Datasets:

minimario

/

FOLIO

like 1

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "Everything is either big or small.", "All big things are heavy. ", "All small things are light. ", "All heavy things are still.", "All light things are unstable.", "All unstable things are changing.", "All unstable things are kinetic. ", "A bird is not both heavy and still." ]

[ "∀x (Big(x) ⊕ Small(x))", "∀x (Big(x) → Heavy(x))", "∀x (Small(x) → Light(x))", "∀x (Heavy(x) → Still(x))", "∀x (Light(x) → Unstable(x))", "∀x (Unstable(x) → Changing(x))", "∀x (Unstable(x) → Kinetic(x))", "¬(Heavy(bird) ∧ Still(bird))" ]

[ "DI Ray is a police procedural television series.", "DI Ray was created and written by Maya Sondhi.", "DI Ray was produced by Jed Mercurio.", "Maya Sondhi and Jed Mercurio are both British." ]

[ "TelevisionSeries(diRay)", "Create(maya, diRay) ∧ Write(maya, diRay)", "Produce(jed, diRay)", "British(maya) ∧ British(jed) " ]

[ "DI Ray is a police procedural television series.", "DI Ray was created and written by Maya Sondhi.", "DI Ray was produced by Jed Mercurio.", "Maya Sondhi and Jed Mercurio are both British." ]

[ "TelevisionSeries(diRay)", "Create(maya, diRay) ∧ Write(maya, diRay)", "Produce(jed, diRay)", "British(maya) ∧ British(jed) " ]

[ "All men are human.", "All gentlemen are men.", "All lawyers are gentlemen.", "All women are human.", "No sheep are human.", "If Mike is not both a human and a sheep, then Mike is either a man or a human." ]

[ "∀x (Man(x) → Human(x))", "∀x (Gentleman(x) → Man(x))", "∀x (Lawyer(x) → Gentleman(x))", "∀x (Woman(x) → Human(x))", "∀x (Sheep(x) → ¬Human(x))", "(¬Human(mike) ∨ ¬Sheep(mike)) → Man(mike) ⊕ Human(mike)" ]

[ "All men are human.", "All gentlemen are men.", "All lawyers are gentlemen.", "All women are human.", "No sheep are human.", "If Mike is not both a human and a sheep, then Mike is either a man or a human." ]

[ "∀x (Man(x) → Human(x))", "∀x (Gentleman(x) → Man(x))", "∀x (Lawyer(x) → Gentleman(x))", "∀x (Woman(x) → Human(x))", "∀x (Sheep(x) → ¬Human(x))", "(¬Human(mike) ∨ ¬Sheep(mike)) → Man(mike) ⊕ Human(mike)" ]

[ "All men are human.", "All gentlemen are men.", "All lawyers are gentlemen.", "All women are human.", "No sheep are human.", "If Mike is not both a human and a sheep, then Mike is either a man or a human." ]

[ "∀x (Man(x) → Human(x))", "∀x (Gentleman(x) → Man(x))", "∀x (Lawyer(x) → Gentleman(x))", "∀x (Woman(x) → Human(x))", "∀x (Sheep(x) → ¬Human(x))", "(¬Human(mike) ∨ ¬Sheep(mike)) → Man(mike) ⊕ Human(mike)" ]

[ "Some defenders are centerback.", "All defenders are soccer players.", "No soccer players are professional basketball players.", "All NBA players are professional basketball players.", "Stephen Curry is an NBA player." ]

[ "∃x (Defender(x) ∧ Centerback(x))", "∀x (Defender(x) → SoccerPlayer(x))", "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "NBAPlayer(stephencurry)" ]

[ "Some defenders are centerback.", "All defenders are soccer players.", "No soccer players are professional basketball players.", "All NBA players are professional basketball players.", "Stephen Curry is an NBA player." ]

[ "∃x (Defender(x) ∧ Centerback(x))", "∀x (Defender(x) → SoccerPlayer(x))", "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "NBAPlayer(stephencurry)" ]

[ "Some defenders are centerback.", "All defenders are soccer players.", "No soccer players are professional basketball players.", "All NBA players are professional basketball players.", "Stephen Curry is an NBA player." ]

[ "∃x (Defender(x) ∧ Centerback(x))", "∀x (Defender(x) → SoccerPlayer(x))", "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "NBAPlayer(stephencurry)" ]

[ "If a person doesn't have enough money to buy a product, then that person can't buy it.", "Monitors are products.", "4k monitors are more expensive than 1080 monitors and 2k monitors.", "John is a person.", "John doesn't have enough money to buy a 2k monitor." ]

[ "∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))", "∀x (Monitor(x) → Product(x))", "∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))", "Person(john)", "∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x))" ]

[ "If a person doesn't have enough money to buy a product, then that person can't buy it.", "Monitors are products.", "4k monitors are more expensive than 1080 monitors and 2k monitors.", "John is a person.", "John doesn't have enough money to buy a 2k monitor." ]

[ "∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))", "∀x (Monitor(x) → Product(x))", "∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))", "Person(john)", "∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x))" ]

[ "All artificial satellites are important scientific achievements.", "Some artificial satellites are not U.S. inventions." ]

[ "∀x (ArtificialSatellite(x) → ImportantScientificAchievement(x))", "∃x (ArtificialSatellite(x) ∧ ¬USInvention(x))" ]

[ "Some cats are not pets.", "All cats are mammals." ]

[ "∃x (Cat(x) ∧ ¬Pet(x))", "∀x (Cat(x) → Mammal(x))" ]

[ "If people visit a coffee shop at least three times a week, then they are addicted to coffee or other caffeinated drinks.", "People either visit a coffee shop at least three times a week or order takeout at least once a day.", "If people make a lot of their own food at home using recipes and online guides, then they order takeout at least once a day.", "If people own at least one coffeemaker and one blender in their home, then they do not order takeout at least once a day.", "All people who lead very busy lives that include 12-hour work hours make a lot of their own food at home using recipes and online guides.", "Sam is either both addicted to coffee or other caffeinated drinks or leads very busy lives that include 12-hour work hours, or she is neither addicted to coffee and other caffeinated drinks nor leads very busy lives that include 12-hour work hours" ]

[ "∀x (CoffeeShop(x) → CaffeineAddict(x))", "∀x (CoffeeShop(x) ∨ Takeout(x))", "∀x (MakeFood(x) → Takeout(x))", "∀x (KitchenAppliance(x) → ¬Takeout(x))", "∀x (Busy(x) → MakeFood(x))", "(CaffeineAddict(sam) ∧ Busy(sam)) ⊕ (¬CaffeineAddict(sam) ∧ ¬Busy(sam))" ]

[ "If people visit a coffee shop at least three times a week, then they are addicted to coffee or other caffeinated drinks.", "People either visit a coffee shop at least three times a week or order takeout at least once a day.", "If people make a lot of their own food at home using recipes and online guides, then they order takeout at least once a day.", "If people own at least one coffeemaker and one blender in their home, then they do not order takeout at least once a day.", "All people who lead very busy lives that include 12-hour work hours make a lot of their own food at home using recipes and online guides.", "Sam is either both addicted to coffee or other caffeinated drinks or leads very busy lives that include 12-hour work hours, or she is neither addicted to coffee and other caffeinated drinks nor leads very busy lives that include 12-hour work hours" ]

[ "∀x (CoffeeShop(x) → CaffeineAddict(x))", "∀x (CoffeeShop(x) ∨ Takeout(x))", "∀x (MakeFood(x) → Takeout(x))", "∀x (KitchenAppliance(x) → ¬Takeout(x))", "∀x (Busy(x) → MakeFood(x))", "(CaffeineAddict(sam) ∧ Busy(sam)) ⊕ (¬CaffeineAddict(sam) ∧ ¬Busy(sam))" ]

