story_id int64 1 486 | premises stringlengths 42 1.13k | premises-FOL stringlengths 42 1.43k | conclusion stringlengths 13 378 | conclusion-FOL stringlengths 8 340 | label stringclasses 3
values | example_id int64 3 1.43k | premises-CLIF stringlengths 54 1.68k | conclusion-CLIF stringlengths 8 367 | premises-CLINGO stringlengths 47 1.52k | conclusion-CLINGO stringlengths 8 345 | premises-CGIF stringlengths 60 1.6k | conclusion-CGIF stringlengths 12 369 | premises-MINIFOL2 stringlengths 46 1.47k | conclusion-MINIFOL2 stringlengths 8 341 | premises-TFLPLUS stringlengths 15 299 | conclusion-TFLPLUS stringlengths 5 109 | syllogism stringlengths 57 1.5k | sef stringclasses 4
values | premises-MINIFOL stringlengths 46 1.47k | conclusion-MINIFOL stringlengths 8 341 | premises-MINIFOL3 stringlengths 46 1.51k | conclusion-MINIFOL3 stringlengths 8 345 | premises-MINIFOL4 stringlengths 46 1.47k | conclusion-MINIFOL4 stringlengths 8 341 | Premises - FOL stringlengths 2.42k 66.2k | Conclusions - FOL stringlengths 653 14.9k | Premises - CLIF stringlengths 2.43k 68.8k | Conclusions - CLIF stringlengths 652 14.9k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
36 | Tyga is a rapper.
Rappers release rap albums.
Tyga released the Well Done 3 album.
Rappers are not opera singers. | IsRapper(tyga)
∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y))
ReleasedAlbum(tyga, wellDone3)
∀x (IsRapper(x) → ¬IsOperaSinger(x)) | Well Done 3 is worth listening to. | IsWorthListening(wellDone3) | Uncertain | 106 | israpper(tyga)
forall x forall y ((israpper(x) and releasedalbum(x, y)) implies israpalbum(y))
releasedalbum(tyga, welldone3)
forall x (israpper(x) implies not isoperasinger(x)) | isworthlistening(welldone3) | israpper(tyga)
forall forall ((israpper(x) , releasedalbum(x, y)) -: israpalbum(y))
releasedalbum(tyga, welldone3)
forall (israpper(x) -: notisoperasinger(x)) | isworthlistening(welldone3) | [israpper[(tyga)]
@every *x @every *y [([(israpper[(?x)] releasedalbum[(?x y)])] israpalbum[(?y)])]
releasedalbum[(tyga welldone3)]
@every *x [(israpper[(?x)] ~isoperasinger[(?x)])]] | [isworthlistening[(welldone3)]] | israpper(tyga)
all:x all:y ((israpper(x) & releasedalbum(x, y)) :- israpalbum(y))
releasedalbum(tyga, welldone3)
all:x (israpper(x) :- ~isoperasinger(x)) | isworthlistening(welldone3) | +I2(+t2)
--((+I0++R0)-+I0)
+R2
-(+I0--+I0)
| +I2(+w2)
| IsRapper(tyga)
∀x ∀y ((IsRapper(x) ∧ ReleasedAlbum(x, y)) → IsRapAlbum(y))
ReleasedAlbum(tyga, wellDone3)
∀x (IsRapper(x) → ¬IsOperaSinger(x))IsWorthListening(wellDone3) | complex | israpper(tyga)
all:x all:y ((israpper(x) & releasedalbum(x, y)) :- israpalbum(y))
releasedalbum(tyga, welldone3)
all:x (israpper(x) :- ~isoperasinger(x)) | isworthlistening(welldone3) | israpper(tyga)
all:x all:y ((israpper(x) & releasedalbum(x, y)) :- israpalbum(y))
releasedalbum(tyga, welldone3)
all:x (israpper(x) :- notisoperasinger(x)) | isworthlistening(welldone3) | israpper(tyga)
all:x all:y ((israpper(x) , releasedalbum(x, y)) :- israpalbum(y))
releasedalbum(tyga, welldone3)
all:x (israpper(x) :- ~isoperasinger(x)) | isworthlistening(welldone3) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'I'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'R'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'I'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'W'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER'... |
376 | All people in this tech company who are consistent and enjoy sticking to their regular routines do not like surprises.
People in this tech company who wear the same flannel shirts every day are consistent and enjoy sticking to their regular routines.
