Datasets:

minimario

/

FOLIO

like 1

[ "All students learning piano can strike the right notes. ", "All students who can strike the right note can get the rhythms right. ", "If a student can get the rhythms right, he will start working on coordination between the left and the right hands. ", "Some students who start working on coordination between the left and the right hands become good at it. The other students find it challenging. ", "If John can strike the right notes, get the rhythms right and is good at coordination between right and left hands, then he puts emotions into his playing. ", "John is a student learning piano. ", "John does not find coordination between the left and the right hands challenging. " ]

[ "∀x (Student(x) ∧ LearningPiano(x) → StrikeRightNotes(x))", "∀x (Student(x) ∧ StrikeRightNotes(x) → GetRhythmRight(x))", "∀x (Student(x) ∧ GetRhythmRight(x) → StartCoordination(x))", "∀x (Student(x) ∧ StartCoordination(x) → GoodAtCoordination(x) ⊕ FindCoordinationChallenging(x))", "StrikeRightNotes(john) ∧ GetRhythmRight(john) ∧ GoodAtCoordination(john) → PutEmotion(john)", "Student(john) ∧ LearningPiano(john)", "¬FindCoordinationChallenging(john)" ]

[ "Barbara Ann Marshall is a former swimmer and former world record-holder.", "Barbara Ann Marshall participated in the 1972 Summer Olympics.", "Barbara Ann Marshall's home country is the United States.", "All people who compete in the 1972 Summer Olympics represent their home country.", "Barbara Ann Marshall participated in the preliminary heat in the freestyle relay.", "Barbara Ann Marshall did not participate in the event final of the 1972 Summer Olympics freestyle relay.", "Only relay swimmers who participated in the event final received medals." ]

[ "FormerSwimmer(barbaraannmarshall) ∧ FormerWorldRecordHolder(barbaraannmarshall)", "ParticipatedIn(barbaraannmarshall, summer1972olympics)", "HomeCountry(barbaraannmarshall, unitedstates)", "∀x ∃y (ParticipatedIn(x, summer1972olympics) ∧ HomeCountry(x, y) → Represented(x, y))", "ParticipatedIn(barbaraannmarshall, preliminaryheatfreestylerelay)", "¬ParticipatedIn(barbaraannmarshall, finalheatfreestylerelay)", "∀x ((RelaySwimmer(x) ∧ ¬ParticipatedIn(x, finalheatfreerelay)) ↔ ¬Recieved(x, medal)))" ]

[ "Barbara Ann Marshall is a former swimmer and former world record-holder.", "Barbara Ann Marshall participated in the 1972 Summer Olympics.", "Barbara Ann Marshall's home country is the United States.", "All people who compete in the 1972 Summer Olympics represent their home country.", "Barbara Ann Marshall participated in the preliminary heat in the freestyle relay.", "Barbara Ann Marshall did not participate in the event final of the 1972 Summer Olympics freestyle relay.", "Only relay swimmers who participated in the event final received medals." ]

[ "FormerSwimmer(barbaraannmarshall) ∧ FormerWorldRecordHolder(barbaraannmarshall)", "ParticipatedIn(barbaraannmarshall, summer1972olympics)", "HomeCountry(barbaraannmarshall, unitedstates)", "∀x ∃y (ParticipatedIn(x, summer1972olympics) ∧ HomeCountry(x, y) → Represented(x, y))", "ParticipatedIn(barbaraannmarshall, preliminaryheatfreestylerelay)", "¬ParticipatedIn(barbaraannmarshall, finalheatfreestylerelay)", "∀x ((RelaySwimmer(x) ∧ ¬ParticipatedIn(x, finalheatfreerelay)) ↔ ¬Recieved(x, medal)))" ]

[ "A game is played with three stages: red stage, yellow stage, and green stage.", "Each player begins at the red stage.", "All players must reach the yellow stage before they can reach the green stage.", "The yellow stage comes after the red stage.", "All players must proceed one stage at a time." ]

[ "∃x (Player(x))", "∀x (Player(x) → StartRed(x))", "∀x (Player(x) → YellowToGreen(x))", "∀x (Player(x) → RedToYellow(x))", "∀x (Player(x) → ¬RedToGreen(x))" ]

[ "A game is played with three stages: red stage, yellow stage, and green stage.", "Each player begins at the red stage.", "All players must reach the yellow stage before they can reach the green stage.", "The yellow stage comes after the red stage.", "All players must proceed one stage at a time." ]

[ "∃x (Player(x))", "∀x (Player(x) → StartRed(x))", "∀x (Player(x) → YellowToGreen(x))", "∀x (Player(x) → RedToYellow(x))", "∀x (Player(x) → ¬RedToGreen(x))" ]

[ "A game is played with three stages: red stage, yellow stage, and green stage.", "Each player begins at the red stage.", "All players must reach the yellow stage before they can reach the green stage.", "The yellow stage comes after the red stage.", "All players must proceed one stage at a time." ]

[ "∃x (Player(x))", "∀x (Player(x) → StartRed(x))", "∀x (Player(x) → YellowToGreen(x))", "∀x (Player(x) → RedToYellow(x))", "∀x (Player(x) → ¬RedToGreen(x))" ]

[ "People either value physical touch as an especially important love language or value words of affirmation as an especially important love language.", "If a person values physical touch as an especially important love language, then they are good with pets.", "No people that are good with pets are scared of animals.", "People are either scared of animals or love animals.", "Adam is either a person who values physical touch as an especially important love language or a person who loves animals." ]

[ "∀x (Physical(x) ∨ Words(x))", "∀x (Physical(x) → GoodWithPets(x))", "∀x (GoodWithPets(x) → ¬ScaredOfAnimals(x))", "∀x (ScaredOfAnimals(x) ∨ LoveAnimals(x))", "Physical(adam) ⊕ LoveAnimals(adam)" ]

[ "People either value physical touch as an especially important love language or value words of affirmation as an especially important love language.", "If a person values physical touch as an especially important love language, then they are good with pets.", "No people that are good with pets are scared of animals.", "People are either scared of animals or love animals.", "Adam is either a person who values physical touch as an especially important love language or a person who loves animals." ]

[ "∀x (Physical(x) ∨ Words(x))", "∀x (Physical(x) → GoodWithPets(x))", "∀x (GoodWithPets(x) → ¬ScaredOfAnimals(x))", "∀x (ScaredOfAnimals(x) ∨ LoveAnimals(x))", "Physical(adam) ⊕ LoveAnimals(adam)" ]

[ "People either value physical touch as an especially important love language or value words of affirmation as an especially important love language.", "If a person values physical touch as an especially important love language, then they are good with pets.", "No people that are good with pets are scared of animals.", "People are either scared of animals or love animals.", "Adam is either a person who values physical touch as an especially important love language or a person who loves animals." ]

[ "∀x (Physical(x) ∨ Words(x))", "∀x (Physical(x) → GoodWithPets(x))", "∀x (GoodWithPets(x) → ¬ScaredOfAnimals(x))", "∀x (ScaredOfAnimals(x) ∨ LoveAnimals(x))", "Physical(adam) ⊕ LoveAnimals(adam)" ]

[ "People either value physical touch as an especially important love language or value words of affirmation as an especially important love language.", "If a person values physical touch as an especially important love language, then they are good with pets.", "No people that are good with pets are scared of animals.", "People are either scared of animals or love animals.", "Adam is either a person who values physical touch as an especially important love language or a person who loves animals." ]

[ "∀x (Physical(x) ∨ Words(x))", "∀x (Physical(x) → GoodWithPets(x))", "∀x (GoodWithPets(x) → ¬ScaredOfAnimals(x))", "∀x (ScaredOfAnimals(x) ∨ LoveAnimals(x))", "Physical(adam) ⊕ LoveAnimals(adam)" ]

