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There is a strong analogy of human aging in the poem Catullus 4. | Poem(catullus4) ∧ StrongAgingAnalogy(catullus4) |
Catullus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves. | Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ Convey(catullus4, aSenseOfSpeedOverTheWaves) |
There is a poem written by an ancient Roman writer with a strong analogy of human aging. | ∃x ∃y (Poem(x) ∧ WrittenBy(x, y) ∧ AncietRomanWriter(y) ∧ StrongAgingAnalogy(x)) |
There is a poem written by an ancient Roman writer in iambic trimeter. | ∃x ∃y (Poem(x) ∧ WrittenBy(x, y) ∧ AncientRomanWriter(y) ∧ WrittenIn(x, iambicTrimeter)) |
Callus 4 is written in an unusual iambic trimeter to convey a strong analogy of human aging. | Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ StrongAgingAnalogy(catullus4) |
Westworld is an American science fiction-thriller TV series. | American(westworld) ∧ ScienceFictionThriller(westworld) |
In 2016, a television series named Westworld debuted on HBO. | Debut(westworld, year2016) ∧ TvSeries(westworld) |
The TV series Westworld is adapted from the original film in 1973, which was written and directed by Michael Crichton. | Adapted(westworld, westworldTheFilm) ∧ Produce(westworldTheFilm, year1973) ∧ Wrote(michael, westworldTheFilm) ∧ Directed(michael, westworldTheFilm) |
The 1973 film Westworld is about robots that malfunction and begin killing human visitors. | Film(westworldTheFilm) ∧ About(westworldTheFilm, malfunctioningRobots) |
Michael Crichton has directed a film about malfunctioning robots. | ∃x (Film(x) ∧ Directed(michael, x) ∧ About(x, malfunctioningRobots)) |
An American TV series debuted in 2016. | ∃x (TVSeries(x) ∧ American(x) ∧ Debut(x, year2016)) |
The 2008 Summer Olympics were held in Beijing, China. | HeldIn(2008SummerOlympics, beijingChina) |
The 2008 Summer Olympics was the second Summer Olympic Games held in a communist state. | SecondSummerOlympicsGames(2008SummerOlympics) ∧ BeHeldIn(2008SummerOlympics, communistState) |
China won the most gold medals (48) in the 2008 Summer Olympics. | Won(china, theMostGoldMedals) |
The United States placed second in the gold medal tally but won the highest number of medals overall (112) in the 2008 Summer Olympics. | PlacedSecondInGoldMedalsIn(unitedStates, 2008SummerOlympics) ∧ Won(unitedStates, highestNumberOfMedals) |
The third place in the gold medal tally was achieved by Russia in the 2008 Summer Olympics. | PlacedThirdInGoldMedalsIn(russia, 2008SummerOlympics) |
If a country placed third in gold medals, then it had fewer gold medals than the team that won the most gold medals. | ∀x ∀y (Placed(x, thirdInGoldMedals) ∧ Won(y, mostGoldMedals) → FewerGoldMedalsThan(x, y)) |
Russia did not win fewer gold medals than China. | ¬FewerGoldMedalsThan(russia, china) |
Russia won fewer gold medals than China. | FewerGoldMedalsThan(russia, china) |
Xiufeng, Xiangshan, Diecai, Qixing are districts in the city of Guilin. | DistrictIn(xiufeng, guilin) ∧ DistrictIn(xiangshan, guilin) ∧ DistrictIn(diecai, guilin) ∧ DistrictIn(qixing, guilin) ∧ City(guilin) |
Yangshuo is not a district in Guilin. | ¬DistrictIn(yangshuo, guilin) |
Xiangshan and Diecai are districts in the same city. | ∃x (DistrictIn(xiangshan, x) ∧ DistrictIn(diecai, x) ∧ City(x)) |
Xiufeng is a district in Guilin. | DistrictIn(xiufeng, guilin) |
Kowloon District is in Hong Kong. | DistrictIn(kowloon, hongKong) |
All of Michael's neighbors who grow their own fresh vegetables in their home gardens also have ample space. | ∀x (MichaelsNeightbor(x) ∧ GrowIn(x, vegetable, garden) → Have(x, ampleSpace)) |