People in this tech company who do not like shopping for clothes we... | ∀x (InThisTechCompany(x) ∧ Consistent(x) ∧ StickTo(x, theirRegularRoutine) → ¬Like(x, surprise))
∀x (InThisTechCompany(x) ∧ ∃y (flannelShirt(y) ∧ WearEveryday(x, y)) → Consistent(x) ∧ StickTo(x, theirRegularRoutine))
∀x (InThisTechCompany(x) ∧ ¬LikeShoppingFor(x, clothes) → ∃y (flannelShirt(y) ∧ WearEveryday(x, y)))
... | Mike is an old person living in a stable home. | Old(mike) ∧ LiveIn(mike, stableHome) | Uncertain | 1,002 | forall x (inthistechcompany(x) and consistent(x) and stickto(x, theirregularroutine) implies not like(x, surprise))
forall x (inthistechcompany(x) and exists y (flannelshirt(y) and weareveryday(x, y)) implies consistent(x) and stickto(x, theirregularroutine))
forall x (inthistechcompany(x) and not likeshoppingfor(x, ... | old(mike) and livein(mike, stablehome) | forall (inthistechcompany(x) , consistent(x) , stickto(x, theirregularroutine) -: notlike(x, surprise))
forall (inthistechcompany(x) , (flannelshirt(y) , weareveryday(x, y)) -: consistent(x) , stickto(x, theirregularroutine))
forall (inthistechcompany(x) , notlikeshoppingfor(x, clothes) -: (flannelshirt(y) , wearev... | old(mike) , livein(mike, stablehome) | [@every *x [(inthistechcompany[(?x)] consistent[(?x)] stickto[(?x theirregularroutine)] ~like[(?x surprise)])]
@every *x [(inthistechcompany[(?x)] *y [(flannelshirt[(?y)] weareveryday[(?x y)])] consistent[(?x)] stickto[(?x theirregularroutine)])]
@every *x [(inthistechcompany[(?x)] ~likeshoppingfor[(?x c... | [old[(mike)] livein[(mike stablehome)]] | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) & y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & ~likeshoppingfor(x, clothes) :- y (flannelshirt(y) & weareveryda... | old(mike) & livein(mike, stablehome) | -(+I0++C0++S0--+L0)
-(+I0++(+f1++W1)-+C1++S1)
-(+I0+-+L0-+(+f1++W1))
-(+I0++O0++L0--+L0)
-(+I0++H0++I0--+L0)
+I2(+m2)
-(+(+f1++W1)++H1++I1(+m1))-(+C1(+m1)++S1)--+L1
| +O2(+m2)++L2
| ∀x (InThisTechCompany(x) ∧ Consistent(x) ∧ StickTo(x, theirRegularRoutine) → ¬Like(x, surprise))
∀x (InThisTechCompany(x) ∧ ∃y (flannelShirt(y) ∧ WearEveryday(x, y)) → Consistent(x) ∧ StickTo(x, theirRegularRoutine))
∀x (InThisTechCompany(x) ∧ ¬LikeShoppingFor(x, clothes) → ∃y (flannelShirt(y) ∧ WearEveryday(x, y)))
... | disjunctive | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) & some:y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & ~likeshoppingfor(x, clothes) :- some:y (flannelshirt(y) & w... | old(mike) & livein(mike, stablehome) | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- notlike(x, surprise))
all:x (inthistechcompany(x) & some:y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & notlikeshoppingfor(x, clothes) :- some:y (flannelshirt(y)... | old(mike) & livein(mike, stablehome) | all:x (inthistechcompany(x) , consistent(x) , stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) , some:y (flannelshirt(y) , weareveryday(x, y)) :- consistent(x) , stickto(x, theirregularroutine))
all:x (inthistechcompany(x) , ~likeshoppingfor(x, clothes) :- some:y (flannelshirt(y) , w... | old(mike) , livein(mike, stablehome) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'O'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'o'}, {'... |
408 | No trick-shot artist in Yale's varsity team struggles with half court shots.
Everyone on Yale's varsity team is someone who struggles with half court shots or who successfully shoots a high percentage of 3-pointers.
Everyone on Yale's varsity team who successfully shoots a high percentage of 3-pointers is solid at ... | ∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot))
∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes)))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot))
In(jack... | Jack is solid at shooting 2-pointers or bad at mid-range shots. | GoodAt(jack, twos) ∨ BadAt(jack, midRangeShot) | True | 1,135 | forall x ((in(x, yalesvarsityteam) and trickshotartist(x)) implies not struggleat(x, halfcourtshot))
forall x (in(x, yalesvarsityteam) implies (struggleat(x, halfcourtshot) or goodat(x, threes)))
forall x ((in(x, yalesvarsityteam) and goodat(x, threes)) implies goodat(x, twos))
forall x ((in(x, yalesvarsityteam) and... | goodat(jack, twos) or badat(jack, midrangeshot) | forall ((in(x, yalesvarsityteam) , trickshotartist(x)) -: notstruggleat(x, halfcourtshot))
forall (in(x, yalesvarsityteam) -: (struggleat(x, halfcourtshot) | goodat(x, threes)))
forall ((in(x, yalesvarsityteam) , goodat(x, threes)) -: goodat(x, twos))
forall ((in(x, yalesvarsityteam) , goodat(x, twos)) -: badat(x, m... | goodat(jack, twos) | badat(jack, midrangeshot) | [@every *x [([(in[(?x yalesvarsityteam)] trickshotartist[(?x)])] ~struggleat[(?x halfcourtshot)])]
@every *x [(in[(?x yalesvarsityteam)] [(struggleat[(?x halfcourtshot)] goodat[(?x threes)])])]
@every *x [([(in[(?x yalesvarsityteam)] goodat[(?x threes)])] goodat[(?x twos)])]
@every *x [([(in[(?x yales... | [goodat[(jack twos)] badat[(jack midrangeshot)]] | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midrang... | goodat(jack, twos) | badat(jack, midrangeshot) | -((+I0++T0)--+S0)
-(+I0-(+S0-+G0))
-((+I0++G0)-+G0)
-((+I0++G0)-+B0)
+I2+(+T2(+j2)-+G2)
| +G2-+B2
| ∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot))
∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes)))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot))
In(jack... | disjunctive | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midrang... | goodat(jack, twos) | badat(jack, midrangeshot) | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- notstruggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midra... | goodat(jack, twos) | badat(jack, midrangeshot) | all:x ((in(x, yalesvarsityteam) , trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) , goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) , goodat(x, twos)) :- badat(x, midrang... | goodat(jack, twos) | badat(jack, midrangeshot) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'G'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'g'}, {'... |
78 | Ableton has an office in Germany.