[ "If people visit a coffee shop at least three times a week, then they are addicted to coffee or other caffeinated drinks.", "People either visit a coffee shop at least three times a week or order takeout at least once a day.", "If people make a lot of their own food at home using recipes and online guides, then they order takeout at least once a day.", "If people own at least one coffeemaker and one blender in their home, then they do not order takeout at least once a day.", "All people who lead very busy lives that include 12-hour work hours make a lot of their own food at home using recipes and online guides.", "Sam is either both addicted to coffee or other caffeinated drinks or leads very busy lives that include 12-hour work hours, or she is neither addicted to coffee and other caffeinated drinks nor leads very busy lives that include 12-hour work hours" ]

[ "∀x (CoffeeShop(x) → CaffeineAddict(x))", "∀x (CoffeeShop(x) ∨ Takeout(x))", "∀x (MakeFood(x) → Takeout(x))", "∀x (KitchenAppliance(x) → ¬Takeout(x))", "∀x (Busy(x) → MakeFood(x))", "(CaffeineAddict(sam) ∧ Busy(sam)) ⊕ (¬CaffeineAddict(sam) ∧ ¬Busy(sam))" ]

[ "No professional basketball players are soccer players.", "All NBA players are professional basketball players.", "All defenders are soccer players.", "All centerbacks are defenders.", "Roger Federer is not an NBA player or a defender." ]

[ "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "∀x (Defender(x) → SoccerPlayer(x))", "∀x (Centerback(x) → Defender(x))", "¬(NBAPlayer(rogerfederer) ⊕ Defender(rogerfederer))" ]

[ "No professional basketball players are soccer players.", "All NBA players are professional basketball players.", "All defenders are soccer players.", "All centerbacks are defenders.", "Roger Federer is not an NBA player or a defender." ]

[ "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "∀x (Defender(x) → SoccerPlayer(x))", "∀x (Centerback(x) → Defender(x))", "¬(NBAPlayer(rogerfederer) ⊕ Defender(rogerfederer))" ]

[ "No professional basketball players are soccer players.", "All NBA players are professional basketball players.", "All defenders are soccer players.", "All centerbacks are defenders.", "Roger Federer is not an NBA player or a defender." ]

[ "¬(∃x (SoccerPlayer(x) ∧ ProfessionalBasketballPlayer(x)))", "∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))", "∀x (Defender(x) → SoccerPlayer(x))", "∀x (Centerback(x) → Defender(x))", "¬(NBAPlayer(rogerfederer) ⊕ Defender(rogerfederer))" ]

[ "Some teachers working at a pool are not nice.", "All teachers working at pools are pool managers.", "All pool managers are lifeguards.", "If someone is a lifeguard, then they work at a pool.", "Mary does not work at a pool." ]

[ "∃x (TeacherWorkingAtPool(x) ∧ ¬Nice(x))", "∀x (TeacherWorkingAtPool(x) → PoolManager(x))", "∀x (PoolManager(x) → Lifeguard(x))", "∀x (Lifeguard(x) → WorkAtPool(x))", "¬WorkAtPool(mary))" ]

[ "Some teachers working at a pool are not nice.", "All teachers working at pools are pool managers.", "All pool managers are lifeguards.", "If someone is a lifeguard, then they work at a pool.", "Mary does not work at a pool." ]

[ "∃x (TeacherWorkingAtPool(x) ∧ ¬Nice(x))", "∀x (TeacherWorkingAtPool(x) → PoolManager(x))", "∀x (PoolManager(x) → Lifeguard(x))", "∀x (Lifeguard(x) → WorkAtPool(x))", "¬WorkAtPool(mary))" ]

[ "Some teachers working at a pool are not nice.", "All teachers working at pools are pool managers.", "All pool managers are lifeguards.", "If someone is a lifeguard, then they work at a pool.", "Mary does not work at a pool." ]

[ "∃x (TeacherWorkingAtPool(x) ∧ ¬Nice(x))", "∀x (TeacherWorkingAtPool(x) → PoolManager(x))", "∀x (PoolManager(x) → Lifeguard(x))", "∀x (Lifeguard(x) → WorkAtPool(x))", "¬WorkAtPool(mary))" ]

[ "Not all art pieces require talent.", "Everything that requires talent requires practice." ]

[ "∃x (ArtPiece(x) ∧ ¬RequiresTalent(x))", "∀x (RequiresTalent(x) → RequiresPractice(x))" ]

[ "Bernarda Bryson Shahn was a painter and lithographer.", "Bernarda Bryson Shahn was born in Athens, Ohio. ", "Bernarda Bryson Shahn was married to Ben Shahn.", "People born in Athens, Ohio are Americans." ]

[ "Painter(bernardaBrysonShahn) ∧ Lithographer(bernardaBrysonShahn) ", "BornIn(bernardaBrysonShahn, athensOhio)", "MarriedTo(bernardaBrysonShahn, benShahn)", "∀x (BornIn(x, athensOhio) → American(x))" ]

[ "Bernarda Bryson Shahn was a painter and lithographer.", "Bernarda Bryson Shahn was born in Athens, Ohio. ", "Bernarda Bryson Shahn was married to Ben Shahn.", "People born in Athens, Ohio are Americans." ]

[ "Painter(bernardaBrysonShahn) ∧ Lithographer(bernardaBrysonShahn) ", "BornIn(bernardaBrysonShahn, athensOhio)", "MarriedTo(bernardaBrysonShahn, benShahn)", "∀x (BornIn(x, athensOhio) → American(x))" ]

[ "Bernarda Bryson Shahn was a painter and lithographer.", "Bernarda Bryson Shahn was born in Athens, Ohio. ", "Bernarda Bryson Shahn was married to Ben Shahn.", "People born in Athens, Ohio are Americans." ]

[ "Painter(bernardaBrysonShahn) ∧ Lithographer(bernardaBrysonShahn) ", "BornIn(bernardaBrysonShahn, athensOhio)", "MarriedTo(bernardaBrysonShahn, benShahn)", "∀x (BornIn(x, athensOhio) → American(x))" ]

[ "If people upgrade to the newest iPhone model every year, then they are not saving money for a down payment on a new house.", "If people enjoy reading about tech specs and keeping up to date on the latest technology, then they upgrade to the newest iPhone model every year.", "People either are saving money for a down payment on a new house or they live in apartments in big metropolitan cities.", "If people live with at least one roommate then they do not own at least one pet.", "All people who own at least one pet live with at least one roommate.", "If Emma does not both own at least one pet and live in apartments in big metropolitan cities, then Emma either owns at least one pet and lives in an apartment in big metropolitan cities, or she neither owns a pet nor lives in an apartment in big metropolitan cities. " ]

[ "∀x (Iphone(x) → ¬House(x))", "∀x (Tech(x) → Iphone(x))", "∀x (House(x) ∨ Apartment(x))", "∀x (Roommate(x) → ¬Pet(x))", "∀x (Apartment(x) → Roommate(x))", "¬(Pet(emma) ∧ Apartment(emma)) → ((Pet(emma) ∧ Apartment(emma)) ∨ (¬Pet(emma) ∧ ¬Apartment(emma)))" ]

