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No sandwich cookies are healthy. Oreos are sandwich cookies.

∀x (SandwichCookie(x) → ¬Healthy(x)) ∀x (Oreo(x) → SandwichCookie(x))

All sandwich cookies are delicious.

∀x (SandwichCookie(x) → Delicious(x))

Uncertain

No animals are plants. All humans are animals. All pupils are humans. All flowers are plants. Bailey is either both a human and a flower or neither a human nor a flower.

∀x (Animal(x) → ¬Plant(x)) ∀x (Human(x) → Animal(x)) ∀x (Pupil(x) → Human(x)) ∀x (Flower(x) → Plant(x)) ¬(Human(bailey) ⊕ Flower(bailey))

Bailey is a pupil.

Pupil(bailey)

False

No animals are plants. All humans are animals. All pupils are humans. All flowers are plants. Bailey is either both a human and a flower or neither a human nor a flower.

∀x (Animal(x) → ¬Plant(x)) ∀x (Human(x) → Animal(x)) ∀x (Pupil(x) → Human(x)) ∀x (Flower(x) → Plant(x)) ¬(Human(bailey) ⊕ Flower(bailey))

Bailey is not a pupil.

¬Pupil(bailey)

True

No animals are plants. All humans are animals. All pupils are humans. All flowers are plants. Bailey is either both a human and a flower or neither a human nor a flower.

∀x (Animal(x) → ¬Plant(x)) ∀x (Human(x) → Animal(x)) ∀x (Pupil(x) → Human(x)) ∀x (Flower(x) → Plant(x)) ¬(Human(bailey) ⊕ Flower(bailey))

Bailey is a plant.

Plant(bailey)

Uncertain

No animals are plants. All humans are animals. All pupils are humans. All flowers are plants. Bailey is either both a human and a flower or neither a human nor a flower.

∀x (Animal(x) → ¬Plant(x)) ∀x (Human(x) → Animal(x)) ∀x (Pupil(x) → Human(x)) ∀x (Flower(x) → Plant(x)) ¬(Human(bailey) ⊕ Flower(bailey))

If Bailey is a human, then Bailey is not a pupil.

Human(bailey) → ¬Pupil(bailey)

True

Shoes are not food. All slippers are shoes. Any object donated to the homeless charity is either clothes or food. Wearable things are not edible. All clothes are wearable. The watch is donated to the homeless charify. If the watch is not both edible and a piece of clothing, then the watch is either both edible and a piece of clothing or the watch is neither of them.

∀x (Shoe(x) → ¬Food(x)) ∀x (Slipper(x) → Shoe(x)) ∀x (DonatedTo(x, homelessCharity) → Food(x) ⊕ Clothes(x)) ∀x (Wearable(x) → ¬Edible(x)) ∀x (Clothes(x) → Wearable(x)) DonatedTo(watch, homelessCharify) ¬(Edible(watch) ∧ Clothes(watch)) → ¬(Edible(watch) ⊕ Clothes(watch))

A watch is wearable.

Wearable(watch)

Uncertain

Shoes are not food. All slippers are shoes. Any object donated to the homeless charity is either clothes or food. Wearable things are not edible. All clothes are wearable. The watch is donated to the homeless charify. If the watch is not both edible and a piece of clothing, then the watch is either both edible and a piece of clothing or the watch is neither of them.

∀x (Shoe(x) → ¬Food(x)) ∀x (Slipper(x) → Shoe(x)) ∀x (DonatedTo(x, homelessCharity) → Food(x) ⊕ Clothes(x)) ∀x (Wearable(x) → ¬Edible(x)) ∀x (Clothes(x) → Wearable(x)) DonatedTo(watch, homelessCharify) ¬(Edible(watch) ∧ Clothes(watch)) → ¬(Edible(watch) ⊕ Clothes(watch))

A watch is a slipper.

Slipper(watch)

False

Shoes are not food. All slippers are shoes. Any object donated to the homeless charity is either clothes or food. Wearable things are not edible. All clothes are wearable. The watch is donated to the homeless charify. If the watch is not both edible and a piece of clothing, then the watch is either both edible and a piece of clothing or the watch is neither of them.

∀x (Shoe(x) → ¬Food(x)) ∀x (Slipper(x) → Shoe(x)) ∀x (DonatedTo(x, homelessCharity) → Food(x) ⊕ Clothes(x)) ∀x (Wearable(x) → ¬Edible(x)) ∀x (Clothes(x) → Wearable(x)) DonatedTo(watch, homelessCharify) ¬(Edible(watch) ∧ Clothes(watch)) → ¬(Edible(watch) ⊕ Clothes(watch))

A watch is neither edible nor a slipper.

¬Edible(watch) ∧ ¬Slipper(watch)

True

An Olympian is a person who trains for an Olympic sport and goes to the Olympics. Carlos Reyes trains for an Olympic sport. Carlos Reyes went to the Olympics. Carlos Reyes is a welterweight. Heavy weights are not welterweights.

∀x ((DoesOlympicSport(x) ∧ GoesToOlympicGames(x)) → Olympian(x)) DoesOlympicSport(carlosReyes) GoesToOlympicGames(carlosReyes) WelterWeight(carlosReyes) ∀x (WelterWeight(x) → ¬ HeavyWeight(x))

Carlos Reyes is an Olympian.

Olympian(carlosReyes)

True

An Olympian is a person who trains for an Olympic sport and goes to the Olympics. Carlos Reyes trains for an Olympic sport. Carlos Reyes went to the Olympics. Carlos Reyes is a welterweight. Heavy weights are not welterweights.

∀x ((DoesOlympicSport(x) ∧ GoesToOlympicGames(x)) → Olympian(x)) DoesOlympicSport(carlosReyes) GoesToOlympicGames(carlosReyes) WelterWeight(carlosReyes) ∀x (WelterWeight(x) → ¬ HeavyWeight(x))

Carlos Reyes is a heavy weight.

HeavyWeight(carlosReyes)

False

An Olympian is a person who trains for an Olympic sport and goes to the Olympics. Carlos Reyes trains for an Olympic sport. Carlos Reyes went to the Olympics. Carlos Reyes is a welterweight. Heavy weights are not welterweights.

∀x ((DoesOlympicSport(x) ∧ GoesToOlympicGames(x)) → Olympian(x)) DoesOlympicSport(carlosReyes) GoesToOlympicGames(carlosReyes) WelterWeight(carlosReyes) ∀x (WelterWeight(x) → ¬ HeavyWeight(x))

Carlos Reyes won an Olympic medal.

WonOlympicMedal(carlosReyes)

Uncertain

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam is a young teenage girl who attends music festival frequently

Attend(sam, festival) ∧ YoungTeenageGirl(sam)

False

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam is not a young teenage girl who attends music festival frequently

¬(Attend(sam, festival) ∧ YoungTeenageGirl(sam))

True

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam is a big fan of pop bands and singers.

BigFanOfMusic(sam)

Uncertain

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam neither has high ambitions and future career goals nor is she a young teenage girl attending music festival frequently

¬(Ambitious(sam) ∨ (Attend(sam, festival) ∧ YoungTeenageGirl(sam)))

True

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam has high ambitions and future career goals and is a young teenage girl attending music festival frequently.

Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam)

False

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

Sam has high ambitions and future career goals and is a young teenage girl attending college.

Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam)

False

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

If Sam is a young teenage girl attending college, then Sam either does not have high ambitions and future career goals or is a big fan of pop bands and singers.

Attend(sam, festival) ∧ YoungTeenageGirl(sam) → ¬(Ambitious(sam) ∨ (BigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)))

True

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

If Sam has high ambitions and future career goals and is a young teenage girl attending college, then Sam either does not have high ambitions and future career goals or is not a young teenage girl attending college.

Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam) → ¬(Ambitious(sam) ∨ (Attend(sam, festival) ∧ YoungTeenageGirl(sam)))

True

If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily. If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily. If people are big fans of pop bands and singers, then they have a lot of music decorations in their room. All young teenage girls who attend music festival frequently are big fans of pop bands and singers. If Sam has high ambitions and future career goals, then Sam is a big fan of pop bands and singers.

∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x)) ∀x (Ambitious(x) → MoveOutEasily(x)) ∀x (BigFanOfMusic(x) → MusicDecorations(x, room)) ∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x)) Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(sam)

If Sam has high ambitions and future career goals, then Sam is a young teenage girl attending college.

