premises
stringlengths
41
783
conclusion
stringlengths
8
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3 values
∀x ((RunFar(x) ∧ UseMap(x)) → Orienteer(x)) ∀x (Fit(x) → RunFar(x)) ∀x (SenseDirection(x) → UseMap(x)) ∀x (MilitaryOfficer(x) → Fit(x)) MilitaryOfficer(hailee) ∧ SenseDirection(hailee) ¬MilitaryOfficer(karl) ∧ UseMap(karl)
¬Orienteer(karl)
U
∀x (Elephantopus(x) → (Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))) ∃x ∃y ∃z(Elephantopus(x) ∧ In(x,africa) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ In(y, southernasia) ∧ (¬(x=z)) ∧ (¬(y=z)) ∧ Elephantopus(z) ∧ In(z, australia)) ∃x ∃y (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ NativeTo(y, southeasternunitedstates)) ∀x (ElephantopusScaber(x) → TraditionalMedicine(x))
∃x ∃y (Elephantopus(x) ∧ In(x,africa) ∧ Elephantopus(y) ∧ In(y,africa))
T
∀x (Elephantopus(x) → (Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))) ∃x ∃y ∃z(Elephantopus(x) ∧ In(x,africa) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ In(y, southernasia) ∧ (¬(x=z)) ∧ (¬(y=z)) ∧ Elephantopus(z) ∧ In(z, australia)) ∃x ∃y (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ NativeTo(y, southeasternunitedstates)) ∀x (ElephantopusScaber(x) → TraditionalMedicine(x))
∀x (Elephantopus(x) → ¬NativeTo(x, southeasternunitedstates))
F
∀x (Elephantopus(x) → (Genus(x, perennialplants) ∧ BelongTo(x, daisyfamily))) ∃x ∃y ∃z(Elephantopus(x) ∧ In(x,africa) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ In(y, southernasia) ∧ (¬(x=z)) ∧ (¬(y=z)) ∧ Elephantopus(z) ∧ In(z, australia)) ∃x ∃y (Elephantopus(x) ∧ NativeTo(x, southeasternunitedstates) ∧ (¬(x=y)) ∧ Elephantopus(y) ∧ NativeTo(y, southeasternunitedstates)) ∀x (ElephantopusScaber(x) → TraditionalMedicine(x))
∀x (Elephantopus(x) → TraditionalMedicine(x))
U
∀x (ControlledSubstances(x) → Drugs(x)) ∃x ∃y (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ (¬(x=y)) ∧ Beneficial(x) ∧ Harmful(y)) ∀x ∀y ((Child(x) ∧ ControlledSubstances(y) ∧ ExposedTo(x, y)) → InChemicalEndangerment(x)) ∀x (InChemicalEndangerment(x) → Harmful(x)) PassedIn(controlledSubstancesAct, yr1971) ∧ Act(controlledSubstancesAct) ∃x ∃y (Act(x) ∧ PreventsHarm(x) ∧ (¬(x=y)) ∧ Act(y) ∧ PreventsHarm(y))
PreventsHarm(controlledSubstancesAct)
U
∀x (ControlledSubstances(x) → Drugs(x)) ∃x ∃y (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ (¬(x=y)) ∧ Beneficial(x) ∧ Harmful(y)) ∀x ∀y ((Child(x) ∧ ControlledSubstances(y) ∧ ExposedTo(x, y)) → InChemicalEndangerment(x)) ∀x (InChemicalEndangerment(x) → Harmful(x)) PassedIn(controlledSubstancesAct, yr1971) ∧ Act(controlledSubstancesAct) ∃x ∃y (Act(x) ∧ PreventsHarm(x) ∧ (¬(x=y)) ∧ Act(y) ∧ PreventsHarm(y))
∃x ∃y (Drugs(x) ∧ Beneficial(x) ∧ (¬(x=y)) ∧ Drugs(y) ∧ Beneficial(y))
T
∀x (ControlledSubstances(x) → Drugs(x)) ∃x ∃y (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ (¬(x=y)) ∧ Beneficial(x) ∧ Harmful(y)) ∀x ∀y ((Child(x) ∧ ControlledSubstances(y) ∧ ExposedTo(x, y)) → InChemicalEndangerment(x)) ∀x (InChemicalEndangerment(x) → Harmful(x)) PassedIn(controlledSubstancesAct, yr1971) ∧ Act(controlledSubstancesAct) ∃x ∃y (Act(x) ∧ PreventsHarm(x) ∧ (¬(x=y)) ∧ Act(y) ∧ PreventsHarm(y))
∀x ((Child(x) ∧ InChemicalEndangerment(x)) → Harmful(x))
T
∀x (SevenDistinctWorks(x) → Heptalogy(x)) SevenDistinctWorks(harryPotter) SevenDistinctWorks(chroniclesOfNarnia)
Heptalogy(harryPotter)
T
∀x (SevenDistinctWorks(x) → Heptalogy(x)) SevenDistinctWorks(harryPotter) SevenDistinctWorks(chroniclesOfNarnia)
¬Heptalogy(chroniclesOfNarnia)
F
∀x (SevenDistinctWorks(x) → Heptalogy(x)) SevenDistinctWorks(harryPotter) SevenDistinctWorks(chroniclesOfNarnia)
Heptalogy(lordOfRings)
U
∀x (Pet(x) → Animal(x)) ∀x (Pet(x) → (Dog(x) ⊕ Cat(x))) ∀x ∀y ((Pet(y) ∧ OwnedBy(x,y)) → Cares(x, y)) ∃x ∃y (Cat(x) ∧ Naughty(x) ∧ (¬(x=y)) ∧ Dog(y) ∧ Naughty(y)) ∀x ∀y ((Pet(x) ∧ Naughty(x) ∧ OwnedBy(x,y)) → ¬Liked(x, y)) OwnedBy(leo, charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)
Animal(leo)
T
∀x (Pet(x) → Animal(x)) ∀x (Pet(x) → (Dog(x) ⊕ Cat(x))) ∀x ∀y ((Pet(y) ∧ OwnedBy(x,y)) → Cares(x, y)) ∃x ∃y (Cat(x) ∧ Naughty(x) ∧ (¬(x=y)) ∧ Dog(y) ∧ Naughty(y)) ∀x ∀y ((Pet(x) ∧ Naughty(x) ∧ OwnedBy(x,y)) → ¬Liked(x, y)) OwnedBy(leo, charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)