Ableton has an office in the USA.
USA and Germany are different countries.
Any company that has offices in different countries is a multinational company.
Ableton makes music software. | OfficeIn(ableton, germany)
OfficeIn(ableton, unitedStates)
¬SameCountry(germany, unitedStates)
∀x ∀y ∀z (OfficeIn(x, y) ∧ OfficeIn(x, z) ∧ (¬SameCountry(y, z)) → MultinationalCompany(x))
MakesMusicSoftware(ableton) | Ableton makes AI software. | MakesAISoftware(ableton) | Uncertain | 238 | officein(ableton, germany)
officein(ableton, unitedstates)
not samecountry(germany, unitedstates)
forall x forall y forall z (officein(x, y) and officein(x, z) and (not samecountry(y, z)) implies multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | officein(ableton, germany)
officein(ableton, unitedstates)
notsamecountry(germany, unitedstates)
forall forall forall (officein(x, y) , officein(x, z) , (notsamecountry(y, z)) -: multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | [officein[(ableton germany)]
officein[(ableton unitedstates)]
~samecountry[(germany unitedstates)]
@every *x @every *y @every *z [(officein[(?x y)] officein[(?x z)] [(~samecountry[(?y z)])] multinationalcompany[(?x)])]
makesmusicsoftware[(ableton)]] | [makesaisoftware[(ableton)]] | officein(ableton, germany)
officein(ableton, unitedstates)
~samecountry(germany, unitedstates)
all:x all:y all:z (officein(x, y) & officein(x, z) & (~samecountry(y, z)) :- multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | +O2
+O2
-+S2
---(+O0++O0+(-+S0)-+M0)
+M2(+a2)
| +M2(+a2)
| OfficeIn(ableton, germany)
OfficeIn(ableton, unitedStates)
¬SameCountry(germany, unitedStates)
∀x ∀y ∀z (OfficeIn(x, y) ∧ OfficeIn(x, z) ∧ (¬SameCountry(y, z)) → MultinationalCompany(x))
MakesMusicSoftware(ableton)MakesAISoftware(ableton) | complex | officein(ableton, germany)
officein(ableton, unitedstates)
~samecountry(germany, unitedstates)
all:x all:y all:z (officein(x, y) & officein(x, z) & (~samecountry(y, z)) :- multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | officein(ableton, germany)
officein(ableton, unitedstates)
notsamecountry(germany, unitedstates)
all:x all:y all:z (officein(x, y) & officein(x, z) & (notsamecountry(y, z)) :- multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | officein(ableton, germany)
officein(ableton, unitedstates)
~samecountry(germany, unitedstates)
all:x all:y all:z (officein(x, y) , officein(x, z) , (~samecountry(y, z)) :- multinationalcompany(x))
makesmusicsoftware(ableton) | makesaisoftware(ableton) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'O'}, {'type': 'LETTER', 'text': 'f'}, {'type': 'LETTER', 'text': 'f'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'M'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'f'}, {'type': 'LETTER', 'text': 'f'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'm'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER'... |
345 | All kids are young.
All toddlers are kids.
If someone is young, then they are not elderly.
All pirates are seafarers.
If Nancy is not a pirate, then Nancy is young.
If Nancy is not a toddler, then Nancy is a seafarer. | ∀x (Kid(x) → Young(x))
∀x (Toddler(x) → Kid(x))
∀x (Young(x) → ¬Elderly(x))
∀x (Pirate(x) → Seafarer(x))
¬Pirate(nancy) → Young(nancy)
¬Toddler(nancy) → Seafarer(nancy) | Nancy is either both a pirate and a toddler, or neither a pirate nor a toddler. | ¬(Pirate(nancy) ⊕ Toddler(nancy)) | False | 911 | forall x (kid(x) implies young(x))
forall x (toddler(x) implies kid(x))
forall x (young(x) implies not elderly(x))
forall x (pirate(x) implies seafarer(x))
not pirate(nancy) implies young(nancy)
not toddler(nancy) implies seafarer(nancy) | not (pirate(nancy) xor toddler(nancy)) | forall (kid(x) -: young(x))
forall (toddler(x) -: kid(x))
forall (young(x) -: notelderly(x))
forall (pirate(x) -: seafarer(x))
notpirate(nancy) -: young(nancy)
nottoddler(nancy) -: seafarer(nancy) | not(pirate(nancy) ^ toddler(nancy)) | [@every *x [(kid[(?x)] young[(?x)])]
@every *x [(toddler[(?x)] kid[(?x)])]
@every *x [(young[(?x)] ~elderly[(?x)])]
@every *x [(pirate[(?x)] seafarer[(?x)])]
~pirate[(nancy)] young[(nancy)]
~toddler[(nancy)] seafarer[(nancy)]] | ~[[(pirate[(nancy)] toddler[(nancy)])]] | all:x (kid(x) :- young(x))
all:x (toddler(x) :- kid(x))
all:x (young(x) :- ~elderly(x))
all:x (pirate(x) :- seafarer(x))
~pirate(nancy) :- young(nancy)
~toddler(nancy) :- seafarer(nancy) | ~(pirate(nancy) ^ toddler(nancy)) | -(+K0-+Y0)
-(+T0-+K0)
-(+Y0--+E0)
-(+P0-+S0)
-+P2(+n2)-+Y2(+n2)
-+T2(+n2)-+S2(+n2)
| -(+P2(+n2)-+T2(+n2))
| ∀x (Kid(x) → Young(x))
∀x (Toddler(x) → Kid(x))
∀x (Young(x) → ¬Elderly(x))
∀x (Pirate(x) → Seafarer(x))
¬Pirate(nancy) → Young(nancy)
¬Toddler(nancy) → Seafarer(nancy)¬(Pirate(nancy) ⊕ Toddler(nancy)) | disjunctive | all:x (kid(x) :- young(x))
all:x (toddler(x) :- kid(x))
all:x (young(x) :- ~elderly(x))
all:x (pirate(x) :- seafarer(x))
~pirate(nancy) :- young(nancy)
~toddler(nancy) :- seafarer(nancy) | ~(pirate(nancy) ^ toddler(nancy)) | all:x (kid(x) :- young(x))
all:x (toddler(x) :- kid(x))
all:x (young(x) :- notelderly(x))
all:x (pirate(x) :- seafarer(x))
notpirate(nancy) :- young(nancy)
nottoddler(nancy) :- seafarer(nancy) | not(pirate(nancy) ^ toddler(nancy)) | all:x (kid(x) :- young(x))
all:x (toddler(x) :- kid(x))
all:x (young(x) :- ~elderly(x))
all:x (pirate(x) :- seafarer(x))
~pirate(nancy) :- young(nancy)
~toddler(nancy) :- seafarer(nancy) | ~(pirate(nancy) ^ toddler(nancy)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'atomicproposition', 'childre... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children':... |
427 | If a person pays their taxes, then they contribute to the country.
