akshay107/FOLIO-fol · Datasets at Hugging Face

data stringlengths 12 378	fol stringlengths 8 885
Mike took the bar exam.	Take(mike, barExam)
Some soccer defenders are center-backs.	∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x))
Stephen Curry is a center-back.	ProfessionalCenterback(stephenCurry)
Stephen Curry is not both a centerback and a soccer defender.	¬(ProfessionalCenterback(stephenCurry) ∧ ProfessionalSoccerDefender(stephenCurry))
If Stephen Curry is not both a centerback and a soccer defender, then Stephen Curry is neither a soccer player nor a professional basketball player.	¬(Centerback(stephenCurry) ∧ SoccerDefender(stephenCurry)) → ¬(SoccerPlayer(stephenCurry) ∨ ProfessionalBasketballPlayer(stephenCurry))
If a person doesn't have enough money to buy a product, then that person can't buy it.	∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))
Monitors are products.	∀x (Monitor(x) → Product(x))
4k monitors are more expensive than 1080 monitors and 2k monitors.	∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))
John is a person.	Person(john)
John doesn't have enough money to buy a 2k monitor.	∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x))
John can't buy a 1080 monitor.	∀x (Monitor(x) ∧ OneOEightO(x) → ¬Buy(john, x))
John can't buy a 2k monitor.	∀x (Monitor(x) ∧ TwoK(x) → ¬Buy(john, x))
All artificial satellites are important scientific achievements.	∀x (ArtificialSatellite(x) → ImportantScientificAchievement(x))
Some artificial satellites are not U.S. inventions.	∃x (ArtificialSatellite(x) ∧ ¬USInvention(x))
All important scientific achievements are U.S. inventions.	∀x (ImportantScientificAchievement(x) ∧ USInvention(x))
Some cats are not pets.	∃x (Cat(x) ∧ ¬Pet(x))
All cats are mammals.	∀x (Cat(x) → Mammal(x))
Some mammals are not pets.	∃x ∃y (Mammal(x) ∧ Mammal(y) ∧ ¬Pet(x) ∧ ¬Pet(y))
If people in this neighborhood visit a coffee shop regularly, then they are addicted to coffee.	∀x (In(x, thisNeighborhood) ∧ VisitRegularly(x, coffeeShop) → AddictedTo(x, coffee))
People in this neighborhood visit a coffee shop regularly or order takeout at least once a day.	∀x (In(x, thisNeighborhood) → (VisitRegularly(x, coffeeShop) ∨ (∃y (TakeOut(y) ∧ Order(x, y, aDay))))
If people in this neighborhood make a lot of their own food at home using recipes and online guides, then they order takeout at least once a day.	∀x (In(x, thisNeighborhood) ∧ MakeAtUsing(x, home, ownFood, recipe) → ∃y (TakeOut(y) ∧ Order(x, y)))
If people in this neighborhood own at least one coffeemaker and one blender in their home, then they do not order takeout at least once a day.	∀x (In(x, thisNeighborhood) ∧ ∃y (CoffeemakerAndBlender(y) ∧ Own(x, y)) → ¬OrderAtLeastOnceADay(x, takeout))
All people in this neighborhood who lead very busy lives that include 12-hour work hours make a lot of their own food at home using recipes and online guides.	∀x (In(x, thisNeighborhood) ∧ BusyWith(x, 12HourWorkHour) → MakeAtUsing(x, home, ownFood, recipe))
Sam is living in this neighborhood, and he is either addicted to coffee or other caffeinated drinks and leads a very busy life that include 12-hour work hours, or is not addicted to coffee and does not lead a very busy life that include 12-hour work hours	In(sam, thisNeighborhood) ∧ ¬(AddictedTo(sam, coffee) ⊕ BusyWith(sam, 12HourWorkHour))
Sam is living in this neighborhood and he is addicted to coffee.	InThisNeighborhood(sam) ∧ AddictedTo(sam, coffee)
Sam is living in this neighborhood and he owns at least one coffeemaker and one blender in his home.	∃y (CoffeemakerAndBlender(y) ∧ Own(sam, y))
Sam is living in this neighborhood and he owns at least one coffeemaker and one blender in his home or orders takeout at least once a day.	(∃y (CoffeemakerAndBlender(y) ∧ Own(sam, y)) ∨ (∃y (TakeOut(y) ∧ Order(sam, y, aDay)))
No professional basketball players are soccer players.	∀x (ProfessionalBasketballPlayer(x) → ¬ProfessionalSoccerPlayer(x))
All centerbacks are soccer defenders.	∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x))
Roger Federer is either both an NBA player and a soccer defender, or neither.	¬(NBAPlayer(rogerfederer) ⊕ ProfessionalSoccerDefender(rogerfederer))
Roger Federer is a centerback.	ProfessionalCenterback(rogerFederer)
