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Matt likes financial risks.
|
Like(matt, financialRisk)
|
Matt reads the Wall Street Journal and other newspapers regularly to keep updated on financial metrics.
|
Newspapers(matt)
|
If Matt is either both a person who is at risk of a gambling addiction and invests in the public stock market regularly, or neither is at risk of a gambling addiction nor invests in the public stock market regularly, then Matt neither visits the Las Vegas Strip regularly nor reads the Wall Street Journal and other newspapers regularly to keep updated on the financial metrics.
|
AtRiskOf(matt, gamblingAddiction) ⊕ InvestInRegularly(matt, publicStockMarket) → ¬EnjoyVisiting(matt, theLasVegasStrip) ∧ ¬(ReadToKeepUpdatedOn(matt, theWallStreetJournal, financialMetric) ∨ (∃y (¬(y=theWallStreetJournal) ∧ NewsPaper(y) ∧ ReadToKeepUpdatedOn(matt, y, financialMetric))))
|
Matt is not at risk of a gambling addiction and Mike does not both read the Wall Street Journal and other newspapers regularly and visits the Las Vegas Strip regularly.
|
¬AtRiskOf(matt, gamblingAddiction) ∧ ¬(ReadToKeepUpdatedOn(x, theWallStreetJournal, financialMetric) ∨ (∃y (¬(y=theWallStreetJournal) ∧ NewsPaper(y) ∧ ReadToKeepUpdatedOn(x, y, financialMetric))) ∧ EnjoyVisiting(matt, theLasVegasStrip))
|
All students learning piano can strike the right notes.
|
∀x (Student(x) ∧ LearningPiano(x) → Can(x, strike, rightNote))
|
All students who can strike the right note can get the rhythms right.
|
∀x (Student(x) ∧ Can(x, strike, rightNote) → Can(x, getTheRhythmRight))
|
If a student can get the rhythms right, he will start working on coordination between the left and the right hands.
|
∀x (Student(x) ∧ Can(x, getTheRhythmRight) → Start(x, workingOnCoordinationBetweenTheLeftAndRightHands))
|
Some students who start working on coordination between the left and the right hands become good at it, while other students find it challenging.
|
∀x (Student(x) ∧ Start(x, workingOnCoordinationBetweenTheLeftAndRightHands) → Become(x, goodAtCoordination) ⊕ Find(x, coordinationChallenging))
|
If John can strike the right notes, get the rhythms right, and is good at coordination between right and left hands, then he puts emotions into his playing.
|
(Can(john, getTheRhythmRight) ∧ Can(john, getTheRhythmRight)) ∧ Become(john, goodAtCoordination) → PutEmotionInto(john, hisPlaying)
|
John is a student learning piano.
|
Student(john) ∧ LearningPiano(john)
|
John does not find coordination between the left and the right hands challenging.
|
¬Find(john, coordinationChallenging)
|
John can get the rhythms right.
|
Can(john, getTheRhythmRight)
|
John does not put emotions into his playing.
|
PutEmotionInto(john, hisPlaying)
|
Barbara Ann Marshall is a former swimmer and former world record-holder.
|
FormerSwimmer(barbaraAnnMarshall) ∧ FormerWorldRecordHolder(barbaraAnnMarshall)
|
Barbara Ann Marshall participated in the 1972 Summer Olympics.
|
ParticipatedIn(barbaraAnnMarshall, 1972SummerOlympics)
|
Barbara Ann Marshall's home country is the United States.
|
HomeCountry(barbaraAnnMarshall, unitedStates)
|
All people who competed in the 1972 Summer Olympics represented their home country.
|
∀x ∃y (ParticipatedIn(x, 1972SummerOlympics) ∧ HomeCountry(x, y) → Represented(x, y))
|
Barbara Ann Marshall participated in the preliminary heat in the freestyle relay.
|
ParticipatedIn(barbaraAnnMarshall, preliminaryHeatFreestyleRelay)
|
Barbara Ann Marshall did not participate in the event final of the 1972 Summer Olympics freestyle relay.