[ "If people upgrade to the newest iPhone model every year, then they are not saving money for a down payment on a new house.", "If people enjoy reading about tech specs and keeping up to date on the latest technology, then they upgrade to the newest iPhone model every year.", "People either are saving money for a down payment on a new house or they live in apartments in big metropolitan cities.", "If people live with at least one roommate then they do not own at least one pet.", "All people who own at least one pet live with at least one roommate.", "If Emma does not both own at least one pet and live in apartments in big metropolitan cities, then Emma either owns at least one pet and lives in an apartment in big metropolitan cities, or she neither owns a pet nor lives in an apartment in big metropolitan cities. " ]

[ "∀x (Iphone(x) → ¬House(x))", "∀x (Tech(x) → Iphone(x))", "∀x (House(x) ∨ Apartment(x))", "∀x (Roommate(x) → ¬Pet(x))", "∀x (Apartment(x) → Roommate(x))", "¬(Pet(emma) ∧ Apartment(emma)) → ((Pet(emma) ∧ Apartment(emma)) ∨ (¬Pet(emma) ∧ ¬Apartment(emma)))" ]

[ "If you are on the payroll, then you are being paid by the school.", "If someone has a job at a school, then they are on the payroll.", "All faculty members have a job at a school.", "One can either be a faculty member or a teacher.", "Every teacher has students.", "If Nancy is a teacher, then they are on the payroll.", "If Nancy is not a teacher, then they are not paid by the school." ]

[ "∀x (OnPayroll(x) → PaidBySchool(x))", "∀x (JobAtSchool(x) → OnPayroll(x))", "∀x (FacultyMember(x) → JobAtSchool(x))", "∀x (FacultyMember(x) ∨ Teacher(x))", "∀x (Teacher(x) → HasStudents(x))", "Teacher(nancy) → OnPayroll(nancy)", "¬Teacher(nancy) → ¬OnPayroll(nancy)" ]

[ "If you are on the payroll, then you are being paid by the school.", "If someone has a job at a school, then they are on the payroll.", "All faculty members have a job at a school.", "One can either be a faculty member or a teacher.", "Every teacher has students.", "If Nancy is a teacher, then they are on the payroll.", "If Nancy is not a teacher, then they are not paid by the school." ]

[ "∀x (OnPayroll(x) → PaidBySchool(x))", "∀x (JobAtSchool(x) → OnPayroll(x))", "∀x (FacultyMember(x) → JobAtSchool(x))", "∀x (FacultyMember(x) ∨ Teacher(x))", "∀x (Teacher(x) → HasStudents(x))", "Teacher(nancy) → OnPayroll(nancy)", "¬Teacher(nancy) → ¬OnPayroll(nancy)" ]

[ "If you are on the payroll, then you are being paid by the school.", "If someone has a job at a school, then they are on the payroll.", "All faculty members have a job at a school.", "One can either be a faculty member or a teacher.", "Every teacher has students.", "If Nancy is a teacher, then they are on the payroll.", "If Nancy is not a teacher, then they are not paid by the school." ]

[ "∀x (OnPayroll(x) → PaidBySchool(x))", "∀x (JobAtSchool(x) → OnPayroll(x))", "∀x (FacultyMember(x) → JobAtSchool(x))", "∀x (FacultyMember(x) ∨ Teacher(x))", "∀x (Teacher(x) → HasStudents(x))", "Teacher(nancy) → OnPayroll(nancy)", "¬Teacher(nancy) → ¬OnPayroll(nancy)" ]

[ "Kangaroo is an animal.", "No Kangaroos live in Germany.", "If Jane saves enough money for the summer, she will fly to Germany.", "If Jane flies to Germany, she will go to the Berlin Zoo.", "If someone goes to the Berlin Zoo, they will see some of the animals that live in Germany." ]

[ "∀x (Kangaroo(x) → Animal(x))", "∀x (Kangaroo(x) → ¬LiveIn(x, germany))", "EnoughMoney(jane) → FlyTo(jane, germany)", "FlyTo(jane, germany) → GoTo(jane, berlinzoo) ", "∀x ∃y (GoTo(x, berlinzoo) ∧ Animal(y) → MaySee(y, x, berlinzoo))" ]

[ "If a class has prerequisites the student must take the prerequisites to take the class.", "If a class has no prerequisites, then the student can take the class", "CPSC 201 and CPSC 223 are prerequisites for CPSC 323.", "Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.", "Intro Geology has no prerequisites." ]

[ "∀x ∀y ((Prereq(x, y) ∧ Taken(x)) ↔ CanTake(y))", "∀x ∀y (¬Prereq(x, y) → CanTake(y))", "Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)", "(Prereq(intromicro, intermediatemicro) ∧ Taken(intromicro)) → CanTake(intermediatemicro)", "∀x (¬Prereq(x, introgeology))" ]

[ "If a class has prerequisites the student must take the prerequisites to take the class.", "If a class has no prerequisites, then the student can take the class", "CPSC 201 and CPSC 223 are prerequisites for CPSC 323.", "Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.", "Intro Geology has no prerequisites." ]

[ "∀x ∀y ((Prereq(x, y) ∧ Taken(x)) ↔ CanTake(y))", "∀x ∀y (¬Prereq(x, y) → CanTake(y))", "Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)", "(Prereq(intromicro, intermediatemicro) ∧ Taken(intromicro)) → CanTake(intermediatemicro)", "∀x (¬Prereq(x, introgeology))" ]

[ "If a class has prerequisites the student must take the prerequisites to take the class.", "If a class has no prerequisites, then the student can take the class", "CPSC 201 and CPSC 223 are prerequisites for CPSC 323.", "Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.", "Intro Geology has no prerequisites." ]

[ "∀x ∀y ((Prereq(x, y) ∧ Taken(x)) ↔ CanTake(y))", "∀x ∀y (¬Prereq(x, y) → CanTake(y))", "Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)", "(Prereq(intromicro, intermediatemicro) ∧ Taken(intromicro)) → CanTake(intermediatemicro)", "∀x (¬Prereq(x, introgeology))" ]

[ "If a class has prerequisites the student must take the prerequisites to take the class.", "If a class has no prerequisites, then the student can take the class", "CPSC 201 and CPSC 223 are prerequisites for CPSC 323.", "Intro Microeconomics is the only prerequisite for Intermediate Microeconomics.", "Intro Geology has no prerequisites." ]

[ "∀x ∀y ((Prereq(x, y) ∧ Taken(x)) ↔ CanTake(y))", "∀x ∀y (¬Prereq(x, y) → CanTake(y))", "Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323)", "(Prereq(intromicro, intermediatemicro) ∧ Taken(intromicro)) → CanTake(intermediatemicro)", "∀x (¬Prereq(x, introgeology))" ]

[ "A heptalogy, is a compound literary or narrative work that is made up of seven distinct works.", "The Harry Potter series consists of 7 distinct works.", "The Chronicles of Narnia consists of 7 distinct works." ]

[ "∀x (SevenDistinctWorks(x) → Heptalogy(x))", "SevenDistinctWorks(harryPotter)", "SevenDistinctWorks(chroniclesofNarnia)" ]

[ "A heptalogy, is a compound literary or narrative work that is made up of seven distinct works.", "The Harry Potter series consists of 7 distinct works.", "The Chronicles of Narnia consists of 7 distinct works." ]

[ "∀x (SevenDistinctWorks(x) → Heptalogy(x))", "SevenDistinctWorks(harryPotter)", "SevenDistinctWorks(chroniclesofNarnia)" ]

[ "A heptalogy, is a compound literary or narrative work that is made up of seven distinct works.", "The Harry Potter series consists of 7 distinct works.", "The Chronicles of Narnia consists of 7 distinct works." ]

[ "∀x (SevenDistinctWorks(x) → Heptalogy(x))", "SevenDistinctWorks(harryPotter)", "SevenDistinctWorks(chroniclesofNarnia)" ]

