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"Hooray! Hooray! It's a Holi-Holiday!" peaked below #1 on the German charts. | PeaksBelowOn(hoorayHoorayItsAHoliHoliday, number1, germanChart) |
"Hooray! Hooray! It's a Holi-Holiday!" peaked at #3 on the UK charts. | PeaksAtOn(hoorayHoorayItsAHoliHoliday, number3, germanChart) |
Every chef can cook. | ∀x (Chef(x) → Can(x, cook)) |
Some people who aren’t chefs can cook. | ∃x (¬Chef(x) ∧ Can(x, cook)) |
People who cook can make scrambled eggs and pasta. | ∀x (Can(x, cook) → (CanMake(x, scrambledEggs) ∧ CanMake(x, pasta))) |
If someone can make cookies and muffins, they are a baker. | ∀x (CanMake(x, cookies) ∧ CanMake(x, muffins) → Baker(x)) |
Bakers who can also make scrambled eggs can make a good breakfast. | ∀x ((Baker(x) ∧ CanMake(x, scrambledEggs)) → CanMake(x, goodBreakfast)) |
Luke can make cookies, scrambled eggs, and muffins, but not pasta. | CanMake(luke, cookies) ∧ (CanMake(luke, scrambledEggs) ∧ CanMake(luke, muffins) ∧ ¬CanMake(luke, pasta) |
Luke can make a good breakfast. | CanMake(luke, goodBreakfast) |
Luke is a chef. | Chef(luke) |
ETS develops various standardized tests primarily in the United States for K-12 and higher education. | ∃x ∃y (Develop(eTS, x) ∧ Develop(eTS, y) ∧ StandardizedTest(x) ∧ StandardizedTest(y) ∧ In(x, unitedState) ∧ In(y, unitedState) ∧ For(x, k12AndHigherEducation) ∧ For(y, k12AndHigherEducation)) |
ETS administers international tests, including the TOEFL, TOEIC, GRE, and subject tests. | ∃x (Administer(eTS, x) ∧ InternationalTest(x) ∧ (TOEFL(x) ∨ TOEIC(x) ∨ GRE(x) ∨ SubjectTest(x))) |
Many of the assessments ETS develops are associated with entry to the US tertiary and quaternary education institutions. | ∃x (Develop(eTS, x) ∧ AssociatedWith(x, entryToUSEducationInstitution)) |
ETS also develops K-12 statewide assessments used for accountability testing in many states. | ∃x (Develop(eTS, x) ∧ StateWideAssesment(x) ∧ UsedFor(x, accountabilityTesting)) |
ETS develops assessments for K-12 statewide as well as entry to US tertiary and quaternary education institutions. | ∃x ∃y (Develop(eTS, x) ∧ StateWideAssesment(x) ∧ Develop(eTS, y) ∧ AssociatedWith(y, entryToUSEducationInstitution)) |
ETS doesn't administer tests internationally. | ∀x (Administer(eTS, x) → ¬InternationalTest(x)) |
ETS administers international tests including the TOEFL, GRE and subject tests in China. | ∃x (Administer(eTS, x) ∧ InChina(x) ∧ (TOEFL(x) ∨ TOEIC(x) ∨ GRE(x) ∨ SubjectTest(x))) |
All hodophiles who enjoy eating gelato ice cream would enjoy a vacation to Italy. | ∀x (Hodophiles(x) ∧ EnjoyEating(x, gelato) → Enjoy(x, vacationToItaly)) |
No hodophiles can resist the hallmark delectable desserts famous in Italy. | ∀x (Hodophiles(x) ∧ ¬(∃y (Resist(x, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy)))) |
Hodophiles enjoy eating gelato ice cream or love to travel and vacation often, or both. | ∀x (Hodophiles(x) → (EnjoyEating(x, gelato) ∨ LoveToTravelOften(x)) |
No hodophiles who study abroad in Europe regret their college experiences. | ∀x (Hodophiles(x) ∧ TakeIn(x, studyAbroadSemester, europe) → ¬Regret(x, collegeExperience)) |
If hodophiles love to travel and vacation often, then they study abroad in Europe. | ∀x (Hodophiles(x) ∧ LoveToTravelOften(x) → TakeIn(x, studyAbroadSemester, europe)) |
Robert is a hodophile, and he either enjoys eating gelato ice cream and loves to travel and vacation often, or does not enjoy eating gelato ice cream and does not love to travel and vacation often. | Hodophiles(robert) ∧ ¬(EnjoyEating(robert, gelato) ⊕ LoveToTravelOften(robert)) |
