premises
stringlengths 41
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|---|---|---|
∀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) | CanRegisterToVoteIn(ekaterina, unitedStates) ∧ CanParticipateIn(vladimir, 2024UnitedStatesElection) | F |
∀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) | U |
∀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) | U |
∀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)) | Manager(james) → ¬Work(james, home) | T |
∃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) | U |
∃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) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) | T |
∃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) ∧ Professional(yuri) ∧ BasketballPlayer(yuri) | 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) | ¬LeapStraightIntoAir(yuri) → (AmericanNational(yuri) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) | 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) ∧ Professional(yuri) ∧ BasketballPlayer(yuri)) → (Professional(yuri) ∧ BasketballPlayer(yuri)) | 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) | T |
∀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) | Song(asItWasByHarryStyles) ∧ From(asItWasByHarryStyles, 12thCentury) | U |
∀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) | ¬(Song(asItWasByHarryStyles) ∧ By(asItWasByHarryStyles, kanyeWest) ∧ NeedToBeWrittenWith(asItWasByHarryStyles, words)) | F |
∀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) | U |
∀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)) | Measures(nearInfraredSpectroscopy, voltageChange) ∧ Uses(nearInfraredSpectroscopy, electrode) | F |
∀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) ∧ Magnetoencephalography(nearInfraredSpectroscopy) | F |
∀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)) | (Electroencephalogram(nearInfraredSpectroscopy) ∨ Magnetoencephalography(nearInfraredSpectroscopy)) → (Measures(nearInfraredSpectroscopy, voltageChange) ∧ Uses(nearInfraredSpectroscopy, electrode)) | 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)) | (Measures(nearInfraredSpectroscopy, voltageChange) ⊕ Uses(nearInfraredSpectroscopy, electrode)) → (Uses(nearInfraredSpectroscopy, electrode) ∧ FMRI(nearInfraredSpectroscopy)) | T |
∃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) | U |
∃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) ∧ Teacher(mary) ∧ WorkAt(mary, pool)) | T |
∃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) ∧ Teacher(mary) ∧ WorkAt(mary, pool) | F |
∀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) | U |
∀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)) | ComplainAboutOften(luke, annoyingSiblings) | F |
∀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)) | ¬(BornIn(luke, multipleBirth) ∨ ComplainAbout(luke, often, annoyingSiblings) ) | T |
∀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) | U |
∀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) ∧ MeanTo(tom, animal)) | T |
∀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) ∧ MeanTo(tom, animal)) → ¬Grumpy(tom) ∧ ¬AnimalLover(tom)) | 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) | U |
∀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) ∨ HardWorking(pan) | T |
∀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) ∧ ¬HardWorking(pan) | F |
∀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) | U |
∀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) | DeriveFrom(generalPrinciple, observations) ∧ UsedFor(x, statisticalGeneralization) | F |
∀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) | ¬(Derive(generalPrinciple, observations) ⊕ UsedFor(x, statisticalGeneralization)) → (¬InductiveReasoning(modusPonens) ∧ (¬UsedFor(modusPonens, statisticalGeneralization))) | 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) | U |
∃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) | ¬(GoodAt(leif, math) ∧ WorkIn(leif, businessAnalysis)) | F |
∃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) | ¬(GoodAt(leif, math) ∧ WorkIn(leif, businessAnalysis)) → (¬WorkFor(x, thisCompany) ∧ ¬WorkIn(x, softwareEngineering)) | T |
∀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) | F |
∀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) | T |
∀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) | PhDStudent(john) | U |
∀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) | U |
∀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) | U |
∀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) | Lemon(banana) ∧ Meadow(banana) | F |
∀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) | ¬(Lemon(banana) ∧ Meadow(banana)) | T |
∀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) | U |
∀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)) | Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999) | T |
∀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)) | Refillable(rougeDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999) | 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)) | ¬((Lipstick(rougeDiorColoredLipBalm999) ∧ In(rougeDiorColoredLipBalm999, rougeDiorSet) ∧ In(rougeDiorColoredLipBalm999, lunarNewYearLimitedEdition) ∧ VelvetFinish(rougeDiorColoredLipBalm999) ∧ Refillable(rougeDiorColoredLipBalm999)) → (¬Refillable(rougeDiorColoredLipBalm999) ∧ ¬RosewoodInDescription(rougeDiorColoredLipBalm999))) | T |
∀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)) | (Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999)) —> (VelvetFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) | 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)) | (¬RosewoodInDescription(rougeEDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → RosewoodInDescription(rougeDiorColoredLipBalm999) | 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)) | (RosewoodInDescription(rougeDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → ¬(SatinFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) | 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)) | (Refillable(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) → (Refillable(rougeEDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999)) | F |