¬Liked(leo, charlie) ∧ ¬Cares(charlie, leo)
F
∀x (Pet(x) → Animal(x)) ∀x (Pet(x) → (Dog(x) ⊕ Cat(x))) ∀x ∀y ((Pet(y) ∧ OwnedBy(x,y)) → Cares(x, y)) ∃x ∃y (Cat(x) ∧ Naughty(x) ∧ (¬(x=y)) ∧ Dog(y) ∧ Naughty(y)) ∀x ∀y ((Pet(x) ∧ Naughty(x) ∧ OwnedBy(x,y)) → ¬Liked(x, y)) OwnedBy(leo, charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo)
∀x (Dog(x) → ¬Naughty(x))
F
∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)
∀x (Human(x) → Werewolf(x))
U
∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)
∀x (Werewolf(x) → Wolf(x))
U
∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)
∀x ∃y (Werewolf(x) → ScratchedBy(y, x))
U
American(donaldErvinKnuth) ∧ ComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorEmeritusAt(donaldErvinKnuth, stanford) Called(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)
∃x (American(x) ∧ ComputerScientist(x) ∧ Called(x, fatherOfTheAnalysisOfAlgorithms))
T
American(donaldErvinKnuth) ∧ ComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorEmeritusAt(donaldErvinKnuth, stanford) Called(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)
∃x (Mathematician(x) ∧ Called(x, fatherOfTheAnalysisOfAlgorithms))
T
American(donaldErvinKnuth) ∧ ComputerScientist(donaldErvinKnuth) ∧ Mathematician(donaldErvinKnuth) ∧ ProfessorEmeritusAt(donaldErvinKnuth, stanford) Called(donaldErvinKnuth, fatherOfTheAnalysisOfAlgorithms)
WellKnownFigureIn(donaldErvinKnuth, artificialIntelligence)
U
∀x (WantToGoTo(mr.AndMrs.Smith, x) ∧ City(x) → (California(x) ∨ Florida(x)) ∧ NeverGo(x)) City(sanFrancisco) ∧ California(sanFrancisco) ∧ WantToGoTo(mr.AndMrs.Smith, sanFrancisco) ∧ City(losAngeles) ∧ California(losAngeles) ∧ WantToGoTo(mr.AndMrs.Smith, losAngeles) ∧ City(sanDiego) ∧ California(sanDiego) ∧ WantToGoTo(mr.AndMrs.Smith, sanDiego) City(orlando) ∧ Florida(orlando) ∧ WantToGo(mr.AndMrs.Smith, orlando) ∧ City(miami) ∧ Florida(miami) ∧ WantToGo(mr.AndMrs.Smith, miami) ∃x ∃y ∀z (¬(x=z) ∧ ¬(y=z) ∧ ¬(x=y) ∧ City(x) ∧ City(y) ∧ City(z) ∧ California(x) ∧ California(y) ∧ California(z) → Visit(mr.smith, x) ∧ Visit(mr.smith, y) ∧ ¬Visit(mr.smith, z)) ∃x ∀y (¬(x=y) ∧ City(x) ∧ City(y) ∧ Florida(x) ∧ Florida(y) → Visit(mrs.smith, x) ∧ ¬Visit(mrs.smith, y))
∃x (City(x) ∧ Visit(mr.smith, sanFrancisco))
U
∀x (WantToGoTo(mr.AndMrs.Smith, x) ∧ City(x) → (California(x) ∨ Florida(x)) ∧ NeverGo(x)) City(sanFrancisco) ∧ California(sanFrancisco) ∧ WantToGoTo(mr.AndMrs.Smith, sanFrancisco) ∧ City(losAngeles) ∧ California(losAngeles) ∧ WantToGoTo(mr.AndMrs.Smith, losAngeles) ∧ City(sanDiego) ∧ California(sanDiego) ∧ WantToGoTo(mr.AndMrs.Smith, sanDiego) City(orlando) ∧ Florida(orlando) ∧ WantToGo(mr.AndMrs.Smith, orlando) ∧ City(miami) ∧ Florida(miami) ∧ WantToGo(mr.AndMrs.Smith, miami) ∃x ∃y ∀z (¬(x=z) ∧ ¬(y=z) ∧ ¬(x=y) ∧ City(x) ∧ City(y) ∧ City(z) ∧ California(x) ∧ California(y) ∧ California(z) → Visit(mr.smith, x) ∧ Visit(mr.smith, y) ∧ ¬Visit(mr.smith, z)) ∃x ∀y (¬(x=y) ∧ City(x) ∧ City(y) ∧ Florida(x) ∧ Florida(y) → Visit(mrs.smith, x) ∧ ¬Visit(mrs.smith, y))
∃x (WantToGoTo(x) ∧ City(x) ∧ Florida(x))
U
∀x (WantToGoTo(mr.AndMrs.Smith, x) ∧ City(x) → (California(x) ∨ Florida(x)) ∧ NeverGo(x)) City(sanFrancisco) ∧ California(sanFrancisco) ∧ WantToGoTo(mr.AndMrs.Smith, sanFrancisco) ∧ City(losAngeles) ∧ California(losAngeles) ∧ WantToGoTo(mr.AndMrs.Smith, losAngeles) ∧ City(sanDiego) ∧ California(sanDiego) ∧ WantToGoTo(mr.AndMrs.Smith, sanDiego) City(orlando) ∧ Florida(orlando) ∧ WantToGo(mr.AndMrs.Smith, orlando) ∧ City(miami) ∧ Florida(miami) ∧ WantToGo(mr.AndMrs.Smith, miami) ∃x ∃y ∀z (¬(x=z) ∧ ¬(y=z) ∧ ¬(x=y) ∧ City(x) ∧ City(y) ∧ City(z) ∧ California(x) ∧ California(y) ∧ California(z) → Visit(mr.smith, x) ∧ Visit(mr.smith, y) ∧ ¬Visit(mr.smith, z)) ∃x ∀y (¬(x=y) ∧ City(x) ∧ City(y) ∧ Florida(x) ∧ Florida(y) → Visit(mrs.smith, x) ∧ ¬Visit(mrs.smith, y))
∃x ∃y (¬(x=y) ∧ City(x) ∧ City(y) ∧ WantToGoTo(mr.AndMrs.Smith, x) ∧ California(x) ∧ WantToGoTo(mr.AndMrs.Smith, y) ∧ California(y))
U
MusicSupervisor(jasonKramer) ∧ American(jasonKramer) ∃x ∃y (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x) ∧ (¬(x=y)) ∧ American(y) ∧ MusicSupervisor(y) ∧ RadioPersonality(y)) ∀x ∀y((HostShowOn(x, y) ∧ PublicRadioStation(x)) → RadioPersonality(x)) RadioPersonality(joeRogan) ∃x(HostShowOn(jasonKramer, x) ∧ PublicRadioStation(x))