Ambitious(sam) → Attend(sam, festival) ∧ YoungTeenageGirl(sam)

True

Brita was a cargo ship built for Norwegians. Brita was impressed into service by Germany. Ships that have been impressed into service were seized by whoever impressed them into service. The Britta was sold to Hong Kong.

CargoShip(britta) ∧ Ship(britta) ∧ BuiltFor(britta, norwegians) ImpressedIntoServiceBy(britta, germany) ∀x ∀y (Ship(x) ∧ ImpressedIntoServiceBy(x, y) → SeizedBy(x, y)) SoldTo(britta, hongkong)

There was a cargo ship seized by Germany that was sold to Hong Kong.

∃x (CargoShip(x) ∧ SeizedBy(x, germany) ∧ SoldTo(x, hongkong))

True

Brita was a cargo ship built for Norwegians. Brita was impressed into service by Germany. Ships that have been impressed into service were seized by whoever impressed them into service. The Britta was sold to Hong Kong.

CargoShip(britta) ∧ Ship(britta) ∧ BuiltFor(britta, norwegians) ImpressedIntoServiceBy(britta, germany) ∀x ∀y (Ship(x) ∧ ImpressedIntoServiceBy(x, y) → SeizedBy(x, y)) SoldTo(britta, hongkong)

Hong Kong hasn't had any seized ships sold to them.

∀x ∀y (SoldTo(x, hongkong) → ¬SeizedBy(x, y))

False

Brita was a cargo ship built for Norwegians. Brita was impressed into service by Germany. Ships that have been impressed into service were seized by whoever impressed them into service. The Britta was sold to Hong Kong.

CargoShip(britta) ∧ Ship(britta) ∧ BuiltFor(britta, norwegians) ImpressedIntoServiceBy(britta, germany) ∀x ∀y (Ship(x) ∧ ImpressedIntoServiceBy(x, y) → SeizedBy(x, y)) SoldTo(britta, hongkong)

Hong Kong seized the Britta.

SeizedBy(britta, hongkong)

Uncertain

Quincy McDuffie is an American professional wide receiver in Canadian Football. People who can catch balls are good wide receivers. Quincy McDuffie can catch some footballs easily. Good wide receivers play professionally. Good wide receivers can catch with both their left and right hand. All footballs are balls.

American(quincyMcduffie) ∧ Professional(quincyMcduffie) ∧ WideReciever(quincyMcduffie) ∧ PlaysIn(quincyMcduffie, cFL) ∀x ((∃y(CanCatch(x, y) ∧ Ball(y))) → GoodWideReceiver(x)) ∃x ∃y (Football(x) ∧ CanCatch(quincymcduffie, x)) ∧ (¬(x=y) ∧ (Football(y) ∧ CanCatch(quincymcduffie, y)) ∀x (GoodWideReceiver(x) → Professional(x)) ∀x (GoodWideReceiver(x) → (CanCatchWith(x, lefthand) ∧ CanCatchWith(x, righthand))) ∀x (Football(x) → Ball(x))

Quincy McDuffie is a good wide receiver.

GoodWideReceiver(quincyMcduffie)

True

Quincy McDuffie is an American professional wide receiver in Canadian Football. People who can catch balls are good wide receivers. Quincy McDuffie can catch some footballs easily. Good wide receivers play professionally. Good wide receivers can catch with both their left and right hand. All footballs are balls.

American(quincyMcduffie) ∧ Professional(quincyMcduffie) ∧ WideReciever(quincyMcduffie) ∧ PlaysIn(quincyMcduffie, cFL) ∀x ((∃y(CanCatch(x, y) ∧ Ball(y))) → GoodWideReceiver(x)) ∃x ∃y (Football(x) ∧ CanCatch(quincymcduffie, x)) ∧ (¬(x=y) ∧ (Football(y) ∧ CanCatch(quincymcduffie, y)) ∀x (GoodWideReceiver(x) → Professional(x)) ∀x (GoodWideReceiver(x) → (CanCatchWith(x, lefthand) ∧ CanCatchWith(x, righthand))) ∀x (Football(x) → Ball(x))

Quincy McDuffie can catch every ball.

∀x (Ball(x) → CanCatch(quincymcduffie, x))

Uncertain

Quincy McDuffie is an American professional wide receiver in Canadian Football. People who can catch balls are good wide receivers. Quincy McDuffie can catch some footballs easily. Good wide receivers play professionally. Good wide receivers can catch with both their left and right hand. All footballs are balls.

American(quincyMcduffie) ∧ Professional(quincyMcduffie) ∧ WideReciever(quincyMcduffie) ∧ PlaysIn(quincyMcduffie, cFL) ∀x ((∃y(CanCatch(x, y) ∧ Ball(y))) → GoodWideReceiver(x)) ∃x ∃y (Football(x) ∧ CanCatch(quincymcduffie, x)) ∧ (¬(x=y) ∧ (Football(y) ∧ CanCatch(quincymcduffie, y)) ∀x (GoodWideReceiver(x) → Professional(x)) ∀x (GoodWideReceiver(x) → (CanCatchWith(x, lefthand) ∧ CanCatchWith(x, righthand))) ∀x (Football(x) → Ball(x))

Professional wide receivers are good at catching balls.

∀x ((Professional(x) ∧ WideReciever(x)) → Good(x, catchingballs))

Uncertain

Boves is a railway station located in France. The preceding station of Boves is Longueau. The preceding station of Dommartin is Boves. France is a European country. Dommartin is situated on the Paris–Lille railway. Any two contiguous stations are on the same railway. Boves is served by regional TER Hauts-de-France trains. If place A is located in place B and place B is located in place C, then place A is located in place C. If place A precedes place B and place B precedes place C, then place A precedes place C.

RailwayStation(boves) ∧ In(boves, france) Precede(longueau, boves) Precede(boves, dommartin) In(france, europe) SituatedOn(dommartin, pairsLille) ∀x ∀y ∀z ((SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z)) Serve(boves, hautsDeFrance) ∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z)) ∀x ∀y ∀z ((Precede(x, y) ∧ Precede(y, z)) → Precede(x, z))

Longueau is situated on the Paris–Lille railway.

SituatedOn(longueau, pairsLille)

True

Boves is a railway station located in France. The preceding station of Boves is Longueau. The preceding station of Dommartin is Boves. France is a European country. Dommartin is situated on the Paris–Lille railway. Any two contiguous stations are on the same railway. Boves is served by regional TER Hauts-de-France trains. If place A is located in place B and place B is located in place C, then place A is located in place C. If place A precedes place B and place B precedes place C, then place A precedes place C.

RailwayStation(boves) ∧ In(boves, france) Precede(longueau, boves) Precede(boves, dommartin) In(france, europe) SituatedOn(dommartin, pairsLille) ∀x ∀y ∀z ((SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z)) Serve(boves, hautsDeFrance) ∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z)) ∀x ∀y ∀z ((Precede(x, y) ∧ Precede(y, z)) → Precede(x, z))

Boves is not in Europe.

¬In(boves, europe)

False

Boves is a railway station located in France. The preceding station of Boves is Longueau. The preceding station of Dommartin is Boves. France is a European country. Dommartin is situated on the Paris–Lille railway. Any two contiguous stations are on the same railway. Boves is served by regional TER Hauts-de-France trains. If place A is located in place B and place B is located in place C, then place A is located in place C. If place A precedes place B and place B precedes place C, then place A precedes place C.

RailwayStation(boves) ∧ In(boves, france) Precede(longueau, boves) Precede(boves, dommartin) In(france, europe) SituatedOn(dommartin, pairsLille) ∀x ∀y ∀z ((SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z)) Serve(boves, hautsDeFrance) ∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z)) ∀x ∀y ∀z ((Precede(x, y) ∧ Precede(y, z)) → Precede(x, z))

Longueau is served by regional TER Hauts-de-France trains.

Serve(longueau, hautsDeFrance)

Uncertain

Edwin Smith was a New Zealand rower from Auckland. Edwin Smith was also known as Ted Smith. Edwin Smith went to Rose Road Primary School, located in Grey Lynn. Edwin Smith was a sergeant who served with the New Zealand 24th battalion in Italy and Egypt. Broadway Sheetmetals was a business run and owned by Edwin Smith, a sheet metal worker.

