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All people who regularly drink coffee are dependent on caffeine. | ∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine)) |
People regularly drink coffee, or they don't want to be addicted to caffeine, or both. | ∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine))) |
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug. | ∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine)) |
Rina is either a student who is unaware that caffeine is a drug, or she is not a student and is she aware that caffeine is a drug. | ¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine)) |
Rina is either a student who is dependent on caffeine, or she is not a student and not dependent on caffeine. | ¬(IsDependentOn(rina, caffeine) ⊕ Student(rina)) |
Miroslav Venhoda was a Czech choral conductor who specialized in the performance of Renaissance and Baroque music. | Czech(miroslav) ∧ ChoralConductor(miroslav) ∧ SpecializeInPerformanceOf(miroslav, renaissanceMusic) ∧ SpecializeInPerformanceOf(miroslav, baroqueMusic) |
Any choral conductor is a musician. | ∀x (ChoralConductor(x) → Musician(x)) |
Some musicians love music. | ∃x ∃y ((Musician(x) → Love(x, music)) ∧ (¬(x=y) ∧ Musician(y) → Love(y, music))) |
Miroslav Venhoda published a book in 1946 called Method of Studying Gregorian Chant. | PublishedBook(miroslav, methodOfStudyingGregorianChant, yr1946) |
All eels are fish. | ∀x (Eel(x) → Fish(x)) |
No fish are plants. | ∀x (Fish(x) → ¬Plant(x)) |
Everything displayed in the collection is either a plant or an animal. | ∀x (DisplayedIn(x, collection) → Plant(x) ⊕ Animal(x)) |
All multicellular animals are not bacteria. | ∀x (Multicellular(x) → ¬Bacteria(x)) |
All animals displayed in the collection are multicellular. | ∀x (DisplayedIn(x, collection) ∧ Animal(x) → Multicellular(x)) |
A sea eel is displayed in the collection. | DisplayedIn(seaEel, collection) |
The sea eel is an eel or an animal or not a plant. | Eel(seaEel) ∨ Animal(seaEel) ∨ ¬Plant(seaEel) |
The Blake McFall Company Building is a building added to the National Register of Historic Places in 1990. | Building(blakeMcFallCompanyBuilding) ∧ AddedToIn(blakeMcFallCompanyBuilding, theNationalRegisterOfHistoricPlaces, year1990) |
The Emmet Building is a five-story building in Portland, Oregon. | Building(emmetBuilding) ∧ Five-Story(emmetBuilding) ∧ LocatedIn(emmetBuilding, portland) ∧ LocatedIn(portland, oregon)) |
The Emmet Building was built in 1915. | BuiltIn(emmetBuilding, year1915) |
The Emmet Building is another name for the Blake McFall Company Building. | emmetBuiling=blakeMcFallCompanyBuilding |
John works at the Emmet Building. | WorkAt(john, emmetBuilding) |
William Dickinson was a British politician who sat in the House of Commons | British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons) |
William Dickinson attended Westminster school for high school and then the University of Edinburgh. | Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh) |
The University of Edinburgh is a university located in the United Kingdom. | University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom) |
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) → ¬SatIn(x, parliament)) |
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 (¬(x=y) ∧ Know(x, z) ∧ Know(y, z) ∧ UniversalLanguage(z)) → CanCommunicateWith(x, y) ∧ CanCommunicateWith(y, x)) |
Katya cannot communicate with Danil. | ¬CanCommunicateWith(katya, danil) |
Katya knows LanguageA. | Know(katya, languageA) |
All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees. | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, aMCAList)) → EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(x)) |
Some of the customers in James' family go to the cinema every week. | ∃x ∃y (Customer(x) ∧ In(x, jameSFamily) ∧ GoToEveryWeek(x, cinema) ∧ (¬(x=y)) ∧ Customer(y) ∧ In(y, jameSFamily) ∧ GoToEveryWeek(y, cinema)) |
Customers in James' family subscribe to AMC A-List or HBO service. | ∀x (Customer(x) ∧ In(x, jameSFamily) ∧ (SubscribedTo(x, aMCAList) ∨ SubscribedTo(x, hBO))) |
