premises
stringlengths 41
783
| conclusion
stringlengths 8
565
| truth_value
stringclasses 3
values |
|---|---|---|
∀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) ∧ CenterBack(stephenCurry)
|
F
|
∀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) ∧ CenterBack(stephenCurry))
|
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)
|
U
|
∀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))
|
(PermanentMemberOf(ryan, orchestra) ⊕ TouringMusician(ryan))
|
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))
|
(PermanentMemberOf(ryan, orchestra) ⊕ HaveTemporaryRoleAt(ryan, orchestra))
|
T
|
∀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)
|
U
|
∀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)
|
¬(FullTimeScientist(amy) ∨ OlympicGoldMedalWinner(amy))
|
T
|
∀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)
|
¬OlympicGoldMedalWinner(amy) → NobelPhysicsLaureate(amy)
|
F
|
∀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)
|
U
|
∀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)
|
U
|
∀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)))
|
ThisBrand(g910) ∧ ReturnedBy(g910, customer)
|
F
|
∀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)))
|
ThisBrand(g910) ∧ (ReturnedBy(g910, customer) ∨ SoldIn(g910, walmart))
|
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)))
|
ReturnedBy(g910, customer) ⊕ SoldIn(g910, walmart)
|
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)
|
U
|
∃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)
|
Apply(philip, schengenVisa) ∧ Get(philip, schengenVisa)
|
F
|
∃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)
|
(¬Request(philip, documentsFromBank) ∧ ¬Get(x, schengenVisa)) → Apply(x, schengenVisa)
|
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)
|
U
|
∀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))
|
VisitDaily(taylor, gym)
|
F
|
∀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))
|
¬GrowUpIn(taylor, health-consciousChildhoodHome) ∧ ¬VisitDaily(taylor, gym))
|
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)
|
U
|
∀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)
|
U
|
∀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)
|
Bad(worksheet)
|
F
|
∀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)
|
¬Bad(worksheet)
|
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)
|
U
|
∀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)
|
U
|
∀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))
|
Baby(murphy) ∨ Have(murphy, curlyHair)
|
F
|
∀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))
|
¬Baby(murphy) ∧ ¬Have(murphy, curlyHair)
|
T
|
∀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)
|
U
|
∀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)
|
¬Take(mike, barExam) ∧ ¬(KnowledgeableAbout(mike, criminalProcedures)∧ GetOn(mike, 180, lSAT))
|
T
|
∀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)
|
Take(mike, barExam)
|
F
|
∀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)
|
F
|
∀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)
|
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))
|
Plant(bailey)
|
U
|
∀x (Animal(x) → ¬Plant(x))
∀x (Human(x) → Animal(x))
∀x (Pupil(x) → Human(x))
∀x (Flower(x) → Plant(x))
¬(Human(bailey) ⊕ Flower(bailey))
|
Human(bailey) → ¬Pupil(bailey)
|
T
|
∀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)
|
U
|
∀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))
|
ColorectalCancer(arthritis)
|
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))
|
¬ColorectalCancer(arthritis)
|
T
|
∀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))
|
ColorectalCancer(arthritis) ∨ Have(arthritis, mutation)
|
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))
|
ColorectalCancer(arthritisr) ∧ Cancer(arthritis)
|
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))
|
¬ColorectalCancer(arthritis) → Have(arthritis, mutation)
|
F
|
∀x (BrownSwissCattle(x) → Cow(x))
∃x (Pet(x) ∧ BrownSwissCattle(x))
∀x (Cow(x) → DomesticatedAnimal(x))
∀x (Aligator(x) → ¬DomesticatedAnimal(x))
Aligator(ted)
|
Pet(ted)
|
U
|
∀x (BrownSwissCattle(x) → Cow(x))
∃x (Pet(x) ∧ BrownSwissCattle(x))
∀x (Cow(x) → DomesticatedAnimal(x))
∀x (Aligator(x) → ¬DomesticatedAnimal(x))
Aligator(ted)
|
Pet(ted) ∧ BrownSwissCattle(ted)
|
F
|
∀x (BrownSwissCattle(x) → Cow(x))
∃x (Pet(x) ∧ BrownSwissCattle(x))
∀x (Cow(x) → DomesticatedAnimal(x))
∀x (Aligator(x) → ¬DomesticatedAnimal(x))
Aligator(ted)
|
BrownSwissCattle(ted) → ¬Pet(ted)
|
T
|
∀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)
|
U
|
∀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) ∧ ¬(FIFASeries(beLionel) ⊕ Support(beLionel, pS4))
|
T
|
∀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) ∧ FIFASeries(beLionel) ⊕ Support(beLionel, pS4)
|
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) ∧ ¬(FIFASeries(beLionel) ∨ Support(beLionel, pS4))
|
F
|
∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x))
∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x))
∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x)))
∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))
NBAPlayer(stephencurry)
|
ProfessionalCenterback(stephenCurry)
|
U
|
∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x))
∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x))
∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x)))
∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))
NBAPlayer(stephencurry)
|
¬(ProfessionalCenterback(stephenCurry) ∧ ProfessionalSoccerDefender(stephenCurry))
|
F
|
∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x))
∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x))
∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x)))
∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))
NBAPlayer(stephencurry)
|
¬(Centerback(stephenCurry) ∧ SoccerDefender(stephenCurry)) → ¬(SoccerPlayer(stephenCurry) ∨ ProfessionalBasketballPlayer(stephenCurry))
|
T
|
∀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))
|
U
|
∀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) ∧ Evocative(x) ∧ Dreamy(x))
|
T
|
∀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) ∧ (Evocative(x) ⊕ Dreamy(x)))
|
F
|
∀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)
|
F
|
∀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))
|
SoldIn(thinkpadX1, appleStore)
|
U
|
∀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) ∧ Macbook(thinkpadX1)
|
F
|
∀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)) ⊕ Macbook(thinkpadX1)
|
F
|
∀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) ∧ Macbook(thinkpadX1)) → ¬(With(thinkpadX1, appleM2Chip) ∨ SoldIn(thinkpadX1, appleStore))
|
T
|
∀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)
|
U
|
∀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)
|
U
|
∀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) ∨ Cute(rockie)
|
T
|
∀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) ∧ Squirrel(rockie)) → Cute(rockie) ⊕ Skittish(rockie)
|
T
|
∀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)
|
Cute(rockie) ∧ Calm(rockie) → Turtle(rockie) ∧ Skittish(rockie)
|
F
|
∀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)
|
U
|
∀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)
|
∀x (PaymentCard(bankOfAmerica) ∧ International(bankOfAmerica) ∧ SocialPayment(x) ∧TransferredTo(x, bankOfAmerica))
|
F
|
∀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)
|
∀x ((PaymentCard(bandOfAmerica) ∧ International(bandOfAmerica) ∧ SocialPayment(x) ∧ TransferredTo(x, bandOfAmerica)) → International(bandOfAmerica))
|
T
|
∀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)
|
T
|
∀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)
|
IdealFor(tikTok, preteen) ⊕ ComputerProgram(tikTok)
|
T
|
∀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)
|
¬Contain(tikTok, chatFeature) ∨ ¬ComputerProgram(tikTok))
|
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)
|
Contain(tikTok, chatFeature) ⊕ ComputerProgram(tikTok))
|
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)
|
U
|
∀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)
|
Edible(coke) ∧ Sweet(coke)
|
T
|
∀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)
|
¬(Edible(coke) ∧ Sweet(coke))
|
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)
|
U
|
∀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))
|
CanVote(jack) ∧ CanGetMarried(jack)
|
T
|
∀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))
|
CanVote(jack) ⊕ CanGetMarried(jack)
|
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)
|
U
|
∀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))
|
Affect(adenocarcinoma, men)
|
T
|
∀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))
|
(Affect(adenocarcinoma, men) ∨ Without(adenocarcinoma, mutation)) → (NonProstateCancer(adenocarcinoma) ∧ Without(adenocarcinoma, mutation))
|
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)
|
T
|
∀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)
|
LostTo(cocoGauff, świątek) ∧ At(cocoGauff, rolandGarros2022)
|
U
|
∀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)
|
¬(LostTo(cocoGauff, świątek) ∧ At(cocoGauff, rolandGarros2022)) ∨ ¬MostActivePlayerIn(cocoGauff, majorTennis)
|
F
|
∀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)
|
U
|
∀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) ∧ Scientist(billy)
|
F
|
∀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) ∨ Scientist(billy)) → (Student(billy) ∧ Kid(billy))
|
T
|
∀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)
|
U
|
∀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))
|
¬(PickyEater(hannah) ∧ Spend(hannah, aLotOfTime, eating) ∧ Spend(hannah, aLotOfTime, catchingUpWithFriends, diningHall))
|
T
|
∀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))
|
PickyEater(hannah) ⊕ (Spend(hannah, aLotOfTime, eating) ∧ Spend(hannah, aLotOfTime, catchingUpWithFriends, diningHall))
|
F
|
∀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)
|
U
|
∀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)
|
U
|
∀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) ∧ Iphone(jack)
|
F
|
∀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) ∧ Iphone(jack))
|
T
|
∀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)
|
U
|
∀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)))
|
BlockDesign(pictureMemory)
|
T
|
∀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)))
|
BlockDesign(pictureMemory) ⊕ Analyze(pictureMemory, data)
|
T
|
∀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)))
|
¬Analyze(pictureMemory, data) → (BlockDesign(pictureMemory) ∧ Analyze(pictureMemory, data))
|
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)
|
U
|
∀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))
|
U
|
∀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)
|
CanParticipateIn(ekaterina, 2024UnitedStatesElection) ∨ ManagerAt(ekaterina, gazprom)
|
T
|
∀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)
|
CanParticipateIn(ekaterina, 2024UnitedStatesElection) ⊕ ManagerAt(vladimir, gazprom)
|
T
|
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