American(joeRogan)
U
MusicSupervisor(jasonKramer) ∧ American(jasonKramer) ∃x ∃y (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x) ∧ (¬(x=y)) ∧ American(y) ∧ MusicSupervisor(y) ∧ RadioPersonality(y)) ∀x ∀y((HostShowOn(x, y) ∧ PublicRadioStation(x)) → RadioPersonality(x)) RadioPersonality(joeRogan) ∃x(HostShowOn(jasonKramer, x) ∧ PublicRadioStation(x))
MusicSupervisor(jasonKramer)
T
MusicSupervisor(jasonKramer) ∧ American(jasonKramer) ∃x ∃y (American(x) ∧ MusicSupervisor(x) ∧ RadioPersonality(x) ∧ (¬(x=y)) ∧ American(y) ∧ MusicSupervisor(y) ∧ RadioPersonality(y)) ∀x ∀y((HostShowOn(x, y) ∧ PublicRadioStation(x)) → RadioPersonality(x)) RadioPersonality(joeRogan) ∃x(HostShowOn(jasonKramer, x) ∧ PublicRadioStation(x))
RadioPersonality(jasonKramer)
T
EuropeanCountry(belgium) ∧ EuropeanCountry(france) ∧ EuropeanCountry(germany) CapitalOf(paris, france) TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris) ∃x (LiveIn(x, belgium) → Speak(x, french)) ∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x))) Speak(john, french)
GoTo(john, europe) → See(john, eiffelTower)
U
EuropeanCountry(belgium) ∧ EuropeanCountry(france) ∧ EuropeanCountry(germany) CapitalOf(paris, france) TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris) ∃x (LiveIn(x, belgium) → Speak(x, french)) ∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x))) Speak(john, french)
∃x (CapitalOf(x, france) ∧ LocatedIn(eiffelTower, x))
T
EuropeanCountry(belgium) ∧ EuropeanCountry(france) ∧ EuropeanCountry(germany) CapitalOf(paris, france) TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris) ∃x (LiveIn(x, belgium) → Speak(x, french)) ∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x))) Speak(john, french)
LiveIn(john, belgium)
U
ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))
∃x (ItalianName(x) ∧ Surname(x) ∧ UseAsSurname(albaRoversi, x))
T
ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))
¬(∃x ∃y (Photographer(x) ∧ ItalianName(y) ∧ Surname(y) ∧ UseAsSurname(x, y)))
F
ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))
Amateur(paoloRoversi) ∧ Photographer(paoloRoversi)
U
MusicPiece(symphony9) ∀x (MusicPiece(x) → ∃y (Composer(y) ∧ Write(y, x))) Writtenby(symphony9, beethoven) Premiered(viennaMusicSociety, symphony9) Orchestra(viennaMusicSociety) Lead(beethoven, viennaMusicSociety) ∀x (Orchestra(x) → (∃y Conductor(y) ∧ Lead(y, x)))
Composer(beethoven)
T
MusicPiece(symphony9) ∀x (MusicPiece(x) → ∃y (Composer(y) ∧ Write(y, x))) Writtenby(symphony9, beethoven) Premiered(viennaMusicSociety, symphony9) Orchestra(viennaMusicSociety) Lead(beethoven, viennaMusicSociety) ∀x (Orchestra(x) → (∃y Conductor(y) ∧ Lead(y, x)))
∃x ∃y (Orchestra(x) ∧ MusicPiece(y) ∧ Premiered(x, y))
T
MusicPiece(symphony9) ∀x (MusicPiece(x) → ∃y (Composer(y) ∧ Write(y, x))) Writtenby(symphony9, beethoven) Premiered(viennaMusicSociety, symphony9) Orchestra(viennaMusicSociety) Lead(beethoven, viennaMusicSociety) ∀x (Orchestra(x) → (∃y Conductor(y) ∧ Lead(y, x)))
¬Conductor(beethoven)
F
¬(∃x (LanguageModel(x) ∧ Giant(x) ∧ ¬GoodPerformance(x))) ∀x ∃y ∃z (LanguageModel(x) ∧ GoodPerformance(x) → ¬(x=y) ∧ Researcher(y) ∧ UsedBy(x, y) ∧ Researcher(z) ∧ UsedBy(x, z)) ∀x ∃y ∃z (LanguageModel(x) ∧ ¬(x=y) ∧ Researcher(y) ∧ UsedBy(x, y) ∧ Researcher(z) ∧ UsedBy(x, z) → Popular(x)) (LanguageModel(bert) ∧ Giant(bert)) → (LanguageModel(gpt-3) ∧ Giant(gpt-3)). LanguageModel(bert) ∧ Giant(bert)
Popular(gpt-3)
T
OnlineMagazine(tangentOnline) ∧ Web(tangentOnline) ∧ LaunchedIn(tangentOnline, 1997) PrintIssue(firstIssueTangentOnline) ∧ LaunchedIn(firstIssueTangentOnline, 1993) ∃x (OnlineMagazine(tangentOnline) ∧ Covers(tangentOnline, x) ∧ Review(x) ∧ (AboutScienceFiction(x) ∨ AboutFantasyShortFiction(x))) ∃x (Covers(tangentOnline, x) ∧ (Interview(x) ∨ Article(x) ∨ Editorial(x)))
¬OnlineMagazie(tangentOnline)
F
OnlineMagazine(tangentOnline) ∧ Web(tangentOnline) ∧ LaunchedIn(tangentOnline, 1997) PrintIssue(firstIssueTangentOnline) ∧ LaunchedIn(firstIssueTangentOnline, 1993) ∃x (OnlineMagazine(tangentOnline) ∧ Covers(tangentOnline, x) ∧ Review(x) ∧ (AboutScienceFiction(x) ∨ AboutFantasyShortFiction(x))) ∃x (Covers(tangentOnline, x) ∧ (Interview(x) ∨ Article(x) ∨ Editorial(x)))
PrintMagazine(tangentOnline)
U