All of Michael's neighbors who are young working professionals and live in large cities, do not have ample space. | ∀x (MichaelsNeightbor(x) ∧ YoungWorkingProfession(x) ∧ LiveIn(x, largeCity) → ¬Have(x, ampleSpace)) |
All of Michael's neighbors who order takeout from delivery services often grow their own fresh vegetables in their home garden. | ∀x (MichaelsNeightbor(x) ∧ OrderOften(x, takeout) → Grow(x, vegetable, garden)) |
All of Michael's neighbors who enjoy going out often to restaurants with friends order takeout from delivery services often. | ∀x (MichaelsNeightbor(x) ∧ EnjoyGoingOutOftenToWith(x, restaurant, friend) → OrderOften(x, takeout)) |
All of Michael's neighbors who regularly tout the benefits of homegrown and homecooked meals over fast food enjoy going out often to restaurants with friends. | ∀x (MichaelsNeightbor(x) ∧ ToutOver(x, homecookedMeals, fastFood) → EnjoyGoingOutOftenToWith(x, restaurant, friend)) |
Peter, Michael's neighbor, grows his own fresh vegetables in his home garden, or regularly touts the benefits of homegrown and homecooked meals over fast food, or both. | MichaelsNeightbor(peter) ∧ (GrowIn(peter, vegetable, garden) ∨ ToutOver(peter, homecookedMeals, fastFood)) |
Peter enjoys going out often to restaurants with friends. | EnjoyGoingOutOftenTo(peter, restaurant, friend) |
Peter is a young working professional who lives in large cities. | YoungWorkingProfession(peter) ∧ LiveIn(peter, largeCity) |
Peter grows his own fresh vegetables in their home garden or is a young working professional who lives in large cities. | GrowIn(peter, vegetable, garden) ∨ (YoungWorkingProfession(peter) ∧ LiveIn(peter, largeCity)) |
All devices belonging to the company are connected to Google Home. | ∀x (OwnedBy(x, company) → ConnectedTo(x, googleHome)) |
All devices belonging to employees are connected to the company's wifi. | ∀x (OwnedBy(x, employee) → ConnectedTo(x, companyWiFi)) |
All devices connected to Google Home are controlled by the managers. | ∀x (ConnectedTo(x, googleHome) → ControlledBy(x, managers)) |
All devices that connect to the company's wifi are easy to operate. | ∀x (ConnectedTo(x, companyWiFi) → EasyToOperate(x)) |
ModelXX belongs to employees. | OwnedBy(modelXX, employee) |
ModelXX is easy to operate. | EasyToOperate(modelXX) |
ModelXX is controlled by managers. | ControlledBy(modelXX, managers) |
ModelXX is connected to Google Home. | ConnectedTo(modelXX, googleHome) |
No touring musicians who perform at the New Haven Symphony Orchestra are permanent members of the orchestra. | ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ TouringMusician(x)) → ¬PermanentMemberOf(x, theOrchestra)) |
Musicians who perform at the New Haven Symphony Orchestra are permanent members of an orchestra, or they have temporary roles at the orchestra. | ∀x (PerformAt(x, newHavenSymphonyOrchestra) → (PermanentMemberOf(x, theOrchestra) ∨ HaveTemporaryRoleAt(x, theOrchestra))) |
All touring musicians who perform at the New Haven Symphony Orchestra have temporary roles at the orchestra. | ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ TouringMusicians(x)) → HaveTemporaryRoleAt(x, theOrchestra)) |
All musicians performing at the New Haven Symphony Orchestra who have temporary roles at the orchestra are interesting soloists. | ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ HaveTemporaryRoleAt(x, theOrchestra)) → InterestingSoloist(x)) |
All musicians performing at New Haven Symphony Orchestra who are interesting soloists are capable of attracting audiences. | ∀x ((PerformAt(x, newHavenSymphonyOrchestra) ∧ InterestingSoloist(x)) → CapableOfAttractingAudiences(x)) |