Roger Federer is not a centerback.	¬ProfessionalCenterback(rogerFederer)
Roger Federer is a soccer player.	ProfessionalSoccerPlayer(rogerFederer)
Some teachers who work at pools are not nice.	∃x (Teacher(x) ∧ WorkAt(x, pool) ∧ ¬Nice(x))
All teachers working at pools are pool managers.	∀x (Teacher(x) ∧ WorkAt(x, pool) → PoolManager(x))
All pool managers are lifeguards.	∀x (PoolManager(x) → Lifeguard(x))
If someone is a lifeguard, then they work at a pool.	∀x (Lifeguard(x) → WorkAt(x, pool))
Mary does not work at a pool.	¬WorkAt(mary, pool)
Mary is nice.	Nice(mary)
Mary is not a nice teacher working at a pool.	¬(Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool))
Mary is is a nice teacher working at a pool.	Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool)
Not all art pieces require talent.	∃x (ArtPiece(x) ∧ ¬Require(x, talent))
Everything that requires talent requires practice.	∀x (Require(x, talent) → Require(x, practice))
There exist art pieces that do not require practice.	∃x ∃y (ArtPiece(x) ∧ ¬Require(x, practice) ∧ ArtPiece(y) ∧ ¬Require(y, practice) ∧ ¬(x=y))
Bernarda Bryson Shahn was a painter and lithographer.	Painter(bernardaBrysonShahn) ∧ Lithographer(bernardaBrysonShahn)
Bernarda Bryson Shahn was born in Athens, Ohio.	BornIn(bernardaBrysonShahn, athensOhio)
Bernarda Bryson Shahn was married to Ben Shahn.	MarriedTo(bernardaBrysonShahn, benShahn)
People born in Athens, Ohio, are Americans.	∀x (BornIn(x, athensOhio) → American(x))
Bernarda Bryson Shahn was born in Greece.	BornIn(bernardaBrysonShahn, greece)
Bernarda Bryson Shahn was American.	American(bernardaBrysonShahn)
Bernarda Bryson Shahn had been divorced once.	Divorced(bernardaBrysonShahn)
Everybody in Emma's family who upgrade to the newest iPhone model every year, are not saving money for a down payment on a new house.	∀x (InEmmasFamily(x) ∧ UpgradeToEveryYear(x, newestIphoneModel) → ¬SavingMoneyForOn(x, downPayment, newHouse))
Everybody in Emma's family who enjoy reading about tech specs and keeping up to date on the latest technology upgrade to the newest iPhone model every year.	∀x (InEmmasFamily(x) ∧ EnjoyReading(x, techSpec) ∧ KeepUpdatedOn(x, latestTechnology) → UpgradeToEveryYear(x, newestIphoneModel))
Everybody in Emma's family is saving money for a down payment on a new house, or lives in an apartment in a big metropolitan cities.	∀x (InEmmasFamily(x) ∧ (SavingMoneyForOn(x, downPayment, newHouse) ∨ LiveIn(x, apartment, bigMetropolitanCity)))
Everybody in Emma's family live with at least one roommate, does not own any pets.	∀x (InEmmasFamily(x) ∧ (∃y (LiveWith(x, y) ∧ Roommate(y))) → ¬(∃y (Own(x, y) ∧ Pet(y))))
Everybody in Emma's family who owns at least one pet lives with at least one roommate.	∀x (InEmmasFamily(x) ∧ (∃y (Own(x, y) ∧ Pet(y))) → (∃y (LiveWith(x, y) ∧ Roommate(y))))
Emily is in Emma's family.	InEmmasFamily(emily)
If Emily does not both own at least one pet and lives in apartments in big metropolitan cities, then Emily either owns at least one pet and lives in an apartment in big metropolitan cities, or she neither owns a pet nor lives in an apartment in big metropolitan cities.	((∃y (Own(emily, y) ∧ Roommate(y))) ∧ LiveIn(emily, apartment, bigMetropolitanCity)) → ((∃y (Own(emily, y) ∧ Pet(y))) ∧ LiveIn(emily, apartment, bigMetropolitanCity)) ⊕ ¬((∃y (Own(emily, y) ∧ Roommate(y))) ∨ LiveIn(emily, apartment, bigMetropolitanCity))
Emily is in Emma's family and she lives with at least one roommate.	∃y (LiveWith(emily, y) ∧ Roommate(y))
Emily enjoys reading about tech specs and keeping up to date on the latest technology.	EnjoyReading(emily, techSpec) ∧ KeepUpdatedOn(emily, latestTechnology)
People on the payroll are being paid by the school.	∀x (OnPayroll(x) → PaidBy(x, school))
If someone has a job at a school, then they are on the payroll.	∀x (HaveJobAt(x, school) → OnPayroll(x))
All faculty members have a job at a school.	∀x (FacultyMember(x) → HaveJobAt(x, school))
If someone teaches students, they are a faculty member or a teacher.	∀x (Teach(x, student) → FacultyMember(x) ∨ Teacher(x))
Every teacher has students.	∀x (Teacher(x) → Have(x, student))
If Nancy is a teacher, then they are on the payroll.	Teacher(nancy) → OnPayroll(nancy)
