13,electrode))\n']" 443,"Some teachers who work at pools are not nice. All teachers working at pools are pool managers. All pool managers are lifeguards. If someone is a lifeguard, then they work at a pool. Mary does not work at a pool.","Mary is nice. Mary is not a nice teacher working at a pool. Mary is is a nice teacher working at a pool.","U T F","∃x (Teacher(x) ∧ WorkAt(x, pool) ∧ ¬Nice(x)) ∀x (Teacher(x) ∧ WorkAt(x, pool) → PoolManager(x)) ∀x (PoolManager(x) → Lifeguard(x)) ∀x (Lifeguard(x) → WorkAt(x, pool)) ¬WorkAt(mary, pool)","Nice(mary) ¬(Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool)) Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool)","['Not found', 'Or(Or(Not(Nice(mary)),Not(Teacher(mary))),Not(WorkAt(mary,pool)))\n└── Not(WorkAt(mary,pool))\n', 'Or(Or(Not(Nice(mary)),Not(Teacher(mary))),Not(WorkAt(mary,pool)))\n└── Not(WorkAt(mary,pool))\n']" 379,"People who are born in a multiple birth with siblings spend a lot of time hanging out with and playing with their siblings. If people have siblings who were born together, then they were born in a multiple birth. If people complain often about annoying siblings, then they have siblings who were born together. If people live at home, then they do not live with strangers. If people spend a lot of time hanging out with and playing with their siblings, then they often live at home. Luke either is a baby born in a multiple birth and live with strangers, or is not a baby born in a multiple birth and does not live with strangers","Luke spends a lot of time hanging out and playing with his siblings. Luke complains often about annoying siblings. Luke is neither born in a multiple birth nor complains often about annoying siblings.","U F T","∀x (BornIn(x, multipleBirth) → SpendTimePlayingWith(x, sibling)) ∀x (∃y (Sibling(x, y) ∧ BornTogether(y)) → BornIn(x, multipleBirth)) ∀x (ComplainAboutOften(x, annoyingSiblings) → ∃y (Sibling(x, y) ∧ BornTogether(y))) ∀x (LiveAt(x, home) → ¬LiveWith(x, strangers)) ∀x (SpendTimeplayingWith(x, sibling) → LiveAt(x, home)) ¬(BornIn(luke, multipleBirth) ⊕ LiveWith(luke, strangers))","SpendTime(luke, playingWith, siblings) ComplainAboutOften(luke, annoyingSiblings) ¬(BornIn(luke, multipleBirth) ∨ ComplainAbout(luke, often, annoyingSiblings) )","['Not found', 'Not found', 'Not found']" 441,"No one nice to animals is also mean to animals. Some grumpy people are mean to animals. All animal lovers are nice to animals. All pet owners love animals. Tom is a pet owner.","Tom is a grumpy person. Tom is not both a grumpy person and mean to animals. If Tom is not both a grumpy person and mean to animals, then Tom is neither a grumpy person nor an animal lover.","U T F","∀x (NiceTo(x, animal) → ¬MeanTo(x, animal)) ∃x (Grumpy(x) ∧ MeanTo(x, animal)) ∀x (AnimalLover(x) → NiceTo(x, animal)) ∀x (PetOwner(x) → AnimalLover(x)) PetOwner(tom)","Grumpy(tom) ¬(Grumpy(tom) ∧ MeanTo(tom, animal)) ¬(Grumpy(tom) ∧ MeanTo(tom, animal)) → ¬Grumpy(tom) ∧ ¬AnimalLover(tom))","['Not found', 'Or(Not(Grumpy(tom)),Not(MeanTo(tom,animal)))\n└── Not(MeanTo(tom,animal))\n ├── NiceTo(tom,animal)\n │ ├── AnimalLover(tom)\n │ │ ├── Or(AnimalLover($x112),Not(PetOwner($x112)))\n │ │ └── PetOwner(tom)\n │ └── Or(NiceTo($x19,animal),Not(AnimalLover($x19)))\n └── Or(Not(MeanTo($x13,animal)),Not(NiceTo($x13,animal)))\n', 'Not(Implies(Not(And(Grumpy(tom),MeanTo(tom,animal))),And(Not(Grumpy(tom)),Not(AnimalLover(tom)))))\n├── Or(AnimalLover(tom),Grumpy(tom))\n│ └── AnimalLover(tom)\n│ ├── Or(AnimalLover($x112),Not(PetOwner($x112)))\n│ └── PetOwner(tom)\n└── Or(Not(Grumpy(tom)),Not(MeanTo(tom,animal)))\n └── Not(MeanTo(tom,animal))\n ├── NiceTo(tom,animal)\n │ ├── AnimalLover(tom)\n │ │ ├── Or(AnimalLover($x112),Not(PetOwner($x112)))\n │ │ └── PetOwner(tom)\n │ └── Or(NiceTo($x19,animal),Not(AnimalLover($x19)))\n └── Or(Not(MeanTo($x13,animal)),Not(NiceTo($x13,animal)))\n']" 466,"All employees under Peter are engineers or scientists. If an employee under Peter is an engineer, then the employee is hard-working. If an employee under Peter is a scientist, then the employee is well compensated. If an employee under Peter is well compensated, then the employee does not work remotely. If an employee under Peter refuses to work in person, then the employee works remotely. Pan is an employee under Peter and if Pan is not both working remotely and well-compensated, then Pan works remotely. ","Pan refuses to work in person. Pan refuses to work in person or is hard-working. Pan neither refuses to work in person nor is hard-working.","U T F","∀x (Empolyee(x) ∧ ManagedBy(x, peter) → Engineer(x) ∨ Scientist(x)) ∀x (Empolyee(x) ∧ ManagedBy(x, peter) ∧ Engineer(x) → HardWorking(x)) ∀x (Empolyee(x) ∧ ManagedBy(x, peter) ∧ Scientist(x) → WellCompensated(x)) ∀x (Empolyee(x) ∧ ManagedBy(x, peter) ∧ WellCompensated(x) → ¬WorkRemotely(x)) ∀x (Empolyee(x) ∧ ManagedBy(x, peter) ∧ RefuseToWorkInPerson(x) → WorkRemotely(x)) Empolyee(pan) ∧ ManagedBy(pan, peter) ∧ (¬(WorkRemotely(pan) ∧ WellCompensated(pan)) → WorkRemotely(pan))","RefuseToWorkInPerson(pan) RefuseToWorkInPerson(pan) ∨ HardWorking(pan) ¬RefuseToWorkInPerson(pan) ∧ ¬HardWorking(pan)","['Not found', 'Or(HardWorking(pan),RefuseToWorkInPerson(pan))\n└── HardWorking(pan)\n ├── ManagedBy(pan,peter)\n └── Or(HardWorking(pan),Not(ManagedBy(pan,peter)))\n ├── Empolyee(pan)\n └── Or(Or(HardWorking(pan),Not(Empolyee(pan))),Not(ManagedBy(pan,peter)))\n ├── Or(Or(Engineer(pan),Not(Empolyee(pan))),Not(ManagedBy(pan,peter)))\n │ ├── Or(Or(Not(Empolyee(pan)),Not(ManagedBy(pan,peter))),Not(Scientist(pan)))\n │ │ ├── Or(Or(Not(Empolyee(pan)),Not(ManagedBy(pan,peter))),Not(WellCompensated(pan)))\n │ │ │ ├── Or(Or(Or(Not(Empolyee($x112)),Not(ManagedBy($x112,peter))),Not(WellCompensated($x112))),Not(WorkRemotely($x112)))\n │ │ │ └── WorkRemotely(pan)\n │ │ └── Or(Or(Or(Not(Empolyee($x19)),Not(ManagedBy($x19,peter))),Not(Scientist($x19))),WellCompensated($x19))\n │ └── Or(Or(Or(Engineer($x13),Not(Empolyee($x13))),Not(ManagedBy($x13,peter))),Scientist($x13))\n └── Or(Or(Or(HardWorking($x16),Not(Empolyee($x16))),Not(Engineer($x16))),Not(ManagedBy($x16,peter)))\n', 'Or(HardWorking(pan),RefuseToWorkInPerson(pan))\n└── HardWorking(pan)\n ├── ManagedBy(pan,peter)\n └── Or(HardWorking(pan),Not(ManagedBy(pan,peter)))\n ├── Empolyee(pan)\n └── Or(Or(HardWorking(pan),Not(Empolyee(pan))),Not(ManagedBy(pan,peter)))\n ├── Or(Or(Engineer(pan),Not(Empolyee(pan))),Not(ManagedBy(pan,peter)))\n │ ├── Or(Or(Not(Empolyee(pan)),Not(ManagedBy(pan,peter))),Not(Scientist(pan)))\n │ │ ├── Or(Or(Not(Empolyee(pan)),Not(ManagedBy(pan,peter))),Not(WellCompensated(pan)))\n │ │ │ ├── Or(Or(Or(Not(Empolyee($x112)),Not(ManagedBy($x112,peter))),Not(WellCompensated($x112))),Not(WorkRemotely($x112)))\n │ │ │ └── WorkRemotely(pan)\n │ │ └── Or(Or(Or(Not(Empolyee($x19)),Not(ManagedBy($x19,peter))),Not(Scientist($x19))),WellCompensated($x19))\n │ └── Or(Or(Or(Engineer($x13),Not(Empolyee($x13))),Not(ManagedBy($x13,peter))),Scientist($x13))\n └── Or(Or(Or(HardWorking($x16),Not(Empolyee($x16))),Not(Engineer($x16))),Not(ManagedBy($x16,peter)))\n']" 393,"All inductive reasoning processes derive general principles from a body of observations. Two major types of reasoning rules are inductive reasoning and deductive reasoning. All deductive reasoning processes are only based on facts and rules. Nothing only based on facts and rules is used for statistical generalization. Modus Ponens is not both used in inductive reasoning and used for statistical generalization. Modus Ponens is a component of a major part of reasoning rule. ","Reasoning with Modus Ponens is based on facts and rules. Modus Ponens derives general principles from a body of observations and is used for statistical generalization. If Modus Ponens either derives general principles from a body of observations and is used for statistical generalization, or neither, then Modus Ponens is is neither used in inductive reasoning nor used for statistical generalization.","U F T","∀x (InductiveReasoning(x) → DeriveFrom(generalPrinciple, observations)) ∀x (MajorArgumentForm(x) → (InductiveReasoning(x) ⊕ DeductiveReasoning(x)) ∀x (DeductiveReasoning(x) → (BasedOn(x, fact) ∨ BasedOn(x, rule))) ∀x ((BasedOn(x, fact) ∨ BasedOn(x, rule)) → (¬UsedFor(x, statisticalGeneralization))) ¬(InductiveReasoning(modusPonens) ∧ UsedFor(modusPonens, statisticalGeneralization)) ArgumentForm(modusPonens)","BasedOn(x, fact) ∨ BasedOn(x, rule) DeriveFrom(generalPrinciple, observations) ∧ UsedFor(x, statisticalGeneralization) ¬(Derive(generalPrinciple, observations) ⊕ UsedFor(x, statisticalGeneralization)) → (¬InductiveReasoning(modusPonens) ∧ (¬UsedFor(modusPonens, statisticalGeneralization)))","['Not found', 'Not found', 'Not found']" 419,"Some employees in James's town who work in business analysis are good at math. All of the employees in James's town who work in business analysis are working for this company. None of the employees in James's town who work for this company are from China. All of the employees in James's town working in software engineering are from China. Leif is an employee in James's town, and he is working in software engineering. ","Leif is good at math. Leif is not both good at math and working in business analysis. If Leif is not both good at math and in business analysis, then he is neither working in this company nor working in software engineering.","U F T","∃x ∃y (EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis) ∧ GoodAt(x, math) ∧ (¬(x=y)) ∧ EmployeeIn(y, jamesSTown) ∧ WorkIn(y, businessAnalysis) ∧ GoodAt(y, math)) ∀x ((EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis)) → WorkFor(x, thisCompany)) ∀x ((EmployeeIn(x, jamesSTown) ∧ WorkFor(x, thisCompany)) → ¬From(x, china)) ∀x (EmployeeIn(x, jamesSTown) ∧ WorkIn(x, softwareEngineering) → From(x, china)) EmployeeIn(leif, jamesSTown) ∧ WorkIn(leif, softwareEngineering)","EmployeesInJamesSTown(leif) ∧ GoodAt(leif, math) ¬(GoodAt(leif, math) ∧ WorkIn(leif, businessAnalysis)) ¬(GoodAt(leif, math) ∧ WorkIn(leif, businessAnalysis)) → (¬WorkFor(x, thisCompany) ∧ ¬WorkIn(x, softwareEngineering))","['Not found', 'Or(Not(GoodAt(leif,math)),Not(WorkIn(leif,businessAnalysis)))\n└── Not(WorkIn(leif,businessAnalysis))\n ├── EmployeeIn(leif,jamesSTown)\n └── Or(Not(EmployeeIn(leif,jamesSTown)),Not(WorkIn(leif,businessAnalysis)))\n ├── Or(Not(EmployeeIn(leif,jamesSTown)),Not(WorkFor(leif,thisCompany)))\n │ ├── Or(From(leif,china),Not(EmployeeIn(leif,jamesSTown)))\n │ │ ├── Or(Or(From($x112,china),Not(EmployeeIn($x112,jamesSTown))),Not(WorkIn($x112,softwareEngineering)))\n │ │ └── WorkIn(leif,softwareEngineering)\n │ └── Or(Or(Not(EmployeeIn($x19,jamesSTown)),Not(From($x19,china))),Not(WorkFor($x19,thisCompany)))\n └── Or(Or(Not(EmployeeIn($x16,jamesSTown)),Not(WorkIn($x16,businessAnalysis))),WorkFor($x16,thisCompany))\n', 'Not found']" 344,"All students are members of the university. All graduate students are students. All PhD students are graduate students. Some PhD students are Teaching Fellows. If John is not a PhD student, then he is not a member of the university. If John is a Teaching Fellow, then he is a PhD student or a graduate student.","John is a Teaching Fellow John is not a Teaching Fellow. John is a PhD student.","F T U","∀x (Student(x) → MemberOf(x, university)) ∀x (GraduateStudent(x) → Student(x)) ∀x (PhDStudent(x) → GraduateStudent(x)) ∃x (PhDStudent(x) ∧ TeachingFellow(x)) ¬PhDStudent(john) → ¬MemberOf(john, university) TeachingFellow(john) → PhDStudent(john) ⊕ GraduateStudent(john)","TF(john) ¬TF(john) PhDStudent(john)","['Not found', 'Not found', 'Not found']" 479,"Grass is not food All meadows are grass. All edible things are food. All fruits are edible. All lemons are fruit. Grapes are not both edible and lemons. Bananas are grasses or fruits. ","Grapes are food. Grapes are not a food. Bananas are both lemons and meadows. Bananas are not both a lemon and a meadow.","U U F T","∀x (Grass(x) → ¬Food(x)) ∀x (Meadow(x) → Grass(x)) ∀x (Edible(x) → Food(x)) ∀x (Fruit(x) → Edible(x)) ∀x (Lemon(x) → Fruit(x)) ¬(Edible(grape) ∧ Lemon(grape)) Grass(banana) ∨ Fruit(banana)","Food(grape) ¬Food(grape) Lemon(banana) ∧ Meadow(banana) ¬(Lemon(banana) ∧ Meadow(banana))","['Not found', 'Not found', 'Or(Not(Lemon(banana)),Not(Meadow(banana)))\n└── Or(Not(Lemon($x13)),Not(Meadow($x13)))\n ├── Or(Grass($x16),Not(Meadow($x16)))\n └── Or(Not(Grass($x13)),Not(Lemon($x13)))\n ├── Or(Food($x19),Not(Lemon($x19)))\n │ ├── Or(Edible($x115),Not(Lemon($x115)))\n │ │ ├── Or(Edible($x112),Not(Fruit($x112)))\n │ │ └── Or(Fruit($x115),Not(Lemon($x115)))\n │ └── Or(Food($x19),Not(Edible($x19)))\n └── Or(Not(Food($x13)),Not(Grass($x13)))\n', 'Or(Not(Lemon(banana)),Not(Meadow(banana)))\n└── Or(Not(Lemon($x13)),Not(Meadow($x13)))\n ├── Or(Grass($x16),Not(Meadow($x16)))\n └── Or(Not(Grass($x13)),Not(Lemon($x13)))\n ├── Or(Food($x19),Not(Lemon($x19)))\n │ ├── Or(Edible($x115),Not(Lemon($x115)))\n │ │ ├── Or(Edible($x112),Not(Fruit($x112)))\n │ │ └── Or(Fruit($x115),Not(Lemon($x115)))\n │ └── Or(Food($x19),Not(Edible($x19)))\n └── Or(Not(Food($x13)),Not(Grass($x13)))\n']" 395,"All velvet-finish lipsticks in the Rouge Dior set, Lunar New Year Limited Edition are refillable. Lipsticks in the Rouge Dior set, Lunar New Year Limited Edition have either a velvet-finish or a satin-finish. No satin-finish lipsticks in the set do not have ""rosewood"" in its offical description. Lipstcks in the Rouge Dior set, Lunar New Year Limited Edition either does not have ""rosewood"" in its offical description or it has ""rosewood"" in its official description. ROUGE Dior Colored Lip Balm 999 is a lipstick in the set, and it either has ""rosewood"" in its official description or has a velvet finish.","ROUGE Dior Colored Lip Balm 999 has a satin finish. ROUGE Dior Colored Lip Balm 999 has a satin finish and has ""rosewood"" in its official description. ROUGE Dior Colored Lip Balm 999 either is refillable or has ""rosewood"" in its official description. If ROUGE Dior Colored Lip Balm 999 is not both a velvet finish ipstick in the set and refillable, then it neither is refillable nor has ""rosewood"" in its official description. If ROUGE Dior Colored Lip Balm 999 is refillable and has ""rosewood"" in its official description, then it either has a velvet-finish or has ""rosewood"" in its official description. If ROUGE Dior Colored Lip Balm 999 either does not have ""rosewood"" in its official description or is refillable, then it has ""rosewood"" in its official description. If ROUGE Dior Colored Lip Balm 999 either does not have ""rosewood"" in its official description or is refillable, then it neither has a satin-finish nor has ""rosewood"" in its official description. If ROUGE Dior Colored Lip Balm 999 is refillable or has ""rosewood"" in its official description, then it either is refillable or has ""rosewood"" in its official description..","U T F T F F F F","∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ VelvetFinish(x)) → Refillable(x)) ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (VelvetFinish(x) ⊕ SatinFinish(x)) ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ SatinFinish(x)) → ¬RosewoodInDescription(x)) ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (RosewoodInDescription(x) ⊕ ¬RosewoodInDescription(x))) Lipstick(rougeDiorColoredLipBalm999) ∧ In(rougeDiorColoredLipBalm999, rougeDiorSet) ∧ In(rougeDiorColoredLipBalm999, lunarNewYearLimitedEdition) ∧ (RosewoodInDescription(rougeDiorColoredLipBalm999) ⊕ VelvetFinish(rougeDiorColoredLipBalm999))","SatinFinish(rougeDiorColoredLipBalm999) Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999) Refillable(rougeDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999) ¬((Lipstick(rougeDiorColoredLipBalm999) ∧ In(rougeDiorColoredLipBalm999, rougeDiorSet) ∧ In(rougeDiorColoredLipBalm999, lunarNewYearLimitedEdition) ∧ VelvetFinish(rougeDiorColoredLipBalm999) ∧ Refillable(rougeDiorColoredLipBalm999)) → (¬Refillable(rougeDiorColoredLipBalm999) ∧ ¬RosewoodInDescription(rougeDiorColoredLipBalm999))) (Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999)) —> (VelvetFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) (¬RosewoodInDescription(rougeEDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → RosewoodInDescription(rougeDiorColoredLipBalm999) (RosewoodInDescription(rougeDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → ¬(SatinFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) (Refillable(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) → (Refillable(rougeEDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999))","['SatinFinish(rougeDiorColoredLipBalm999)\n├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n└── Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),SatinFinish(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),SatinFinish(rougeDiorColoredLipBalm999))\n ├── Lipstick(rougeDiorColoredLipBalm999)\n └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n', 'Or(Not(Refillable(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n└── Not(RosewoodInDescription(rougeDiorColoredLipBalm999))\n ├── Lipstick(rougeDiorColoredLipBalm999)\n └── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n ├── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),SatinFinish(rougeDiorColoredLipBalm999))\n │ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n │ └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n └── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n', 'And(Or(Refillable(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999)),Not(And(Refillable(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999))))\n├── Or(Not(Refillable(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ └── Not(RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Lipstick(rougeDiorColoredLipBalm999)\n│ └── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ ├── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),SatinFinish(rougeDiorColoredLipBalm999))\n│ │ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ │ └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n│ └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ └── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n└── Or(Refillable(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999))\n ├── Lipstick(rougeDiorColoredLipBalm999)\n └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n ├── Or(Or(Or(Or(Not(In($x13,lunarNewYearLimitedEdition)),Not(In($x13,rougeDiorSet))),Not(Lipstick($x13))),Not(VelvetFinish($x13))),Refillable($x13))\n └── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),VelvetFinish(rougeDiorColoredLipBalm999))\n', 'Not(Implies(And(And(And(And(Lipstick(rougeDiorColoredLipBalm999),In(rougeDiorColoredLipBalm999,rougeDiorSet)),In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),VelvetFinish(rougeDiorColoredLipBalm999)),Refillable(rougeDiorColoredLipBalm999)),And(Not(Refillable(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))))\n├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n├── Lipstick(rougeDiorColoredLipBalm999)\n├── Or(Refillable(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Lipstick(rougeDiorColoredLipBalm999)\n│ └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Or(Or(Or(Or(Not(In($x13,lunarNewYearLimitedEdition)),Not(In($x13,rougeDiorSet))),Not(Lipstick($x13))),Not(VelvetFinish($x13))),Refillable($x13))\n│ └── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),VelvetFinish(rougeDiorColoredLipBalm999))\n├── Refillable(rougeDiorColoredLipBalm999)\n│ ├── Lipstick(rougeDiorColoredLipBalm999)\n│ └── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Refillable(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ └── Or(Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999))\n│ ├── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n│ └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999))\n│ ├── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n│ └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Or(Or(Or(Or(Not(In($x13,lunarNewYearLimitedEdition)),Not(In($x13,rougeDiorSet))),Not(Lipstick($x13))),Not(VelvetFinish($x13))),Refillable($x13))\n│ └── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),VelvetFinish(rougeDiorColoredLipBalm999))\n└── VelvetFinish(rougeDiorColoredLipBalm999)\n ├── Lipstick(rougeDiorColoredLipBalm999)\n └── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),VelvetFinish(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n └── Or(Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),Not(Lipstick(rougeDiorColoredLipBalm999))),VelvetFinish(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),VelvetFinish(rougeDiorColoredLipBalm999))\n ├── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999))),VelvetFinish(rougeDiorColoredLipBalm999))\n ├── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n └── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),VelvetFinish(rougeDiorColoredLipBalm999))\n', 'Not(RosewoodInDescription(rougeDiorColoredLipBalm999))\n├── Lipstick(rougeDiorColoredLipBalm999)\n└── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n ├── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),SatinFinish(rougeDiorColoredLipBalm999))\n │ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n │ └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n └── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n', 'Not found', 'Not(Implies(And(Or(RosewoodInDescription(rougeDiorColoredLipBalm999),Refillable(rougeDiorColoredLipBalm999)),Not(And(RosewoodInDescription(rougeDiorColoredLipBalm999),Refillable(rougeDiorColoredLipBalm999)))),Not(Or(SatinFinish(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999)))))\n├── Or(Not(Refillable(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ └── Not(RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Lipstick(rougeDiorColoredLipBalm999)\n│ └── Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999)))\n│ ├── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),SatinFinish(rougeDiorColoredLipBalm999))\n│ │ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ │ └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n│ └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(Lipstick(rougeDiorColoredLipBalm999))),Not(RosewoodInDescription(rougeDiorColoredLipBalm999))),Not(SatinFinish(rougeDiorColoredLipBalm999)))\n│ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ └── Or(Or(Or(Or(Not(In($x19,lunarNewYearLimitedEdition)),Not(In($x19,rougeDiorSet))),Not(Lipstick($x19))),Not(RosewoodInDescription($x19))),Not(SatinFinish($x19)))\n├── Or(Refillable(rougeDiorColoredLipBalm999),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Lipstick(rougeDiorColoredLipBalm999)\n│ └── Or(Or(Not(Lipstick(rougeDiorColoredLipBalm999)),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n│ └── Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n│ └── Or(Or(Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),Not(Lipstick(rougeDiorColoredLipBalm999))),Refillable(rougeDiorColoredLipBalm999)),RosewoodInDescription(rougeDiorColoredLipBalm999))\n│ ├── Or(Or(Or(Or(Not(In($x13,lunarNewYearLimitedEdition)),Not(In($x13,rougeDiorSet))),Not(Lipstick($x13))),Not(VelvetFinish($x13))),Refillable($x13))\n│ └── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),VelvetFinish(rougeDiorColoredLipBalm999))\n└── Or(RosewoodInDescription(rougeDiorColoredLipBalm999),SatinFinish(rougeDiorColoredLipBalm999))\n └── SatinFinish(rougeDiorColoredLipBalm999)\n ├── In(rougeDiorColoredLipBalm999,rougeDiorSet)\n └── Or(Not(In(rougeDiorColoredLipBalm999,rougeDiorSet)),SatinFinish(rougeDiorColoredLipBalm999))\n ├── In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)\n └── Or(Or(Not(In(rougeDiorColoredLipBalm999,lunarNewYearLimitedEdition)),Not(In(rougeDiorColoredLipBalm999,rougeDiorSet))),SatinFinish(rougeDiorColoredLipBalm999))\n ├── Lipstick(rougeDiorColoredLipBalm999)\n └── Or(Or(Or(Not(In($x16,lunarNewYearLimitedEdition)),Not(In($x16,rougeDiorSet))),Not(Lipstick($x16))),SatinFinish($x16))\n', 'Not found']" 399,"In Love City, everyone considers physical touch or words of affirmation to be their most important love language. If someone in Love City considers physical touch as their most important love language, then they are good with pets. If someone in Love City is good with pets, then they are not scared of animals. In Love City, everyone is scared of animals, or loves animals, or both. Adam, who is in Love City, either values physical touch as his most important love language or loves animals.","Adam is scared of animals. Adam considers words of affirmation to be the most important love language. Adam considers physical touch as the most important love language and considers words of affirmation as the most important love language. Adam either values physical touch as an especially important love language or values words of affirmation as an especially important love language. If Adam values physical touch as an especially important love language or is good with pets, then Adam values words of affirmation as an especially important love language.","U T F T T","∀x (In(x, loveCity) → (ConsidersMostImportantLoveLanguage(x, physicalTouch) ∨ ConsidersMostImportantLoveLanguage(x, wordOfAffirmation)) ∀x ((ConsidersMostImportantLoveLanguage(x, physicalTouch) ∧ In(x, loveCity) → GoodWith(x, pet)) ∀x ((GoodWith(x, pet) ∧ In(x, loveCity)) → ¬ScaredOf(x, animal)) ∀x (In(x, loveCity) → (ScaredOf(x, animal) ∨ Loves(x, animal))) (ConsidersMostImportantLoveLanguage(adam, physicalTouch) ⊕ Loves(adam, animal)) ∧ In(adam, loveCity)","ScaredOf(adam, animal) ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) ConsidersMostImportantLoveLanguage(adam, physicalTouch) ∧ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) ConsidersMostImportantLoveLanguage(adam, physicalTouch) ⊕ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) (ConsidersMostImportantLoveLanguage(adam, physicalTouch, mostImportantLoveLanguage) ∨ GoodWith(x, pet)) → ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation)","['Not(ScaredOf(adam,animal))\n├── In(adam,loveCity)\n└── Or(Not(In(adam,loveCity)),Not(ScaredOf(adam,animal)))\n ├── GoodWith(adam,pet)\n │ ├── In(adam,loveCity)\n │ └── Or(GoodWith($x16,pet),Not(In($x16,loveCity)))\n └── Or(Or(Not(GoodWith($x19,pet)),Not(In($x19,loveCity))),Not(ScaredOf($x19,animal)))\n', 'ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation)\n├── In(adam,loveCity)\n└── Or(ConsidersMostImportantLoveLanguage($x13,wordOfAffirmation),Not(In($x13,loveCity)))\n', 'Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation)))\n└── Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch))\n ├── In(adam,loveCity)\n └── Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(In(adam,loveCity)))\n ├── Or(GoodWith($x16,pet),Not(In($x16,loveCity)))\n └── Or(Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(GoodWith(adam,pet))),Not(In(adam,loveCity)))\n ├── Or(Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(In(adam,loveCity))),ScaredOf(adam,animal))\n │ ├── Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(Loves(adam,animal)))\n │ └── Or(Or(Loves($x112,animal),Not(In($x112,loveCity))),ScaredOf($x112,animal))\n └── Or(Or(Not(GoodWith($x19,pet)),Not(In($x19,loveCity))),Not(ScaredOf($x19,animal)))\n', 'And(Or(ConsidersMostImportantLoveLanguage(adam,physicalTouch),ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation)),Not(And(ConsidersMostImportantLoveLanguage(adam,physicalTouch),ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation))))\n├── Or(ConsidersMostImportantLoveLanguage(adam,physicalTouch),ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation))\n│ └── ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation)\n│ ├── In(adam,loveCity)\n│ └── Or(ConsidersMostImportantLoveLanguage($x13,wordOfAffirmation),Not(In($x13,loveCity)))\n└── Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(ConsidersMostImportantLoveLanguage(adam,wordOfAffirmation)))\n └── Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch))\n ├── In(adam,loveCity)\n └── Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(In(adam,loveCity)))\n ├── Or(GoodWith($x16,pet),Not(In($x16,loveCity)))\n └── Or(Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(GoodWith(adam,pet))),Not(In(adam,loveCity)))\n ├── Or(Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(In(adam,loveCity))),ScaredOf(adam,animal))\n │ ├── Or(Not(ConsidersMostImportantLoveLanguage(adam,physicalTouch)),Not(Loves(adam,animal)))\n │ └── Or(Or(Loves($x112,animal),Not(In($x112,loveCity))),ScaredOf($x112,animal))\n └── Or(Or(Not(GoodWith($x19,pet)),Not(In($x19,loveCity))),Not(ScaredOf($x19,animal)))\n', 'Not found']" 482,"If someone in Potterville yells, then they are not cool. If someone in Potterville is angry, then they yell. If someone in Potterville flies, then they are cool. Every person in Potterville that knows magic flies. All wizards in Potterville know magic. Harry, who lives in Potterville either yells or flies. Potter, who lives in Potterville, is a wizard and flies.","Harry is cool. Harry is not cool. Harry is a wizard or angry. Harry is neither a wizard nor angry.","U U F T","∀x (In(x, potterville) ∧ Yell(x) → ¬Cool(x)) ∀x (In(x, potterville) ∧ Angry(x) → Yell(x)) ∀x (In(x, potterville) ∧ Fly(x) → Cool(x)) ∀x (In(x, potterville) ∧ Know(x, magic) → Fly(x)) ∀x (In(x, potterville) ∧ Wizard(x) → Know(x, magic)) In(harry, potterville) ∧ (Yell(harry) ⊕ Fly(harry)) Wizard(potter) ∧ Fly(potter)","Cool(harry) ¬Cool(harry) Wizard(harry) ∨ Angry(harry) ¬Wizard(harry) ∧ ¬Angry(harry)","['Not found', 'Not found', 'Not found', 'Not found']" 349,"All disposables are designed to be used only once. Some items used in Tom's house are eco-friendly. Every item used in Tom's house is either disposable or reusable. If something is made from metal, then it is not made from plastic. All reusable items used in Tom's house are made from metal. The chopsticks used in Tom's house are either made from metals and plastics, or that they are neither made from metals nor plastics.","The chopsticks used in Tom's house are eco-friendly. The chopsticks used in Tom's house are eco-friendly or designed to be used only once. If chopsticks used in Tom's house are made from plastic or designed to be used only once, then they are made from plastic and are eco-friendly.","U T F","∀x (Disposable(x) → DesignedToBeOnlyUsedOnce(x)) ∃x (EcoFriendly(x)) ∀x (UsedIn(x, tomsHouse) → Disposable(x) ⊕ Reusable(x)) ∀x (MadeFrom(x, metal) → ¬MadeFrom(x, plastic)) ∀x (Reusable(x) → MadeFrom(x, metal)) ¬(MadeFrom(chopsticksUsedInTomsHouse, metal) ⊕ MadeFrom(chopsticksUsedInTomsHouse, plastic))","EcoFriendly(chopsticks) EcoFriendly(chopsticks) ∨ DesignedToBeOnlyUsedOnce(chopsticks) MadeFrom(chopsticks, plastic) ∨ DesignedBeOnlyUsedOnce(chopsticks) → MadeFrom(chopsticks, plastic) ∧ EcoFriendly(chopsticks)","['Not found', 'Not found', 'Not found']" 341,"No battery-powered watch is automatic. All digital watches are battery-powered. Some mechanical watches are automatic. All smart watches are digital. Moonwatch is either a digital watch and an automatic, or it is neither.","Moonwatch is a mechanical watch. Moonwatch is a smartwatch and a mechanical watch. If Moonwatch is a smartwatch and a mechanical watch, then Moonwatch is not a mechanical watch. If Moonwatch is a mechanical or battery-powered watch, then Moonwatch is not a smartwatch.","U F T T","∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x)) ∀x (DigitalWatch(x) → BatteryPoweredWatch(x)) ∃x (MechanicalWatch(x) ∧ AutomaticWatch(x)) ∀x (SmartWatch(x) → DigitalWatch(x)) ¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch))","MechanicalWatch(moonWatch) SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) → ¬MechanicalWatch(moonwatch) MechanicalWatch(moonwatch)) ∨ BatteryPoweredWatch(moonwatch) → ¬SmartWatch(moonwatch)","['Not found', 'Or(Not(MechanicalWatch(moonwatch)),Not(SmartWatch(moonwatch)))\n└── Not(SmartWatch(moonwatch))\n ├── Not(DigitalWatch(moonwatch))\n │ ├── Or(BatteryPoweredWatch($x16),Not(DigitalWatch($x16)))\n │ └── Or(Not(BatteryPoweredWatch(moonwatch)),Not(DigitalWatch(moonwatch)))\n │ ├── Or(AutomaticWatch(moonwatch),Not(DigitalWatch(moonwatch)))\n │ └── Or(Not(AutomaticWatch($x13)),Not(BatteryPoweredWatch($x13)))\n └── Or(DigitalWatch($x112),Not(SmartWatch($x112)))\n', 'Or(MechanicalWatch(moonwatch),Not(SmartWatch(moonwatch)))\n└── Not(SmartWatch(moonwatch))\n ├── Not(DigitalWatch(moonwatch))\n │ ├── Or(BatteryPoweredWatch($x16),Not(DigitalWatch($x16)))\n │ └── Or(Not(BatteryPoweredWatch(moonwatch)),Not(DigitalWatch(moonwatch)))\n │ ├── Or(AutomaticWatch(moonwatch),Not(DigitalWatch(moonwatch)))\n │ └── Or(Not(AutomaticWatch($x13)),Not(BatteryPoweredWatch($x13)))\n └── Or(DigitalWatch($x112),Not(SmartWatch($x112)))\n', 'Implies(Or(MechanicalWatch(moonwatch),BatteryPoweredWatch(moonwatch)),Not(SmartWatch(moonwatch)))\n├── Or(Not(BatteryPoweredWatch(moonwatch)),Not(SmartWatch(moonwatch)))\n│ ├── Or(DigitalWatch($x112),Not(SmartWatch($x112)))\n│ └── Or(Not(BatteryPoweredWatch(moonwatch)),Not(DigitalWatch(moonwatch)))\n│ ├── Or(AutomaticWatch(moonwatch),Not(DigitalWatch(moonwatch)))\n│ └── Or(Not(AutomaticWatch($x13)),Not(BatteryPoweredWatch($x13)))\n└── Or(Not(MechanicalWatch(moonwatch)),Not(SmartWatch(moonwatch)))\n └── Not(SmartWatch(moonwatch))\n ├── Not(DigitalWatch(moonwatch))\n │ ├── Or(BatteryPoweredWatch($x16),Not(DigitalWatch($x16)))\n │ └── Or(Not(BatteryPoweredWatch(moonwatch)),Not(DigitalWatch(moonwatch)))\n │ ├── Or(AutomaticWatch(moonwatch),Not(DigitalWatch(moonwatch)))\n │ └── Or(Not(AutomaticWatch($x13)),Not(BatteryPoweredWatch($x13)))\n └── Or(DigitalWatch($x112),Not(SmartWatch($x112)))\n']" 472,"Animals are either invertebrates or vertebrates. All animals with backbones reproduce by male-and-female mating. All vertebrate animals have a backbone. All bees do not reproduce by male-and-female mating. All queen bees are bees. Harry is a bee.","Harry is a queen bee. Harry is an invertebrate or a queen bee. If Harry is either both a vertebrate and an animal with a backbone, or neither a vertebrate nor an animal with a backbone, then Harry is neither an invertebrate nor a queen bee.","U T F","∀x (Animal(x) → Invertebrate(x) ⊕ Vertebrate(x)) ∀x (Animal(x) ∧ With(x, backbone) → ReproduceBy(x, male-and-femaleMating)) ∀x (Animal(x) ∧ Vertebrate(x) → With(x, backbone)) ∀x (Bee(x) → ¬ReproduceBy(x, male-and-femaleMating)) ∀x (QueenBee(x) → Bee(x)) Bee(harry)","QueenBee(harry) Invertebrate(harry) ∨ QueenBee(harry) ¬(Invertebrate(harry) ⊕ With(harry, backbone)) → ¬Invertebrate(harry) ∧ ¬QueenBee(harry)","['Not found', 'Not found', 'Not found']" 306,"If a restaurant is listed in Yelp’s recommendations, then the restaurant has not received many negative reviews. All restaurants with a rating greater than four are listed in Yelp’s recommendations. Some restaurants that do not provide take-out service receive many negative reviews. All restaurants that are popular among local residents have ratings greater than four. The Hamden Plaza Subway store has a rating greater than four, or it is popular among local residents.","If the Hamden Plaza Subway store provides take-out service and receives many negative reviews, then its rating is greater than 4 and it does not provide take-out service. The Hamden Plaza Subway store provides take-out service or does not receive many negative reviews. The Hamden Plaza store does not provide take-out service.","F T U","∀x ∃y (ListedIn(x, yelpRecommendation) → NegativeReview(y) ∧ ¬Receive(x, y)) ∀x ∀y (HaveRating(x, y) ∧ GreaterThan(y, 4) → ListedIn(x, yelpRecommendation)) ∃x ∃y (¬Provide(x, takeOutService) → NegativeReview(y) ∧ Receive(x, y)) ∀x ∀y (PopularAmong(x, localResidents) → HaveRating(x, y) ∧ GreaterThan(y, 4)) ∀x (HaveRating(hamdenPlazaSubway, x) ∧ GreaterThan(x, 4) ⊕ PopularAmong(hamdenPlazaSubway, localResidents))","∃x ((TakeOutService(hamdenPlazaSubway) ∧ NegativeReview(x) ∧ Receive(hamdenPlazaSubway, x) → PopularAmong(hamdenPlazaSubway, localResidents) ∧ ¬Provide(hamdenPlazaSubway, takeOutService)) ∃x (Provide(hamdenPlazaSubway, takeOutService) ∨ (NegativeReview(x) ∧ ¬Receive(hamdenPlazaSubway, x))) ¬Provide(hamdenPlazaSubway, takeOutService)","['Not found', 'Not found', 'Not found']" 387,"If some diseases require a medical diagnosis, then lab tests or imaging is required. All rare diseases require a medical diagnosis. If a disease is mild, then no lab tests or imaging is required. All blood cancers are rare diseases. All types of leukemia are diseases and blood cancers. Bladder cancer is a disease and is blood cancer or Leukemia.","Bladder cancer is a mild disease. Bladder cancer is Leukemia. Bladder cancer is either a rare disease or a mild disease.","F U T","∀x (Disease(x) ∧ Require(x, medicalDiagnosis) → RequiredFor(labTest, x) ∨ RequiredFor(imaging, x)) ∀x (RareDisease(x) → Require(x, medicalDiagnosis)) ∀x (Disease(x) ∧ Mild(x) → ¬(RequiredFor(labTest, x) ∨ RequiredFor(imaging, x))) ∀x (BloodCancer(x) → RareDiseases(x)) ∀x (Disease(x) ∧ Leukemia(x) → BloodCancer(x)) Disease(bladderCancer) ∧ (BloodCancer(bladderCancer) ∨ Leukemia(bladderCancer))","Mild(bladderCancer) Leukemia(bladderCancer) RareDisease(bladderCancer) ⊕ Mild(bladderCancer)","['Not found', 'Not found', 'Not found']" 331,"If someone has never left the United States, then they have not been to Europe. If someone has traveled to the Iberian Peninsula, then they have been to Europe. Everyone who has visited Barcelona has traveled to the Iberian Peninsula. Everyone who has taken a selfie at the Basilica Familia Sagrada has visited Madrid. If Kate has either taken a selfie at the Basilica Familia Sagrada or has never left the United States, then Kate has not either visited Barcelona or never left the United States.","Kate has traveled to Spain. Kate has taken a selfie at the Basilica Familia Sagrada. Kate has not taken a selfie at the Basilica Familia Sagrada. Kate has never left the United States. Kate has left the United States before. Kate either has taken a selfie at the Basilica Familia Sagrada or has never left the United States. If Kate has not both taken a selfie at the Basilica Familia Sagrada and been to Europe, then Kate has left the United States before. If Kate has not both taken a selfie at the Basilica Familia Sagrada and been to Europe, then Kate has taken a selfie at the Basilica Familia Sagrada.","U F T F T F T F","∀x (¬Left(x, uSA) → ¬BeenTo(x, europe)) ∀x (HaveTraveledTo(x, iberianPeninsula) → BeenTo(x, europe)) ∀x (HaveVisited(x, barcelona) → HaveTraveledTo(x, iberianPeninsula)) ∀x (TakenSelfieAt(x, basilicaSagradaFamilia) → HaveVisited(x, barcelona)) TakenSelfieAt(kate, basilicaSagradaFamilia) ⊕ NeverLeft(kate, uSA) → ¬(HaveVisited(kate, barcelona) ⊕ NeverLeft(kate, uSA))","HaveTraveledTo(kate, iberianPeninsula) TakenSelfieAt(kate, basilicaSagradaFamilia) ¬TakenSelfieAt(kate, basilicaSagradaFamilia) NeverLeft(kate, uSA) ¬NeverLeft(kate, uSA) TakenSelfieAt(kate, basilicaSagradaFamilia) ⊕ NeverLeft(kate, uSA) ¬(TakenSelfieAt(kate, basilicaSagradaFamilia) ∧ BeenTo(kate, europe)) → ¬NeverLeft(kate, uSA) ¬(TakenSelfieAt(kate, basilicaSagradaFamilia) ∧ BeenTo(kate, europe)) → TakenSelfieAt(kate, basilicaSagradaFamilia)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 307,"If a project is selected for ""Hall of Fame"" of the course, then it is not led by a team with two members. All work that is unfinished in the course is led by a team of two members. All work that is not presented in the final presentation is unfinished in the course. All work that does not receive a final grade in the course is not presented in the final presentation. The project called “Sustainable Energy Sources” does not receive a final grade in the course or it is not selected for the Hall of Fame in the course.","The project named “Sustainible Energy Sources"" is selected for the Hall of Fame in the course. The project named “Sustainible Energy Sources"" is not selected for the Hall of Fame in the course. The project named “Sustainible Energy Sources"" is unfinished in the course.","F T U","∀x (SelectedForInCourse(x, hallOfFame) → ¬(∃y ∃z (y!=z ∧ Member(y) ∧ TeamMember(z) ∧ LedBy(x, y) ∧ LedBy(x, z)))) ∀x (UnfinishedInCourse(x) → ∃y ∃z (y!