∀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) | U |
∀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) | ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) | 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) | ConsidersMostImportantLoveLanguage(adam, physicalTouch) ∧ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) | F |
∀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) | ConsidersMostImportantLoveLanguage(adam, physicalTouch) ⊕ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) | 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) | (ConsidersMostImportantLoveLanguage(adam, physicalTouch, mostImportantLoveLanguage) ∨ GoodWith(x, pet)) → ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation) | 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) | U |
∀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) | U |
∀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) | Wizard(harry) ∨ Angry(harry) | F |
∀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) | ¬Wizard(harry) ∧ ¬Angry(harry) | T |
∀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) | U |
∀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) ∨ DesignedToBeOnlyUsedOnce(chopsticks) | T |
∀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)) | MadeFrom(chopsticks, plastic) ∨ DesignedBeOnlyUsedOnce(chopsticks) → MadeFrom(chopsticks, plastic) ∧ EcoFriendly(chopsticks) | F |
∀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) | U |
∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))
∀x (DigitalWatch(x) → BatteryPoweredWatch(x))
∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))
∀x (SmartWatch(x) → DigitalWatch(x))
¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)) | SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) | F |
∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))
∀x (DigitalWatch(x) → BatteryPoweredWatch(x))
∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))
∀x (SmartWatch(x) → DigitalWatch(x))
¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)) | SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) → ¬MechanicalWatch(moonwatch) | 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)) ∨ BatteryPoweredWatch(moonwatch) → ¬SmartWatch(moonwatch) | T |
∀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) | U |
∀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) | Invertebrate(harry) ∨ QueenBee(harry) | T |
∀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) | ¬(Invertebrate(harry) ⊕ With(harry, backbone)) → ¬Invertebrate(harry) ∧ ¬QueenBee(harry) | F |
∀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)) | F |
∀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 (Provide(hamdenPlazaSubway, takeOutService) ∨ (NegativeReview(x) ∧ ¬Receive(hamdenPlazaSubway, x))) | T |
∀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)) | ¬Provide(hamdenPlazaSubway, takeOutService) | U |
∀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) | F |
∀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)) | Leukemia(bladderCancer) | U |
∀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)) | RareDisease(bladderCancer) ⊕ Mild(bladderCancer) | T |
∀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) | U |
∀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)) | TakenSelfieAt(kate, basilicaSagradaFamilia) | 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)) | ¬TakenSelfieAt(kate, basilicaSagradaFamilia) | T |
∀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)) | NeverLeft(kate, uSA) | 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)) | ¬NeverLeft(kate, uSA) | T |
∀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)) | TakenSelfieAt(kate, basilicaSagradaFamilia) ⊕ NeverLeft(kate, uSA) | 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)) | ¬(TakenSelfieAt(kate, basilicaSagradaFamilia) ∧ BeenTo(kate, europe)) → ¬NeverLeft(kate, uSA) | T |
∀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)) | ¬(TakenSelfieAt(kate, basilicaSagradaFamilia) ∧ BeenTo(kate, europe)) → TakenSelfieAt(kate, basilicaSagradaFamilia) | F |
∀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) | F |
∀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) | T |
∀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) | UnfinishedInCourse(sustainibleEnergySources) | U |
∀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) | U |
∀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) | PhDStudent(paul) ∧ Took(paul, appliedLinguisticsCourse) | F |
∀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) | ¬(PhDStudent(paul) ∧ Took(paul, appliedLinguisticsCourse)) | 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) | U |
∀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))) | ¬CommitCrime(garry) ∧ CanArgueAgainst(garry, punishment) | F |
∀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))) | ¬(Innocent(garry) ∧ ¬CommitCrime(garry)) | 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) | U |
∀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) ∧ Philosopher(theisticGod) | F |
∀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) | Philosopher(theisticGod) → ¬Sophist(theisticGod) | 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) | F |
∀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) | 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) | BengalTiger(fido) | U |
∀x (Tiger(x) → Cat(x))
∀x (Cat(x) → ¬Dog(x))
∀x (BengalTiger(x) → Tiger(x))
∀x (Husky(x) → Dog(x))
BengalTiger(fido) ⊕ Cat(fido) | ¬Dog(fido) ∧ ¬Husky(fido) | 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) | U |