| story_id,Premises - NL,Conclusions - NL,Truth Values,Premises - FOL,Conclusions - FOL,Proofs | |
| 214,"If a class has prerequisites, the student must take the prerequisites to take the class. | |
| If a class has no prerequisites, then the student can take the class | |
| CPSC 201 and CPSC 223 are prerequisites for CPSC 323. | |
| Intro Microeconomics is the only prerequisite for Intermediate Microeconomics. | |
| Intro Geology has no prerequisites.","CPSC 201 has no prerequisites. | |
| If a student took CPSC 201 but did not take CPSC 223, they can take CPSC 323. | |
| A student cannot take Intro Geology. | |
| Intermediate Microeconomics has one prerequisite.","U | |
| F | |
| F | |
| T","∀x ∀y ∀z (Class(x) ∧ Student(y) ∧ Prereq(z,x) ∧ ¬Take(y, z) → ¬CanTake(y, x)) | |
| ∀x ∀y ((Class(x) ∧ Student(y) ∧ ¬(∃z Prereq(z,x))) → CanTake(y, x)) | |
| Prereq(cpsc201, cpsc323) ∧ Prereq(cpsc223, cpsc323) | |
| ∀x (Prereq(x,intermediateMicro) → x=introMicroeconomics) | |
| ¬(∃x (Prereq(x, introGeology)))","∀x (¬Prereq(x, cpsc201)) | |
| Taken(cpsc201) ∧ ¬Taken(cpsc223) ∧ CanTake(cpsc323) | |
| ¬CanTake(introgeology) | |
| ∃x (Taken(x) → CanTake(intermediatemicro))","['Not found', 'Not found', 'Not found', 'Not found']" | |
| 140,"The winner of the 1992 du Maurier Classic was Steinhauer. | |
| Steinhauer participated in the 1992 du Maurier Classic. | |
| One six-way tie was on the leaderboard, and one person in the six-way tie was from Belgium. | |
| Descampe is from Belgium and is on the leaderboard of the 1992 du Maurier Classic. | |
| All people on the leaderboard of the 1992 du Maurier Classic participated in the 1992 du Maurier Classic.","Steinhauer was not the winner of the 1992 du Maurier Classic. | |
| Descampe is in the six-way tie in the leaderboard of the 1992 du Maurier Classic.","F | |
| U","WinnerOf(steinhauer, duMaurierClassic, year1992) | |
| Participate(duMaurierClassic, steinhauer, year1992) | |
| ∃x ∃y (OnLeaderBoardOf(x, duMaurierClassic) ∧ SixWayTie(x)) ∧ In(y, sixWayTie) ∧ Belgium(y)) | |
| From(descampe, belgium) ∧ OnLeaderBoardOf(descampe, duMaurierClassic) | |
| ∀x (LeaderBoard(maurier, x) → Participate(maurier, x))","¬WinnerOf(steinhauer, duMaurierClassic, year1992) | |
| SixWayTie(descampe)","['WinnerOf(steinhauer,duMaurierClassic,year1992)\n', 'Not found']" | |
| 164,"Reading, Listening, Writing, and Speaking are all parts of the IELTS exam. | |
| The IELTS exam can be taken on paper or on a computer. | |
| If you do the Speaking part, you will do a face-to-face interview. | |
| If you take the IELTS exam on a computer, you will do the Reading, Listening, and Writing parts using a computer. | |
| If you take the IELTS exam, you will complete the Reading, Listening, and Writing parts on paper. | |
| No computer or paper is used during the face-to-face interview.","If John chooses to take the IELTS exam on a computer, he will not use a computer for the Speaking part. | |
| If John chooses to take the IELTS exam, he will complete it on paper. | |
| The Reading part may be completed on a computer or paper in the IELTS exam.","F | |
| U | |
| T","PartOf(reading, iELTSExam) ∧ PartOf(listening, iELTSExam) ∧ PartOf(writing, iELTSExam) ∧ PartOf(speaking, iELTSExam) | |
| TakenOn(iELTSExam, paper) ∨ TakenOn(iELTSExam, computer) | |
| ∀x (Take(x, speaking) → Face-To-FaceInterview(x)) | |
| ∀x (Take(x, iELTSExam) ∧ TakenOn(iELTSExam, computer) → (Take(x, reading) ∧ Take(x, listening) ∧ Take(x, writing) ∧ Use(x, computer)) | |
| ∀x (Take(x, iELTSExam) ∧ TakenOn(iELTSExam, paper) → (Take(x, reading) ∧ Take(x, listening) ∧ Take(x, writing) ∧ Use(x, paper)) | |
| ∀x (Face-To-FaceInterview(x) → ¬(Use(x, paper) ∨ Use(x, computer)))","Take(john, iELTSExam) ∧ TakenOn(iELTSExam, computer) ∧ ¬ (Take(john, speaking) ∧ Use(john, computer)) | |
| Take(john, iELTSExam) → Use(john, paper) | |
| ∀x (Take(x, iELTSExam) ∧ Take(x, reading) → (Use(x, paper) ∨ Use(x, computer)))","['Not found', 'Not found', 'Or(Or(Or(Not(Take($x16,iELTSExam)),Not(Take($x19,iELTSExam))),Use($x16,computer)),Use($x19,paper))\n├── Or(Or(Not(Take($x16,iELTSExam)),Not(TakenOn(iELTSExam,computer))),Use($x16,computer))\n└── Or(Or(Not(Take($x19,iELTSExam)),TakenOn(iELTSExam,computer)),Use($x19,paper))\n ├── Or(Or(Not(Take($x19,iELTSExam)),Not(TakenOn(iELTSExam,paper))),Use($x19,paper))\n └── Or(TakenOn(iELTSExam,computer),TakenOn(iELTSExam,paper))\n']" | |
| 251,"To get a job at Google, you need to have a lot of work experience or a good education. | |
| One needs to submit their resume to Google to get a job there. | |
| John has a lot of work experience. | |
| John submitted his resume to Google and got a job there.",John is a Yale graduate.,U,"∀x (GetAJobAt(x, google) → Have(x, aLotOfWorkExperience) ∨ Have(x, goodEducation)) | |
| ∀x (GetAJobAt(x, google) → Submitted(x, resume, google)) | |
| Have(john, aLotOfWorkExperience) | |
| Submitted(john, resume, google) ∧ GetAJobAt(john, google)",YaleGraduate(john),['Not found'] | |
| 60,"All buildings in New Haven are not high. | |
| All buildings managed by Yale Housing are located in New Haven. | |
| All buildings in Manhattans are high. | |
| All buildings owned by Bloomberg are located in Manhattans. | |
| All buildings with the Bloomberg logo are owned by Bloomberg. | |
| Tower A is managed by Yale Housing. | |
| Tower B is with the Bloomberg logo.","Tower A is low. | |
| Tower B is not located in Manhattans. | |
| Tower B is located in New Haven.","T | |
| F | |
| F","∀x (In(x, newHaven) → ¬High(x)) | |
| ∀x (YaleHousing(x) → In(x, newHaven)) | |
| ∀x (In(x, manhattan) → High(x)) | |
| ∀x (Bloomberg(x) → In(x, manhattan)) | |
| ∀x (BloombergLogo(x) → Bloomberg(x)) | |
| YaleHousing(tower-a) | |
| BloombergLogo(tower-b)","¬High(tower-a) | |
| ¬In(tower-b, manhattan) | |
| ¬In(tower-b, newHaven)","['Not(High(tower-a))\n├── In(tower-a,newHaven)\n│ ├── Or(In($x16,newHaven),Not(YaleHousing($x16)))\n│ └── YaleHousing(tower-a)\n└── Or(Not(High($x13)),Not(In($x13,newHaven)))\n', 'In(tower-b,manhattan)\n├── Bloomberg(tower-b)\n│ ├── BloombergLogo(tower-b)\n│ └── Or(Bloomberg($x115),Not(BloombergLogo($x115)))\n└── Or(In($x112,manhattan),Not(Bloomberg($x112)))\n', 'Not(In(tower-b,newHaven))\n├── High(tower-b)\n│ ├── In(tower-b,manhattan)\n│ │ ├── Bloomberg(tower-b)\n│ │ │ ├── BloombergLogo(tower-b)\n│ │ │ └── Or(Bloomberg($x115),Not(BloombergLogo($x115)))\n│ │ └── Or(In($x112,manhattan),Not(Bloomberg($x112)))\n│ └── Or(High($x19),Not(In($x19,manhattan)))\n└── Or(Not(High($x13)),Not(In($x13,newHaven)))\n']" | |
| 293,"All dogs sleep. | |
| Some four-legged animals are dogs.",Some four-legged animals sleep.,T,"∀x (Dog(x) → Sleep(x)) | |
| ∃x ∃y (FourLegged(x) ∧ Animal(x) ∧ Dog(x) ∧ FourLegged(y) ∧ Animal(y) ∧ Dog(y) ∧ ¬(x=y))",∃x ∃y (FourLegged(x) ∧ Animal(x) ∧ Sleeps(x) ∧ FourLegged(y) ∧ Animal(y) ∧ Sleeps(y) ∧ ¬(x=y)),['Not found'] | |
| 171,"Some fish stings people. | |
| Stonefish is a fish. | |
| Stonefish stings when stepped on. | |
| If a stonefish stings someone and they are not treated, it can cause death to them. | |
| To treat stonefish stings, apply heat to the affected area or use an antivenom.","If a stonefish stings you and you don’t use an antivenom, it can cause death to you. | |
| Stings of some fish can cause death if not treated. | |
| If you step on a stonefish and apply heat to the affected area, it can cause death to you.","U | |
| T | |
| U","∃x ∃y (Fish(x) → Sting(x,y)) | |
| Fish(stonefish) | |
| ∀x (SteppedOnBy(stonefish, x) → Sting(stonefish, x)) | |
| ∀x (Sting(stonefish, x) ∧ ¬Treated(x) → CauseDeathTo(stonefish, x)) | |
| ∀x (Sting(stonefish, x) ∧ (ApplyHeatTo(x) ∨ UseAntivenomOn(x)) → Treated(x))","∀x (Sting(stonefish, x) ∧ ¬UseAntivenomOn(x) → CauseDeathTo(stonefish, x)) | |
| ∃x ∃y (Fish(x) ∧ Sting(x, y) ∧ ¬Treated(y) → CauseDeathTo(x, y)) | |
| ∀x (SteppedOnBy(stonefish, x) ∧ ApplyHeatTo(x) → CauseDeathTo(stonefish, x))","['Not found', 'Not found', 'Not found']" | |
| 135,"On December 1, 30 days remain until the end of the year in the Gregorian calendar. | |
| December 1, 1970, was a Tuesday. | |
| December 1, 2021, was a Wednesday. | |
| Today is Thursday."," | |
| Today is December 1. | |
| If it is 30 days before the end of a year, then it is a Wednesday. "," | |
| U | |
| U","∀x (December1st(x) ∧ GeorgianCalendar(x) → ThirtyDaysRemainUntilTheEndOfTheYear(x)) | |
| December1st(day) ∧ Year1970(day) → Tuesday(day) | |
| December1st(day) ∧ Year2021(day) → Wednesday(day) | |
| Thursday(today)","December1st(today) | |
| ∀x (ThirtyDaysRemainUntilTheEndOfTheYear(x) → Wednesday(x))","['Not found', 'Not found']" | |
| 117,"Roads are made of either concrete or asphalt. | |
| Roads made of concrete last longer than roads made with asphalt. | |
| Roads made of asphalt are smoother than roads made of concrete. | |
| Everyone prefers the smoother of two roads. | |
| The first road is made of concrete, and the second road is made of asphalt.","The first road will last longer than the second road. | |
| The second road is not smoother than the first one. | |
| John prefers the second road.","T | |
| F | |
| T","∀x (Road(x) → (MadeOf(x, concrete) ⊕ MadeOf(x, asphalt)) | |
| ∀x ∀y (Road(x) ∧ MadeOf(x, concrete) ∧ Road(y) ∧ MadeOf(y, asphalt) → LastLonger(x, y)) | |
| ∀x ∀y (Road(x) ∧ MadeOf(x, asphalt) ∧ Road(y) ∧ MadeOf(y, concrete) → Smoother(x, y)) | |
| ∀x ∀y ∀z (Road(x) ∧ Road(y) ∧ Smoother(x, y) → Prefer(z, x)) | |