Customers in James' family who prefer TV series will not watch TV series in cinemas. | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ Prefer(x, tVSeries)) → (¬WatchIn(x, tV, cinema))) |
All customers in James' family who subscribe to HBO services prefer TV series to movies. | ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, hBO)) → Prefer(x, tVSeries)) |
Lily is in James' family; she watches TV series in cinemas. | Customer(lily) ∧ In(lily, jameSFamily ∧ WatchIn(lily, tV, cinema) |
A La Liga soccer team ranks higher than another La Liga soccer team if it receives more points. | ∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ MorePoints(x, y) → RankHigherThan(x, y)) |
If there are two La Liga soccer teams and neither has more points than the other, then the team which receives more points from the games between the two teams ranks higher. | ∀x ∀y (LaLigaSoccerTeam(x) ∧ LaLigaSoccerTeam(y) ∧ ¬MorePoints(x, y) ∧ ¬MorePoints(y, x) ∧ MorePointsInGameBetween(x, y) → RankHigherThan(x, y)) |
Real Madrid and Barcelona are both La Liga soccer teams. | LaLigaSoccerTeam(realMadrid) ∧ LaLigaSoccerTeam(barcelona) |
Real Madrid received more points than Barcelona. | MorePoints(realMadrid, barcelona) |
Neither Real Madrid nor Barcelona received more points from the games between them. | ¬MorePointsInGameBetween(realMadrid, barcelona) ∧ ¬MorePointsInGameBetween(barcelona, realMadrid) |
Lawton Park is a neighborhood in Seattle. | NeighbourhoodIn(lawtonPark, seattle) |
All citizens of Lawton Park use the zip code 98199. | ∀x (Residentof(x, lawtonPark) → UseZipCode(x, num98199)) |
Tom is a citizen of Lawton Park. | ResidentOf(tom, lawtonPark) |
Daniel uses the zip code 98199. | UseZipCode(daniel, num98199) |
If a legislator is found guilty of stealing government funds, they will be suspended from office. | ∀x ((Legislator(x) ∧ StealsFunds(x)) → Suspended(x)) |
Tiffany T. Alston was a legislator in Maryland's House of Delegates from 2011 to 2013. | Legislator(tiffanyTAlston) |
Tiffany T. Alston was found guilty of stealing government funds in 2012. | StealsFunds(tiffanyTAlston) ∧ StealsFundsInYr(tiffanyTAlston, yr2012) |
Some fish stings people. | ∃x ∃y (Fish(x) → Sting(x,y)) |
Stonefish is a fish. | Fish(stonefish) |
Stonefish stings when stepped on. | ∀x (SteppedOnBy(stonefish, x) → Sting(stonefish, x)) |
If a stonefish stings someone and they are not treated, it can cause death to them. | ∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeathTo(stonefish, x)) |
To treat stonefish stings, apply heat to the affected area or use an antivenom. | ∀x (Sting(stonefish, x) ∧ (ApplyHeatTo(x) ∨ UseAntivenomOn(x)) → Treated(x)) |
Some monitors made by LG have a type-c port. | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort)) |
Monitors that have a type-c port were not made before 2010. | ∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010)) |
All monitors in the library are made before 2010. | ∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010)) |
The L-2021 monitor is either used in the library or has a type-c port. | Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort)) |
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true. | ¬(ProducedBefore(l-2021, yr2010) ⊕ ProducedBy(l-2021, lG)) |
Everything is either outside the solar system or in the solar system. | ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem)) |
Nothing outside the solar system has the Sun as its star. | ∀x (Outside(x, solarSystem) → ¬SunAs(x, star)) |
Everything in the solar system is gravitationally bound by the Sun. | ∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally)) |
No planets gravitationally bound by the Sun are rogue planets. | ∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x))) |
All orphan planets are rogue planets. | ∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x)) |
If PSO J318.5−22 is not both a rogue planet and a planet gravitationally bound by the Sun, then it is a rogue planet. | ¬(Planet(pSOJ318.5-22) ∧ Rogue(pSOJ318.5-22) ∧ BoundBy(pSOJ318.5-22, sun, gravitationally)) → (Planet(pSOJ318.5-22) ∧ Rogue(pSOJ318.5-22)) |