From(edwinSmith, newZealand) ∧ Rower(edwinSmith) ∧ From(edwinSmith, auckland) edwinSmith=tedSmith GoTo(edwinSmith, roseRoadPrimarySchool) ∧ LocatedIn(roseRoadPrimarySchool, greyLynn) Sergeant(edwinSmith) ∧ ServeWith(edwinSmith, newZealand24thBattalion) ∧ ServeIn(edwinSmith, italy) ∧ ServeIn(edwinSmith, egypt) Buisness(broadwaySheetmetals) ∧ Run(edwinSmith, broadwaySheetmetals) ∧ Own(edwinSmith, broadwaySheetmetals) ∧ SheetmetalWorker(edwinsmith)

Ted Smith was a sergeant.

Sergeant(tedSmith)

True

Edwin Smith was a New Zealand rower from Auckland. Edwin Smith was also known as Ted Smith. Edwin Smith went to Rose Road Primary School, located in Grey Lynn. Edwin Smith was a sergeant who served with the New Zealand 24th battalion in Italy and Egypt. Broadway Sheetmetals was a business run and owned by Edwin Smith, a sheet metal worker.

From(edwinSmith, newZealand) ∧ Rower(edwinSmith) ∧ From(edwinSmith, auckland) edwinSmith=tedSmith GoTo(edwinSmith, roseRoadPrimarySchool) ∧ LocatedIn(roseRoadPrimarySchool, greyLynn) Sergeant(edwinSmith) ∧ ServeWith(edwinSmith, newZealand24thBattalion) ∧ ServeIn(edwinSmith, italy) ∧ ServeIn(edwinSmith, egypt) Buisness(broadwaySheetmetals) ∧ Run(edwinSmith, broadwaySheetmetals) ∧ Own(edwinSmith, broadwaySheetmetals) ∧ SheetmetalWorker(edwinsmith)

There were no rowers that own a buisness.

∀x ∀y (Rower(x) ∧ Buisness(y) → ¬Own(x, y))

False

Edwin Smith was a New Zealand rower from Auckland. Edwin Smith was also known as Ted Smith. Edwin Smith went to Rose Road Primary School, located in Grey Lynn. Edwin Smith was a sergeant who served with the New Zealand 24th battalion in Italy and Egypt. Broadway Sheetmetals was a business run and owned by Edwin Smith, a sheet metal worker.

From(edwinSmith, newZealand) ∧ Rower(edwinSmith) ∧ From(edwinSmith, auckland) edwinSmith=tedSmith GoTo(edwinSmith, roseRoadPrimarySchool) ∧ LocatedIn(roseRoadPrimarySchool, greyLynn) Sergeant(edwinSmith) ∧ ServeWith(edwinSmith, newZealand24thBattalion) ∧ ServeIn(edwinSmith, italy) ∧ ServeIn(edwinSmith, egypt) Buisness(broadwaySheetmetals) ∧ Run(edwinSmith, broadwaySheetmetals) ∧ Own(edwinSmith, broadwaySheetmetals) ∧ SheetmetalWorker(edwinsmith)

No sergeants were from Auckland.

∀x (Sergeant(x) → ¬From(x, auckland))

False

Edwin Smith was a New Zealand rower from Auckland. Edwin Smith was also known as Ted Smith. Edwin Smith went to Rose Road Primary School, located in Grey Lynn. Edwin Smith was a sergeant who served with the New Zealand 24th battalion in Italy and Egypt. Broadway Sheetmetals was a business run and owned by Edwin Smith, a sheet metal worker.

From(edwinSmith, newZealand) ∧ Rower(edwinSmith) ∧ From(edwinSmith, auckland) edwinSmith=tedSmith GoTo(edwinSmith, roseRoadPrimarySchool) ∧ LocatedIn(roseRoadPrimarySchool, greyLynn) Sergeant(edwinSmith) ∧ ServeWith(edwinSmith, newZealand24thBattalion) ∧ ServeIn(edwinSmith, italy) ∧ ServeIn(edwinSmith, egypt) Buisness(broadwaySheetmetals) ∧ Run(edwinSmith, broadwaySheetmetals) ∧ Own(edwinSmith, broadwaySheetmetals) ∧ SheetmetalWorker(edwinsmith)

No business owner served in Egypt.

∀x ∀y (Buisness(x) ∧ Own(y, x) → ¬ServeIn(y, egypt))

False

A werewolf is a human that can turn into a wolf. A werewolf has been scratched or bitten by another werewolf. If someone has been scratched or bitten by some entity, they have been attacked by that entity.

∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)

All humans are werewolves.

∀x (Human(x) → Werewolf(x))

Uncertain

A werewolf is a human that can turn into a wolf. A werewolf has been scratched or bitten by another werewolf. If someone has been scratched or bitten by some entity, they have been attacked by that entity.

∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)

A werewolf is a wolf.

∀x (Werewolf(x) → Wolf(x))

Uncertain

A werewolf is a human that can turn into a wolf. A werewolf has been scratched or bitten by another werewolf. If someone has been scratched or bitten by some entity, they have been attacked by that entity.

∀x (Human(x) ∧ CanTurnInto(x, wolf) → Werewolf(x)) ∀x ∃y (Werewolf(x) → (BittenBy(x, y) ∨ ScratchedBy(x, y)) ∧ Werewolf(y)) ∀x ∃y (BittenBy(x, y) ∨ ScratchedBy(x, y)) → AttackedBy(x,y)

A werewolf has scratched someone before.

∀x ∃y (Werewolf(x) → ScratchedBy(y, x))

Uncertain

UFC Fight Night was a mixed martial arts event held in Sweden. At UFC Fight Night, Sadollah was scheduled to fight Musoke. Sadollah fought Akiyama at UFC Fight Night. Musoke fought Yakovlev at UFC Fight Night. Jung was injured at UFC Fight Night. People injured at UFC Fight Night did not fight.

Event(uFCFightNight) ∧ MixedMartial(uFCFightNight) ∧ HeldIn(uFCFightNight, sweden) ScheduledToFight(sadollah, musoke,uFCFightNight) Fight(sadollah, akiyama, uFCFightNight) Fight(musoke, yakovlev, uFCFightNight) InjuredAt(jung, uFCFightNight) ∀x (InjuredAt(x, uFCFightNight) → ¬FightIn(x, uFCFightNight))

Jung fought Sadollah.

Fight(jung, sadollah, uFCFightNight)

Uncertain

UFC Fight Night was a mixed martial arts event held in Sweden. At UFC Fight Night, Sadollah was scheduled to fight Musoke. Sadollah fought Akiyama at UFC Fight Night. Musoke fought Yakovlev at UFC Fight Night. Jung was injured at UFC Fight Night. People injured at UFC Fight Night did not fight.

Event(uFCFightNight) ∧ MixedMartial(uFCFightNight) ∧ HeldIn(uFCFightNight, sweden) ScheduledToFight(sadollah, musoke,uFCFightNight) Fight(sadollah, akiyama, uFCFightNight) Fight(musoke, yakovlev, uFCFightNight) InjuredAt(jung, uFCFightNight) ∀x (InjuredAt(x, uFCFightNight) → ¬FightIn(x, uFCFightNight))

Jung did not fight at UFC Fight Night.

Event(uFCFightNight) ∧ ¬FightIn(jung, uFCFightNight)

True

UFC Fight Night was a mixed martial arts event held in Sweden. At UFC Fight Night, Sadollah was scheduled to fight Musoke. Sadollah fought Akiyama at UFC Fight Night. Musoke fought Yakovlev at UFC Fight Night. Jung was injured at UFC Fight Night. People injured at UFC Fight Night did not fight.

Event(uFCFightNight) ∧ MixedMartial(uFCFightNight) ∧ HeldIn(uFCFightNight, sweden) ScheduledToFight(sadollah, musoke,uFCFightNight) Fight(sadollah, akiyama, uFCFightNight) Fight(musoke, yakovlev, uFCFightNight) InjuredAt(jung, uFCFightNight) ∀x (InjuredAt(x, uFCFightNight) → ¬FightIn(x, uFCFightNight))

Sadollah fought Musoke at UFC Fight Night.

Fight(sadollah, musoke, uFCFightNight)

Uncertain

UFC Fight Night was a mixed martial arts event held in Sweden. At UFC Fight Night, Sadollah was scheduled to fight Musoke. Sadollah fought Akiyama at UFC Fight Night. Musoke fought Yakovlev at UFC Fight Night. Jung was injured at UFC Fight Night. People injured at UFC Fight Night did not fight.

