story_id,Premises - NL,Conclusions - NL,Truth Values,Premises - FOL,Conclusions - FOL,Proofs 338,"No iPhones are standalone desktops. All Apple-made cellphones are iPhones. All phones with A15 Bionic chips are Apple-made cell phones. All phones equipped with four core-GPU made by Apple are phones with A15 Bionic chips. If an unannounced Huawei phone is either a phone with A15 Bionic chips or equipped with four core-GPU made by Apple, then unannounced Huawei phone is neither a phone with A15 Bionic chips nor a standalone desktop.","Joe is a person taking classes. Joe is a PhD student. Joe is not a PhD student. ","U F T","∀x (IPhone(x) → ¬StandaloneDesktop(x)) ∀x (AppleMade(x) ∧ Cellphone(x) → IPhone(x)) ∀x (Phone(x) ∧ With(x, a15BionicChip) → AppleMade(x) ∧ Cellphone(x)) ∀x (Phone(x) ∧ EquippedWith(x, fourCoreGPU) ∧ MadeBy(x, apple) → Phone(x) ∧ With(x, a15BionicChip)) (Phone(unannouncedHuaweiPhone) ∧ With(unannouncedHuaweiPhone, a15BionicChip)) ⊕ (Phone(unannouncedHuaweiPhone) ∧ EquippedWith(unannouncedHuaweiPhone, fourCoreGPU) ∧ MadeBy(unannouncedHuaweiPhone, apple)) → ¬(Phone(unannouncedHuaweiPhone) ∧ With(unannouncedHuaweiPhone, a15BionicChip) ∧ StandaloneDesktop(unannouncedHuaweiPhone))","AppleMade(unannouncedHuaweiPhone) ∧ Cellphone(unannouncedHuaweiPhone) Phone(unannouncedHuaweiPhone) ∧ EquippedWith(unannouncedHuaweiPhone, fourCoreGPU) ∧ MadeByApple(unannouncedHuaweiPhone) ¬(Phone(unannouncedHuaweiPhone) ∧ EquippedWith(unannouncedHuaweiPhone, fourCoreGPU) ∧ MadeByApple(unannouncedHuaweiPhone))","['Not found', 'Not found', 'Not found']" 470,"A Unix operating system used in the lab computers is a piece of software. All versions of MacOS used in the lab computer are based on Unix operating systems. A lab computer uses either MacOS or Linux. All Linux computers in the lab are convenient. All software used in the lab computers is written with code. If something is convenient in the lab computer, then it is popular. Burger is used in the lab computer, and it is written with code and a new version of MacOS. PyTorch is used in the lab computer, and PyTorch is neither a Linux system nor a piece of software.","Burger is popular. Burger is not popular. PyTorch is popular and written with code. PyTorch is not popular and it is not written with code.","U U T F","∀x (UsedIn(x, labComputer) ∧ UnixOperatingSystem(x) → Software(x)) ∀x (UsedIn(x, labComputer) ∧ MacOS(x) → UnixOperatingSystem(x)) ∀x (UsedIn(x, labComputer) → MacOS(x) ⊕ Linux(x)) ∀x (UsedIn(x, labComputer) ∧ Linux(x) → Convenient(x)) ∀x (UsedIn(x, labComputer) ∧ Software(x) → WrittenWithCode(x)) ∀x (UsedIn(x, labComputer) ∧ Convenient(x) → Popular(x)) UsedIn(burger, labComputer) ∧ WrittenWithCode(burger) ∧ MacOS(burger)) UsedIn(pytorch, labComputer) ∧ ¬(Linux(pytorch) ⊕ Software(pytorch))","Popular(burger) ¬Popular(burger) Popular(pytorch) ∧ WrittenWithCode(pytorch) ¬(Popular(pytorch) ∧ WrittenWithCode(pytorch))","['Not found', 'Not found', 'And(Popular(pytorch),WrittenWithCode(pytorch))\n├── Popular(pytorch)\n│ ├── Or(Not(UsedIn(pytorch,labComputer)),Popular(pytorch))\n│ │ ├── Or(Linux(pytorch),Not(UsedIn(pytorch,labComputer)))\n│ │ │ ├── Or(Or(Linux($x19),MacOS($x19)),Not(UsedIn($x19,labComputer)))\n│ │ │ └── Or(Or(Linux(pytorch),Not(MacOS(pytorch))),Not(UsedIn(pytorch,labComputer)))\n│ │ │ ├── Or(Or(Linux(pytorch),Not(UnixOperatingSystem(pytorch))),Not(UsedIn(pytorch,labComputer)))\n│ │ │ │ ├── Or(Linux(pytorch),Not(Software(pytorch)))\n│ │ │ │ └── Or(Or(Not(UnixOperatingSystem($x13)),Not(UsedIn($x13,labComputer))),Software($x13))\n│ │ │ └── Or(Or(Not(MacOS($x16)),Not(UsedIn($x16,labComputer))),UnixOperatingSystem($x16))\n│ │ └── Or(Or(Not(Linux($x118)),Not(UsedIn($x118,labComputer))),Popular($x118))\n│ │ ├── Or(Or(Convenient($x112),Not(Linux($x112))),Not(UsedIn($x112,labComputer)))\n│ │ └── Or(Or(Not(Convenient($x118)),Not(UsedIn($x118,labComputer))),Popular($x118))\n│ └── UsedIn(pytorch,labComputer)\n└── WrittenWithCode(pytorch)\n ├── Or(Not(UsedIn(pytorch,labComputer)),WrittenWithCode(pytorch))\n │ ├── Or(Not(UsedIn(pytorch,labComputer)),Software(pytorch))\n │ │ ├── Or(Or(Not(UnixOperatingSystem($x13)),Not(UsedIn($x13,labComputer))),Software($x13))\n │ │ └── Or(Or(Not(UsedIn(pytorch,labComputer)),Software(pytorch)),UnixOperatingSystem(pytorch))\n │ │ ├── Or(Or(MacOS(pytorch),Not(UsedIn(pytorch,labComputer))),Software(pytorch))\n │ │ │ ├── Or(Not(Linux(pytorch)),Software(pytorch))\n │ │ │ └── Or(Or(Linux($x19),MacOS($x19)),Not(UsedIn($x19,labComputer)))\n │ │ └── Or(Or(Not(MacOS($x16)),Not(UsedIn($x16,labComputer))),UnixOperatingSystem($x16))\n │ └── Or(Or(Not(Software($x115)),Not(UsedIn($x115,labComputer))),WrittenWithCode($x115))\n └── UsedIn(pytorch,labComputer)\n', 'And(Popular(pytorch),WrittenWithCode(pytorch))\n├── Popular(pytorch)\n│ ├── Or(Not(UsedIn(pytorch,labComputer)),Popular(pytorch))\n│ │ ├── Or(Linux(pytorch),Not(UsedIn(pytorch,labComputer)))\n│ │ │ ├── Or(Or(Linux($x19),MacOS($x19)),Not(UsedIn($x19,labComputer)))\n│ │ │ └── Or(Or(Linux(pytorch),Not(MacOS(pytorch))),Not(UsedIn(pytorch,labComputer)))\n│ │ │ ├── Or(Or(Linux(pytorch),Not(UnixOperatingSystem(pytorch))),Not(UsedIn(pytorch,labComputer)))\n│ │ │ │ ├── Or(Linux(pytorch),Not(Software(pytorch)))\n│ │ │ │ └── Or(Or(Not(UnixOperatingSystem($x13)),Not(UsedIn($x13,labComputer))),Software($x13))\n│ │ │ └── Or(Or(Not(MacOS($x16)),Not(UsedIn($x16,labComputer))),UnixOperatingSystem($x16))\n│ │ └── Or(Or(Not(Linux($x118)),Not(UsedIn($x118,labComputer))),Popular($x118))\n│ │ ├── Or(Or(Convenient($x112),Not(Linux($x112))),Not(UsedIn($x112,labComputer)))\n│ │ └── Or(Or(Not(Convenient($x118)),Not(UsedIn($x118,labComputer))),Popular($x118))\n│ └── UsedIn(pytorch,labComputer)\n└── WrittenWithCode(pytorch)\n ├── Or(Not(UsedIn(pytorch,labComputer)),WrittenWithCode(pytorch))\n │ ├── Or(Not(UsedIn(pytorch,labComputer)),Software(pytorch))\n │ │ ├── Or(Or(Not(UnixOperatingSystem($x13)),Not(UsedIn($x13,labComputer))),Software($x13))\n │ │ └── Or(Or(Not(UsedIn(pytorch,labComputer)),Software(pytorch)),UnixOperatingSystem(pytorch))\n │ │ ├── Or(Or(MacOS(pytorch),Not(UsedIn(pytorch,labComputer))),Software(pytorch))\n │ │ │ ├── Or(Not(Linux(pytorch)),Software(pytorch))\n │ │ │ └── Or(Or(Linux($x19),MacOS($x19)),Not(UsedIn($x19,labComputer)))\n │ │ └── Or(Or(Not(MacOS($x16)),Not(UsedIn($x16,labComputer))),UnixOperatingSystem($x16))\n │ └── Or(Or(Not(Software($x115)),Not(UsedIn($x115,labComputer))),WrittenWithCode($x115))\n └── UsedIn(pytorch,labComputer)\n']" 430,"Hermès bags are not made in Italy. All Birkin bags are Hermès bags. All Ferraris are made in Italy. All cars that carry a Ferrari V12 engine are Ferraris. All cars that are made in Maranello carry a Ferrari V12 engine. A Lamborghini SUV is not both a Ferrari and made in Maranello. A Kelly bag is a Hermès bag, or it is a car that carries a Ferrari V12 engine. ","A Lamborghini SUV is made in Italy. A Lamborghini SUV is not made in Italy. A Kelly bag is a Birkin bag made in Maranello. A Kelly