Everyone who works for a government department pays a tax on their salary.
Everyone in the army is an employee of a government department.
Everyone convicted of murder goes to prison.
Everyone who has been to prison has a criminal record.
James ... | ∀x (Taxpayer(x) → ContributeTo(x, country))
∀x (WorkFor(x, governmentAgency) → Taxpayer(x))
∀x (ServesIn(x, theArmy) → WorkFor(x, governmentAgency))
∀x (SentencedForMurder(x) → Imprisoned(x))
∀x (Imprisoned((x) → Has(x, criminalRecord))
SentencedForMurder(james) ⊕ Imprisoned(james)
Has(james, criminalRecord) ⊕ Ta... | James contributes to the country. | ContributeToCountry(james) | Uncertain | 1,211 | forall x (taxpayer(x) implies contributeto(x, country))
forall x (workfor(x, governmentagency) implies taxpayer(x))
forall x (servesin(x, thearmy) implies workfor(x, governmentagency))
forall x (sentencedformurder(x) implies imprisoned(x))
forall x (imprisoned((x) implies has(x, criminalrecord))
sentencedformurder... | contributetocountry(james) | forall (taxpayer(x) -: contributeto(x, country))
forall (workfor(x, governmentagency) -: taxpayer(x))
forall (servesin(x, thearmy) -: workfor(x, governmentagency))
forall (sentencedformurder(x) -: imprisoned(x))
forall (imprisoned((x) -: has(x, criminalrecord))
sentencedformurder(james) ^ imprisoned(james)
has(ja... | contributetocountry(james) | [@every *x [(taxpayer[(?x)] contributeto[(?x country)])]
@every *x [(workfor[(?x governmentagency)] taxpayer[(?x)])]
@every *x [(servesin[(?x thearmy)] workfor[(?x governmentagency)])]
@every *x [(sentencedformurder[(?x)] imprisoned[(?x)])]
@every *x [(imprisoned[([(?x)] has[(?x criminalrecord)])]
senten... | [contributetocountry[(james)]] | all:x (taxpayer(x) :- contributeto(x, country))
all:x (workfor(x, governmentagency) :- taxpayer(x))
all:x (servesin(x, thearmy) :- workfor(x, governmentagency))
all:x (sentencedformurder(x) :- imprisoned(x))
all:x (imprisoned((x) :- has(x, criminalrecord))
sentencedformurder(james) ^ imprisoned(james)
has(james, ... | contributetocountry(james) | -(+T0-+C0)
-(+W0-+T0)
-(+S0-+W0)
-(+S0-+I0)
-(+I0(-+H0)
+S2(+j2)-+I2(+j2)
+H2-+T2(+j2)
| +C2(+j2)
| ∀x (Taxpayer(x) → ContributeTo(x, country))
∀x (WorkFor(x, governmentAgency) → Taxpayer(x))
∀x (ServesIn(x, theArmy) → WorkFor(x, governmentAgency))
∀x (SentencedForMurder(x) → Imprisoned(x))
∀x (Imprisoned((x) → Has(x, criminalRecord))
SentencedForMurder(james) ⊕ Imprisoned(james)
Has(james, criminalRecord) ⊕ T... | disjunctive | all:x (taxpayer(x) :- contributeto(x, country))
all:x (workfor(x, governmentagency) :- taxpayer(x))
all:x (servesin(x, thearmy) :- workfor(x, governmentagency))
all:x (sentencedformurder(x) :- imprisoned(x))
all:x (imprisoned((x) :- has(x, criminalrecord))
sentencedformurder(james) ^ imprisoned(james)
has(james,... | contributetocountry(james) | all:x (taxpayer(x) :- contributeto(x, country))
all:x (workfor(x, governmentagency) :- taxpayer(x))
all:x (servesin(x, thearmy) :- workfor(x, governmentagency))
all:x (sentencedformurder(x) :- imprisoned(x))
all:x (imprisoned((x) :- has(x, criminalrecord))
sentencedformurder(james) ^ imprisoned(james)
has(james,... | contributetocountry(james) | all:x (taxpayer(x) :- contributeto(x, country))
all:x (workfor(x, governmentagency) :- taxpayer(x))
all:x (servesin(x, thearmy) :- workfor(x, governmentagency))
all:x (sentencedformurder(x) :- imprisoned(x))
all:x (imprisoned((x) :- has(x, criminalrecord))
sentencedformurder(james) ^ imprisoned(james)
has(james,... | contributetocountry(james) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'C'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'c'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... |
123 | Businesses are either sanctioned or unsanctioned.
