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Everyone who attends the conference in person is provided with souvenirs. | ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) |
Everyone invited to join the club is provided with delicious meals. | ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) |
Everyone provided with delicious meals is happy to communicate with each other during the dinner. | ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) |
Everyone who is provided with delicious meals is invited to take a photo with the audience. | ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) |
It is not true that James both attended the conference in person and was provided with souvenirs. | ¬(AttendInPerson(james, conference) ∧ ProvidedWith(x, souvenir)) |
James is provided with souvenirs. | ProvidedWith(james, souvenir) |
James is not provided with souvenirs. | ¬ProvidedWith(x, souvenir) |
James is invited to take a photo with the audience and is happy to communicate with other guests at the dinner. | InvitedToTakePhotoWith(james, audience) → ∃y ∃z (¬(y=james) ∧ ¬(z=james) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(james, y) ∧ HappyToCommunicateWithDuringDinner(james, z))) |
James is invited to take a photo with the audience or is happy to communicate with other guests(?) during the dinner. | InvitedToTakePhotoWith(james, audience) → ∃y ∃z (¬(y=james) ∧ ¬(z=james) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(james, y) ∧ HappyToCommunicateWithDuringDinner(james, z))) |
James is either invited to take a photo with the audience or happy to communicate with other guests(?) during the dinner. | InvitedToTakePhotoWith(james, audience) → ∃y ∃z (¬(y=james) ∧ ¬(z=james) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(james, y) ∧ HappyToCommunicateWithDuringDinner(james, z))) |
The USS Salem is a heavy cruiser built for the United States Navy. | HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) |
The last heavy cruiser to enter service was the USS Salem. | LastHeavyCruiserToEnterService(usssalem) |
The USS Salem is a museum ship. | MuseumShip(usssalem) |
Museum ships are open to the public. | ∀x (MuseumShip(x) → OpenToPublic(x)) |
The USS Salem served in the Atlantic and Mediterranean. | ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean) |
The USS Salem is open to the public. | OpenToPublic(usssalem) |
There is a museum ship open to the public that served in the Mediterranean. | ∃x (MuseumShip(x) ∧ OpenToPublic(x) ∧ ServedIn(x, mediterranean)) |
The USS Salem was not the last heavy cruiser to enter service. | ¬LastHeavyCruiserToEnterService(usssalem) |
TS Leda was a good passenger and cargo vessel. | ∀x (TSLeda(x) → ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x))) |
TS Leda was a Norwegian vessel that was built with stabilizers. | ∀x (TSLeda(x) → (Norweigian(x) ∧ Vessel(x) ∧ Stabilizers(x))) |
Stabilizers are mechanical devices found only on ships with powerful steam turbine engines. | ∀x (Stabilizers(x) → MechanicalDevice(x) ∧ OnlyOnShips(x) ∧ PowerfulSteamTurbine(x)) |
To be a good passenger and cargo vessel, ships must be quiet and good at sea. | ∀x ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x)) → (Quiet(x) ∧ GoodAt(x, sea))) |
Some ships that are quiet and good at sea have powerful steam turbine engines. | ∃x (Quiet(x) ∧ GoodAt(x, sea) ∧ PowerfulSteamTurbine(x)) |
Vessels are ships. | ∀x (Ship(x) → Vessel(x)) |
TS Leda was quiet and good at sea. | ∀x (TSLeda(x) → Quiet(x) ∧ GoodAt(x, sea)) |
TS Leda had powerful steam turbine engines. | ∀x (TSLeda(x) → PowerfulSteamTurbine(x)) |
TS Leda was not a Norwegian vessel. | ∀x (TSLeda(x) → ¬(Norweigian(x) ∧ Vessel(x))) |
Rosa was born in Santiago. | BornIn(rosa, santiago) |
Santiago is the capital and largest city of Chile. | CapitalOf(santiago, chile) ∧ LargestCityOf(santiago, chile) |
Rosa is the daughter of a Catalan building contractor, Jose. | DaughterOf(rosa, jose) ∧ BuildingContractor(jose) ∧ Catalan(jose) |
Jose has a Chilean wife, Carmen. | WifeOf(jose, carmen) ∧ Chilean(carmen) |
Carmen and Jose are Rosa's parents. | ParentOf(jose, rosa) ∧ ParentOf(carmen, rosa) |
People from Catalan are not from Chile. | ∀x (Catalan(x) → ¬Chilean(x)) |