bag is not both made in Maranello and a Birkin bag.","U U F T","∀x ((Bag(x) ∧ Hermès(x)) → ¬MadeIn(x, italy)) ∀x ((Bag(x) ∧ Birkin(x)) → Hermès(x)) ∀x (Ferrari(x) → MadeIn(x, italy)) ∀x ((Car(x) ∧ Carry(x, ferrariV12Engine)) → Ferrrari(x)) ∀x ((Car(x) ∧ MadeIn(x, maranello)) → Carry(x, ferrariV12Engine)) ¬(Ferrari(lamborghiniSUV) ∧ MadeIn(lamborghiniSUV, maranello)) (Bag(kelly) ∧ Hermès(kelly)) ∨ (Bag(kelly) ∧ Car(kelly) ∧ Carry(kelly, ferrariV12Engine))","MadeIn(lamborghiniSUV, italy) ¬MadeIn(lamborghiniSUV, italy) Bag(kelly) ∧ MadeIn(kelly, maranello) ∧ Birkin(kelly) Bag(kelly) ∧ ¬(MadeIn(kelly, maranello) ∧ Birkin(kelly))","['Not found', 'Not found', 'Not found', 'Not found']" 391,"All imaginative processes that Dan knows are results of creative processes. All science fiction that Dan knows comes from an imaginative process. Everthing that Dan knows comes from either science-fiction or realistic fiction. No facts that Dan knows have proven to be false. Dan knows that Dune is science fiction or has proven to be false.","Dune is realistic fiction. Dune is a result of creative and imaginative process. Dune is either a result of creative processes or came from an imaginative process. Dune is a result of creative processes and is science fiction. Dune is either a result of creative processes or is science fiction. If Dune is a result of creative and imaginative processes, then Dune is not a result of creative processes and science-fiction. If Dune is either a fact and a result of creative processes, or neither a fact nor a result of creative processes, then Dune is a result of creative processes and science-fiction. If Dune is science-fiction, then Dune is not a result of creative processes and science-fiction. If Dune is not a result of creative processes and science-fiction, then Dune neither came from an imaginative process nor proved to be false. If Dune is did not come from imaginative process and is not science-fiction, then Dune is neither a result of creative processes nor came from an imaginative process.","U T F T F F T F T T","∀x ((Knows(dan, x) ∧ ImaginativeProcess(x)) → ResultOf(x, creativeProcess)) ∀x ((Knows(dan, x) ∧ ScienceFiction(x)) → ImaginativeProcess(x)) ∀x (Knows(dan, x) → (ScienceFiction(x) ⊕ RealisticFiction(x))) ∀x ((Knows(dan, x) ∧ Fact(x)) → ¬ProvedToBe(x, false)) (Knows(dan, dune) ∧ ScienceFiction(dune)) ∨ ProvedToBe(dune, false))","RealisticFiction(dune) ResultOf(dune, creativeProcess) ∧ ImaginativeProcess(dune) ResultOf(dune, creativeProcess) ⊕ ImaginativeProcess(dune) ResultOf(dune, creativeProcess) ∧ ScienceFiction(dune)) Knows(dan, dune) ∧ (ResultOf(dune, creativeProcess) ⊕ ScienceFiction(dune)) (ResultOf(dune, creativeProcess) ∧ ImaginativeProcess(dune)) → (¬ResultOf(dune, creativeProcess) ∧ ¬ScienceFiction(dune)) Knows(dan, dune) ∧ (¬(Fact(dune) ⊕ ResultOf(dune, creativeProcess))) → (ResultOf(dune, creativeProcess) ∧ ScienceFiction(dune)) Knows(dan, dune) ∧ (ScienceFiction(dune)) → (¬(ResultOf(dune, creativeProcess) ∧ ScienceFiction(dune))) Knows(dan, dune) ∧ (¬(ResultOf(dune, creativeProcess) ∧ ScienceFiction(dune))) → (¬(ImaginativeProcess(dune) ∨ ProvedToBe(dune, false))) Knows(dan, dune) ∧ (¬(ImaginativeProcess(dune) ∧ ScienceFiction(dune))) → (¬(ResultOf(dune, creativeProcess) ∨ ImaginativeProcess(dune)))","['Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 356,"If people work well in teams in the workplace, then they get along with all their colleagues at their work. If people come to work every day with a positive attitude, then they work well in teams in the workplace. People either come to work every day with a positive attitude or are always tired every morning. If people are always tired in the morning, then they are criticized by their boss. If people are criticized by their boss, then they do not receive positive feedback from teams at work. Kat either is a person who works well in teams in the workplac and is always tired every morning, or she is neither.","Kat is a person who comes to work every day with a positive attitude. Kat gets along with her colleagues at her work and receives positive feedback from teams at her work. Kat either gets along with her colleagues at her work or receives positive feedback from teams at her work.","U F T","∀x (WorkWellInTeamsIn(x, workPlace) → ∀y (Colleague(y) ∧ GetAlongWithAtWork(x, y))) ∀x (ComeToWorkWithEveryDay(x, positiveAttitude) → WorkWellInTeamsIn(x, workPlace)) ∀x (ComeToWorkWithEveryDay(x, positiveAttitude) ⊕ AlwaysTiredInMorning(x)) ∀x (AlwaysTiredInMorning(x) → CriticizedBy(x, boss)) ∀x (CriticizedBy(x, boss) → ¬ReceiveFromAtWork(x, positiveFeedback, team)) ¬(WorkWellInTeamsIn(kat, workPlace) ⊕ Tired(kat))","ComeToWorkWithEveryDay(kat, positiveAttitude) (∀y (Colleague(y) ∧ GetAlongWithAtWork(kat, y))) ∧ ReceiveFromAtWork(kat, positiveFeedback, team) (∀y (Colleague(y) ∧ GetAlongWithAtWork(kat, y))) ⊕ ReceiveFromAtWork(kat, positiveFeedback, team)","['Not found', 'Not found', 'Not found']" 451,"People on the payroll are being paid by the school. If someone has a job at a school, then they are on the payroll. All faculty members have a job at a school. If someone teaches students, they are a faculty member or a teacher. Every teacher has students. If Nancy is a teacher, then they are on the payroll. If Nancy is not a teacher, then they are not paid by the school. Nancy teaches students.","Nancy is a faculty member. Nancy is paid by the school and has students. Nancy is not paid by the school or does not have students.","U T F","∀x (OnPayroll(x) → PaidBy(x, school)) ∀x (HaveJobAt(x, school) → OnPayroll(x)) ∀x (FacultyMember(x) → HaveJobAt(x, school)) ∀x (Teach(x, student) → FacultyMember(x) ∨ Teacher(x)) ∀x (Teacher(x) → Have(x, student)) Teacher(nancy) → OnPayroll(nancy) ¬Teacher(nancy) → ¬OnPayroll(nancy) Teach(nancy, student)","FacultyMember(nancy) PaidBy(nancy, school) ∧ Have(nancy, student) ¬PaidBy(nancy, school) ∨ ¬Have(nancy, student))","['Not found', 'And(PaidBy(nancy,school),Have(nancy,student))\n├── Have(nancy,student)\n│ ├── Or(Have($x115,student),Not(Teacher($x115)))\n│ └── Or(Have(nancy,student),Teacher(nancy))\n│ ├── Or(Have(nancy,student),OnPayroll(nancy))\n│ │ ├── Or(Have($x115,student),Not(Teacher($x115)))\n│ │ └── Or(OnPayroll(nancy),Teacher(nancy))\n│ │ ├── Or(HaveJobAt(nancy,school),Teacher(nancy))\n│ │ │ ├── Or(FacultyMember(nancy),Teacher(nancy))\n│ │ │ │ ├── Or(Or(FacultyMember($x112),Not(Teach($x112,student))),Teacher($x112))\n│ │ │ │ └── Teach(nancy,student)\n│ │ │ └── Or(HaveJobAt($x19,school),Not(FacultyMember($x19)))\n│ │ └── Or(Not(HaveJobAt($x16,school)),OnPayroll($x16))\n│ └── Or(Not(OnPayroll(nancy)),Teacher(nancy))\n└── PaidBy(nancy,school)\n ├── Or(Not(OnPayroll($x13)),PaidBy($x13,school))\n └── Or(OnPayroll(nancy),PaidBy(nancy,school))\n ├── Or(Not(Teacher(nancy)),OnPayroll(nancy))\n └── Or(PaidBy(nancy,school),Teacher(nancy))\n ├── Or(Not(OnPayroll($x13)),PaidBy($x13,school))\n └── Or(OnPayroll(nancy),Teacher(nancy))\n ├── Or(HaveJobAt(nancy,school),Teacher(nancy))\n │ ├── Or(FacultyMember(nancy),Teacher(nancy))\n │ │ ├── Or(Or(FacultyMember($x112),Not(Teach($x112,student))),Teacher($x112))\n │ │ └── Teach(nancy,student)\n │ └── Or(HaveJobAt($x19,school),Not(FacultyMember($x19)))\n └── Or(Not(HaveJobAt($x16,school)),OnPayroll($x16))\n', 'Not(Or(Not(PaidBy(nancy,school)),Not(Have(nancy,student))))\n├── Have(nancy,student)\n│ ├── Or(Have($x115,student),Not(Teacher($x115)))\n│ └── Or(Have(nancy,student),Teacher(nancy))\n│ ├── Or(Have(nancy,student),OnPayroll(nancy))\n│ │ ├── Or(Have($x115,student),Not(Teacher($x115)))\n│ │ └── Or(OnPayroll(nancy),Teacher(nancy))\n│ │ ├── Or(HaveJobAt(nancy,school),Teacher(nancy))\n│ │ │ ├── Or(FacultyMember(nancy),Teacher(nancy))\n│ │ │ │ ├── Or(Or(FacultyMember($x112),Not(Teach($x112,student))),Teacher($x112))\n│ │ │ │ └── Teach(nancy,student)\n│ │ │ └── Or(HaveJobAt($x19,school),Not(FacultyMember($x19)))\n│ │ └── Or(Not(HaveJobAt($x16,school)),OnPayroll($x16))\n│ └── Or(Not(OnPayroll(nancy)),Teacher(nancy))\n└── PaidBy(nancy,school)\n ├── Or(Not(OnPayroll($x13)),PaidBy($x13,school))\n └── Or(OnPayroll(nancy),PaidBy(nancy,school))\n ├── Or(Not(Teacher(nancy)),OnPayroll(nancy))\n └── Or(PaidBy(nancy,school),Teacher(nancy))\n ├── Or(Not(OnPayroll($x13)),PaidBy($x13,school))\n └── Or(OnPayroll(nancy),Teacher(nancy))\n ├── Or(HaveJobAt(nancy,school),Teacher(nancy))\n │ ├── Or(FacultyMember(nancy),Teacher(nancy))\n │ │ ├── Or(Or(FacultyMember($x112),Not(Teach($x112,student))),Teacher($x112))\n │ │ └── Teach(nancy,student)\n │ └── Or(HaveJobAt($x19,school),Not(FacultyMember($x19)))\n └── Or(Not(HaveJobAt($x16,school)),OnPayroll($x16))\n']" 429,"None of the easy Leetcode problems have an AC rate lower than 20 percent. All Leetcode problems recommended to novices are easy. Leetcode problems either have an AC rate lower than 20 percent or are starred by more than 1 thousand users. All hard Leetcode problems are starred by more than 1,000 users. No Leetcode problems published after 2022 are starred by more than 1,000 users. '2Sum' is not both hard and also recommended to novices. '4Sum' is either starred by more than 1,000 users and published after 2022, or it is neither. ","2Sum is an easy Leetcode problem. 2Sum is not an easy Leetcode problem. 4Sum is recommended to novices or is hard. 4Sum is neither recommended to the novice nor a Leetcode problem that's hard.","U U F T","∀x ((LeetcodeProblems(x) ∧ Easy(x)) → ¬HaveAnACRateLowerThan(x, percent20)) ∀x ((LeetcodeProblems(x) ∧ RecommendedTo(x, novices)) → Easy(x)) ∀x (LeetcodeProblems(x) → HaveAnACRateLowerThan(x, percent20) ⊕ StarredByMoreThan(x, num1000)) ∀x ((LeetcodeProblems(x) ∧ Hard(x)) → StarredByMoreThan(x, num1000)) ∀x ((LeetcodeProblems(x) ∧ PublishedAfter(x, yr2022)) → (¬StarredByMoreThan(x, num1000))) ¬(RecommendedTo(twosum, novices) ∧ Hard(twosum)) ∧ LeetcodeProblems(twosum) ¬(StarredByMoreThan(foursum, num1000) ⊕ PublishedAfter(foursum, yr2022)) ∧ LeetcodeProblems(twosum)","LeetcodeProblems(twosum) ∧ Easy(twosum) ¬(LeetcodeProblems(twosum) ∧ Easy(twosum)) RecommendedTo(foursum, novices) ∨ Hard(foursum) ¬RecommendedTo(foursum, novices) ∧ ¬Hard(foursum)","['Not found', 'Not found', 'Not found', 'Not found']" 485,"Every instrument in the percussion section is either an idiophone or a membranophone. Idiophones in the percussion section vibrate their primary body. Membranophones in the percussion section vibrate a stretched membrane. Every instrument in the percussion section that vibrates its primary body also tunes by sanding. Every instrument in the percussion section that vibrates a stretched membrane also tunes by tightening. Timpani in the percussion section are tuned by tightening. Xylophones in the percussion section are not tuned by tightening. The snare drum is in the percussion section; and either is both a timpani and is tuned by standing, or neither. ","The snare drum is a timpani. The snare drum is not a timpani. The snare drum is a xylophone. The snare drum is a xylophone or tuned by tightening. The snare drum is either a xylophone or tuned by tightening.","U U F T T","∀x (Instrument(x) ∧ In(x, percussionSection) → Idiophone(x) ⊕ Membranophone(x)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Idiophone(x) → Vibrate(x, primaryBody)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Membranophone(x) → Vibrate(x, stretchedMembrane)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Vibrate(x, primaryBody) → TuneBySanding(x)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Vibrate(x, stretchedMembrane) → TuneByTightening(x)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Timpani(x) → TunedByTightening(x)) ∀x (Instrument(x) ∧ In(x, percussionSection) ∧ Xylophone(x) → ¬TunedByTightening(x)) Instrument(snareDrum) ∧ In(snareDrum, percussionSection) ∧ ¬(Timpani(snareDrum) ⊕ TunedBySanding(snareDrum))","Timpani(snareDrum) ¬Timpani(snareDrum) Xylophone(snareDrum) Xylophone(snareDrum) ∨ TunedByTightening(snareDrum) Xylophone(snareDrum) ⊕ TunedByTightening(snareDrum)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 473,"All pets in my house are either cats or dogs. All the dogs in my house bark. Ghosts do not exist. If some pet in my house barks, then it is not dead. All of the pets in my house are either dead or alive. Jojo is a pet in my house, and it is not alive.","Jojo is a ghost. Jojo is a cat or a ghost. If Jojo is a cat or a ghost, then Jojo either barks or is a dog.","F T F","∀x (Pet(x) ∧ In(x, myHouse) → Cat(x) ⊕ Dog(x)) ∀x (Dog(x) ∧ In(x, myHouse) → Bark(x)) ∀x (¬Ghost(x)) ∀x (Bark(x) ∧ Pet(x) ∧ In(x, myHouse) → ¬Dead(x)) ∀x (Pet(x) ∧ In(x, myHouse) → Dead(x) ⊕ Alive(x)) Pet(jojo) ∧ InMyHouse(jojo)∧ ¬Alive(jojo)","Ghost(jojo) Cat(jojo) ∨ Ghost(jojo) Cat(jojo) ∨ Ghost(jojo) → Bark(jojo) ⊕ Dog(jojo)","['Not(Ghost(jojo))\n└── Not(Ghost($x19))\n', 'Not found', 'Or(Cat(jojo),Implies(Ghost(jojo),And(Or(Bark(jojo),Dog(jojo)),Not(And(Bark(jojo),Dog(jojo))))))\n├── Or(Or(Or(Bark(jojo),Cat(jojo)),Dog(jojo)),Not(Ghost(jojo)))\n│ └── Not(Ghost($x19))\n└── Or(Or(Or(Cat(jojo),Not(Bark(jojo))),Not(Dog(jojo))),Not(Ghost(jojo)))\n └── Not(Ghost($x19))\n']" 398,"All mind-reading is either brain reading or brain decoding. All brain decoding that is mind-reading is extracting information from BOLD signals. No studies that are mind-reading and extract information from BOLD signals are without statistical pattern analysis. Writing a novel is without statistical pattern analysis. 