[ "People either value physical touch as an especially important love language or value words of affirmation as an especially important love language.", "If a person values physical touch as an especially important love language, then they are good with pets.", "No people that are good with pets are scared of animals.", "People are either scared of animals or love animals.", "Adam is either a person who values physical touch as an especially important love language or a person who loves animals." ]

[ "∀x (Physical(x) ∨ Words(x))", "∀x (Physical(x) → GoodWithPets(x))", "∀x (GoodWithPets(x) → ¬ScaredOfAnimals(x))", "∀x (ScaredOfAnimals(x) ∨ LoveAnimals(x))", "Physical(adam) ⊕ LoveAnimals(adam)" ]

[ "All birds have wings.", "No animal with wings is a reptile.", "Some animals that fly are birds.", "If something is an iguana, then it is a reptile.", "John is neither an iguana nor a bird." ]

[ "∀x (Bird(x) → Winged(x))", "∀x (Winged(x) → ¬Reptile(x))", "∃x (Fly(x) ∧ Bird(x))", "∀x (Iguana(x) → Reptile(x))", "¬Iguana(john) ⊕ Bird(john)" ]

[ "All birds have wings.", "No animal with wings is a reptile.", "Some animals that fly are birds.", "If something is an iguana, then it is a reptile.", "John is neither an iguana nor a bird." ]

[ "∀x (Bird(x) → Winged(x))", "∀x (Winged(x) → ¬Reptile(x))", "∃x (Fly(x) ∧ Bird(x))", "∀x (Iguana(x) → Reptile(x))", "¬Iguana(john) ⊕ Bird(john)" ]

[ "All birds have wings.", "No animal with wings is a reptile.", "Some animals that fly are birds.", "If something is an iguana, then it is a reptile.", "John is neither an iguana nor a bird." ]

[ "∀x (Bird(x) → Winged(x))", "∀x (Winged(x) → ¬Reptile(x))", "∃x (Fly(x) ∧ Bird(x))", "∀x (Iguana(x) → Reptile(x))", "¬Iguana(john) ⊕ Bird(john)" ]

[ "EndGame is a movie released in 2006.", "EndGame was set in Washington.", "EndGame was filmed outside of Washington.", "Some movies are filmed in New York.", "Andy Chang directed EndGame.", "Andy Chang is from Hong Kong." ]

[ "Movie(endGame) ∧ Released(endGame, year2006)", "Set(endGame, washington)", "FilmedOutside(endGame, washington)", "∃x (FilmedIn(x, newYork))", "Directed(andyChang, endGame)", "From(andyChang, hongKong)" ]

[ "EndGame is a movie released in 2006.", "EndGame was set in Washington.", "EndGame was filmed outside of Washington.", "Some movies are filmed in New York.", "Andy Chang directed EndGame.", "Andy Chang is from Hong Kong." ]

[ "Movie(endGame) ∧ Released(endGame, year2006)", "Set(endGame, washington)", "FilmedOutside(endGame, washington)", "∃x (FilmedIn(x, newYork))", "Directed(andyChang, endGame)", "From(andyChang, hongKong)" ]

[ "EndGame is a movie released in 2006.", "EndGame was set in Washington.", "EndGame was filmed outside of Washington.", "Some movies are filmed in New York.", "Andy Chang directed EndGame.", "Andy Chang is from Hong Kong." ]

[ "Movie(endGame) ∧ Released(endGame, year2006)", "Set(endGame, washington)", "FilmedOutside(endGame, washington)", "∃x (FilmedIn(x, newYork))", "Directed(andyChang, endGame)", "From(andyChang, hongKong)" ]

[ "Six, seven and eight are real numbers.", "If a real number equals another real number adding one, the first number is larger.", "If the number x is larger than number y, then y is not larger than x.", "Seven equals six plus one.", "Eight equals seven plus one.", "Two is positive.", "If a number is positive, then the double of it is also positive.", "Eight is the double of four.", "Four is the double of two." ]

[ "RealNum(six) ∧ RealNum(seven) ∧ RealNum(eight)", "∀x ∀y (RealNum(x) ∧ RealNum(y) ∧ EqualAddOne(x, y) → Larger(x, y))", "∀x ∀y (Larger(x, y) ↔ ¬Larger(y, x))", "EqualAddOne(seven, six)", "EqualAddOne(eight, seven)", "Positive(two)", "∀x ∀y ((Positive(x) ∧ EqualDouble(y, x)) → Positive(y))", "EqualDouble(eight, four)", "EqualDouble(four, two)" ]

[ "Six, seven and eight are real numbers.", "If a real number equals another real number adding one, the first number is larger.", "If the number x is larger than number y, then y is not larger than x.", "Seven equals six plus one.", "Eight equals seven plus one.", "Two is positive.", "If a number is positive, then the double of it is also positive.", "Eight is the double of four.", "Four is the double of two." ]

[ "RealNum(six) ∧ RealNum(seven) ∧ RealNum(eight)", "∀x ∀y (RealNum(x) ∧ RealNum(y) ∧ EqualAddOne(x, y) → Larger(x, y))", "∀x ∀y (Larger(x, y) ↔ ¬Larger(y, x))", "EqualAddOne(seven, six)", "EqualAddOne(eight, seven)", "Positive(two)", "∀x ∀y ((Positive(x) ∧ EqualDouble(y, x)) → Positive(y))", "EqualDouble(eight, four)", "EqualDouble(four, two)" ]

[ "Six, seven and eight are real numbers.", "If a real number equals another real number adding one, the first number is larger.", "If the number x is larger than number y, then y is not larger than x.", "Seven equals six plus one.", "Eight equals seven plus one.", "Two is positive.", "If a number is positive, then the double of it is also positive.", "Eight is the double of four.", "Four is the double of two." ]

[ "RealNum(six) ∧ RealNum(seven) ∧ RealNum(eight)", "∀x ∀y (RealNum(x) ∧ RealNum(y) ∧ EqualAddOne(x, y) → Larger(x, y))", "∀x ∀y (Larger(x, y) ↔ ¬Larger(y, x))", "EqualAddOne(seven, six)", "EqualAddOne(eight, seven)", "Positive(two)", "∀x ∀y ((Positive(x) ∧ EqualDouble(y, x)) → Positive(y))", "EqualDouble(eight, four)", "EqualDouble(four, two)" ]

[ "A dog never tells the truth.", "Some poker players are dogs." ]

[ "∀x (Dog(x) → NeverTellsTruth(x))", "∃x (PokerPlayer(x) ∧ Dog(x))" ]

[ "All Asians are human. ", "All Chinese are Asian.", "A man is either Chinese or British.", "All British are European. ", "All Spanish are European. ", "No Indian is European. ", "Jessee is either both an Indian and a human, or neither an Indian nor a human." ]

[ "∀x ( Asian(x)→ Human(x))", "∀x ( Chinese(x)→ Asian(x))", "∀x ( Chinese(x) ∨ British(x))", "∀x ( British(x)→ European(x))", "∀x ( Spanish(x)→ European(x))", "∀x ( Indian(x)→ ¬ European(x))", "( Indian(jesse) ∧ Human(jesse)) ⊕ (¬ Indian(jesse) ∧ ¬ Human(jesse))" ]

[ "All Asians are human. ", "All Chinese are Asian.", "A man is either Chinese or British.", "All British are European. ", "All Spanish are European. ", "No Indian is European. ", "Jessee is either both an Indian and a human, or neither an Indian nor a human." ]

[ "∀x ( Asian(x)→ Human(x))", "∀x ( Chinese(x)→ Asian(x))", "∀x ( Chinese(x) ∨ British(x))", "∀x ( British(x)→ European(x))", "∀x ( Spanish(x)→ European(x))", "∀x ( Indian(x)→ ¬ European(x))", "( Indian(jesse) ∧ Human(jesse)) ⊕ (¬ Indian(jesse) ∧ ¬ Human(jesse))" ]

