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Joe Rogan is a radio personality.
RadioPersonality(joeRogan)
Jason Kramer hosted a show on a public radio station.
∃x(HostShowOn(jasonKramer, x) ∧ PublicRadioStation(x))
Joe Rogan is American.
American(joeRogan)
Jason Kramer is a music supervisor.
MusicSupervisor(jasonKramer)
Jason Kramer is a radio personality.
RadioPersonality(jasonKramer)
Hermès bags are not made in Italy.
∀x ((Bag(x) ∧ Hermès(x)) → ¬MadeIn(x, italy))
All Birkin bags are Hermès bags.
∀x ((Bag(x) ∧ Birkin(x)) → Hermès(x))
All Ferraris are made in Italy.
∀x (Ferrari(x) → MadeIn(x, italy))
All cars that carry a Ferrari V12 engine are Ferraris.
∀x ((Car(x) ∧ Carry(x, ferrariV12Engine)) → Ferrrari(x))
All cars that are made in Maranello carry a Ferrari V12 engine.
∀x ((Car(x) ∧ MadeIn(x, maranello)) → Carry(x, ferrariV12Engine))
A Lamborghini SUV is not both a Ferrari and made in Maranello.
¬(Ferrari(lamborghiniSUV) ∧ MadeIn(lamborghiniSUV, maranello))
A Kelly bag is a Hermès bag, or it is a car that carries a Ferrari V12 engine.
(Bag(kelly) ∧ Hermès(kelly)) ∨ (Bag(kelly) ∧ Car(kelly) ∧ Carry(kelly, ferrariV12Engine))
A Lamborghini SUV is made in Italy.
MadeIn(lamborghiniSUV, italy)
A Lamborghini SUV is not made in Italy.
¬MadeIn(lamborghiniSUV, italy)
A Kelly bag is a Birkin bag made in Maranello.
Bag(kelly) ∧ MadeIn(kelly, maranello) ∧ Birkin(kelly)
A Kelly bag is not both made in Maranello and a Birkin bag.
Bag(kelly) ∧ ¬(MadeIn(kelly, maranello) ∧ Birkin(kelly))
If someone lives in a place named Galicia, then they live in either Spain or Poland.
∀x (∃y (LiveIn(x, y) ∧ Place(y) ∧ Named(y, galicia)) → LiveIn(x, spain) ⊕ LiveIn(x, poland))
Spain is in Europe.
∀x (LiveIn(x, spain) → LiveIn(x, europe))
Poland is in Europe.
∀x (LiveIn(x, poland) → LiveIn(x, europe))
Rochelle lives in Europe.
LiveIn(rochelle, europe)
Dominique does not live in Europe.
¬LiveIn(dominique, europe)
Alfonso lives in a place named Galicia.
∃y (LiveIn(alfonso, y) ∧ Place(y) ∧ Named(y, galicia))
Rochelle lives in a place namedGalicia.
∃y (LiveIn(rochelle, y) ∧ Place(y) ∧ Named(y, galicia))
Dominique does not live in Spain.
∀x (Live(dominique, x) → ¬In(x, spain))
Alfonso lives in Europe.
∀x (Live(alfonso, x) → In(x, europe))
Ralph Hammerthaler was born in Wasserburg am Inn.
BornIn(ralphHammerthaler, wasserburgamInn)
Wasserburg am Inn is in Germany.
LocatedIn(wasserbAmInn, germany)
Germany is in Europe.
LocatedIn(germany, europe)
Ralph Hammerthaler is a German writer.
Writer(ralphHammerthaler) ∧ German(ralphHammerthaler)
Ralph Hammerthaler was born in 1965.
BornIn1965(ralphHammerthaler)
Ralph Hammerthaler is a writer born in Asia.
Writer(ralphHammerthaler) ∧ BornIn(ralphHammerthaler, asia)
Ralph Hammerthaler lives in Germany.
LivesIn(ralphHammerthaler, germany)
All books written by Neil Gaiman have sold more than one thousand copies.
∀x ((Book(x) ∧ WrittenBy(x, neilGaiman)) → ∃y (MoreThan(y, num1000) ∧ SoldCopies(x, y)))
Some books that have won Hugo Awards are written by Neil Gaiman.
∃x ∃y (Book(x) ∧ Win(x, hugoAward) ∧ WrittenBy(x, neilGaiman) ∧ (¬(x=y)) ∧ Book(y) ∧ Win(y, hugoAward) ∧ WrittenBy(y, neilGaiman))
Tomas has read all books written by Tolkien.
∀x ((Book(x) ∧ WrittenBy(x, tolkien)) → ReadBy(x, tomas))
Either Tomas has read Hamlet, or it has sold more than one thousand copies.
ReadBy(hamlet, tomas) ⊕ (∃y (MoreThan(y, num1000) ∧ SoldCopies(hamlet, y)))
Hamlet has either sold more than one thousand copies or it is written by Neil Gaiman.