| Road(firstRoad) ∧ MadeOf(secondRoad, concrete) ∧ Road(firstRoad) ∧ MadeOf(secondRoad, asphalt)","LastLonger(firstRoad, secondRoad) | |
| ¬Smoother(firstRoad, secondRoad) | |
| Prefer(john, secondRoad)","['Not found', 'Not found', 'Not found']" | |
| 104,"Ordinary is an unincorporated community. | |
| Located within Elliot County, Ordinary is on Kentucky Route 32. | |
| Ordinary is located northwest of Sandy Hook.","There are no unincorporated communities along Kentucky Route 32. | |
| There is an unincorporated community located in Elliot County.","F | |
| T","UnincorporatedCommunity(ordinary) | |
| LocatedIn(ordinary, elliotCounty) ∧ On(ordinary, kentuckyRoute32) | |
| LocatedNorthwestOf(ordinary, sandyHook)","∀x (On(x, kentuckyRoute32) → ¬UnincorporatedCommunity(x)) | |
| ∃x (UnincorporatedCommunity(x) ∧ LocatedIn(x, elliotCounty))","['And(On(skolem$x14,kentuckyRoute32),UnincorporatedCommunity(skolem$x14))\n├── Equals(skolem$x14,ordinary)\n├── On(ordinary,kentuckyRoute32)\n└── UnincorporatedCommunity(ordinary)\n', 'And(LocatedIn(skolem$x17,elliotCounty),UnincorporatedCommunity(skolem$x17))\n├── Equals(skolem$x17,ordinary)\n├── LocatedIn(ordinary,elliotCounty)\n└── UnincorporatedCommunity(ordinary)\n']" | |
| 100,"Schmelz is a former parade and exercise ground located in Vienna. | |
| The first football field of SK Rapid Wien was contained within Schmelz. | |
| Active Parade grounds are used by the military. | |
| Balthasar Wigand is an artist that made a painting of the Schmelz.","Balthasar Wigand made a painting of a former exercise ground. | |
| Schmelz is used by the military. | |
| No artist has made a painting of anything located in Vienna.","T | |
| U | |
| F","FormerParadeGround(schmelz) ∧ FormerExerciseGround(schmelz) ∧ In(schmelz, vienna) | |
| ∀x (FirstFootballFieldOf(x, skrapidwien) → ContainedWithin(x, schmelz)) | |
| ∀x (ActiveParadeGrounds(x) → UsedBy(x, military)) | |
| Artist(balthasarwigand) ∧ MadePaintingOf(balthasarwigand, schmelz)","∃x (FormerParadeGround(x) ∧ MadePaintingOf(balthasarwigand, x)) | |
| UsedBy(schmelz, military) | |
| ∀x ∀y (LocatedIn(x, vienna) ∧ Artist(y) → ¬MadePaintingOf(y, x))","['And(FormerParadeGround(skolem$x19),MadePaintingOf(balthasarwigand,skolem$x19))\n├── Equals(skolem$x19,schmelz)\n├── FormerParadeGround(schmelz)\n└── MadePaintingOf(balthasarwigand,schmelz)\n', 'Not found', 'Not found']" | |
| 91,"Virginia Lee is an Australian rower. | |
| Virginia Lee competed in both sweep oared and sculling events. | |
| Sydney is Virginia Lee's home city. | |
| New South Wales was represented by Virginia Lee.","Sydney is not the home city to any rower. | |
| No Australian has represented New South Wales. | |
| An Australian who competed in sweep oared events represented New South Wales.","F | |
| F | |
| T","Australian(virginiaLee) ∧ Rower(virginiaLee) | |
| CompetesIn(virginiaLee, sweepOaredEvents) ∧ CompetesIn(virginiaLee, scullingEvents) | |
| City(sydney) ∧ HomeCity(sydney, virginiaLee) | |
| Represents(virginiaLee, newSouthWales)","∀x (Rower(x) → ¬HomeCity(sydney, x)) | |
| ∀x (Australian(x) → ¬Represented(x, newSouthWales)) | |
| ∃x (Australian(x) ∧ CompetesIn(x, sweepOaredEvents) ∧ Represents(x, newSouthWales))","['And(HomeCity(sydney,skolem$x14),Rower(skolem$x14))\n├── Equals(skolem$x14,virginiaLee)\n├── HomeCity(sydney,virginiaLee)\n└── Rower(virginiaLee)\n', 'Not found', 'And(And(Australian(skolem$x110),CompetesIn(skolem$x110,sweepOaredEvents)),Represents(skolem$x110,newSouthWales))\n├── Australian(virginiaLee)\n├── CompetesIn(virginiaLee,sweepOaredEvents)\n├── Equals(skolem$x110,virginiaLee)\n└── Represents(virginiaLee,newSouthWales)\n']" | |
| 273,"Ay Zor sold over a million copies of his CD. | |
| You're a popular musician if you have over a million CD sales.",Ay Zor is not a popular musician.,F,"SellOver(ayZor, aMillionCopiesCD) | |
| ∀x (SellOver(x, aMillionCopiesCD) → PopularMusician(x))",¬PopularMusician(ayZor),"['PopularMusician(ayZor)\n├── Or(Not(SellOver($x13,aMillionCopiesCD)),PopularMusician($x13))\n└── SellOver(ayZor,aMillionCopiesCD)\n']" | |
| 250,"All people who repay their loans on time have a high credit score. | |
| Some people with high credit scores and high salaries are approved for mortgages. | |
| John has a high salary."," If John repays his loans on time, he will be approved for a mortgage.",U,"∀x (RepayOnTime(x) → Has(x, highCreditScore)) | |
| ∃x ((Has(x, highCreditScore) ∧ Has(x, highSalary)) → ApprovedFor(x, mortgage)) | |
| Has(john, highSalary)","RepayOnTime(john) → ApprovedFor(john, mortgage)",['Not found'] | |
| 255,"No homework is fun. | |
| Some reading is homework.",Some reading is fun.,U,"∀x (Homework(x) → ¬Fun(x)) | |
| ∃x (Reading(x) ∧ Homework(x))",∃x (Reading(x) ∧ Fun(x)),['Not found'] | |
| 39,"""Your Woman"" is a song by the British one-person band White Town. | |
| ""Your Woman"" song peaked at No. 1 on the UK Singles Chart. | |
| If a song peaked at No.1 at a particular place, it was extremely popular. | |
| ""Your Woman"" peaked at No. 1 in Iceland, Israel, and Spain.","""Your Woman"" was extremely popular. | |
| White Town did not produce any popular songs. | |
| White Town was a successful band.","T | |
| F | |
| U","Produce(whiteTown, yourWoman) ∧ OnePersonBand(whiteTown) | |
| Peak(yourWoman, uKSinglesChart) | |
| ∀x ((∃y (Peak(x, y))) → Popular(x)) | |
| Peak(yourWoman, iceland) ∧ Peak(yourWoman, israel) ∧ Peak(yourWoman, spain)","Popular(yourWoman) | |
| ∀x (Produce(whiteTown, x) → ¬Popular(x)) | |
| Successful(whiteTown)","['Popular(yourWoman)\n├── Or(Not(Peak($x13,$x23)),Popular($x13))\n└── Peak(yourWoman,uKSinglesChart)\n', 'And(Popular(skolem$x17),Produce(whiteTown,skolem$x17))\n├── Equals(skolem$x17,yourWoman)\n├── Popular(yourWoman)\n│ ├── Or(Not(Peak($x13,$x23)),Popular($x13))\n│ └── Peak(yourWoman,uKSinglesChart)\n└── Produce(whiteTown,yourWoman)\n', 'Not found']" | |
| 12,"The Croton River watershed is the drainage basin of the Croton River. | |
| The Croton River is in southwestern New York. | |
| Water from the Croton River watershed flows to the Bronx. | |
| The Bronx is in New York.","Water from the Croton River watershed flows to somewhere in New York. | |
| The Croton River watershed is in the Bronx. | |
| Water from the Croton River flows to the Bronx.","T | |
| U | |
| U","DrainageBasinOf(crotonRiverWatershed, crotonRiver) | |
| In(crotonRiver, southwesternNewYork) | |
| ∀x ((Water(x) ∧ In(x, crotonRiverWatershed)) → FlowsTo(x, bronx)) | |
| In(bronx, newYork)","∀x ((Water(x) ∧ From(x, crotonRiverWatershed)) → ∃y (FlowsTo(x, y) ∧ In(y, newYork))) | |
| In(crotonRiverWatershed, bronx) | |
| ∀x (Water(x) ∧ From(x, crotonRiver) → FlowsTo(x, bronx))","['Not found', 'Not found', 'Not found']" | |
| 139,"UFC Fight Night was a mixed martial arts event held in Sweden. | |
| At UFC Fight Night, Sadollah was scheduled to fight Musoke. | |
| Sadollah fought Akiyama at UFC Fight Night. | |
| Musoke fought Yakovlev at UFC Fight Night. | |
| Jung was injured at UFC Fight Night. | |
| People injured at UFC Fight Night did not fight.","Jung fought Sadollah. | |
| Jung did not fight at UFC Fight Night. | |
| Sadollah fought Musoke at UFC Fight Night. | |
| Nelson fought Story at UFC Fight Night.","U | |
| T | |
| U | |
| U","Event(uFCFightNight) ∧ MixedMartial(uFCFightNight) ∧ HeldIn(uFCFightNight, sweden) | |
| ScheduledToFight(sadollah, musoke,uFCFightNight) | |
| Fight(sadollah, akiyama, uFCFightNight) | |
| Fight(musoke, yakovlev, uFCFightNight) | |
| InjuredAt(jung, uFCFightNight) | |
| ∀x (InjuredAt(x, uFCFightNight) → ¬FightIn(x, uFCFightNight))","Fight(jung, sadollah, uFCFightNight) | |
| Event(uFCFightNight) ∧ ¬FightIn(jung, uFCFightNight) | |
| Fight(sadollah, musoke, uFCFightNight) | |
| Fight(nelson, story, uFCFightNight)","['Not found', 'And(Event(uFCFightNight),Not(FightIn(jung,uFCFightNight)))\n├── Event(uFCFightNight)\n└── Not(FightIn(jung,uFCFightNight))\n ├── InjuredAt(jung,uFCFightNight)\n └── Or(Not(FightIn($x13,uFCFightNight)),Not(InjuredAt($x13,uFCFightNight)))\n', 'Not found', 'Not found']" | |
| 141,"TS Leda was a good passenger and cargo vessel. | |
| TS Leda was a Norwegian vessel that was built with stabilizers. | |
| Stabilizers are mechanical devices found only on ships with powerful steam turbine engines. | |
| To be a good passenger and cargo vessel, ships must be quiet and good at sea. | |
| Some ships that are quiet and good at sea have powerful steam turbine engines. | |
| Vessels are ships.","TS Leda was quiet and good at sea. | |
| TS Leda had powerful steam turbine engines. | |
| TS Leda was not a Norwegian vessel.","T | |
| T | |
| F","∀x (TSLeda(x) → ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x))) | |
| ∀x (TSLeda(x) → (Norweigian(x) ∧ Vessel(x) ∧ Stabilizers(x))) | |
| ∀x (Stabilizers(x) → MechanicalDevice(x) ∧ OnlyOnShips(x) ∧ PowerfulSteamTurbine(x)) | |
| ∀x ((Passenger(x) ∧ Vessel(x)) ∧ (Cargo(x) ∧ Vessel(x)) → (Quiet(x) ∧ GoodAt(x, sea))) | |
| ∃x (Quiet(x) ∧ GoodAt(x, sea) ∧ PowerfulSteamTurbine(x)) | |
| ∀x (Ship(x) → Vessel(x))","∀x (TSLeda(x) → Quiet(x) ∧ GoodAt(x, sea)) | |
| ∀x (TSLeda(x) → PowerfulSteamTurbine(x)) | |
| ∀x (TSLeda(x) → ¬(Norweigian(x) ∧ Vessel(x)))","['Not found', 'Or(Not(TSLeda($x16)),PowerfulSteamTurbine($x16))\n├── Or(Not(Stabilizers($x19)),PowerfulSteamTurbine($x19))\n└── Or(Not(TSLeda($x16)),Stabilizers($x16))\n', 'Not found']" | |
| 30,"EndGame is a movie released in 2006. | |