|
¬ParticipatedIn(barbaraAnnMarshall, finalHeatFreestyleRelay)
|
Only relay swimmers who participated in the final event at the 1972 Summer Olympics received medals.
|
∀x ((ParticipatedIn(x, 1972SummerOlympics) ∧ RelaySwimmer(x) ∧ ¬ParticipatedIn(x, finalHeatFreestyleRelay)) ↔ ¬Recieved(x, medal)))
|
Barbara Ann Marshall did not receive medals.
|
¬Recieved(barbaraAnnMarshall, medal)
|
Barbara Ann Marshall represented the United States in the 1972 Summer Olympics.
|
Represented(barbaraAnnMarshall, unitedStates)
|
A game is played with three stages: red stage, yellow stage, and green stage.
|
∃x ∃y ∃y ∃w (Game(x) ∧ StageNumber(x,3) ∧ Stage(y) ∧ Stage(z) ∧ Stage(w) ∧ ¬(y=z) ∧ ¬(z=w) ∧ ¬(y=w) ∧ Red(y) ∧ Yellow(z) ∧ Green(w))
|
Each player begins at the red stage.
|
∀x (Player(x) → StartRed(x))
|
All players must reach the yellow stage before they can reach the green stage.
|
∀x (Player(x) ∧ ¬ReachYellow(x) → ¬ReachGreen(x))
|
The yellow stage comes after the red stage.
|
∀x (Player(x) ∧ StartRed(x) → ReachYellow(x))
|
All players must proceed one stage at a time.
|
∀x (Player(x) ∧ StartRed(x) ∧ ¬ReachYellow(x) → ¬ReachGreen(x))
|
It is possible to move to the green stage without ever reaching the yellow stage.
|
∃x (Player(x) ∧ RedToGreen(x))
|
It is possible to reach the yellow stage without ever reaching the green stage.
|
∃x (Player(x) ∧ RedToYellow(x))
|
It is possible to complete the game without ever reaching the green stage.
|
∃x (Player(x) ∧ CompleteGame(x))
|
In Love City, everyone considers physical touch or words of affirmation to be their most important love language.
|
∀x (In(x, loveCity) → (ConsidersMostImportantLoveLanguage(x, physicalTouch) ∨ ConsidersMostImportantLoveLanguage(x, wordOfAffirmation))
|
If someone in Love City considers physical touch as their most important love language, then they are good with pets.
|
∀x ((ConsidersMostImportantLoveLanguage(x, physicalTouch) ∧ In(x, loveCity) → GoodWith(x, pet))
|
If someone in Love City is good with pets, then they are not scared of animals.
|
∀x ((GoodWith(x, pet) ∧ In(x, loveCity)) → ¬ScaredOf(x, animal))
|
In Love City, everyone is scared of animals, or loves animals, or both.
|
∀x (In(x, loveCity) → (ScaredOf(x, animal) ∨ Loves(x, animal)))
|
Adam, who is in Love City, either values physical touch as his most important love language or loves animals.
|
(ConsidersMostImportantLoveLanguage(adam, physicalTouch) ⊕ Loves(adam, animal)) ∧ In(adam, loveCity)
|
Adam is scared of animals.
|
ScaredOf(adam, animal)
|
Adam considers words of affirmation to be the most important love language.
|
ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation)
|
Adam considers physical touch as the most important love language and considers words of affirmation as the most important love language.
|
ConsidersMostImportantLoveLanguage(adam, physicalTouch) ∧ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation)
|
Adam either values physical touch as an especially important love language or values words of affirmation as an especially important love language.
|
ConsidersMostImportantLoveLanguage(adam, physicalTouch) ⊕ ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation)
|
If Adam values physical touch as an especially important love language or is good with pets, then Adam values words of affirmation as an especially important love language.
