NL stringclasses 1k
values | FOL stringlengths 1 817 ⌀ |
|---|---|
All people who regularly drink coffee are dependent on caffeine. | ∀x (Drinks(x) → Dependent(x)) |
People either regularly drink coffee or joke about being addicted to caffeine. | ∀x (Drinks(x) ⊕ Jokes(x)) |
No one who jokes about being addicted to caffeine is unaware that caffeine is a drug. | ∀x (Jokes(x) → ¬Unaware(x)) |
Rina is either a student and unaware that caffeine is a drug, or neither a student nor unaware that caffeine is a drug. | (Student(rina) ∧ Unaware(rina)) ⊕ ¬(Student(rina) ∨ Unaware(rina)) |
If Rina is not a person dependent on caffeine and a student, then Rina is either a person dependent on caffeine and a student, or neither a person dependent on caffeine nor a student. | ¬(Dependent(rina) ∧ Student(rina)) → (Dependent(rina) ∧ Student(rina)) ⊕ ¬(Dependent(rina) ∨ Student(rina)) |
Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music. | Czech(miroslav) ∧ ChoralConductor(miroslav) ∧ Specialize(miroslav, renaissance) ∧ Specialize(miroslav, baroque) |
Any choral conductor is a musician. | ∀x (ChoralConductor(x) → Musician(x)) |
Some musicians love music. | ∃x (Musician(x) → Love(x, music)) |
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | Book(methodOfStudyingGregorianChant) ∧ Author(miroslav, methodOfStudyingGregorianChant) ∧ Publish(methodOfStudyingGregorianChant, year1946) |
All eels are fish. | ∀x (Eel (x)→ Fish (x)) |
No fish are plants. | ∀x (Fish (x)→ ¬ Plant (x)) |
A thing is either a plant or animal. | ∀x ( Plant (x) ∨ Animal (x)) |
Nothing that breathes is paper. | ∀x (Breathe (x)→ ¬ Paper (x)) |
All animals breathe. | ∀x (Animal (x)→ Breathe (x)) |
If a sea eel is either an eel or a plant, then a sea eel is an eel or an animal. | Eel (seaEel) ⊕ Plant (seaEel) → Eel (seaEel) ∨ Animal (seaEel) |
The Blake McFall Company Building is a commercial warehouse listed on the National Register of Historic Places. | ∀x (Blake(x) → Building(x)) |
The Blake McFall Company Building was added to the National Register of Historic Places in 1990. | ∀x (Blake(x) → Historic(x, year1990)) |
The Emmet Building is a five-story building in Portland, Oregon. | ∀x (Emmet(x) → Building(x) ∧ FiveStory(x) ∧ Locate(x, portland)) |
The Emmet Building was built in 1915. | ∀x (Emmet(x) → Construct(x, year1915)) |
The Emmet Building is another name for the Blake McFall Company Building. | ∀x (Emmet(x) ↔ Blake(x)) |
John works at the Emmet Building. | ∃x (Emmet(x) ∧ Work(john, x)) |
William Dickinson was a British politician who sat in the House of Commons | BritishPolitician(williamdickinson) ∧ SatInHouseOfCommons(williamdickinson) |
William Dickinson attended Westminster school for high school and then the University of Edinburgh. | Attended(williamdickinson, westminster) ∧ Highschool(westminster) ∧ Attended(williamdickinson, universityofedinburgh) |
The University of Edinburgh is a university located in the United Kingdom. | LocatedIn(universityofedinburgh, unitedkingdom) ∧ University(universityofedinburgh) |
William Dickinson supported the Portland Whigs. | Supported(williamdickinson, portlandwhigs) |
People who supported the Portland Whigs did not get a seat in the Parliament. | ∀x (Supported(x, portlandwhigs) → ¬SeatInParliament(x)) |
LanguageA is a universal language | UniversalLanguage(languageA) |
If a universal language exists, then for every two people if they both know the same universal language they can communicate. | ∀x ∀y (∃z (Know(x, z) ∧ Know(y, z) ∧ UniversalLanguage(z)) → Communicate(x, y)) |