Sanctioned businesses are limited.
Unsanctioned businesses are free.
The Crude Oil Data Exchange is a business that isn't free. | ∀x (Buisness(x) → Sanctioned(x) ⊕ ¬Sanctioned(x))
∀x (Buisness(x) ∧ Sanctioned(x) → Limited(x))
∀x (Buisness(x) ∧ ¬Sanctioned(x) → Free(x))
Buisness(crudeOilDataExchange) ∧ ¬Free(crudeOilDataExchange) | Crude Oil Data Exchange is limited. | Limited(crudeOilDataExchange) | True | 369 | forall x (buisness(x) implies sanctioned(x) xor not sanctioned(x))
forall x (buisness(x) and sanctioned(x) implies limited(x))
forall x (buisness(x) and not sanctioned(x) implies free(x))
buisness(crudeoildataexchange) and not free(crudeoildataexchange) | limited(crudeoildataexchange) | forall (buisness(x) -: sanctioned(x) ^ notsanctioned(x))
forall (buisness(x) , sanctioned(x) -: limited(x))
forall (buisness(x) , notsanctioned(x) -: free(x))
buisness(crudeoildataexchange) , notfree(crudeoildataexchange) | limited(crudeoildataexchange) | [@every *x [(buisness[(?x)] sanctioned[(?x)] ~sanctioned[(?x)])]
@every *x [(buisness[(?x)] sanctioned[(?x)] limited[(?x)])]
@every *x [(buisness[(?x)] ~sanctioned[(?x)] free[(?x)])]
buisness[(crudeoildataexchange)] ~free[(crudeoildataexchange)]] | [limited[(crudeoildataexchange)]] | all:x (buisness(x) :- sanctioned(x) ^ ~sanctioned(x))
all:x (buisness(x) & sanctioned(x) :- limited(x))
all:x (buisness(x) & ~sanctioned(x) :- free(x))
buisness(crudeoildataexchange) & ~free(crudeoildataexchange) | limited(crudeoildataexchange) | -(+B0-+S0--+S0)
-(+B0++S0-+L0)
-(+B0+-+S0-+F0)
+B2(+c2)+-+F2(+c2)
| +L2(+c2)
| ∀x (Buisness(x) → Sanctioned(x) ⊕ ¬Sanctioned(x))
∀x (Buisness(x) ∧ Sanctioned(x) → Limited(x))
∀x (Buisness(x) ∧ ¬Sanctioned(x) → Free(x))
Buisness(crudeOilDataExchange) ∧ ¬Free(crudeOilDataExchange)Limited(crudeOilDataExchange) | disjunctive | all:x (buisness(x) :- sanctioned(x) ^ ~sanctioned(x))
all:x (buisness(x) & sanctioned(x) :- limited(x))
all:x (buisness(x) & ~sanctioned(x) :- free(x))
buisness(crudeoildataexchange) & ~free(crudeoildataexchange) | limited(crudeoildataexchange) | all:x (buisness(x) :- sanctioned(x) ^ notsanctioned(x))
all:x (buisness(x) & sanctioned(x) :- limited(x))
all:x (buisness(x) & notsanctioned(x) :- free(x))
buisness(crudeoildataexchange) & notfree(crudeoildataexchange) | limited(crudeoildataexchange) | all:x (buisness(x) :- sanctioned(x) ^ ~sanctioned(x))
all:x (buisness(x) , sanctioned(x) :- limited(x))
all:x (buisness(x) , ~sanctioned(x) :- free(x))
buisness(crudeoildataexchange) , ~free(crudeoildataexchange) | limited(crudeoildataexchange) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'L'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'm'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'm'}, {'type': 'LETTER'... |
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 analys... | ∀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))
Mind... | Multivoxel (pattern) analysis is a brain decoding. | MindReading(multivoxelPatternAnalysis) ∧ BrainDecoding(multivoxelPatternAnalysis) | Uncertain | 1,084 | forall x (mindreading(x) and (brainreading(x) xor braindecoding(x)))
forall x ((mindreading(x) and braindecoding(x)) implies extractingfrom(x, information, boldsignals))
forall x ((mindreading(x) and extractingfrom(x, information, boldsignals)) implies uses(x, statisticalpatternanalysis))
forall x (novelwriting(x) i... | mindreading(multivoxelpatternanalysis) and braindecoding(multivoxelpatternanalysis) | forall (mindreading(x) , (brainreading(x) ^ braindecoding(x)))
forall ((mindreading(x) , braindecoding(x)) -: extractingfrom(x, information, boldsignals))
forall ((mindreading(x) , extractingfrom(x, information, boldsignals)) -: uses(x, statisticalpatternanalysis))
forall (novelwriting(x) -: notuses(x, statisticalpa... | mindreading(multivoxelpatternanalysis) , braindecoding(multivoxelpatternanalysis) | [@every *x [(mindreading[(?x)] [(brainreading[(?x)] braindecoding[(?x)])])]
@every *x [([(mindreading[(?x)] braindecoding[(?x)])] extractingfrom[(?x information boldsignals)])]