[ "All people who attend Renaissance fairs regularly enjoy dressing up in old-fashioned and historical period clothing.", "If people are fascinated by the history of the Renaissance and other past eras, then they attend Renaissance fairs regularly.", "People are either fascinated by the history of the Renaissance and other past eras, or are not nostalgic academics who enjoy learning.", "If people are focused on the future and industry professions, then they are not nostalgic academics who enjoy learning.", "If people are historical professors who are passionate about their job and subject, then they are nostalgic academics who enjoy learning.", "If Clyde is not focused on the future and industry professions, then he is neither focused on the future and industry professions nor enjoys dressing up in old-fashioned and historical period clothing." ]

[ "∀x (RenaissanceFair(x) → DressingUp(x))", "∀x (HistoryRenaissance(x) → RenaissanceFair(x))", "∀x (HistoryRenaissance(x) ∨ NotAcademics(x))", "∀x (Industry(x) → NotAcademics(x))", "∀x (HistoryProf(x) → ¬NotAcademics(x))", "¬Industry(clyde) → ¬(Industry(clyde) ∨ DressingUp(clyde))" ]

[ "All people who attend Renaissance fairs regularly enjoy dressing up in old-fashioned and historical period clothing.", "If people are fascinated by the history of the Renaissance and other past eras, then they attend Renaissance fairs regularly.", "People are either fascinated by the history of the Renaissance and other past eras, or are not nostalgic academics who enjoy learning.", "If people are focused on the future and industry professions, then they are not nostalgic academics who enjoy learning.", "If people are historical professors who are passionate about their job and subject, then they are nostalgic academics who enjoy learning.", "If Clyde is not focused on the future and industry professions, then he is neither focused on the future and industry professions nor enjoys dressing up in old-fashioned and historical period clothing." ]

[ "∀x (RenaissanceFair(x) → DressingUp(x))", "∀x (HistoryRenaissance(x) → RenaissanceFair(x))", "∀x (HistoryRenaissance(x) ∨ NotAcademics(x))", "∀x (Industry(x) → NotAcademics(x))", "∀x (HistoryProf(x) → ¬NotAcademics(x))", "¬Industry(clyde) → ¬(Industry(clyde) ∨ DressingUp(clyde))" ]

[ "All people who attend Renaissance fairs regularly enjoy dressing up in old-fashioned and historical period clothing.", "If people are fascinated by the history of the Renaissance and other past eras, then they attend Renaissance fairs regularly.", "People are either fascinated by the history of the Renaissance and other past eras, or are not nostalgic academics who enjoy learning.", "If people are focused on the future and industry professions, then they are not nostalgic academics who enjoy learning.", "If people are historical professors who are passionate about their job and subject, then they are nostalgic academics who enjoy learning.", "If Clyde is not focused on the future and industry professions, then he is neither focused on the future and industry professions nor enjoys dressing up in old-fashioned and historical period clothing." ]

[ "∀x (RenaissanceFair(x) → DressingUp(x))", "∀x (HistoryRenaissance(x) → RenaissanceFair(x))", "∀x (HistoryRenaissance(x) ∨ NotAcademics(x))", "∀x (Industry(x) → NotAcademics(x))", "∀x (HistoryProf(x) → ¬NotAcademics(x))", "¬Industry(clyde) → ¬(Industry(clyde) ∨ DressingUp(clyde))" ]

[ "No sports cars are vehicles intended to be driven at moderate speeds.", "All automobiles designed for family use are vehicles intended to be driven at moderate speeds." ]

[ "∀x (SportsCar(x) → ¬IntendedToBeDrivenAtModerateSpeeds(x))", "∀x (ForFamilyUse(x) → IntendedToBeDrivenAtModerateSpeeds(x))" ]

[ "If people work well in teams in their workplace, then they get along with all their colleagues at their work.", "If people come to work every day with a positive attitude, then they work well in teams in their workplace.", "People either come into work every day with a positive attitude or are always tired every morning.", "If people get many promotions from their boss at work, then they receive negative feedback from teams at work.", "Kat is either both a person who works well in teams in their workplace and is always tired every morning, or she neither works well in teams in their workplace nor is always tired every morning." ]

[ "∀x (WorkTeams(x) → Colleagues(x))", "∀x (PositiveAttitude(x) → WorkTeams(x))", "∀x (PositiveAttitude(x) ⊕ Tired(x)) ∧ (∀x (Tired(x) → BossPromotions(x)))", "∀x (BossPromotions(x) → ¬NegativeFeedback(x))", "(WorkTeams(kat) ∧ Tired(kat)) ∨ ¬WorkTeams(kat) ∧ ¬Tired(kat))" ]

[ "If people work well in teams in their workplace, then they get along with all their colleagues at their work.", "If people come to work every day with a positive attitude, then they work well in teams in their workplace.", "People either come into work every day with a positive attitude or are always tired every morning.", "If people get many promotions from their boss at work, then they receive negative feedback from teams at work.", "Kat is either both a person who works well in teams in their workplace and is always tired every morning, or she neither works well in teams in their workplace nor is always tired every morning." ]

[ "∀x (WorkTeams(x) → Colleagues(x))", "∀x (PositiveAttitude(x) → WorkTeams(x))", "∀x (PositiveAttitude(x) ⊕ Tired(x)) ∧ (∀x (Tired(x) → BossPromotions(x)))", "∀x (BossPromotions(x) → ¬NegativeFeedback(x))", "(WorkTeams(kat) ∧ Tired(kat)) ∨ ¬WorkTeams(kat) ∧ ¬Tired(kat))" ]

[ "If people work well in teams in their workplace, then they get along with all their colleagues at their work.", "If people come to work every day with a positive attitude, then they work well in teams in their workplace.", "People either come into work every day with a positive attitude or are always tired every morning.", "If people get many promotions from their boss at work, then they receive negative feedback from teams at work.", "Kat is either both a person who works well in teams in their workplace and is always tired every morning, or she neither works well in teams in their workplace nor is always tired every morning." ]

[ "∀x (WorkTeams(x) → Colleagues(x))", "∀x (PositiveAttitude(x) → WorkTeams(x))", "∀x (PositiveAttitude(x) ⊕ Tired(x)) ∧ (∀x (Tired(x) → BossPromotions(x)))", "∀x (BossPromotions(x) → ¬NegativeFeedback(x))", "(WorkTeams(kat) ∧ Tired(kat)) ∨ ¬WorkTeams(kat) ∧ ¬Tired(kat))" ]

[ "Drishti is open-source.", "Open-source software is free to modify." ]

[ "OpenSource(drishti)", "∀x (OpenSource(x) → ModifyFree(x))" ]

[ "There are five grades including A+, A, B+, B, and C in English.", "If a student gets A+ in English, then his score is greater than 95.", "If a student gets A in English, then his score is in the range of 90-95.", "Zhang got an A in English.", "Wang's English score is better than Zhang's.", "Wu's English score is lower than 90." ]

[ "Grade(a+) ∨ Grade(a) ∨ Grade(b+) ∨ Grade(b) ∨ Grade(c)", "∀x (GetGrade(x, a+) → GreaterThan95(x))", "∀x (GetGrade(x, a) → Range90to95(x))", "GetGrade(zhang, a)", "Better(wang, zhang)", "LowerThan90(wu)" ]

[ "There are five grades including A+, A, B+, B, and C in English.", "If a student gets A+ in English, then his score is greater than 95.", "If a student gets A in English, then his score is in the range of 90-95.", "Zhang got an A in English.", "Wang's English score is better than Zhang's.", "Wu's English score is lower than 90." ]