Event(uFCFightNight) ∧ MixedMartial(uFCFightNight) ∧ HeldIn(uFCFightNight, sweden) ScheduledToFight(sadollah, musoke,uFCFightNight) Fight(sadollah, akiyama, uFCFightNight) Fight(musoke, yakovlev, uFCFightNight) InjuredAt(jung, uFCFightNight) ∀x (InjuredAt(x, uFCFightNight) → ¬FightIn(x, uFCFightNight))

Nelson fought Story at UFC Fight Night.

Fight(nelson, story, uFCFightNight)

Uncertain

All drinks on the counter are edible. All juices on the counter are drinks. Orange juice is a type of juice. Everything on the counter is either orange juice or apple juice. All apple juices on the counter are sweet. The coke is on the counter and if the coke is apple juice, then the coke is a drink. If the coke is not apple juice, then the coke is not edible.

∀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)

The coke is orange juice.

OrangeJuice(coke)

Uncertain

All drinks on the counter are edible. All juices on the counter are drinks. Orange juice is a type of juice. Everything on the counter is either orange juice or apple juice. All apple juices on the counter are sweet. The coke is on the counter and if the coke is apple juice, then the coke is a drink. If the coke is not apple juice, then the coke is not edible.

∀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)

The coke is edible and sweet.

Edible(coke) ∧ Sweet(coke)

True

All drinks on the counter are edible. All juices on the counter are drinks. Orange juice is a type of juice. Everything on the counter is either orange juice or apple juice. All apple juices on the counter are sweet. The coke is on the counter and if the coke is apple juice, then the coke is a drink. If the coke is not apple juice, then the coke is not edible.

∀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)

The coke is not edible and sweet.

¬(Edible(coke) ∧ Sweet(coke))

False

Federico Garcia Lorca was a talented Spanish poet, and he supported the Popular Front. The Spanish Nationalists opposed anyone who supported the Popular Front Talented poets are popular. Spanish Nationalists killed anyone who they opposed and who was popular. Daniel supported the Popular Front but was not popular.

TalentedPoet(lorca) ∧ Support(lorca, populists) ∀x (Support(x, populists) → Opposed(nationalists, x)) ∀x (TalentedPoet(x) → Popular(x)) ∀x ((Opposed(nationalists, x) ∧ Popular(x)) → Killed(nationalists, x)) Support(daniel, populists) ∧ (¬Popular(daniel))

The Spanish Nationalists killed Daniel.

¬Killed(nationalists, daniel)

Uncertain

Federico Garcia Lorca was a talented Spanish poet, and he supported the Popular Front. The Spanish Nationalists opposed anyone who supported the Popular Front Talented poets are popular. Spanish Nationalists killed anyone who they opposed and who was popular. Daniel supported the Popular Front but was not popular.

TalentedPoet(lorca) ∧ Support(lorca, populists) ∀x (Support(x, populists) → Opposed(nationalists, x)) ∀x (TalentedPoet(x) → Popular(x)) ∀x ((Opposed(nationalists, x) ∧ Popular(x)) → Killed(nationalists, x)) Support(daniel, populists) ∧ (¬Popular(daniel))

The Spanish Nationalists killed Lorca.

Killed(nationalists, lorca)

True

People in Franny's family drink kombucha every day or drink Coca-Cola or a Pepsi product. If people in Franny's family drink Coca-Cola or a Pepsi product every day, then they grew up with extremely busy parents who did not have time to pack them lunch. If people in Franny's family drink Coca-Cola or another Pepsi product every day, then they have to visit the dentist frequently. If people in Franny's family grew up with extremely busy parents who did not have time to pack them lunch, then they have erratic and diverse eating habits. If people in Franny's family have erratic and diverse eating habits, then they do not have consistent everyday routines and like sticking to a solid schedule. Damon is in Franny's family. Damon either both grow up with extremely busy parents who did not have time to pack her lunch and have consistent everyday routines and like sticking to a solid schedule, or Damon did neither.

∀x (In(x, frannysFamily) ∧ (Drink(x, kombucha) ∨ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))))) ∀x (In(x, frannysFamily) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z)))) ∀x (In(x, frannysFamily)) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → HaveToVisitFrequently(x, dentist)) ∀x (In(x, frannysFamily) ∧ (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z))) → ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) ∀x (In(x, frannysFamily) ∧ ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) → ¬(ConsistentEverydayRoutine(x) ∧ StickTo(damon, solidSchedule))) In(damon, frannysFamily) ¬((∃y ∃z(¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(damon, y) ∧ GrowUpWith(damon, z))) ⊕ (ConsistentEverydayRoutine(damon) ∧ StickTo(damon, solidSchedule)))

Damon is in Franny's family and he has to visit the dentist frequently.

HaveToVisitFrequently(damon, dentist)

Uncertain

People in Franny's family drink kombucha every day or drink Coca-Cola or a Pepsi product. If people in Franny's family drink Coca-Cola or a Pepsi product every day, then they grew up with extremely busy parents who did not have time to pack them lunch. If people in Franny's family drink Coca-Cola or another Pepsi product every day, then they have to visit the dentist frequently. If people in Franny's family grew up with extremely busy parents who did not have time to pack them lunch, then they have erratic and diverse eating habits. If people in Franny's family have erratic and diverse eating habits, then they do not have consistent everyday routines and like sticking to a solid schedule. Damon is in Franny's family. Damon either both grow up with extremely busy parents who did not have time to pack her lunch and have consistent everyday routines and like sticking to a solid schedule, or Damon did neither.

∀x (In(x, frannysFamily) ∧ (Drink(x, kombucha) ∨ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))))) ∀x (In(x, frannysFamily) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z)))) ∀x (In(x, frannysFamily)) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → HaveToVisitFrequently(x, dentist)) ∀x (In(x, frannysFamily) ∧ (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z))) → ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) ∀x (In(x, frannysFamily) ∧ ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) → ¬(ConsistentEverydayRoutine(x) ∧ StickTo(damon, solidSchedule))) In(damon, frannysFamily) ¬((∃y ∃z(¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(damon, y) ∧ GrowUpWith(damon, z))) ⊕ (ConsistentEverydayRoutine(damon) ∧ StickTo(damon, solidSchedule)))

If Damon is in Franny's family and he either both grew up with extremely busy parents who did not have time to pack his lunch and drink kombucha every day or neither grew up with extremely busy parents who did not have time to pack his lunch nor drink kombucha every day, then Damon neither visits the dentist frequently nor drinks Coca Cola or Pepsi products.

¬((¬(y=z) ∧ ∃y ∃z (BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(damon, y) ∧ GrowUpWith(damon, z))) ⊕ Drink(damon, kombucha)) → ¬(HaveToVisitFrequently(damon, dentist) ∨ (∃y (Have(damon, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))))

True

People in Franny's family drink kombucha every day or drink Coca-Cola or a Pepsi product. If people in Franny's family drink Coca-Cola or a Pepsi product every day, then they grew up with extremely busy parents who did not have time to pack them lunch. If people in Franny's family drink Coca-Cola or another Pepsi product every day, then they have to visit the dentist frequently. If people in Franny's family grew up with extremely busy parents who did not have time to pack them lunch, then they have erratic and diverse eating habits. If people in Franny's family have erratic and diverse eating habits, then they do not have consistent everyday routines and like sticking to a solid schedule. Damon is in Franny's family. Damon either both grow up with extremely busy parents who did not have time to pack her lunch and have consistent everyday routines and like sticking to a solid schedule, or Damon did neither.

∀x (In(x, frannysFamily) ∧ (Drink(x, kombucha) ∨ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))))) ∀x (In(x, frannysFamily) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z)))) ∀x (In(x, frannysFamily)) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → HaveToVisitFrequently(x, dentist)) ∀x (In(x, frannysFamily) ∧ (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z))) → ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) ∀x (In(x, frannysFamily) ∧ ∃y (Have(x, y) ∧ Erratic(y) ∧ Diverse(y) ∧ EatingHabit(y))) → ¬(ConsistentEverydayRoutine(x) ∧ StickTo(damon, solidSchedule))) In(damon, frannysFamily) ¬((∃y ∃z(¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(damon, y) ∧ GrowUpWith(damon, z))) ⊕ (ConsistentEverydayRoutine(damon) ∧ StickTo(damon, solidSchedule)))

If Damon is in Franny's family and he either visits the dentist frequently or drinks kombucha, then Damon both visits the dentist frequently and drinks Coca-Cola or Pepsi products every day.

HaveToVisitFrequently(damon, dentist) ∨ Drink(damon, kombucha, everyDay) → HaveToVisitFrequently(damon, dentist) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y))))

False

If a customer subscribes to AMC A-List, then he/she can watch 3 movies every week without any additional fees. Some customers go to cinemas every week. Customers who prefer TV series will not watch TV series in cinemas. James watches TV series in cinemas. James subscribes to AMC A-List. Peter prefers TV series.