| EndGame was set in Washington. | |
| EndGame was filmed outside of Washington. | |
| Some movies are filmed in New York. | |
| Andy Chang directed EndGame. | |
| Andy Chang is from Hong Kong.","EndGame was filmed in New York. | |
| EndGame was not directed by someone from Hong Kong. | |
| All of Andy Chang's movies are filmed outside of Washington.","U | |
| F | |
| U","Movie(endGame) ∧ Released(endGame, yr2006) | |
| SetIn(endGame, washington) | |
| ¬(FilmedIn(endGame, washington)) | |
| ∃x ∃y (FilmedIn(x, newYork) ∧ (¬(x=y)) ∧ FilmedIn(y, newYork)) | |
| Directed(andyChang, endGame) | |
| From(andyChang, hongKong)","FilmedIn(endGame, newYork) | |
| ∀x (¬(Directed(x, endGame) ∧ From(x, hongKong))) | |
| ∀x (Directed(andyChang, x) → ¬(FilmedIn(x, washington)))","['Not found', 'Not found', 'Not found']" | |
| 61,"No coffee sold in Walmart is from France. | |
| All coffee favored by local residents is from Columbia. | |
| All coffee with high prices is favored by Jack. | |
| Civet Coffee is coffee that's not from Columbia. | |
| Jamaica Blue is expensive coffee. | |
| Expensive coffee has a high price.","Civet Coffee is from France. | |
| Jamaica Blue is from Columbia. | |
| Jamaica Blue is favored by local residents.","U | |
| T | |
| T","∀x ((Coffee(x) ∧ SoldIn(x, walmart)) → ¬From(x, france)) | |
| ∀x ((Coffee(x) ∧ FavoredBy(x, localResidents)) → From(x, colombia)) | |
| ∀x ((Coffee(x) ∧ HighPrice(x)) → FavoredByLocalResidents(x)) | |
| Coffee(civetCoffee) ∧ ¬From(colombia) | |
| Expensive(jamaicaBlue) ∧ Coffee(jamaicaBlue) | |
| ∀x ((Expensive(x) ∧ Coffee(x)) → HighPrice(x))","From(civetCoffee, france) | |
| From(jamaicaBlue, colombia) | |
| FavoredBy(jamaicablue, localResidents)","['Not found', 'Not found', 'Not found']" | |
| 248,"Kangaroos are an animal. | |
| No Kangaroos live in Germany. | |
| Jane will fly to Germany if she saves enough money for the summer. | |
| If Jane flies to Germany, she will go to the Berlin Zoo. | |
| If someone goes to the Berlin Zoo, they will see some of the animals in Germany.",Jane will see a kangaroo if she saves enough money for the summer.,F,"∀x (Kangaroo(x) → Animal(x)) | |
| ∀x (Kangaroo(x) → ¬LiveIn(x, germany)) | |
| SavesFor(jane, enoughMoney, theSummer) → FlyTo(jane, germany) | |
| FlyTo(jane, germany) → GoTo(jane, berlinzoo) | |
| ∀x ∃y (GoTo(x, berlinzoo) ∧ LiveIn(x, germany) ∧ Animal(y) → WillSee(y, x, berlinzoo))","∃x (SavesFor(jane, enoughMoney, theSummer) ∧ Kangaroo(x) → WillSee(x, jane, berlinzoo))",['Not found'] | |
| 296,"Some fears lead to anxiety. | |
| Some anxiety leads to terror.",No fears lead to terror.,U,"∃x ∃y (Fear(x) ∧ Anxiety(y) ∧ LeadTo(x, y) ∧ ¬(x=y)) | |
| ∃x ∃y (Anxiety(x) ∧ Terror(y) ∧ LeadTo(x, y))","∀x ∀y (Fear(x) → ¬(Terror(y) ∧ LeadTo(x, y)))",['Not found'] | |
| 235,"Westworld is an American science fiction-thriller TV series. | |
| In 2016, a television series named Westworld debuted on HBO. | |
| The TV series Westworld is adapted from the original film in 1973, which was written and directed by Michael Crichton. | |
| The 1973 film Westworld is about robots that malfunction and begin killing human visitors.","Michael Crichton has directed a film about malfunctioning robots. | |
| An American TV series debuted in 2016.","T | |
| T","American(westworld) ∧ ScienceFictionThriller(westworld) | |
| Debut(westworld, year2016) ∧ TvSeries(westworld) | |
| Adapted(westworld, westworldTheFilm) ∧ Produce(westworldTheFilm, year1973) ∧ Wrote(michael, westworldTheFilm) ∧ Directed(michael, westworldTheFilm) | |
| Film(westworldTheFilm) ∧ About(westworldTheFilm, malfunctioningRobots)","∃x (Film(x) ∧ Directed(michael, x) ∧ About(x, malfunctioningRobots)) | |
| ∃x (TVSeries(x) ∧ American(x) ∧ Debut(x, year2016))","['And(And(About(skolem$x13,malfunctioningRobots),Directed(michael,skolem$x13)),Film(skolem$x13))\n├── About(westworldTheFilm,malfunctioningRobots)\n├── Directed(michael,westworldTheFilm)\n├── Equals(skolem$x13,westworldTheFilm)\n└── Film(westworldTheFilm)\n', 'Not found']" | |
| 245,"In superhero movies, the good guys always win. | |
| The Surprising Adventures of Sir Digby Chicken Caesar is a superhero movie. | |
| Good guys fight bad guys and vice versa. | |
| Sir Digby fights his nemesis. | |
| If a superhero movie is named after a character, that character is a good guy. | |
| The Surprising Adventures of Sir Digby Chicken Caesar is named after Sir Digby. | |
| If somebody wins a fight, the person they are fighting does not win. | |
| If a superhero movie is named after a character, that character is in the movie.",Sir Digby’s nemesis does not win.,T,"∀x ∀y (SuperheroMovie(x) ∧ In(y, x) ∧ GoodGuy(y) → Wins(y)) | |
| SuperheroMovie(theSurprisingAdventuresofSirDigbyChickenCaesar) | |
| ∀x ∀y (GoodGuy(x) ∧ Fight(x, y) ⟷ BadGuy(y) ∧ Fight(y, x)) | |
| Fight(sirDigby, sirDigbysNemesis) | |
| ∀x ∀y (SuperheroMovie(x) ∧ NamedAfter(x, y) → GoodGuy(y)) | |
| NamedAfter(theSurprisingAdventuresofSirDigbyChickenCaesar, sirDigby) | |
| ∀x ∀y (Fights(x, y) ∧ Win(x) → ¬Wins(y)) | |
| ∀x ∀y (SuperheroMovie(x) ∧ NamedAfter(x, y) → In(y, x))",¬Win(sirDigbysNemesis),['Not found'] | |
| 187,"European soccer clubs can attend UCL, UEL, and UECL. | |
| A soccer club eligible to attend UCL has a higher ranking than a soccer club eligible to attend UEL. | |
| A soccer club eligible to attend UEL has a higher ranking than a soccer club eligible to attend UECL. | |
| Manchester United and Machester City are both European soccer clubs. | |
| Manchester United is eligible to attend UEL next season. | |
| Manchester City is eligible to attend UCL next season.",Manchester City has a higher ranking than Manchester United.,T,"∀x (EuropeanSoccerClub(x) → Attend(x, ucl) ∨ Attend(x, uel) ∨ Attend(x, uecl)) | |
| ∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, ucl) ∧ Attend(y, uel) → HigherRank(x, y)) | |
| ∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, uel) ∧ Attend(y, uecl) → HigherRank(x, y)) | |
| EuropeanSoccerClub(manchesterUnited) ∧ EuropeanSoccerClub(manchesterCity) | |
| Attend(manchesterunited, uel) | |
| Attend(manchestercity, ucl)","HigherRank(manchesterCity, manchesterUnited)",['Not found'] | |
| 137,"Greyhound racing is a competitive sport where spectators bet on greyhounds. | |
| Greyhound racing involves coursing. | |
| Some competitive sports where spectators bet on things are banned. | |
| Coursing involves spectators betting on a hare being pursued by greyhounds. | |
| Spectators betting on a hare is a small game. | |
| If a competitive sport involves spectators betting on small games, then it is banned.","No coursing is banned. | |
| Greyhound racing is a competitive sport.","F | |
| T","∀x (GreyhoundRacing(x) → ∃y (CompetitiveSport(x) ∧ Greyhound(y) ∧ BetOn(spectators, y, x))) | |
| ∀x (GreyhoundRacing(x) → Coursing(x)) | |
| ∃x ∃y (CompetitiveSport(x) ∧ BetOn(spectators, y, x) ∧ Banned(x)) | |
| ∀x ∃y ∃z (Coursing(x) → Hare(y) ∧ BetOn(spectators, y, x) ∧ GreyHound(z) ∧ PursuedBy(y, z)) | |
| ∃x ∀y (Hare(x) ∧ BetOn(spectators, x, y) → SmallGame(y)) | |
| ∀x ∃y (CompetitiveSport(x) ∧ SmallGame(y) ∧ BetOn(spectators, y, x) → Banned(x))","∀x (Coursing(x) ∧ ¬Banned(x)) | |
| ∀x (GreyhoundRacing(x) → CompetitiveSport(x))","['Not found', 'Or(Or(CompetitiveSport($x13),Not(GreyhoundRacing($x13))),Not(Skolem$x23($x23,$x13)))\n']" | |
| 6,"Boves is a railway station located in France. | |
| The preceding station of Boves is Longueau. | |
| The preceding station of Dommartin is Boves. | |
| France is a European country. | |
| Dommartin is situated on the Paris–Lille railway. | |
| Any two contiguous stations are on the same railway. | |
| Boves is served by regional TER Hauts-de-France trains. | |
| If place A is located in place B and place B is located in place C, then place A is located in place C. | |
| If place A precedes place B and place B precedes place C, then place A precedes place C.","Longueau is situated on the Paris–Lille railway. | |
| Boves is not in Europe. | |
| Longueau is served by regional TER Hauts-de-France trains.","T | |
| F | |
| U","RailwayStation(boves) ∧ In(boves, france) | |
| Precede(longueau, boves) | |
| Precede(boves, dommartin) | |
| In(france, europe) | |
| SituatedOn(dommartin, pairsLille) | |
| ∀x ∀y ∀z (SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z)) | |
| Serve(boves, hautsDeFrance) | |
| ∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z)) | |
| ∀x ∀y ∀z ((Precede(x, y) ∧ Precede(y, z)) → Precede(x, z))","SituatedOn(longueau, pairsLille) | |
| ¬In(boves, europe) | |
| Serve(longueau, hautsDeFrance)","['SituatedOn(longueau,pairsLille)\n├── Or(Not(Precede($x23,boves)),SituatedOn($x23,pairsLille))\n│ ├── Or(Or(Not(Precede($x23,$x13)),Not(SituatedOn($x13,$x33))),SituatedOn($x23,$x33))\n│ └── SituatedOn(boves,pairsLille)\n│ ├── Or(Not(SituatedOn(dommartin,$x33)),SituatedOn(boves,$x33))\n│ │ ├── Or(Or(Not(Precede($x23,$x13)),Not(SituatedOn($x13,$x33))),SituatedOn($x23,$x33))\n│ │ └── Precede(boves,dommartin)\n│ └── SituatedOn(dommartin,pairsLille)\n└── Precede(longueau,boves)\n', 'In(boves,europe)\n├── In(france,europe)\n└── Or(In(boves,$x36),Not(In(france,$x36)))\n ├── In(boves,france)\n └── Or(Or(In($x16,$x36),Not(In($x16,$x26))),Not(In($x26,$x36)))\n', 'Not found']" | |
| 257,"Some cats are not pets. | |
| All cats are mammals.",Some mammals are not pets.,T,"∃x (Cat(x) ∧ ¬Pet(x)) | |
