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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)) |
Rina doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. | ¬WantToBeAddictedTo(rina, caffeine) ∨ (¬AwareThatDrug(rina, caffeine)) |
Rina eith doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. | ¬WantToBeAddictedTo(rina, caffeine) ⊕ ¬AwareThatDrug(rina, caffeine) |
Rina either regularly drinks coffee or is unaware that caffeine is a drug. | DrinkRegularly(rina, coffee) ⊕ IsUnawareThatCaffeineIsADrug(rina) |
If Rina either doesn't want to be addicted to caffeine and is unaware that caffeine is a drug, or neither doesn't want to be addicted to caffeine nor is unaware that caffeine is a drug, then Rina doesn't want to be addicted to caffeine and regularly drinks coffee. | (DoNotWantToBeAddictedToCaffeine(rina) ⊕ ¬AwareThatDrug(rina, caffeine)) → ¬(¬WantToBeAddictedTo(rina, caffeine) ∧ DrinkRegularly(rina, coffee)) |
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) |
Miroslav Venhoda loved music. | Love(miroslav, music) |
A Czech published a book in 1946. | ∃x ∃y (Czech(x) ∧ PublishedBook(x, y, year1946)) |
No choral conductor specialized in the performance of Renaissance. | ∀x (ChoralConductor(x) → ¬SpecializeInPerformanceOf(x, renaissanceMusic)) |
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 sea eel is an eel. | Eel(seaEel) |
The sea eel is bacteria. | Bacteria(seaEel) |
The sea eel is multicellular or is bacteria. | Multicellular(seaEel) ∨ Bacteria(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) |
A five-story building is built in 1915. | ∃x (Building(x) ∧ Five-Story(x) ∧ ConstructedIn(x, year1915)) |
The Blake McFall Company Building is located in Portland, Oregon. | LocatedIn(blakeMcFallCompanyBuilding, portland) |
John started his current job in 1990. | StartCurrentJobIn(john, year1990) |
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)) |
William Dickinson did not get a seat in Parliament. | SatIn(williamDickinson, parliament) |
William Dickinson went to schools located in the United Kingdom for both high school and university. | ∃x ∃y (Attended(williamDickinson, x) ∧ Highschool(x) ∧ LocatedIn(x, unitedKingdom) ∧ Attended(williamDickinson, y) ∧ University(y) ∧ LocatedIn(y, unitedKingdom)) |
William Dickinson attended university in the United Kingdom. | ∃x (Attended(williamDickinson, x) ∧ University(x) ∧ LocatedIn(x, unitedKingdom)) |
William Dickinson sat in the House of Commons. | SatIn(williamDickinson, houseOfCommons) |
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) |
Danil knows LanguageA. | Know(danil, 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) |
Lily goes to cinemas every week. | GoToEveryWeek(lily, cinema) |
Lily does not go to cinemas every week. | ¬GoToEveryWeek(lily, cinema) |
Lily goes to cinemas every week or watches 3 movies every week without any additional fees. | GoToEveryWeek(lily, cinema) ∨ EligibleForThreeFreeMoviesWithoutAdditionalFees(lily) |
If Lily does not both go to cinemas every week and subscribe to HBO service, then Lily is either available to watch 3 movies every week without any additional fees or she prefers TV more. | (GoToEveryWeek(lily, cinema) ∧ SubscribedTo(lily, hBO)) → (EligibleForThreeFreeMoviesEveryWeek(lily) ⊕ Prefer(lily, tVSeries)) |
If Lily is available to watch 3 movies every week without any additional fees and she watches TV series in cinemas, then she goes to cinemas every week and prefers TV series more. | (EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(lily) ∧ WatchIn(lily, tV, cinema)) → (GoToEveryWeek(lily, cinema) ∧ Prefer(lily, tVSeries)) |
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) |
Real Madrid ranks higher than Barcelona. | RankHigherThan(realMadrid, barcelona) |
Barcelona ranks higher than Real Madrid. | RankHigherThan(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) |
Tom uses the zip code 98199. | UseZipCode(tom, num98199) |
Tom doesn't use the zip code 98199. | ¬UseZipCode(tom, num98199) |
Tom is a citizen of Washington. | ResidentOf(tom, washington) |
Daniel is a citizen of Lawton Park. | ResidentOf(daniel, lawtonPark) |
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) |
Tiffany T. Alston was suspended from the Maryland House of Delegates. | Suspended(tiffanyTAlston) |
Tiffany T. Alston was not suspended from the Maryland House of Delegates. | ¬Suspended(tiffanyTAlston) |
Tiffany T. Alston went to prison for stealing government funds. | Prison(tiffanyTAlston) |
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)) |
If a stonefish stings you and you don’t use an antivenom, it can cause death to you. | ∀x (Sting(stonefish, x) ∧ ¬UseAntivenomOn(x) → CauseDeathTo(stonefish, x)) |
Stings of some fish can cause death if not treated. | ∃x ∃y (Fish(x) ∧ Sting(x, y) ∧ ¬Treated(y) → CauseDeathTo(x, y)) |
If you step on a stonefish and apply heat to the affected area, it can cause death to you. | ∀x (SteppedOnBy(stonefish, x) ∧ ApplyHeatTo(x) → CauseDeathTo(stonefish, 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)) |
The monitor L-2021 is in the library. | In(l-2021, library) |
The monitor L-2021 is either in the library or produced by LG. | In(l-2021, library) ⊕ ProducedBy(l-2021, lG) |
The L-2021 monitor either has a type-c port or is produced by LG. | Have(l-2021, typeCPort) ⊕ ProducedBy(l-2021, lG) |
If the L-2021 monitor is either in the library and produced by LG, or neither in the library nor produced by LG, then L-2021 neither has a type-c port nor is produced by LG. | ¬(In(l-2021, library) ⊕ ProducedBy(l-2021, lG)) → (¬Have(x, typeCPort) ∧ ¬ProducedBy(x, lG)) |
If the monitor L-2021 is either produced by LG and produced before 2010 or neither produced by LG nor produced before 2010, then L-2021 is either in the library or produced by LG. | ¬(ProducedBefore(l-2021, year2010) ⊕ ProducedBy(l-2021, lG)) → (In(l-2021, library) ⊕ 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)) |
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