Ryan is performing at New Haven Symphony Orchestra. | PerformAt(ryan, newHavenSymphonyOrchestra) |
If Ryan is an interesting soloist and has a temporary role at the orchestra, then he is capable of attracting large audiences if and only if he is a touring soloist musician. | (InterestingSoloist(ryan) ∧ HaveTemporaryRoleAt(ryan, theOrchestra)) → ¬(TouringMusician(ryan) ⊕ CapableOfAttractingAudiences(ryan)) |
Ryan is an interesting soloist. | InterestingSoloist(ryan) |
Ryan is either a permanent member of an orchestra or a touring soloist musician. | (PermanentMemberOf(ryan, orchestra) ⊕ TouringMusician(ryan)) |
Ryan is either a permanent member of an orchestra or has a temporary role at the orchestra. | (PermanentMemberOf(ryan, orchestra) ⊕ HaveTemporaryRoleAt(ryan, orchestra)) |
If someone in Potterville yells, then they are not cool. | ∀x (In(x, potterville) ∧ Yell(x) → ¬Cool(x)) |
If someone in Potterville is angry, then they yell. | ∀x (In(x, potterville) ∧ Angry(x) → Yell(x)) |
If someone in Potterville flies, then they are cool. | ∀x (In(x, potterville) ∧ Fly(x) → Cool(x)) |
Every person in Potterville that knows magic flies. | ∀x (In(x, potterville) ∧ Know(x, magic) → Fly(x)) |
All wizards in Potterville know magic. | ∀x (In(x, potterville) ∧ Wizard(x) → Know(x, magic)) |
Harry, who lives in Potterville either yells or flies. | In(harry, potterville) ∧ (Yell(harry) ⊕ Fly(harry)) |
Potter, who lives in Potterville, is a wizard and flies. | Wizard(potter) ∧ Fly(potter) |
Harry is cool. | Cool(harry) |
Harry is not cool. | ¬Cool(harry) |
Harry is a wizard or angry. | Wizard(harry) ∨ Angry(harry) |
Harry is neither a wizard nor angry. | ¬Wizard(harry) ∧ ¬Angry(harry) |
All of this brand's products are either produced in China or in the US. | ∀x (ThisBrand(x) ∧ Product(x) → (ProducedIn(x, china) ⊕ ProducedIn(x, uS))) |
All of this brand's products produced in China are labeled. | ∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, china)) → Labeled(x)) |
All of this brand's products produced in the US are sold in the US. | ∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, us)) → SoldIn(x, us)) |
The products of this brand that are labeled are cheaper. | ∀x ((ThisBrand(x) ∧ Product(x) ∧ Labeled(x)) → Cheaper(x)) |
All of this brand's products sold in the US are sold at Walmart. | ∀x ((ThisBrand(x) ∧ Product(x) ∧ SoldIn(x, us)) → SoldIn(x, walmart)) |
All products of this brand displayed on the homepage are sold at Walmart. | ∀x (ThisBrand(x) ∧ Product(x) ∧ DisplayedIn(x, homepage) → SoldIn(x, walmart)) |
None of this brand's products that are returned by customers are sold at Walmart. | ∀x (ThisBrand(x) ∧ Product(x) ∧ ReturnedBy(x, customer) → ¬SoldIn(x, walmart)) |
G-910 is a product of this brand, and it is either displayed on the homepage and is cheaper, or it is neither displayed on the homepage nor is it cheaper. | Product(g910) ∧ ThisBrand(g910) ∧ (¬(DisplayedIn(g910, homepage) ⊕ Cheaper(g910))) |
G-910 is displayed on the homepage. | DisplayedIn(g910, homepage) |
G-910 is not displayed on the homepage. | ¬DisplayedIn(g910, homepage) |
G-910 is a product returned by customers. | ThisBrand(g910) ∧ ReturnedBy(g910, customer) |
G-910 is a product returned by customers or sold in Walmart. | ThisBrand(g910) ∧ (ReturnedBy(g910, customer) ∨ SoldIn(g910, walmart)) |
G-910 is either returned by customers or sold in Walmart. | ReturnedBy(g910, customer) ⊕ SoldIn(g910, walmart) |
People either believe in Santa Claus, or think he is made up. | ∀x (BelieveIn(x, santaClaus) ⊕ ThinkMadeUp(x, santaClaus)) |