[ "All Asians are human. ", "All Chinese are Asian.", "A man is either Chinese or British.", "All British are European. ", "All Spanish are European. ", "No Indian is European. ", "Jessee is either both an Indian and a human, or neither an Indian nor a human." ]

[ "∀x ( Asian(x)→ Human(x))", "∀x ( Chinese(x)→ Asian(x))", "∀x ( Chinese(x) ∨ British(x))", "∀x ( British(x)→ European(x))", "∀x ( Spanish(x)→ European(x))", "∀x ( Indian(x)→ ¬ European(x))", "( Indian(jesse) ∧ Human(jesse)) ⊕ (¬ Indian(jesse) ∧ ¬ Human(jesse))" ]

[ "No people who never admit a mistake are good teachers.", "Some well-informed people are people who never admit a mistake." ]

[ "∀x (NeverAdmitMistakes(x) → ¬GoodTeacher(x))", "∃x (WellInformed(x) ∧ NeverAdmitMistakes(x))" ]

[ "Philatelic literature is divided into the following categories: Stamp catalogues, Periodicals, Auction catalogues, Books, Bibliographies, and Background Material", "Mort is not a Stamp catalogue.", "Mort is not a periodical, auction catalogue, bibliography, or background material.", "Mort is a piece of Philatelic literature." ]

[ "∀x (PhilatelicLit(x) → (Stamp(x) ∨ Periodical(x) ∨ Auction(x) ∨ Book(x) ∨ Bibliography(x) ∨ Background(x)))", "¬Stamp(mort)", "¬(Periodical(mort) ∨ Auction(mort) ∨ Bibliography(mort) ∨ Background(mort))", "PhilatelicLit(mort)" ]

[ "Philatelic literature is divided into the following categories: Stamp catalogues, Periodicals, Auction catalogues, Books, Bibliographies, and Background Material", "Mort is not a Stamp catalogue.", "Mort is not a periodical, auction catalogue, bibliography, or background material.", "Mort is a piece of Philatelic literature." ]

[ "∀x (PhilatelicLit(x) → (Stamp(x) ∨ Periodical(x) ∨ Auction(x) ∨ Book(x) ∨ Bibliography(x) ∨ Background(x)))", "¬Stamp(mort)", "¬(Periodical(mort) ∨ Auction(mort) ∨ Bibliography(mort) ∨ Background(mort))", "PhilatelicLit(mort)" ]

[ "Philatelic literature is divided into the following categories: Stamp catalogues, Periodicals, Auction catalogues, Books, Bibliographies, and Background Material", "Mort is not a Stamp catalogue.", "Mort is not a periodical, auction catalogue, bibliography, or background material.", "Mort is a piece of Philatelic literature." ]

[ "∀x (PhilatelicLit(x) → (Stamp(x) ∨ Periodical(x) ∨ Auction(x) ∨ Book(x) ∨ Bibliography(x) ∨ Background(x)))", "¬Stamp(mort)", "¬(Periodical(mort) ∨ Auction(mort) ∨ Bibliography(mort) ∨ Background(mort))", "PhilatelicLit(mort)" ]

[ "Adventures of Rusty is a drama film and children's film.", "Columbia Pictures produced Adventures of Rusty", "Tintin was produced by Paramount.", "Tintin is an adventure film." ]

[ "DramaFilm(adventuresofrusty) ∧ ChildrensFilm(adventuresofrusty)", "Produced(columbiapictures, adventuresofrusty)", "Produced(paramount, tintin)", "AdventureFilm(tintin)" ]

[ "Adventures of Rusty is a drama film and children's film.", "Columbia Pictures produced Adventures of Rusty", "Tintin was produced by Paramount.", "Tintin is an adventure film." ]

[ "DramaFilm(adventuresofrusty) ∧ ChildrensFilm(adventuresofrusty)", "Produced(columbiapictures, adventuresofrusty)", "Produced(paramount, tintin)", "AdventureFilm(tintin)" ]

[ "Adventures of Rusty is a drama film and children's film.", "Columbia Pictures produced Adventures of Rusty", "Tintin was produced by Paramount.", "Tintin is an adventure film." ]

[ "DramaFilm(adventuresofrusty) ∧ ChildrensFilm(adventuresofrusty)", "Produced(columbiapictures, adventuresofrusty)", "Produced(paramount, tintin)", "AdventureFilm(tintin)" ]

[ "Adventures of Rusty is a drama film and children's film.", "Columbia Pictures produced Adventures of Rusty", "Tintin was produced by Paramount.", "Tintin is an adventure film." ]

[ "DramaFilm(adventuresofrusty) ∧ ChildrensFilm(adventuresofrusty)", "Produced(columbiapictures, adventuresofrusty)", "Produced(paramount, tintin)", "AdventureFilm(tintin)" ]

[ "Deng Xiaoping served as the paramount leader of the People's Republic of China (PRC). ", "Deng Xiaoping was praised for his reaffirmation of the reform program in his Southern Tour of 1992 as well as the reversion of Hong Kong to Chinese control in 1997 and the return of Macau in 1999.", "As the party's Secretary-General under Mao and Vice Premier in he 1950s, Deng Xiaoping presided over the Anti-Rightist Campaign launched by Mao.", "Deng Xiaoping became instrumental in China's economic reconstruction following the disastrous Great Leap Forward (1958–1960).", "Mao Zedong died in 1976.", "After Mao Zedong's death, Deng Xiaoping gradually rose to supreme power." ]

[ "ParamountLeaderOf(dengxiaoping, prc)", "PraisedFor(dengxiaoping, reaffirmationofreformprogram) ∧ PraisedFor(dengxiaoping, reversionofhongkong) ∧ PraisedFor(dengxiaoping, returnofmacau)", "PartysSecretaryGeneral(dengxiaoping) ∧ Under(dengxiaoping, mao) ∧ VicePremier(dengxiaoping) ∧ PresidedOver(dengxiaoping, antirightistcampaign) ∧ LaunchedBy(antirightistcampaign, mao)", "InstrumentalIn(dengxiaoping, chinaseconomicreconstruction) ∧ Following(chinaseconomicreconstruction, greatleapforward) ∧ Disastrous(greatleapforward)", "DiedIn(mao, y1976)", "GraduallyRoseTo(dengxiaoping, supremepower)" ]

[ "Deng Xiaoping served as the paramount leader of the People's Republic of China (PRC). ", "Deng Xiaoping was praised for his reaffirmation of the reform program in his Southern Tour of 1992 as well as the reversion of Hong Kong to Chinese control in 1997 and the return of Macau in 1999.", "As the party's Secretary-General under Mao and Vice Premier in he 1950s, Deng Xiaoping presided over the Anti-Rightist Campaign launched by Mao.", "Deng Xiaoping became instrumental in China's economic reconstruction following the disastrous Great Leap Forward (1958–1960).", "Mao Zedong died in 1976.", "After Mao Zedong's death, Deng Xiaoping gradually rose to supreme power." ]

[ "ParamountLeaderOf(dengxiaoping, prc)", "PraisedFor(dengxiaoping, reaffirmationofreformprogram) ∧ PraisedFor(dengxiaoping, reversionofhongkong) ∧ PraisedFor(dengxiaoping, returnofmacau)", "PartysSecretaryGeneral(dengxiaoping) ∧ Under(dengxiaoping, mao) ∧ VicePremier(dengxiaoping) ∧ PresidedOver(dengxiaoping, antirightistcampaign) ∧ LaunchedBy(antirightistcampaign, mao)", "InstrumentalIn(dengxiaoping, chinaseconomicreconstruction) ∧ Following(chinaseconomicreconstruction, greatleapforward) ∧ Disastrous(greatleapforward)", "DiedIn(mao, y1976)", "GraduallyRoseTo(dengxiaoping, supremepower)" ]