OnlineMagazine(tangentOnline) ∧ Web(tangentOnline) ∧ LaunchedIn(tangentOnline, 1997) PrintIssue(firstIssueTangentOnline) ∧ LaunchedIn(firstIssueTangentOnline, 1993) ∃x (OnlineMagazine(tangentOnline) ∧ Covers(tangentOnline, x) ∧ Review(x) ∧ (AboutScienceFiction(x) ∨ AboutFantasyShortFiction(x))) ∃x (Covers(tangentOnline, x) ∧ (Interview(x) ∨ Article(x) ∨ Editorial(x)))
∃x ∃y (OnlineMagazine(x) ∧ Web(x) ∧ LaunchedIn(1997) ∧ Covers(x, y) ∧ Review(y))
U
∀x ∀y ((SummerOlympicsIn(x,y) ∧ In(x, unitedStates)) → SummerOlympicsIn(x, unitedStates)) ∀x ∀y ((In(x, y) ∧ In(y, unitedStates)) → In(x, unitedStates)) ∀x ∀y ∀z ((In(x, z) ∧ State(z) ∧ SummerOlympicsIn(x,y)) → SummerOlympicsIn(z, y)) SummerOlympicsIn(losAngeles, yr2028) In(losAngeles, california) In(atlanta, unitedStates) In(california, unitedStates) In(atlanta, georgia) ¬InSummerOlympicsIn(boxing, yr2028) ∧ (¬InSummerOlympicsIn(modern_pentathlon, yr2028)) ∧ (¬InSummerOlympicsIn(weightlifting, yr2028)) SummerOlympicsIn(atlanta, yr1996)
SummerOlympicsIn(unitedStates, yr2028)
T
∀x ∀y ((SummerOlympicsIn(x,y) ∧ In(x, unitedStates)) → SummerOlympicsIn(x, unitedStates)) ∀x ∀y ((In(x, y) ∧ In(y, unitedStates)) → In(x, unitedStates)) ∀x ∀y ∀z ((In(x, z) ∧ State(z) ∧ SummerOlympicsIn(x,y)) → SummerOlympicsIn(z, y)) SummerOlympicsIn(losAngeles, yr2028) In(losAngeles, california) In(atlanta, unitedStates) In(california, unitedStates) In(atlanta, georgia) ¬InSummerOlympicsIn(boxing, yr2028) ∧ (¬InSummerOlympicsIn(modern_pentathlon, yr2028)) ∧ (¬InSummerOlympicsIn(weightlifting, yr2028)) SummerOlympicsIn(atlanta, yr1996)
¬SummerOlympicsIn(georgia, yr1996)
F
∀x ∀y ((SummerOlympicsIn(x,y) ∧ In(x, unitedStates)) → SummerOlympicsIn(x, unitedStates)) ∀x ∀y ((In(x, y) ∧ In(y, unitedStates)) → In(x, unitedStates)) ∀x ∀y ∀z ((In(x, z) ∧ State(z) ∧ SummerOlympicsIn(x,y)) → SummerOlympicsIn(z, y)) SummerOlympicsIn(losAngeles, yr2028) In(losAngeles, california) In(atlanta, unitedStates) In(california, unitedStates) In(atlanta, georgia) ¬InSummerOlympicsIn(boxing, yr2028) ∧ (¬InSummerOlympicsIn(modern_pentathlon, yr2028)) ∧ (¬InSummerOlympicsIn(weightlifting, yr2028)) SummerOlympicsIn(atlanta, yr1996)
InSummerOlympicsIn(skateboarding, yr2028)
U
∀x (OpticalEngineer(x) → Study(x, science) ∧ Study(x, engineering)) ∀x (Study(x, opticalEngineering) → OpticalEngineer(x)) ∀x (OpticalEngineer(x) → Study(x, lightGeneration) ∨ Study(x, lightTransmission) ∨ Study(x, lightDetection)) OpticalEngineer(murphy)
¬Study(murphy, lightGeneration) ∧ ¬Study(murphy, lightTransmission) ∧ ¬Study(murphy, lightDetection))
F
∀x (OpticalEngineer(x) → Study(x, science) ∧ Study(x, engineering)) ∀x (Study(x, opticalEngineering) → OpticalEngineer(x)) ∀x (OpticalEngineer(x) → Study(x, lightGeneration) ∨ Study(x, lightTransmission) ∨ Study(x, lightDetection)) OpticalEngineer(murphy)
Study(murphy, science)
T
∀x (OpticalEngineer(x) → Study(x, science) ∧ Study(x, engineering)) ∀x (Study(x, opticalEngineering) → OpticalEngineer(x)) ∀x (OpticalEngineer(x) → Study(x, lightGeneration) ∨ Study(x, lightTransmission) ∨ Study(x, lightDetection)) OpticalEngineer(murphy)
∃x (Study(x, engineering))
T
NetflixShow(strangerThings) ∧ Popular(strangerThings) ∀x ((NetflixShow(x) ∧ Popular(x)) → BingeWatch(karen, x)) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) ↔ Download(karen, x)) ¬Download(karen, blackMirror) NetflixShow(blackMirror) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) → ShareWith(karen, x, lisa))
ShareWith(karen, strangerThings, lisa)
T
NetflixShow(strangerThings) ∧ Popular(strangerThings) ∀x ((NetflixShow(x) ∧ Popular(x)) → BingeWatch(karen, x)) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) ↔ Download(karen, x)) ¬Download(karen, blackMirror) NetflixShow(blackMirror) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) → ShareWith(karen, x, lisa))
Popular(blackMirror)
F
NetflixShow(strangerThings) ∧ Popular(strangerThings) ∀x ((NetflixShow(x) ∧ Popular(x)) → BingeWatch(karen, x)) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) ↔ Download(karen, x)) ¬Download(karen, blackMirror) NetflixShow(blackMirror) ∀x ((NetflixShow(x) ∧ BingeWatch(karen, x)) → ShareWith(karen, x, lisa))
ShareWith(karen, blackMirror, lisa)
U