If Nancy is not a teacher, then they are not paid by the school.	¬Teacher(nancy) → ¬OnPayroll(nancy)
Nancy teaches students.	Teach(nancy, student)
Nancy is a faculty member.	FacultyMember(nancy)
Nancy is paid by the school and has students.	PaidBy(nancy, school) ∧ Have(nancy, student)
Nancy is not paid by the school or does not have students.	¬PaidBy(nancy, school) ∨ ¬Have(nancy, student))
Kangaroos are an animal.	∀x (Kangaroo(x) → Animal(x))
No Kangaroos live in Germany.	∀x (Kangaroo(x) → ¬LiveIn(x, germany))
Jane will fly to Germany if she saves enough money for the summer.	SavesFor(jane, enoughMoney, theSummer) → FlyTo(jane, germany)
If Jane flies to Germany, she will go to the Berlin Zoo.	FlyTo(jane, germany) → GoTo(jane, berlinzoo)
If someone goes to the Berlin Zoo, they will see some of the animals in Germany.	∀x ∃y (GoTo(x, berlinzoo) ∧ LiveIn(x, germany) ∧ Animal(y) → WillSee(y, x, berlinzoo))
Jane will see a kangaroo if she saves enough money for the summer.	∃x (SavesFor(jane, enoughMoney, theSummer) ∧ Kangaroo(x) → WillSee(x, jane, berlinzoo))
If a class has prerequisites, the student must take the prerequisites to take the class.	∀x ∀y ∀z (Class(x) ∧ Student(y) ∧ Prereq(z,x) ∧ ¬Take(y, z) → ¬CanTake(y, x))
If a class has no prerequisites, then the student can take the class	∀x ∀y ((Class(x) ∧ Student(y) ∧ ¬∃z Prereq(z,x)) → CanTake(y, x))
CPSC 201 and CPSC 223 are prerequisites for CPSC 323.	Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)
Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.	∀x (Prereq(x,intermediateMicro) → x=introMicroeconomics)
Intro Geology has no prerequisites.	¬(∃x (Prereq(x, introGeology)))
CPSC 201 has no prerequisites.	∀x (¬Prereq(x, cpsc201))
If a student took CPSC 201 but did not take CPSC 223, they can take CPSC 323.	Taken(cpsc201) ∧ ¬Taken(cpsc223) ∧ CanTake(cpsc323)
A student cannot take Intro Geology.	¬CanTake(introgeology)
Intermediate Microeconomics has one prerequisite.	∃x (Taken(x) → CanTake(intermediatemicro))
Heptalogyy is a compound literary or narrative work that is made up of seven distinct works.	∀x (SevenDistinctWorks(x) → Heptalogy(x))
The Harry Potter series consists of 7 distinct works.	SevenDistinctWorks(harryPotter)
The Chronicles of Narnia consists of 7 distinct works.	SevenDistinctWorks(chroniclesOfNarnia)
The Harry Potter series of books is Heptalogy.	Heptalogy(harryPotter)
The Chronicles of Narnia series of books is not Heptalogy.	¬Heptalogy(chroniclesOfNarnia)
The Lord of the Rings is Heptalogy.	Heptalogy(lordOfRings)
All people who attend Renaissance fairs regularly enjoy dressing up in old-fashioned and historical period clothing.	∀x (AttendRegularly(x, renaissanceFair) → Enjoy(x, dressingUp, oldFashionedClothing) ∧ Enjoy(x, dressingUp, historicalPeriodClothing))
If people are fascinated by the history of the Renaissance and other past eras, then they attend Renaissance fairs regularly.	∀x (FascinatedBy(x, historyOfRenaissance) → AttendRegularly(x, renaissanceFair))
People are fascinated by the history of the Renaissance and other past eras, or they are contemporary academics who enjoy learning.	∀x (FascinatedBy(x, historyOfRenaissance) ⊕ (ContemporaryAcademic(x) ∧ Enjoy(x, learning)))
People who are focused on futuristic and vocational subjects are contemporary academics who enjoy learning.	∀x (FocusedOn(x, futuristicSubject) ∧ FocusedOn(x, vocationalSubject) → ContemporaryAcademic(x) ∧ Enjoy(x, learning))
If people are professors who take a historical approach, then they are not contemporary academics who enjoy learning.	∀x (Professor(x) ∧ Take(x, historicalApproach) → ¬(ContemporaryAcademic(x) ∧ Enjoy(x, learning)))
If Clyde is not focused on futuristic and voctional subjects, then he is neither focused on futuristic and vocational subjects nor enjoys dressing up in old-fashioned and historical period clothing.	¬(FocusedOn(clyde, futuristicSubject) ∧ FocusedOn(clyde, vocationalSubject))→ ¬(FocusedOn(clyde, futuristicSubject) ∧ FocusedOn(clyde, vocationalSubject) ∨ (Enjoy(clyde, dressingUp, oldFashionedClothing) ∧ Enjoy(clyde, dressingUp, historicalPeriodClothing)))
Clyde attends Renaissance fairs regularly.	AttendRegularly(clyde, renaissanceFair)
Clyde is a professor who takes a historical approach.	Professor(clyde) ∧ Take(clyde, historicalApproach)