[ "Deng Xiaoping served as the paramount leader of the People's Republic of China (PRC). ", "Deng Xiaoping was praised for his reaffirmation of the reform program in his Southern Tour of 1992 as well as the reversion of Hong Kong to Chinese control in 1997 and the return of Macau in 1999.", "As the party's Secretary-General under Mao and Vice Premier in he 1950s, Deng Xiaoping presided over the Anti-Rightist Campaign launched by Mao.", "Deng Xiaoping became instrumental in China's economic reconstruction following the disastrous Great Leap Forward (1958–1960).", "Mao Zedong died in 1976.", "After Mao Zedong's death, Deng Xiaoping gradually rose to supreme power." ]

[ "ParamountLeaderOf(dengxiaoping, prc)", "PraisedFor(dengxiaoping, reaffirmationofreformprogram) ∧ PraisedFor(dengxiaoping, reversionofhongkong) ∧ PraisedFor(dengxiaoping, returnofmacau)", "PartysSecretaryGeneral(dengxiaoping) ∧ Under(dengxiaoping, mao) ∧ VicePremier(dengxiaoping) ∧ PresidedOver(dengxiaoping, antirightistcampaign) ∧ LaunchedBy(antirightistcampaign, mao)", "InstrumentalIn(dengxiaoping, chinaseconomicreconstruction) ∧ Following(chinaseconomicreconstruction, greatleapforward) ∧ Disastrous(greatleapforward)", "DiedIn(mao, y1976)", "GraduallyRoseTo(dengxiaoping, supremepower)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "All imaginative processes are produced in human brains.", "All science-fiction is from an imaginative process.", "Either science-fiction or fact. ", "No facts are proven to be false.", "Dune is a science-fiction or proven to be false." ]

[ "∀x (ImaginativeProcess(x) → ProducedInHumanBrains(x))", " ∀x (Science-fiction(x) → ImaginativeProcess(x)) ", " ∀x (Science-fiction(x) ∨ Fact(x))", " ∀x (Fact(x) → ¬ProvedToBeFalse(x)) ", " Science-fiction(dune) ∨ ProvedToBeFalse(dune)" ]

[ "An American superhero comes from either DC universe or Marvel universe.", "Captain America is a superhero.", "Captain America is an American.", "Captain America does not come from DC universe.", "If a superhero is American, he speaks English.", "A superhero speaks English or Spanish." ]

[ "∀x (Superhero(x) ∧ American(x) → (ComeFrom(x, dc universe) ⊕ ComeFrom(x, marvel universe))) ", " Superhero(captain america) ", " American(captain america) ", " ¬ComeFrom(captain america, dc universe) ", " ∀x (Superhero(x) ∧ American(x) → Speak(x, english)) ", " ∀x (Superhero(x) → (Speak(x, english) ∨ Speak(x, spanish)))" ]

[ "An American superhero comes from either DC universe or Marvel universe.", "Captain America is a superhero.", "Captain America is an American.", "Captain America does not come from DC universe.", "If a superhero is American, he speaks English.", "A superhero speaks English or Spanish." ]

[ "∀x (Superhero(x) ∧ American(x) → (ComeFrom(x, dc universe) ⊕ ComeFrom(x, marvel universe))) ", " Superhero(captain america) ", " American(captain america) ", " ¬ComeFrom(captain america, dc universe) ", " ∀x (Superhero(x) ∧ American(x) → Speak(x, english)) ", " ∀x (Superhero(x) → (Speak(x, english) ∨ Speak(x, spanish)))" ]

[ "An American superhero comes from either DC universe or Marvel universe.", "Captain America is a superhero.", "Captain America is an American.", "Captain America does not come from DC universe.", "If a superhero is American, he speaks English.", "A superhero speaks English or Spanish." ]

[ "∀x (Superhero(x) ∧ American(x) → (ComeFrom(x, dc universe) ⊕ ComeFrom(x, marvel universe))) ", " Superhero(captain america) ", " American(captain america) ", " ¬ComeFrom(captain america, dc universe) ", " ∀x (Superhero(x) ∧ American(x) → Speak(x, english)) ", " ∀x (Superhero(x) → (Speak(x, english) ∨ Speak(x, spanish)))" ]

[ "Robert Zimmer was born in Germany.", "Robert Zimmer is an essayist.", "Robert Zimmer was born in 1953.", "Every essayist is a writer.", "Every person born in Germany is German." ]

[ "BornInGermany(robertZimmer)", "IsEssayist(robertZimmer)", "BornIn(robertZimmer, year1953)", "∀x (IsEssayist(x) → IsWriter(x))", "∀x (BornInGermany(x) → IsGerman(x))" ]

[ "Robert Zimmer was born in Germany.", "Robert Zimmer is an essayist.", "Robert Zimmer was born in 1953.", "Every essayist is a writer.", "Every person born in Germany is German." ]

[ "BornInGermany(robertZimmer)", "IsEssayist(robertZimmer)", "BornIn(robertZimmer, year1953)", "∀x (IsEssayist(x) → IsWriter(x))", "∀x (BornInGermany(x) → IsGerman(x))" ]

[ "Robert Zimmer was born in Germany.", "Robert Zimmer is an essayist.", "Robert Zimmer was born in 1953.", "Every essayist is a writer.", "Every person born in Germany is German." ]

[ "BornInGermany(robertZimmer)", "IsEssayist(robertZimmer)", "BornIn(robertZimmer, year1953)", "∀x (IsEssayist(x) → IsWriter(x))", "∀x (BornInGermany(x) → IsGerman(x))" ]

[ "All people who repay their loans on time have a high credit score.", "Some people with high credit scores and high salaries are approved for mortgages.", "John has a high salary." ]

[ "∀x (Repay(x) → HighCreditScore(x))", "∃x ((HighCreditScore(x) ∧ HighSalary(x)) → Mortgage(x))", "HighSalary(john)" ]

[ "All students are members of the university.", "All graduate students are students.", "All PhD students are graduate students.", "Some PhD students have high IQs.", "If John is not a PhD student, then he is not a member of the university.", "If John has a high IQ, then he is a PhD student or a graduate student." ]

[ "∀x (Student(x) → MemberOfUniversity(x))", "∀x (GraduateStudent(x) → Student(x))", "∀x (PhDStudent(x) → GraduateStudent(x))", "∃x (PhDStudent(x) ∧ HighIQ(x))", "¬PhDStudent(john) → ¬MemberOfUniversity(john)", "HighIQ(john) → PhDStudent(john) ⊕ GraduateStudent(john)" ]

[ "All students are members of the university.", "All graduate students are students.", "All PhD students are graduate students.", "Some PhD students have high IQs.", "If John is not a PhD student, then he is not a member of the university.", "If John has a high IQ, then he is a PhD student or a graduate student." ]

[ "∀x (Student(x) → MemberOfUniversity(x))", "∀x (GraduateStudent(x) → Student(x))", "∀x (PhDStudent(x) → GraduateStudent(x))", "∃x (PhDStudent(x) ∧ HighIQ(x))", "¬PhDStudent(john) → ¬MemberOfUniversity(john)", "HighIQ(john) → PhDStudent(john) ⊕ GraduateStudent(john)" ]

[ "All students are members of the university.", "All graduate students are students.", "All PhD students are graduate students.", "Some PhD students have high IQs.", "If John is not a PhD student, then he is not a member of the university.", "If John has a high IQ, then he is a PhD student or a graduate student." ]

[ "∀x (Student(x) → MemberOfUniversity(x))", "∀x (GraduateStudent(x) → Student(x))", "∀x (PhDStudent(x) → GraduateStudent(x))", "∃x (PhDStudent(x) ∧ HighIQ(x))", "¬PhDStudent(john) → ¬MemberOfUniversity(john)", "HighIQ(john) → PhDStudent(john) ⊕ GraduateStudent(john)" ]