ParamountLeaderOf(dengXiaoping, peoplesRepublicOfChina) PraisedFor(dengXiaoping, reaffirmationOfReformProgram) ∧ PraisedFor(dengXiaoping, reversionOfHongKong) ∧ PraisedFor(dengXiaoping, returnOfMacau) PartysSecretaryGeneral(dengXiaoping) ∧ Under(dengXiaoping, mao) ∧ VicePremierInThe1950s(dengXiaoping) ∧ PresidedOver(dengXiaoping, antiRightistCampaign) ∧ LaunchedBy(antiRightistCampaign, mao) InstrumentalIn(dengXiaoping, chinasEconomicReconstruction) ∧ Following(chinasEconomicReconstruction, greatLeapForward) ∧ Disastrous(greatLeapForward) DiedIn(mao, year1976) GraduallyRoseTo(dengXiaoping, supremePower)
∃x (ParamountLeaderOf(x, prc) ∧ VicePremier(x))
T
ParamountLeaderOf(dengXiaoping, peoplesRepublicOfChina) PraisedFor(dengXiaoping, reaffirmationOfReformProgram) ∧ PraisedFor(dengXiaoping, reversionOfHongKong) ∧ PraisedFor(dengXiaoping, returnOfMacau) PartysSecretaryGeneral(dengXiaoping) ∧ Under(dengXiaoping, mao) ∧ VicePremierInThe1950s(dengXiaoping) ∧ PresidedOver(dengXiaoping, antiRightistCampaign) ∧ LaunchedBy(antiRightistCampaign, mao) InstrumentalIn(dengXiaoping, chinasEconomicReconstruction) ∧ Following(chinasEconomicReconstruction, greatLeapForward) ∧ Disastrous(greatLeapForward) DiedIn(mao, year1976) GraduallyRoseTo(dengXiaoping, supremePower)
∃x ∃y (PresidedOver(dengxiaoping, x) ∧ Under(dengxiaoping, y) ∧ LaunchedBy(x, y))
T
ParamountLeaderOf(dengXiaoping, peoplesRepublicOfChina) PraisedFor(dengXiaoping, reaffirmationOfReformProgram) ∧ PraisedFor(dengXiaoping, reversionOfHongKong) ∧ PraisedFor(dengXiaoping, returnOfMacau) PartysSecretaryGeneral(dengXiaoping) ∧ Under(dengXiaoping, mao) ∧ VicePremierInThe1950s(dengXiaoping) ∧ PresidedOver(dengXiaoping, antiRightistCampaign) ∧ LaunchedBy(antiRightistCampaign, mao) InstrumentalIn(dengXiaoping, chinasEconomicReconstruction) ∧ Following(chinasEconomicReconstruction, greatLeapForward) ∧ Disastrous(greatLeapForward) DiedIn(mao, year1976) GraduallyRoseTo(dengXiaoping, supremePower)
∃x (InstrumentalIn(x, chinaseconomicreconstruction) ∧ GraduallyRoseTo(x, supremepower))
T
∀x (Leader(x) → HavePower(x)) ∀x (Leader(x) → (King(x) ⊕ Queen(x))) ∀x (Queen(x) → Female(x)) ∀x (King(x) → Male(x)) Queen(elizabeth) Leader(elizabeth)
King(elizabeth)
F
∀x (Leader(x) → HavePower(x)) ∀x (Leader(x) → (King(x) ⊕ Queen(x))) ∀x (Queen(x) → Female(x)) ∀x (King(x) → Male(x)) Queen(elizabeth) Leader(elizabeth)
HavePower(elizabeth)
T
∀x (Leader(x) → HavePower(x)) ∀x (Leader(x) → (King(x) ⊕ Queen(x))) ∀x (Queen(x) → Female(x)) ∀x (King(x) → Male(x)) Queen(elizabeth) Leader(elizabeth)
Leader(elizabeth)
T
∀x (SenateRepublican(x) → ElectedOfficial(x)) ∃x ∃y (ElectedOfficial(x) ∧ ElectedOfficial(y) ∧ ¬Conservative(x) ∧ ¬Conservative(y) ∧ ¬(x=y))
∃x ∃y (Conservative(x) ∧ Conservative(y) ∧ ¬SenateRepublican(x) ∧ ¬SenateRepublican(y) ∧ ¬(x=y))
U
Cost(gRE, 205) ∧ Cheaper(205, 300) ∀x (ApplicantOf(x, gre) ∧ Prove(x, economicHardship) → ProvideTo(ets, financialAid, x)) ∀x (LivingIn(x, singleParentFamily) ∨ AvailableTo(fewResources, x) → Prove(x, economicHardship)) LivingIn(tom, singleParentFamily) OutOfWork(tomsDad) ∧ AvailableTo(fewResources, tom) ApplicantOf(tom, gre)
ProvidesFinancialAidTo(eTS, tom)
T
Cost(gRE, 205) ∧ Cheaper(205, 300) ∀x (ApplicantOf(x, gre) ∧ Prove(x, economicHardship) → ProvideTo(ets, financialAid, x)) ∀x (LivingIn(x, singleParentFamily) ∨ AvailableTo(fewResources, x) → Prove(x, economicHardship)) LivingIn(tom, singleParentFamily) OutOfWork(tomsDad) ∧ AvailableTo(fewResources, tom) ApplicantOf(tom, gre)
Cost(gRE, x) ∧ Cheaper(x, 300)
T
Cost(gRE, 205) ∧ Cheaper(205, 300) ∀x (ApplicantOf(x, gre) ∧ Prove(x, economicHardship) → ProvideTo(ets, financialAid, x)) ∀x (LivingIn(x, singleParentFamily) ∨ AvailableTo(fewResources, x) → Prove(x, economicHardship)) LivingIn(tom, singleParentFamily) OutOfWork(tomsDad) ∧ AvailableTo(fewResources, tom) ApplicantOf(tom, gre)
¬(∃x ∃y (Applicant(x, gRE) ∧ ProvidesFinancialAidTo(y, x)))
F
BornIn(rafaNadal, mallorca) ProfessionalTennisPlayer(rafaNadal) HighWinRatio(rafaNadal) ∀x ((ProfessionalTennisPlayer(x) ∧ HighWinRatio(x)) → InBig3(x))
¬BornIn(rafaNadal, mallorca)
F
BornIn(rafaNadal, mallorca) ProfessionalTennisPlayer(rafaNadal) HighWinRatio(rafaNadal) ∀x ((ProfessionalTennisPlayer(x) ∧ HighWinRatio(x)) → InBig3(x))
InBig3(rafaNadal)
T
BornIn(rafaNadal, mallorca) ProfessionalTennisPlayer(rafaNadal) HighWinRatio(rafaNadal) ∀x ((ProfessionalTennisPlayer(x) ∧ HighWinRatio(x)) → InBig3(x))