| ∀x (Cat(x) → Mammal(x))",∃x ∃y (Mammal(x) ∧ Mammal(y) ∧ ¬Pet(x) ∧ ¬Pet(y)),['Not found'] | |
| 207,"TOra is a GUI. | |
| GUIs are software. | |
| Software can be free or paid. | |
| Paid Software is not under the GNU General Public License. | |
| TOra is under the GNU General Public License.","TOra is a paid software. | |
| TOra is a free software.","F | |
| T","GUI(tora) | |
| ∀x (GUI(x) → Software(x)) | |
| ∀x (Software(x) → Free(x) ⊕ Paid(x)) | |
| ∀x (Paid(x) ∧ Software(x) → ¬UnderGNULicense(x)) | |
| UnderGNULicense(tora)","Paid(tora) ∧ Software(tora) | |
| Free(tora) ∧ Software(tora)","['Or(Not(Paid(tora)),Not(Software(tora)))\n├── Or(Or(Not(Paid($x19)),Not(Software($x19))),Not(UnderGNULicense($x19)))\n└── UnderGNULicense(tora)\n', 'And(Free(tora),Software(tora))\n├── Free(tora)\n│ ├── GUI(tora)\n│ └── Or(Free(tora),Not(GUI(tora)))\n│ ├── Or(Free(tora),Not(Software(tora)))\n│ │ ├── Not(Paid(tora))\n│ │ │ ├── GUI(tora)\n│ │ │ └── Or(Not(GUI(tora)),Not(Paid(tora)))\n│ │ │ ├── Or(Not(GUI($x13)),Software($x13))\n│ │ │ └── Or(Not(Paid(tora)),Not(Software(tora)))\n│ │ │ ├── Or(Or(Not(Paid($x19)),Not(Software($x19))),Not(UnderGNULicense($x19)))\n│ │ │ └── UnderGNULicense(tora)\n│ │ └── Or(Or(Free($x16),Not(Software($x16))),Paid($x16))\n│ └── Or(Not(GUI($x13)),Software($x13))\n└── Software(tora)\n ├── GUI(tora)\n └── Or(Not(GUI($x13)),Software($x13))\n']" | |
| 166,"Pets are allowed in some managed buildings. | |
| A deposit is required to rent an apartment in a managed building. | |
| The security deposit can be either equal to the monthly rent at a managed building or more. | |
| Fluffy is Tom's cat. | |
| Cats are pets. | |
| The Olive Garden is a managed building. | |
| The monthly rent at the Olive Garden is $2000. | |
| $2000 is more than $1500. | |
| Tom will rent an apartment in a managed building if he is allowed to move in with Fluffy, and the security deposit is no more than $1500. | |
| If a managed building allows pets, then people are allowed to move in with a pet. ","Tom will rent an apartment in The Olive Garden. | |
| Tom is allowed to move into an apartment in The Olive Garden with Fluffy. | |
| The security deposit at the Olive Garden is either $2000 or more. ","F | |
| U | |
| T","∃x (ManagedBuilding(x) ∧ AllowPet(x)) | |
| ∀x ∀y (ManagedBuilding(x) ∧ RentApartmentIn(y, x) → DepositRequired(y)) | |
| ∀x ∀y ∀z (SecurityDeposit(x) ∧ ManagedBuilding(z) ∧ MonthlyRentAt(y, z) → (MoreThan(x, y) ⊕ Equal(x, y)) | |
| Cat(fluffy) ∧ BelongTo(fluffy, tom) | |
| ∀x (Cat(x) → Pet(x)) | |
| ManagedBuilding(oliveGarden) | |
| MonthlyRentAt(uSD2000, oliveGarden) | |
| MoreThan(uSD2000, uSD1500) | |
| ∀x ∀y (ManagedBuilding(x) ∧ AllowedToMoveInWith(tom, x, fluffy) ∧ SecurityDeposit(y) ∧ ¬MoreThan(y, uSD1500) → RentApartmentIn(tom, x)) | |
| ∀x ∀y ∀z (ManagedBuilding(x) ∧ AllowPet(x) ∧ Pet(z) → AllowedToMoveInWith(y, x, z))","RentApartmentIn(tom, oliveGarden) | |
| AllowedToMoveInWith(tom, oliveGarden, fluffy) | |
| ∀x (SecurityDeposit(x, oliveGarden) → MoreThan(x, uSD2000) ⊕ Equal(x, uSD2000))","['Not found', 'Not found', 'Not found']" | |
| 256,"All cats are mammals. | |
| Some pets are not mammals.",No pets are cats.,U,"∀x (Cat(x) → Mammal(x)) | |
| ∃x (Pet(x) ∧ ¬Mammal(x))",∀x (Pet(x) → ¬Cat(x)),['Not found'] | |
| 84,"Luzon is an island in the Philippines. | |
| In December 1999, an earthquake struck Luzon. | |
| People died in the December 1999 earthquake in Luzon.","Leyte is an island in the Philippines. | |
| No one has ever died in an earthquake that struck the Philippines. | |
| In 1999, there was at least one earthquake in the Philippines.","U | |
| F | |
| T","Island(luzon) ∧ In(luzon, philippines) | |
| ∃x (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, luzon)) | |
| ∃x (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, luzon) ∧ Deadly(x))","Island(leyte) ∧ In(leyte, philippines) | |
| ∀x ∀y ((Earthquake(x) ∧ StrikeInCity(x, y) ∧ In(y, philippines)) → ¬Deadly(x)) | |
| ∃x ∃y (Earthquake(x) ∧ StrikeInYr(x, year1999) ∧ StrikeInMo(x, december) ∧ StrikeInCity(x, y) ∧ In(y, philippines))","['Not found', 'Not found', 'Not found']" | |
| 25,"Philatelic literature is divided into the following categories: Stamp catalogs, Periodicals, Auction catalogs, Books, Bibliographies, and Background Material. | |
| Mort is not a Stamp catalog. | |
| Mort is not a periodical, auction catalog, bibliography, or background material. | |
| Mort is a piece of Philatelic literature.","Mort is background material. | |
| Eragon is a piece of Philatelic literature.","F | |
| U","∀x (PhilatelicLit(x) → (Stamp(x) ∨ Periodical(x) ∨ Auction(x) ∨ Book(x) ∨ Bibliography(x) ∨ Background(x))) | |
| ¬Stamp(mort) | |
| ¬(Periodical(mort) ∨ Auction(mort) ∨ Bibliography(mort) ∨ Background(mort)) | |
| PhilatelicLit(mort)","Background(mort) | |
| PhilatelicLit(eragon)","['Not(Background(mort))\n', 'Not found']" | |
| 147,"Vic DiCara plays guitar and bass. | |
| The only style of music Vic DiCara plays is punk music. | |
| Vic DiCara played in the band Inside Out.","Inside Out was a punk band. | |
| A musician from Inside Out plays bass.","U | |
| T","Play(vicDicara, guitar) ∧ Play(vicDicara, bass) | |
| ∀x (Music(vicDicara, x) → ¬(x=punk))) | |
| Band(vicDicara, insideOut)","Music(insideOut, punk) | |
| ∃x (Band(x, insideOut) ∧ Play(x, bass))","['Not found', 'And(Band(skolem$x16,insideOut),Play(skolem$x16,bass))\n├── Band(vicDicara,insideOut)\n├── Equals(skolem$x16,vicDicara)\n└── Play(vicDicara,bass)\n']" | |
| 138,"""The Wind is Watching"" is an American film. | |
| ""The Wind is Watching"" is produced in Ohio. | |
| Some American films are dystopian. | |
| Faraj and Cook both directed the film ""The Wind is Watching."" | |
| If a film is directed by Faraj, then the film has a small budget. | |
| If films are produced in Ohio and they have a small budget, then it is hard to get access to their copies.","It is hard to get access to copies of the film ""The Wind is Watching"". | |
| ""The Wind is Watching"" has a small budget. | |
| ""The Wind is Watching"" is a dystopian film.","T | |
| T | |
| U","AmericanFilm(theWindIsWatching) | |
| ProducedIn(theWindIsWatching, ohio) | |
| ∃x ∃y (AmericanFilm(x) ∧ Dystopian(x) ∧ AmericanFilm(y) ∧ Dystopian(y)) | |
| DirectedBy(theWindIsWatching, faraj) ∧ DirectedBy(theWindIsWatching, cook) | |
| ∀x (DirectedBy(x, faraj) → Have(x, smallBudget)) | |
| ∀x ∀y(ProducedIn(x, ohio) ∧ Have(x, smallBudget) ∧ CopyOf(y, x) → HardToAccess(y))","HardToAccess(theWindIsWatching) | |
| Have(theWindIsWatching, smallBudget) | |
| Dystopian(theWindIsWatching)","['Not found', 'Have(theWindIsWatching,smallBudget)\n├── DirectedBy(theWindIsWatching,faraj)\n└── Or(Have($x16,smallBudget),Not(DirectedBy($x16,faraj)))\n', 'Not found']" | |
| 177,"The National Lobster Hatchery is a hatchery located in Padstow, England. | |
| The National Lobster Hatchery is open to visitors. | |
| A hatchery is either for profit or for conservation. | |
| If a hatchery is for conservation, it might release animals into the wild. | |
| The National Lobster Hatchery is not for profit.","The National Lobster Hatchery is for conservation. | |
| All hatcheries are open to visitors. | |
| The National Lobster Hatchery releases animals into the wild.","T | |
| U | |
| U","Hatchery(nationalLobsterHatchery) ∧ LocatedIn(nationalLobsterHatchery, padstowEngland) | |
| OpenToVisitor(nationalLobsterHatchery) | |
| ∀x (Hatchery(x) → ForConservation(x) ⊕ ForProfit(x)) | |
| ∃x (Hatchery(x) ∧ ForConservation(x) ∧ ReleaseAnimalToWild(x)) | |
| ¬ForProfit(nationalLobsterHatchery)","ForConservation(nationalLobsterhatchery) | |
| ∀x (Hatchery(x) → OpenToVisitors(x)) | |
| ReleaseAnimalToWild(nationalLobsterhatchery)","['Not found', 'Not found', 'Not found']" | |
| 85,"Diethylcarbamazine is a medication discovered in the year 1947. | |
| Diethylcarbamazine can be used to treat river blindness. | |
| The only preferred treatment for river blindness is ivermectin. | |
| Diethylcarbamazine is not ivermectin.","Diethylcarbamazine is not preferred for the treatment of river blindness. | |
| Diethylcarbamazine was often used to treat river blindness. | |
| Diethylcarbamazine is used in the treatment of filariasis.","T | |
| U | |
| U","Medication(diethylcarbamazine) ∧ DiscoversIn(diethylcarbamazine, yr1947) | |
| Treats(diethylcarbamazine, riverBlindness) | |
| PreferredTreatmentFor(riverBlindness, ivermectin) | |
| ¬(Is(diethylcarbamazine, ivermectin))","¬(PreferredTreatmentFor(riverBlindness, diethylcarbamazine)) | |
| Treats(diethylcarbamazine, riverBlindness) | |
| Treats(diethylcarbamazine, filariasis)","['Not found', 'Treats(diethylcarbamazine,riverBlindness)\n', 'Not found']" | |
| 131,"Machine Learning algorithms can be categorized as supervised learning, unsupervised learning, and reinforcement learning. | |
| Unsupervised learning algorithms do not require labeled data. | |
| The state-of-the-art text summarization model is trained with machine learning algorithms. | |
| Reinforcement learning is not used to train the state-of-the-art text summarization model. | |
| The Machine Learning algorithm for training text summarization models requires labeled data.","Supervised learning is used to train the state-of-the-art text summarization model. | |
| Unsupervised learning is used to train the state-of-the-art text summarization model. ","T | |