[ "Grade(a+) ∨ Grade(a) ∨ Grade(b+) ∨ Grade(b) ∨ Grade(c)", "∀x (GetGrade(x, a+) → GreaterThan95(x))", "∀x (GetGrade(x, a) → Range90to95(x))", "GetGrade(zhang, a)", "Better(wang, zhang)", "LowerThan90(wu)" ]

[ "There are five grades including A+, A, B+, B, and C in English.", "If a student gets A+ in English, then his score is greater than 95.", "If a student gets A in English, then his score is in the range of 90-95.", "Zhang got an A in English.", "Wang's English score is better than Zhang's.", "Wu's English score is lower than 90." ]

[ "Grade(a+) ∨ Grade(a) ∨ Grade(b+) ∨ Grade(b) ∨ Grade(c)", "∀x (GetGrade(x, a+) → GreaterThan95(x))", "∀x (GetGrade(x, a) → Range90to95(x))", "GetGrade(zhang, a)", "Better(wang, zhang)", "LowerThan90(wu)" ]

[ "Olivia doesn't prefer warm temperature during the day.", "When Olivia sleeps, she prefers cool temperature.", "Olivia sleeps during the night.", "Olivia works during the day.", "Olivia either works or sleeps.", "The time is either the day or the night.", "Olivia either prefers warm temperature or prefers cool temperature." ]

[ "∀x (Day(x) → ¬PrefersWarmAt(olivia, x))", "∀x (SleepingDuring(olivia, x) → PrefersCoolAt(olivia, x))", "∀x (SleepingDuring(olivia, x) → Night(x))", "∀x (WorkingDuring(olivia, x) → Day(x))", "∀x (WorkingDuring(olivia, x) ∨ SleepingDuring(olivia, x))", "∀x (Day(x) ∨ Night(x))", "∀x (PrefersWarmAt(olivia, x) ∨ PrefersCoolAt(olivia, x))" ]

[ "Taylor Swift gives a commencement speech in New York University in 2022.", "Both Columbia University and New York University are located in Manhattan.", "Taylor Swift has received three Grammy Album of the Year Awards.", "Columbia University is one of the Ivy League schools." ]

[ "Speech(taylorSwift, nyc)", "Manhattan(columbiaUniversity) ∧ Manhattan(nyc)", "HaveAlbum(taylorSwift)", "IvyLeague(columbiaUniversity)" ]

[ "Taylor Swift gives a commencement speech in New York University in 2022.", "Both Columbia University and New York University are located in Manhattan.", "Taylor Swift has received three Grammy Album of the Year Awards.", "Columbia University is one of the Ivy League schools." ]

[ "Speech(taylorSwift, nyc)", "Manhattan(columbiaUniversity) ∧ Manhattan(nyc)", "HaveAlbum(taylorSwift)", "IvyLeague(columbiaUniversity)" ]

[ "Customers either choose Plan A or Plan B.", "All who choose Plan B are rewarded with a $30 gift card. ", "There are no customers who do not choose any plans. ", "No customers rewarded a $30 gift card are older than 80.", "Customers are either older than 80 or are currently studying at school. ", "James is not a customer who is currently studying at school. " ]

[ "∀x (PlanA(x) ∨ PlanB(x))", "∀x (PlanB(x) → Award(x))", "∀x (¬NoPlan(x))", "∀x (Award(x) → ¬OlderThan80(x))", "∀x (OlderThan80(x) ∨ StudyAtSchool(x))", "¬StudyAtSchool(james)" ]

[ "Customers either choose Plan A or Plan B.", "All who choose Plan B are rewarded with a $30 gift card. ", "There are no customers who do not choose any plans. ", "No customers rewarded a $30 gift card are older than 80.", "Customers are either older than 80 or are currently studying at school. ", "James is not a customer who is currently studying at school. " ]

[ "∀x (PlanA(x) ∨ PlanB(x))", "∀x (PlanB(x) → Award(x))", "∀x (¬NoPlan(x))", "∀x (Award(x) → ¬OlderThan80(x))", "∀x (OlderThan80(x) ∨ StudyAtSchool(x))", "¬StudyAtSchool(james)" ]

[ "Customers either choose Plan A or Plan B.", "All who choose Plan B are rewarded with a $30 gift card. ", "There are no customers who do not choose any plans. ", "No customers rewarded a $30 gift card are older than 80.", "Customers are either older than 80 or are currently studying at school. ", "James is not a customer who is currently studying at school. " ]

[ "∀x (PlanA(x) ∨ PlanB(x))", "∀x (PlanB(x) → Award(x))", "∀x (¬NoPlan(x))", "∀x (Award(x) → ¬OlderThan80(x))", "∀x (OlderThan80(x) ∨ StudyAtSchool(x))", "¬StudyAtSchool(james)" ]

[ "Detroit City is a horse.", "Some horses are racehorses.", "If a horse falls during a race, then it dies.", "Detroit City fell during a race.", "A horse is a racehorse if it is in a race." ]

[ "Horse(detroitcity)", "∃x (Horse(x) ∧ Racehorse(x))", "∀x (Horse(x) ∧ Racing(x) ∧ Falls(x) → Dead(x))", "Racing(detroitcity) ∧ Falls(detroitcity)", "∀x (Horse(x) ∧ Racing(x) → Racehorse(x))" ]

[ "Detroit City is a horse.", "Some horses are racehorses.", "If a horse falls during a race, then it dies.", "Detroit City fell during a race.", "A horse is a racehorse if it is in a race." ]

[ "Horse(detroitcity)", "∃x (Horse(x) ∧ Racehorse(x))", "∀x (Horse(x) ∧ Racing(x) ∧ Falls(x) → Dead(x))", "Racing(detroitcity) ∧ Falls(detroitcity)", "∀x (Horse(x) ∧ Racing(x) → Racehorse(x))" ]

[ "Detroit City is a horse.", "Some horses are racehorses.", "If a horse falls during a race, then it dies.", "Detroit City fell during a race.", "A horse is a racehorse if it is in a race." ]

[ "Horse(detroitcity)", "∃x (Horse(x) ∧ Racehorse(x))", "∀x (Horse(x) ∧ Racing(x) ∧ Falls(x) → Dead(x))", "Racing(detroitcity) ∧ Falls(detroitcity)", "∀x (Horse(x) ∧ Racing(x) → Racehorse(x))" ]

[ "Frederick Monhoff was an architect, artist, and illustrator.", "Frederick Monhoff was an American.", "An artist is good at painting or music.", "All Americans speak English." ]

[ "Architect(monhoff) ∧ Artist(monhoff) ∧ Illustrator(monhoff)", "American(monhoff)", "∀x (Artist(x) → GoodAt(x, painting) ∨ GoodAt(x, music))", "∀x (American(x) → Speak(x, english))" ]

[ "Frederick Monhoff was an architect, artist, and illustrator.", "Frederick Monhoff was an American.", "An artist is good at painting or music.", "All Americans speak English." ]

[ "Architect(monhoff) ∧ Artist(monhoff) ∧ Illustrator(monhoff)", "American(monhoff)", "∀x (Artist(x) → GoodAt(x, painting) ∨ GoodAt(x, music))", "∀x (American(x) → Speak(x, english))" ]

[ "Miroslav Fiedler was a Czech mathematician.", "Miroslav Fiedler is known for his contributions to linear algebra and graph theory.", "Miroslav Fiedler is honored by the Fiedler eigenvalue.", "Fiedler eigenvalue is the second smallest eigenvalue of the graph Laplacian." ]