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. Multivoxel (pattern) analysis is a type of mind-reading.","Multivoxel (pattern) analysis is a brain decoding. Multivoxel (pattern) analysis is the writing of a novel. Multivoxel (pattern) analysis is without statistical pattern analysis and writing a novel. Multivoxel (pattern) analysis is without statistical pattern analysis or writing a novel. Multivoxel (pattern) analysis is either without statistical pattern analysis or writing a novel. If multivoxel (pattern) analysis is writing a novel, then multivoxel (pattern) analysis is neither without statistical pattern analysis nor writing a novel.","U F F F F T","∀x (MindReading(x) ∧ (BrainReading(x) ⊕ BrainDecoding(x))) ∀x ((MindReading(x) ∧ BrainDecoding(x)) → ExtractingFrom(x, information, bOLDSignals)) ∀x ((MindReading(x) ∧ ExtractingFrom(x, information, bOLDSignals)) → Uses(x, statisticalPatternAnalysis)) ∀x (NovelWriting(x) → ¬Uses(x, statisticalPatternAnalysis)) MindReading(multivoxelPatternAnalysis) ∧ (¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ BrainReading(multivoxelPatternAnalysis)) → (¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ (¬BrainDecoding(multivoxelPatternAnalysis))) MindReading(multivoxelPatternAnalysis) ","MindReading(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis) MindReading(multivoxelPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis) ¬(Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis)) ¬(Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∨ NovelWriting(multivoxelPatternAnalysis)) ¬Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ⊕ Writing(multivoxelPatternAnalysis, aNovel) (MindReading(multivoxelPatternAnalysis) ∧ NovelWriting(multivoxelPatternAnalysis)) → (Uses(multivoxelPatternAnalysis, statisticalPatternAnalysis) ∨ ¬NovelWriting(multivoxelPatternAnalysis))","['Not found', 'Not found', 'Or(Not(NovelWriting(multivoxelPatternAnalysis)),Not(Uses(multivoxelPatternAnalysis,statisticalPatternAnalysis)))\n└── Or(Not(NovelWriting($x112)),Not(Uses($x112,statisticalPatternAnalysis)))\n', 'Not found', 'Not found', 'Not found']" 358,"If people play competitive equestrian polo, then they are not expected to prepare for standardized exams. If people are world-class at horse riding and polo, then they play competitive equestrian polo. If people are expected to become a doctor or lawyers after school, then they are expected to prepare for standardized exams. If people are expected to get high-paying and stable careers, then they are expected to become a doctor or a lawyer after school. People who are nominated the CRA reward during the undergraduate study are expected to get high paying, stable careers. Riley either both is expected to get a high paying, stable career and expected to prepare for standardized exams, or she neither is expected to get a high paying, stable career nor expected to prepare for standardized exams.","Riley is world-class at horse riding and polo. Riley is nominated the CRA reward during the undergraduate study. Riley either plays competitive equestrian polo or, if she does not, then she is nominated the CRA reward during the undergraduate study.","U U U","∀x (Play(x, competitiveEquestrianPolo) → ¬ExpectedToPrepareFor(x, standardizedExam)) ∀x (WorldClassAt(x, horseRiding) ∧ WorldClassAt(x, polo) → Play(riley, competitiveEquestrianPolo)) ∀x (ExpectedToBecome(x, doctor) ∨ ExpectedToBecome(x, lawyer) → ExpectedToPrepareFor(x, standardizedExam)) ∀x (ExpectedToGet(x, highPayingCareer) ∧ ExpectedToGet(x, stableCareer) → ExpectedToBe(x, doctor) ∨ ExpectedToBe(x, lawyer)) ∀x (Nominated(x, cRAAward) → ExpectedToGet(x, highPayingCareer) ∧ ExpectedToGet(x, stableCareer)) ¬((ExpectedToGet(riley, highPayingCareer) ∧ ExpectedToGet(riley, stableCareer)) ⊕ ExpectedToPrepareFor(riley, standardizedExam))","WorldClassAt(x, horseRiding) ∧ WorldClassAt(x, polo) Nominated(riley, cRAAward) Play(riley, competitiveEquestrianPolo) ⊕ Nominated(riley, cRAAward)","['Not found', 'Not found', 'Not found']" 309,"Tipped employees are not entitled to be paid the federal minimum wage by their employees. If a person is a white-collar worker, they are entitled to be paid the federal minimum wage by their employees. All lawyers are white-collar workers. Every advocate is a lawyer. Mary is not a lawyer or a tipped employee.","Mary is a white-collar worker. Mary is an advocate. Mary is not an advocate. Mary is either an advocate or a tipped employee. 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. If Mary is either an advocate or a tipped employee, she is an advocate.","U F T F T T","∀x (TippedEmployee(x) → ¬EntitledTo(x, federalMinimumWage)) ∀x (WhiteCollarWorker(x) → EntitledTo(x, federalMinimumWage)) ∀x (Lawyer(x) → WhiteCollarWorker(x)) ∀x (Advocate(x) → Lawyer(x)) ¬(Lawyer(mary) ⊕ TippedEmployee(mary))","WhiteCollarWorker(mary) Advocate(mary) ¬Advocate(mary) Advocate(mary) ⊕ TippedEmployee(mary) (¬(Advocate(mary) ∧ EntitledTo(mary, federalMinimumWage))) → ¬TippedEmployee(mary) (Advocate(mary) ⊕ TippedEmployee(mary)) → Advocate(mary)","['Not found', 'Not(Advocate(mary))\n├── Not(Lawyer(mary))\n│ ├── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n│ └── Or(Not(Lawyer(mary)),Not(WhiteCollarWorker(mary)))\n│ ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n│ └── Or(Not(EntitledTo(mary,federalMinimumWage)),Not(Lawyer(mary)))\n│ ├── Or(Not(EntitledTo($x13,federalMinimumWage)),Not(TippedEmployee($x13)))\n│ └── Or(Not(Lawyer(mary)),TippedEmployee(mary))\n└── Or(Lawyer($x112),Not(Advocate($x112)))\n', 'Not(Advocate(mary))\n├── Not(Lawyer(mary))\n│ ├── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n│ └── Or(Not(Lawyer(mary)),Not(WhiteCollarWorker(mary)))\n│ ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n│ └── Or(Not(EntitledTo(mary,federalMinimumWage)),Not(Lawyer(mary)))\n│ ├── Or(Not(EntitledTo($x13,federalMinimumWage)),Not(TippedEmployee($x13)))\n│ └── Or(Not(Lawyer(mary)),TippedEmployee(mary))\n└── Or(Lawyer($x112),Not(Advocate($x112)))\n', 'Not(And(Or(Advocate(mary),TippedEmployee(mary)),Not(And(Advocate(mary),TippedEmployee(mary)))))\n├── Or(Advocate(mary),Not(TippedEmployee(mary)))\n│ └── Not(TippedEmployee(mary))\n│ ├── Or(EntitledTo(mary,federalMinimumWage),Not(TippedEmployee(mary)))\n│ │ ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n│ │ └── Or(Not(TippedEmployee(mary)),WhiteCollarWorker(mary))\n│ │ ├── Or(Lawyer(mary),Not(TippedEmployee(mary)))\n│ │ └── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n│ └── Or(Not(EntitledTo($x13,federalMinimumWage)),Not(TippedEmployee($x13)))\n└── Or(Not(Advocate(mary)),TippedEmployee(mary))\n ├── Or(Lawyer($x112),Not(Advocate($x112)))\n └── Or(Not(Lawyer(mary)),TippedEmployee(mary))\n', 'Implies(Not(And(Advocate(mary),EntitledTo(mary,federalMinimumWage))),Not(TippedEmployee(mary)))\n├── Or(Advocate(mary),Not(TippedEmployee(mary)))\n│ └── Not(TippedEmployee(mary))\n│ ├── Or(EntitledTo(mary,federalMinimumWage),Not(TippedEmployee(mary)))\n│ │ ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n│ │ └── Or(Not(TippedEmployee(mary)),WhiteCollarWorker(mary))\n│ │ ├── Or(Lawyer(mary),Not(TippedEmployee(mary)))\n│ │ └── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n│ └── Or(Not(EntitledTo($x13,federalMinimumWage)),Not(TippedEmployee($x13)))\n└── Or(EntitledTo(mary,federalMinimumWage),Not(TippedEmployee(mary)))\n ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n └── Or(Not(TippedEmployee(mary)),WhiteCollarWorker(mary))\n ├── Or(Lawyer(mary),Not(TippedEmployee(mary)))\n └── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n', 'Or(Advocate(mary),Not(TippedEmployee(mary)))\n└── Not(TippedEmployee(mary))\n ├── Or(EntitledTo(mary,federalMinimumWage),Not(TippedEmployee(mary)))\n │ ├── Or(EntitledTo($x16,federalMinimumWage),Not(WhiteCollarWorker($x16)))\n │ └── Or(Not(TippedEmployee(mary)),WhiteCollarWorker(mary))\n │ ├── Or(Lawyer(mary),Not(TippedEmployee(mary)))\n │ └── Or(Not(Lawyer($x19)),WhiteCollarWorker($x19))\n └── Or(Not(EntitledTo($x13,federalMinimumWage)),Not(TippedEmployee($x13)))\n']" 327,"No professional basketball players are soccer players. All NBA players are professional basketball players. All soccer defenders are soccer players. All centerbacks are soccer defenders. Roger Federer is either both an NBA player and a soccer defender, or neither.","Roger Federer is a centerback. Roger Federer is not a centerback. Roger Federer is a soccer player.","F T U","∀x (ProfessionalBasketballPlayer(x) → ¬ProfessionalSoccerPlayer(x)) ∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x)) ∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x)) ∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x)) ¬(NBAPlayer(rogerfederer) ⊕ ProfessionalSoccerDefender(rogerfederer))","ProfessionalCenterback(rogerFederer) ¬ProfessionalCenterback(rogerFederer) ProfessionalSoccerPlayer(rogerFederer)","['Not found', 'Not found', 'Not found']" 450,"Those who can fly over a vast distance glide in the air. Flightless birds cannot fly over a vast distance. Penguins are flightless birds. Nonflying birds in Antarctica are penguins. Fido is a penguin, or flies over a vast distance. ","Fido is a flightless bird Fido is not a nonflying bird in Antarctica, and he cannot glid in the air. If Fido either can fly over a vast distance or cannot fly over a vast distance, then Fido is a nonflying bird in Antartica.","U F T","∀x (FlyOver(x, vastDistance) → GlideInAir(x)) ∀x (Flightless(x) ∧ Bird(x) → ¬FlyOver(x, vastDistance)) ∀x (Penguin(x) → Flightless(x) ∧ Bird(x)) ∀x (NonFlying(x) ∧ Bird(x) ∧ In(x, antarctica) → Penguin(x)) Penguin(fido) ∨ FlyOver(fido, vastDistance)","Flightless(fido) ∧ Bird(fido) ¬(NonFlying(fido) ∧ Bird(fido) ∧ In(fido, antarctica)) ∧ ¬GlideInAir(fido) (FlyOver(fido, vastDistance) ⊕ ¬FlyOver(fido, vastDistance)) → (NonFlying(fido) ∧ Bird(fido) ∧ In(fido, antarctica))","['Not found', 'Not found', 'Not found']" 348,"All young adults at the event like independence. All college students at the event are young adults. All Yale students at the event are college students. Everyone at the event is a Yale student or a Harvard student. All Harvard students at the event are diligent. Susan is at the event, and if Susan is a Harvard student, then she is a young adult. If Susan is a Yale student, then she does not like independence.","Susan is a college student. Susan likes independence and is diligent. Susan is not both diligent and likes independence.","U T F","∀x (At(x, event) ∧ YoungAdult(x) → Like(x, independence)) ∀x (At(x, event) ∧ CollegeStudent(x) → YoungAdult(x)) ∀x (At(x, event) ∧ YaleStudent(x) → CollegeStudent(x)) ∀x (At(x, event) → (YaleStudent(x) ⊕ HarvardStudent(x))) ∀x (At(x, event) ∧ HarvardStudent(x) → Diligent(x)) At(susan, event) ∧ (HarvardStudent(susan) → YoungAdult(susan)) YaleStudent(susan) → ¬Like(susan, independence)","CollegeStudent(susan) Like(susan, independence) ∧ Diligent(susan) ¬(Like(susan, independence) ∧ Diligent(susan))","['Not found', 'And(Like(susan,independence),Diligent(susan))\n├── Diligent(susan)\n│ ├── At(susan,event)\n│ └── Or(Diligent(susan),Not(At(susan,event)))\n│ ├── Or(HarvardStudent(susan),Not(At(susan,event)))\n│ │ ├── Or(Not(At(susan,event)),Not(YaleStudent(susan)))\n│ │ │ ├── Or(Or(CollegeStudent($x19),Not(At($x19,event))),Not(YaleStudent($x19)))\n│ │ │ └── Or(Or(Not(At(susan,event)),Not(CollegeStudent(susan))),Not(YaleStudent(susan)))\n│ │ │ ├── Or(Or(Not(At($x16,event)),Not(CollegeStudent($x16))),YoungAdult($x16))\n│ │ │ └── Or(Or(Not(At(susan,event)),Not(YaleStudent(susan))),Not(YoungAdult(susan)))\n│ │ │ ├── Or(Not(Like(susan,independence)),Not(YaleStudent(susan)))\n│ │ │ └── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n│ │ └── Or(Or(HarvardStudent($x112),Not(At($x112,event))),YaleStudent($x112))\n│ └── Or(Or(Diligent($x115),Not(At($x115,event))),Not(HarvardStudent($x115)))\n└── Like(susan,independence)\n ├── At(susan,event)\n └── Or(Like(susan,independence),Not(At(susan,event)))\n ├── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n └── Or(Or(Like(susan,independence),Not(At(susan,event))),YoungAdult(susan))\n ├── Or(Or(CollegeStudent(susan),Like(susan,independence)),Not(At(susan,event)))\n │ ├── Or(Or(CollegeStudent($x19),Not(At($x19,event))),Not(YaleStudent($x19)))\n │ └── Or(Or(Like(susan,independence),Not(At(susan,event))),YaleStudent(susan))\n │ ├── Or(Or(HarvardStudent($x112),Not(At($x112,event))),YaleStudent($x112))\n │ └── Or(Or(Like(susan,independence),Not(At(susan,event))),Not(HarvardStudent(susan)))\n │ ├── Or(Not(HarvardStudent(susan)),YoungAdult(susan))\n │ └── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n └── Or(Or(Not(At($x16,event)),Not(CollegeStudent($x16))),YoungAdult($x16))\n', 'And(Like(susan,independence),Diligent(susan))\n├── Diligent(susan)\n│ ├── At(susan,event)\n│ └── Or(Diligent(susan),Not(At(susan,event)))\n│ ├── Or(HarvardStudent(susan),Not(At(susan,event)))\n│ │ ├── Or(Not(At(susan,event)),Not(YaleStudent(susan)))\n│ │ │ ├── Or(Or(CollegeStudent($x19),Not(At($x19,event))),Not(YaleStudent($x19)))\n│ │ │ └── Or(Or(Not(At(susan,event)),Not(CollegeStudent(susan))),Not(YaleStudent(susan)))\n│ │ │ ├── Or(Or(Not(At($x16,event)),Not(CollegeStudent($x16))),YoungAdult($x16))\n│ │ │ └── Or(Or(Not(At(susan,event)),Not(YaleStudent(susan))),Not(YoungAdult(susan)))\n│ │ │ ├── Or(Not(Like(susan,independence)),Not(YaleStudent(susan)))\n│ │ │ └── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n│ │ └── Or(Or(HarvardStudent($x112),Not(At($x112,event))),YaleStudent($x112))\n│ └── Or(Or(Diligent($x115),Not(At($x115,event))),Not(HarvardStudent($x115)))\n└── Like(susan,independence)\n ├── At(susan,event)\n └── Or(Like(susan,independence),Not(At(susan,event)))\n ├── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n └── Or(Or(Like(susan,independence),Not(At(susan,event))),YoungAdult(susan))\n ├── Or(Or(CollegeStudent(susan),Like(susan,independence)),Not(At(susan,event)))\n │ ├── Or(Or(CollegeStudent($x19),Not(At($x19,event))),Not(YaleStudent($x19)))\n │ └── Or(Or(Like(susan,independence),Not(At(susan,event))),YaleStudent(susan))\n │ ├── Or(Or(HarvardStudent($x112),Not(At($x112,event))),YaleStudent($x112))\n │ └── Or(Or(Like(susan,independence),Not(At(susan,event))),Not(HarvardStudent(susan)))\n │ ├── Or(Not(HarvardStudent(susan)),YoungAdult(susan))\n │ └── Or(Or(Like($x13,independence),Not(At($x13,event))),Not(YoungAdult($x13)))\n └── Or(Or(Not(At($x16,event)),Not(CollegeStudent($x16))),YoungAdult($x16))\n']" 