Robert can resist the hallmark delectable desserts that are famous in Italy. | ∃y (Resist(robert, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy)) |
If Robert either would both enjoy a vacation to Italy and regrets his college experiences or neither would enjoy a vacation to Italy nor regrets his college experiences, then Robert would either enjoy a vacation to Italy or he can resist the hallmark delectable desserts that are famous in Italy. | ¬((Enjoy(robert, vacation) ∧ In(vacation, italy)) ⊕ Regret(x, collegeExperiences)) → Enjoy(robert, vacation) ∧ In(vacation, italy) ⊕ (∃y (Resist(robert, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy)) |
If Robert is not both a person who can resist the hallmark delectable desserts that are famous in Italy and regrets his college experiences, then Robert either enjoys eating gelato ice cream or would enjoy a vacation to Italy. | (∃y (Resist(robert, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy))) ∧ Regret(robert, collegeExperience)) → (EnjoyEating(robert, gelato) ⊕ (Enjoy(robert, vacation) ∧ In(vacation, italy)) |
To have the authorization to study in the United States as a foreigner, you must be enrolled in an academic program. | ∀x (Have(x, authorization, studyIn, unitedStates) → EnrolledIn(x, academicProgram)) |
Those who are enrolled in an academic program can not work full-time. | ∀x (EnrolledIn(x, academicProgram) → ¬Work(x, fullTime)) |
Every who studies in the United States as a foreigner has the authorization to study in the U.S. | ∀x (StudyIn(x, unitedStates) → Have(x, authorization, studyIn, unitedStates)) |
All PhD graduate can work full-time. | ∀x (PhDGraduate(x) → Work(x, fullTime)) |
If Tom does not study in the United States as a foreigner, he is enrolled in an academic program. | ¬StudyIn(x, unitedStates) → EnrolledIn(x, academicProgram) |
Tom is a PhD graduate. | PhdGraduate(tom) |
Tom is not a PhD graduate. | ¬PhdGraduate(tom) |
Tom wants to study abroad. | StudyIn(tom, unitedStates) |
Islip Speedway is the smallest race track. | Speedway(islip) ∧ SmallestRaceTrack(islip) |
There was a demolition derby on the smallest race track. | ∃x ∃y (DemolitionDerby(x) ∧ SmallestRaceTrack(y) ∧ On(x, y)) |
Islip is either demolished or still being used. | Demolished(islip) ⊕ StillUsed(islip) |
Speedways that are still being used have races held at them. | ∀x (Speedway(x) ∧ StillUsed(x) → Have(races, heldAt, x)) |
Islip doesn't have races held at it. | ¬Have(races, heldAt, islip) |
There has been a demolition derby somewhere that has since been demolished. | ∃x ∃y (DemolitionDerby(x) ∧ On(x, y) ∧ Demolished(y)) |
Islip was demolished. | Demolished(islip) |
Islip is still being used. | StillUsed(islip) |
If a person pays their taxes, then they contribute to the country. | ∀x (Taxpayer(x) → ContributeTo(x, country)) |
Everyone who works for a government department pays a tax on their salary. | ∀x (WorkFor(x, governmentAgency) → Taxpayer(x)) |
Everyone in the army is an employee of a government department. | ∀x (ServesIn(x, theArmy) → WorkFor(x, governmentAgency)) |
Everyone convicted of murder goes to prison. | ∀x (SentencedForMurder(x) → Imprisoned(x)) |
Everyone who has been to prison has a criminal record. | ∀x (Imprisoned((x) → Has(x, criminalRecord)) |
James was either once convicted of murder, or spent time in prison. | SentencedForMurder(james) ⊕ Imprisoned(james) |