GreatestOfAllTime(rafaNadal)
U
∀x (Hungry(x) → Uncomfortable(x)) ∀x (Uncomfortable(x) → ¬Happy(x))
∀x (¬Hungry(x) → ¬Happy(x))
U
∀x (Song(x) ∧ Hit(x) → Catchy(x)) ∀x (Song(x) ∧ ¬(HasMelody(x) ∨ HasRhythm(x)) → ¬Popular(x)) ∀x (Song(x) ∧ Hit(x) → Popular(x))
∀x (Song(x) ∧ ¬HasMelody(x) → ¬Hit(x))
T
∀x (Song(x) ∧ Hit(x) → Catchy(x)) ∀x (Song(x) ∧ ¬(HasMelody(x) ∨ HasRhythm(x)) → ¬Popular(x)) ∀x (Song(x) ∧ Hit(x) → Popular(x))
∀x (Song(x) ∧ Catchy(x) → Hit(x))
U
∀x (Song(x) ∧ Hit(x) → Catchy(x)) ∀x (Song(x) ∧ ¬(HasMelody(x) ∨ HasRhythm(x)) → ¬Popular(x)) ∀x (Song(x) ∧ Hit(x) → Popular(x))
∃x (Song(x) ∧ LackRhythm(x) ∧ Hit(x))
F
∀x (WildTurkey(x) → (EasternWildTurkey(x) ∨ OsceolaWildTurkey(x) ∨ GouldsWildTurkey(x) ∨ MerriamsWildTurkey(x) ∨ RiograndeWildTurkey(x) ∨ OcellatedWildTurkey(x))) ¬(EasternWildTurkey(tom)) ¬(OsceolaWildTurkey(tom)) ¬(GouldsWildTurkey(tom)) ¬(MerriamsWildTurkey(tom) ∨ RiograndeWildTurkey(tom)) WildTurkey(tom)
OcellatedWildTurkey(tom)
T
∀x (WildTurkey(x) → (EasternWildTurkey(x) ∨ OsceolaWildTurkey(x) ∨ GouldsWildTurkey(x) ∨ MerriamsWildTurkey(x) ∨ RiograndeWildTurkey(x) ∨ OcellatedWildTurkey(x))) ¬(EasternWildTurkey(tom)) ¬(OsceolaWildTurkey(tom)) ¬(GouldsWildTurkey(tom)) ¬(MerriamsWildTurkey(tom) ∨ RiograndeWildTurkey(tom)) WildTurkey(tom)
EasternWildTurkey(tom)
F
∀x (WildTurkey(x) → (EasternWildTurkey(x) ∨ OsceolaWildTurkey(x) ∨ GouldsWildTurkey(x) ∨ MerriamsWildTurkey(x) ∨ RiograndeWildTurkey(x) ∨ OcellatedWildTurkey(x))) ¬(EasternWildTurkey(tom)) ¬(OsceolaWildTurkey(tom)) ¬(GouldsWildTurkey(tom)) ¬(MerriamsWildTurkey(tom) ∨ RiograndeWildTurkey(tom)) WildTurkey(tom)
WildTurkey(joey)
U
∀x (JuvenileDelinquent(x) → Commited(x, crime)) ∃x ∃y (JuvenileDelinquent(x) ∧ JuvenileDelinquent(y) ∧ ProductOf(x, brokenHome) ∧ ProductOf(y, brokenHome) ∧ ¬(x=y))
∃x ∃y (Commited(x, crime) ∧ Commited(y, crime) ∧ ProductOf(x, brokenHome) ∧ ProductOf(y, brokenHome) ∧ ¬(x=y))
T
∃x (BritishSitcom(badults) ∧ Series(badults) ∧ MemberOf(x, pappys) ∧ Starring(badults, x)) PilotedIn(badults, july2013) ∧ PilotedOn(badults, bBCThree) WorkingTitle(theSecretDudeSociety, badults) ∧ UsedFor(theSecretDudeSociety, badults) ScriptEditorFor(andrewCollins, badults)
∃x (ScriptEditorFor(andrewCollins, x) ∧ Series(x) ∧ WorkingTitle(theSecretDudeSociety, x))
T
∃x (BritishSitcom(badults) ∧ Series(badults) ∧ MemberOf(x, pappys) ∧ Starring(badults, x)) PilotedIn(badults, july2013) ∧ PilotedOn(badults, bBCThree) WorkingTitle(theSecretDudeSociety, badults) ∧ UsedFor(theSecretDudeSociety, badults) ScriptEditorFor(andrewCollins, badults)
∀x ∀y (MemberOf(x, pappys) ∧ Starring(y, x) → ¬(PilotedOn(y, bBCTwo) ∨ PilotedOn(y, bBCThree)))
F
FormerSwimmer(barbaraAnnMarshall) ∧ FormerWorldRecordHolder(barbaraAnnMarshall) ParticipatedIn(barbaraAnnMarshall, 1972SummerOlympics) HomeCountry(barbaraAnnMarshall, unitedStates) ∀x ∃y (ParticipatedIn(x, 1972SummerOlympics) ∧ HomeCountry(x, y) → Represented(x, y)) ParticipatedIn(barbaraAnnMarshall, preliminaryHeatFreestyleRelay) ¬ParticipatedIn(barbaraAnnMarshall, finalHeatFreestyleRelay) ∀x ((ParticipatedIn(x, 1972SummerOlympics) ∧ RelaySwimmer(x) ∧ ¬ParticipatedIn(x, finalHeatFreestyleRelay)) ↔ ¬Recieved(x, medal)))
¬Recieved(barbaraAnnMarshall, medal)
U
FormerSwimmer(barbaraAnnMarshall) ∧ FormerWorldRecordHolder(barbaraAnnMarshall) ParticipatedIn(barbaraAnnMarshall, 1972SummerOlympics) HomeCountry(barbaraAnnMarshall, unitedStates) ∀x ∃y (ParticipatedIn(x, 1972SummerOlympics) ∧ HomeCountry(x, y) → Represented(x, y)) ParticipatedIn(barbaraAnnMarshall, preliminaryHeatFreestyleRelay) ¬ParticipatedIn(barbaraAnnMarshall, finalHeatFreestyleRelay) ∀x ((ParticipatedIn(x, 1972SummerOlympics) ∧ RelaySwimmer(x) ∧ ¬ParticipatedIn(x, finalHeatFreestyleRelay)) ↔ ¬Recieved(x, medal)))
Represented(barbaraAnnMarshall, unitedStates)
T
TelevisionChannel(etb2) ∧ From(etb2, euskalIrratiTelebista) ∧ Group(euskalIrratiTelebista) LocatedIn(etb2, basqueAutonomousCommunity) ∧ LocatedIn(etb2, navarre) ∧ LocatedIn(etb2, frenchBasqueCountry) ∀x (BroadcastsIn(etb2, x) → Spanish(x)) ∀x ∀y ∀z (TelevisionChannel(x) ∧ HasReceptionArea(x, y) ∧ LocatedIn(z, y) → CanAccess(z, x)) HasReceptionArea(etb2, basqueCounty) LocatedIn(basqueAutonomousCommunity, basqueCounty) ∧ LocatedIn(navarre, basqueCounty) ∧ LocatedIn(frenchCasqueCountry, basqueCounty)