Mike took the bar exam.

Take(mike, barExam)

Some soccer defenders are center-backs.

∃x (ProfessionalSoccerDefender(x) ∧ ProfessionalCenterback(x))

Stephen Curry is a center-back.

ProfessionalCenterback(stephenCurry)

Stephen Curry is not both a centerback and a soccer defender.

¬(ProfessionalCenterback(stephenCurry) ∧ ProfessionalSoccerDefender(stephenCurry))

If Stephen Curry is not both a centerback and a soccer defender, then Stephen Curry is neither a soccer player nor a professional basketball player.

¬(Centerback(stephenCurry) ∧ SoccerDefender(stephenCurry)) → ¬(SoccerPlayer(stephenCurry) ∨ ProfessionalBasketballPlayer(stephenCurry))

If a person doesn't have enough money to buy a product, then that person can't buy it.

∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))

Monitors are products.

∀x (Monitor(x) → Product(x))

4k monitors are more expensive than 1080 monitors and 2k monitors.

∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))

John is a person.

Person(john)

John doesn't have enough money to buy a 2k monitor.

∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x))

John can't buy a 1080 monitor.

∀x (Monitor(x) ∧ OneOEightO(x) → ¬Buy(john, x))

John can't buy a 2k monitor.

∀x (Monitor(x) ∧ TwoK(x) → ¬Buy(john, x))

All artificial satellites are important scientific achievements.

∀x (ArtificialSatellite(x) → ImportantScientificAchievement(x))

Some artificial satellites are not U.S. inventions.

∃x (ArtificialSatellite(x) ∧ ¬USInvention(x))

All important scientific achievements are U.S. inventions.

∀x (ImportantScientificAchievement(x) ∧ USInvention(x))

Some cats are not pets.

∃x (Cat(x) ∧ ¬Pet(x))

All cats are mammals.

∀x (Cat(x) → Mammal(x))

Some mammals are not pets.

∃x ∃y (Mammal(x) ∧ Mammal(y) ∧ ¬Pet(x) ∧ ¬Pet(y))

If people in this neighborhood visit a coffee shop regularly, then they are addicted to coffee.