449,"Animals who need large territory travel far. Every animal that eats a lot needs a large territory. If something is a big animal, then it will eat a lot. Bears are big animals. Larry is a big animal.","Larry is a bear. Larry is not a bear and does not travel far. If Larry either travels far or needs a large territory, then Larry is a bear.","U F T","∀x (Animal(x) ∧ Need(x, largeTerritory) → TravelFar(x)) ∀x (EatALot(x) → Need(x, largeTerritory)) ∀x (Big(x) ∧ Animal(x) → EatALot(x)) ∀x (Bear(x) → Big(x) ∧ Animal(x)) Big(larry) ∧ Animal(larry)","Bear(larry) ¬Bear(larry) ∧ ¬TravelFar(larry) TravelFar(larry) ⊕ Need(larry, largeTerritory) → Bear(larry)","['Not found', 'Or(Bear(larry),TravelFar(larry))\n└── TravelFar(larry)\n ├── Animal(larry)\n └── Or(Not(Animal(larry)),TravelFar(larry))\n ├── Or(Need(larry,largeTerritory),Not(Animal(larry)))\n │ ├── Or(EatALot(larry),Not(Animal(larry)))\n │ │ ├── Big(larry)\n │ │ └── Or(Or(EatALot($x19),Not(Animal($x19))),Not(Big($x19)))\n │ └── Or(Need($x16,largeTerritory),Not(EatALot($x16)))\n └── Or(Or(Not(Animal($x13)),Not(Need($x13,largeTerritory))),TravelFar($x13))\n', 'Implies(And(Or(TravelFar(larry),Need(larry,largeTerritory)),Not(And(TravelFar(larry),Need(larry,largeTerritory)))),Bear(larry))\n├── Or(Or(Bear(larry),Need(larry,largeTerritory)),Not(TravelFar(larry)))\n│ └── Need(larry,largeTerritory)\n│ ├── Animal(larry)\n│ └── Or(Need(larry,largeTerritory),Not(Animal(larry)))\n│ ├── Or(EatALot(larry),Not(Animal(larry)))\n│ │ ├── Big(larry)\n│ │ └── Or(Or(EatALot($x19),Not(Animal($x19))),Not(Big($x19)))\n│ └── Or(Need($x16,largeTerritory),Not(EatALot($x16)))\n└── Or(Or(Bear(larry),Not(Need(larry,largeTerritory))),TravelFar(larry))\n └── Or(Not(Need(larry,largeTerritory)),TravelFar(larry))\n ├── Animal(larry)\n └── Or(Or(Not(Animal($x13)),Not(Need($x13,largeTerritory))),TravelFar($x13))\n']" 328,"No soccer players are professional basketball players. All NBA players are professional basketball players. All soccer defenders are soccer players. All centerback players are soccer defenders. If Stephen Curry is an NBA player or a soccer player, then he is a professional basketball player.","Stephen Curry is an NBA player. Stephen Curry is a centerback player. Stephen Curry is not a centerback player.","U F T","∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x)) ∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x)) ∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x)) ∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x)) (NBAPlayer(stephencurry) ⊕ ProfessionalSoccerPlayer(stephencurry)) → ProfessionalBasketballPlayer(stephencurry)","NBAPlayer(stephenCurry) ProfessionalCenterback(stephenCurry) ¬ProfessionalCenterback(stephenCurry)","['Not found', 'Not found', 'Not found']" 480,"Everyone honored at the ceremony that is discharged is not actively serving in the military. Every veteran honored at the ceremony is discharged. Everyone honored at the ceremony is actively serving in the military or actively serving in the Marines. Everyone honored at the ceremony that is actively serving in the Marines is capable of ground combat. Everyone honored at the ceremony that is actively serving in the Marines is capable of naval combat. Luca is honored at the ceremony and either discharged or a veteran. Spencer is either both discharged and a veteran, or neither.","Luca is capable of naval combat and ground combat. Luca is not both capable of naval combat and ground combat. Luca is capable of naval combat or ground combat. Luca is neither capable of naval combat nor ground combat. Spencer is discharged.","T F T F U","∀x (HonoredAt(x, ceremony) ∧ Discharged(x) → ¬ActivelyServingIn(x, military)) ∀x (HonoredAt(x, ceremony) ∧ Veteran(x) → Discharged(x)) ∀x (HonoredAt(x, ceremony) ∧ (ActivelyServingIn(x, military) ∨ ActivelyServingIn(x, marines))) ∀x (HonoredAt(x, ceremony) ∧ ActivelyServingIn(x, marines) → CapableOf(x, groundCombat)) ∀x (HonoredAt(x, ceremony) ∧ ActivelyServingIn(x, marines) → CapableOf(x, navalCombat)) HonoredAt(luca, ceremoy) ∧ (Discharged(luca) ⊕ Veteran(luca)) ¬(Discharged(spencer) ⊕ Veteran(spencer))","CapableOf(luca, navalCombat) ∧ CapableOf(luca, groundCombat) ¬(CapableOf(luca, navalCombat) ∧ CapableOf(luca, groundCombat)) CapableOf(luca, navalCombat) ∨ CapableOf(luca, groundCombat) ¬CapableOf(luca, navalCombat) ∧ ¬CapableOf(luca, groundCombat) Discharged(spencer)","['Not found', 'Not found', 'Not found', 'Not found', 'Not found']" 317,"All clothes are products. No products are perfect. All dresses are clothes. All skirts are dresses. If the fabric bundle is a piece of clothing, then the fabric bundle is a perfect dress.","The fabric bundle is perfect. The fabric bundle is a skirt. The fabric bundle is not a skirt.","U F T","∀x (Clothes(x) → Product(x)) ∀x (Product(x) → ¬Perfect(x)) ∀x (Dress(x) → Clothes(x)) ∀x (Skirt(x) → Dress(x)) Clothes(fabricBundle) → Perfect(fabricBundle) ∧ Dress(fabricBundle)","Perfect(fabricbundle) Skirt(fabricbundle) ¬Skirt(fabricbundle)","['Not found', 'Not found', 'Not found']" 352,"All business organizations are legal entities. All companies are business organizations. All private companies are companies. All legal entities are created under law. All legal entities have legal obligations. If the Harvard Weekly Book Club is created under law, then it is not a private company. ","The Harvard Weekly Book club has legal obligations. The Harvard Weekly Book club has legal obligations and is a private company. If the Harvard Weekly Book club is a private company, then it either has legal obligations or is created under law.","U F T","∀x (BusinessOrganization(x) → LegalEntity(x)) ∀x (Company(x) → BusinessOrganization(x)) ∀x (PrivateCompany(x) → Company(x)) ∀x (LegalEntity(x) → CreatedUnderLaw(x)) ∀x (LegalEntity(x) → LegalObligation(x)) CreatedUnderLaw(harvardWeeklyBookClub) → ¬PrivateCompany(harvardWeeklyBookClub)","LegalObligation(harvardWeeklyBookClub) LegalObligation(harvardWeeklyBookClub) ∧ PrivateCompany(harvardWeeklyBookClub) PrivateCompany(harvardWeeklyBookClub) → LegalObligation(harvardWeeklyBookClub) ⊕ CreatedUnderLaw(harvardWeeklyBookClub)","['Not found', 'Or(Not(LegalObligation(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n└── Not(PrivateCompany(harvardWeeklyBookClub))\n ├── Or(Company($x19),Not(PrivateCompany($x19)))\n └── Or(Not(Company(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n ├── Or(BusinessOrganization($x16),Not(Company($x16)))\n └── Or(Not(BusinessOrganization(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n ├── Or(LegalEntity($x13),Not(BusinessOrganization($x13)))\n └── Or(Not(LegalEntity(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n ├── Or(CreatedUnderLaw($x112),Not(LegalEntity($x112)))\n └── Or(Not(CreatedUnderLaw(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n', 