CanAccess(navarre, etb2)
T
TelevisionChannel(etb2) ∧ From(etb2, euskalIrratiTelebista) ∧ Group(euskalIrratiTelebista) LocatedIn(etb2, basqueAutonomousCommunity) ∧ LocatedIn(etb2, navarre) ∧ LocatedIn(etb2, frenchBasqueCountry) ∀x (BroadcastsIn(etb2, x) → Spanish(x)) ∀x ∀y ∀z (TelevisionChannel(x) ∧ HasReceptionArea(x, y) ∧ LocatedIn(z, y) → CanAccess(z, x)) HasReceptionArea(etb2, basqueCounty) LocatedIn(basqueAutonomousCommunity, basqueCounty) ∧ LocatedIn(navarre, basqueCounty) ∧ LocatedIn(frenchCasqueCountry, basqueCounty)
¬CanAccess(frenchCasqueCountry, etb2)
F
∀x (Musician(x) → Have(x, busyLife)) Musician(singhKaur) ∧ Famous(singhKaur) ∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeALotOfMoney(x)) ∃x (Musician(x) ∧ (Singer(x) ∨ Writer(x)))
MakeALotOfMoney(singhKaur)
U
∀x (Musician(x) → Have(x, busyLife)) Musician(singhKaur) ∧ Famous(singhKaur) ∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeALotOfMoney(x)) ∃x (Musician(x) ∧ (Singer(x) ∨ Writer(x)))
Writer(singhKaur)
U
∀x (Musician(x) → Have(x, busyLife)) Musician(singhKaur) ∧ Famous(singhKaur) ∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeALotOfMoney(x)) ∃x (Musician(x) ∧ (Singer(x) ∨ Writer(x)))
Have(singhKaur, busyLife)
T
Author(douglasAdams) ∧ Authored(douglasAdams, theSalmonOfDoubt) ∧ Book(theSalmonOfDoubt) About(theSalmonOfDoubt, lifeExperience) ∧ About(theSalmonOfDoubt, technology) ∀x (Author(x) → Writer(x)) ∀x (Writer(x) → Create(x, innovativeIdea)) ∃x ∃y (Contain(x, innovativeIdea) ∧ About(x, technology) ∧ (¬(x=y)) ∧ (Contain(y, innovativeIdea) ∧ About(y, technology)))
Writer(douglasAdams)
T
Author(douglasAdams) ∧ Authored(douglasAdams, theSalmonOfDoubt) ∧ Book(theSalmonOfDoubt) About(theSalmonOfDoubt, lifeExperience) ∧ About(theSalmonOfDoubt, technology) ∀x (Author(x) → Writer(x)) ∀x (Writer(x) → Create(x, innovativeIdea)) ∃x ∃y (Contain(x, innovativeIdea) ∧ About(x, technology) ∧ (¬(x=y)) ∧ (Contain(y, innovativeIdea) ∧ About(y, technology)))
Create(douglasAdams, innovativeIdea)
T
Author(douglasAdams) ∧ Authored(douglasAdams, theSalmonOfDoubt) ∧ Book(theSalmonOfDoubt) About(theSalmonOfDoubt, lifeExperience) ∧ About(theSalmonOfDoubt, technology) ∀x (Author(x) → Writer(x)) ∀x (Writer(x) → Create(x, innovativeIdea)) ∃x ∃y (Contain(x, innovativeIdea) ∧ About(x, technology) ∧ (¬(x=y)) ∧ (Contain(y, innovativeIdea) ∧ About(y, technology)))
¬Contain(theSalmonOfDoubt, innovativeIdea)
U
OfficeIn(ableton, germany) OfficeIn(ableton, unitedStates) ¬SameCountry(germany, unitedStates) ∀x ∀y ∀z (OfficeIn(x, y) ∧ OfficeIn(x, z) ∧ (¬SameCountry(y, z)) → MultinationalCompany(x)) MakesMusicSoftware(ableton)
MultinationalCompany(ableton)
T
OfficeIn(ableton, germany) OfficeIn(ableton, unitedStates) ¬SameCountry(germany, unitedStates) ∀x ∀y ∀z (OfficeIn(x, y) ∧ OfficeIn(x, z) ∧ (¬SameCountry(y, z)) → MultinationalCompany(x)) MakesMusicSoftware(ableton)
MakesAISoftware(ableton)
U
OfficeIn(ableton, germany) OfficeIn(ableton, unitedStates) ¬SameCountry(germany, unitedStates) ∀x ∀y ∀z (OfficeIn(x, y) ∧ OfficeIn(x, z) ∧ (¬SameCountry(y, z)) → MultinationalCompany(x)) MakesMusicSoftware(ableton)
¬OfficeIn(ableton, germany)
F
∀x (RoomFor(x, dessert) → RoomFor(x, broccoli)) ∀x (AtLuisParty(x) → RoomFor(x, dessert)) ¬RoomFor(mauricia, broccoli) AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison) RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus) Vegetable(broccoli) ∧ Vegetable(asparagus)
RoomFor(allison, broccoli)
T
∀x (RoomFor(x, dessert) → RoomFor(x, broccoli)) ∀x (AtLuisParty(x) → RoomFor(x, dessert)) ¬RoomFor(mauricia, broccoli) AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison) RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus) Vegetable(broccoli) ∧ Vegetable(asparagus)
AtLuisParty(mauricia)
F
∀x (RoomFor(x, dessert) → RoomFor(x, broccoli)) ∀x (AtLuisParty(x) → RoomFor(x, dessert)) ¬RoomFor(mauricia, broccoli) AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison) RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus) Vegetable(broccoli) ∧ Vegetable(asparagus)
RoomFor(gustave, dessert)
U