[ "Belgium, France and Germany are European countries.", "Paris is the capital of France.", "The Eiffel Tower is one of the main tourist attractions located in Paris.", "Some people who live in Belgium speak French.", "If John goes to Europe, he will see some tourist attractions.", "John speaks French." ]

[ "EuropeanCountry(belgium) ∨ EuropeanCountry(france) ∨ EuropeanCountry(germany)", "CapitalOf(paris, france)", "TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris)", "∃x (LiveIn(x, belgium) → Speak(x, french))", "∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x)))", "Speak(john, french)" ]

[ "Belgium, France and Germany are European countries.", "Paris is the capital of France.", "The Eiffel Tower is one of the main tourist attractions located in Paris.", "Some people who live in Belgium speak French.", "If John goes to Europe, he will see some tourist attractions.", "John speaks French." ]

[ "EuropeanCountry(belgium) ∨ EuropeanCountry(france) ∨ EuropeanCountry(germany)", "CapitalOf(paris, france)", "TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris)", "∃x (LiveIn(x, belgium) → Speak(x, french))", "∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x)))", "Speak(john, french)" ]

[ "Belgium, France and Germany are European countries.", "Paris is the capital of France.", "The Eiffel Tower is one of the main tourist attractions located in Paris.", "Some people who live in Belgium speak French.", "If John goes to Europe, he will see some tourist attractions.", "John speaks French." ]

[ "EuropeanCountry(belgium) ∨ EuropeanCountry(france) ∨ EuropeanCountry(germany)", "CapitalOf(paris, france)", "TouristAttraction(eiffelTower) ∧ LocatedIn(eiffelTower, paris)", "∃x (LiveIn(x, belgium) → Speak(x, french))", "∃x (GoTo(john, europe) → (See(john, x) ∧ TouristAttraction(x)))", "Speak(john, french)" ]

[ "All sports cars are loud.", "No loud cars are electric.", "If a car is a Ferrari, then it is a sports car.", "All cars made in Maranello are Ferrari", "If Prius is neither a sports car nor a loud car, then Prius is a Maranello-made car or a loud car." ]

[ "∀x (SportsCar(x) → LoudCar(x))", "∀x (LoudCar(x) → ¬ElectricCar(x))", "∀x (Ferrari(x) → SportsCar(x))", "∀x (MadeInMaranello(x) → Ferrari(x))", "∀x (¬SportsCar(prius) ∨ ¬LoudCar(prius) → MadeInMaranello(prius) ∨ LoudCar(prius))" ]

[ "All sports cars are loud.", "No loud cars are electric.", "If a car is a Ferrari, then it is a sports car.", "All cars made in Maranello are Ferrari", "If Prius is neither a sports car nor a loud car, then Prius is a Maranello-made car or a loud car." ]

[ "∀x (SportsCar(x) → LoudCar(x))", "∀x (LoudCar(x) → ¬ElectricCar(x))", "∀x (Ferrari(x) → SportsCar(x))", "∀x (MadeInMaranello(x) → Ferrari(x))", "∀x (¬SportsCar(prius) ∨ ¬LoudCar(prius) → MadeInMaranello(prius) ∨ LoudCar(prius))" ]

[ "All sports cars are loud.", "No loud cars are electric.", "If a car is a Ferrari, then it is a sports car.", "All cars made in Maranello are Ferrari", "If Prius is neither a sports car nor a loud car, then Prius is a Maranello-made car or a loud car." ]

[ "∀x (SportsCar(x) → LoudCar(x))", "∀x (LoudCar(x) → ¬ElectricCar(x))", "∀x (Ferrari(x) → SportsCar(x))", "∀x (MadeInMaranello(x) → Ferrari(x))", "∀x (¬SportsCar(prius) ∨ ¬LoudCar(prius) → MadeInMaranello(prius) ∨ LoudCar(prius))" ]

[ "All sports cars are loud.", "No loud cars are electric.", "If a car is a Ferrari, then it is a sports car.", "All cars made in Maranello are Ferrari", "If Prius is neither a sports car nor a loud car, then Prius is a Maranello-made car or a loud car." ]

[ "∀x (SportsCar(x) → LoudCar(x))", "∀x (LoudCar(x) → ¬ElectricCar(x))", "∀x (Ferrari(x) → SportsCar(x))", "∀x (MadeInMaranello(x) → Ferrari(x))", "∀x (¬SportsCar(prius) ∨ ¬LoudCar(prius) → MadeInMaranello(prius) ∨ LoudCar(prius))" ]

[ "If something is a plant, then it is not a cute animal.", "All flowers are plants.", "Every kitten is a cute animal.", "If something is grown in a garden, then it is a flower.", "Piper is a kitten or a cute animal." ]

[ "∀x (Plant(x) → ¬CuteAnimal(x))", "∀x (Flower(x) → Plant(x))", "∀x (Kitten(x) → CuteAnimal(x))", "∀x (GrownInGarden(x) → Flower(x))", "Kitten(piper) ∨ CuteAnimal(piper)" ]

[ "If something is a plant, then it is not a cute animal.", "All flowers are plants.", "Every kitten is a cute animal.", "If something is grown in a garden, then it is a flower.", "Piper is a kitten or a cute animal." ]

[ "∀x (Plant(x) → ¬CuteAnimal(x))", "∀x (Flower(x) → Plant(x))", "∀x (Kitten(x) → CuteAnimal(x))", "∀x (GrownInGarden(x) → Flower(x))", "Kitten(piper) ∨ CuteAnimal(piper)" ]

[ "If something is a plant, then it is not a cute animal.", "All flowers are plants.", "Every kitten is a cute animal.", "If something is grown in a garden, then it is a flower.", "Piper is a kitten or a cute animal." ]

[ "∀x (Plant(x) → ¬CuteAnimal(x))", "∀x (Flower(x) → Plant(x))", "∀x (Kitten(x) → CuteAnimal(x))", "∀x (GrownInGarden(x) → Flower(x))", "Kitten(piper) ∨ CuteAnimal(piper)" ]

[ "Guam has participated in the Winter Olympics.", "In 1988, the Winter Olympics were held in Calgary.", "Guam sent an athlete to the Calgary Winter Olympics.", "If Guan sent an athlete to the Calgary Winter Olympics, then it participated in the Calgary Winter Olympics.", "Judd Bankert is the only athlete from Guam who has ever competed in the Winter Olympics." ]

[ "ParticipatedIn(guam, winterolympics)", "Year(y1988) → BeHeld(winterolympics, calgary)", "BeHeld(winterolympics, calgary) → SendAthletes(guam)", "SendAthletes(guam) → ParticipatedIn(guam, winterolympics)", "BeFrom(bankert, guam) ∧ ParticipatedIn(bankert, winterolympics)" ]

[ "Guam has participated in the Winter Olympics.", "In 1988, the Winter Olympics were held in Calgary.", "Guam sent an athlete to the Calgary Winter Olympics.", "If Guan sent an athlete to the Calgary Winter Olympics, then it participated in the Calgary Winter Olympics.", "Judd Bankert is the only athlete from Guam who has ever competed in the Winter Olympics." ]

[ "ParticipatedIn(guam, winterolympics)", "Year(y1988) → BeHeld(winterolympics, calgary)", "BeHeld(winterolympics, calgary) → SendAthletes(guam)", "SendAthletes(guam) → ParticipatedIn(guam, winterolympics)", "BeFrom(bankert, guam) ∧ ParticipatedIn(bankert, winterolympics)" ]