'Implies(PrivateCompany(harvardWeeklyBookClub),And(Or(LegalObligation(harvardWeeklyBookClub),CreatedUnderLaw(harvardWeeklyBookClub)),Not(And(LegalObligation(harvardWeeklyBookClub),CreatedUnderLaw(harvardWeeklyBookClub)))))\n├── Or(Or(CreatedUnderLaw(harvardWeeklyBookClub),LegalObligation(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n│ └── Or(CreatedUnderLaw($x13),Not(PrivateCompany($x13)))\n│ ├── Or(Company($x19),Not(PrivateCompany($x19)))\n│ └── Or(CreatedUnderLaw($x13),Not(Company($x13)))\n│ ├── Or(BusinessOrganization($x16),Not(Company($x16)))\n│ └── Or(CreatedUnderLaw($x13),Not(BusinessOrganization($x13)))\n│ ├── Or(CreatedUnderLaw($x112),Not(LegalEntity($x112)))\n│ └── Or(LegalEntity($x13),Not(BusinessOrganization($x13)))\n└── Or(Or(Not(CreatedUnderLaw(harvardWeeklyBookClub)),Not(LegalObligation(harvardWeeklyBookClub))),Not(PrivateCompany(harvardWeeklyBookClub)))\n └── Or(Not(CreatedUnderLaw(harvardWeeklyBookClub)),Not(PrivateCompany(harvardWeeklyBookClub)))\n']" 318,"Some show airing at 8 pm on Monday gives out roses on TV. If a show gives out roses on TV, then the show is an episode of The Bachelor. The Bachelor portrays the lives of real people. All shows portraying the lives of real people are reality TV shows. Breaking Bad is a show. Breaking Bad is not a reality TV show.","Breaking Bad is on Monday at 8 pm. Breaking Bad is a TV show in which roses are given out on Monday at 8 pm. If roses are given out during Breaking Bad, then it is on Monday at 8 pm.","U F T","∃x (Show(x) ∧ AiringAtOn(x, 8PMMonday) ∧ GivenOutOn(x, rose, tV)) ∀x (Show(x) ∧ GivenOutOnAt(rose, tV, x) → TheBachelor(x)) ∀x (TheBachelor(x) → Portray(x, lifeOfRealPeople)) ∀x (Portray(x, liveOfRealPeople) → RealityTVShow(x)) Show(breakingBad) ¬RealityTVShow(breakingBad)","∀x (MondayAt8PM(x) ∧ On(breakingBad, x)) ∀x ∀y (MondayAt8PM(x) ∧ Rose(y) ∧ GivenOutOn(y, tv) ∧ On(tv, x) ∧ From(y, breakingBad)) ∀x ∀y ((Rose(y) ∧ GivenOutOn(y, tv) ∧ On(tv, x) ∧ From(y, breakingBad)) → MondayAt8PM(x))","['Not found', 'Not found', 'Not found']" 453,"No birds are ectothermic. All penguins are birds. An animal is ectothermic or endothermic. All endothermic animals produce heat within the body. Ron and Henry are both animals. Ron is not a bird and does not produce heat with the body. Henry is not a cat and does not produce heat with the body. ","Ron is a cat. Either Henry is a penguin or Henry is endothermic. Ron is either both a penguin and endothermic, or he is nether.","U F T","∀x (Bird(x) → ¬Ectothermic(x)) ∀x (Penguin(x) → Bird(x)) ∀x (Animal(x) → Ectothermic(x) ∨ Endothermic(x)) ∀x (Endothermic(x) → ProduceWithIn(x, heat, body)) Animal(ron) ∧ Animal(henry) ¬Bird(ron) ∧ ¬ProduceWithIn(ron, heat, body) ¬Cat(henry) ∧ ¬ProduceWithIn(henry, heat, body)","Cat(ron) Penguin(henry) ⊕ Endothermic(henry) ¬(Penguin(ron) ⊕ Endothermic(henry))","['Not found', 'Not(And(Or(Penguin(henry),Endothermic(henry)),Not(And(Penguin(henry),Endothermic(henry)))))\n├── Or(Endothermic(henry),Not(Penguin(henry)))\n│ ├── Or(Bird($x16),Not(Penguin($x16)))\n│ └── Or(Endothermic(henry),Not(Bird(henry)))\n│ ├── Or(Ectothermic(henry),Endothermic(henry))\n│ │ ├── Animal(henry)\n│ │ └── Or(Or(Ectothermic($x19),Endothermic($x19)),Not(Animal($x19)))\n│ └── Or(Not(Bird($x13)),Not(Ectothermic($x13)))\n└── Or(Not(Endothermic(henry)),Penguin(henry))\n └── Not(Endothermic(henry))\n ├── Not(ProduceWithIn(henry,heat,body))\n └── Or(Not(Endothermic($x112)),ProduceWithIn($x112,heat,body))\n', 'Not(And(Or(Penguin(ron),Endothermic(henry)),Not(And(Penguin(ron),Endothermic(henry)))))\n├── Or(Endothermic(henry),Not(Penguin(ron)))\n│ └── Not(Penguin(ron))\n│ ├── Not(Bird(ron))\n│ └── Or(Bird($x16),Not(Penguin($x16)))\n└── Or(Not(Endothermic(henry)),Penguin(ron))\n └── Not(Endothermic(henry))\n ├── Not(ProduceWithIn(henry,heat,body))\n └── Or(Not(Endothermic($x112)),ProduceWithIn($x112,heat,body))\n']" 462,"All classrooms in William L. Harkness Hall that are used for lectures are booked during the day. None of the classrooms in William L. Harkness Hall are private study spots. All classrooms in William L. Harkness Hall are used for lectures or used for office hours. If a classroom in William L. Harkness Hall is booked in the evening, then it is not freely usable at night. If a classroom in William L. Harkness Hall is used for office hours, then it is booked in the evening. Room 116 is a classroom in William L. Harkness Hall that is either both used for lecture and used for office hours or not used for either.","Room 116 is a private study spot. If Room 116 is either both booked during the day and freely usable at night, or neither, then it is either used for office hours or for private study spots. If Room 116 is not both a private study spot and freely useable at night, then it is either used for lectures or booked during the day.","F T F","∀x (ClassroomIn(x, williamLHarknessHall) ∧ UsedFor(x, lecture) → BookedDuring(x, day)) ∀x (ClassroomIn(x, williamLHarknessHall) ∧ ¬PrivateStudySpot(x)) ∀x (ClassroomIn(x, williamLHarknessHall) ∧ (UsedFor(x, lecture) ∨ UsedFor(x, officeHours))) ∀x (ClassroomIn(x, williamLHarknessHall) ∧ BookedIn(x, evening) → ¬FreelyUsableAtNight(x)) ∀x (ClassroomIn(x, williamLHarknessHall) ∧ UsedFor(x, officeHours) → BookedIn(x, evening)) ClassroomIn(116, williamLHarknessHall) ∧ ¬(UsedFor(116, lecture) ⊕ UsedFor(116, officeHours))","PrivateStudySpot(room116) ¬(BookedDuring(room116, day) ⊕ FreelyUsableAtNight(room116) → (UsedFor(room116, officeHour) ⊕ PrivateStudySpot(room116)) ¬(PrivateStudySpot(room116) ∧ FreelyUsableAtNight(room116)) → (UsedFor(room116, lecture) ∨ BookedIn(room116, evening))","['Not(PrivateStudySpot(room116))\n└── Not(PrivateStudySpot($x16))\n', 'Not found', 'Implies(Not(And(PrivateStudySpot(room116),FreelyUsableAtNight(room116))),Or(UsedFor(room116,lecture),BookedIn(room116,evening)))\n├── Or(Or(BookedIn(room116,evening),FreelyUsableAtNight(room116)),UsedFor(room116,lecture))\n│ └── Or(BookedIn($x19,evening),UsedFor($x19,lecture))\n│ ├── Or(BookedIn($x115,evening),Not(UsedFor($x115,officeHours)))\n│ │ ├── ClassroomIn($x16,williamLHarknessHall)\n│ │ └── Or(Or(BookedIn($x115,evening),Not(ClassroomIn($x115,williamLHarknessHall))),Not(UsedFor($x115,officeHours)))\n│ └── Or(UsedFor($x19,lecture),UsedFor($x19,officeHours))\n└── Or(Or(BookedIn(room116,evening),PrivateStudySpot(room116)),UsedFor(room116,lecture))\n └── Or(BookedIn($x19,evening),UsedFor($x19,lecture))\n ├── Or(BookedIn($x115,evening),Not(UsedFor($x115,officeHours)))\n │ ├── ClassroomIn($x16,williamLHarknessHall)\n │ └── Or(Or(BookedIn($x115,evening),Not(ClassroomIn($x115,williamLHarknessHall))),Not(UsedFor($x115,officeHours)))\n └── Or(UsedFor($x19,lecture),UsedFor($x19,officeHours))\n']" 422,"All customers in James' family who subscribe to AMC A-List are eligible to watch three movies every week without any additional fees. Some of the customers in James' family go to the cinema every week. Customers in James' family subscribe to AMC A-List or HBO service. Customers in James' family who prefer TV series will not watch TV series in cinemas. All customers in James' family who subscribe to HBO