[ "Czech(miroslavfiedler) ∧ Mathematician(miroslavfiedler)", "KnownFor(miroslavfiedler, contributionsToLinearAlgebraAndGraphTheory)", "HonoredBy(miroslavfiedler, fiedlerEigenvalue)", "TheSecondSmallestEigenvalueOf(fiedlerEigenvalue, theGraphLaplacian)" ]

[ "Miroslav Fiedler was a Czech mathematician.", "Miroslav Fiedler is known for his contributions to linear algebra and graph theory.", "Miroslav Fiedler is honored by the Fiedler eigenvalue.", "Fiedler eigenvalue is the second smallest eigenvalue of the graph Laplacian." ]

[ "Czech(miroslavfiedler) ∧ Mathematician(miroslavfiedler)", "KnownFor(miroslavfiedler, contributionsToLinearAlgebraAndGraphTheory)", "HonoredBy(miroslavfiedler, fiedlerEigenvalue)", "TheSecondSmallestEigenvalueOf(fiedlerEigenvalue, theGraphLaplacian)" ]

[ "Miroslav Fiedler was a Czech mathematician.", "Miroslav Fiedler is known for his contributions to linear algebra and graph theory.", "Miroslav Fiedler is honored by the Fiedler eigenvalue.", "Fiedler eigenvalue is the second smallest eigenvalue of the graph Laplacian." ]

[ "Czech(miroslavfiedler) ∧ Mathematician(miroslavfiedler)", "KnownFor(miroslavfiedler, contributionsToLinearAlgebraAndGraphTheory)", "HonoredBy(miroslavfiedler, fiedlerEigenvalue)", "TheSecondSmallestEigenvalueOf(fiedlerEigenvalue, theGraphLaplacian)" ]

[ "A laptop is a computer.", "You can play games on a computer.", "A phone is not a computer." ]

[ "∀x (Laptop(x) → Computer(x))", "∀x (Computer(x) → CanPlayGames(x))", "∀x (Phone(x) → ¬Computer(x))", "" ]

[ "A laptop is a computer.", "You can play games on a computer.", "A phone is not a computer." ]

[ "∀x (Laptop(x) → Computer(x))", "∀x (Computer(x) → CanPlayGames(x))", "∀x (Phone(x) → ¬Computer(x))", "" ]

[ "Walter Folger Brown was an American politician and lawyer, and served as the postmaster general.", "Walter Folger Brown graduated from Harvard University with a Bachelors of Arts.", "While they were both in Toledo, Walter Folger Brown's father practiced law with Walter Folger Brown.", "Katherin Hafer married Walter Folger Brown." ]

[ "AmericanPolitician(walterbrown) ∧ Lawyer(walterbrown) ∧ ServedAs(walterbrown, postamastergeneral)", "Graduated(walterbrown, harvard) ∧ GraduatedWith(walterbrown, bachelorsofart)", "In(walterbrown, toledo) ∧ In(walterbrownfather, toledo) ∧ PracticedLawTogether(walterbrownfather, walterbrown)", "Married(ketherinhafer, walterbrown)" ]

[ "Walter Folger Brown was an American politician and lawyer, and served as the postmaster general.", "Walter Folger Brown graduated from Harvard University with a Bachelors of Arts.", "While they were both in Toledo, Walter Folger Brown's father practiced law with Walter Folger Brown.", "Katherin Hafer married Walter Folger Brown." ]

[ "AmericanPolitician(walterbrown) ∧ Lawyer(walterbrown) ∧ ServedAs(walterbrown, postamastergeneral)", "Graduated(walterbrown, harvard) ∧ GraduatedWith(walterbrown, bachelorsofart)", "In(walterbrown, toledo) ∧ In(walterbrownfather, toledo) ∧ PracticedLawTogether(walterbrownfather, walterbrown)", "Married(ketherinhafer, walterbrown)" ]

[ "Walter Folger Brown was an American politician and lawyer, and served as the postmaster general.", "Walter Folger Brown graduated from Harvard University with a Bachelors of Arts.", "While they were both in Toledo, Walter Folger Brown's father practiced law with Walter Folger Brown.", "Katherin Hafer married Walter Folger Brown." ]

[ "AmericanPolitician(walterbrown) ∧ Lawyer(walterbrown) ∧ ServedAs(walterbrown, postamastergeneral)", "Graduated(walterbrown, harvard) ∧ GraduatedWith(walterbrown, bachelorsofart)", "In(walterbrown, toledo) ∧ In(walterbrownfather, toledo) ∧ PracticedLawTogether(walterbrownfather, walterbrown)", "Married(ketherinhafer, walterbrown)" ]

[ "All products shipped from China are made in China. ", "All products sold in JD are shipped from China. ", "All products commonly used in China are sold in JD.", "All products favored by young people are commonly used in China. ", "MacBook is not made in China and is not commonly used in China." ]

[ "∀x (ShipChina(x) → MadeInChina(x))", "∀x (SoldJD(x) → ShipChina(x))", "∀x (CommonlyUsedChina(x) → SoldJD(x))", "∀x (FavoredByYoungPeople(x) → CommonlyUsedChina(x))", "¬(MadeInChina(macbook) ∧ CommonlyUsedChina(macbook))" ]

[ "All products shipped from China are made in China. ", "All products sold in JD are shipped from China. ", "All products commonly used in China are sold in JD.", "All products favored by young people are commonly used in China. ", "MacBook is not made in China and is not commonly used in China." ]

[ "∀x (ShipChina(x) → MadeInChina(x))", "∀x (SoldJD(x) → ShipChina(x))", "∀x (CommonlyUsedChina(x) → SoldJD(x))", "∀x (FavoredByYoungPeople(x) → CommonlyUsedChina(x))", "¬(MadeInChina(macbook) ∧ CommonlyUsedChina(macbook))" ]

[ "All products shipped from China are made in China. ", "All products sold in JD are shipped from China. ", "All products commonly used in China are sold in JD.", "All products favored by young people are commonly used in China. ", "MacBook is not made in China and is not commonly used in China." ]

[ "∀x (ShipChina(x) → MadeInChina(x))", "∀x (SoldJD(x) → ShipChina(x))", "∀x (CommonlyUsedChina(x) → SoldJD(x))", "∀x (FavoredByYoungPeople(x) → CommonlyUsedChina(x))", "¬(MadeInChina(macbook) ∧ CommonlyUsedChina(macbook))" ]

[ "All products shipped from China are made in China. ", "All products sold in JD are shipped from China. ", "All products commonly used in China are sold in JD.", "All products favored by young people are commonly used in China. ", "MacBook is not made in China and is not commonly used in China." ]

[ "∀x (ShipChina(x) → MadeInChina(x))", "∀x (SoldJD(x) → ShipChina(x))", "∀x (CommonlyUsedChina(x) → SoldJD(x))", "∀x (FavoredByYoungPeople(x) → CommonlyUsedChina(x))", "¬(MadeInChina(macbook) ∧ CommonlyUsedChina(macbook))" ]

[ "All products shipped from China are made in China. ", "All products sold in JD are shipped from China. ", "All products commonly used in China are sold in JD.", "All products favored by young people are commonly used in China. ", "MacBook is not made in China and is not commonly used in China." ]

[ "∀x (ShipChina(x) → MadeInChina(x))", "∀x (SoldJD(x) → ShipChina(x))", "∀x (CommonlyUsedChina(x) → SoldJD(x))", "∀x (FavoredByYoungPeople(x) → CommonlyUsedChina(x))", "¬(MadeInChina(macbook) ∧ CommonlyUsedChina(macbook))" ]