[ "Michael O'Donnell is a British physician, journalist, author and broadcaster.", "One of the word-setters of My Word! was Michael O'Donnell.", "The magazine World Medicine was edited by Michael O'Donnell.", "Michael O'Donnell was born in Yorkshire as the son of a general practitioner." ]

[ "British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)", "WordSetter(michael)", "Magazine(worldmedicine) ∧ EditedBy(worldmedicine, michael)", "∃x (BornIn(michael, yorkshire) ∧ Son(michael, x) ∧ GeneralPractitioner(x))" ]

[ "Michael O'Donnell is a British physician, journalist, author and broadcaster.", "One of the word-setters of My Word! was Michael O'Donnell.", "The magazine World Medicine was edited by Michael O'Donnell.", "Michael O'Donnell was born in Yorkshire as the son of a general practitioner." ]

[ "British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)", "WordSetter(michael)", "Magazine(worldmedicine) ∧ EditedBy(worldmedicine, michael)", "∃x (BornIn(michael, yorkshire) ∧ Son(michael, x) ∧ GeneralPractitioner(x))" ]

[ "Michael O'Donnell is a British physician, journalist, author and broadcaster.", "One of the word-setters of My Word! was Michael O'Donnell.", "The magazine World Medicine was edited by Michael O'Donnell.", "Michael O'Donnell was born in Yorkshire as the son of a general practitioner." ]

[ "British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)", "WordSetter(michael)", "Magazine(worldmedicine) ∧ EditedBy(worldmedicine, michael)", "∃x (BornIn(michael, yorkshire) ∧ Son(michael, x) ∧ GeneralPractitioner(x))" ]

[ "Michael O'Donnell is a British physician, journalist, author and broadcaster.", "One of the word-setters of My Word! was Michael O'Donnell.", "The magazine World Medicine was edited by Michael O'Donnell.", "Michael O'Donnell was born in Yorkshire as the son of a general practitioner." ]

[ "British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)", "WordSetter(michael)", "Magazine(worldmedicine) ∧ EditedBy(worldmedicine, michael)", "∃x (BornIn(michael, yorkshire) ∧ Son(michael, x) ∧ GeneralPractitioner(x))" ]

[ "Michael O'Donnell is a British physician, journalist, author and broadcaster.", "One of the word-setters of My Word! was Michael O'Donnell.", "The magazine World Medicine was edited by Michael O'Donnell.", "Michael O'Donnell was born in Yorkshire as the son of a general practitioner." ]

[ "British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)", "WordSetter(michael)", "Magazine(worldmedicine) ∧ EditedBy(worldmedicine, michael)", "∃x (BornIn(michael, yorkshire) ∧ Son(michael, x) ∧ GeneralPractitioner(x))" ]

[ "No homework is fun.", "Some reading is homework." ]

[ "∀x (Homework(x) → ¬IsFun(x))", "∃x (IsReading(x) ∧ Homework(x))" ]

[ "If violence is good, it is justified.", "If something is justified, it is lawful." ]

[ "∀x ((Violence(x) ∧ Good(x)) → Justified(x))", "∀x (Justified(x) → Lawful(x))" ]

[ "All people who have a horse ranch regularly ride horses for pleasure and sport.", "All people who have a lot of disposable income have a horse ranch.", "If people compete in horse dressage shows, then they have a lot of disposable income.", "If people compete in horse dressage shows, then they have invested in high-quality equestrian gear and equipment.", "If people regularly ride horses for pleasure and sport, then they do not live in cramped residential buildings.", "Manny either has a horse ranch and lives in cramped residential buildings, or he neither has a horse ranch nor lives in cramped residential buildings." ]

[ "∀x (Ranch(x) → RegularlyRide(x))", "∀x (DisposableIncome(x) → Ranch(x))", "∀x (Compete(x) → DisposableIncome(x))", "∀x (Compete(x) → Invested(x))", "∀x (RegularlyRide(x) → ¬Cramped(x))", "(Ranch(manny) ∧ Cramped(manny)) ⊕ (¬Ranch(manny) ∧ ¬Cramped(manny))" ]

[ "All people who have a horse ranch regularly ride horses for pleasure and sport.", "All people who have a lot of disposable income have a horse ranch.", "If people compete in horse dressage shows, then they have a lot of disposable income.", "If people compete in horse dressage shows, then they have invested in high-quality equestrian gear and equipment.", "If people regularly ride horses for pleasure and sport, then they do not live in cramped residential buildings.", "Manny either has a horse ranch and lives in cramped residential buildings, or he neither has a horse ranch nor lives in cramped residential buildings." ]

[ "∀x (Ranch(x) → RegularlyRide(x))", "∀x (DisposableIncome(x) → Ranch(x))", "∀x (Compete(x) → DisposableIncome(x))", "∀x (Compete(x) → Invested(x))", "∀x (RegularlyRide(x) → ¬Cramped(x))", "(Ranch(manny) ∧ Cramped(manny)) ⊕ (¬Ranch(manny) ∧ ¬Cramped(manny))" ]

[ "All people who have a horse ranch regularly ride horses for pleasure and sport.", "All people who have a lot of disposable income have a horse ranch.", "If people compete in horse dressage shows, then they have a lot of disposable income.", "If people compete in horse dressage shows, then they have invested in high-quality equestrian gear and equipment.", "If people regularly ride horses for pleasure and sport, then they do not live in cramped residential buildings.", "Manny either has a horse ranch and lives in cramped residential buildings, or he neither has a horse ranch nor lives in cramped residential buildings." ]

[ "∀x (Ranch(x) → RegularlyRide(x))", "∀x (DisposableIncome(x) → Ranch(x))", "∀x (Compete(x) → DisposableIncome(x))", "∀x (Compete(x) → Invested(x))", "∀x (RegularlyRide(x) → ¬Cramped(x))", "(Ranch(manny) ∧ Cramped(manny)) ⊕ (¬Ranch(manny) ∧ ¬Cramped(manny))" ]

[ "A roundel is a rounded artillery fortification.", "A roundel is not higher than adjacent walls. ", "Cannons can be deployed on artillery fortifications. ", "Roundels are the oldest artillery fortifications.", "Battery towers are an artillery fortification." ]

[ "∀x (Roundel(x) → Rounded(x) ∧ ArtilleryFortification(x))", "∀x ∀y (Roundel(x) ∧ AdjacentWall(y) → ¬Higher(x, y))", "∀x (ArtilleryFortification(x) → DeployCannons(x))", "∀x ∀y (Roundel(x) ∧ ArtilleryFortification(x) ∧ ArtilleryFortification(y) → Older(x, y))", "∀x (BatteryTower(x) → ArtilleryFortification(x))" ]

[ "A roundel is a rounded artillery fortification.", "A roundel is not higher than adjacent walls. ", "Cannons can be deployed on artillery fortifications. ", "Roundels are the oldest artillery fortifications.", "Battery towers are an artillery fortification." ]

[ "∀x (Roundel(x) → Rounded(x) ∧ ArtilleryFortification(x))", "∀x ∀y (Roundel(x) ∧ AdjacentWall(y) → ¬Higher(x, y))", "∀x (ArtilleryFortification(x) → DeployCannons(x))", "∀x ∀y (Roundel(x) ∧ ArtilleryFortification(x) ∧ ArtilleryFortification(y) → Older(x, y))", "∀x (BatteryTower(x) → ArtilleryFortification(x))" ]

[ "A roundel is a rounded artillery fortification.", "A roundel is not higher than adjacent walls. ", "Cannons can be deployed on artillery fortifications. ", "Roundels are the oldest artillery fortifications.", "Battery towers are an artillery fortification." ]

[ "∀x (Roundel(x) → Rounded(x) ∧ ArtilleryFortification(x))", "∀x ∀y (Roundel(x) ∧ AdjacentWall(y) → ¬Higher(x, y))", "∀x (ArtilleryFortification(x) → DeployCannons(x))", "∀x ∀y (Roundel(x) ∧ ArtilleryFortification(x) ∧ ArtilleryFortification(y) → Older(x, y))", "∀x (BatteryTower(x) → ArtilleryFortification(x))" ]

