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∀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