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No Leetcode problems published after 2022 are starred by more than 1,000 users. | ∀x ((LeetcodeProblems(x) ∧ PublishedAfter(x, yr2022)) → (¬StarredByMoreThan(x, num1000))) |
'2Sum' is not both hard and also recommended to novices. | ¬(RecommendedTo(twosum, novices) ∧ Hard(twosum)) ∧ LeetcodeProblems(twosum) |
'4Sum' is either starred by more than 1,000 users and published after 2022, or it is neither. | ¬(StarredByMoreThan(foursum, num1000) ⊕ PublishedAfter(foursum, yr2022)) ∧ LeetcodeProblems(twosum) |
2Sum is an easy Leetcode problem. | LeetcodeProblems(twosum) ∧ Easy(twosum) |
2Sum is not an easy Leetcode problem. | ¬(LeetcodeProblems(twosum) ∧ Easy(twosum)) |
4Sum is recommended to novices or is hard. | RecommendedTo(foursum, novices) ∨ Hard(foursum) |
4Sum is neither recommended to the novice nor a Leetcode problem that's hard. | ¬RecommendedTo(foursum, novices) ∧ ¬Hard(foursum) |
Show Your Love is a song recorded by the South Korean boy band BtoB 4u. | Song(showYourLove) ∧ RecordedBy(showYourLove, bToB4u) ∧ SouthKorean(bToB4u) ∧ BoyBand(bToB4u) |
The lead single of the extended play Inside is Show Your Love. | ExtendedPlay(inside) ∧ LeadSingleOf(showYourLove, inside) |
Show Your Love contains a hopeful message. | Contains(showYourLove, hopefulMessage) |
BtoB 4u member Hyunsik wrote Show Your Love. | Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showYourLove) |
There is a music video for Show Your Love. | Have(showYourLove, musicVideo) |
Show Your Love wasn't written by a member of a boy band. | ∀x ∀y (Wrote(x, showYourLove) → ¬(BoyBand(y) ∧ MemberOf(x, y))) |
A lead single of Inside contains a hopeful message. | ∃x (LeadSingleOf(x, inside) ∧ Contains(x, hopefulMessage)) |
Hyunsik is Korean. | Korean(hyunsik) |
All tables are round. | ∀x (Table(x) → Round(x)) |
Some pieces of furniture are tables. | ∃x ∃y (Furniture(x) ∧ Furniture(y) ∧ Table(x) ∧ Table(y) ∧ ¬(x=y)) |
Some pieces of furniture are round. | ∃x ∃y (Furniture(x) ∧ Furniture(y) ∧ Round(x) ∧ Round(y) ∧ ¬(x=y)) |
All juvenile delinquents have committed a crime. | ∀x (JuvenileDelinquent(x) → Commited(x, crime)) |
Some juvenile delinquents are products of broken homes. | ∃x ∃y (JuvenileDelinquent(x) ∧ JuvenileDelinquent(y) ∧ ProductOf(x, brokenHome) ∧ ProductOf(y, brokenHome) ∧ ¬(x=y)) |
Some people who have committed a crime are products of broken homes. | ∃x ∃y (Commited(x, crime) ∧ Commited(y, crime) ∧ ProductOf(x, brokenHome) ∧ ProductOf(y, brokenHome) ∧ ¬(x=y)) |
All mind-reading is either brain reading or brain decoding. | ∀x (MindReading(x) ∧ (BrainReading(x) ⊕ BrainDecoding(x))) |
All brain decoding that is mind-reading is extracting information from BOLD signals. | ∀x ((MindReading(x) ∧ BrainDecoding(x)) → ExtractingFrom(x, information, bOLDSignals)) |
No studies that are mind-reading and extract information from BOLD signals are without statistical pattern analysis. | ∀x ((MindReading(x) ∧ ExtractingFrom(x, information, bOLDSignals)) → Uses(x, statisticalPatternAnalysis)) |
Writing a novel is without statistical pattern analysis. | ∀x (NovelWriting(x) → ¬Uses(x, statisticalPatternAnalysis)) |
If multivoxel (pattern) analysis is without statistical pattern analysis and a brain reading, then multivoxel (pattern) analysis is without statistical pattern analysis and brain decoding. | MindReading(multivoxelPatternAnalysis) ∧ (¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis)) → (¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ (¬BrainDecoding(multivoxelPatternAnalysis))) |
Multivoxel (pattern) analysis is a type of mind-reading. | MindReading(multivoxelPatternAnalysis) |