[ "Oxford Circus is a road junction connecting Oxford Street and Regent Street.", "Oxford Street is in London.", "John Nash designed the construction on Regent Street.", "John Nash designed Oxford Circus.", "John Nash is an architect in British.", "Oxford Circus is the entrance to Oxford Circus tube station which is a part of the Central line in 1900." ]

[ "OxfordStreet(oxfordCircus) ∧ RegentStreet(oxfordCircus)", "∀x (OxfordStreet(x) → London(x))", "∃x (RegentStreet(x) ∧ Design(johnNash, x))", "Design(johnNash, oxfordCircus)", "British(johnNash) ∧ Architect(johnNash)", "CentralLine(oxfordCircus)" ]

[ "Oxford Circus is a road junction connecting Oxford Street and Regent Street.", "Oxford Street is in London.", "John Nash designed the construction on Regent Street.", "John Nash designed Oxford Circus.", "John Nash is an architect in British.", "Oxford Circus is the entrance to Oxford Circus tube station which is a part of the Central line in 1900." ]

[ "OxfordStreet(oxfordCircus) ∧ RegentStreet(oxfordCircus)", "∀x (OxfordStreet(x) → London(x))", "∃x (RegentStreet(x) ∧ Design(johnNash, x))", "Design(johnNash, oxfordCircus)", "British(johnNash) ∧ Architect(johnNash)", "CentralLine(oxfordCircus)" ]

[ "Oxford Circus is a road junction connecting Oxford Street and Regent Street.", "Oxford Street is in London.", "John Nash designed the construction on Regent Street.", "John Nash designed Oxford Circus.", "John Nash is an architect in British.", "Oxford Circus is the entrance to Oxford Circus tube station which is a part of the Central line in 1900." ]

[ "OxfordStreet(oxfordCircus) ∧ RegentStreet(oxfordCircus)", "∀x (OxfordStreet(x) → London(x))", "∃x (RegentStreet(x) ∧ Design(johnNash, x))", "Design(johnNash, oxfordCircus)", "British(johnNash) ∧ Architect(johnNash)", "CentralLine(oxfordCircus)" ]

[ "Oxford Circus is a road junction connecting Oxford Street and Regent Street.", "Oxford Street is in London.", "John Nash designed the construction on Regent Street.", "John Nash designed Oxford Circus.", "John Nash is an architect in British.", "Oxford Circus is the entrance to Oxford Circus tube station which is a part of the Central line in 1900." ]

[ "OxfordStreet(oxfordCircus) ∧ RegentStreet(oxfordCircus)", "∀x (OxfordStreet(x) → London(x))", "∃x (RegentStreet(x) ∧ Design(johnNash, x))", "Design(johnNash, oxfordCircus)", "British(johnNash) ∧ Architect(johnNash)", "CentralLine(oxfordCircus)" ]

[ "An animal is either a cat or a dog.", "All dogs bark.", "Ghosts do not exist.", "If something barks, then it is not alive.", "A thing is either alive or dead.", "Jojo is not dead." ]

[ "∀x (Cat(x) ⊕ Dog(x))", "∀x (Dog(x) → Bark(x))", "∀x (¬Ghost(x))", "∀x (Bark(x) → ¬Alive(x))", "∀x (Alive(x) ⊕ Dead(x))", "¬Dead(jojo)" ]

[ "An animal is either a cat or a dog.", "All dogs bark.", "Ghosts do not exist.", "If something barks, then it is not alive.", "A thing is either alive or dead.", "Jojo is not dead." ]

[ "∀x (Cat(x) ⊕ Dog(x))", "∀x (Dog(x) → Bark(x))", "∀x (¬Ghost(x))", "∀x (Bark(x) → ¬Alive(x))", "∀x (Alive(x) ⊕ Dead(x))", "¬Dead(jojo)" ]

[ "An animal is either a cat or a dog.", "All dogs bark.", "Ghosts do not exist.", "If something barks, then it is not alive.", "A thing is either alive or dead.", "Jojo is not dead." ]

[ "∀x (Cat(x) ⊕ Dog(x))", "∀x (Dog(x) → Bark(x))", "∀x (¬Ghost(x))", "∀x (Bark(x) → ¬Alive(x))", "∀x (Alive(x) ⊕ Dead(x))", "¬Dead(jojo)" ]

[ "All animals that are tigers are cats.", "No cats are dogs.", "All Bengal tigers are tigers.", "Everything that is a husky is a dog.", "Fido is either a Bengal tiger or a cat." ]

[ "∀x (Tiger(x) → Cat(x))", "∀x (Cat(x) → ¬Dog(x))", "∀x (BengalTiger(x) → Tiger(x))", "∀x (Husky(x) → Dog(x))", "BengalTiger(fido) ∨ Cat(fido)" ]

[ "All animals that are tigers are cats.", "No cats are dogs.", "All Bengal tigers are tigers.", "Everything that is a husky is a dog.", "Fido is either a Bengal tiger or a cat." ]

[ "∀x (Tiger(x) → Cat(x))", "∀x (Cat(x) → ¬Dog(x))", "∀x (BengalTiger(x) → Tiger(x))", "∀x (Husky(x) → Dog(x))", "BengalTiger(fido) ∨ Cat(fido)" ]

[ "All animals that are tigers are cats.", "No cats are dogs.", "All Bengal tigers are tigers.", "Everything that is a husky is a dog.", "Fido is either a Bengal tiger or a cat." ]

[ "∀x (Tiger(x) → Cat(x))", "∀x (Cat(x) → ¬Dog(x))", "∀x (BengalTiger(x) → Tiger(x))", "∀x (Husky(x) → Dog(x))", "BengalTiger(fido) ∨ Cat(fido)" ]

[ "All animals that are tigers are cats.", "No cats are dogs.", "All Bengal tigers are tigers.", "Everything that is a husky is a dog.", "Fido is either a Bengal tiger or a cat." ]

[ "∀x (Tiger(x) → Cat(x))", "∀x (Cat(x) → ¬Dog(x))", "∀x (BengalTiger(x) → Tiger(x))", "∀x (Husky(x) → Dog(x))", "BengalTiger(fido) ∨ Cat(fido)" ]

[ "If a city hold a Summer Olympics, and the city is a US city, then the Summer Olympics will be in the US.", "If a city is in a state which is in US, the city is a US city.", "If a city in a state, and a Summer Olympics is in this city, then the Summer Olympics is in this state.", "The 2028 Summer Olympics is scheduled to take place in Los Angeles(LA).", "LA is a city in California(CA).", "Atlanta is a US city.", "Atlanta is in Georgia(CA).", "CA is a state in the United States.", "Boxing, modern pentathlon, and weightlifting will be removed from The 2028 Summer Olympics.", "Atlanta in the United States hold the 1996 Summer Olympics." ]

[ "∀x ∀y (SummerOlympicsCity(x, y) ∧ CityInCountry(y, us) → SummerOlympicsCountry(x, us))", "∀x ∀y (CityInState(x, y) ∧ StateInCountry(y, us) → CityInCountry(x, us))", "∀x ∀y ∀z (CityInState(x, y) ∧ SummerOlympicsCity(z, x) → SummerOlympicsState(z, y))", "SummerOlympicsCity(y2028, la)", "CityInState(la, ca)", "CityInCountry(atlanta, us)", "StateInCountry(ca, us)", "CityInState(atlanta, ga)", "¬InSummerOlympics(y2028, boxing) ∧ ¬InSummerOlympics(y2028, modern_pentathlon) ∧ ¬InSummerOlympics(y2028, weightlifting)", "SummerOlympicsCity(y1996, atlanta)" ]