|
(ConsidersMostImportantLoveLanguage(adam, physicalTouch, mostImportantLoveLanguage) ∨ GoodWith(x, pet)) → ConsidersMostImportantLoveLanguage(adam, wordOfAffirmation)
|
All birds have wings.
|
∀x (Bird(x) → ∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z)))
|
Animals with wings aren't reptiles.
|
∀x (Animal(x) ∧ (∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z))) → ¬Reptile(x))
|
Some animals that fly are birds.
|
∃x (Animal(x) ∧ Fly(x) ∧ Bird(x))
|
If something is an iguana, then it is a reptile. Simeng: All iguanas are reptiles.
|
∀x (Iguana(x) → Reptile(x))
|
John is either both an iguana and a bird, or he is neither.
|
¬(Iguana(john) ⊕ Bird(john))
|
John is an animal.
|
Animal(john)
|
John is a reptile.
|
Reptile(john)
|
John is not both an iguana and an animal that can fly.
|
¬(Iguana(john) ∧ Fly(john))
|
John is an animal that can fly and John is a bird.
|
Animal(john) ∧ Fly(john) ∧ Bird(john)
|
EndGame is a movie released in 2006.
|
Movie(endGame) ∧ Released(endGame, yr2006)
|
EndGame was set in Washington.
|
SetIn(endGame, washington)
|
EndGame was filmed outside of Washington.
|
¬(FilmedIn(endGame, washington))
|
Some movies are filmed in New York.
|
∃x∃y(FilmedIn(x, newYork) ∧ (¬(x=y)) ∧ FilmedIn(y, newYork))
|
Andy Chang directed EndGame.
|
Directed(andyChang, endGame)
|
Andy Chang is from Hong Kong.
|
From(andyChang, hongKong)
|
EndGame was filmed in New York.
|
FilmedIn(endGame, newYork)
|
EndGame was not directed by someone from Hong Kong.
|
∀x (¬(Directed(x, endGame) ∧ From(x, hongKong)))
|
All of Andy Chang's movies are filmed outside of Washington.
|
∀x (Directed(andyChang, x) → ¬(FilmedIn(x, washington)))
|
Six, seven and eight are real numbers.
|
RealNum(num6) ∧ RealNum(num7) ∧ RealNum(num8)
|
If a real number equals another real number added by one, the first number is larger.
|
∀x ∀y ((RealNum(x) ∧ RealNum(y) ∧ IsSuccessorOf(x, y)) → Larger(x, y))
|
If the number x is larger than the number y, then y is not larger than x.
|
∀x ∀y (Larger(x, y) → ¬Larger(y, x))
|
Seven equals six plus one.
|
∃y(IsSuccessorOf(y, num6) ∧ Equals(num7, y))
|
Eight equals seven plus one.
|
∃y(IsSuccessorOf(y, num7) ∧ Equals(num8, y))
|
Two is positive.
|
Positive(num2)
|
If a number is positive, then the double of it is also positive.
|
∀x ∀y ((Positive(x) ∧ IsDouble(y, x)) → Positive(y))
|
Eight is the double of four.
|
IsDouble(num8, num4)
|
Four is the double of two.
|
IsDouble(num4, num2)
|
Eight is larger than seven.
|
Larger(eight, seven)
|
Eight is positive.
|
Positive(eight)
|
Six is larger than seven.
|
Larger(six, seven)
|
All dogs sleep.
|
∀x (Dog(x) → Sleep(x))
|
Some four-legged animals are dogs.
|
∃x ∃y (FourLegged(x) ∧ Animal(x) ∧ Dog(x) ∧ FourLegged(y) ∧ Animal(y) ∧ Dog(y) ∧ ¬(x=y))
|
Some four-legged animals sleep.
|
∃x ∃y (FourLegged(x) ∧ Animal(x) ∧ Sleeps(x) ∧ FourLegged(y) ∧ Animal(y) ∧ Sleeps(y) ∧ ¬(x=y))
|
Everyone who is entitled to national social insurance coverage can have their medical bills partially covered.