Multivoxel (pattern) analysis is a brain decoding. | MindReading(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis) |
Multivoxel (pattern) analysis is the writing of a novel. | MindReading(multivoxelPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis) |
Multivoxel (pattern) analysis is without statistical pattern analysis and writing a novel. | ¬(Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis)) |
Multivoxel (pattern) analysis is without statistical pattern analysis or writing a novel. | ¬(Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∨ NovelWriting(multivoxelPatternAnalysis)) |
Multivoxel (pattern) analysis is either without statistical pattern analysis or writing a novel. | ¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ⊕ Writing(multivoxelPatternAnalysis, aNovel) |
If multivoxel (pattern) analysis is writing a novel, then multivoxel (pattern) analysis is neither without statistical pattern analysis nor writing a novel. | (MindReading(multivoxelPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis)) → (Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∨ ¬NovelWriting(multivoxelPatternAnalysis)) |
If you have room for dessert, you have room for broccoli. | ∀x (RoomFor(x, dessert) → RoomFor(x, broccoli)) |
Everyone at Luis's dinner party has room for dessert, including Luis. | ∀x (AtLuisParty(x) → RoomFor(x, dessert)) |
Mauricia does not have room for broccoli. | ¬RoomFor(mauricia, broccoli) |
Luis's dinner party is the first ever dinner party that Allison has attended. | AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison) |
Gustave has room for both broccoli and asparagus. | RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus) |
Broccoli and asparagus are both vegetables. | Vegetable(broccoli) ∧ Vegetable(asparagus) |
Allison has room for broccoli. | RoomFor(allison, broccoli) |
Mauricia is at Luis's dinner party. | AtLuisParty(mauricia) |
Gustav has room for dessert. | RoomFor(gustave, dessert) |
Imagine Dragons are an American pop-rock band. | American(imagineDragon) ∧ RockBand(imagineDragon) |
The lead singer of Imagine Dragons is Dan. | LeadSinger(imagineDragon, dan) |
Dan is also a songwriter. | SongWriter(dan) |
All lead singers are singers. | ∀x ∀y (LeadSinger(x, y) → Singer(y)) |
All singers are musicians. | ∀x (Singer(x) → Musician(x)) |
Demons is one of the most popular singles of Imagine Dragons. | PopularSingle(imagineDragon, demons) |
Some singles of Imagine Dragons have been on Billboard Hot 100. | ∃x ∃y (PopularSingle(imagineDragon, x) ∧ BillboardHot100(x)) ∧ (¬(x=y)) ∧ (PopularSingle(imagineDragon, y) ∧ BillboardHot100(y)) |
Some rock band has a lead singer who is also a songwriter. | ∃x ∃y (RockBand(x) ∧ LeadSinger(x, y) ∧ SongWriter(y)) |
Dan is not a musician. | ¬Musician(dan) |
Demons has been on Billboard Hot 100. | BillboardHot100(demons) |
All philosophers reason. | ∀x (Philosopher(x) → Reason(x)) |
Some sophists reason. | ∃x (Sophist(x) ∧ Reason(x)) |
All who can reason can distinguish truth from falsehood. | ∀x (Reason(x) → CanDistinguishFrom(x, truth, falsehood)) |
Nobody who can distinguish truth from falsehood is morally perfect. | ∀x (CanDistinguishFrom(x, truth, falsehood) → ¬MorallyPerfect(x)) |
The theistic God is morally perfect. | MorallyPerfect(theisticGod) |
The theistic God is a sophist. | Sophist(theisticGod) |
The theistic God is a sophist and a philosopher. | Sophist(theisticGod) ∧ Philosopher(theisticGod) |
if the theistic God is a philosopher, then he is not a sophist. | Philosopher(theisticGod) → ¬Sophist(theisticGod) |
Common utilities include water, electricity, gas, heating, sewer, trash, and recycling. | CommonUtilities(water) ∧ CommonUtilities(electricity) ∧ CommonUtilities(gas) ∧ CommonUtilities(heating) |