James either has a criminal record, or pays his taxes. | Has(james, criminalRecord) ⊕ Taxpayer(james) |
James contributes to the country. | ContributeToCountry(james) |
James does not contribute to the country. | ¬ContributeTo(james, country) |
James contributes to the country and he serves in the army. | ContributeTo(james, country) ∧ ServesIn(james, army) |
James does not contribute to the country and does not serve in the army. | ¬(ContributeTo(james, country) ∧ ServesIn(james, army)) |
The Croton River watershed is the drainage basin of the Croton River. | DrainageBasinOf(crotonRiverWatershed, crotonRiver) |
The Croton River is in southwestern New York. | In(crotonRiver, southwesternNewYork) |
Water from the Croton River watershed flows to the Bronx. | ∀x ((Water(x) ∧ In(x, crotonRiverWatershed)) → FlowsTo(x, bronx)) |
The Bronx is in New York. | In(bronx, newYork) |
Water from the Croton River watershed flows to somewhere in New York. | ∀x ((Water(x) ∧ From(x, crotonRiverWatershed)) → ∃y(FlowsTo(x, y) ∧ In(y, newYork))) |
The Croton River watershed is in the Bronx. | In(crotonRiverWatershed, bronx) |
Water from the Croton River flows to the Bronx. | ∀x (Water(x) ∧ From(x, crotonRiver) → FlowsTo(x, bronx)) |
All nuclear-powered submarines are warships. | ∀x (NuclearPoweredSubmarine(x) → Warship(x)) |
No nuclear-powered submarines are commercial vessels. | ∀x (NuclearPoweredSubmarine(x) → ¬CommercialVessel(x)) |
No warships are commercial vessels. | ∀x (Warship(x) → ¬CommercialVessel(x)) |
If an album is written by a rock band, then the genre of the album is rock. | ∀x ∀y ∀z (AlbumByBand(x, y) ∧ RockBand(y, z) → Genre(x, rock)) |
If a band writes an album winning an award, then this band wins this award. | ∀x ∀y ∀z (AlbumByBand(x, y) ∧ AlbumAward(x, z) → RockBandAward(y, z)) |
Trouble at the Henhouse is an album by The Tragically Hip. | AlbumByBand(trouble_at_the_Henhouse, the_Tragically_Hip) |
The Tragically Hip is a Canadian rock band. | RockBand(the_Tragically_Hip, canada) |
The song "Butts Wigglin'" is in Trouble at the Henhouse. | SongInAlbum(butts_Wigglin, trouble_at_the_Henhouse) |
Trouble at the Henhouse won the Album of the Year award. | AlbumAward(trouble_at_the_Henhouse, the_Album_of_the_Year) |
A song in Trouble at the Henhouse appeared in a film. | ∃x (SongInFilm(x) ∧ SongInAlbum(x, trouble_at_the_Henhouse)) |
The genre of Trouble at the Henhouse is rock. | Genre(troubleAtTheHenhouse, rock) |
No Canadian rock band has won the Album of the Year award. | ¬∃x(RockBand(x, canada) ∧ Award(x, theAlbumOfTheYear)) |
"Butts Wigglin'" appeared in a film. | SongInFilm(buttsWigglin) |
Daniel is a software engineer, and he works at Palantir Technologies. | SoftwareEngineer(daniel) ∧ WorksAt(daniel, palantirTechnologies) |
Daniel studied bioengineering during his undergraduate at Rice University. | Studied(daniel, bioengineering) ∧ UndergraduateAt(daniel, riceUniversity) |
Daniel’s older sister works at Meta as a technical sourcer. | WorksAtMeta(danielsOlderSister) ∧ TechnicalSourcer(danielsOlderSister) |
Daniel’s dad and older sister both graduated from Stanford University. | GraduatedFromStanfordUniversity(danielsOlderSister) ∧ GraduatedFromStanfordUniversity(danielsDad) |
Daniel’s dad is a doctor practicing internal medicine at a veteran’s hospital in Minneapolis. | Doctor(danielsDad) ∧ Practicing(danielsDad, internalMedicine) ∧ PracticingAt(danielsDad, veteransHospital) ∧ In(veteransHospital, minneapolis) |