=z ∧ TeamMember(y) ∧ TeamMember(z) ∧ LedBy(x, y) ∧ LedBy(x, z))) ∀x (NotPresentedIn(x, finalPresentation) → UnfinishedInCourse(x)) ∀x (NoFinalGradeInCourse(x) → NotPresentedIn(x, finalPresentation)) HaveInCourse(sustainibleEnergySources, finalGrade) ∨ ¬SelectedForInCourse(sustainibleEnergySources, hallOfFame)","SelectedForIncourse(sustainibleEnergySources, hallOfFame) SelectedForInCourse(sustainibleEnergySources, hallOfFame) UnfinishedInCourse(sustainibleEnergySources)","['Not found', 'Not found', 'Not found']" 334,"No one who attended ACL in the AI lab is an author of the AI lab's paper. All graduate students in the AI lab are authors of the AI lab's paper. All computer science students in the AI Lab doing research in NLP are graduate students. All PhD students in the AI Lab who took the applied linguistics course are computer science students doing research in NLP. Paul is in the AI lab. If Paul is either a computer science student doing research in NLP or if Paul attended ACL, then Paul is not an author of the AI lab's paper.","Paul is a member of the AI lab. Paul is a PhD student who took the applied linguistics course. Paul is not a PhD student who took the applied linguistics course","U F T","∀x (In(x, aILab) ∧ Attended(x, aCL) → ¬AuthorOf(x, aILabPaper)) ∀x (In(x, aILab) ∧ GraduateStudent(x) → Author(x, aILabPaper)) ∀x (In(x, aILab) ∧ Doing(x, nLPResearch) → GraduateStudent(x)) ∀x (In(x, aILab) ∧ PhDStudent(x) ∧ Took(x, appliedLinguisticsCourse) → Doing(x, nLPResearch)) In(paul, aILab) Doing(paul, nLPResearch) ⊕ AttendedACL(paul) → ¬AuthorOf(paul, aILabPaper)","GraduateStudent(paul) PhDStudent(paul) ∧ Took(paul, appliedLinguisticsCourse) ¬(PhDStudent(paul) ∧ Took(paul, appliedLinguisticsCourse))","['Not found', 'Not found', 'Not found']" 461,"Any convicted criminal that is innocent is not truly guilty. All convicted criminals who did not commit a crime are truly innocent. All convicted criminals are truly guilty or found guilty. If a convicted criminal is found guilty, then they are sentenced to a punishment. If a convicted criminal is found guilty, then they can argue against their punishment. Garry is a convicted criminal who not found guilty or is sentenced to punishment.","Garry is sentenced to a punishment. Garry did not commit a crime and can argue against his punishment. Garry is not both innocent and someone who did not commit a crime.","U F T","∀x (ConvictedCriminal(x) ∧ Innocent(x) → ¬TrulyGuilty(x)) ∀x (ConvictedCriminal(x) ∧ ¬CommitCrime(x) → Innocent(x)) ∀x (ConvictedCriminal(x) ∧ (TrulyGuilty(x) ∨ FoundGuilty(x))) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → SentencedToPunishment(x)) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → CanArgueAgainst(x, punishment)) ConvictedCriminal(garry) ∧ (¬(FoundGuilty(garry) ∨ SentencedToPunishment(garry)))","SentencedToPunishment(garry) ¬CommitCrime(garry) ∧ CanArgueAgainst(garry, punishment) ¬(Innocent(garry) ∧ ¬CommitCrime(garry))","['Not(SentencedToPunishment(garry))\n', 'Or(CommitCrime(garry),Not(CanArgueAgainst(garry,punishment)))\n└── CommitCrime(garry)\n ├── ConvictedCriminal($x19)\n └── Or(CommitCrime(garry),Not(ConvictedCriminal(garry)))\n ├── Or(Not(ConvictedCriminal(garry)),Not(Innocent(garry)))\n │ ├── Or(Or(Not(ConvictedCriminal($x13)),Not(Innocent($x13))),Not(TrulyGuilty($x13)))\n │ └── TrulyGuilty(garry)\n │ ├── Not(FoundGuilty(garry))\n │ └── Or(FoundGuilty($x19),TrulyGuilty($x19))\n └── Or(Or(CommitCrime($x16),Innocent($x16)),Not(ConvictedCriminal($x16)))\n', 'Or(CommitCrime(garry),Not(Innocent(garry)))\n└── CommitCrime(garry)\n ├── ConvictedCriminal($x19)\n └── Or(CommitCrime(garry),Not(ConvictedCriminal(garry)))\n ├── Or(Not(ConvictedCriminal(garry)),Not(Innocent(garry)))\n │ ├── Or(Or(Not(ConvictedCriminal($x13)),Not(Innocent($x13))),Not(TrulyGuilty($x13)))\n │ └── TrulyGuilty(garry)\n │ ├── Not(FoundGuilty(garry))\n │ └── Or(FoundGuilty($x19),TrulyGuilty($x19))\n └── Or(Or(CommitCrime($x16),Innocent($x16)),Not(ConvictedCriminal($x16)))\n']" 455,"All philosophers reason. Some sophists reason. All who can reason can distinguish truth from falsehood. Nobody who can distinguish truth from falsehood is morally perfect. The theistic God is morally perfect.","The theistic God is a sophist. The theistic God is a sophist and a philosopher. if the theistic God is a philosopher, then he is not a sophist.","U F T","∀x (Philosopher(x) → Reason(x)) ∃x (Sophist(x) ∧ Reason(x)) ∀x (Reason(x) → CanDistinguishFrom(x, truth, falsehood)) ∀x (CanDistinguishFrom(x, truth, falsehood) → ¬MorallyPerfect(x)) MorallyPerfect(theisticGod)","Sophist(theisticGod) Sophist(theisticGod) ∧ Philosopher(theisticGod) Philosopher(theisticGod) → ¬Sophist(theisticGod)","['Not found', 'Or(Not(Philosopher(theisticGod)),Not(Sophist(theisticGod)))\n└── Not(Philosopher(theisticGod))\n ├── Not(Reason(theisticGod))\n │ ├── Not(CanDistinguishFrom(theisticGod,truth,falsehood))\n │ │ ├── MorallyPerfect(theisticGod)\n │ │ └── Or(Not(CanDistinguishFrom($x112,truth,falsehood)),Not(MorallyPerfect($x112)))\n │ └── Or(CanDistinguishFrom($x19,truth,falsehood),Not(Reason($x19)))\n └── Or(Not(Philosopher($x13)),Reason($x13))\n', 'Or(Not(Philosopher(theisticGod)),Not(Sophist(theisticGod)))\n└── Not(Philosopher(theisticGod))\n ├── Not(Reason(theisticGod))\n │ ├── Not(CanDistinguishFrom(theisticGod,truth,falsehood))\n │ │ ├── MorallyPerfect(theisticGod)\n │ │ └── Or(Not(CanDistinguishFrom($x112,truth,falsehood)),Not(MorallyPerfect($x112)))\n │ └── Or(CanDistinguishFrom($x19,truth,falsehood),Not(Reason($x19)))\n └── Or(Not(Philosopher($x13)),Reason($x13))\n']" 440,"All tigers are cats. No cats are dogs. All Bengal tigers are tigers. All huskies are dogs. Fido is either a Bengal tiger or a cat.","Fido is a husky animal. Fido is not a husky. Fido is a Bengal tiger. Fido is neither a dog nor a husky.","F T U T","∀x (Tiger(x) → Cat(x)) ∀x (Cat(x) → ¬Dog(x)) ∀x (BengalTiger(x) → Tiger(x)) ∀x (Husky(x) → Dog(x)) BengalTiger(fido) ⊕ Cat(fido)","Husky(fido) ¬Husky(fido) BengalTiger(fido) ¬Dog(fido) ∧ ¬Husky(fido)","['Not(Husky(fido))\n├── Not(Dog(fido))\n│ ├── Or(Cat(fido),Not(Dog(fido)))\n│ │ ├── Or(Cat($x13),Not(Tiger($x13)))\n│ │ └── Or(Not(Dog(fido)),Tiger(fido))\n│ │ ├── Or(BengalTiger(fido),Not(Dog(fido)))\n│ │ │ ├── Or(BengalTiger(fido),Cat(fido))\n│ │ │ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n│ │ └── Or(Not(BengalTiger($x19)),Tiger($x19))\n│ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n└── Or(Dog($x112),Not(Husky($x112)))\n', 'Not(Husky(fido))\n├── Not(Dog(fido))\n│ ├── Or(Cat(fido),Not(Dog(fido)))\n│ │ ├── Or(Cat($x13),Not(Tiger($x13)))\n│ │ └── Or(Not(Dog(fido)),Tiger(fido))\n│ │ ├── Or(BengalTiger(fido),Not(Dog(fido)))\n│ │ │ ├── Or(BengalTiger(fido),Cat(fido))\n│ │ │ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n│ │ └── Or(Not(BengalTiger($x19)),Tiger($x19))\n│ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n└── Or(Dog($x112),Not(Husky($x112)))\n', 'Not(BengalTiger(fido))\n├── Or(Not(BengalTiger($x19)),Tiger($x19))\n└── Or(Not(BengalTiger(fido)),Not(Tiger(fido)))\n ├── Or(Cat($x13),Not(Tiger($x13)))\n └── Or(Not(BengalTiger(fido)),Not(Cat(fido)))\n', 'And(Not(Dog(fido)),Not(Husky(fido)))\n├── Not(Dog(fido))\n│ ├── Or(Cat(fido),Not(Dog(fido)))\n│ │ ├── Or(Cat($x13),Not(Tiger($x13)))\n│ │ └── Or(Not(Dog(fido)),Tiger(fido))\n│ │ ├── Or(BengalTiger(fido),Not(Dog(fido)))\n│ │ │ ├── Or(BengalTiger(fido),Cat(fido))\n│ │ │ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n│ │ └── Or(Not(BengalTiger($x19)),Tiger($x19))\n│ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n└── Not(Husky(fido))\n ├── Not(Dog(fido))\n │ ├── Or(Cat(fido),Not(Dog(fido)))\n │ │ ├── Or(Cat($x13),Not(Tiger($x13)))\n │ │ └── Or(Not(Dog(fido)),Tiger(fido))\n │ │ ├── Or(BengalTiger(fido),Not(Dog(fido)))\n │ │ │ ├── Or(BengalTiger(fido),Cat(fido))\n │ │ │ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n │ │ └── Or(Not(BengalTiger($x19)),Tiger($x19))\n │ └── Or(Not(Cat($x16)),Not(Dog($x16)))\n └── Or(Dog($x112),Not(Husky($x112)))\n']" 475,"Everyone who is entitled to national social insurance coverage can have their medical bills partially covered. All PRC nationals are entitled to national social insurance coverage. Everyone in the Franco-China diplomatic conference is either a PRC national or a French national, but not both. All French nationals are citizens of the European Union. All Spanish nationals are citizens of the European Union. No North Korean nationals are citizens of the European Union. Mei is at the Franco-China diplomatic conference. Either Mei is a North Korean and can have medical bills partially covered, or neither is true.","Mei is a PRC national. Mei is not a PRC national. If Mei is either a North Korean or a Spanish national, then Mei is either both a French national and a citizen of the European Union, or neither a French national nor a citizen of the European Union.","U U T","∀x (EntitledTo(x, nationalSocialInsuranceCoverage) → CanHavePartiallyCovered(x, medicalBills)) ∀x (PRCNational(x) → EntitledTo(x, nationalSocialInsuranceCoverage)) ∀x (In(x, franco-ChinaDiplomaticConference) → PRCNational(x) ⊕ FrenchNational(x)) ∀x (FrenchNational(x) → CitizenOf(x, europeanUnion)) ∀x (SpanishNational(x) → CitizenOf(x, europeanUnion)) ∀x (NorthKoreanNational(x) → ¬CitizenOf(x, europeanUnion)) In(mei, franco-ChinaDiplomaticConference) ¬(NorthKoreanNational(mei) ⊕ CanHavePartiallyCovered(mei, medicalBills))","PRCNational(mei) ¬PRCNational(mei) NorthKoreanNational(mei) ⊕ SpanishNational(mei) → ¬(FrenchNational(mei) ⊕ European(mei))","['Not found', 'Not found', 'Not found']" 418,"Some monitors equipped in the library are produced by AOC. All monitors equipped in the library are cheaper than 800 dollars. All monitors cheaper than 800 dollars are with a resolution lower than 1080p. If a monitor has a resolution lower than 1080p, then it does not support the type-c port. A-2017 supports the type-c port. ","A-2017 is produced by AOC. A-2017 is produced by AOC and equipped in the library. If either A-2017 is both with a resolution of 1080p and produced by AOC or it is neither, then it is not equipped in the library.","U F T","∃x ∃y (Monitor(x) ∧ ProducedBy(x, aOC) ∧ In(x, library) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, aOC) ∧ In(y, library)) ∀x ((Monitor(x) ∧ In(x, library)) → CheaperThan(x, dollars800)) ∀x ((Monitor(x) ∧ CheaperThan(x, dollars800)) → ResolutionLessThan(x, p1080)) ∀x ((Monitor(x) ∧ ResolutionLessThan(x, p1080)) → ¬Supports(x, type-CPort)) Supports(a-2017, type-CPort)","ProducedBy(x, aOC) ProducedBy(a-2017, aOC) ∧ In(a-2017, library) ¬(ResolutionLessThan(a-2017, p1080) ⊕ ProducedBy(x, aOC)) → ¬(In(a-2017, library))","['Not found', 'Not found', 'Not found']" 439,"No fish are birds. An osprey is a bird. A carp is a fish. All goldfish are carp. If Bubbles is either an osprey or a goldfish, then Bubbles is not also a fish.","Bubbles is an Osprey. Bubbles is a goldfish. Bubbles is not a goldfish.","U F T","∀x (Fish(x) → ¬Bird(x)) ∀x (Osprey(x) → Bird(x)) ∀x (Carp(x) → Fish(x)) ∀x (Goldfish(x) → Carp(x)) Osprey(bubbles) ⊕ Goldfish(bubbles) → ¬Fish(bubbles)","Osprey(bubbles) Goldfish(bubbles) ¬Goldfish(bubbles)","['Not