∀x (In(x, thisNeighborhood) ∧ VisitRegularly(x, coffeeShop) → AddictedTo(x, coffee))

People in this neighborhood visit a coffee shop regularly or order takeout at least once a day.

∀x (In(x, thisNeighborhood) → (VisitRegularly(x, coffeeShop) ∨ (∃y (TakeOut(y) ∧ Order(x, y, aDay))))

If people in this neighborhood make a lot of their own food at home using recipes and online guides, then they order takeout at least once a day.

∀x (In(x, thisNeighborhood) ∧ MakeAtUsing(x, home, ownFood, recipe) → ∃y (TakeOut(y) ∧ Order(x, y)))

If people in this neighborhood own at least one coffeemaker and one blender in their home, then they do not order takeout at least once a day.

∀x (In(x, thisNeighborhood) ∧ ∃y (CoffeemakerAndBlender(y) ∧ Own(x, y)) → ¬OrderAtLeastOnceADay(x, takeout))

All people in this neighborhood who lead very busy lives that include 12-hour work hours make a lot of their own food at home using recipes and online guides.

∀x (In(x, thisNeighborhood) ∧ BusyWith(x, 12HourWorkHour) → MakeAtUsing(x, home, ownFood, recipe))

Sam is living in this neighborhood, and he is either addicted to coffee or other caffeinated drinks and leads a very busy life that include 12-hour work hours, or is not addicted to coffee and does not lead a very busy life that include 12-hour work hours

In(sam, thisNeighborhood) ∧ ¬(AddictedTo(sam, coffee) ⊕ BusyWith(sam, 12HourWorkHour))

Sam is living in this neighborhood and he is addicted to coffee.

InThisNeighborhood(sam) ∧ AddictedTo(sam, coffee)

Sam is living in this neighborhood and he owns at least one coffeemaker and one blender in his home.

∃y (CoffeemakerAndBlender(y) ∧ Own(sam, y))

Sam is living in this neighborhood and he owns at least one coffeemaker and one blender in his home or orders takeout at least once a day.

(∃y (CoffeemakerAndBlender(y) ∧ Own(sam, y)) ∨ (∃y (TakeOut(y) ∧ Order(sam, y, aDay)))

No professional basketball players are soccer players.

∀x (ProfessionalBasketballPlayer(x) → ¬ProfessionalSoccerPlayer(x))

All centerbacks are soccer defenders.

∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x))

Roger Federer is either both an NBA player and a soccer defender, or neither.

¬(NBAPlayer(rogerfederer) ⊕ ProfessionalSoccerDefender(rogerfederer))

Roger Federer is a centerback.

ProfessionalCenterback(rogerFederer)

Roger Federer is not a centerback.

¬ProfessionalCenterback(rogerFederer)

Roger Federer is a soccer player.

ProfessionalSoccerPlayer(rogerFederer)

Some teachers who work at pools are not nice.

∃x (Teacher(x) ∧ WorkAt(x, pool) ∧ ¬Nice(x))

All teachers working at pools are pool managers.

∀x (Teacher(x) ∧ WorkAt(x, pool) → PoolManager(x))

All pool managers are lifeguards.

∀x (PoolManager(x) → Lifeguard(x))

If someone is a lifeguard, then they work at a pool.

∀x (Lifeguard(x) → WorkAt(x, pool))

Mary does not work at a pool.

¬WorkAt(mary, pool)

Mary is nice.

Nice(mary)

Mary is not a nice teacher working at a pool.

¬(Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool))

Mary is is a nice teacher working at a pool.

Nice(mary) ∧ Teacher(mary) ∧ WorkAt(mary, pool)

Not all art pieces require talent.

∃x (ArtPiece(x) ∧ ¬Require(x, talent))

Everything that requires talent requires practice.

∀x (Require(x, talent) → Require(x, practice))

There exist art pieces that do not require practice.

∃x ∃y (ArtPiece(x) ∧ ¬Require(x, practice) ∧ ArtPiece(y) ∧ ¬Require(y, practice) ∧ ¬(x=y))

Bernarda Bryson Shahn was a painter and lithographer.

Painter(bernardaBrysonShahn) ∧ Lithographer(bernardaBrysonShahn)

Bernarda Bryson Shahn was born in Athens, Ohio.

BornIn(bernardaBrysonShahn, athensOhio)

Bernarda Bryson Shahn was married to Ben Shahn.