@every *x [([(mindreading[(?x)] extractingfrom[(?x information boldsignals)])] uses[(?x statisticalpatternanalysis)])]
@every *x ... | [mindreading[(multivoxelpatternanalysis)] braindecoding[(multivoxelpatternanalysis)]] | all:x (mindreading(x) & (brainreading(x) ^ braindecoding(x)))
all:x ((mindreading(x) & braindecoding(x)) :- extractingfrom(x, information, boldsignals))
all:x ((mindreading(x) & extractingfrom(x, information, boldsignals)) :- uses(x, statisticalpatternanalysis))
all:x (novelwriting(x) :- ~uses(x, statisticalpatterna... | mindreading(multivoxelpatternanalysis) & braindecoding(multivoxelpatternanalysis) | -(+M0+(+B0-+B0))
-((+M0++B0)-+E0)
-((+M0++E0)-+U0)
-(+N0--+U0)
+M2(+m2)+(-+U2++B2(+m2))-(-+U2+(-+B2(+m2)))
+M2(+m2)
| +M2(+m2)++B2(+m2)
| ∀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))
Mind... | disjunctive | all:x (mindreading(x) & (brainreading(x) ^ braindecoding(x)))
all:x ((mindreading(x) & braindecoding(x)) :- extractingfrom(x, information, boldsignals))
all:x ((mindreading(x) & extractingfrom(x, information, boldsignals)) :- uses(x, statisticalpatternanalysis))
all:x (novelwriting(x) :- ~uses(x, statisticalpatterna... | mindreading(multivoxelpatternanalysis) & braindecoding(multivoxelpatternanalysis) | all:x (mindreading(x) & (brainreading(x) ^ braindecoding(x)))
all:x ((mindreading(x) & braindecoding(x)) :- extractingfrom(x, information, boldsignals))
all:x ((mindreading(x) & extractingfrom(x, information, boldsignals)) :- uses(x, statisticalpatternanalysis))
all:x (novelwriting(x) :- notuses(x, statisticalpatter... | mindreading(multivoxelpatternanalysis) & braindecoding(multivoxelpatternanalysis) | all:x (mindreading(x) , (brainreading(x) ^ braindecoding(x)))
all:x ((mindreading(x) , braindecoding(x)) :- extractingfrom(x, information, boldsignals))
all:x ((mindreading(x) , extractingfrom(x, information, boldsignals)) :- uses(x, statisticalpatternanalysis))
all:x (novelwriting(x) :- ~uses(x, statisticalpatterna... | mindreading(multivoxelpatternanalysis) , braindecoding(multivoxelpatternanalysis) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'M'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'm'}, {'... |
403 | There's a person in Benji's family who likes eating cheese or is a francophile.
There is no francophile in Benji's family whose favorite country is Spain.
There is a person in Benji's family who likes eating cheese or whose favorite country is Spain.
Fabien is in Benji's family and does not both study Spanish and a... | ∃x (InBenjiSFamily(x) → (LikeEating(x, cheese) ∨ Francophile(x)))
∀x ((InBenjiSFamily(x) ∧ Francophile(x)) → ¬Favor(x, spain))
∃x (InBenjiSFamily(x) ∧ (Favor(x, spain) ∨ LikeEating(x, cheese)))
InBenjiSFamily(fabien) ∧ (¬(LikeEating(fabien, cheese) ∧ Study(fabien, spanish)))
Study(fabien, spanish) | Fabien is a person who likes eating cheese. | LikeEating(fabien, cheese) | Uncertain | 1,117 | exists x (inbenjisfamily(x) implies (likeeating(x, cheese) or francophile(x)))
forall x ((inbenjisfamily(x) and francophile(x)) implies not favor(x, spain))
exists x (inbenjisfamily(x) and (favor(x, spain) or likeeating(x, cheese)))
inbenjisfamily(fabien) and (not (likeeating(fabien, cheese) and study(fabien, spanis... | likeeating(fabien, cheese) | (inbenjisfamily(x) -: (likeeating(x, cheese) | francophile(x)))
forall ((inbenjisfamily(x) , francophile(x)) -: notfavor(x, spain))
(inbenjisfamily(x) , (favor(x, spain) | likeeating(x, cheese)))
inbenjisfamily(fabien) , (not(likeeating(fabien, cheese) , study(fabien, spanish)))
study(fabien, spanish) | likeeating(fabien, cheese) | [*x [(inbenjisfamily[(?x)] [(likeeating[(?x cheese)] francophile[(?x)])])]
@every *x [([(inbenjisfamily[(?x)] francophile[(?x)])] ~favor[(?x spain)])]
*x [(inbenjisfamily[(?x)] [(favor[(?x spain)] likeeating[(?x cheese)])])]
inbenjisfamily[(fabien)] [(~[(likeeating[(fabien cheese)] study[(fabien spanis... | [likeeating[(fabien cheese)]] | x (inbenjisfamily(x) :- (likeeating(x, cheese) | francophile(x)))
all:x ((inbenjisfamily(x) & francophile(x)) :- ~favor(x, spain))
x (inbenjisfamily(x) & (favor(x, spain) | likeeating(x, cheese)))