∀x (SubscribedTo(x, aMCAList) → EligibleForThreeFreeMovies(x)) ∃x (CinemaEveryWeek(x)) ∀x (Prefer(x, tVSeries) → ¬WatchTVIn(x, cinemas)) WatchTVIn(james, cinemas) SubscribedTo(james, aMCAList) Prefer(peter, tVSeries)

James cannot watch 3 movies every week without any additional fees.

¬EligibleForThreeFreeMovies(james)

False

If a customer subscribes to AMC A-List, then he/she can watch 3 movies every week without any additional fees. Some customers go to cinemas every week. Customers who prefer TV series will not watch TV series in cinemas. James watches TV series in cinemas. James subscribes to AMC A-List. Peter prefers TV series.

∀x (SubscribedTo(x, aMCAList) → EligibleForThreeFreeMovies(x)) ∃x (CinemaEveryWeek(x)) ∀x (Prefer(x, tVSeries) → ¬WatchTVIn(x, cinemas)) WatchTVIn(james, cinemas) SubscribedTo(james, aMCAList) Prefer(peter, tVSeries)

James goes to cinemas every week.

CinemaEveryWeek(james)

Uncertain

If a customer subscribes to AMC A-List, then he/she can watch 3 movies every week without any additional fees. Some customers go to cinemas every week. Customers who prefer TV series will not watch TV series in cinemas. James watches TV series in cinemas. James subscribes to AMC A-List. Peter prefers TV series.

∀x (SubscribedTo(x, aMCAList) → EligibleForThreeFreeMovies(x)) ∃x (CinemaEveryWeek(x)) ∀x (Prefer(x, tVSeries) → ¬WatchTVIn(x, cinemas)) WatchTVIn(james, cinemas) SubscribedTo(james, aMCAList) Prefer(peter, tVSeries)

Peter will not watch TV series in cinemas.

¬WatchTVIn(peter, cinemas)

True

Bulbophyllum attenuatum is in the genus Bulbophyllum. All Bulbophyllum are orchids.

GenusBulbophyllum(bulbophyllumAttenuatum) ∀x (GenusBulbophyllum(x) → Orchid(x))

Bulbophyllum attenuatum is not an orchid.

¬Orchid(bulbophyllumAttenuatum)

False

There are eight federal districts of Russia: Central, Northwestern, Southern, North Caucasian, Volga, Ural, Siberian, and Far Eastern. The Central federal district has the largest population among all federal districts in Russia. Moscow is the administrative center of the Central federal district. Yekaterinburg is the administrative center of the Ural federal district. Vladivostok is the administrative center of the Far Eastern federal district. The Far Eastern federal district has the largest area among all federal districts in Russia. Some federal districts in Russia were established in 2000.

FederalDistrictOf(central, russia) ∧ FederalDistrictOf(northwestern, russia) ∧ FederalDistrictOf(southern, russia) ∧ FederalDistrictOf(northcaucasian, russia) ∧ FederalDistrictOf(volga, russia) ∧ FederalDistrictOf(ural, russia) ∧ FederalDistrictOf(siberian, russia) ∧ FederalDistrictOf(fareastern, russia) LargestPopulation(central) AdministrativeCenterOf(moscow, central) AdministrativeCenterOf(yekaterinburg, ural) AdministrativeCenterOf(vladivostok, farEastern) LargestArea(farEastern) ∃x (FederalDistrictOf(x, russia) ∧ EstablishedIn(x, 2000))

Vladivostok is the administrative center of the federal district with the largest area.

∃x (AdministrativeCenterOf(vladivostok, x) ∧ LargestArea(x))

True

There are eight federal districts of Russia: Central, Northwestern, Southern, North Caucasian, Volga, Ural, Siberian, and Far Eastern. The Central federal district has the largest population among all federal districts in Russia. Moscow is the administrative center of the Central federal district. Yekaterinburg is the administrative center of the Ural federal district. Vladivostok is the administrative center of the Far Eastern federal district. The Far Eastern federal district has the largest area among all federal districts in Russia. Some federal districts in Russia were established in 2000.

FederalDistrictOf(central, russia) ∧ FederalDistrictOf(northwestern, russia) ∧ FederalDistrictOf(southern, russia) ∧ FederalDistrictOf(northcaucasian, russia) ∧ FederalDistrictOf(volga, russia) ∧ FederalDistrictOf(ural, russia) ∧ FederalDistrictOf(siberian, russia) ∧ FederalDistrictOf(fareastern, russia) LargestPopulation(central) AdministrativeCenterOf(moscow, central) AdministrativeCenterOf(yekaterinburg, ural) AdministrativeCenterOf(vladivostok, farEastern) LargestArea(farEastern) ∃x (FederalDistrictOf(x, russia) ∧ EstablishedIn(x, 2000))

Moscow is the administrative center of the federal district with the largest population.

∃x (AdministrativeCenterOf(moscow, x) ∧ LargestPopulationIn(x))

True

There are eight federal districts of Russia: Central, Northwestern, Southern, North Caucasian, Volga, Ural, Siberian, and Far Eastern. The Central federal district has the largest population among all federal districts in Russia. Moscow is the administrative center of the Central federal district. Yekaterinburg is the administrative center of the Ural federal district. Vladivostok is the administrative center of the Far Eastern federal district. The Far Eastern federal district has the largest area among all federal districts in Russia. Some federal districts in Russia were established in 2000.

FederalDistrictOf(central, russia) ∧ FederalDistrictOf(northwestern, russia) ∧ FederalDistrictOf(southern, russia) ∧ FederalDistrictOf(northcaucasian, russia) ∧ FederalDistrictOf(volga, russia) ∧ FederalDistrictOf(ural, russia) ∧ FederalDistrictOf(siberian, russia) ∧ FederalDistrictOf(fareastern, russia) LargestPopulation(central) AdministrativeCenterOf(moscow, central) AdministrativeCenterOf(yekaterinburg, ural) AdministrativeCenterOf(vladivostok, farEastern) LargestArea(farEastern) ∃x (FederalDistrictOf(x, russia) ∧ EstablishedIn(x, 2000))

The Northwestern federal district was established in 2000.

EstablishedIn(northwestern, 2000)

Uncertain

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

Arthritis can be treated at home.

CanBeTreatedAtHome(arthritis)

Uncertain

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

Arthritis is colorectal cancer.

ColorectalCancer(arthritis)

False

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

Arthritis is not colorectal cancer.

¬ColorectalCancer(arthritis)

True

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

Arthritis is colorectal cancer or has mutations.

ColorectalCancer(arthritis) ∨ Have(arthritis, mutation)

False

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

Arthritis is colorectal cancer and a cancer.

ColorectalCancer(arthritisr) ∧ Cancer(arthritis)

False

All cancers have mutations. No mutations can be treated at home. All colorectal cancers are cancers. A cold can be treated at home. Arthritis either is a cold and has mutations or neither is a cold nor has mutations.

∀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))

If arthritis is not colorectal cancer, then arthritis has mutations.

¬ColorectalCancer(arthritis) → Have(arthritis, mutation)

False

Jerry should not worry about things outside of his control. All traffic is outside of my control.

∀x (OutsideOfControl(x) → ¬ShouldWorry(jerry, x)) ∀x (Traffic(x) → OutsideControl(x))

Jerry should not worry about traffic.

¬ShouldWorry(jerry, traffic)

True

Roversi is an Italian surname. Alba Roversi uses Roversi as a surname. Paolo Roversi uses Roversi as a surname. Roberto Roversi uses Roversi as a surname. Paolo Roversi is a photographer. A photographer is a professional or an amateur.

ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))

Alba Roversi uses an Italian surname.

∃x (ItalianName(x) ∧ Surname(x) ∧ UseAsSurname(albaRoversi, x))

True

Roversi is an Italian surname. Alba Roversi uses Roversi as a surname. Paolo Roversi uses Roversi as a surname. Roberto Roversi uses Roversi as a surname. Paolo Roversi is a photographer. A photographer is a professional or an amateur.

ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))

There are no photographers using an Italian surname.

¬(∃x ∃y (Photographer(x) ∧ ItalianName(y) ∧ Surname(y) ∧ UseAsSurname(x, y)))

False

Roversi is an Italian surname. Alba Roversi uses Roversi as a surname. Paolo Roversi uses Roversi as a surname. Roberto Roversi uses Roversi as a surname. Paolo Roversi is a photographer. A photographer is a professional or an amateur.