|
∀x (EntitledTo(x, nationalSocialInsuranceCoverage) → CanHavePartiallyCovered(x, medicalBills))
|
All PRC nationals are entitled to national social insurance coverage.
|
∀x (PRCNational(x) → EntitledTo(x, nationalSocialInsuranceCoverage))
|
Everyone in the Franco-China diplomatic conference is either a PRC national or a French national, but not both.
|
∀x (In(x, franco-ChinaDiplomaticConference) → PRCNational(x) ⊕ FrenchNational(x))
|
All French nationals are citizens of the European Union.
|
∀x (FrenchNational(x) → CitizenOf(x, europeanUnion))
|
All Spanish nationals are citizens of the European Union.
|
∀x (SpanishNational(x) → CitizenOf(x, europeanUnion))
|
No North Korean nationals are citizens of the European Union.
|
∀x (NorthKoreanNational(x) → ¬CitizenOf(x, europeanUnion))
|
Mei is at the Franco-China diplomatic conference.
|
In(mei, franco-ChinaDiplomaticConference)
|
Either Mei is a North Korean and can have medical bills partially covered, or neither is true.
|
¬(NorthKoreanNational(mei) ⊕ CanHavePartiallyCovered(mei, medicalBills))
|
Mei is a PRC national.
|
PRCNational(mei)
|
Mei is not a PRC national.
|
¬PRCNational(mei)
|
If Mei is either a North Korean or a Spanish national, then Mei is either both a French national and a citizen of the European Union, or neither a French national nor a citizen of the European Union.
|
NorthKoreanNational(mei) ⊕ SpanishNational(mei) → ¬(FrenchNational(mei) ⊕ European(mei))
|
No people who do not admit a mistake are good teachers.
|
∀x (¬Admit(x, mistake) → ¬GoodTeacher(x))
|
Some well-informed people are people who do not admit a mistake.
|
∃x ∃y (WellInformed(x) ∧ WellInformed(y) ∧ ¬Admit(x, mistake) ∧ ¬Admit(y, mistake) ∧ ¬(x=y))
|
Some good teachers are not well-informed people.
|
∃x ∃y (GoodTeacher(x) ∧ GoodTeacher(y) ∧ ¬WellInformed(x) ∧ ¬WellInformed(y) ∧ ¬(x=y))
|
Philatelic literature is divided into the following categories: Stamp catalogs, Periodicals, Auction catalogs, Books, Bibliographies, and Background Material.
|
∀x (PhilatelicLit(x) → (Stamp(x) ∨ Periodical(x) ∨ Auction(x) ∨ Book(x) ∨ Bibliography(x) ∨ Background(x)))
|
Mort is not a Stamp catalog.
|
¬Stamp(mort)
|
Mort is not a periodical, auction catalog, bibliography, or background material.
|
¬(Periodical(mort) ∨ Auction(mort) ∨ Bibliography(mort) ∨ Background(mort))
|
Mort is a piece of Philatelic literature.
|
PhilatelicLit(mort)
|
Mort is background material.
|
Background(mort)
|
Eragon is a piece of Philatelic literature.
|
PhilatelicLit(eragon)
|
Adventures of Rusty is a drama film and children's film.
|
DramaFilm(adventuresOfRusty) ∧ ChildrensFilm(adventuresOfRusty)
|
Columbia Pictures produced Adventures of Rusty.
|
Produces(columbiaPictures, adventuresOfRusty)
|
Tintin was produced by Paramount.
|
Produces(paramount, tintin)
|
Tintin is an adventure film.
|
AdventureFilm(tintin)
|
Columbia pictures produced some drama film.
|
∃x (DramaFilm(x) ∧ Produces(columbiaPictures, x))
|
Columbia pictures produced some adventure film.
|
∃x (AdventureFilm(x) ∧ Produces(columbiaPictures, x))
|
Paramount produces children's films.
|
∃x (ChildrensFilm(x) ∧ Produces(paramount, x))
|
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