MarriedTo(bernardaBrysonShahn, benShahn)

People born in Athens, Ohio, are Americans.

∀x (BornIn(x, athensOhio) → American(x))

Bernarda Bryson Shahn was born in Greece.

BornIn(bernardaBrysonShahn, greece)

Bernarda Bryson Shahn was American.

American(bernardaBrysonShahn)

Bernarda Bryson Shahn had been divorced once.

Divorced(bernardaBrysonShahn)

Everybody in Emma's family who upgrade to the newest iPhone model every year, are not saving money for a down payment on a new house.

∀x (InEmmasFamily(x) ∧ UpgradeToEveryYear(x, newestIphoneModel) → ¬SavingMoneyForOn(x, downPayment, newHouse))

Everybody in Emma's family who enjoy reading about tech specs and keeping up to date on the latest technology upgrade to the newest iPhone model every year.

∀x (InEmmasFamily(x) ∧ EnjoyReading(x, techSpec) ∧ KeepUpdatedOn(x, latestTechnology) → UpgradeToEveryYear(x, newestIphoneModel))

Everybody in Emma's family is saving money for a down payment on a new house, or lives in an apartment in a big metropolitan cities.

∀x (InEmmasFamily(x) ∧ (SavingMoneyForOn(x, downPayment, newHouse) ∨ LiveIn(x, apartment, bigMetropolitanCity)))

Everybody in Emma's family live with at least one roommate, does not own any pets.

∀x (InEmmasFamily(x) ∧ (∃y (LiveWith(x, y) ∧ Roommate(y))) → ¬(∃y (Own(x, y) ∧ Pet(y))))

Everybody in Emma's family who owns at least one pet lives with at least one roommate.

∀x (InEmmasFamily(x) ∧ (∃y (Own(x, y) ∧ Pet(y))) → (∃y (LiveWith(x, y) ∧ Roommate(y))))

Emily is in Emma's family.

InEmmasFamily(emily)

If Emily does not both own at least one pet and lives in apartments in big metropolitan cities, then Emily either owns at least one pet and lives in an apartment in big metropolitan cities, or she neither owns a pet nor lives in an apartment in big metropolitan cities.

((∃y (Own(emily, y) ∧ Roommate(y))) ∧ LiveIn(emily, apartment, bigMetropolitanCity)) → ((∃y (Own(emily, y) ∧ Pet(y))) ∧ LiveIn(emily, apartment, bigMetropolitanCity)) ⊕ ¬((∃y (Own(emily, y) ∧ Roommate(y))) ∨ LiveIn(emily, apartment, bigMetropolitanCity))

Emily is in Emma's family and she lives with at least one roommate.

∃y (LiveWith(emily, y) ∧ Roommate(y))

Emily enjoys reading about tech specs and keeping up to date on the latest technology.

EnjoyReading(emily, techSpec) ∧ KeepUpdatedOn(emily, latestTechnology)

People on the payroll are being paid by the school.

∀x (OnPayroll(x) → PaidBy(x, school))

If someone has a job at a school, then they are on the payroll.

∀x (HaveJobAt(x, school) → OnPayroll(x))

All faculty members have a job at a school.

∀x (FacultyMember(x) → HaveJobAt(x, school))

If someone teaches students, they are a faculty member or a teacher.

∀x (Teach(x, student) → FacultyMember(x) ∨ Teacher(x))

Every teacher has students.

∀x (Teacher(x) → Have(x, student))

If Nancy is a teacher, then they are on the payroll.

Teacher(nancy) → OnPayroll(nancy)

If Nancy is not a teacher, then they are not paid by the school.

¬Teacher(nancy) → ¬OnPayroll(nancy)

Nancy teaches students.

Teach(nancy, student)

Nancy is a faculty member.

FacultyMember(nancy)

Nancy is paid by the school and has students.

PaidBy(nancy, school) ∧ Have(nancy, student)

Nancy is not paid by the school or does not have students.

¬PaidBy(nancy, school) ∨ ¬Have(nancy, student))

Kangaroos are an animal.

∀x (Kangaroo(x) → Animal(x))

No Kangaroos live in Germany.

∀x (Kangaroo(x) → ¬LiveIn(x, germany))

Jane will fly to Germany if she saves enough money for the summer.

SavesFor(jane, enoughMoney, theSummer) → FlyTo(jane, germany)

If Jane flies to Germany, she will go to the Berlin Zoo.