ItalianName(roversi) ∧ Surname(roversi) UseAsSurname(albaRoversi, roversi) UseAsSurname(paoloRoversi, roversi) UseAsSurname(robertoRoversi, roversi) Photographer(paoloRoversi) ∀x (Photographer(x) → Professional(x) ⊕ Amateur(x))

Paolo is an amateur photographer.

Amateur(paoloRoversi) ∧ Photographer(paoloRoversi)

Uncertain

Zaha Hadid is a British-Iraqi architect, artist, and designer. Zaha Hadid was born on 31 October 1950 in Baghdad, Iraq. Zaha Hadid was a visiting professor of Architectural Design at the Yale School of Architecture. Max is an aspiring architecture student and plans to apply to the Yale School of Architecture.

British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid) BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq) VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture) AspiringArchitectureStudent(max) ∧ PlansToApplyTo(max, yaleSchoolofArchitecture)

Zaha Hadid was a citizen of Britain and Iraq.

British-Iraqi(zahaHadid)

True

Zaha Hadid is a British-Iraqi architect, artist, and designer. Zaha Hadid was born on 31 October 1950 in Baghdad, Iraq. Zaha Hadid was a visiting professor of Architectural Design at the Yale School of Architecture. Max is an aspiring architecture student and plans to apply to the Yale School of Architecture.

British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid) BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq) VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture) AspiringArchitectureStudent(max) ∧ PlansToApplyTo(max, yaleSchoolofArchitecture)

Zaha Hadid did some work in interior design.

DidWorkIn(zahaHadid, interiorDesign)

Uncertain

Zaha Hadid is a British-Iraqi architect, artist, and designer. Zaha Hadid was born on 31 October 1950 in Baghdad, Iraq. Zaha Hadid was a visiting professor of Architectural Design at the Yale School of Architecture. Max is an aspiring architecture student and plans to apply to the Yale School of Architecture.

British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid) BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq) VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture) AspiringArchitectureStudent(max) ∧ PlansToApplyTo(max, yaleSchoolofArchitecture)

Zaha Hadid was born on the 31st of October in 1982.

BornOn(zahaHadid, 31October1950)

Uncertain

Zaha Hadid is a British-Iraqi architect, artist, and designer. Zaha Hadid was born on 31 October 1950 in Baghdad, Iraq. Zaha Hadid was a visiting professor of Architectural Design at the Yale School of Architecture. Max is an aspiring architecture student and plans to apply to the Yale School of Architecture.

British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid) BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq) VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture) AspiringArchitectureStudent(max) ∧ PlansToApplyTo(max, yaleSchoolofArchitecture)

Max admires Zaha Hadid.

Admires(max, zahaHadid)

Uncertain

A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique. All noninvasive neuroimaging techniques provide a spatial resolution of brains. If a technique provides a spatial resolution of brains, then it is a measurement of brain activity. All measurements of brain activity are used by neuroscience researchers. FMRI is either a measurement of brain activity or a noninvasive neuroimaging technique. FMRI is a neuroimaging technique.

∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x))) ∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains)) ∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity)) ∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers)) Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI) NeuroimagingTechnique(fMRI)

FMRI provides a spatial resolution of brains.

Provides(fMRI, spatialResolutionOfBrains)

Uncertain

A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique. All noninvasive neuroimaging techniques provide a spatial resolution of brains. If a technique provides a spatial resolution of brains, then it is a measurement of brain activity. All measurements of brain activity are used by neuroscience researchers. FMRI is either a measurement of brain activity or a noninvasive neuroimaging technique. FMRI is a neuroimaging technique.

∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x))) ∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains)) ∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity)) ∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers)) Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI) NeuroimagingTechnique(fMRI)

FMRI is an invasive neuroimaging technique and is used by neuroscience researchers.

Invasive(fMRI) ∧ UsedBy(fMRI, neuroscienceResearchers)

True

A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique. All noninvasive neuroimaging techniques provide a spatial resolution of brains. If a technique provides a spatial resolution of brains, then it is a measurement of brain activity. All measurements of brain activity are used by neuroscience researchers. FMRI is either a measurement of brain activity or a noninvasive neuroimaging technique. FMRI is a neuroimaging technique.

∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x))) ∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains)) ∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity)) ∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers)) Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI) NeuroimagingTechnique(fMRI)

FMRI is either an invasive neuroimaging technique or is used by neuroscience researchers.

Invasive(fMRI) ⊕ UsedBy(fMRI, neuroscienceResearchers)

False

A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique. All noninvasive neuroimaging techniques provide a spatial resolution of brains. If a technique provides a spatial resolution of brains, then it is a measurement of brain activity. All measurements of brain activity are used by neuroscience researchers. FMRI is either a measurement of brain activity or a noninvasive neuroimaging technique. FMRI is a neuroimaging technique.

∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x))) ∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains)) ∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity)) ∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers)) Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI) NeuroimagingTechnique(fMRI)

If fMRI is not an invasive neuroimaging technique used by neuroscience researchers, then fMRI is neither a noninvasive neuroimaging technique nor provides a spatial resolution of brains.

¬(Invasive(fMRI) ∧ UsedBy(fMRI, neuroscienceResearchers)) → ¬(Noninvasive(fMRI) ∨ Provides(fMRI, spatialResolutionOfBrains))

True

Researchers present their work at the conference or provide a tutorial session there. Everyone who presents their work at the conference will attend in person. Everyone providing a tutorial session at the conference will be invited to join the club. Everyone who attends the conference in person is provided with souvenirs. Everyone invited to join the club is provided with delicious meals. Everyone provided with delicious meals is happy to communicate with each other during the dinner. Everyone who is provided with delicious meals is invited to take a photo with the audience. It is not true that James both attended the conference in person and was provided with souvenirs.

∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference)) ∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference)) ∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club)) ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) ¬(AttendInPerson(james, conference) ∧ ProvidedWith(x, souvenir))

James is provided with souvenirs.

ProvidedWith(james, souvenir)

Uncertain

Researchers present their work at the conference or provide a tutorial session there. Everyone who presents their work at the conference will attend in person. Everyone providing a tutorial session at the conference will be invited to join the club. Everyone who attends the conference in person is provided with souvenirs. Everyone invited to join the club is provided with delicious meals. Everyone provided with delicious meals is happy to communicate with each other during the dinner. Everyone who is provided with delicious meals is invited to take a photo with the audience. It is not true that James both attended the conference in person and was provided with souvenirs.

∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference)) ∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference)) ∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club)) ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) ¬(AttendInPerson(james, conference) ∧ ProvidedWith(x, souvenir))

James is not provided with souvenirs.

¬ProvidedWith(x, souvenir)

Uncertain

Researchers present their work at the conference or provide a tutorial session there. Everyone who presents their work at the conference will attend in person. Everyone providing a tutorial session at the conference will be invited to join the club. Everyone who attends the conference in person is provided with souvenirs. Everyone invited to join the club is provided with delicious meals. Everyone provided with delicious meals is happy to communicate with each other during the dinner. Everyone who is provided with delicious meals is invited to take a photo with the audience. It is not true that James both attended the conference in person and was provided with souvenirs.

∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference)) ∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference)) ∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club)) ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) ¬(AttendInPerson(james, conference) ∧ 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)))

True

Researchers present their work at the conference or provide a tutorial session there. Everyone who presents their work at the conference will attend in person. Everyone providing a tutorial session at the conference will be invited to join the club. Everyone who attends the conference in person is provided with souvenirs. Everyone invited to join the club is provided with delicious meals. Everyone provided with delicious meals is happy to communicate with each other during the dinner. Everyone who is provided with delicious meals is invited to take a photo with the audience. It is not true that James both attended the conference in person and was provided with souvenirs.

∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference)) ∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference)) ∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club)) ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) ¬(AttendInPerson(james, conference) ∧ ProvidedWith(x, souvenir))

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)))

True

Researchers present their work at the conference or provide a tutorial session there. Everyone who presents their work at the conference will attend in person. Everyone providing a tutorial session at the conference will be invited to join the club. Everyone who attends the conference in person is provided with souvenirs. Everyone invited to join the club is provided with delicious meals. Everyone provided with delicious meals is happy to communicate with each other during the dinner. Everyone who is provided with delicious meals is invited to take a photo with the audience. It is not true that James both attended the conference in person and was provided with souvenirs.

∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference)) ∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference)) ∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club)) ∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir)) ∀x (InvitedToJoin(x, club) → ProvidedWith(x, deliciousMeal)) ∀x (ProvidedWith(x, deliciousMeal) ∧ ProvidedWith(y, deliciousMeal) → ∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(x, y) ∧ HappyToCommunicateWithDuringTheDinner(x, z))) ∀x (ProvidedWith(x, deliciousMeal) → InvitedToTakePhotoWith(x, audience)) ¬(AttendInPerson(james, conference) ∧ ProvidedWith(x, souvenir))

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)))

False

The USS Salem is a heavy cruiser built for the United States Navy. The last heavy cruiser to enter service was the USS Salem. The USS Salem is a museum ship. Museum ships are open to the public. The USS Salem served in the Atlantic and Mediterranean.

HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)

The USS Salem is open to the public.

OpenToPublic(usssalem)

True

The USS Salem is a heavy cruiser built for the United States Navy. The last heavy cruiser to enter service was the USS Salem. The USS Salem is a museum ship. Museum ships are open to the public. The USS Salem served in the Atlantic and Mediterranean.

HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)

There is a museum ship open to the public that served in the Mediterranean.

∃x (MuseumShip(x) ∧ OpenToPublic(x) ∧ ServedIn(x, mediterranean))

True

The USS Salem is a heavy cruiser built for the United States Navy. The last heavy cruiser to enter service was the USS Salem. The USS Salem is a museum ship. Museum ships are open to the public. The USS Salem served in the Atlantic and Mediterranean.

HeavyCruiser(usssalem) ∧ BuiltFor(usssalem, unitedstatesnavy) LastHeavyCruiserToEnterService(usssalem) MuseumShip(usssalem) ∀x (MuseumShip(x) → OpenToPublic(x)) ServedIn(usssalem, atlantic) ∧ ServedIn(usssalem, mediterranean)

The USS Salem was not the last heavy cruiser to enter service.

¬LastHeavyCruiserToEnterService(usssalem)

False

TS Leda was a good passenger and cargo vessel. TS Leda was a Norwegian vessel that was built with stabilizers. Stabilizers are mechanical devices found only on ships with powerful steam turbine engines. To be a good passenger and cargo vessel, ships must be quiet and good at sea. Some ships that are quiet and good at sea have powerful steam turbine engines. Vessels are ships.

∀x (TSLeda(x) → ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x))) ∀x (TSLeda(x) → (Norweigian(x) ∧ Vessel(x) ∧ Stabilizers(x))) ∀x (Stabilizers(x) → MechanicalDevice(x) ∧ OnlyOnShips(x) ∧ PowerfulSteamTurbine(x)) ∀x ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x)) → (Quiet(x) ∧ GoodAt(x, sea))) ∃x (Quiet(x) ∧ GoodAt(x, sea) ∧ PowerfulSteamTurbine(x)) ∀x (Ship(x) → Vessel(x))

TS Leda was quiet and good at sea.

∀x (TSLeda(x) → Quiet(x) ∧ GoodAt(x, sea))

True

TS Leda was a good passenger and cargo vessel. TS Leda was a Norwegian vessel that was built with stabilizers. Stabilizers are mechanical devices found only on ships with powerful steam turbine engines. To be a good passenger and cargo vessel, ships must be quiet and good at sea. Some ships that are quiet and good at sea have powerful steam turbine engines. Vessels are ships.

∀x (TSLeda(x) → ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x))) ∀x (TSLeda(x) → (Norweigian(x) ∧ Vessel(x) ∧ Stabilizers(x))) ∀x (Stabilizers(x) → MechanicalDevice(x) ∧ OnlyOnShips(x) ∧ PowerfulSteamTurbine(x)) ∀x ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x)) → (Quiet(x) ∧ GoodAt(x, sea))) ∃x (Quiet(x) ∧ GoodAt(x, sea) ∧ PowerfulSteamTurbine(x)) ∀x (Ship(x) → Vessel(x))

TS Leda had powerful steam turbine engines.

∀x (TSLeda(x) → PowerfulSteamTurbine(x))

True

TS Leda was a good passenger and cargo vessel. TS Leda was a Norwegian vessel that was built with stabilizers. Stabilizers are mechanical devices found only on ships with powerful steam turbine engines. To be a good passenger and cargo vessel, ships must be quiet and good at sea. Some ships that are quiet and good at sea have powerful steam turbine engines. Vessels are ships.

∀x (TSLeda(x) → ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x))) ∀x (TSLeda(x) → (Norweigian(x) ∧ Vessel(x) ∧ Stabilizers(x))) ∀x (Stabilizers(x) → MechanicalDevice(x) ∧ OnlyOnShips(x) ∧ PowerfulSteamTurbine(x)) ∀x ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x)) → (Quiet(x) ∧ GoodAt(x, sea))) ∃x (Quiet(x) ∧ GoodAt(x, sea) ∧ PowerfulSteamTurbine(x)) ∀x (Ship(x) → Vessel(x))

TS Leda was not a Norwegian vessel.

∀x (TSLeda(x) → ¬(Norweigian(x) ∧ Vessel(x)))

False

Rosa was born in Santiago. Santiago is the capital and largest city of Chile. Rosa is the daughter of a Catalan building contractor, Jose. Jose has a Chilean wife, Carmen. Carmen and Jose are Rosa's parents. People from Catalan are not from Chile. A building contractor is responsible for the day-to-day oversight of a construction site.

BornIn(rosa, santiago) CapitalOf(santiago, chile) ∧ LargestCityOf(santiago, chile) DaughterOf(rosa, jose) ∧ BuildingContractor(jose) ∧ Catalan(jose) WifeOf(jose, carmen) ∧ Chilean(carmen) ParentOf(jose, rosa) ∧ ParentOf(carmen, rosa) ∀x (Catalan(x) → ¬Chilean(x)) ∀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))

True

Rosa was born in Santiago. Santiago is the capital and largest city of Chile. Rosa is the daughter of a Catalan building contractor, Jose. Jose has a Chilean wife, Carmen. Carmen and Jose are Rosa's parents. People from Catalan are not from Chile. A building contractor is responsible for the day-to-day oversight of a construction site.

BornIn(rosa, santiago) CapitalOf(santiago, chile) ∧ LargestCityOf(santiago, chile) DaughterOf(rosa, jose) ∧ BuildingContractor(jose) ∧ Catalan(jose) WifeOf(jose, carmen) ∧ Chilean(carmen) ParentOf(jose, rosa) ∧ ParentOf(carmen, rosa) ∀x (Catalan(x) → ¬Chilean(x)) ∀x ∃y (BuildingContractor(x) → ConstructionSite(y) ∧ Oversee(x, y))

Neither of Rosa's parents is Chilean.

¬Chilean(jose) ∧ ¬Chilean(carmen)

False

Rosa was born in Santiago. Santiago is the capital and largest city of Chile. Rosa is the daughter of a Catalan building contractor, Jose. Jose has a Chilean wife, Carmen. Carmen and Jose are Rosa's parents. People from Catalan are not from Chile. A building contractor is responsible for the day-to-day oversight of a construction site.

BornIn(rosa, santiago) CapitalOf(santiago, chile) ∧ LargestCityOf(santiago, chile) DaughterOf(rosa, jose) ∧ BuildingContractor(jose) ∧ Catalan(jose) WifeOf(jose, carmen) ∧ Chilean(carmen) ParentOf(jose, rosa) ∧ ParentOf(carmen, rosa) ∀x (Catalan(x) → ¬Chilean(x)) ∀x ∃y (BuildingContractor(x) → ConstructionSite(y) ∧ Oversee(x, y))

Rosa is the daughter of someone who is responsible for the oversight of traffic.

∃x (DaughterOf(rosa, x) ∧ Oversee(x, traffic))

True

Tyga is a rapper. Rappers release rap albums. Tyga released the Well Done 3 album. Rappers are not opera singers.

IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))

Well Done 3 is a rap album.

IsRapAlbum(wellDone3)

True

Tyga is a rapper. Rappers release rap albums. Tyga released the Well Done 3 album. Rappers are not opera singers.

IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))

Tyga is an opera singer.

IsOperaSinger(tyga)

False

Tyga is a rapper. Rappers release rap albums. Tyga released the Well Done 3 album. Rappers are not opera singers.

IsRapper(tyga) ∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y)) ReleasedAlbum(tyga, wellDone3) ∀x (IsRapper(x) → ¬IsOperaSinger(x))

Well Done 3 is worth listening to.