Katya cannot communicate with Danil. | Know(katya, languageA) |
Katya knows LanguageA. | ¬Communicate(katya, danil) |
All customers who are subscribed to AMC List are available to watch 3 movies every week without any additional fees. | ∀x (AMC(x) → ThreeMovies(x)) |
Some customers go to cinemas every week | ∃x (CinemaEveryWeek(x)) |
Customers either subscribe to AMC service or HBO service. | ∀x (AMC(x) ∨ HBO(x)) |
Customers who prefer TV series more and will not watch TV series in cinemas. | ∀x (PreferTVSeries(x) → ¬WatchTVInCinema(x)) |
All customers who subscribe to HBO services prefer TV series to movies. | ∀x (HBO(x) → PreferTVSeries(x)) |
James watches TV series in cinemas. | WatchTVInCinema(james) |
A La Liga soccer team ranks higher than another if it receives more points. | ∀x ∀y (LaLiga(x) ∧ LaLiga(y) ∧ MorePoints(x, y) → HigherRank(x, y)) |
If two La Liga soccer teams recieve the same points, the team which recieves more points from the games between the two teams ranks higher. | ∀x ∀y (LaLiga(x) ∧ LaLiga(y) ∧ ¬MorePoints(x, y) ∧ ¬MorePoints(y, x) ∧ MorePointsInGameBetween(x, y) → HigherRank(x, y)) |
Real Madrid and Barcelona are both La Liga soccer teams. | LaLiga(realMadrid) ∧ LaLiga(barcelona) |
In La Liga 2021-2022, Real Madrid recieves 86 points and Barcelon recieves 73 points. | MorePoints(realMadrid, barcelona) |
In La Liga 2021-2022, Real Madrid and Barcelona both recieve 3 points from the games between them. | ¬MorePointsInGameBetween(realMadrid, barcelona) ∧ ¬MorePointsInGameBetween(barcelona, realMadrid) |
Lawton Park is a neighbourhood in Seattle. | Neighbourhoodin(lawtonPark, seattle) |
All citizens of Lawton Park use the zip code 98199. | ∀x (Citizenof(x, lawtonPark) → Usezipcode(x, number98199)) |
Tom is a citizen of Lawton Park. | Citizenof(tom, lawtonPark) |
Daniel uses the zip code 98199. | Usezipcode(daniel, number98199) |
If a legislator is found guilty of stealing government funds, they will be suspended from office. | ∀x (IsLegislator(x) ∧ StealsFunds(x) → Suspended(x)) |
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013. | IsLegislator(tiffanyTAlston) |
Tiffany T. Alston was found guilty of stealing government funds in 2012. | StealsFunds(tiffanyTAlston) |
Some fish may sting. | ∃x ∃y (Fish(x) → Sting(x,y)) |
Stonefish is a fish. | Fish(stonefish) |
It stings to step on a stonefish. | ∀x (StepOn(stonefish, x) → Sting(stonefish, x)) |
Stonefish stings cause death if not treated. | ∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeath(x)) |
To treat stonefish stings, apply heat to the affected area or use an antivenom. | ∀x (Sting(stonefish, x) ∧ (ApplyHeat(x) ∨ UseAntivenom(x)) → Treated(x)) |
Some monitors produced by LG have a type-c port. | ∃x (LG(x) ∧ TypeC(x)) |
If the monitor has a type-c port, then it is not produced by AOC. | ∀x (TypeC(x) → ¬AOC(x)) |
All monitors in the library are produced by AOC. | ∀x (Library(x) → AOC(x)) |
L-2021 is either in the library or has a type-c port. | Library(l-2021) ⊕ TypeC(l-2021) |
L-2021 is either produced by AOC and produced by LG, or neither produced by AOC nor produced by LG. | ¬(AOC(l-2021) ⊕ LG(l-2021)) |
People eat meat regularly or are vegetation. | ∀x (Meat(x) ∨ Vegetarian(x)) |
If people eat meat regularly, then they enjoy eating hamburgers and steaks. | ∀x (Meat(x) → Hamburgers(x)) |
All people who are vegetarian are conscious of the environment or their health. | ∀x (Vegetarian(x) → Conscious(x)) |
