data
stringlengths 12
378
| fol
stringlengths 8
885
|
|---|---|
James is good at math and chemistry. | GoodAt(james, chemistry) ∧ GoodAt(james, math) |
James failed the class and is good at math. | Failed(james, james) ∧ GoodAt(james, math) |
If James is good at Chemistry or failed the class, then James is either good at planning or good at math. | (GoodAt(james, chemistry) ∨ Failed(james, theClass)) → (GoodAt(james, planning) ⊕ GoodAt(james, math)) |
If a Leetcode problem is at the easy level, then its AC rate is lower than 20 percent. | ∀x (Easy(x) → ∃y (LessThan(y, percent20) ∧ ACRate(x,y))) |
All Leetcode problems that are recommended to novices are easy. | ∀x (Recommended(x) → Easy(x)) |
A Leetode problem is either easy or hard. | ∀x (Easy(x) ⊕ Hard(x)) |
Leetcode problems that are starred by more than one thousand users are hard. | ∀x (Starred(x)) → Hard(x)) |
2Sum is recommended to novices. | Recommended(twosum) |
4Sum is starred by more than 1,000 users. | Starred(foursum) |
2Sum is a Leetcode problem at the easy level. | Easy(twosum) |
4Sum is a Leetcode problem recommended to the novice. | Recommended(foursum) |
2Sum has an AC rate higher than 20 percent. | ∃y(GreaterThan(y, percent20) ∧ ACRate(2Sum,y)) |
Everyone who rents a car spends money. | ∀x (Rent(x, car) → Spend(x, money)) |
Whenever Sarah goes to Vermont, Sarah drives there. | GoTo(sarah, vermont) → DriveTo(sarah, vermont) |
Someone who does not own a car to drive somewhere must either borrow a car or rent a car. | ∀x ∀y (¬Own(x, car) ∧ DriveTo(x, y) → Borrow(x, car) ⊕ Rent(x, car)) |
Sarah doesn’t own a car. | ¬Own(sarah, car) |
Sarah never borrows a car to go camping. | ∀x (Camping(sarah, x) → ¬(Borrow(sarah, car))) |
Sarah is going to go camping in Vermont. | Camping(sarah, vermont) |
To go camping somewhere, you must go to that place. | ∀x ∀y (Camping(x, y) → GoTo(x, y)) |
Sarah will spend money this weekend. | Spend(sarah, money) |
All people who attend weddings are getting married or know the people who are getting married. | ∀x (Attend(x, wedding) → GettingMarried(x) ∨ (∃y (Know(x, y) ∧ GettingMarried(y))) |
No preteens or young children are getting married or know the people who are getting married. | ∀x (PreTeen(x) ∨ YoungChild(x) → ¬(GettingMarried(x) ⊕ (∃y (Know(x, y) ∧ GettingMarried(y))))) |
People who enjoy celebrating life milestone events with other people attend weddings. | ∀x (∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) → Attend(x, wedding)) |
People who are fond of large group functions enjoy celebrating life milestone events with other people. | ∀x (FondOf(x, largeGroupFunction) → ∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEventWith, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z))) |
All people who are outgoing and spirited are fond of large group functions. | ∀x (Outgoing(x) ∧ Sprited(x) → FondOf(x, largeGroupFunction)) |
If Carol is not both a pre-teen or young child and attends a wedding, then Carol is not getting married or knows the people who are getting married. | ¬((PreTeen(carol) ∨ YoungChildren(carol)) ∧ Attend(carol, wedding)) → ¬(GettingMarried(carol) ∨ (∃y (Know(carol, y) ∧ GettingMarried(y)))) |
Carol is outgoing and very spirited. | Outgoing(carol) ∧ Sprited(carol) |
Carol is a preteen or a young child. | PreTeen(carol) ∨ YoungChild(carol) |
Carol neither enjoys celebrating life milestone events with other people nor is outgoing and very spirited. | ¬((∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) ∨ (Outgoing(carol) ∧ Sprited(carol))) |