∃y (MoreThan(y, num1000) ∧ SoldCopies(hamlet, y)) ⊕ WrittenBy(hamlet, neilGaiman)
Hamlet has won a Hugo Award.
Win(hamlet, hugoAward)
Hamlet has won a Hugo Award and is written by Tolkien.
Win(hamlet, hugoAward) ∧ WrittenBy(hamlet, tolkien)
If Hamlet has either won a Hugo Award and is written by Tolkien, or neither has won a Hugo Award nor is written by Tolkien, then Hamlet has neither won a Hugo Award nor is written by Neil Gaiman.
¬(Win(hamlet, hugoAward) ⊕ WrittenBy(hamlet, tolkien)) → (¬Win(hamlet, hugoAward) ∧ (¬WrittenBy(hamlet, neilGaiman)))
Grass is not food
∀x (Grass(x) → ¬Food(x))
All meadows are grass.
∀x (Meadow(x) → Grass(x))
All edible things are food.
∀x (Edible(x) → Food(x))
All fruits are edible.
∀x (Fruit(x) → Edible(x))
All lemons are fruit.
∀x (Lemon(x) → Fruit(x))
Grapes are not both edible and lemons.
¬(Edible(grape) ∧ Lemon(grape))
Bananas are grasses or fruits.
Grass(banana) ∨ Fruit(banana)
Grapes are food.
Food(grape)
Grapes are not a food.
¬Food(grape)
Bananas are both lemons and meadows.
Lemon(banana) ∧ Meadow(banana)
Bananas are not both a lemon and a meadow.
¬(Lemon(banana) ∧ Meadow(banana))
The Golden State Warriors are a team from San Francisco.
Team(goldenStateWarriors) ∧ From(goldenStateWarriors, sanFrancisco)
The Golden State Warriors won the NBA finals.
Won(goldenStateWarriors, nbaFinals)
All teams attending the NBA finals have won many games.
∀x ((Team(x) ∧ Attending(x, nbaFinals)) → WonManyGames(x))
Boston Celtics are a team that lost the NBA finals.
Team(bostonCeltics) ∧ Lost(bostonCeltics, nbaFinals)
If a team wins the NBA finals, then they will have more income.
∀x ((Team(x) ∧ Won(x, nbaFinals)) → MoreIncome(x))
If a team wins or loses at the NBA finals, then they are attending the finals.
∀x ((Won(x, nbaFinals) ∨ Lost(x, nbaFinals)) → Attending(x, nbaFinals))
The Boston Celtics are from San Francisco.
From(bostonCeltics, sanFrancisco)
The Boston Celtics have more than 30 years of experience.
HasMoreThanThirtyYearsOfHistory(bostonCeltics)
The Golden State Warriors will have more income from gate receipts.
MoreIncome(goldenStateWarriors)
Maya would only play the violin if her fingers could never be injured.
Play(maya, violin) → ¬CanInjure(maya, fingers)
Volleyball players can injure their ankles, fingers, or shoulder.
∀x (VolleyballPlayer(x) → (CanInjure(ankles) ∧ CanInjure(fingers) ∧ CanInjure(shoulder)))
Maya is a volleyball player.
VolleyballPlayer(maya)
Maya will not play the violin.
¬Play(maya, violin)
All devices with the company logo belong to the company.
∀x ((Devices(x) ∧ With(x, companyLogo)) → BelongTo(x, company))
Each device either has the company logo or belongs to employees.
∀x ((Devices(x) → (With(x, companyLogo) ⊕ BelongTo(x, employee)))
All of the devices belonging to employees can be connected to the company's wifi.
∀x ((Devices(x) ∧ BelongTo(x, employee)) → CanBeConnectedTo(x, wifi))
All of the devices connected to Google Home are controlled by managers.
∀x ((Devices(x) ∧ ConnectTo(x, googleHome)) → ControlledBy(x, manager))
All of the devices that connect to the company's wifi are easy to operate.
∀x ((Devices(x) ∧ CanBeConnectedTo(x, wifi)) → EasyToOperate(x))
All of the devices that are easy to operate were produced after a new CTO is appointed.
∀x ((Devices(x) ∧ EasyToOperate(x)) → ProducedAfterNewCTOAppointed(x, company))
ModelXX was not produced after a new CTO was appointed.
Devices(modelXX) ∧ (¬ProducedAfterNewCTOAppointed(modelXX, company))
ModelXX is either produced after a new CTO was appointed or it is controlled by managers.
ProducedAfterNewCTOAppointed(modelXX, theCompany) ⊕ ControlledBy(x, manager)
ModelXX is not with the company logo, and managers do not control it.
¬With(modelXX, companyLogo) ∧ (¬ControlledBy(x, manager))
ModelXX is either with the company logo or controlled by managers.