inbenjisfamily(fabien) & (~(likeeating(fabien, cheese) & study(fabien, spanish)))
study(fabien, spanish) | likeeating(fabien, cheese) | +(+I1-(+L1-+F1))
-((+I0++F0)--+F0)
+(+I1+(+F1-+L1))
+I2(+f2)+(-(+L2++S2))
+S2
| +L2
| ∃x (InBenjiSFamily(x) → (LikeEating(x, cheese) ∨ Francophile(x)))
∀x ((InBenjiSFamily(x) ∧ Francophile(x)) → ¬Favor(x, spain))
∃x (InBenjiSFamily(x) ∧ (Favor(x, spain) ∨ LikeEating(x, cheese)))
InBenjiSFamily(fabien) ∧ (¬(LikeEating(fabien, cheese) ∧ Study(fabien, spanish)))
Study(fabien, spanish)LikeEating(fabien,... | disjunctive | some:x (inbenjisfamily(x) :- (likeeating(x, cheese) | francophile(x)))
all:x ((inbenjisfamily(x) & francophile(x)) :- ~favor(x, spain))
some:x (inbenjisfamily(x) & (favor(x, spain) | likeeating(x, cheese)))
inbenjisfamily(fabien) & (~(likeeating(fabien, cheese) & study(fabien, spanish)))
study(fabien, spanish) | likeeating(fabien, cheese) | some:x (inbenjisfamily(x) :- (likeeating(x, cheese) | francophile(x)))
all:x ((inbenjisfamily(x) & francophile(x)) :- notfavor(x, spain))
some:x (inbenjisfamily(x) & (favor(x, spain) | likeeating(x, cheese)))
inbenjisfamily(fabien) & (not(likeeating(fabien, cheese) & study(fabien, spanish)))
study(fabien, spanish) | likeeating(fabien, cheese) | some:x (inbenjisfamily(x) :- (likeeating(x, cheese) | francophile(x)))
all:x ((inbenjisfamily(x) , francophile(x)) :- ~favor(x, spain))
some:x (inbenjisfamily(x) , (favor(x, spain) | likeeating(x, cheese)))
inbenjisfamily(fabien) , (~(likeeating(fabien, cheese) , study(fabien, spanish)))
study(fabien, spanish) | likeeating(fabien, cheese) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'L'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER'... |
111 | Aberdeen won the cup in the 2013 final.
Rangers won the cup in the 2014 final.
Aberdeen and Rangers are different teams.
Different teams cannot win the cup in the same year's final. | WonCup(aberdeen, year2013Final)
WonCup(rangers, year2014Final)
¬(aberdeen=rangers)
∀x ∀y ∀z ∀w (¬(x=y) ∧ WonCup(x, z) ∧ WonCup(y, w) → ¬(z=w)) | Aberdeen has once won a cup. | ∃x (WonCup(aberdeen, x)) | True | 338 | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
not (aberdeen=rangers)
forall x forall y forall z forall w (not (x=y) and woncup(x, z) and woncup(y, w) implies not (z=w)) | exists x (woncup(aberdeen, x)) | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
not(aberdeen=rangers)
forall forall forall forall (not(x=y) , woncup(x, z) , woncup(y, w) -: not(z=w)) | (woncup(aberdeen, x)) | [woncup[(aberdeen year2013final)]
woncup[(rangers year2014final)]
~[(aberdeen=rangers)]
@every *x @every *y @every *z @every *w [(~[(?x=y)] woncup[(?x z)] woncup[(?y w)] ~[(?z=w)])]] | [*x [(woncup[(aberdeen x)])]] | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
~(aberdeen=rangers)
all:x all:y all:z all:w (~(x=y) & woncup(x, z) & woncup(y, w) :- ~(z=w)) | x (woncup(aberdeen, x)) | +W2
+W2
-(+a2+e2)
----(-(+x0)++W0++W0--(+z0))
| +(+W1)
| WonCup(aberdeen, year2013Final)
WonCup(rangers, year2014Final)
¬(aberdeen=rangers)
∀x ∀y ∀z ∀w (¬(x=y) ∧ WonCup(x, z) ∧ WonCup(y, w) → ¬(z=w))∃x (WonCup(aberdeen, x)) | complex | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
~(aberdeen=rangers)
all:x all:y all:z all:w (~(x=y) & woncup(x, z) & woncup(y, w) :- ~(z=w)) | some:x (woncup(aberdeen, x)) | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
not(aberdeen=rangers)
all:x all:y all:z all:w (not(x=y) & woncup(x, z) & woncup(y, w) :- not(z=w)) | some:x (woncup(aberdeen, x)) | woncup(aberdeen, year2013final)
woncup(rangers, year2014final)
~(aberdeen=rangers)
all:x all:y all:z all:w (~(x=y) , woncup(x, z) , woncup(y, w) :- ~(z=w)) | some:x (woncup(aberdeen, x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'W'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
376 | All people in this tech company who are consistent and enjoy sticking to their regular routines do not like surprises.
People in this tech company who wear the same flannel shirts every day are consistent and enjoy sticking to their regular routines.