| F","∀x (MachineLearningAlgorithm(x) → SupervisedLearningAlgorithm(x) ∨ UnsupervisedLearningAlgorithm(x) ∨ ReinforcementLearningAlgorithm(x)) | |
| ∀x (UnsupervisedLearningAlgorithm(x) → ¬Require(x, labeledData)) | |
| ∀x (TrainedWith(stateOfTheArtTextSummarizationModel, x) → MachineLearningAlgorithm(x)) | |
| ∀x (ReinforcementLearningAlgorithm(x) → ¬TrainedWith(stateOfTheArtTextSummarizationModel, x)) | |
| ∀x ((MachineLearningAlgorithm(x) ∧ TrainedWith(stateOfTheArtTextSummarizationModel, x)) → Require(x, labeledData))","∃x (SupervisedLearningAlgorithm(x) ∧ TrainedWith(stateOfTheArtTextSummarizationModel, x)) | |
| ∃x (UnsupervisedLearningAlgorithm(x) ∧ TrainedWith(stateOfTheArtTextSummarizationModel, x))","['Not found', 'Not found']" | |
| 77,"Jan Jelinek makes glitch and minimal techno music. | |
| Anyone making glitch, minimal techno, or microhouse is an electronic musician. | |
| Jan Jelinek publishes music through the Faitiche label. | |
| Any musician releasing music through a label is a signed musician.","Jan Jelinek is an electronic musician. | |
| Jan Jelinek is not a signed musician. | |
| Jan Jelinek is German.","T | |
| F | |
| U","Make(janJelinek, glitch) ∧ Make(janJelinek, minimalTechno) | |
| ∀x ((Make(x, glitch) ∨ Make(x, minimalTechno) ∨ Make(x, microHouse)) → ElectronicMusician(x)) | |
| PublishThroughLabel(janJelinek, faitiche) | |
| ∀x ((∃y (PublishThroughLabel(x, y))) → SignedMusician(x))","ElectronicMusician(janJelinek) | |
| ¬SignedMusician(janJelinek) | |
| German(janJelinek)","['ElectronicMusician(janJelinek)\n├── Make(janJelinek,glitch)\n└── Or(ElectronicMusician($x13),Not(Make($x13,glitch)))\n', 'SignedMusician(janJelinek)\n├── Or(Not(PublishThroughLabel($x16,$x23)),SignedMusician($x16))\n└── PublishThroughLabel(janJelinek,faitiche)\n', 'Not found']" | |
| 21,"The Golden State Warriors are a team from San Francisco. | |
| The Golden State Warriors won the NBA finals. | |
| All teams attending the NBA finals have won many games. | |
| Boston Celtics are a team that lost the NBA finals. | |
| If a team wins the NBA finals, then they will have more income. | |
| If a team wins or loses at the NBA finals, then they are attending the finals.","The Boston Celtics are from San Francisco. | |
| The Boston Celtics have more than 30 years of experience. | |
| The Golden State Warriors will have more income from gate receipts.","U | |
| T | |
| T","Team(goldenStateWarriors) ∧ From(goldenStateWarriors, sanFrancisco) | |
| Won(goldenStateWarriors, nbaFinals) | |
| ∀x ((Team(x) ∧ Attending(x, nbaFinals)) → WonManyGames(x)) | |
| Team(bostonCeltics) ∧ Lost(bostonCeltics, nbaFinals) | |
| ∀x ((Team(x) ∧ Won(x, nbaFinals)) → MoreIncome(x)) | |
| ∀x ((Won(x, nbaFinals) ∨ Lost(x, nbaFinals)) → Attending(x, nbaFinals))","From(bostonCeltics, sanFrancisco) | |
| HasMoreThanThirtyYearsOfHistory(bostonCeltics) | |
| MoreIncome(goldenStateWarriors)","['Not found', 'Not found', 'MoreIncome(goldenStateWarriors)\n├── Or(MoreIncome(goldenStateWarriors),Not(Won(goldenStateWarriors,nbaFinals)))\n│ ├── Or(Or(MoreIncome($x16),Not(Team($x16))),Not(Won($x16,nbaFinals)))\n│ └── Team(goldenStateWarriors)\n└── Won(goldenStateWarriors,nbaFinals)\n']" | |
| 226,"William Dickinson was a British politician who sat in the House of Commons | |
| William Dickinson attended Westminster school for high school and then the University of Edinburgh. | |
| The University of Edinburgh is a university located in the United Kingdom. | |
| William Dickinson supported the Portland Whigs. | |
| People who supported the Portland Whigs did not get a seat in the Parliament.","William Dickinson did not get a seat in Parliament. | |
| William Dickinson went to schools located in the United Kingdom for both high school and university. | |
| William Dickinson attended university in the United Kingdom. | |
| William Dickinson sat in the House of Commons.","T | |
| U | |
| T | |
| T","British(williamDickinson) ∧ Politician(williamDickinson) ∧ SatIn(williamDickinson, houseOfCommons) | |
| Attended(williamDickinson, westminsterSchool) ∧ Highschool(westminsterSchool) ∧ Attended(williamDickinson, universityOfEdinburgh) | |
| University(universityOfEdinburgh) ∧ LocatedIn(universityOfEdinburgh, unitedKingdom) | |
| Supported(williamDickinson, portlandWhigs) | |
| ∀x (Supported(x, portlandWhigs) → ¬SatIn(x, parliament))","SatIn(williamDickinson, parliament) | |
| ∃x ∃y (Attended(williamDickinson, x) ∧ Highschool(x) ∧ LocatedIn(x, unitedKingdom) ∧ Attended(williamDickinson, y) ∧ University(y) ∧ LocatedIn(y, unitedKingdom)) | |
| ∃x (Attended(williamDickinson, x) ∧ University(x) ∧ LocatedIn(x, unitedKingdom)) | |
| SatIn(williamDickinson, houseOfCommons)","['Not(SatIn(williamDickinson,parliament))\n├── Or(Not(SatIn($x13,parliament)),Not(Supported($x13,portlandWhigs)))\n└── Supported(williamDickinson,portlandWhigs)\n', 'Not found', 'And(And(Attended(williamDickinson,skolem$x19),LocatedIn(skolem$x19,unitedKingdom)),University(skolem$x19))\n├── Attended(williamDickinson,universityOfEdinburgh)\n├── Equals(skolem$x19,universityOfEdinburgh)\n├── LocatedIn(universityOfEdinburgh,unitedKingdom)\n└── University(universityOfEdinburgh)\n', 'SatIn(williamDickinson,houseOfCommons)\n']" | |
| 275,"Bulbophyllum attenuatum is in the genus Bulbophyllum. | |
| All Bulbophyllum are orchids.",Bulbophyllum attenuatum is not an orchid.,F,"GenusBulbophyllum(bulbophyllumAttenuatum) | |
| ∀x (GenusBulbophyllum(x) → Orchid(x))",¬Orchid(bulbophyllumAttenuatum),"['Orchid(bulbophyllumAttenuatum)\n├── GenusBulbophyllum(bulbophyllumAttenuatum)\n└── Or(Not(GenusBulbophyllum($x13)),Orchid($x13))\n']" | |
| 236,"Cancer biology is finding genetic alterations that confer a selective advantage to cancer cells. | |
| Cancer researchers have frequently ranked the importance of substitutions to cancer growth by the P value. | |
| P values are thresholds for belief, not metrics of effect. ","Cancer researchers tend to use the cancer effect size to determine the relative importance of the genetic alterations that confer selective advantage to cancer cells. | |
| P value represents the selection intensity for somatic variants in cancer cell lineages. | |
| Cancer effect size is preferred by cancer researchers. | |
| P values don't represent metrics of effect.","U | |
| U | |
| U | |
| T","Finding(cancerBiology, geneticAlteration) ∧ Confer(geneticAlteration, selectiveAdvantage, toCancerCell) | |
| ∃x ∃y (CancerResearcher(x) ∧ Ranked(x, importanceOfSubstitutionsToCancerGrowth) ∧ PValue(y) ∧ RankedBy(importanceOfSubstitutionsToCancerGrowth, y)) | |
| ∀x (PValue(x) → ThresholdForBelief(x) ∧ ¬MetricOfEffect(x))","∃x ∃y (CancerResearcher(x) ∧ Use(x, cancerEffectSize) ∧ UsedToDetermine(cancerEffectSize, relativeImportanceOfGeneteticAlterations)) | |
| SelectionIntensitySomaticVariants(pValue) | |
| Preferred(cancerResearchers, cancerEffectSize) | |
| ∀x (PValue(x) → ¬MetricsOfEffect(x))","['Not found', 'Not found', 'Not found', 'Not found']" | |
| 42,"James Cocks was a British lawyer. | |
| James Cocks was a Whig politician who sat in the House of Commons. | |
| A British is a European. | |
| Any lawyer is familiar with laws. | |
| Some Whigs speak French.","No lawyer ever sat in the House of Commons. | |
| Some European was familiar with laws. | |
| James Cocks speaks French.","F | |
| T | |
| U","British(james) ∧ Lawyer(james) | |
| Whig(james) ∧ Politician(james) ∧ SatInHouseOfCommons(james) | |
| ∀x (British(x) → European(x)) | |
| ∀x (Lawyer(x) → FamiliarWithLaws(x)) | |
| ∃x ∃y (Whig(x) ∧ SpeakFrench(x)) ∧ (¬(x=y)) ∧ (Whig(y) ∧ SpeakFrench(y))","∀x (Lawyer(x) → ¬SatInHouseOfCommons(x)) | |
| ∃x (European(x) ∧ FamiliarWithLaws(x)) | |
| SpeakFrench(james)","['And(Lawyer(skolem$x113),SatInHouseOfCommons(skolem$x113))\n├── Equals(skolem$x113,james)\n├── Lawyer(james)\n└── SatInHouseOfCommons(james)\n', 'And(European(skolem$x116),FamiliarWithLaws(skolem$x116))\n├── Equals(skolem$x116,james)\n├── European(james)\n│ ├── British(james)\n│ └── Or(European($x13),Not(British($x13)))\n└── FamiliarWithLaws(james)\n ├── Lawyer(james)\n └── Or(FamiliarWithLaws($x16),Not(Lawyer($x16)))\n', 'Not found']" | |
| 160,"Common utilities include water, electricity, gas, heating, sewer, trash, and recycling. | |
| Many apartment rents cover the cost of water and electricity. | |
| Susan lives in an apartment where the rent covers all utilities. | |
| The rent of the apartment where Ava lives does not cover any utility expenses. | |
| Noah lives in an apartment where the rent does not cover heating.","Noah needs to pay the water bill. | |
| Noah and Ava both need to pay the heating bill. | |
| Susan does not need to pay the water bill.","U | |
| T | |
| T","CommonUtilities(water) ∧ CommonUtilities(electricity) ∧ CommonUtilities(gas) ∧ CommonUtilities(heating) | |
| ∃x (Apartment(x) ∧ Cover(x, water) ∧ Cover(x, electricity)) | |
| ∀x (Apartment(x) ∧ LiveIn(susan, x) ∧ Cover(x, water) ∧ Cover(x, electricity) ∧ Cover(x, gas) ∧ Cover(x, heating)) | |
| ∀x (Apartment(x) ∧ LiveIn(ava, x) ∧ ¬Cover(x, water) ∧ ¬Cover(x, electricity) ∧ ¬Cover(x, gas) ∧ ¬Cover(x, heating)) | |
| ∀x (Apartment(x) ∧ LiveIn(noah, x) ∧ ¬Cover(x, heating))","∀x (Apartment(x) ∧ LiveIn(noah, x) ∧ ¬Cover(x, water)) | |
| ¬Cover(noah, heating) ∧ ¬Cover(ava, heating) | |
| ∀x (Apartment(x) ∧ LiveIn(susan, x) ∧ Cover(x, water))","['Or(Or(Cover(skolem$x116,water),Not(Apartment(skolem$x116))),Not(LiveIn(noah,skolem$x116)))\n└── Cover($x16,water)\n', 'Or(Cover(ava,heating),Cover(noah,heating))\n└── Cover($x16,heating)\n', 'Not found']" | |