With(modelXX, companyLogo) ⊕ ControlledBy(x, manager)
All CD players are delicate mechanisms.
∀x (CDPlayer(x) → DelicateMechanism(x))
No delicate mechanisms are suitable toys for children.
∀x (DelicateMechanism(x) → ¬(Toy(x) ∧ SuitableFor(x, children)))
Some CD players are suitable toys for children.
∃x ∃y (CDPlayer(x) ∧ CDPlayer(y) ∧ Toy(x) ∧ Toy(y) ∧ SuitableFor(x, children) ∧ SuitableFor(y, children) ∧ ¬(x=y))
All mammals are living beings.
∀x (Mammal(x) → LivingBeing(x))
All elephants are mammals.
∀x (Elephant(x) → Mammal(x))
All baby elephants are elephants.
∀x (BabyElephant(x) → Elephant(x))
Some baby elephants are sleepy.
∃x (BabyElephant(x) ∧ Sleepy(x))
If Jumbo is a living being, then Jumbo is not both an elephant and a mammal.
LivingBeing(jumbo) → ¬(Elephant(jumbo) ∧ Mammal(jumbo))
If Jumbo is sleepy, then Jumbo is either a baby elephant or a mammal.
Sleepy(jumbo) → BabyElephant(jumbo) ⊕ Mammal(jumbo)
Jumbo is sleepy.
Sleepy(jumbo)
Jumbo is not sleepy.
¬Sleepy(jumbo)
Jumbo is a living being.
LivingBeing(jumbo)
Jumbo is neither sleepy nor a baby elephant.
¬Sleepy(jumbo) ∧ ¬BabyElephant(jumbo))
Jumbo is not sleepy or an elephant.
¬(Sleepy(jumbo) ⊕ Elephant(jumbo))
No planet in the solar system relies on nuclear fusion to generate light.
∀x (Planet(x) ∧ In(x, solarSystem) → ¬RelyOnToGenerate(x, nuclearFusion, light))
All stars in the solar system rely on nuclear fusion to generate light.
∀x (Star(x) ∧ In(x, solarSystem) → RelyOnToGenerate(x, nuclearFusion, light))
All celestial bodies in the solar systems that have greater than 0.08 solar masses are stars.
∀x (CelestialBody(x) ∧ In(x, solarSystem) ∧ GreaterThan(x, solarMass, 0point08) → Star(x))
If a celestial body in the solar system has cleared its orbit of other debris and has a nearly spherical shape due to its own gravity, then it is a planet.
∀x (CelestialBody(x) ∧ In(x, solarSystem) ∧ (∃y (OrbitOf(y, x) ∧ Clear(x, y) ∧ DebrisFree(y))) ∧ NearlySphericalShape(x, gravity) → Planet(x))
If Europa is a celestial body in the solar system that has cleared its orbit of other debris and has a nearly spherical shape due to its own gravity or relies on nuclear fusion to generate light, then Europa is a celestial body in the solar system.
(CelestialBody(europa) ∧ In(europa, solarSystem) ∧ (∃y (OrbitOf(y, x) ∧ Clear(x, y) ∧ DebrisFree(y))) ∧ NearlySphericalShape(europa, gravity)) ∨ RelyOnToGenerate(europa, nuclearFusion, light) → CelestialBody(europa) ∧ In(europa, solarSystem)
Europa is a celestial body in the solar system has cleared its orbit of other debris and has a nearly spherical shape due to its own gravity.
CelestialBody(europa) ∧ In(europa, solarSystem) ∧ (∃y (OrbitOf(y, x) ∧ Clear(x, y) ∧ DebrisFree(y))) ∧ NearlySphericalShape(europa, gravity)
Europa is a celestial body in one of the solar systems that have greater than 0.08 solar masses.
CelestialBody(europa) ∧ In(europa, solarSystem) ∧ GreaterThan(europa, solarMass, 0.08)
Europa is not a celestial body in one of the solar systems that have greater than 0.08 solar masses.
¬(CelestialBody(europa) ∧ In(europa, solarSystem) ∧ GreaterThan(europa, solarMass, 0.08))
If Max listens to music, he either listens to classical music or rap.
∀x (MaxListenTo(x) → (ClassicalMusic(x) ⊕ Rap(x)))
All the classical songs that Max listens to are from the 12th century.
∀x (MaxListenTo(x) ∧ ClassicalMusic(x) → Song(x) ∧ From(x, 12thCentury))
If Max is listening to a rap song, then the song is by Kanye West.
∀x (MaxListenTo(x) ∧ Rap(x) → Song(x) ∧ By(x, kanyeWest))
All songs by Kanye West are full of lyrics.
∀x (Song(x) ∧ By(x, kanyeWest) → Song(x) ∧ FullOfLyrics(x))