All velvet-finish lipsticks in the Rouge Dior set, Lunar New Year Limited Edition are refillable. | ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ VelvetFinish(x)) → Refillable(x)) |
Lipsticks in the Rouge Dior set, Lunar New Year Limited Edition have either a velvet-finish or a satin-finish. | ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (VelvetFinish(x) ⊕ SatinFinish(x)) |
No satin-finish lipsticks in the set do not have "rosewood" in its offical description. | ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ SatinFinish(x)) → ¬RosewoodInDescription(x)) |
Lipstcks in the Rouge Dior set, Lunar New Year Limited Edition either does not have "rosewood" in its offical description or it has "rosewood" in its official description. | ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (RosewoodInDescription(x) ⊕ ¬RosewoodInDescription(x))) |
ROUGE Dior Colored Lip Balm 999 is a lipstick in the set, and it either has "rosewood" in its official description or has a velvet finish. | Lipstick(rougeDiorColoredLipBalm999) ∧ In(rougeDiorColoredLipBalm999, rougeDiorSet) ∧ In(rougeDiorColoredLipBalm999, lunarNewYearLimitedEdition) ∧ (RosewoodInDescription(rougeDiorColoredLipBalm999) ⊕ VelvetFinish(rougeDiorColoredLipBalm999)) |
ROUGE Dior Colored Lip Balm 999 has a satin finish. | SatinFinish(rougeDiorColoredLipBalm999) |
ROUGE Dior Colored Lip Balm 999 has a satin finish and has "rosewood" in its official description. | Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999) |
ROUGE Dior Colored Lip Balm 999 either is refillable or has "rosewood" in its official description. | Refillable(rougeDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999) |
If ROUGE Dior Colored Lip Balm 999 is not both a velvet finish ipstick in the set and refillable, then it neither is refillable nor has "rosewood" in its official description. | ¬((Lipstick(rougeDiorColoredLipBalm999) ∧ In(rougeDiorColoredLipBalm999, rougeDiorSet) ∧ In(rougeDiorColoredLipBalm999, lunarNewYearLimitedEdition) ∧ VelvetFinish(rougeDiorColoredLipBalm999) ∧ Refillable(rougeDiorColoredLipBalm999)) → (¬Refillable(rougeDiorColoredLipBalm999) ∧ ¬RosewoodInDescription(rougeDiorColoredLipBalm999))) |
If ROUGE Dior Colored Lip Balm 999 is refillable and has "rosewood" in its official description, then it either has a velvet-finish or has "rosewood" in its official description. | (Refillable(rougeDiorColoredLipBalm999) ∧ RosewoodInDescription(rougeDiorColoredLipBalm999)) —> (VelvetFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) |
If ROUGE Dior Colored Lip Balm 999 either does not have "rosewood" in its official description or is refillable, then it has "rosewood" in its official description. | (¬RosewoodInDescription(rougeEDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → RosewoodInDescription(rougeDiorColoredLipBalm999) |
If ROUGE Dior Colored Lip Balm 999 either does not have "rosewood" in its official description or is refillable, then it neither has a satin-finish nor has "rosewood" in its official description. | (RosewoodInDescription(rougeDiorColoredLipBalm999) ⊕ Refillable(rougeDiorColoredLipBalm999)) → ¬(SatinFinish(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) |
If ROUGE Dior Colored Lip Balm 999 is refillable or has "rosewood" in its official description, then it either is refillable or has "rosewood" in its official description.. | (Refillable(rougeDiorColoredLipBalm999) ∨ RosewoodInDescription(rougeDiorColoredLipBalm999)) → (Refillable(rougeEDiorColoredLipBalm999) ⊕ RosewoodInDescription(rougeDiorColoredLipBalm999)) |
