yuansui/folio huggingface dataset:
Premises:
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.

Premises in first-order logic:
∀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)

Conclusions:
Stephen Curry is an NBA player.
Stephen Curry is a centerback player.
Stephen Curry is not a centerback player.

Conclusions in first-order logic:
NBAPlayer(stephenCurry)
ProfessionalCenterback(stephenCurry)
¬ProfessionalCenterback(stephenCurry)

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T
Premises:
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.

Premises in first-order logic:
∀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))

Conclusions:
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.

Conclusions in first-order logic:
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)

Truth value of each conclusion (T = true, F = false, U = unknown):
T
F
T
F
U
Premises:
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.

Premises in first-order logic:
∀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)

Conclusions:
The fabric bundle is perfect.
The fabric bundle is a skirt.
The fabric bundle is not a skirt.

Conclusions in first-order logic:
Perfect(fabricbundle)
Skirt(fabricbundle)
¬Skirt(fabricbundle)

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T
Premises:
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. 

Premises in first-order logic:
∀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)

Conclusions:
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.

Conclusions in first-order logic:
LegalObligation(harvardWeeklyBookClub)
LegalObligation(harvardWeeklyBookClub) ∧ PrivateCompany(harvardWeeklyBookClub)
PrivateCompany(harvardWeeklyBookClub) → LegalObligation(harvardWeeklyBookClub) ⊕ CreatedUnderLaw(harvardWeeklyBookClub)

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T
Premises:
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.

Premises in first-order logic:
∃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)

Conclusions:
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.

Conclusions in first-order logic:
∀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))

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T
Premises:
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. 

Premises in first-order logic:
∀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)

Conclusions:
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.

Conclusions in first-order logic:
Cat(ron)
Penguin(henry) ⊕ Endothermic(henry)
¬(Penguin(ron) ⊕ Endothermic(henry))

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T
Premises:
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.

Premises in first-order logic:
∀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))

Conclusions:
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.

Conclusions in first-order logic:
PrivateStudySpot(room116)
¬(BookedDuring(room116, day) ⊕ FreelyUsableAtNight(room116) → (UsedFor(room116, officeHour) ⊕ PrivateStudySpot(room116))
¬(PrivateStudySpot(room116) ∧ FreelyUsableAtNight(room116)) → (UsedFor(room116, lecture) ∨ BookedIn(room116, evening))

Truth value of each conclusion (T = true, F = false, U = unknown):
F
T
F
Premises:
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. 

Premises in first-order logic:
∀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)

Conclusions:
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.

Conclusions in first-order logic:
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))

Truth value of each conclusion (T = true, F = false, U = unknown):
U
U
T
T
F
Premises:
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.

Premises in first-order logic:
∀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)

Conclusions:
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.

Conclusions in first-order logic:
Survey(analytic-DPM)
BestPaperCandidate(analytic-DPM) → (Survey(analytic-DPM) ∧ Rejected(analytic-DPM) 
(Survey(analytic-DPM) ⊕ PresentedIn(analytic-DPM, iCLR)) → ¬Rejected(analytic-DPM)

Truth value of each conclusion (T = true, F = false, U = unknown):
U
F
T