[ "A roundel is a rounded artillery fortification.", "A roundel is not higher than adjacent walls. ", "Cannons can be deployed on artillery fortifications. ", "Roundels are the oldest artillery fortifications.", "Battery towers are an artillery fortification." ]

[ "∀x (Roundel(x) → Rounded(x) ∧ ArtilleryFortification(x))", "∀x ∀y (Roundel(x) ∧ AdjacentWall(y) → ¬Higher(x, y))", "∀x (ArtilleryFortification(x) → DeployCannons(x))", "∀x ∀y (Roundel(x) ∧ ArtilleryFortification(x) ∧ ArtilleryFortification(y) → Older(x, y))", "∀x (BatteryTower(x) → ArtilleryFortification(x))" ]

[ "All tissues are soft.", "Some papers are tissues." ]

[ "∀x (Tissue(x) → Soft(x))", "∃x (Paper(x) ∧ Tissue(x))" ]

[ "All volunteers receive intangible benefits for their work.", "Volunteers work regularly or on an as-needed basis.", "Some volunteers are trained.", "Volunteers work in groups or individually.", "Environmental volunteers contribute toward environmental management or conservation.", "Participating in natural disaster response is an example of volunteers working in groups on an as-needed basis." ]

[ "∀x (Volunteer(x) → GetIntangibleBenefits(x))", "∀x (Volunteer(x) → WorkRegularly(x) ∨ WorkAsNeeded(x))", "∃x (Volunteer(x) → Trained(x))", "∀x (Volunteer(x) → (WorkInGroup(x) ∨ WorkIndividually(x)))", "∀x (Volunteer(x) ∧ Environmental(x) → (ContributeTo(x, environmentalmanagement) ∨ ContributeTo(x, environmentalconservation)))", "∃x (Volunteer(x) ∧ ContributeTo(x, naturaldisasterresponse) → WorkInGroup(x) ∧ WorkAsNeeded(x))" ]

[ "All volunteers receive intangible benefits for their work.", "Volunteers work regularly or on an as-needed basis.", "Some volunteers are trained.", "Volunteers work in groups or individually.", "Environmental volunteers contribute toward environmental management or conservation.", "Participating in natural disaster response is an example of volunteers working in groups on an as-needed basis." ]

[ "∀x (Volunteer(x) → GetIntangibleBenefits(x))", "∀x (Volunteer(x) → WorkRegularly(x) ∨ WorkAsNeeded(x))", "∃x (Volunteer(x) → Trained(x))", "∀x (Volunteer(x) → (WorkInGroup(x) ∨ WorkIndividually(x)))", "∀x (Volunteer(x) ∧ Environmental(x) → (ContributeTo(x, environmentalmanagement) ∨ ContributeTo(x, environmentalconservation)))", "∃x (Volunteer(x) ∧ ContributeTo(x, naturaldisasterresponse) → WorkInGroup(x) ∧ WorkAsNeeded(x))" ]

[ "All volunteers receive intangible benefits for their work.", "Volunteers work regularly or on an as-needed basis.", "Some volunteers are trained.", "Volunteers work in groups or individually.", "Environmental volunteers contribute toward environmental management or conservation.", "Participating in natural disaster response is an example of volunteers working in groups on an as-needed basis." ]

[ "∀x (Volunteer(x) → GetIntangibleBenefits(x))", "∀x (Volunteer(x) → WorkRegularly(x) ∨ WorkAsNeeded(x))", "∃x (Volunteer(x) → Trained(x))", "∀x (Volunteer(x) → (WorkInGroup(x) ∨ WorkIndividually(x)))", "∀x (Volunteer(x) ∧ Environmental(x) → (ContributeTo(x, environmentalmanagement) ∨ ContributeTo(x, environmentalconservation)))", "∃x (Volunteer(x) ∧ ContributeTo(x, naturaldisasterresponse) → WorkInGroup(x) ∧ WorkAsNeeded(x))" ]

[ "All people who are very consistent and enjoy sticking to their regular routines do not like surprises.", "If people wear flannel shirts every day, then they are very consistent and enjoy sticking to their regular routines.", "If people do not like shopping for clothes and other materialistic goods, then they wear flannel shirts every day.", "All old people living in stable homes do not like surprises.", "If people have very high energy and are impulsive, then they like surprises.", "If Mike is not a person who wears flannel shirts every day and has very high energy and is impulsive, then Mike either is very consistent and enjoys sticking to his regular routines or does not like surprises." ]

[ "∀x (Consistent(x) → NoSurprises(x))", "∀x (Flannel(x) → Consistent(x))", "∀x (NoShopping(x) → Flannel(x))", "∀x (Old(x) → NoSurprises(x))", "∀x (Impulsive(x) → ¬NoSurprises(x))", "¬(NoSurprises(mike) ∧ Impulsive(mike)) → Consistent(mike) ⊕ NoSurprises(mike)" ]

[ "All people who are very consistent and enjoy sticking to their regular routines do not like surprises.", "If people wear flannel shirts every day, then they are very consistent and enjoy sticking to their regular routines.", "If people do not like shopping for clothes and other materialistic goods, then they wear flannel shirts every day.", "All old people living in stable homes do not like surprises.", "If people have very high energy and are impulsive, then they like surprises.", "If Mike is not a person who wears flannel shirts every day and has very high energy and is impulsive, then Mike either is very consistent and enjoys sticking to his regular routines or does not like surprises." ]

[ "∀x (Consistent(x) → NoSurprises(x))", "∀x (Flannel(x) → Consistent(x))", "∀x (NoShopping(x) → Flannel(x))", "∀x (Old(x) → NoSurprises(x))", "∀x (Impulsive(x) → ¬NoSurprises(x))", "¬(NoSurprises(mike) ∧ Impulsive(mike)) → Consistent(mike) ⊕ NoSurprises(mike)" ]

[ "All people who are very consistent and enjoy sticking to their regular routines do not like surprises.", "If people wear flannel shirts every day, then they are very consistent and enjoy sticking to their regular routines.", "If people do not like shopping for clothes and other materialistic goods, then they wear flannel shirts every day.", "All old people living in stable homes do not like surprises.", "If people have very high energy and are impulsive, then they like surprises.", "If Mike is not a person who wears flannel shirts every day and has very high energy and is impulsive, then Mike either is very consistent and enjoys sticking to his regular routines or does not like surprises." ]

[ "∀x (Consistent(x) → NoSurprises(x))", "∀x (Flannel(x) → Consistent(x))", "∀x (NoShopping(x) → Flannel(x))", "∀x (Old(x) → NoSurprises(x))", "∀x (Impulsive(x) → ¬NoSurprises(x))", "¬(NoSurprises(mike) ∧ Impulsive(mike)) → Consistent(mike) ⊕ NoSurprises(mike)" ]

[ "Adam owns cars.", "Adam has a favorite car.", "Among the cars he owns, Adam's favorite car is European.", "Adam broke his favorite car." ]

[ "∃x (Owns(adam, x))", "∃x (Favorite(adam, x))", "∀x ((Owns(adam, x) ∧ Favorite(adam, x)) → European(x))", "∀x ((Owns(adam, x) ∧ Favorite(adam, x)) → Broke(adam, x))" ]

[ "Adam owns cars.", "Adam has a favorite car.", "Among the cars he owns, Adam's favorite car is European.", "Adam broke his favorite car." ]

[ "∃x (Owns(adam, x))", "∃x (Favorite(adam, x))", "∀x ((Owns(adam, x) ∧ Favorite(adam, x)) → European(x))", "∀x ((Owns(adam, x) ∧ Favorite(adam, x)) → Broke(adam, x))" ]

