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James Cocks was a Whig politician who sat in the House of Commons.
|
Whig(james) ∧ Politician(james) ∧ SatInHouseOfCommons(james)
|
A British is a European.
|
∀x (British(x) → European(x))
|
Any lawyer is familiar with laws.
|
∀x (Lawyer(x) → FamiliarWithLaws(x))
|
Some Whigs speak French.
|
∃x ∃y (Whig(x) ∧ SpeakFrench(x)) ∧ (¬(x=y)) ∧ (Whig(y) ∧ SpeakFrench(y))
|
No lawyer ever sat in the House of Commons.
|
∀x (Lawyer(x) → ¬SatInHouseOfCommons(x))
|
Some European was familiar with laws.
|
∃x (European(x) ∧ FamiliarWithLaws(x))
|
James Cocks speaks French.
|
SpeakFrench(james)
|
Beasts of Prey is a fantasy novel or a science fiction novel, or both.
|
Novel(beastsOfPrey) → (Fantasy(beastsOfPrey) ∨ ScienceFiction(beastsOfPrey))
|
Science fiction novels are not about mythological creatures
|
∀x ∀y (ScienceFiction(x) ∧ Mythological(y) ∧ Creature(y) → ¬About(x, y))
|
Beasts of Prey Is about a creature known as the Shetani.
|
About(beastsOfPrey, shetani) ∧ Creature(shetani)
|
Shetanis are mythological.
|
Mythological(shetani)
|
Beasts of prey is a fantasy novel.
|
Fantasy(beastsOfpPrey) ∧ Novel(beastsOfPrey)
|
Beasts of prey isn't a science fiction novel.
|
¬ScienceFiction(beastsofprey) ∧ Novel(beastsOfPrey)
|
A shetani is either mythological or a creature.
|
Mythological(shetani) ⊕ Creature(shetani)
|
Odell is an English surname originating in Odell, Bedfordshire.
|
Surname(nameODell) ∧ From(nameODell, oDellBedfordshire)
|
In some families, Odell is spelled O'Dell in a mistaken Irish adaptation.
|
MistakenSpellingOf(nameO'Dell, nameODell) ∧ (∃x∃y(Family(x) ∧ Named(x, nameO'Dell) ∧ (¬(x=y)) ∧ Family(y) ∧ Named(y, nameO'Dell))
|
Notable people with surnames include Amy Odell, Jack Odell, and Mats Odell.
|
Named(amyODell, nameODell) ∧ NotablePerson(amyODell) ∧ Named(jackODell, nameODell) ∧ NotablePerson(jackODell) ∧ Named(matsODell, nameODell) ∧ NotablePerson(matsODell)
|
Amy Odell is a British singer-songwriter.
|
British(amyODell) ∧ Singer(amyODell) ∧ SongWriter(amyODell)
|
Jack Odell is an English toy inventor.
|
English(jackODell) ∧ ToyInventor(jackODell)
|
Jack Odell is a notable person.
|
NotablePerson(jackODell)
|
Odell is Amy Odell's surname.
|
Named(amyODell, nameODell)
|
Amy Odell is an English toy inventor.
|
English(amyODell) ∧ ToyInventor(amyODell)
|
Amy Odell is also Amy O'Dell.
|
Named(amyODell, nameODell) ∧ Named(amyODell, nameO'Dell)
|
If you go somewhere by train, you will not lose time.
|
∀x (GoByTrain(x) → ¬LoseTime(x))
|
If you go somewhere by car and meet a traffic jam, you will lose time.
|
∀x((GoByCar(x) ∧ Meet(x, trafficJam)) → LoseTime(x))
|
If you lose time, you will be late for work.
|
∀x (LoseTime(x) → LateForWork(x))
|
Mary can get from New Haven to New York City either by train or car.
|
FromAndTo(newHaven, newYork) ∧ (GoByTrain(mary) ⊕ GoByCar(mary))
|
Mary is late for work.
|
LateForWork(mary)
|
Mary gets from New Haven to New York City by train.
|
FromAndTo(newHaven, newYork) ∧ GoByTrain(mary)
|
Mary gets from New Haven to New York City by car.
|
FromAndTo(newHaven, newYork) ∧ GoByCar(mary)
|
Mary meets a traffic jam.
|
Meet(mary, trafficJam)
|
If a person is hungry, the person is uncomfortable.
|
∀x (Hungry(x) → Uncomfortable(x))
|
If a person is uncomfortable, the person is unhappy.
|
∀x (Uncomfortable(x) → ¬Happy(x))
|
If a person is not hungry, the person is unhappy.
|
∀x (¬Hungry(x) → ¬Happy(x))
|
Tipped employees are not entitled to be paid the federal minimum wage by their employees.
|
∀x (TippedEmployee(x) → ¬EntitledTo(x, federalMinimumWage))
|
If a person is a white-collar worker, they are entitled to be paid the federal minimum wage by their employees.