services prefer TV series to movies. Lily is in James' family; she watches TV series in cinemas. ","Lily goes to cinemas every week. Lily does not go to cinemas every week. Lily goes to cinemas every week or watches 3 movies every week without any additional fees. If Lily does not both go to cinemas every week and subscribe to HBO service, then Lily is either available to watch 3 movies every week without any additional fees or she prefers TV more. If Lily is available to watch 3 movies every week without any additional fees and she watches TV series in cinemas, then she goes to cinemas every week and prefers TV series more.","U U T T F","∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, aMCAList)) → EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(x)) ∃x ∃y (Customer(x) ∧ In(x, jameSFamily) ∧ GoToEveryWeek(x, cinema) ∧ (¬(x=y)) ∧ Customer(y) ∧ In(y, jameSFamily) ∧ GoToEveryWeek(y, cinema)) ∀x (Customer(x) ∧ In(x, jameSFamily) ∧ (SubscribedTo(x, aMCAList) ∨ SubscribedTo(x, hBO))) ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ Prefer(x, tVSeries)) → (¬WatchIn(x, tV, cinema))) ∀x ((Customer(x) ∧ In(x, jameSFamily) ∧ SubscribedTo(x, hBO)) → Prefer(x, tVSeries)) Customer(lily) ∧ In(lily, jameSFamily ∧ WatchIn(lily, tV, cinema)","GoToEveryWeek(lily, cinema) ¬GoToEveryWeek(lily, cinema) GoToEveryWeek(lily, cinema) ∨ EligibleForThreeFreeMoviesWithoutAdditionalFees(lily) (GoToEveryWeek(lily, cinema) ∧ SubscribedTo(lily, hBO)) → (EligibleForThreeFreeMoviesEveryWeek(lily) ⊕ Prefer(lily, tVSeries)) (EligibleForThreeFreeMoviesEveryWeekWithoutAdditionalFees(lily) ∧ WatchIn(lily, tV, cinema)) → (GoToEveryWeek(lily, cinema) ∧ Prefer(lily, tVSeries))","['Not found', 'Not found', 'Not found', 'Implies(And(GoToEveryWeek(lily,cinema),SubscribedTo(lily,hBO)),And(Or(EligibleForThreeFreeMoviesEveryWeek(lily),Prefer(lily,tVSeries)),Not(And(EligibleForThreeFreeMoviesEveryWeek(lily),Prefer(lily,tVSeries)))))\n├── Or(Or(Or(EligibleForThreeFreeMoviesEveryWeek(lily),Not(GoToEveryWeek(lily,cinema))),Not(SubscribedTo(lily,hBO))),Prefer(lily,tVSeries))\n│ └── Or(Not(SubscribedTo($x115,hBO)),Prefer($x115,tVSeries))\n│ ├── In($x19,jameSFamily)\n│ └── Or(Or(Not(In($x115,jameSFamily)),Not(SubscribedTo($x115,hBO))),Prefer($x115,tVSeries))\n│ ├── Customer($x19)\n│ └── Or(Or(Or(Not(Customer($x115)),Not(In($x115,jameSFamily))),Not(SubscribedTo($x115,hBO))),Prefer($x115,tVSeries))\n└── Or(Or(Or(Not(EligibleForThreeFreeMoviesEveryWeek(lily)),Not(GoToEveryWeek(lily,cinema))),Not(Prefer(lily,tVSeries))),Not(SubscribedTo(lily,hBO)))\n └── Not(Prefer(lily,tVSeries))\n ├── In($x19,jameSFamily)\n └── Or(Not(In(lily,jameSFamily)),Not(Prefer(lily,tVSeries)))\n ├── Customer($x19)\n └── Or(Or(Not(Customer(lily)),Not(In(lily,jameSFamily))),Not(Prefer(lily,tVSeries)))\n ├── Or(Or(Or(Not(Customer($x112)),Not(In($x112,jameSFamily))),Not(Prefer($x112,tVSeries))),Not(WatchIn($x112,tV,cinema)))\n └── WatchIn(lily,tV,cinema)\n', 'Not found']" 304,"If a paper is accepted as oral at ICLR, then it needs to be presented offline at ICLR. If a paper needs to be presented offline at ICLR, then the paper is not rejected by the ICLR committee. All papers selected as best paper candidates at ICLR have been accepted as oral. Some survey papers are selected to be the best paper candidates at ICLR. The paper named “Analytic-DPM” is selected to be the best paper candidate at ICLR.","The paper named “Analytic-DPM” is a survey paper at ICLR. If the paper named “Analytic-DPM” is selected as the best candidate, then it is a survey paper and rejected by the committee. If the paper named “Analytic-DPM” is either a survey paper or needs to be presented offline at ICLR, then the paper is not rejected by the committee.","U F T","∀x (Paper(x) ∧ AcceptedAs(x, oral) → PresentedOfflineAt(x, iCLR)) ∀x (Paper(x) ∧ PresentedOfflineAt(x, iCLR) → ¬Rejected(x)) ∀x (Paper(x) ∧ BestPaperCandidate(x) → AcceptedAs(x, oral)) ∃x (Paper(x) ∧ Survey(x) ∧ BestPaperCandidate(x)) Paper(analytic-DPM) ∧ BestPaperCandidate(analytic-DPM)","Survey(analytic-DPM) BestPaperCandidate(analytic-DPM) → (Survey(analytic-DPM) ∧ Rejected(analytic-DPM) (Survey(analytic-DPM) ⊕ PresentedIn(analytic-DPM, iCLR)) → ¬Rejected(analytic-DPM)","['Not found', 'Not(Implies(BestPaperCandidate(analytic-DPM),Rejected(analytic-DPM)))\n├── BestPaperCandidate(analytic-DPM)\n└── Not(Rejected(analytic-DPM))\n ├── BestPaperCandidate(analytic-DPM)\n └── Or(Not(BestPaperCandidate(analytic-DPM)),Not(Rejected(analytic-DPM)))\n ├── Or(Or(Not(BestPaperCandidate(analytic-DPM)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n │ ├── Or(Or(AcceptedAs($x19,oral),Not(BestPaperCandidate($x19))),Not(Paper($x19)))\n │ └── Or(Or(Not(AcceptedAs(analytic-DPM,oral)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n │ ├── Or(Not(AcceptedAs(analytic-DPM,oral)),PresentedOfflineAt(analytic-DPM,iCLR))\n │ │ ├── Or(Or(Not(AcceptedAs($x13,oral)),Not(Paper($x13))),PresentedOfflineAt($x13,iCLR))\n │ │ └── Paper(analytic-DPM)\n │ └── Or(Or(Not(Paper($x16)),Not(PresentedOfflineAt($x16,iCLR))),Not(Rejected($x16)))\n └── Paper(analytic-DPM)\n', 'Implies(And(Or(Survey(analytic-DPM),PresentedIn(analytic-DPM,iCLR)),Not(And(Survey(analytic-DPM),PresentedIn(analytic-DPM,iCLR)))),Not(Rejected(analytic-DPM)))\n├── Or(Or(Not(PresentedIn(analytic-DPM,iCLR)),Not(Rejected(analytic-DPM))),Survey(analytic-DPM))\n│ └── Not(Rejected(analytic-DPM))\n│ ├── BestPaperCandidate(analytic-DPM)\n│ └── Or(Not(BestPaperCandidate(analytic-DPM)),Not(Rejected(analytic-DPM)))\n│ ├── Or(Or(Not(BestPaperCandidate(analytic-DPM)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n│ │ ├── Or(Or(AcceptedAs($x19,oral),Not(BestPaperCandidate($x19))),Not(Paper($x19)))\n│ │ └── Or(Or(Not(AcceptedAs(analytic-DPM,oral)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n│ │ ├── Or(Not(AcceptedAs(analytic-DPM,oral)),PresentedOfflineAt(analytic-DPM,iCLR))\n│ │ │ ├── Or(Or(Not(AcceptedAs($x13,oral)),Not(Paper($x13))),PresentedOfflineAt($x13,iCLR))\n│ │ │ └── Paper(analytic-DPM)\n│ │ └── Or(Or(Not(Paper($x16)),Not(PresentedOfflineAt($x16,iCLR))),Not(Rejected($x16)))\n│ └── Paper(analytic-DPM)\n└── Or(Or(Not(Rejected(analytic-DPM)),Not(Survey(analytic-DPM))),PresentedIn(analytic-DPM,iCLR))\n └── Not(Rejected(analytic-DPM))\n ├── BestPaperCandidate(analytic-DPM)\n └── Or(Not(BestPaperCandidate(analytic-DPM)),Not(Rejected(analytic-DPM)))\n ├── Or(Or(Not(BestPaperCandidate(analytic-DPM)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n │ ├── Or(Or(AcceptedAs($x19,oral),Not(BestPaperCandidate($x19))),Not(Paper($x19)))\n │ └── Or(Or(Not(AcceptedAs(analytic-DPM,oral)),Not(Paper(analytic-DPM))),Not(Rejected(analytic-DPM)))\n │ ├── Or(Not(AcceptedAs(analytic-DPM,oral)),PresentedOfflineAt(analytic-DPM,iCLR))\n │ │ ├── Or(Or(Not(AcceptedAs($x13,oral)),Not(Paper($x13))),PresentedOfflineAt($x13,iCLR))\n │ │ └── Paper(analytic-DPM)\n │ └── Or(Or(Not(Paper($x16)),Not(PresentedOfflineAt($x16,iCLR))),Not(Rejected($x16)))\n └── Paper(analytic-DPM)\n']"