If people are conscious about the environment or their health, then they do not go to fast food places often. | ∀x (Conscious(x) → ¬FastFood(x)) |
If people have busy schedules without time to cook, then they go to fast food places often. | ∀x (Busy(x) → FastFood(x)) |
If Jeremy does not both go to fast food places often and is conscious about the environment or their health, then he goes to fast food places often. | ¬(FastFood(jeremy) ∧ Conscious(jeremy)) → FastFood(jeremy) |
Sam is doing a project. | ∃x (Project(x) ∧ Do(sam, x)) |
A project is written either in C++ or in Python. | ∀x (Project(x) → (WrittenIn(x, python) ⊕ WrittenIn(x, c++))) |
If Sam does a project written in Python, he will not use a Mac. | ∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac)) |
Sam is using a Mac. | Use(sam, mac) |
If Sam uses a Mac, he will play a song. | Use(sam, mac) → ∃x (Song(x) ∧ Play(sam, x)) |
If a song is not "Perfect", Sam will never play it. | ∀x (¬Be(x, perfect) → ¬Play(sam, x)) |
All rabbits have fur | ∀x (Rabbit(x) → HasFur(x)) |
Some pets are rabbits. | ∃x (Pet(x) ∧ Reptile(x)) |
All video applications are software. | ∀x (App(x) → Software(x)) |
All YouTube-related applications are video applications. | ∀x (Youtube(x) → App(x)) |
An APP is either related to YouTube or Instagram. | ∀x (Youtube(x) ∨ Instagram(x)) |
All Instagram is entertainment. | ∀x (Instagram(x) → Entertainment(x)) |
All software is programmed. | ∀x (Software(x) → Program(x)) |
All entertainments are interesting. | ∀x (Entertainment(x) → Interesting(x)) |
If something is interesting, then it is good. | ∀x (Interesting(x) → Good(x)) |
TikTok is not good. | ¬Good(tiktok) |
Ordinary is an unincorporated community. | UnincorporatedCommunity(ordinary) |
Located within Elliot County, Ordinary is on Kentucky Route 32. | In(ordinary, elliotcounty) ∧ On(ordinary, kentuckyroute32) |
Ordinary is located northwest of Sandy Hook. | NorthwestOf(ordinary, sandyhook) |
All young adults go on a diet. | ∀x (YoungAdult(x) → GoOnDiet(x)) |
All college students are young adults. | ∀x (CollegeStudent(x) → YoungAdult(x)) |
All Yale students are college students. | ∀x (YaleStudent(x) → CollegeStudent(x)) |
Someone is either a Yale student or a Harvard student. | ∀x (YaleStudent(x) ∨ HarvardStudent(x)) |
All Harvard students are diligent. | ∀x (HarvardStudent(x) → Diligent(x)) |
If Susan is a Harvard student, then she is a young adult. | HarvardStudent(susan) → YoungAdult(susan) |
If Susan is a Yale student, then she does not go on a diet. | YaleStudent(susan) → ¬GoOnDiet(susan) |
Vic DiCara plays guitar and bass. | Play(vicdicara, guitar) ∧ Play(vicdicara, bass) |
The only style of music Vic DiCara plays is punk music. | ¬(∃x (Music (vicdicara, punk) ∧ Music (vicdicara, x))) |
Vic DiCara played in the band Inside Out. | Band(vicdicara, insideOut) |
All athletes are good at sports. | ∀x (Athlete(x) → GoodAtSports(x)) |
All Olympic gold medal winners are good athletes. | ∀x (OlympicGoldMedalWinner(x) → Athlete(x)) |
No scientists are good at sports. | ∀x (Scientist(x) → ¬GoodAtSports(x)) |
All Nobel laureates are scientists. | ∀x (NobelLaureate(x) → Scientist(x)) |
Amy is good at sports or Amy is an Olympic gold medal winner. | GoodAtSports(amy) ∨ OlympicGoldMedalWinner(amy) |
If Amy is not a Nobel laureate, then Amy is not an Olympic gold medal winner. | ¬NobelLaureate(amy) → ¬OlympicGoldMedalWinner(amy) |
All fruits with the color red contain a large amount of vitamin C. | ∀x (RedFruit(x) → VC(x)) |
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