All Senate Republicans are elected officials. | ∀x (SenateRepublican(x) → ElectedOfficial(x)) |
Some elected officials are not conservatives. | ∃x ∃y (ElectedOfficial(x) ∧ ElectedOfficial(y) ∧ ¬Conservative(x) ∧ ¬Conservative(y) ∧ ¬(x=y)) |
Some conservatives are not Senate Republicans. | ∃x ∃y (Conservative(x) ∧ Conservative(y) ∧ ¬SenateRepublican(x) ∧ ¬SenateRepublican(y) ∧ ¬(x=y)) |
No athletes never exercise. | ∀x (Athlete(x) → ¬NeverExercises(x)) Never: does not exist a time |
All professional basketball players are athletes. | ∀x (ProfessionalBasketballPlayer(x) → Athlete(x)) |
All NBA players are professional basketball players. | ∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x)) |
All Knicks players are NBA players. | ∀x (KnicksPlayer(x) → NBAPlayer(x)) |
Either John is a professional basketball player and he never exercises, or he is not a professional basketball player and he sometimes exercises. | ¬(ProfessionalBasketballPlayer(jim) ⊕ NeverExercises(jim)) |
Jim is a Knicks player. | KnicksPlayer(jim) |
Jim is not a Knicks player. | ¬KnicksPlayer(jim) |
Jim is an athlete. | Athlete(jim) |
All kids are young. | ∀x (Kid(x) → Young(x)) |
All toddlers are kids. | ∀x (Toddler(x) → Kid(x)) |
If someone is young, then they are not elderly. | ∀x (Young(x) → ¬Elderly(x)) |
All pirates are seafarers. | ∀x (Pirate(x) → Seafarer(x)) |
If Nancy is not a pirate, then Nancy is young. | ¬Pirate(nancy) → Young(nancy) |
If Nancy is not a toddler, then Nancy is a seafarer. | ¬Toddler(nancy) → Seafarer(nancy) |
Nancy is a pirate. | Pirate(nancy) |
Nancy is either both a pirate and a toddler, or neither a pirate nor a toddler. | ¬(Pirate(nancy) ⊕ Toddler(nancy)) |
If Nancy is not either a pirate or a toddler, then she is young and is a kid. | ¬(Pirate(nancy) ⊕ Toddler(nancy)) → Young(nancy) ∧ Kid(nancy) |
Lana Wilson directed After Tiller, The Departure, and Miss Americana. | DirectedBy(afterTiller, lanaWilson) ∧ DirectedBy(theDeparture, lanaWilson) ∧ DirectedBy(missAmericana, lanaWilson) |
If a film is directed by a person, the person is a filmmaker. | ∀x ∀y (DirectedBy(x, y) → Filmmaker(y)) |
After Tiller is a documentary. | Documentary(afterTiller) |
The documentary is a type of film. | ∀x (Documentary(x) → Film(x)) |
Lana Wilson is from Kirkland. | From(lanaWilson, kirkland) |
Kirkland is a US city. | In(kirkland, unitedStates) |
If a person is from a city in a country, the person is from the country. | ∀x ∀y ∀z ((From(x, y) ∧ In(y, z)) → From(x, z)) |
After Tiller is nominated for the Independent Spirit Award for Best Documentary. | Nomination(afterTiller, theIndependentSpiritAwardForBestDocumentary) |
Lana Wilson is a US filmmaker. | From(lanaWilson, unitedStates) ∧ Filmmaker(lanaWilson) |
Miss Americana is not directed by a filmmaker from Kirkland. | ¬∃x(Filmmaker(x) ∧ From(x, kirkland) ∧ DirectedBy(missAmericana, x)) |
Lana Wilson has won the Independent Spirit Award. | FilmmakerAward(lanaWilson, theIndependentSpiritAwardForBestDocumentary) |
All bears in zoos are not wild. | ∀x ((Bear(x) ∧ In(x, zoo)) → ¬Wild(x)) |
Some bears are in zoos. | ∃x ∃y (Bear(x) ∧ Bear(y) ∧ In(x, zoo) ∧ In(y, zoo) ∧ ¬(x=y)) |
Not all bears are wild. | ∃x (Bear(x) ∧ ¬Wild(x)) |
If a person is the leader of a country for life, that person has power. | ∀x (Leader(x) → HavePower(x)) |
Leaders of a country for life are either a king or a queen. | ∀x (Leader(x) → (King(x) ⊕ Queen(x))) |
Queens are female. | ∀x (Queen(x) → Female(x)) |
Kings are male. | ∀x (King(x) → Male(x)) |
Elizabeth is a queen. | Queen(elizabeth) |