| 284,"Each building is tall. | |
| Everything tall has height.",All buildings are magnificent.,U,"∀x (Building(x) → Tall(x)) | |
| ∀x (Tall(x) → Height(x))",∀x (Building(x) → Magnificent(x)),['Not found'] | |
| 283,"Chairs are furniture. | |
| All furniture objects.",Some chairs are not objects.,F,"∀x (Chair(x) → Furniture(x)) | |
| ∀x (Furniture(x) → Object(x))",∃x ∃y (Chair(x) ∧ Chair(y) ∧ ¬Object(x) ∧ ¬Object(y) ∧ ¬(x=y)),['Not found'] | |
| 22,"If a customer subscribes to AMC A-List, then he/she can watch 3 movies every week without any additional fees. | |
| Some customers go to cinemas every week. | |
| Customers who prefer TV series will not watch TV series in cinemas. | |
| James watches TV series in cinemas. | |
| James subscribes to AMC A-List. | |
| Peter prefers TV series.","James cannot watch 3 movies every week without any additional fees. | |
| James goes to cinemas every week. | |
| Peter will not watch TV series in cinemas.","F | |
| U | |
| T","∀x (SubscribedTo(x, aMCAList) → EligibleForThreeFreeMovies(x)) | |
| ∃x (CinemaEveryWeek(x)) | |
| ∀x (Prefer(x, tVSeries) → ¬WatchTVIn(x, cinemas)) | |
| WatchTVIn(james, cinemas) | |
| SubscribedTo(james, aMCAList) | |
| Prefer(peter, tVSeries)","¬EligibleForThreeFreeMovies(james) | |
| CinemaEveryWeek(james) | |
| ¬WatchTVIn(peter, cinemas)","['EligibleForThreeFreeMovies(james)\n├── Or(EligibleForThreeFreeMovies($x13),Not(SubscribedTo($x13,aMCAList)))\n└── SubscribedTo(james,aMCAList)\n', 'Not found', 'Not(WatchTVIn(peter,cinemas))\n├── Or(Not(Prefer($x19,tVSeries)),Not(WatchTVIn($x19,cinemas)))\n└── Prefer(peter,tVSeries)\n']" | |
| 13,"System 7 is a UK-based electronic dance music band. | |
| Steve Hillage and Miquette Giraudy formed System 7. | |
| Steve Hillage and Miquette Giraudy are former members of the band Gong. | |
| Electric dance music bands are bands. | |
| System 7 has released several club singles. | |
| Club singles are not singles.","System 7 was formed by former members of Gong. | |
| System 7 has released several singles. | |
| System 7 is not a band.","T | |
| U | |
| F","BasedIn(system7, uk) ∧ ElectronicDanceMusicBand(system7) | |
| Form(stevehillage, system7) ∧ Form(miquettegiraudy, system7) | |
| FormerMemberOf(stevehillage, gong) ∧ FormerMemberOf(miquettegiraudy, gong) | |
| ∀x (ElectronicDanceMusicBand(x) → Band(x)) | |
| ∃x (ClubSingle(x) ∧ Release(system7, x)) | |
| ∀x (ClubSingle(x) → ¬Single(x))","∃x (Form(x, system7) ∧ FormerMemberOf(x, gong)) | |
| ∃x (Single(x) ∧ Release(system7, x)) | |
| ¬Band(system7)","['And(Form(skolem$x112,system7),FormerMemberOf(skolem$x112,gong))\n├── Equals(skolem$x112,stevehillage)\n├── Form(stevehillage,system7)\n└── FormerMemberOf(stevehillage,gong)\n', 'Not found', 'Band(system7)\n├── ElectronicDanceMusicBand(system7)\n└── Or(Band($x13),Not(ElectronicDanceMusicBand($x13)))\n']" | |
| 146,"Catullus 4 is a poem written by the ancient Roman writer Catullus. | |
| Catullus 4 is a story about the retirement of a well-traveled ship. | |
| There is a strong analogy of human aging in the poem Catullus 4. | |
| Catullus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves.","There is a poem written by an ancient Roman writer with a strong analogy of human aging. | |
| There is a poem written by an ancient Roman writer in iambic trimeter. | |
| Callus 4 is written in an unusual iambic trimeter to convey a strong analogy of human aging.","T | |
| U | |
| T","Poem(catullus4) ∧ WrittenBy(catullus4, catullus) ∧ AncientRomanWriter(catullus) | |
| Story(catullus4) ∧ About(catullus4, retirementOfAWellTraveledShip) | |
| Poem(catullus4) ∧ StrongAgingAnalogy(catullus4) | |
| Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ Convey(catullus4, aSenseOfSpeedOverTheWaves)","∃x ∃y (Poem(x) ∧ WrittenBy(x, y) ∧ AncietRomanWriter(y) ∧ StrongAgingAnalogy(x)) | |
| ∃x ∃y (Poem(x) ∧ WrittenBy(x, y) ∧ AncientRomanWriter(y) ∧ WrittenIn(x, iambicTrimeter)) | |
| Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ StrongAgingAnalogy(catullus4)","['Not found', 'Not found', 'And(Poem(catullus4),And(WrittenIn(catullus4,iambicTrimeter),StrongAgingAnalogy(catullus4)))\n├── Poem(catullus4)\n├── StrongAgingAnalogy(catullus4)\n└── WrittenIn(catullus4,iambicTrimeter)\n']" | |
| 295,"Some affection is love. | |
| Some love is positive.",Some affection is positive.,U,"∃x (Affection(x) ∧ Love(x)) | |
| ∃x (Love(x) ∧ Positive(x))",∃x (Affection(x) ∧ Positive(x)),['Not found'] | |
| 124,"The Picuris Mountains are a mountain range in New Mexico or Texas. | |
| Juan de Onate visited the Picuris Mountains. | |
| The Harding Pegmatite Mine, located in the Picuris Mountains, was donated. | |
| There are no mountain ranges in texas that have mines that have been donated.","Juan de Onate visited a mountain range in New Mexico. | |
| Juan de Onate visited a mountain range in Texas. | |
| The Harding Pegmatite Mine is not located in a mountain range in New Mexico.","T | |
| U | |
| F","MountainRange(thePicurisMountains) ∧ (In(thePicurisMountains, newMexico) ⊕ In(thePicurisMountains, texas)) | |
| Visited(juanDeOnate, thePicurisMountains) | |
| In(hardingPegmatiteMine, thePicurisMountains) ∧ Mine(hardingPegmatiteMine) ∧ Donated(hardingPegmatiteMine) | |
| ∀x ∀y (Mine(x) ∧ Donated(x) ∧ In(x, y) ∧ MountainRange(y) → ¬In(y, texas))","∃x (Visited(juanDeOnate, x) ∧ MountainRange(x) ∧ In(x, newMexico)) | |
| ∃x (Visited(juanDeOnate, x) ∧ MountainRange(x) ∧ In(x, texas)) | |
| ∀x (In(hardingPegmatiteMine, x) → ¬(MountainRange(x) ∧ In(x, newMexico)))","['Not found', 'Not found', 'Not found']" | |
| 93,"Roy Richardson was a cricketer who played for Sint Maarten, a constituent country. | |
| Roy Richardson was a right-handed batsman and medium-pace bowler. | |
| Roy Richardson was old when he debuted in cricket. | |
| Sherville Huggins dismissed Roy Richardson.","Sherville Huggins has never dismissed anyone playing cricket for a constituent country. | |
| No right-handed medium-pace bowlers were playing for Sint Maarten.","F | |
| F","Cricketeer(royRichardson) ∧ PlaysFor(royRichardson, sintMaarten) ∧ ConstituentCountry(sintMaarten) | |
| RightHanded(royRichardson) ∧ Batsman(royRichardson) ∧ MediumPaceBowler(royRichardson) | |
| OldAtDebut(royRichardson) | |
| Dismisses(shervilleHuggins, royRichardson)","∀x ∀y ((ConsituentCountry(y) ∧ PlayedFor(x, y)) → ¬Dismissed(shervillehuggins, x)) | |
| ∀x ((RightHanded(x) ∧ MediumPaceBowler(x)) → ¬PlayedFor(x, sintMaarten))","['Not found', 'Not found']" | |
| 32,"Hugh Vanstone is one of the world's leading lighting designers. | |
| Hugh Vanstone is from the UK. | |
| Hugh Vanstone has lit more than 160 productions. | |
| Hugh Vanstone attended a school where he is from. ","Hugh Vanstone is one of the world's leading lighting designers and is from the UK. | |
| Hugh Vanstone has lit 170 productions. | |
| Hugh Vanstone attended a school in the United States.","T | |
| U | |
| U","WorldLeadingLightingDesigner(hughVanstone) | |
| From(hughVanstone, unitedKingdom) | |
| ∃x(GreaterThan(x, num160) ∧ LitProductions(hughVanstone,x)) | |
| ∃x(Hometown(hughVanstone,x) ∧ AttendedSchoolIn(hughVanstone,x))","WorldLeadingLightingDesigner(hughVanstone) ∧ From(hughVanstone, unitedKingdom) | |
| ∃x(GreaterThan(x, num170) ∧ LitProductions(hughVanstone,x)) | |
| AttendedSchoolIn(hughVanstone, unitedStates)","['And(WorldLeadingLightingDesigner(hughVanstone),From(hughVanstone,unitedKingdom))\n├── From(hughVanstone,unitedKingdom)\n└── WorldLeadingLightingDesigner(hughVanstone)\n', 'Not found', 'Not found']" | |
| 206,"China is one of the BRICS, and its economy is emerging. | |
| If someone is from China, then they are from a country of BRICS. | |
| India is one of the BRICS, and its economy is emerging. | |
| If someone is from India, then they are in a country of BRICS. | |
| All people from China are Chinese people. | |
| All people from India are Indian people. | |
| There is a person from India.","No people from BRICS are Indian people. | |
| India's economy is not emerging. | |
| There is an Indian people from BRICS.","F | |
| F | |
| T","∃x (BRIC(x) ∧ ¬(x=china) ∧ BRIC(china) ∧ Emerging(chinaEconomy)) | |
| ∀x (From(x, china) → From(x, bric)) | |
| BRIC(india) ∧ Emerging(indiaEconomy) | |
| ∀x (From(x, india) → From(x, bric)) | |
| ∀x (From(x, china) → Chinese(x)) | |
| ∀x (From(x, india) → Indian(x)) | |
| ∃x (From(x, india))","∀x (From(x, countryOfBRICS) → ¬IndianPeople(x)) | |
| EmergingEconomy(india) | |
| ∃x (IndianPeople(x) ∧ From(x, countryOfBRICS))","['Not found', 'Not found', 'Not found']" | |
| 231,"The 2008 Summer Olympics were held in Beijing, China. | |
| The 2008 Summer Olympics was the second Summer Olympic Games held in a communist state. | |
| China won the most gold medals (48) in the 2008 Summer Olympics. | |
| The United States placed second in the gold medal tally but won the highest number of medals overall (112) in the 2008 Summer Olympics. | |
| The third place in the gold medal tally was achieved by Russia in the 2008 Summer Olympics. | |
| If a country placed third in gold medals, then it had fewer gold medals than the team that won the most gold medals.","Russia did not win fewer gold medals than China. | |
| Russia won fewer gold medals than China.","F | |
| T","HeldIn(2008SummerOlympics, beijingChina) | |