FlyTo(jane, germany) → GoTo(jane, berlinzoo)

If someone goes to the Berlin Zoo, they will see some of the animals in Germany.

∀x ∃y (GoTo(x, berlinzoo) ∧ LiveIn(x, germany) ∧ Animal(y) → WillSee(y, x, berlinzoo))

Jane will see a kangaroo if she saves enough money for the summer.

∃x (SavesFor(jane, enoughMoney, theSummer) ∧ Kangaroo(x) → WillSee(x, jane, berlinzoo))

If a class has prerequisites, the student must take the prerequisites to take the class.

∀x ∀y ∀z (Class(x) ∧ Student(y) ∧ Prereq(z,x) ∧ ¬Take(y, z) → ¬CanTake(y, x))

If a class has no prerequisites, then the student can take the class

∀x ∀y ((Class(x) ∧ Student(y) ∧ ¬∃z Prereq(z,x)) → CanTake(y, x))

CPSC 201 and CPSC 223 are prerequisites for CPSC 323.

Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)

Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.

∀x (Prereq(x,intermediateMicro) → x=introMicroeconomics)

Intro Geology has no prerequisites.

¬(∃x (Prereq(x, introGeology)))

CPSC 201 has no prerequisites.

∀x (¬Prereq(x, cpsc201))

If a student took CPSC 201 but did not take CPSC 223, they can take CPSC 323.

Taken(cpsc201) ∧ ¬Taken(cpsc223) ∧ CanTake(cpsc323)

A student cannot take Intro Geology.

¬CanTake(introgeology)

Intermediate Microeconomics has one prerequisite.

∃x (Taken(x) → CanTake(intermediatemicro))

Heptalogyy is a compound literary or narrative work that is made up of seven distinct works.

∀x (SevenDistinctWorks(x) → Heptalogy(x))

The Harry Potter series consists of 7 distinct works.

SevenDistinctWorks(harryPotter)

The Chronicles of Narnia consists of 7 distinct works.

SevenDistinctWorks(chroniclesOfNarnia)

The Harry Potter series of books is Heptalogy.

Heptalogy(harryPotter)

The Chronicles of Narnia series of books is not Heptalogy.

¬Heptalogy(chroniclesOfNarnia)

The Lord of the Rings is Heptalogy.

Heptalogy(lordOfRings)

All people who attend Renaissance fairs regularly enjoy dressing up in old-fashioned and historical period clothing.

∀x (AttendRegularly(x, renaissanceFair) → Enjoy(x, dressingUp, oldFashionedClothing) ∧ Enjoy(x, dressingUp, historicalPeriodClothing))

If people are fascinated by the history of the Renaissance and other past eras, then they attend Renaissance fairs regularly.

∀x (FascinatedBy(x, historyOfRenaissance) → AttendRegularly(x, renaissanceFair))

People are fascinated by the history of the Renaissance and other past eras, or they are contemporary academics who enjoy learning.

∀x (FascinatedBy(x, historyOfRenaissance) ⊕ (ContemporaryAcademic(x) ∧ Enjoy(x, learning)))

People who are focused on futuristic and vocational subjects are contemporary academics who enjoy learning.

∀x (FocusedOn(x, futuristicSubject) ∧ FocusedOn(x, vocationalSubject) → ContemporaryAcademic(x) ∧ Enjoy(x, learning))

If people are professors who take a historical approach, then they are not contemporary academics who enjoy learning.

∀x (Professor(x) ∧ Take(x, historicalApproach) → ¬(ContemporaryAcademic(x) ∧ Enjoy(x, learning)))

If Clyde is not focused on futuristic and voctional subjects, then he is neither focused on futuristic and vocational subjects nor enjoys dressing up in old-fashioned and historical period clothing.

¬(FocusedOn(clyde, futuristicSubject) ∧ FocusedOn(clyde, vocationalSubject))→ ¬(FocusedOn(clyde, futuristicSubject) ∧ FocusedOn(clyde, vocationalSubject) ∨ (Enjoy(clyde, dressingUp, oldFashionedClothing) ∧ Enjoy(clyde, dressingUp, historicalPeriodClothing)))

Clyde attends Renaissance fairs regularly.

AttendRegularly(clyde, renaissanceFair)

Clyde is a professor who takes a historical approach.

Professor(clyde) ∧ Take(clyde, historicalApproach)