∃x (Project(x) ∧ Do(sam, x)) ∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python))) ∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac)) Use(sam, mac) ∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x)) ∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect))
∀x (Project(x) ∧ Do(sam, x) ∧ WrittenIn(x, cplusplus))
T
∃x (Project(x) ∧ Do(sam, x)) ∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python))) ∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac)) Use(sam, mac) ∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x)) ∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect))
∀x (Song(x) ∧ Play(sam, x) ∧ Titled(x, perfect))
U
∃x (Project(x) ∧ Do(sam, x)) ∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python))) ∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac)) Use(sam, mac) ∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x)) ∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect))
∀x (Titled(x, perfect) → Play(sam, x))
U
HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)
OpenToPublic(usssalem)
T
HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)
∃x (MuseumShip(x) ∧ OpenToPublic(x) ∧ ServedIn(x, mediterranean))
T
HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)
¬LastHeavyCruiserToEnterService(usssalem)
F
∀x (Depressing(x) → Sad(x)) Depressing(v)
Invigorating(v)
U
∀x (Country(x) ∧ PossibleEffectiveMonetaryPolicy(x) → SuccessfulInflationControl(x) ∧ StongNationalCurrency(x)) ¬(∃x (Country(x) ∧ SuccessfulInflationControl(x) ∧ RegulateExchangeRate(x))) ∀x (IntroductionOfOn(x, embargo, foreightTradeGoods) → SharpDecreasesInExport(x)) ∀x (SharpDecreasesInExport(x) → ¬StongNationalCurrency(x)) ∀x (InflationControl(x) → StongNationalCurrency(x)) IntroductionOfOn(russia, embargo, foreightTradeGoods)
PossibleEffectiveMonetaryPolicy(russia)
F
IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))
IsRapAlbum(wellDone3)
T
IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))
IsOperaSinger(tyga)
F
IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))
IsWorthListening(wellDone3)
U
System(playStation2) ∧ CameraAccessoryFor(playStationEyeToy, playStation2) System(playStation3) ∧ CameraAccessoryFor(playStationEye, playStation3) System(playStation4) ∧ System(playStation5) ∧ CameraAccessoryFor(playStationCamera, playStation4) ∧ CameraAccessoryFor(playStationCamera, playStation5) ∀x ∀y (CameraAccessoryFor(x, y) ∧ System(y) → CompatibleWith(x, y)) ¬(playStation2=playStation3) ∧ ¬(playStation2=playStation4) ∧ ¬(playStation2=playStation5) ∧ ¬(playStation3=playStation4) ∧ ¬(playStation3=playStation5) ∧ ¬(playStation4=playStation5) ∀x ∃y ∃z (System(y) ∧ System(z) ∧ ¬(y=z) ∧ CompatibleWith(x, y) ∧ CompatibleWith(x, z) → x=playstationCamera)
Compatible(playStationEye, playStation2) ∧ Compatible(playStationEye, playStation3)
F
System(playStation2) ∧ CameraAccessoryFor(playStationEyeToy, playStation2) System(playStation3) ∧ CameraAccessoryFor(playStationEye, playStation3) System(playStation4) ∧ System(playStation5) ∧ CameraAccessoryFor(playStationCamera, playStation4) ∧ CameraAccessoryFor(playStationCamera, playStation5) ∀x ∀y (CameraAccessoryFor(x, y) ∧ System(y) → CompatibleWith(x, y)) ¬(playStation2=playStation3) ∧ ¬(playStation2=playStation4) ∧ ¬(playStation2=playStation5) ∧ ¬(playStation3=playStation4) ∧ ¬(playStation3=playStation5) ∧ ¬(playStation4=playStation5) ∀x ∃y ∃z (System(y) ∧ System(z) ∧ ¬(y=z) ∧ CompatibleWith(x, y) ∧ CompatibleWith(x, z) → x=playstationCamera)
Compatible(playStationEyeToy, playStation2)
T
System(playStation2) ∧ CameraAccessoryFor(playStationEyeToy, playStation2) System(playStation3) ∧ CameraAccessoryFor(playStationEye, playStation3) System(playStation4) ∧ System(playStation5) ∧ CameraAccessoryFor(playStationCamera, playStation4) ∧ CameraAccessoryFor(playStationCamera, playStation5) ∀x ∀y (CameraAccessoryFor(x, y) ∧ System(y) → CompatibleWith(x, y)) ¬(playStation2=playStation3) ∧ ¬(playStation2=playStation4) ∧ ¬(playStation2=playStation5) ∧ ¬(playStation3=playStation4) ∧ ¬(playStation3=playStation5) ∧ ¬(playStation4=playStation5) ∀x ∃y ∃z (System(y) ∧ System(z) ∧ ¬(y=z) ∧ CompatibleWith(x, y) ∧ CompatibleWith(x, z) → x=playstationCamera)
Compatible(playStationCamera, playStation2) ∧ Compatible(playStationCamera, playStation3) ∧ Compatible(playStationCamera, playStation4) ∧ Compatible(playStationCamera, playStation5)
U