IsWorthListening(wellDone3)

Uncertain

Deborah Wallace is a Scottish-born actress, playwright, and producer. Psyche is a play based on the life of James Miranda Barry. Homesick, Psyche and The Void are plays by Deborah Wallace. Deborah Wallace co-produced Gasland.

BornIn(deborahWallace, scotland) ∧ Actress(deborahWallace) ∧ Playwright(deborahWallace) ∧ Producer(deborahWallace) Play(psyche) ∧ BasedOn(psyche, lifeOfJamesMirandaBarry) Play(homesick) ∧ WrittenBy(homesick, deborahWallace) ∧ Play(psyche) ∧ WrittenBy(psyche, deborahWallace) ∧ Play(theVoid) ∧ WrittenBy(theVoid, deborahWallace) CoProduce(deborahWallace, gasland)

Gasland was coproduced by the same person Homesick was from.

∃x (CoProduces(x, gasland) ∧ WrittenBy(homesick, x))

True

Deborah Wallace is a Scottish-born actress, playwright, and producer. Psyche is a play based on the life of James Miranda Barry. Homesick, Psyche and The Void are plays by Deborah Wallace. Deborah Wallace co-produced Gasland.

BornIn(deborahWallace, scotland) ∧ Actress(deborahWallace) ∧ Playwright(deborahWallace) ∧ Producer(deborahWallace) Play(psyche) ∧ BasedOn(psyche, lifeOfJamesMirandaBarry) Play(homesick) ∧ WrittenBy(homesick, deborahWallace) ∧ Play(psyche) ∧ WrittenBy(psyche, deborahWallace) ∧ Play(theVoid) ∧ WrittenBy(theVoid, deborahWallace) CoProduce(deborahWallace, gasland)

No plays by Deborah Wallace are based on the life of James Miranda Barry.

∀x (Play(x) ∧ WrittenBy(x, deborahwallace) → ¬BasedOn(x, lifeofjamesmirandabarry))

False

Deborah Wallace is a Scottish-born actress, playwright, and producer. Psyche is a play based on the life of James Miranda Barry. Homesick, Psyche and The Void are plays by Deborah Wallace. Deborah Wallace co-produced Gasland.

BornIn(deborahWallace, scotland) ∧ Actress(deborahWallace) ∧ Playwright(deborahWallace) ∧ Producer(deborahWallace) Play(psyche) ∧ BasedOn(psyche, lifeOfJamesMirandaBarry) Play(homesick) ∧ WrittenBy(homesick, deborahWallace) ∧ Play(psyche) ∧ WrittenBy(psyche, deborahWallace) ∧ Play(theVoid) ∧ WrittenBy(theVoid, deborahWallace) CoProduce(deborahWallace, gasland)

Gasland is a play.

Play(gasland)

Uncertain

Animals who need large territory travel far. Every animal that eats a lot needs a large territory. If something is a big animal, then it will eat a lot. Bears are big animals. Larry is a big animal.

∀x (Animal(x) ∧ Need(x, largeTerritory) → TravelFar(x)) ∀x (EatALot(x) → Need(x, largeTerritory)) ∀x (Big(x) ∧ Animal(x) → EatALot(x)) ∀x (Bear(x) → Big(x) ∧ Animal(x)) Big(larry) ∧ Animal(larry)

Larry is a bear.

Bear(larry)

Uncertain

Animals who need large territory travel far. Every animal that eats a lot needs a large territory. If something is a big animal, then it will eat a lot. Bears are big animals. Larry is a big animal.

∀x (Animal(x) ∧ Need(x, largeTerritory) → TravelFar(x)) ∀x (EatALot(x) → Need(x, largeTerritory)) ∀x (Big(x) ∧ Animal(x) → EatALot(x)) ∀x (Bear(x) → Big(x) ∧ Animal(x)) Big(larry) ∧ Animal(larry)

Larry is not a bear and does not travel far.

¬Bear(larry) ∧ ¬TravelFar(larry)

False

Animals who need large territory travel far. Every animal that eats a lot needs a large territory. If something is a big animal, then it will eat a lot. Bears are big animals. Larry is a big animal.

∀x (Animal(x) ∧ Need(x, largeTerritory) → TravelFar(x)) ∀x (EatALot(x) → Need(x, largeTerritory)) ∀x (Big(x) ∧ Animal(x) → EatALot(x)) ∀x (Bear(x) → Big(x) ∧ Animal(x)) Big(larry) ∧ Animal(larry)

If Larry either travels far or needs a large territory, then Larry is a bear.

TravelFar(larry) ⊕ Need(larry, largeTerritory) → Bear(larry)

True

Any convicted criminal that is innocent is not truly guilty. All convicted criminals who did not commit a crime are truly innocent. All convicted criminals are truly guilty or found guilty. If a convicted criminal is found guilty, then they are sentenced to a punishment. If a convicted criminal is found guilty, then they can argue against their punishment. Garry is a convicted criminal who not found guilty or is sentenced to punishment.

∀x (ConvictedCriminal(x) ∧ Innocent(x) → ¬TrulyGuilty(x)) ∀x (ConvictedCriminal(x) ∧ ¬CommitCrime(x) → Innocent(x)) ∀x (ConvictedCriminal(x) ∧ (TrulyGuilty(x) ∨ FoundGuilty(x))) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → SentencedToPunishment(x)) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → CanArgueAgainst(x, punishment)) ConvictedCriminal(garry) ∧ (¬(FoundGuilty(garry) ∨ SentencedToPunishment(garry)))

Garry is sentenced to a punishment.

SentencedToPunishment(garry)

Uncertain

Any convicted criminal that is innocent is not truly guilty. All convicted criminals who did not commit a crime are truly innocent. All convicted criminals are truly guilty or found guilty. If a convicted criminal is found guilty, then they are sentenced to a punishment. If a convicted criminal is found guilty, then they can argue against their punishment. Garry is a convicted criminal who not found guilty or is sentenced to punishment.

∀x (ConvictedCriminal(x) ∧ Innocent(x) → ¬TrulyGuilty(x)) ∀x (ConvictedCriminal(x) ∧ ¬CommitCrime(x) → Innocent(x)) ∀x (ConvictedCriminal(x) ∧ (TrulyGuilty(x) ∨ FoundGuilty(x))) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → SentencedToPunishment(x)) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → CanArgueAgainst(x, punishment)) ConvictedCriminal(garry) ∧ (¬(FoundGuilty(garry) ∨ SentencedToPunishment(garry)))

Garry did not commit a crime and can argue against his punishment.

¬CommitCrime(garry) ∧ CanArgueAgainst(garry, punishment)

False

Any convicted criminal that is innocent is not truly guilty. All convicted criminals who did not commit a crime are truly innocent. All convicted criminals are truly guilty or found guilty. If a convicted criminal is found guilty, then they are sentenced to a punishment. If a convicted criminal is found guilty, then they can argue against their punishment. Garry is a convicted criminal who not found guilty or is sentenced to punishment.

∀x (ConvictedCriminal(x) ∧ Innocent(x) → ¬TrulyGuilty(x)) ∀x (ConvictedCriminal(x) ∧ ¬CommitCrime(x) → Innocent(x)) ∀x (ConvictedCriminal(x) ∧ (TrulyGuilty(x) ∨ FoundGuilty(x))) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → SentencedToPunishment(x)) ∀x (ConvictedCriminal(x) ∧ FoundGuilty(x) → CanArgueAgainst(x, punishment)) ConvictedCriminal(garry) ∧ (¬(FoundGuilty(garry) ∨ SentencedToPunishment(garry)))

Garry is not both innocent and someone who did not commit a crime.

¬(Innocent(garry) ∧ ¬CommitCrime(garry))

True

Phoneix's music is classified under the indie pop genre. Phoenix is a band from France. French bands write songs in French or in English. Aside from indie pop, pop rock and synth-pop are two other genres of music. Phoenix has no songs in French.

IndiePop(phoenix) Band(phoenix) ∧ From(phoenix, france) ∀x ∃y (Band(x) ∧ From(x, france) ∧ Write(x, y) ∧ Song(y) → InFrench(y) ⊕ InEnglish(y)) ∀x (IndiePop(x) → ¬PopRock(x) ∧ ¬SynthPop(x)) ∀x (Song(x) ∧ By(phoenix, x) → ¬InFrench(x))

Phoneix's music is classified under the pop rock genre.

PopRock(phoenix)

False