Sam is doing a project. | ∃x (Project(x) ∧ Do(sam, x)) |
A project is written either in C++ or Python. | ∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python))) |
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. | ∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x)) |
If a song is not titled "Perfect," Sam will never play it. | ∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect)) |
All rabbits have fur | ∀x (Rabbit(x) → Have(x, fur)) |
Some pets are rabbits. | ∃x (Pet(x) ∧ Rabbit(x)) |
All social media applications containing chat features are software. | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, chatFeature) → Software(x)) |
All social media applications that allow users to send messages to each other have chat features. | ∀x (SocialMedia(x) ∧ Application(x) ∧ AllowToSendTo(x, user, message) → Contain(x, chatFeature)) |
All social media applications have chat features or video features. | ∀x (SocialMedia(x) ∧ Application(x) → Contain(x, chatFeature) ∨ Contain(x, videoFeature)) |
All social media applications that have video features allow users to upload videos. | ∀x (SocialMedia(x) ∧ Application(x) ∧ Contain(x, videoFeature) → Allow(x, user, uploadVideo)) |
All software that is social media applications are computer programs. | ∀x (SocialMedia(x) ∧ Application(x) ∧ Software(x) → ComputerProgram(x)) |
All social media applications that have high engagement metrics are addictive. | ∀x (SocialMedia(x) ∧ Application(x) ∧Have(x, highEngagementMetric) → Addictive(x)) |
If a social media application is addictive, then it is not ideal for preteens. | ∀x (SocialMedia(x) ∧ Application(x) ∧ Addictive(x) → ¬IdealFor(x, preteen)) |
TikTok is a social media application, and it is not ideal for preteens. | SocialMedia(tikTok) ∧ Application(tikTok) ∧ ¬IdealFor(tikTok, preteen) |
Ordinary is an unincorporated community. | UnincorporatedCommunity(ordinary) |
Located within Elliot County, Ordinary is on Kentucky Route 32. | LocatedIn(ordinary, elliotCounty) ∧ On(ordinary, kentuckyRoute32) |
Ordinary is located northwest of Sandy Hook. | LocatedNorthwestOf(ordinary, sandyHook) |
All young adults at the event like independence. | ∀x (At(x, event) ∧ YoungAdult(x) → Like(x, independence)) |
All college students at the event are young adults. | ∀x (At(x, event) ∧ CollegeStudent(x) → YoungAdult(x)) |
All Yale students at the event are college students. | ∀x (At(x, event) ∧ YaleStudent(x) → CollegeStudent(x)) |
Everyone at the event is a Yale student or a Harvard student. | ∀x (At(x, event) → (YaleStudent(x) ⊕ HarvardStudent(x))) |
All Harvard students at the event are diligent. | ∀x (At(x, event) ∧ HarvardStudent(x) → Diligent(x)) |
Susan is at the event, and if Susan is a Harvard student, then she is a young adult. | At(susan, event) ∧ (HarvardStudent(susan) → YoungAdult(susan)) |
If Susan is a Yale student, then she does not like independence. | YaleStudent(susan) → ¬Like(susan, independence) |
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, x) → ¬(x=punk))) |
Vic DiCara played in the band Inside Out. | Band(vicDicara, insideOut) |
All professional athletes spend most of their time on sports. | ∀x (ProfessionalAthlete(x) → SpendOn(x, mostOfTheirTime, sports)) |
All Olympic gold medal winners are professional athletes. | ∀x (OlympicGoldMedalWinner(x) → ProfessionalAthlete(x)) |
No full-time scientists spend the majority of their time on sports. | ∀x (FullTimeScientist(x) → ¬SpendOn(x, mostOfTheirTime, sports)) |
All Nobel physics laureates are full-time scientists. | ∀x (NobelPhysicsLaureate(x) → FullTimeScientist(x)) |
Amy spends the most time on sports, or Amy is an Olympic gold medal winner. | SpendOn(amy, mostOfTheirTime, sports) ∨ OlympicGoldMedalWinner(amy) |
If Amy is not a Nobel physics laureate, then Amy is not an Olympic gold medal winner. | ¬NobelPhysicsLaureate(amy) → ¬OlympicGoldMedalWinner(amy) |
All red fruits that grow in Ben's yard contain some Vitamin C. | ∀x ((GrownIn(x, benSYard) ∧ RedFruit(x)) → Contain(x, vitaminC)) |