found', 'Not(Goldfish(bubbles))\n├── Or(Carp($x112),Not(Goldfish($x112)))\n└── Or(Not(Carp(bubbles)),Not(Goldfish(bubbles)))\n ├── Or(Fish($x19),Not(Carp($x19)))\n └── Or(Not(Fish(bubbles)),Not(Goldfish(bubbles)))\n ├── Or(Not(Bird($x13)),Not(Fish($x13)))\n └── Or(Or(Bird(bubbles),Not(Fish(bubbles))),Not(Goldfish(bubbles)))\n ├── Or(Bird($x16),Not(Osprey($x16)))\n └── Or(Or(Not(Fish(bubbles)),Not(Goldfish(bubbles))),Osprey(bubbles))\n', 'Not(Goldfish(bubbles))\n├── Or(Carp($x112),Not(Goldfish($x112)))\n└── Or(Not(Carp(bubbles)),Not(Goldfish(bubbles)))\n ├── Or(Fish($x19),Not(Carp($x19)))\n └── Or(Not(Fish(bubbles)),Not(Goldfish(bubbles)))\n ├── Or(Not(Bird($x13)),Not(Fish($x13)))\n └── Or(Or(Bird(bubbles),Not(Fish(bubbles))),Not(Goldfish(bubbles)))\n ├── Or(Bird($x16),Not(Osprey($x16)))\n └── Or(Or(Not(Fish(bubbles)),Not(Goldfish(bubbles))),Osprey(bubbles))\n']" 433,"There are no buildings in New Haven higher than 400 meters. All buildings managed by Yale Housing are in New Haven. All Manhattan skyscrapers are higher than 400 meters. All buildings owned by Bloomberg are in Manhattan. All buildings with the Bloomberg logo are buildings owned by Bloomberg. Tower A is neither a building in New Haven nor a skyscraper in Manhattan. Tower B is a skyscraper building in Manhattan with a Bloomberg logo. ","Tower A is higher than 400 meters. Tower A is not higher than 400 meters. Tower A is a building with the Bloomberg logo or it is managed by Yale Housing. Tower A is neither a building with the Bloomberg logo nor managed by Yale Housing.","U U F T","∀x ((Buildings(x) ∧ In(x, newHaven)) → ¬HigherThan(x, num400)) ∀x ((Buildings(x) ∧ ManagedBy(x, yaleHousing)) → In(x, newHaven)) ∀x ((Buildings(x) ∧ Skyscraper(x) ∧ In(x, manhattan)) → HigherThan(x, num400)) ∀x ((Buildings(x) ∧ OwnedBy(x, bloomberg)) → Skyscraper(x) ∧ In(x, manhattan)) ∀x ((Buildings(x) ∧ HasLogo(x, bloomberg)) → OwnedBy(x, bloomberg)) Buildings(towerA) ∧ (¬InNewHaven(towerA)) ∧ (¬ManhattanSkyscraper(towerA)) Buildings(towerB) ∧ HasLogo(towerB, bloomberg) ∧ Skyscraper(towerB) ∧ In(towerB, manhattan)","HigherThan(towerA, num400) ¬HigherThan(towerA, num400) HasLogo(towerB, bloomberg) ∨ ManagedBy(x, yaleHousing) ¬HasLogo(towerB, bloomberg) ∧ (¬ManagedBy(x, yaleHousing))","['Not found', 'Not found', 'Not found', 'Not found']" 486,"Everything in Size Town is big or small. All big things in Size Town are heavy. All small things in Size Town are light. All heavy things in Size Town are still. All light things in Size Town are unstable. All unstable things in Size Town are changing. All unstable things in Size Town are unpredictable. The bird is in Size Town and it is not both heavy and still.","The bird is still. The bird is not still. The bird is unpredictable and changing. The bird is unpredictable or changing. The bird is either unpredictable or changing. If the bird is small or still, then it is either unpredictable or changing.","U U T T F F","∀x (In(x, sizeTown) → (Big(x) ∨ Small(x))) ∀x (Big(x) ∧ In(x, sizeTown) → Heavy(x)) ∀x (Small(x) ∧ In(x, sizeTown) → Light(x)) ∀x (Heavy(x) ∧ In(x, sizeTown) → Still(x)) ∀x (Light(x) ∧ In(x, sizeTown) → Unstable(x)) ∀x (Unstable(x) ∧ In(x, sizeTown) → Changing(x)) ∀x (Unstable(x) ∧ In(x, sizeTown) → Unpredictable(x)) In(bird, sizeTown) ∧ ¬(Heavy(bird) ∧ Still(bird))","Still(bird) ¬Still(bird) Unpredictable(bird) ∧ Changing(bird) Unpredictable(bird) ∨ Changing(bird) Unpredictable(bird) ⊕ Changing(bird) Small(bird) ∨ Still(bird) → Unpredictable(bird) ⊕ Changing(bird)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Or(Small(bird),Implies(Still(bird),And(Or(Unpredictable(bird),Changing(bird)),Not(And(Unpredictable(bird),Changing(bird))))))\n├── Or(Or(Or(Changing(bird),Not(Still(bird))),Small(bird)),Unpredictable(bird))\n│ └── Or(Changing(bird),Not(Still(bird)))\n│ ├── In(bird,sizeTown)\n│ └── Or(Or(Changing(bird),Not(In(bird,sizeTown))),Not(Still(bird)))\n│ ├── Or(Or(Changing($x118),Not(In($x118,sizeTown))),Not(Unstable($x118)))\n│ └── Or(Or(Not(In(bird,sizeTown)),Not(Still(bird))),Unstable(bird))\n│ ├── Or(Or(Light(bird),Not(In(bird,sizeTown))),Not(Still(bird)))\n│ │ ├── Or(Or(Light($x19),Not(In($x19,sizeTown))),Not(Small($x19)))\n│ │ └── Or(Or(Not(In(bird,sizeTown)),Not(Still(bird))),Small(bird))\n│ │ ├── Or(Or(Big($x13),Not(In($x13,sizeTown))),Small($x13))\n│ │ └── Or(Or(Not(Big(bird)),Not(In(bird,sizeTown))),Not(Still(bird)))\n│ │ ├── Or(Not(Heavy(bird)),Not(Still(bird)))\n│ │ └── Or(Or(Heavy($x16),Not(Big($x16))),Not(In($x16,sizeTown)))\n│ └── Or(Or(Not(In($x115,sizeTown)),Not(Light($x115))),Unstable($x115))\n└── Or(Or(Or(Not(Changing(bird)),Not(Still(bird))),Not(Unpredictable(bird))),Small(bird))\n └── Small(bird)\n ├── In(bird,sizeTown)\n └── Or(Not(In(bird,sizeTown)),Small(bird))\n ├── Or(Or(Big($x13),Not(In($x13,sizeTown))),Small($x13))\n └── Or(Or(Not(Big(bird)),Not(In(bird,sizeTown))),Small(bird))\n ├── Or(Or(Heavy($x16),Not(Big($x16))),Not(In($x16,sizeTown)))\n └── Or(Or(Not(Heavy(bird)),Not(In(bird,sizeTown))),Small(bird))\n ├── Or(Or(Not(Heavy($x112)),Not(In($x112,sizeTown))),Still($x112))\n └── Or(Or(Not(In(bird,sizeTown)),Not(Still(bird))),Small(bird))\n ├── Or(Or(Big($x13),Not(In($x13,sizeTown))),Small($x13))\n └── Or(Or(Not(Big(bird)),Not(In(bird,sizeTown))),Not(Still(bird)))\n ├── Or(Not(Heavy(bird)),Not(Still(bird)))\n └── Or(Or(Heavy($x16),Not(Big($x16))),Not(In($x16,sizeTown)))\n']" 329,"All young working professionals who have regular 9-5 jobs have stable jobs. Some people living in Manhattan are young professionals with regular 9-5 jobs. All people who have stable jobs are people who work regularly. People who work regularly do not frequently disobey their bosses. Mary either frequently disobeys her bosses and works regularly, or that she neither frequently disobeys her bosses nor works regularly.","Mary lives in Manhattan. Mary lives in Manhattan and is a young working professional who has a regular 9-5 job. If Mary is a young working professional who has a regular 9-5 job, then Mary does not live in Manhattan.","U F T","∀x (YoungWorkingProfessional(x) ∧ Have(x, regular9To5Job) → Have(x, stableJob)) ∃x (LiveIn(x, manhattan) ∧ YoungWorkingProfessional(x) ∧ Have(x, regular9To5Job)) ∀x (Have(x, stableJob) → WorkRegularly(x)) ∀x (WorkRegularly(x) → ¬DisobeyFrequently(x, boss)) ¬(DisobeyFrequently(mary, boss) ⊕ WorkRegularly(mary))","LiveIn(mary, manhattan) LiveIn(mary, manhattan) ∧ YoungWorkingProfessional(mary) ∧ Have(mary, regular9-5Job) YoungWorkingProfessional(mary) ∧ Have(mary, regular9-5Job) → ¬LiveIn(mary, manhattan)","['Not found', 'Not found', 'Not found']" 396,"A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique. All noninvasive neuroimaging techniques provide a spatial resolution of brains. If a technique provides a spatial resolution of brains, then it is a measurement of brain activity. All measurements of brain activity are used by neuroscience researchers. FMRI is either a measurement of brain activity or a noninvasive neuroimaging technique. FMRI is a neuroimaging technique.","FMRI provides a spatial resolution of brains. FMRI is an invasive neuroimaging technique and is used by neuroscience researchers. FMRI is either an invasive neuroimaging technique or is used by neuroscience researchers. If fMRI is not an invasive neuroimaging technique used by neuroscience researchers, then fMRI is neither a noninvasive neuroimaging technique nor provides a spatial resolution of brains.","U T F T","∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x))) ∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains)) ∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity)) ∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers)) Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI) NeuroimagingTechnique(fMRI)","Provides(fMRI, spatialResolutionOfBrains) Invasive(fMRI) ∧ UsedBy(fMRI, neuroscienceResearchers) Invasive(fMRI) ⊕ UsedBy(fMRI, neuroscienceResearchers) ¬(Invasive(fMRI) ∧ UsedBy(fMRI, neuroscienceResearchers)) → ¬(Noninvasive(fMRI) ∨ Provides(fMRI, spatialResolutionOfBrains))","['Not found', 'And(Invasive(fMRI),UsedBy(fMRI,neuroscienceResearchers))\n├── Invasive(fMRI)\n│ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ ├── NeuroimagingTechnique(fMRI)\n│ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ └── Or(Invasive(fMRI),Not(Noninvasive(fMRI)))\n│ ├── Or(Invasive(fMRI),Measure(fMRI,brainActivity))\n│ │ ├── Or(Invasive(fMRI),Provides(fMRI,spatialResolutionOfBrains))\n│ │ │ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ │ │ ├── NeuroimagingTechnique(fMRI)\n│ │ │ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ │ │ └── Or(Not(Noninvasive($x16)),Provides($x16,spatialResolutionOfBrains))\n│ │ └── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n│ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n└── UsedBy(fMRI,neuroscienceResearchers)\n ├── Measure(fMRI,brainActivity)\n │ ├── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n │ └── Or(Measure(fMRI,brainActivity),Provides(fMRI,spatialResolutionOfBrains))\n │ ├── Or(Measure(fMRI,brainActivity),Noninvasive(fMRI))\n │ └── Or(Not(Noninvasive($x16)),Provides($x16,spatialResolutionOfBrains))\n └── Or(Not(Measure($x112,brainActivity)),UsedBy($x112,neuroscienceResearchers))\n', 'Not(And(Or(Invasive(fMRI),UsedBy(fMRI,neuroscienceResearchers)),Not(And(Invasive(fMRI),UsedBy(fMRI,neuroscienceResearchers)))))\n├── Or(Invasive(fMRI),Not(UsedBy(fMRI,neuroscienceResearchers)))\n│ └── Invasive(fMRI)\n│ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ ├── NeuroimagingTechnique(fMRI)\n│ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ └── Or(Invasive(fMRI),Not(Noninvasive(fMRI)))\n│ ├── Or(Invasive(fMRI),Measure(fMRI,brainActivity))\n│ │ ├── Or(Invasive(fMRI),Provides(fMRI,spatialResolutionOfBrains))\n│ │ │ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ │ │ ├── NeuroimagingTechnique(fMRI)\n│ │ │ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ │ │ └── Or(Not(Noninvasive($x16)),Provides($x16,spatialResolutionOfBrains))\n│ │ └── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n│ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n└── Or(Not(Invasive(fMRI)),UsedBy(fMRI,neuroscienceResearchers))\n ├── Or(Measure(fMRI,brainActivity),Not(Invasive(fMRI)))\n │ ├── Or(Measure(fMRI,brainActivity),Noninvasive(fMRI))\n │ └── Or(Not(Invasive(fMRI)),Not(Noninvasive(fMRI)))\n │ ├── NeuroimagingTechnique(fMRI)\n │ └── Or(Or(Not(Invasive($x13)),Not(NeuroimagingTechnique($x13))),Not(Noninvasive($x13)))\n └── Or(Not(Measure($x112,brainActivity)),UsedBy($x112,neuroscienceResearchers))\n', 'Implies(Not(And(Invasive(fMRI),UsedBy(fMRI,neuroscienceResearchers))),Not(Or(Noninvasive(fMRI),Provides(fMRI,spatialResolutionOfBrains))))\n├── Or(Invasive(fMRI),Not(Noninvasive(fMRI)))\n│ ├── Or(Invasive(fMRI),Measure(fMRI,brainActivity))\n│ │ ├── Or(Invasive(fMRI),Provides(fMRI,spatialResolutionOfBrains))\n│ │ │ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ │ │ ├── NeuroimagingTechnique(fMRI)\n│ │ │ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ │ │ └── Or(Not(Noninvasive($x16)),Provides($x16,spatialResolutionOfBrains))\n│ │ └── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n│ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n├── Or(Invasive(fMRI),Not(Provides(fMRI,spatialResolutionOfBrains)))\n│ ├── Or(Invasive(fMRI),Not(Measure(fMRI,brainActivity)))\n│ │ ├── Or(Invasive(fMRI),Noninvasive(fMRI))\n│ │ │ ├── NeuroimagingTechnique(fMRI)\n│ │ │ └── Or(Or(Invasive($x13),Noninvasive($x13)),Not(NeuroimagingTechnique($x13)))\n│ │ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n│ └── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n├── Or(Not(Noninvasive(fMRI)),UsedBy(fMRI,neuroscienceResearchers))\n│ ├── Or(Measure(fMRI,brainActivity),Not(Noninvasive(fMRI)))\n│ │ ├── Or(Measure(fMRI,brainActivity),Not(Provides(fMRI,spatialResolutionOfBrains)))\n│ │ │ ├── Or(Measure(fMRI,brainActivity),Noninvasive(fMRI))\n│ │ │ └── Or(Not(Noninvasive(fMRI)),Not(Provides(fMRI,spatialResolutionOfBrains)))\n│ │ │ ├── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n│ │ │ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n│ │ └── Or(Not(Noninvasive($x16)),Provides($x16,spatialResolutionOfBrains))\n│ └── Or(Not(Measure($x112,brainActivity)),UsedBy($x112,neuroscienceResearchers))\n└── Or(Not(Provides(fMRI,spatialResolutionOfBrains)),UsedBy(fMRI,neuroscienceResearchers))\n ├── Or(Measure(fMRI,brainActivity),Not(Provides(fMRI,spatialResolutionOfBrains)))\n │ ├── Or(Measure(fMRI,brainActivity),Noninvasive(fMRI))\n │ └── Or(Not(Noninvasive(fMRI)),Not(Provides(fMRI,spatialResolutionOfBrains)))\n │ ├── Or(Measure($x19,brainActivity),Not(Provides($x19,spatialResolutionOfBrains)))\n │ └── Or(Not(Measure(fMRI,brainActivity)),Not(Noninvasive(fMRI)))\n └── Or(Not(Measure($x112,brainActivity)),UsedBy($x112,neuroscienceResearchers))\n']" 408,"No trick-shot artist in Yale's varsity team struggles with half court shots. Everyone on Yale's varsity team is someone who struggles with half court shots or who successfully shoots a high percentage of 3-pointers. Everyone on Yale's varsity team who successfully shoots a high percentage of 3-pointers is solid at shooting 2-pointers. No one on Yale's varsity team who is solid at shooting 2-pointers is bad at mid-range shots. Jack is on Yale's varsity team, and he is either a trick-shot artist or he successfully shoots a high percentage of 3-pointers.","Jack struggles at half court shots. Jack is bad at mid-range shots. Jack is solid at shooting 2-pointers or bad at mid-range shots. Jack is either solid at shooting 2-pointers or bad at mid-range shots. Jack is a trick-shot artist or bad at mid-range shots. Jack is either a trick-shot artist or bad at mid-range shots. Jack is either a player who successfully shoots a high percentage of 3-pointers or is bad at mid-range shots. If Jack is not solid at shooting 2-pointers and bad at mid-range shots, then Jack is not solid at shooting 2-pointers and is a player who successfully shoots a high percentage of 3-pointers. If Jack is solid at shooting 2-pointers or successfully shoots a high percentage of 3-pointers, then Jack struggles at half court shots and is bad at mid-range shots.","U F T T F F T F U","∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot)) ∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes))) ∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos)) ∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot)) In(jack, yaleSVarsityTeam) ∧ (TrickShotArtist(jack) ⊕ GoodAt(jack, threes))","StruggleAt(jack, halfCourtShot) BadAt(jack, midRangeShot) GoodAt(jack, twos) ∨ BadAt(jack, midRangeShot) GoodAt(jack, twos) ⊕ BadAt(jack, midRangeShot) TrickShotArtist(jack) ∨ BadAt(jack, midRangeShot)) TrickShotArtist(jack) ⊕ BadAt(jack, midRangeShots) GoodAt(jack, threes) ⊕ BadAt(jack, midRangeShot) BadAt(jack, midRangeShot) ∧ GoodAt(jack, twos) → ¬GoodAt(jack, twos) ∧ GoodAt(jack, threes) GoodAt(jack, twos) ∨ GoodAt(jack, threes) → BadAt(jack, halfCourtShot) ∧ BadAt(jack, midRangeShot)","['Not found', 'BadAt(jack,midRangeShot)\n├── In(jack,yaleSVarsityTeam)\n└── Or(BadAt(jack,midRangeShot),Not(In(jack,yaleSVarsityTeam)))\n ├── Or(GoodAt(jack,twos),Not(In(jack,yaleSVarsityTeam)))\n │ ├── Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam)))\n │ │ ├── Or(Or(GoodAt($x16,threes),Not(In($x16,yaleSVarsityTeam))),StruggleAt($x16,halfCourtShot))\n │ │ └── Or(Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n │ │ ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n │ │ └── Or(Or(Not(In($x13,yaleSVarsityTeam)),Not(StruggleAt($x13,halfCourtShot))),Not(TrickShotArtist($x13)))\n │ └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n └── Or(Or(BadAt($x112,midRangeShot),Not(GoodAt($x112,twos))),Not(In($x112,yaleSVarsityTeam)))\n', 'Or(BadAt(jack,midRangeShot),GoodAt(jack,twos))\n├── In(jack,yaleSVarsityTeam)\n└── Or(Or(BadAt(jack,midRangeShot),GoodAt(jack,twos)),Not(In(jack,yaleSVarsityTeam)))\n ├── Or(Or(BadAt(jack,midRangeShot),GoodAt(jack,threes)),Not(In(jack,yaleSVarsityTeam)))\n │ ├── Or(Or(BadAt($x112,midRangeShot),Not(GoodAt($x112,twos))),Not(In($x112,yaleSVarsityTeam)))\n │ └── Or(Or(GoodAt(jack,threes),GoodAt(jack,twos)),Not(In(jack,yaleSVarsityTeam)))\n │ ├── Or(Or(GoodAt($x16,threes),Not(In($x16,yaleSVarsityTeam))),StruggleAt($x16,halfCourtShot))\n │ └── Or(Or(GoodAt(jack,twos),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n │ ├── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n │ └── Or(Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n │ ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n │ └── Or(Or(Not(In($x13,yaleSVarsityTeam)),Not(StruggleAt($x13,halfCourtShot))),Not(TrickShotArtist($x13)))\n └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n', 'Not(And(Or(GoodAt(jack,twos),BadAt(jack,midRangeShot)),Not(And(GoodAt(jack,twos),BadAt(jack,midRangeShot)))))\n├── Or(BadAt(jack,midRangeShot),Not(GoodAt(jack,twos)))\n│ ├── In(jack,yaleSVarsityTeam)\n│ └── Or(Or(BadAt($x112,midRangeShot),Not(GoodAt($x112,twos))),Not(In($x112,yaleSVarsityTeam)))\n└── Or(GoodAt(jack,twos),Not(BadAt(jack,midRangeShot)))\n └── GoodAt(jack,twos)\n ├── In(jack,yaleSVarsityTeam)\n └── Or(GoodAt(jack,twos),Not(In(jack,yaleSVarsityTeam)))\n ├── Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam)))\n │ ├── Or(Or(GoodAt($x16,threes),Not(In($x16,yaleSVarsityTeam))),StruggleAt($x16,halfCourtShot))\n │ └── Or(Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n │ ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n │ └── Or(Or(Not(In($x13,yaleSVarsityTeam)),Not(StruggleAt($x13,halfCourtShot))),Not(TrickShotArtist($x13)))\n └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n', 'Or(BadAt(jack,midRangeShot),TrickShotArtist(jack))\n├── In(jack,yaleSVarsityTeam)\n└── Or(Or(BadAt(jack,midRangeShot),Not(In(jack,yaleSVarsityTeam))),TrickShotArtist(jack))\n ├── Or(Or(BadAt($x112,midRangeShot),Not(GoodAt($x112,twos))),Not(In($x112,yaleSVarsityTeam)))\n └── Or(Or(GoodAt(jack,twos),Not(In(jack,yaleSVarsityTeam))),TrickShotArtist(jack))\n ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n', 'Not found', 'Not(And(Or(GoodAt(jack,threes),BadAt(jack,midRangeShot)),Not(And(GoodAt(jack,threes),BadAt(jack,midRangeShot)))))\n├── Or(BadAt(jack,midRangeShot),Not(GoodAt(jack,threes)))\n│ ├── In(jack,yaleSVarsityTeam)\n│ └── Or(Or(BadAt(jack,midRangeShot),Not(GoodAt(jack,threes))),Not(In(jack,yaleSVarsityTeam)))\n│ ├── Or(GoodAt(jack,twos),Not(GoodAt(jack,threes)))\n│ │ ├── In(jack,yaleSVarsityTeam)\n│ │ └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n│ └── Or(Or(BadAt($x112,midRangeShot),Not(GoodAt($x112,twos))),Not(In($x112,yaleSVarsityTeam)))\n└── Or(GoodAt(jack,threes),Not(BadAt(jack,midRangeShot)))\n └── GoodAt(jack,threes)\n ├── In(jack,yaleSVarsityTeam)\n └── Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam)))\n ├── Or(Or(GoodAt($x16,threes),Not(In($x16,yaleSVarsityTeam))),StruggleAt($x16,halfCourtShot))\n └── Or(Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n └── Or(Or(Not(In($x13,yaleSVarsityTeam)),Not(StruggleAt($x13,halfCourtShot))),Not(TrickShotArtist($x13)))\n', 'Not(And(BadAt(jack,midRangeShot),Implies(GoodAt(jack,twos),And(Not(GoodAt(jack,twos)),GoodAt(jack,threes)))))\n├── Or(GoodAt(jack,twos),Not(BadAt(jack,midRangeShot)))\n│ └── GoodAt(jack,twos)\n│ ├── In(jack,yaleSVarsityTeam)\n│ └── Or(GoodAt(jack,twos),Not(In(jack,yaleSVarsityTeam)))\n│ ├── Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam)))\n│ │ ├── Or(Or(GoodAt($x16,threes),Not(In($x16,yaleSVarsityTeam))),StruggleAt($x16,halfCourtShot))\n│ │ └── Or(Or(GoodAt(jack,threes),Not(In(jack,yaleSVarsityTeam))),Not(StruggleAt(jack,halfCourtShot)))\n│ │ ├── Or(GoodAt(jack,threes),TrickShotArtist(jack))\n│ │ └── Or(Or(Not(In($x13,yaleSVarsityTeam)),Not(StruggleAt($x13,halfCourtShot))),Not(TrickShotArtist($x13)))\n│ └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n└── Or(Or(GoodAt(jack,twos),Not(BadAt(jack,midRangeShot))),Not(GoodAt(jack,threes)))\n └── Or(GoodAt(jack,twos),Not(GoodAt(jack,threes)))\n ├── In(jack,yaleSVarsityTeam)\n └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n', 'Or(GoodAt(jack,twos),Implies(GoodAt(jack,threes),And(BadAt(jack,halfCourtShot),BadAt(jack,midRangeShot))))\n├── Or(Or(BadAt(jack,halfCourtShot),GoodAt(jack,twos)),Not(GoodAt(jack,threes)))\n│ └── Or(GoodAt(jack,twos),Not(GoodAt(jack,threes)))\n│ ├── In(jack,yaleSVarsityTeam)\n│ └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n└── Or(Or(BadAt(jack,midRangeShot),GoodAt(jack,twos)),Not(GoodAt(jack,threes)))\n └── Or(GoodAt(jack,twos),Not(GoodAt(jack,threes)))\n ├── In(jack,yaleSVarsityTeam)\n └── Or(Or(GoodAt($x19,twos),Not(GoodAt($x19,threes))),Not(In($x19,yaleSVarsityTeam)))\n']" 464,"All animals can breathe. No rocks can breathe. All mammals are animals. All dogs are mammals. All Corgis are dogs. Bobby is an animal or a Corgi.","Bobby is a dog. Bobby is a rock. Bobby is either an animal or a rock.","U F T","∀x (Animal(x) → Breathe(x)) ∀x (Rock(x) → ¬Breathe(x)) ∀x (Mammal(x) → Animal(x)) ∀x (Dog(x) → Mammal(x)) ∀x (Corgi(x) → Dog(x)) Animal(bobby) ∨ Corgi(bobby)","Dog(bobby) Rock(bobby) Animal(bobby) ⊕ Rock(bobby)","['Not found', 'Not(Rock(bobby))\n├── Breathe(bobby)\n│ ├── Or(Animal(bobby),Breathe(bobby))\n│ │ ├── Or(Animal($x19),Not(Mammal($x19)))\n│ │ └── Or(Breathe(bobby),Mammal(bobby))\n│ │ ├── Or(Breathe(bobby),Dog(bobby))\n│ │ │ ├── Or(Breathe(bobby),Corgi(bobby))\n│ │ │ │ ├── Or(Animal(bobby),Corgi(bobby))\n│ │ │ │ └── Or(Breathe($x13),Not(Animal($x13)))\n│ │ │ └── Or(Dog($x115),Not(Corgi($x115)))\n│ │ └── Or(Mammal($x112),Not(Dog($x112)))\n│ └── Or(Breathe($x13),Not(Animal($x13)))\n└── Or(Not(Breathe($x16)),Not(Rock($x16)))\n', 'And(Or(Animal(bobby),Rock(bobby)),Not(And(Animal(bobby),Rock(bobby))))\n├── Or(Animal(bobby),Rock(bobby))\n│ └── Animal(bobby)\n│ ├── Or(Animal($x19),Not(Mammal($x19)))\n│ └── Or(Animal(bobby),Mammal(bobby))\n│ ├── Or(Animal(bobby),Dog(bobby))\n│ │ ├── Or(Animal(bobby),Corgi(bobby))\n│ │ └── Or(Dog($x115),Not(Corgi($x115)))\n│ └── Or(Mammal($x112),Not(Dog($x112)))\n└── Or(Not(Animal(bobby)),Not(Rock(bobby)))\n └── Or(Not(Animal($x16)),Not(Rock($x16)))\n ├── Or(Breathe($x13),Not(Animal($x13)))\n └── Or(Not(Breathe($x16)),Not(Rock($x16)))\n']" 322,"All growth stocks are bought to earn profits from rapid price appreciation. If the stock price is bought to earn profits from rapid price appreciation, then it is not suitable for a retirement fund. Some stocks are growth stocks. All mature stocks are suitable for a retirement fund. KO is a mature stock.","KO is a stock. KO is a stock and a growth stock. If KO is a growth stock or bought to earn profits from rapid price appreciation, then KO is neither a stock nor is its price volatile.","U F T","∀x (GrowthStock(x) → BoughtToEarnProfitFrom(x, rapidPriceAppreciation)) ∀x (BoughtToEarnProfitFrom(x, earnProfit, rapidPriceAppreciation) → ¬SuitableFor(x, retirementFund)) ∃x (Stock(x) ∧ GrowthStock(x)) ∀x (MatureStock(x) → SuitableFor(x, retirementFund)) MatureStock(kO)","Stock(kO) ¬GrowthStock(kO) GrowthStock(kO) ∨ BoughtToEarnProfitFrom(kO, earnProfit, rapidPriceAppreciation) → ¬Stock(kO) ∧ ¬BoughtToEarnProfitFrom(kO, rapidPriceAppreciation)","['Not found', 'Not found', 'Or(GrowthStock(kO),Implies(BoughtToEarnProfitFrom(kO,earnProfit,rapidPriceAppreciation),And(Not(Stock(kO)),Not(BoughtToEarnProfitFrom(kO,rapidPriceAppreciation)))))\n├── Or(Or(GrowthStock(kO),Not(BoughtToEarnProfitFrom(kO,earnProfit,rapidPriceAppreciation))),Not(BoughtToEarnProfitFrom(kO,rapidPriceAppreciation)))\n│ └── Not(BoughtToEarnProfitFrom(kO,earnProfit,rapidPriceAppreciation))\n│ ├── Or(Not(BoughtToEarnProfitFrom($x16,earnProfit,rapidPriceAppreciation)),Not(SuitableFor($x16,retirementFund)))\n│ └── SuitableFor(kO,retirementFund)\n│ ├── MatureStock(kO)\n│ └── Or(Not(MatureStock($x112)),SuitableFor($x112,retirementFund))\n└── Or(Or(GrowthStock(kO),Not(BoughtToEarnProfitFrom(kO,earnProfit,rapidPriceAppreciation))),Not(Stock(kO)))\n └── Not(BoughtToEarnProfitFrom(kO,earnProfit,rapidPriceAppreciation))\n ├── Or(Not(BoughtToEarnProfitFrom($x16,earnProfit,rapidPriceAppreciation)),Not(SuitableFor($x16,retirementFund)))\n └── SuitableFor(kO,retirementFund)\n ├── MatureStock(kO)\n └── Or(Not(MatureStock($x112)),SuitableFor($x112,retirementFund))\n']" 446,"If something is a plant, then it is not a cute animal. Simeng: All plants are not cute animals. All flowers are plants. Every kitten is a cute animal. If something is grown in a garden, then it is a flower. Piper is a kitten or a cute animal.","Piper was grown in a garden. Piper was not grown in a garden. Piper is a kitten.","F T U","∀x (Plant(x) → ¬CuteAnimal(x)) ∀x (Flower(x) → Plant(x)) ∀x (Kitten(x) → CuteAnimal(x)) ∀x (GrownIn(x, garden) → Flower(x)) Kitten(piper) ∨ CuteAnimal(piper)","GrownIn(piper, garden) ¬GrownIn(piper, garden) Kitten(piper)","['Not(GrownIn(piper,garden))\n├── Not(Flower(piper))\n│ ├── Or(Not(Flower($x16)),Plant($x16))\n│ └── Or(Not(Flower(piper)),Not(Plant(piper)))\n│ ├── Or(CuteAnimal(piper),Not(Flower(piper)))\n│ │ ├── Or(CuteAnimal($x19),Not(Kitten($x19)))\n│ │ └── Or(Kitten(piper),Not(Flower(piper)))\n│ │ ├── Or(Kitten(piper),Not(Plant(piper)))\n│ │ │ ├── Or(CuteAnimal(piper),Kitten(piper))\n│ │ │ └── Or(Not(CuteAnimal($x13)),Not(Plant($x13)))\n│ │ └── Or(Not(Flower($x16)),Plant($x16))\n│ └── Or(Not(CuteAnimal($x13)),Not(Plant($x13)))\n└── Or(Flower($x112),Not(GrownIn($x112,garden)))\n', 'Not(GrownIn(piper,garden))\n├── Not(Flower(piper))\n│ ├── Or(Not(Flower($x16)),Plant($x16))\n│ └── Or(Not(Flower(piper)),Not(Plant(piper)))\n│ ├── Or(CuteAnimal(piper),Not(Flower(piper)))\n│ │ ├── Or(CuteAnimal($x19),Not(Kitten($x19)))\n│ │ └── Or(Kitten(piper),Not(Flower(piper)))\n│ │ ├── Or(Kitten(piper),Not(Plant(piper)))\n│ │ │ ├── Or(CuteAnimal(piper),Kitten(piper))\n│ │ │ └── Or(Not(CuteAnimal($x13)),Not(Plant($x13)))\n│ │ └── Or(Not(Flower($x16)),Plant($x16))\n│ └── Or(Not(CuteAnimal($x13)),Not(Plant($x13)))\n└── Or(Flower($x112),Not(GrownIn($x112,garden)))\n', 'Not found']" 386,"If something is a deadly disease, then it comes with a low survival rate. Severe cancers are deadly diseases. Bile duct cancer is a severe form cancer. All Cholangiocarcinoma is bile duct cancer. Mild flu comes with a low survival rate. Colorectal cancer is not both a bile duct cancer and with a low survival rate.","Colorectal cancer is a kind of severe cancer If colorectal cancer is a kind of bile duct cancer or a form of Cholangiocarcinoma, then colorectal cancer is a kind of bile duct cancer and a kind of mild flu. Colorectal cancer is a form of Cholangiocarcinoma and it is a kind of mild flu or a kind of bile duct cancer, or all of the above.","U T F","∀x (DeadlyDiseases(x) → ComeWith(x, lowSurvivalRate)) ∀x (SevereCancer(x) → DeadlyDiseases(x)) ∀x (BileDuctCancer(x) → SevereCancer(x)) ∀x (Cholangiocarcinoma(x) → BileDuctCancer(x)) ∀x (MildFlu(x) → ¬ComeWith(x, lowSurvivalRate)) ¬(BileDuctCancer(colorectalCancer) ∧ ComeWith(colorectalCancer, lowSurvivalRate))","SevereCancer(colorectalCancer) ¬(BileDuctCancer(colorectalCancer) ∨ Cholangiocarcinoma(colorectalCancer)) ∨ (BileDuctCancer(colorectalCancer) ∧ MildFlu(colorectalCancer)) Cholangiocarcinoma(colorectalCancer) ∧ (MildFlu(colorectalCancer) ∨ BileDuctCancer(colorectalCancer))","['Not found', 'Not(And(Or(BileDuctCancer(colorectalCancer),Cholangiocarcinoma(colorectalCancer)),MildFlu(colorectalCancer)))\n├── Or(Not(BileDuctCancer(colorectalCancer)),Not(MildFlu(colorectalCancer)))\n│ └── Or(Not(BileDuctCancer($x115)),Not(MildFlu($x115)))\n│ ├── Or(Not(BileDuctCancer($x19)),SevereCancer($x19))\n│ └── Or(Not(MildFlu($x115)),Not(SevereCancer($x115)))\n│ ├── Or(DeadlyDiseases($x16),Not(SevereCancer($x16)))\n│ └── Or(Not(DeadlyDiseases($x115)),Not(MildFlu($x115)))\n│ ├── Or(ComeWith($x13,lowSurvivalRate),Not(DeadlyDiseases($x13)))\n│ └── Or(Not(ComeWith($x115,lowSurvivalRate)),Not(MildFlu($x115)))\n└── Or(Not(Cholangiocarcinoma(colorectalCancer)),Not(MildFlu(colorectalCancer)))\n └── Or(Not(Cholangiocarcinoma($x115)),Not(MildFlu($x115)))\n ├── Or(BileDuctCancer($x112),Not(Cholangiocarcinoma($x112)))\n └── Or(Not(BileDuctCancer($x115)),Not(MildFlu($x115)))\n ├── Or(Not(BileDuctCancer($x19)),SevereCancer($x19))\n └── Or(Not(MildFlu($x115)),Not(SevereCancer($x115)))\n ├── Or(DeadlyDiseases($x16),Not(SevereCancer($x16)))\n └── Or(Not(DeadlyDiseases($x115)),Not(MildFlu($x115)))\n ├── Or(ComeWith($x13,lowSurvivalRate),Not(DeadlyDiseases($x13)))\n └── Or(Not(ComeWith($x115,lowSurvivalRate)),Not(MildFlu($x115)))\n', 'Not(And(Cholangiocarcinoma(colorectalCancer),Or(MildFlu(colorectalCancer),BileDuctCancer(colorectalCancer))))\n├── Or(Not(BileDuctCancer(colorectalCancer)),Not(Cholangiocarcinoma(colorectalCancer)))\n│ ├── Or(Not(BileDuctCancer($x19)),SevereCancer($x19))\n│ └── Or(Not(Cholangiocarcinoma(colorectalCancer)),Not(SevereCancer(colorectalCancer)))\n│ ├── Or(BileDuctCancer($x112),Not(Cholangiocarcinoma($x112)))\n│ └── Or(Not(BileDuctCancer(colorectalCancer)),Not(SevereCancer(colorectalCancer)))\n│ ├── Or(DeadlyDiseases($x16),Not(SevereCancer($x16)))\n│ └── Or(Not(BileDuctCancer(colorectalCancer)),Not(DeadlyDiseases(colorectalCancer)))\n│ ├── Or(ComeWith($x13,lowSurvivalRate),Not(DeadlyDiseases($x13)))\n│ └── Or(Not(BileDuctCancer(colorectalCancer)),Not(ComeWith(colorectalCancer,lowSurvivalRate)))\n└── Or(Not(Cholangiocarcinoma(colorectalCancer)),Not(MildFlu(colorectalCancer)))\n └── Or(Not(Cholangiocarcinoma($x115)),Not(MildFlu($x115)))\n ├── Or(BileDuctCancer($x112),Not(Cholangiocarcinoma($x112)))\n └── Or(Not(BileDuctCancer($x115)),Not(MildFlu($x115)))\n ├── Or(Not(BileDuctCancer($x19)),SevereCancer($x19))\n └── Or(Not(MildFlu($x115)),Not(SevereCancer($x115)))\n ├── Or(DeadlyDiseases($x16),Not(SevereCancer($x16)))\n └── Or(Not(DeadlyDiseases($x115)),Not(MildFlu($x115)))\n ├── Or(ComeWith($x13,lowSurvivalRate),Not(DeadlyDiseases($x13)))\n └── Or(Not(ComeWith($x115,lowSurvivalRate)),Not(MildFlu($x115)))\n']" 458,"Shoes are not food. All slippers are shoes. Any object donated to the homeless charity is either clothes or food. Wearable things are not edible. All clothes are wearable. The watch is donated to the homeless charify. If the watch is not both edible and a piece of clothing, then the watch is either both edible and a piece of clothing or the watch is neither of them.","A watch is wearable. A watch is a slipper. A watch is neither edible nor a slipper.","U F T","∀x (Shoe(x) → ¬Food(x)) ∀x (Slipper(x) → Shoe(x)) ∀x (DonatedTo(x, homelessCharity) → Food(x) ⊕ Clothes(x)) ∀x (Wearable(x) → ¬Edible(x)) ∀x (Clothes(x) → Wearable(x)) DonatedTo(watch, homelessCharify) ¬(Edible(watch) ∧ Clothes(watch)) → ¬(Edible(watch) ⊕ Clothes(watch))","Wearable(watch) Slipper(watch) ¬Edible(watch) ∧ ¬Slipper(watch)","['Not found', 'Not found', 'Not found']"