Elizabeth is a leader of a country for life. | Leader(elizabeth) |
Elizabeth is a king. | King(elizabeth) |
Elizabeth has power. | HavePower(elizabeth) |
All people who went to Clay's school and who make their own matcha teas every morning with ceremonial-grade matcha powder do not wake up late and start their schedules past noon regularly. | ∀x (GoTo(x, claysSchool) ∧ MakeWith(x, theirOwnMatchTea, ceremonialGradePowder) → ¬(WakeUpLate(x) ∧ StartPastNoonRegularly(x, schedule))) |
All people who went to Clay's school, who live in California, and attend yoga classes regularly, make their own matcha teas every morning with ceremonial-grade matcha powder. | ∀x (GoTo(x, claysSchool) ∧ LiveIn(x, california) ∧ AttendRegularly(x, yogaClass) → MakeWith(x, ownMatch, ceremonialGradePowder)) |
All people who went to Clay's school, and work in the entertainment industry as high-profile celebrities, wake up late and start their schedules past noon regularly. | ∀x (GoTo(x, claysSchool) ∧ WorkInAs(x, entertainmentIndustry, highProfileCelebrity) → (WakeUpLate(x) ∧ StartPastNoonRegularly(x, schedule))) |
All people who went to Clay's school that do not have regular 9-5 jobs, work in the entertainment industry as high-profile celebrities. | ∀x (GoTo(x, claysSchool) ∧ ¬(Have(x, y) ∧ Regular(y) ∧ NineToFiveJob(y)) → WorkInAs(x, entertainmentIndustry, highProfileCelebrity)) |
All people who went to Clay's school and prefer working at home over going to the office daily do not have regular 9-5 jobs. | ∀x (GoTo(x, claysSchool) ∧ Prefer(x, workingAtHome, goingToTheOffice) → ¬(Have(x, y) ∧ Regular(y) ∧ NineToFiveJob(y))) |
Bunny went to Clay's school, and she either prefers to work at home over going to the office and makes her own matcha teas every morning with ceremonial-grade matcha powder, or does not prefer to work at home over going to the office every day and does not make her own matcha teas every morning with ceremonial-grade matcha powder. | GoTo(bunny, claysSchool) ∧ ¬(Prefer(bunny, workingAtHome, goingToTheOffice) ⊕ MakeWith(bunny, theirOwnMatchTea, ceremonialGradePowder)) |
Bunny does not have a regular 9-5 job. | Have(bunny, y) ∧ Regular(y) ∧ NineToFiveJob(y) |
Bunny went to Clay's school and she lives in California and attends yoga classes regularly. | LiveIn(bunny, california) ∧ AttendRegularly(bunny, yogaClass) |
Bunny went to Clay's school and she neither prefers working at home over going to the office nor lives in California and attends yoga classes regularly. | ¬(Prefer(bunny, workingAtHome, goingToTheOffice) ∨ (LiveIn(bunny, california) ∧ AttendRegularly(bunny, yogaClass))) |
Thomas Barber was an English professional footballer. | English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber) |
Thomas Barber played in the Football League for Aston Villa. | PlayedFor(thomasBarber, astonVilla) ∧ PlayedIn(astonVilla,theFootballLeague) |
Thomas Barber played as a halfback and inside left. | PlayedAs(thomasBarber, halfBack) ∧ PlayedAs(thomasBarber, insideLeft) |
Thomas Barber scored the winning goal in the 1913 FA Cup Final. | ScoredTheWinningGoalIn(thomasBarber, facupfinal1913) |
Thomas Barber played in the Football League for Bolton Wanderers | PlayedFor(thomasBarber, boltonWanderers) ∧ PlayedIn(boltonWanderers,theFootballLeague) |
Thomas Barber played as an inside left. | PlayedAs(thomasBarber, insideLeft) |
An English professional footballer scored the winning goal in the 1913 FA Cup Final. | ∃x (English(x) ∧ ProfessionalFootballer(x) ∧ ScoredTheWinningGoalIn(x, facupfinal1913)) |