Many apartment rents cover the cost of water and electricity. | ∃x (Apartment(x) ∧ Cover(x, water) ∧ Cover(x, electricity)) |
Susan lives in an apartment where the rent covers all utilities. | ∀x (Apartment(x) ∧ LiveIn(susan, x) ∧ Cover(x, water) ∧ Cover(x, electricity) ∧ Cover(x, gas) ∧ Cover(x, heating)) |
The rent of the apartment where Ava lives does not cover any utility expenses. | ∀x (Apartment(x) ∧ LiveIn(ava, x) ∧ ¬Cover(x, water) ∧ ¬Cover(x, electricity) ∧ ¬Cover(x, gas) ∧ ¬Cover(x, heating)) |
Noah lives in an apartment where the rent does not cover heating. | ∀x (Apartment(x) ∧ LiveIn(noah, x) ∧ ¬Cover(x, heating)) |
Noah needs to pay the water bill. | ∀x (Apartment(x) ∧ LiveIn(noah, x) ∧ ¬Cover(x, water)) |
Noah and Ava both need to pay the heating bill. | ¬Cover(noah, heating) ∧ ¬Cover(ava, heating) |
Susan does not need to pay the water bill. | ∀x (Apartment(x) ∧ LiveIn(susan, x) ∧ Cover(x, water)) |
All clothes are products. | ∀x (Clothes(x) → Product(x)) |
No products are perfect. | ∀x (Product(x) → ¬Perfect(x)) |
All dresses are clothes. | ∀x (Dress(x) → Clothes(x)) |
All skirts are dresses. | ∀x (Skirt(x) → Dress(x)) |
If the fabric bundle is a piece of clothing, then the fabric bundle is a perfect dress. | Clothes(fabricBundle) → Perfect(fabricBundle) ∧ Dress(fabricBundle) |
The fabric bundle is perfect. | Perfect(fabricbundle) |
The fabric bundle is a skirt. | Skirt(fabricbundle) |
The fabric bundle is not a skirt. | ¬Skirt(fabricbundle) |
All pets are animals. | ∀x (Pet(x) → Animal(x)) |
Pets can be either a dog or a cat. | ∀x (Pet(x) → (Dog(x) ⊕ Cat(x))) |
If a person has a pet, they care for that pet. | ∀x ∀y ((Pet(y) ∧ OwnedBy(x,y)) → Cares(x, y)) |
Dogs and cats can be naughty. | ∃x ∃y (Cat(x) ∧ Naughty(x) ∧ (¬(x=y)) ∧ Dog(y) ∧ Naughty(y)) |
Pets who are naughty are not liked as much. | ∀x ∀y ((Pet(x) ∧ Naughty(x) ∧ OwnedBy(x,y)) → ¬Liked(x, y)) |
Charlie has a naughty pet dog named Leo. | OwnedBy(leo, charlie) ∧ Pet(leo) ∧ Dog(leo) ∧ Naughty(leo) |
Leo is an animal. | Animal(leo) |
Charlie does not like Leo and does not care for Leo. | ¬Liked(leo, charlie) ∧ ¬Cares(charlie, leo) |
Dogs are not always naughty. | ∀x (Dog(x) → ¬Naughty(x)) |
Surprises are either fun or dreadful. | ∀x (Surprise(x) → (Fun(x) ⊕ Dreadful(x))) |
All scares are surprises. | ∀x (Scare(x) → Surprise(x)) |
All scares are fun. | ∀x (Scare(x) → Fun(x)) |
All books written by Cixin Liu have sold more than 1 million copies. | ∀x ((Book(x) ∧ WrittenBy(x, cixinLiu)) → ∃y(MoreThan(y, oneMillion) ∧ Sold(x,y))) |
Some books that have won the Hugo Award were written by Cixin Liu. | ∃x (Won(x, hugoAward) ∧ Book(x) ∧ WrittenBy(x, cixinLiu)) |
All books about the future are forward-looking. | ∀x ((Book(x) ∧ AboutFuture(x)) → FowardLooking(x)) |
The book Three-Body Problem has sold more than 1 million copies. | Book(threeBodyProblem) ∧ ∃y(MoreThan(y, oneMillion) ∧ Sold(threeBodyProblem,y)) |
The Three-Body Problem is about the future. | AboutFuture(threeBodyProblem) |
The Three-Body Problem won the Hugo Award. | Won(threeBodyProblem, hugoAward) |
The Three-Body Problem is forward-looking. | AboutFuture(threeBodyProblem) |
The Three-Body Problem was written by Cixin Liu. | WrittenBy(threeBodyProblem, cixinLiu) |
Some people are both late-night and early-morning people. | ∃x (LateNightPerson(x) ∧ EarlyMorningPerson(x)) |
If a person is an earl- morning person, they have early-morning habits. | ∀x (EarlyMorningPerson(x) → Have(x, earlyMorningHabit)) |
Everyone who has early-morning habits gets up early. | ∀x (Have(x, earlyMorningHabit) → GetUpEarly(x)) |
Everyone who gets up early catches the sunrise. | ∀x (GetUpEarly(x) → CatchTheSunrise(x)) |