[ "If a city hold a Summer Olympics, and the city is a US city, then the Summer Olympics will be in the US.", "If a city is in a state which is in US, the city is a US city.", "If a city in a state, and a Summer Olympics is in this city, then the Summer Olympics is in this state.", "The 2028 Summer Olympics is scheduled to take place in Los Angeles(LA).", "LA is a city in California(CA).", "Atlanta is a US city.", "Atlanta is in Georgia(CA).", "CA is a state in the United States.", "Boxing, modern pentathlon, and weightlifting will be removed from The 2028 Summer Olympics.", "Atlanta in the United States hold the 1996 Summer Olympics." ]

[ "∀x ∀y (SummerOlympicsCity(x, y) ∧ CityInCountry(y, us) → SummerOlympicsCountry(x, us))", "∀x ∀y (CityInState(x, y) ∧ StateInCountry(y, us) → CityInCountry(x, us))", "∀x ∀y ∀z (CityInState(x, y) ∧ SummerOlympicsCity(z, x) → SummerOlympicsState(z, y))", "SummerOlympicsCity(y2028, la)", "CityInState(la, ca)", "CityInCountry(atlanta, us)", "StateInCountry(ca, us)", "CityInState(atlanta, ga)", "¬InSummerOlympics(y2028, boxing) ∧ ¬InSummerOlympics(y2028, modern_pentathlon) ∧ ¬InSummerOlympics(y2028, weightlifting)", "SummerOlympicsCity(y1996, atlanta)" ]

[ "If a city hold a Summer Olympics, and the city is a US city, then the Summer Olympics will be in the US.", "If a city is in a state which is in US, the city is a US city.", "If a city in a state, and a Summer Olympics is in this city, then the Summer Olympics is in this state.", "The 2028 Summer Olympics is scheduled to take place in Los Angeles(LA).", "LA is a city in California(CA).", "Atlanta is a US city.", "Atlanta is in Georgia(CA).", "CA is a state in the United States.", "Boxing, modern pentathlon, and weightlifting will be removed from The 2028 Summer Olympics.", "Atlanta in the United States hold the 1996 Summer Olympics." ]

[ "∀x ∀y (SummerOlympicsCity(x, y) ∧ CityInCountry(y, us) → SummerOlympicsCountry(x, us))", "∀x ∀y (CityInState(x, y) ∧ StateInCountry(y, us) → CityInCountry(x, us))", "∀x ∀y ∀z (CityInState(x, y) ∧ SummerOlympicsCity(z, x) → SummerOlympicsState(z, y))", "SummerOlympicsCity(y2028, la)", "CityInState(la, ca)", "CityInCountry(atlanta, us)", "StateInCountry(ca, us)", "CityInState(atlanta, ga)", "¬InSummerOlympics(y2028, boxing) ∧ ¬InSummerOlympics(y2028, modern_pentathlon) ∧ ¬InSummerOlympics(y2028, weightlifting)", "SummerOlympicsCity(y1996, atlanta)" ]

[ "The taiga vole is a large vole found in northwestern North America. ", "Cats like playing with all voles.", "The taiga vole lives in the boreal taiga zone.", "The boreal taiga zone in North America is a cold place to live in.", "Taiga vole is typically much larger than most other North American voles, especially those from the genus Microtus." ]

[ "Vole(taigaVole) ∧ Find(taigaVole, northAmerica)", "∀x (Vole(x) → CatLikePlayingWith(x))", "Live(taigaVole, borealTaigaZone)", "∀x (Find(x, northAmerica) ∧ Live(x, borealTaigaZone) → LiveInColdPlace(x))", "Larger(taigaVole, microtusVole)" ]

[ "The taiga vole is a large vole found in northwestern North America. ", "Cats like playing with all voles.", "The taiga vole lives in the boreal taiga zone.", "The boreal taiga zone in North America is a cold place to live in.", "Taiga vole is typically much larger than most other North American voles, especially those from the genus Microtus." ]

[ "Vole(taigaVole) ∧ Find(taigaVole, northAmerica)", "∀x (Vole(x) → CatLikePlayingWith(x))", "Live(taigaVole, borealTaigaZone)", "∀x (Find(x, northAmerica) ∧ Live(x, borealTaigaZone) → LiveInColdPlace(x))", "Larger(taigaVole, microtusVole)" ]

[ "Either in women or in men. ", "No men have breast cancer.", "Either breast cancer or non-breast cancer. ", "No type of cancer is without a tumor.", "All non-breast cancers are a type of cancer.", "If adenocarcinoma is a type of cancer or without a tumor, then adenocarcinoma is in women or without a tumor." ]

[ "∀x (Women(x) ∨ Men(x)) ", " ∀x (Men(x) → ¬BreastCancer(x))", " ∀x (BreastCancer (x) ∨ Non-BreastCancer(x)) ", " ∀x (ATypeOfCancer(x) → ¬WithoutTumor (x)) ", " ∀x (Non-BreastCancer(x) → ATypeOfCancer(x)) ", " ATypeOfCancer(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma) → women(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma)" ]

[ "Either in women or in men. ", "No men have breast cancer.", "Either breast cancer or non-breast cancer. ", "No type of cancer is without a tumor.", "All non-breast cancers are a type of cancer.", "If adenocarcinoma is a type of cancer or without a tumor, then adenocarcinoma is in women or without a tumor." ]

[ "∀x (Women(x) ∨ Men(x)) ", " ∀x (Men(x) → ¬BreastCancer(x))", " ∀x (BreastCancer (x) ∨ Non-BreastCancer(x)) ", " ∀x (ATypeOfCancer(x) → ¬WithoutTumor (x)) ", " ∀x (Non-BreastCancer(x) → ATypeOfCancer(x)) ", " ATypeOfCancer(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma) → women(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma)" ]

[ "Either in women or in men. ", "No men have breast cancer.", "Either breast cancer or non-breast cancer. ", "No type of cancer is without a tumor.", "All non-breast cancers are a type of cancer.", "If adenocarcinoma is a type of cancer or without a tumor, then adenocarcinoma is in women or without a tumor." ]

[ "∀x (Women(x) ∨ Men(x)) ", " ∀x (Men(x) → ¬BreastCancer(x))", " ∀x (BreastCancer (x) ∨ Non-BreastCancer(x)) ", " ∀x (ATypeOfCancer(x) → ¬WithoutTumor (x)) ", " ∀x (Non-BreastCancer(x) → ATypeOfCancer(x)) ", " ATypeOfCancer(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma) → women(adenocarcinoma) ∨ WithoutTumor(adenocarcinoma)" ]

[ "Some monitors equipped in the lab are produced by the company named AOC. ", "All monitors equipped in the lab are cheaper than their original prices. ", "If the monitor is cheaper than its original prices, then its resolution is 1080p. ", "If a monitor is with a resolution of 1080p, then it does not support the type-c port. ", "LG34 is equipped in the lab. " ]

[ "∃x (Lab(x) ∧ AOC(x))", "∀x (Lab(x) → Cheaper(x))", "∀x (Cheaper(x) → A1080p(x))", "∀x (A1080p(x) → ¬TypeC(x))", "Lab(lg-34)" ]

[ "Some monitors equipped in the lab are produced by the company named AOC. ", "All monitors equipped in the lab are cheaper than their original prices. ", "If the monitor is cheaper than its original prices, then its resolution is 1080p. ", "If a monitor is with a resolution of 1080p, then it does not support the type-c port. ", "LG34 is equipped in the lab. " ]

[ "∃x (Lab(x) ∧ AOC(x))", "∀x (Lab(x) → Cheaper(x))", "∀x (Cheaper(x) → A1080p(x))", "∀x (A1080p(x) → ¬TypeC(x))", "Lab(lg-34)" ]