People who believe in Santa Claus expect to get presents on Christmas morning. | ∀x (BelieveIn(x, santaClaus) → Expect(x, present, christmasMorning)) |
People who think Santa Claus is made up, then they would be surprised to see him in their house. | ∀x (ThinkMadeUp(x, santaClaus) → WouldBeSurprisedToSeeIn(x, santaClaus, house)) |
People who expect presents on Christmas morning are excited for it to be Christmas. | ∀x (Expect(x, present, christmasMorning) → ExcitedFor(x, christmas)) |
If people would be surprised to see Santa Claus in their house, then they don't leave out cookies on Chrismtas Eve. | ∀x (WouldBeSurprisedToSeeIn(x, santaClaus, house) → ¬LeaveOut(x, cookies)) |
Mercy is not someone who expects presents Christmas morning, is excited for Chrismtas, and believes in Santa Claus. | ¬(Expect(marcy, present, christmasMorning) ∧ ExcitedFor(marcy, christmas) ∧ BelieveIn(marcy, santaClaus)) |
Marcy either believes in Santa Claus or doesn't leave cookies out on Christmas Eve. | BelieveIn(marcy, santaClaus) ⊕ LeaveOut(marcy, cookies) |
Marcy is not someone who both leaves out cookies on Chrismtas eve and thinks Santa Claus is made up, or Marcy believes in Santa Claus. | ¬(LeaveOut(marcy, cookies) ∧ ThinkMadeUp(marcy, santaClaus)) ∨ BelieveIn(marcy, santaClaus) |
Indonesia is a country. | Country(indonesia) |
In Indonesia, the prosecutor only personally investigates cases of some special crimes. | ∀x ∃y (In(indonesia) ∧ Prosecutor(x) ∧ SpecialCrime(y) → InvestigatePersonally(x, y)) |
Corruption is a type of crime. | Crime(corruption) |
Once the police complete crime investigations, the evidence is handed to the prosecutor. | ∀x ∀y ∀z (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → Evidence(z) ∧ HandedTo(z, x)) |
Evidence can be either satisfactory or unsatisfactory. | ∀x (Evidence(x) ∧ (Satisfactory(x) ⊕ Unsatisfactory(x))) |
If the evidence is handed to the prosecutor and the evidence is satisfactory, the prosecutor will prosecute the offender in an appropriate court. | ∀x ∀y (Evidence(y) ∧ Prosecutor(x) ∧ HandedTo(x) ∧ Satisfactory(y) → ProsecuteInAppropriateCourt(x, theOffender)) |
When the police complete investigations, the prosecutor will prosecute the offender at an appropriate court. | ∀x ∀y (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → ProsecuteInAppropriateCourt(x, theOffender)) |
In Indonesia, the prosecutor personally investigates cases of corruption. | ∀x (Country(indonesia) ∧ Prosecutor(x) ∧ Crime(corruption) → InvestigatePersonally(x, corruption)) |
When the police complete investigations, the prosecutor investigates personally. | ∀x ∀y (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → InvestigatePersonally(x, y)) |
No battery-powered watch is automatic. | ∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x)) |
All digital watches are battery-powered. | ∀x (DigitalWatch(x) → BatteryPoweredWatch(x)) |
Some mechanical watches are automatic. | ∃x (MechanicalWatch(x) ∧ AutomaticWatch(x)) |
All smart watches are digital. | ∀x (SmartWatch(x) → DigitalWatch(x)) |
Moonwatch is either a digital watch and an automatic, or it is neither. | ¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)) |
Moonwatch is a mechanical watch. | MechanicalWatch(moonWatch) |
Moonwatch is a smartwatch and a mechanical watch. | SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) |
If Moonwatch is a smartwatch and a mechanical watch, then Moonwatch is not a mechanical watch. | SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) → ¬MechanicalWatch(moonwatch) |
Subsets and Splits