A building contractor is responsible for the day-to-day oversight of a construction site. | ∀x ∃y (BuildingContractor(x) → ConstructionSite(y) ∧ Oversee(x, y)) |
Rosa was born in the largest city of Chile. | ∃x (BornIn(rosa, x) ∧ LargestCityOf(x, chile)) |
Neither of Rosa's parents is Chilean. | ¬Chilean(jose) ∧ ¬Chilean(carmen) |
Rosa is the daughter of someone who is responsible for the oversight of traffic. | ∃x (DaughterOf(rosa, x) ∧ Oversee(x, traffic)) |
Tyga is a rapper. | IsRapper(tyga) |
Rappers release rap albums. | ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) |
Tyga released the Well Done 3 album. | ReleasedAlbum(tyga, wellDone3) |
Rappers are not opera singers. | ∀x (IsRapper(x) → ¬IsOperaSinger(x)) |
Well Done 3 is a rap album. | IsRapAlbum(wellDone3) |
Tyga is an opera singer. | IsOperaSinger(tyga) |
Well Done 3 is worth listening to. | IsWorthListening(wellDone3) |
Deborah Wallace is a Scottish-born actress, playwright, and producer. | BornIn(deborahWallace, scotland) ∧ Actress(deborahWallace) ∧ Playwright(deborahWallace) ∧ Producer(deborahWallace) |
Psyche is a play based on the life of James Miranda Barry. | Play(psyche) ∧ BasedOn(psyche, lifeOfJamesMirandaBarry) |
Homesick, Psyche and The Void are plays by Deborah Wallace. | Play(homesick) ∧ WrittenBy(homesick, deborahWallace) ∧ Play(psyche) ∧ WrittenBy(psyche, deborahWallace) ∧ Play(theVoid) ∧ WrittenBy(theVoid, deborahWallace) |
Deborah Wallace co-produced Gasland. | CoProduce(deborahWallace, gasland) |
Gasland was coproduced by the same person Homesick was from. | ∃x (CoProduces(x, gasland) ∧ WrittenBy(homesick, x)) |
No plays by Deborah Wallace are based on the life of James Miranda Barry. | ∀x (Play(x) ∧ WrittenBy(x, deborahwallace) → ¬BasedOn(x, lifeofjamesmirandabarry)) |
Gasland is a play. | Play(gasland) |
Animals who need large territory travel far. | ∀x (Animal(x) ∧ Need(x, largeTerritory) → TravelFar(x)) |
Every animal that eats a lot needs a large territory. | ∀x (EatALot(x) → Need(x, largeTerritory)) |
If something is a big animal, then it will eat a lot. | ∀x (Big(x) ∧ Animal(x) → EatALot(x)) |
Bears are big animals. | ∀x (Bear(x) → Big(x) ∧ Animal(x)) |
Larry is a big animal. | Big(larry) ∧ Animal(larry) |
Larry is a bear. | Bear(larry) |
Larry is not a bear and does not travel far. | ¬Bear(larry) ∧ ¬TravelFar(larry) |
If Larry either travels far or needs a large territory, then Larry is a bear. | TravelFar(larry) ⊕ Need(larry, largeTerritory) → Bear(larry) |
Any convicted criminal that is innocent is not truly guilty. | ∀x (ConvictedCriminal(x) ∧ Innocent(x) → ¬TrulyGuilty(x)) |
All convicted criminals who did not commit a crime are truly innocent. | ∀x (ConvictedCriminal(x) ∧ ¬CommitCrime(x) → Innocent(x)) |
All convicted criminals are truly guilty or found guilty. | ∀x (ConvictedCriminal(x) ∧ (TrulyGuilty(x) ∨ FoundGuilty(x))) |
If a convicted criminal is found guilty, then they are sentenced to a punishment. | ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → SentencedToPunishment(x)) |
If a convicted criminal is found guilty, then they can argue against their punishment. | ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → CanArgueAgainst(x, punishment)) |
Garry is a convicted criminal who not found guilty or is sentenced to punishment. | ConvictedCriminal(garry) ∧ (¬(FoundGuilty(garry) ∨ SentencedToPunishment(garry))) |
Garry is sentenced to a punishment. | SentencedToPunishment(garry) |
Garry did not commit a crime and can argue against his punishment. | ¬CommitCrime(garry) ∧ CanArgueAgainst(garry, punishment) |
Garry is not both innocent and someone who did not commit a crime. | ¬(Innocent(garry) ∧ ¬CommitCrime(garry)) |
Phoneix's music is classified under the indie pop genre. | IndiePop(phoenix) |
Phoenix is a band from France. | Band(phoenix) ∧ From(phoenix, france) |
French bands write songs in French or in English. | ∀x ∃y (Band(x) ∧ From(x, france) ∧ Write(x, y) ∧ Song(y) → InFrench(y) ⊕ InEnglish(y)) |
Aside from indie pop, pop rock and synth-pop are two other genres of music. | ∀x (IndiePop(x) → ¬PopRock(x) ∧ ¬SynthPop(x)) |
Phoenix has no songs in French. | ∀x (Song(x) ∧ By(phoenix, x) → ¬InFrench(x)) |
Phoneix's music is classified under the pop rock genre. | PopRock(phoenix) |
Phoenix writes songs in French. | ∃x (Write(phoenix, y) ∧ Song(x) → InFrench(x)) |