|
∀x (WhiteCollarWorker(x) → EntitledTo(x, federalMinimumWage))
|
All lawyers are white-collar workers.
|
∀x (Lawyer(x) → WhiteCollarWorker(x))
|
Every advocate is a lawyer.
|
∀x (Advocate(x) → Lawyer(x))
|
Mary is not a lawyer or a tipped employee.
|
¬(Lawyer(mary) ⊕ TippedEmployee(mary))
|
Mary is a white-collar worker.
|
WhiteCollarWorker(mary)
|
Mary is an advocate.
|
Advocate(mary)
|
Mary is not an advocate.
|
¬Advocate(mary)
|
Mary is either an advocate or a tipped employee.
|
Advocate(mary) ⊕ TippedEmployee(mary)
|
If Mary is not both an advocate and is entitled to be paid the federal minimum wage by their employees, she is not a tipped employee.
|
(¬(Advocate(mary) ∧ EntitledTo(mary, federalMinimumWage))) → ¬TippedEmployee(mary)
|
If Mary is either an advocate or a tipped employee, she is an advocate.
|
(Advocate(mary) ⊕ TippedEmployee(mary)) → Advocate(mary)
|
Asa Hoffmann was born in New York City.
|
BornIn(asaHoffmann, newYorkCity)
|
Asa Hoffman lives in Manhattan.
|
LiveIn(asaHoffmann, manhattan)
|
Asa Hoffman is a chess player.
|
ChessPlayer(asaHoffmann)
|
Some chess players are grandmasters.
|
∃x ∃y (ChessPlayer(x) ∧ GrandMaster(x) ∧ (¬(x=y)) ∧ ChessPlayer(y) ∧ GrandMaster(y))
|
People born and living in New York City are New Yorkers.
|
∀x ((BornIn(x, newYorkCity) ∧ LiveIn(x, newYorkCity)) → NewYorker(x))
|
People living in Manhattan live in New York City.
|
∀x (LiveIn(x, manhattan) → LiveIn(x, newYorkCity))
|
Asa Hoffmann is a New Yorker.
|
NewYorker(asaHoffmann)
|
Asa Hoffmann is a grandmaster.
|
GrandMaster(asaHoffmann)
|
Asa Hoffmann does not live in New York.
|
¬LiveIn(asaHoffmann, newYorkCity)
|
Some of those who apply for a Schengen visa get it.
|
∃x (Apply(x, schengenVisa) → Get(x, schengenVisa))
|
To apply for a Schengen Visa, you need to provide financial guarantees.
|
∀x (Apply(x, schengenVisa) → Provide(x, financialGuarantees))
|
If you need to provide financial guarantees, you must request documents from the bank.
|
∀x (Provide(x, financialGuarantees) → Request(x, documentsFromBank))
|
Do not close your bank account if you request documents from the bank.
|
∀x (Request(x, documentsFromBank) → ¬Close(x, bankAccount))
|
Philip closed his bank account.
|
Close(philip, bankAccount)
|
Philip got a Schengen visa.
|
Get(philip, schengenVisa)
|
Philip applied for a Schengen visa and got it.
|
Apply(philip, schengenVisa) ∧ Get(philip, schengenVisa)
|
If Philip did not request documents from the bank or get a Schengen visa, he didn’t apply for a Schengen visa.
|
(¬Request(philip, documentsFromBank) ∧ ¬Get(x, schengenVisa)) → Apply(x, schengenVisa)
|
Some fears lead to anxiety.
|
∃x ∃y (Fear(x) ∧ Anxiety(y) ∧ LeadTo(x, y) ∧ ¬(x=y))
|
Some anxiety leads to terror.
|
∃x ∃y (Anxiety(x) ∧ Terror(y) ∧ LeadTo(x, y))
|
No fears lead to terror.
|
∀x ∀y (Fear(x) → ¬(Terror(y) ∧ LeadTo(x, y)))
|
The Great Lakes are Lake Superior, Lake Michigan, Lake Huron, Lake Erie, and Lake Ontario.
|
∀x (GreatLake(x) → Superior(x) ⊕ Michigan(x) ⊕ Huron(x) ⊕ Erie(x) ⊕ Ontario(x))
|
Some major settlements of Lake Erie are in NY, PA, OH, and MI.
|
∀x (Erie (x) ∧ MajorSettlement(x) → In(x, nY) ∨ In(x, pA) ∨ In(x, oH) ∨ In(x, mI))
|
NY, PA, OH, and MI are states in the US.
|
StateOf(nY, uS) ∧ StateOf(pA, uS) ∧ StateOf(oH, uS) ∧ StateOf(mI, uS)
|
ON is a state of Canada.
|
StateOf(oN, canada)
|
There is a major settlement of Lake Huron in ON.
|
∃x (Huron(x) ∧ MajorSettlement(x) ∧ In(x, oN))
|
All states are in their country.
|
∀x ∀y (StateOf(x, y) → In(x, y))
|
The US is in North America.