Daniel once applied to Stanford University, but he couldn’t get in even though he has family members who are Stanford alumni. | AppliedTo(daniel, stanfordUniversity) ∧ ¬GotInto(daniel, stanfordUniversity) ∧ Alumni(danielsFamilyMembers, stanfordUniversity) |
Daniel studied bioengineering as an undergraduate at Rice University. | Studied(daniel, bioengineering) ∧ UndergraduateAt(daniel, riceUniversity) |
Daniel and his sister grew up in Minneapolis, Minnesota. | GrewUpIn(daniel, minneapolis) ∧ GrewUpIn(danielsOlderSister, minneapolis) |
The world's only major large passenger aircraft manufacturers are Boeing and Airbus. | ∀x (WorldMajorLargePassengerAircraftManufacturer(x) → x=boeing ⊕ x=airbus) |
All American Airlines planes are from the world's major large passenger aircraft manufacturers. | ∀x (AmericanAirlinesAircraft(x) → WorldMajorLargePassengerAircraftManufacturer(x)) |
Airbus made more revenue than Boeing last year. | MoreInRevenue(airbus, boeing) |
An American Airlines plane is either a Boeing or Airbus plane. | ∀x (AmericanAirlinesPlane(x) → x=boeing ⊕ x=airbus) |
There exists a SpaceX commercial aircraft. | ∃x (CommercialAircraft(x) ∧ x=spaceX) |
There does not exist a United Airlines plane produced by Boeing. | ∀x (UnitedAirlinesAircraft(x) → ¬(x=boeing)) |
There is a commercial plane made by both Airbus and Boeing. | ∃x (WorldMajorLargePassengerAircraftManufacturer(x) ∧ ProducedBy(x, airbus) ∧ ProducedBy(x, boeing)) |
Luzon is an island in the Philippines. | Island(luzon) ∧ In(luzon, philippines) |
In December 1999, an earthquake struck Luzon. | ∃x (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, luzon)) |
People died in the December 1999 earthquake in Luzon. | ∃x (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, luzon) ∧ Deadly(x)) |
Leyte is an island in the Philippines. | Island(leyte) ∧ In(leyte, philippines) |
No one has ever died in an earthquake that struck the Philippines. | ∀x ∀y ((Earthquake(x) ∧ StrikeInCity(x, y) ∧ In(y, philippines)) → ¬Deadly(x)) |
In 1999, there was at least one earthquake in the Philippines. | ∃x ∃y (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, y) ∧ In(y, philippines)) |
People who like financial risks invest in the public stock market regularly or enjoy gambling regularly. | ∀x (Like(x, financialRisk) → InvestInRegularly(x, publicStockMarket) ∨ EnjoyRegularly(x, gambling)) |
If people invest in the public stock market regularly, then they read the Wall Street Journal and other newspapers regularly to keep updated on financial metrics. | ∀x (InvestInRegularly(x, publicStockMarket) → ReadToKeepUpdatedOn(x, theWallStreetJournal, financialMetric) ∨ (∃y (¬(y=theWallStreetJournal) ∧ NewsPaper(y) ∧ ReadToKeepUpdatedOn(x, y, financialMetric)))) |
All people who enjoy enjoy gambling regularly spend a lot of money at casinos or other betting games. | ∀x (EnjoyRegularly(x, gambling) → SpendAt(x, alotOfMoney, casino) ∨ (∃y (¬(y=casino) ∧ BettingGame(y) ∧ SpendAt(x, aLotOfMoney, y))) |
People who spend a lot of money at casinos and other betting games would enjoy visiting the Las Vegas Strip. | ∀x (SpendAt(x, alotOfMoney, casino) ∨ (∃y (¬(y=casino) ∧ BettingGame(y) ∧ SpendAt(x, aLotOfMoney, y))) → EnjoyVisiting(x, theLasVegasStrip)) |
People who spend a lot of money at casinos and other betting games are at risk of gambling addiction. | ∀x (SpendAt(x, alotOfMoney, casino) ∨ (∃y (¬(y=casino) ∧ BettingGame(y) ∧ SpendAt(x, aLotOfMoney, y)) → AtRiskOf(x, gamblingAddiction)) |
Matt does not invest in the public stock market regularly. | InvestInRegularly(matt, publicStockMarket) |
Subsets and Splits