| SecondSummerOlympicsGames(2008SummerOlympics) ∧ BeHeldIn(2008SummerOlympics, communistState) | |
| Won(china, theMostGoldMedals) | |
| PlacedSecondInGoldMedalsIn(unitedStates, 2008SummerOlympics) ∧ Won(unitedStates, highestNumberOfMedals) | |
| PlacedThirdInGoldMedalsIn(russia, 2008SummerOlympics) | |
| ∀x ∀y (Placed(x, thirdInGoldMedals) ∧ Won(y, mostGoldMedals) → FewerGoldMedalsThan(x, y))","¬FewerGoldMedalsThan(russia, china) | |
| FewerGoldMedalsThan(russia, china)","['Not found', 'Not found']" | |
| 129,"The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming, and John McCarthy. | |
| Donald Knuth made contributions to the analysis of algorithms. | |
| Marvin Minsky is recognized for his contributions to the field of artificial intelligence. | |
| Richard Hamming researched numerical methods. | |
| John McCarthy made contributions to the field of artificial intelligence. ","At least two people who have won the Turing Award worked in artificial intelligence. | |
| At least two people who worked in artificial intelligence have won the Turing Award. | |
| Only one person who won the Turing Award made significant contributions to the analysis of algorithms. | |
| No Turing Award winners worked in the field of numerical methods.","T | |
| T | |
| U | |
| F","AwardedTo(turingAward, donaldKnuth) ∧ AwardedTo(turingAward, marvinMinsky) ∧ AwardedTo(turingAward, richardHamming) ∧ AwardedTo(turingAward, johnMccarthy) | |
| ContributedTo(donaldKnuth, analysisOfAlgorithms) | |
| ContributedTo(marvinMinsky, artificialIntelligence) | |
| ContributedTo(richardHamming, numericalMethods) | |
| ContributedTo(johnMccarthy, artificialIntelligence)","∃x ∃y (¬(x=y) ∧ AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y) ∧ ContributedTo(x, artificialIntelligence) ∧ ContributedTo(y, artificialIntelligence)) | |
| ∃x ∃y (¬(x=y) ∧ ContributedTo(x, artificialIntelligence) ∧ ContributedTo(x, artificialIntelligence) ∧ AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y)) | |
| ∃x ∀y ((AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y) ∧ ContributedTo(y, algorithms) ∧ ¬(x=y)) → ¬ContributedTo(y, algorithms)) | |
| ∀x (AwardedTo(turingAward, x) → ¬ContributedTo(x, numericalMethods))","['Not found', 'Not found', 'Not found', 'And(AwardedTo(turingAward,skolem$x113),ContributedTo(skolem$x113,numericalMethods))\n├── AwardedTo(turingAward,richardHamming)\n├── ContributedTo(richardHamming,numericalMethods)\n└── Equals(skolem$x113,richardHamming)\n']" | |
| 24,"If a Leetcode problem is at the easy level, then its AC rate is lower than 20 percent. | |
| All Leetcode problems that are recommended to novices are easy. | |
| A Leetode problem is either easy or hard. | |
| Leetcode problems that are starred by more than one thousand users are hard. | |
| 2Sum is recommended to novices. | |
| 4Sum is starred by more than 1,000 users.","2Sum is a Leetcode problem at the easy level. | |
| 4Sum is a Leetcode problem recommended to the novice. | |
| 2Sum has an AC rate higher than 20 percent.","T | |
| F | |
| F","∀x (Easy(x) → ∃y (LessThan(y, percent20) ∧ ACRate(x,y))) | |
| ∀x (Recommended(x) → Easy(x)) | |
| ∀x (Easy(x) ⊕ Hard(x)) | |
| ∀x (Starred(x) → Hard(x)) | |
| Recommended(twosum) | |
| Starred(foursum)","Easy(twosum) | |
| Recommended(foursum) | |
| ∃y(GreaterThan(y, percent20) ∧ ACRate(2Sum,y))","['Easy(twosum)\n├── Or(Easy($x16),Not(Recommended($x16)))\n└── Recommended(twosum)\n', 'Not(Recommended(foursum))\n├── Not(Easy(foursum))\n│ ├── Hard(foursum)\n│ │ ├── Or(Hard($x112),Not(Starred($x112)))\n│ │ └── Starred(foursum)\n│ └── Or(Not(Easy($x19)),Not(Hard($x19)))\n└── Or(Easy($x16),Not(Recommended($x16)))\n', 'Not found']" | |
| 148,"Boney M. had several German #1 singles. | |
| ""Hooray! Hooray! It's a Holi-Holiday!"" was a big hit all over Europe. | |
| ""Hooray! Hooray! It's a Holi-Holiday!"" was not in German #1 singles. | |
| A song that peaks below #1 on the german charts is also a song that is not the #1 single in Germany.","""Hooray! Hooray! It's a Holi-Holiday!"" was the #1 hit in Germany. | |
| ""Hooray! Hooray! It's a Holi-Holiday!"" peaked below #1 on the German charts. | |
| ""Hooray! Hooray! It's a Holi-Holiday!"" peaked at #3 on the UK charts.","F | |
| T | |
| U","∃x (Song(x) ∧ By(x, boneym,) ∧ Number1GermanSingle(x)) | |
| Song(hoorayHoorayItsAHoliHoliday) ∧ HitAllOverEurope(hoorayHoorayItsAHoliHoliday) | |
| Song(hoorayHoorayItsAHoliHoliday) ∧ ¬Number1GermanSingle(hoorayHoorayItsAHoliHoliday) | |
| ∀x (PeakBelowOn(x, number1, germanChart) → ¬Number1GermanSingle(x))","Song(hoorayHoorayItsAHoliHoliday) ∧ Number1GermanSingle(hoorayHoorayItsAHoliHoliday) | |
| PeaksBelowOn(hoorayHoorayItsAHoliHoliday, number1, germanChart) | |
| PeaksAtOn(hoorayHoorayItsAHoliHoliday, number3, germanChart)","['Or(Not(Number1GermanSingle(hoorayHoorayItsAHoliHoliday)),Not(Song(hoorayHoorayItsAHoliHoliday)))\n└── Not(Number1GermanSingle(hoorayHoorayItsAHoliHoliday))\n', 'Not found', 'Not found']" | |
| 172,"Indonesia is a country. | |
| In Indonesia, the prosecutor only personally investigates cases of some special crimes. | |
| Corruption is a type of crime. | |
| Once the police complete crime investigations, the evidence is handed to the prosecutor. | |
| Evidence can be either satisfactory or unsatisfactory. | |
| If the evidence is handed to the prosecutor and the evidence is satisfactory, the prosecutor will prosecute the offender in an appropriate court.","When the police complete investigations, the prosecutor will prosecute the offender at an appropriate court. | |
| In Indonesia, the prosecutor personally investigates cases of corruption. | |
| When the police complete investigations, the prosecutor investigates personally.","U | |
| U | |
| U","Country(indonesia) | |
| ∀x ∃y (In(indonesia) ∧ Prosecutor(x) ∧ SpecialCrime(y) → InvestigatePersonally(x, y)) | |
| Crime(corruption) | |
| ∀x ∀y ∀z (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → Evidence(z) ∧ HandedTo(z, x)) | |
| ∀x (Evidence(x) ∧ (Satisfactory(x) ⊕ Unsatisfactory(x))) | |
| ∀x ∀y (Evidence(y) ∧ Prosecutor(x) ∧ HandedTo(x) ∧ Satisfactory(y) → ProsecuteInAppropriateCourt(x, theOffender))","∀x ∀y (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → ProsecuteInAppropriateCourt(x, theOffender)) | |
| ∀x (Country(indonesia) ∧ Prosecutor(x) ∧ Crime(corruption) → InvestigatePersonally(x, corruption)) | |
| ∀x ∀y (Crime(y) ∧ PoliceCompleteInvestigation(y) ∧ Prosecutor(x) → InvestigatePersonally(x, y))","['Not found', 'Not found', 'Not found']" | |
| 95,"DI Ray is a police procedural television series. | |
| DI Ray was created and written by Maya Sondhi. | |
| DI Ray was produced by Jed Mercurio. | |
| Maya Sondhi and Jed Mercurio are both British.","DI Ray was created by a Brit. | |
| Some Brit produced a television series.","T | |
| T","TelevisionSeries(dIRay) ∧ PoliceProcedural(dIRay) | |
| Creates(maya, dIRay) ∧ Writes(maya, dIRay) | |
| Produces(jed, dIRay) | |
| British(maya) ∧ British(jed) ","∃x (British(x) ∧ Creates(x, dIRay)) | |
| ∃x ∃y (British(x) ∧ TelevisionSeries(y) ∧ Produces(x, y))","['And(British(skolem$x13),Creates(skolem$x13,dIRay))\n├── British(maya)\n├── Creates(maya,dIRay)\n└── Equals(skolem$x13,maya)\n', 'Not found']" | |
| 281,"All bears in zoos are not wild. | |
| Some bears are in zoos. ",Not all bears are wild.,T,"∀x ((Bear(x) ∧ In(x, zoo)) → ¬Wild(x)) | |
| ∃x ∃y (Bear(x) ∧ Bear(y) ∧ In(x, zoo) ∧ In(y, zoo) ∧ ¬(x=y))",∃x (Bear(x) ∧ ¬Wild(x)),"['And(Bear(skolem$x19),Not(Wild(skolem$x19)))\n├── Bear(skolem$x16)\n├── Equals(skolem$x19,skolem$x16)\n└── Not(Wild(skolem$x16))\n ├── Bear(skolem$x16)\n └── Or(Not(Bear(skolem$x16)),Not(Wild(skolem$x16)))\n ├── In(skolem$x16,zoo)\n └── Or(Or(Not(Bear($x13)),Not(In($x13,zoo))),Not(Wild($x13)))\n']" | |
| 179,"A teenager student is either in college or in high school. | |
| John is a teenager student in college. | |
| If a teenager student in college has more freedom regarding their lifestyle, they will explore personal interests. | |
| If a teenager student is in college, they have more freedom regarding their lifestyle and have graduated from high school. | |
| Catherine does not have more freedom regarding their lifestyle. | |
| Catherine is a teenager student.","John will explore personal interests. | |
| Catherine is a teenager student in high school. | |
| Catherine has graduated from high school.","U | |
| T | |
| U","∀x (TeenagerStudent(x) → (InCollege(x) ⊕ InHighSchool(x))) | |
| TeenagerStudent(john) ∧ InCollege(john) | |
| ∀x (TeenagerStudent(x) ∧ InCollege(x) ∧ MoreFreedomRegardingLifestyle(x) → Explore(x, personalInterest)) | |
| ∀x (TeenagerStudent(x) ∧ InCollege(x) → (MoreFreedomRegardingLifestyle(x) ∧ GraduatedFromHighSchool(x))) | |
| ¬MoreFreedomRegardingLifestyle(catherine) | |
| TeenagerStudent(catherine)","Explore(john, personalInterest) | |
| TeenagerStudent(catherine) ∧ InHighSchool(catherine) | |
| GraduatedFromHighSchool(catherine)","['Not found', 'And(TeenagerStudent(catherine),InHighSchool(catherine))\n├── InHighSchool(catherine)\n│ ├── Or(InHighSchool(catherine),Not(TeenagerStudent(catherine)))\n│ │ ├── Or(Not(InCollege(catherine)),Not(TeenagerStudent(catherine)))\n│ │ │ ├── Not(MoreFreedomRegardingLifestyle(catherine))\n│ │ │ └── Or(Or(MoreFreedomRegardingLifestyle($x19),Not(InCollege($x19))),Not(TeenagerStudent($x19)))\n│ │ └── Or(Or(InCollege($x13),InHighSchool($x13)),Not(TeenagerStudent($x13)))\n│ └── TeenagerStudent(catherine)\n└── TeenagerStudent(catherine)\n', 'Not found']" | |