|
In(us, northAmerica)
|
The Great Lakes began to form at the end of the Last Glacial Period.
|
∀x (GreatLake(x) → FormAtEndOf(x, lastGlacialPeriod))
|
Lake Erie has a major settlement.
|
∃x ∃y (Erie(y) ∧ MajorSettlementOf(x, y))
|
There is a great lake that did not form at the end of the Last Glacial Period.
|
∃x (GreatLake(x) ∧ ¬FormAtEndOf(x, lastGlacialPeriod))
|
All professional soccer defenders are professional soccer players.
|
∀x ((Professional(x) ∧ Defender(x)) → (Professional(x) ∧ SoccerPlayer(x)))
|
No professional soccer players are professional basketball players.
|
∀x ((Professional(x) ∧ SoccerPlayer(x)) → ¬(Professional(x) ∧ BasketballPlayer(x)))
|
All professional centerbacks are professional soccer defenders.
|
∀x ((Professional(x) ∧ CenterBack(x)) → (Professional(x) ∧ Defender(x))
|
Stephen Curry is a professional basketball player.
|
Professional(stephenCurry) ∧ BasketballPlayer(stephenCurry)
|
Stephen Curry is a professional centerback.
|
Professional(stephenCurry) ∧ CenterBack(stephenCurry)
|
Stephen Curry is not a centerback.
|
¬(Professional(stephenCurry) ∧ CenterBack(stephenCurry))
|
Naive cynicism was proposed by Justin Kruger and a colleague.
|
Proposed(justinKruger, naiveCynicism) ∧ ∃y (colleagueOfJustinKruger(y) ∧ Proposed(y, naiveCynicism))
|
Thomas Gilovich is a colleague of Justin Kruger.
|
Colleagues(thomasGilovich, justinKruger)
|
Naive cynicism is a philosophy of mind.
|
PhilosophyOfMind(naiveCynicism)
|
Thomas Gilovich proposed naive cynicism.
|
Proposed(thomasGilovich, naiveCynicism)
|
Justin Kruger proposed a philosophy of mind.
|
∃x (Proposed(justinKruger, x) ∧ PhilosophyOfMind(x))
|
Thomas Gilovich worked on philosophies of mind.
|
∃x (WorkedOn(thomasGilovich, x) ∧ PhilosophyOfMind(x))
|
The Turing Award has been awarded to Donald Knuth, Marvin Minsky, Richard Hamming, and John McCarthy.
|
AwardedTo(turingAward, donaldKnuth) ∧ AwardedTo(turingAward, marvinMinsky) ∧ AwardedTo(turingAward, richardHamming) ∧ AwardedTo(turingAward, johnMccarthy)
|
Donald Knuth made contributions to the analysis of algorithms.
|
ContributedTo(donaldKnuth, analysisOfAlgorithms)
|
Marvin Minsky is recognized for his contributions to the field of artificial intelligence.
|
ContributedTo(marvinMinsky, artificialIntelligence)
|
Richard Hamming researched numerical methods.
|
ContributedTo(richardHamming, numericalMethods)
|
John McCarthy made contributions to the field of artificial intelligence.
|
ContributedTo(johnMccarthy, artificialIntelligence)
|
At least two people who have won the Turing Award worked in artificial intelligence.
|
∃x ∃y (¬(x=y) ∧ AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y) ∧ ContributedTo(x, artificialIntelligence) ∧ ContributedTo(y, artificialIntelligence))
|
At least two people who worked in artificial intelligence have won the Turing Award.
|
∃x ∃y (¬(x=y) ∧ ContributedTo(x, artificialIntelligence) ∧ ContributedTo(x, artificialIntelligence) ∧ AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y))
|
Only one person who won the Turing Award made significant contributions to the analysis of algorithms.
|
∃x ∀y ((AwardedTo(turingAward, x) ∧ AwardedTo(turingAward, y) ∧ ContributedTo(y, algorithms) ∧ ¬(x=y)) → ¬ContributedTo(y, algorithms))
|
No Turing Award winners worked in the field of numerical methods.
|
∀x (AwardedTo(turingAward, x) → ¬ContributedTo(x, numericalMethods))
|
None of the easy Leetcode problems have an AC rate lower than 20 percent.
|
∀x ((LeetcodeProblems(x) ∧ Easy(x)) → ¬HaveAnACRateLowerThan(x, percent20))
|
All Leetcode problems recommended to novices are easy.
|
∀x ((LeetcodeProblems(x) ∧ RecommendedTo(x, novices)) → Easy(x))
|
Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users.
|
∀x (LeetcodeProblems(x) → HaveAnACRateLowerThan(x, percent20) ⊕ StarredByMoreThan(x, num1000))
|
All hard Leetcode problems are starred by more than 1,000 users.
|
∀x ((LeetcodeProblems(x) ∧ Hard(x)) → StarredByMoreThan(x, num1000))
|
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