[ "No buildings in New Haven are higher than 400 meters. ", "All buildings managed by Yale Housing are in New Haven. ", "All buildings in Manhattan are higher than 400 meters. ", "All buildings owned by Bloomberg are in Manhattan. ", "All buildings with the Bloomberg logo are buildings owned by Bloomberg. ", "Tower A is neither in New Haven nor in Manhattan.", "Tower B is a building with the Bloomberg logo and in Manhattan. " ]

[ "∀x (NewHaven(x) → ¬High(x))", "∀x (YaleHousing(x) → NewHaven(x))", "∀x (Manhattan(x) → High(x))", "∀x (Bloomberg(x) → Manhattan(x))", "∀x (BloombergLogo(x) → Bloomberg(x))", "¬(NewHaven(towera) ⊕ Manhattan(towera))", "BloombergLogo(towerb) ∧ Manhattan(towerb)" ]

[ "No buildings in New Haven are higher than 400 meters. ", "All buildings managed by Yale Housing are in New Haven. ", "All buildings in Manhattan are higher than 400 meters. ", "All buildings owned by Bloomberg are in Manhattan. ", "All buildings with the Bloomberg logo are buildings owned by Bloomberg. ", "Tower A is neither in New Haven nor in Manhattan.", "Tower B is a building with the Bloomberg logo and in Manhattan. " ]

[ "∀x (NewHaven(x) → ¬High(x))", "∀x (YaleHousing(x) → NewHaven(x))", "∀x (Manhattan(x) → High(x))", "∀x (Bloomberg(x) → Manhattan(x))", "∀x (BloombergLogo(x) → Bloomberg(x))", "¬(NewHaven(towera) ⊕ Manhattan(towera))", "BloombergLogo(towerb) ∧ Manhattan(towerb)" ]

[ "No buildings in New Haven are higher than 400 meters. ", "All buildings managed by Yale Housing are in New Haven. ", "All buildings in Manhattan are higher than 400 meters. ", "All buildings owned by Bloomberg are in Manhattan. ", "All buildings with the Bloomberg logo are buildings owned by Bloomberg. ", "Tower A is neither in New Haven nor in Manhattan.", "Tower B is a building with the Bloomberg logo and in Manhattan. " ]

[ "∀x (NewHaven(x) → ¬High(x))", "∀x (YaleHousing(x) → NewHaven(x))", "∀x (Manhattan(x) → High(x))", "∀x (Bloomberg(x) → Manhattan(x))", "∀x (BloombergLogo(x) → Bloomberg(x))", "¬(NewHaven(towera) ⊕ Manhattan(towera))", "BloombergLogo(towerb) ∧ Manhattan(towerb)" ]

[ "No buildings in New Haven are higher than 400 meters. ", "All buildings managed by Yale Housing are in New Haven. ", "All buildings in Manhattan are higher than 400 meters. ", "All buildings owned by Bloomberg are in Manhattan. ", "All buildings with the Bloomberg logo are buildings owned by Bloomberg. ", "Tower A is neither in New Haven nor in Manhattan.", "Tower B is a building with the Bloomberg logo and in Manhattan. " ]

[ "∀x (NewHaven(x) → ¬High(x))", "∀x (YaleHousing(x) → NewHaven(x))", "∀x (Manhattan(x) → High(x))", "∀x (Bloomberg(x) → Manhattan(x))", "∀x (BloombergLogo(x) → Bloomberg(x))", "¬(NewHaven(towera) ⊕ Manhattan(towera))", "BloombergLogo(towerb) ∧ Manhattan(towerb)" ]

[ "No fish are birds.", "Everything that is an osprey is a bird.", "If something is a carp, then it is a fish.", "All goldfish are carp.", "If Bubbles is either an osprey or a goldfish, then Bubbles is not a fish." ]

[ "∀x (Fish(x) → ¬Bird(x))", "∀x (Osprey(x) → Bird(x))", "∀x (Carp(x) → Fish(x))", "∀x (Goldfish(x) → Carp(x))", "Osprey(bubbles) ⊕ Carp(bubbles) → ¬Fish(bubbles)" ]

[ "No fish are birds.", "Everything that is an osprey is a bird.", "If something is a carp, then it is a fish.", "All goldfish are carp.", "If Bubbles is either an osprey or a goldfish, then Bubbles is not a fish." ]

[ "∀x (Fish(x) → ¬Bird(x))", "∀x (Osprey(x) → Bird(x))", "∀x (Carp(x) → Fish(x))", "∀x (Goldfish(x) → Carp(x))", "Osprey(bubbles) ⊕ Carp(bubbles) → ¬Fish(bubbles)" ]

[ "No fish are birds.", "Everything that is an osprey is a bird.", "If something is a carp, then it is a fish.", "All goldfish are carp.", "If Bubbles is either an osprey or a goldfish, then Bubbles is not a fish." ]

[ "∀x (Fish(x) → ¬Bird(x))", "∀x (Osprey(x) → Bird(x))", "∀x (Carp(x) → Fish(x))", "∀x (Goldfish(x) → Carp(x))", "Osprey(bubbles) ⊕ Carp(bubbles) → ¬Fish(bubbles)" ]

[ "Mr. and Mrs. Smith make a travel plan, they want to go to a city in California or Florida, and where neither of them has ever been.", "Cities in California that they are interested in are San Francisco, Los Angeles, and San Diego.", "Cities in Florida that they are interested in are Orlando and Miami.", "Mr. Smith has been to two cities in California.", "Mrs. Smith has been to one city in Florida." ]

[ "∀x (WantToGo(x) → (California(x) ∨ Florida(x)) ∧ (NeverGo(x)))", "∀x (((SanFrancisco(x) ∨ LosAngeles(x) ∨ SanDiego(x)) ∧ California(x)) → WantToGo(x))", "∀x ((Orlando(x) ∨ Miami(x)) ∧ Florida(x)) → WantToGo(x))", "CaliforniaCityVisited(mr.smith, two)", "FloridaCityVisited(mrs.smith, one)" ]

[ "Mr. and Mrs. Smith make a travel plan, they want to go to a city in California or Florida, and where neither of them has ever been.", "Cities in California that they are interested in are San Francisco, Los Angeles, and San Diego.", "Cities in Florida that they are interested in are Orlando and Miami.", "Mr. Smith has been to two cities in California.", "Mrs. Smith has been to one city in Florida." ]

[ "∀x (WantToGo(x) → (California(x) ∨ Florida(x)) ∧ (NeverGo(x)))", "∀x (((SanFrancisco(x) ∨ LosAngeles(x) ∨ SanDiego(x)) ∧ California(x)) → WantToGo(x))", "∀x ((Orlando(x) ∨ Miami(x)) ∧ Florida(x)) → WantToGo(x))", "CaliforniaCityVisited(mr.smith, two)", "FloridaCityVisited(mrs.smith, one)" ]

[ "Mr. and Mrs. Smith make a travel plan, they want to go to a city in California or Florida, and where neither of them has ever been.", "Cities in California that they are interested in are San Francisco, Los Angeles, and San Diego.", "Cities in Florida that they are interested in are Orlando and Miami.", "Mr. Smith has been to two cities in California.", "Mrs. Smith has been to one city in Florida." ]

[ "∀x (WantToGo(x) → (California(x) ∨ Florida(x)) ∧ (NeverGo(x)))", "∀x (((SanFrancisco(x) ∨ LosAngeles(x) ∨ SanDiego(x)) ∧ California(x)) → WantToGo(x))", "∀x ((Orlando(x) ∨ Miami(x)) ∧ Florida(x)) → WantToGo(x))", "CaliforniaCityVisited(mr.smith, two)", "FloridaCityVisited(mrs.smith, one)" ]