| 218,"Maya would only play the violin if her fingers could never be injured. | |
| Volleyball players can injure their ankles, fingers, or shoulder. | |
| Maya is a volleyball player.",Maya will not play the violin.,T,"Play(maya, violin) → ¬CanInjure(maya, fingers) | |
| ∀x (VolleyballPlayer(x) → (CanInjure(ankles) ∧ CanInjure(fingers) ∧ CanInjure(shoulder))) | |
| VolleyballPlayer(maya)","¬Play(maya, violin)",['Not found'] | |
| 83,"All vehicle registration plates in Istanbul begin with the number 34. | |
| Plates that do not begin with the number 34 are not from Istanbul. | |
| Joe's vehicle registration plate is from Istanbul. | |
| Tom's license plate begins with the number 35. | |
| If a license plate begins with the number 35, then it does not begin with the number 34.","Joe's license plate begins with the number 34. | |
| Tom's license plate is from Istanbul. ","T | |
| F","∀x (VehicleRegistrationPlateIn(x, istanbul) → BeginWith(x, num34)) | |
| ∀x (¬BeginWith(x, num34) → ¬FromIstanbul(x)) | |
| ∃x (Owns(joe, x) ∧ VehicleRegistrationPlateIn(x, istanbul)) | |
| ∃x (Owns(tom, x) ∧ BeginWith(x, num35)) | |
| ∀x (BeginWith(x, num35) → ¬BeginWith(x, num34))","∃x (Owns(joe, x) ∧ BeginWith(x, num34)) | |
| ∃x (Owns(tom, x) ∧ VehicleRegistrationPlateIn(x, istanbul))","['And(BeginWith(skolem$x118,num34),Owns(joe,skolem$x118))\n├── BeginWith(skolem$x19,num34)\n│ ├── Or(BeginWith($x13,num34),Not(VehicleRegistrationPlateIn($x13,istanbul)))\n│ └── VehicleRegistrationPlateIn(skolem$x19,istanbul)\n├── Equals(skolem$x118,skolem$x19)\n└── Owns(joe,skolem$x19)\n', 'Not found']" | |
| 133,"The Blake McFall Company Building is a building added to the National Register of Historic Places in 1990. | |
| The Emmet Building is a five-story building in Portland, Oregon. | |
| The Emmet Building was built in 1915. | |
| The Emmet Building is another name for the Blake McFall Company Building. | |
| John works at the Emmet Building.","A five-story building is built in 1915. | |
| The Blake McFall Company Building is located in Portland, Oregon. | |
| John started his current job in 1990. ","T | |
| T | |
| U","Building(blakeMcFallCompanyBuilding) ∧ AddedToIn(blakeMcFallCompanyBuilding, theNationalRegisterOfHistoricPlaces, year1990) | |
| Building(emmetBuilding) ∧ Five-Story(emmetBuilding) ∧ LocatedIn(emmetBuilding, portland) ∧ LocatedIn(portland, oregon)) | |
| BuiltIn(emmetBuilding, year1915) | |
| emmetBuiling=blakeMcFallCompanyBuilding | |
| WorkAt(john, emmetBuilding)","∃x (Building(x) ∧ Five-Story(x) ∧ ConstructedIn(x, year1915)) | |
| LocatedIn(blakeMcFallCompanyBuilding, portland) | |
| StartCurrentJobIn(john, year1990)","['Not found', 'Not found', 'Not found']" | |
| 97,"Deborah Wallace is a Scottish-born actress, playwright, and producer. | |
| Psyche is a play based on the life of James Miranda Barry. | |
| Homesick, Psyche and The Void are plays by Deborah Wallace. | |
| Deborah Wallace co-produced Gasland.","Gasland was coproduced by the same person Homesick was from. | |
| No plays by Deborah Wallace are based on the life of James Miranda Barry. | |
| Gasland is a play.","T | |
| F | |
| U","BornIn(deborahWallace, scotland) ∧ Actress(deborahWallace) ∧ Playwright(deborahWallace) ∧ Producer(deborahWallace) | |
| Play(psyche) ∧ BasedOn(psyche, lifeOfJamesMirandaBarry) | |
| Play(homesick) ∧ WrittenBy(homesick, deborahWallace) ∧ Play(psyche) ∧ WrittenBy(psyche, deborahWallace) ∧ Play(theVoid) ∧ WrittenBy(theVoid, deborahWallace) | |
| CoProduce(deborahWallace, gasland)","∃x (CoProduces(x, gasland) ∧ WrittenBy(homesick, x)) | |
| ∀x (Play(x) ∧ WrittenBy(x, deborahwallace) → ¬BasedOn(x, lifeofjamesmirandabarry)) | |
| Play(gasland)","['Not found', 'Not found', 'Not found']" | |
| 70,"Michael O'Donnell is a British physician, journalist, author, and broadcaster. | |
| One of the word-setters of My Word! was Michael O'Donnell. | |
| The magazine World Medicine was edited by Michael O'Donnell. | |
| Michael O'Donnell was born in Yorkshire as the son of a general practitioner.","The son of a general practitioner was a word-setter of My Word!. | |
| World Medicine is not a magazine. | |
| There are no British authors. | |
| There are no journalists that were born in Yorkshire. | |
| There is a son of a general practitioner that is not an author.","T | |
| F | |
| F | |
| F | |
| U","British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael) | |
| WordSetter(michael) | |
| Magazine(worldMedicine) ∧ EditedBy(worldMedicine, michael) | |
| BornIn(michael, yorkshire) ∧ ∃x(SonOf(michael, x) ∧ GeneralPractitioner(x))","∃x ∃y (SonOf(x, y) ∧ GeneralPractitioner(y) ∧ WordSetter(x)) | |
| ¬Magazine(worldmedicine) | |
| ∀x (British(x) → ¬Author(x)) | |
| ∀x (Journalist(x) → ¬BornIn(x, yorkshire)) | |
| ∃x ∃y (Son(x, y) ∧ GeneralPractitioner(y) ∧ ¬Author(x))","['Not found', 'Not found', 'And(Author(skolem$x110),British(skolem$x110))\n├── Author(michael)\n├── British(michael)\n└── Equals(skolem$x110,michael)\n', 'And(BornIn(skolem$x114,yorkshire),Journalist(skolem$x114))\n├── BornIn(michael,yorkshire)\n├── Equals(skolem$x114,michael)\n└── Journalist(michael)\n', 'Not found']" | |
| 260,"No flowers are animals. | |
| All flowers are plants.",Some plants are animals.,U,"∀x (Flower(x) → ¬Animal(x)) | |
| ∀x (Flower(x) → Plant(x))",∃x ∃y (Plant(x) ∧ Plant(y) ∧ Animal(x) ∧ Animal(y) ∧ ¬(x=y)),['Not found'] | |
| 223,"David Ha'ivri is a political strategist. | |
| If you are born in Israel to at least one Israeli parent, you receive Israeli citizenship at birth. | |
| David Ha'ivri emigrated to the United States from Israel, where he was born to Israeli parents. | |
| Several Zionist leaders have been elected to the Shomron Regional Municipal council. | |
| David Ha'ivri is a Zionist leader.","David Ha'ivri is an Israeli citizen. | |
| David Ha'ivri is a United States citizen. | |
| David Ha'ivri has been elected to the Shomron Regional Municipal council.","T | |
| U | |
| U","PoliticalStrategist(davidHaivri) | |
| ∀x ∃y (BornInIsrael(x) ∧ ParentOf(y, x) ∧ Israeli(y) → Israeli(x)) | |
| ∃x (EmigratedTo(davidHaivri, america) ∧ BornInIsrael(davidHaivri) ∧ ParentOf(davidHaivri, x) ∧ Israeli(x)) | |
| ∃x (ZionistLeader(x) ∧ ElectedTo(x, shomronMunicipalCouncil)) | |
| ZionstLeader(davidHaivri)","IsraeliCitizen(davidHaivri) | |
| American(davidHaivri) | |
| ElectedTo(davidHaivri, shomronMunicipalCouncil)","['Not found', 'Not found', 'Not found']" | |
| 52,"The Lumina APV is produced by Chevrolet. | |
| The Astro is a van produced by Chevrolet. | |
| Vehicles produced by Chevrolet in this batch are either cars or vans.","The Lumina APV is a van. | |
| The Lumina APV is either a car or a van. | |
| The Astro is a van. | |
| The Astro is a car. ","U | |
| T | |
| T | |
| F","ProducedBy(luminaAPV, chevrolet) | |
| ProducedBy(astro, chevrolet) ∧ Van(astro) | |
| ∀x (Vehicle(x) ∧ ProducedBy(x, chevrolet) ∧ InThisBatch(x) → (Car(x) ⊕ Van(x)))","Van(luminaAPV) | |
| Car(luminaAPV) ⊕ Van(luminaAPV) | |
| Van(astro) | |
| Car(astro)","['Not found', 'Not found', 'Van(astro)\n', 'Not found']" | |
| 173,"Detroit City is a horse. | |
| Some horses are racehorses. | |
| If a horse falls in a race, it poses risks to its rider. | |
| Detroit City fell in a race. | |
| A horse is a racehorse if it is in a race.","Detroit City has been in multiple races. | |
| Detroit City poses risks to its rider. | |
| Detroit City is a racehorse.","U | |
| T | |
| T","Horse(detroitcity) | |
| ∃x (Horse(x) ∧ Racehorse(x)) | |
| ∀x (Horse(x) ∧ InRace(x) ∧ Falls(x) → PoseRiskTo(x, rider)) | |
| InRace(detroitcity) ∧ Fall(detroitcity) | |
| ∀x (Horse(x) ∧ InRace(x) → Racehorse(x))","MultipleRace(detroitcity) | |
| PoseRiskTo(detroitcity, rider) | |
| Racehorse(detroitcity)","['Not found', 'Not found', 'Racehorse(detroitcity)\n├── InRace(detroitcity)\n└── Or(Not(InRace(detroitcity)),Racehorse(detroitcity))\n ├── Horse(detroitcity)\n └── Or(Or(Not(Horse($x19)),Not(InRace($x19))),Racehorse($x19))\n']" | |
| 108,"The world's only major large passenger aircraft manufacturers are Boeing and Airbus. | |
| All American Airlines planes are from the world's major large passenger aircraft manufacturers. | |
| Airbus made more revenue than Boeing last year.","An American Airlines plane is either a Boeing or Airbus plane. | |
| There exists a SpaceX commercial aircraft. | |
| There does not exist a United Airlines plane produced by Boeing. | |
| There is a commercial plane made by both Airbus and Boeing.","T | |
| U | |
| U | |
| F","∀x (WorldMajorLargePassengerAircraftManufacturer(x) → x=boeing ⊕ x=airbus) | |
| ∀x (AmericanAirlinesAircraft(x) → WorldMajorLargePassengerAircraftManufacturer(x)) | |
| MoreInRevenue(airbus, boeing)","∀x (AmericanAirlinesPlane(x) → x=boeing ⊕ x=airbus) | |
| ∃x (CommercialAircraft(x) ∧ x=spaceX) | |
| ∀x (UnitedAirlinesAircraft(x) → ¬(x=boeing)) | |
| ∃x (WorldMajorLargePassengerAircraftManufacturer(x) ∧ ProducedBy(x, airbus) ∧ ProducedBy(x, boeing))","['Not found', 'Not found', 'Not found', 'Not found']" | |
| 276,"Drishti is an open-source software. | |
| Open-source software is free to modify.",Drishti is free to modify.,T,"OpenSourceSoftware(drishti) | |
| ∀x (OpenSourceSoftware(x) → FreeToModify(x))",FreeToModify(drishti),"['FreeToModify(drishti)\n├── OpenSourceSoftware(drishti)\n└── Or(FreeToModify($x13),Not(OpenSourceSoftware($x13)))\n']" | |