People in this tech company who do not like shopping for clothes we... | ∀x (InThisTechCompany(x) ∧ Consistent(x) ∧ StickTo(x, theirRegularRoutine) → ¬Like(x, surprise))
∀x (InThisTechCompany(x) ∧ ∃y (flannelShirt(y) ∧ WearEveryday(x, y)) → Consistent(x) ∧ StickTo(x, theirRegularRoutine))
∀x (InThisTechCompany(x) ∧ ¬LikeShoppingFor(x, clothes) → ∃y (flannelShirt(y) ∧ WearEveryday(x, y)))
... | If Mike is not an old person living in a stable home and does not like shopping for clothes, then Mike does not like shopping for clothes. | ¬(Old(mike) ∧ LiveIn(mike, stableHome)) ∧ ¬LikeShoppingFor(mike, clothes)) → ¬LikeShoppingFor(mike, clothes) | False | 1,004 | forall x (inthistechcompany(x) and consistent(x) and stickto(x, theirregularroutine) implies not like(x, surprise))
forall x (inthistechcompany(x) and exists y (flannelshirt(y) and weareveryday(x, y)) implies consistent(x) and stickto(x, theirregularroutine))
forall x (inthistechcompany(x) and not likeshoppingfor(x, ... | not (old(mike) and livein(mike, stablehome)) and not likeshoppingfor(mike, clothes)) implies not likeshoppingfor(mike, clothes) | forall (inthistechcompany(x) , consistent(x) , stickto(x, theirregularroutine) -: notlike(x, surprise))
forall (inthistechcompany(x) , (flannelshirt(y) , weareveryday(x, y)) -: consistent(x) , stickto(x, theirregularroutine))
forall (inthistechcompany(x) , notlikeshoppingfor(x, clothes) -: (flannelshirt(y) , wearev... | not(old(mike) , livein(mike, stablehome)) , notlikeshoppingfor(mike, clothes)) -: notlikeshoppingfor(mike, clothes) | [@every *x [(inthistechcompany[(?x)] consistent[(?x)] stickto[(?x theirregularroutine)] ~like[(?x surprise)])]
@every *x [(inthistechcompany[(?x)] *y [(flannelshirt[(?y)] weareveryday[(?x y)])] consistent[(?x)] stickto[(?x theirregularroutine)])]
@every *x [(inthistechcompany[(?x)] ~likeshoppingfor[(?x c... | ~[[(old[(mike)] livein[(mike stablehome)])] ~likeshoppingfor[(mike clothes)])] ~likeshoppingfor[(mike clothes)]] | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) & y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & ~likeshoppingfor(x, clothes) :- y (flannelshirt(y) & weareveryda... | ~(old(mike) & livein(mike, stablehome)) & ~likeshoppingfor(mike, clothes)) :- ~likeshoppingfor(mike, clothes) | -(+I0++C0++S0--+L0)
-(+I0++(+f1++W1)-+C1++S1)
-(+I0+-+L0-+(+f1++W1))
-(+I0++O0++L0--+L0)
-(+I0++H0++I0--+L0)
+I2(+m2)
-(+(+f1++W1)++H1++I1(+m1))-(+C1(+m1)++S1)--+L1
| -(+O2(+m2)++L2)+-+L2)--+L2
| ∀x (InThisTechCompany(x) ∧ Consistent(x) ∧ StickTo(x, theirRegularRoutine) → ¬Like(x, surprise))
∀x (InThisTechCompany(x) ∧ ∃y (flannelShirt(y) ∧ WearEveryday(x, y)) → Consistent(x) ∧ StickTo(x, theirRegularRoutine))
∀x (InThisTechCompany(x) ∧ ¬LikeShoppingFor(x, clothes) → ∃y (flannelShirt(y) ∧ WearEveryday(x, y)))
... | disjunctive | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) & some:y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & ~likeshoppingfor(x, clothes) :- some:y (flannelshirt(y) & w... | ~(old(mike) & livein(mike, stablehome)) & ~likeshoppingfor(mike, clothes)) :- ~likeshoppingfor(mike, clothes) | all:x (inthistechcompany(x) & consistent(x) & stickto(x, theirregularroutine) :- notlike(x, surprise))
all:x (inthistechcompany(x) & some:y (flannelshirt(y) & weareveryday(x, y)) :- consistent(x) & stickto(x, theirregularroutine))
all:x (inthistechcompany(x) & notlikeshoppingfor(x, clothes) :- some:y (flannelshirt(y)... | not(old(mike) & livein(mike, stablehome)) & notlikeshoppingfor(mike, clothes)) :- notlikeshoppingfor(mike, clothes) | all:x (inthistechcompany(x) , consistent(x) , stickto(x, theirregularroutine) :- ~like(x, surprise))
all:x (inthistechcompany(x) , some:y (flannelshirt(y) , weareveryday(x, y)) :- consistent(x) , stickto(x, theirregularroutine))
all:x (inthistechcompany(x) , ~likeshoppingfor(x, clothes) :- some:y (flannelshirt(y) , w... | ~(old(mike) , livein(mike, stablehome)) , ~likeshoppingfor(mike, clothes)) :- ~likeshoppingfor(mike, clothes) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'childr... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'children'... |
29 | Gasteren is a village located in the province of Drenthe.
Drenthe is a Dutch province.
No cities are villages.
The population of a village in Drenthe was 155 people. | Village(gasteren) ∧ Province(drenthe) ∧ In(gasteren, drenthe)
Province(drenthe) ∧ In(drenthe, netherlands)
∀x (City(x) → ¬Village(x))
∃x (Population(x, num155) ∧ Village(x) ∧ In(x, drenthe)) | Gasteren has a population of 155. | Population(gasteren, num155) | Uncertain | 85 | village(gasteren) and province(drenthe) and in(gasteren, drenthe)
province(drenthe) and in(drenthe, netherlands)
forall x (city(x) implies not village(x))
exists x (population(x, num155) and village(x) and in(x, drenthe)) | population(gasteren, num155) | village(gasteren) , province(drenthe) , in(gasteren, drenthe)
province(drenthe) , in(drenthe, netherlands)
forall (city(x) -: notvillage(x))
(population(x, num155) , village(x) , in(x, drenthe)) | population(gasteren, num155) | [village[(gasteren)] province[(drenthe)] in[(gasteren drenthe)]
province[(drenthe)] in[(drenthe netherlands)]
@every *x [(city[(?x)] ~village[(?x)])]
*x [(population[(?x num155)] village[(?x)] in[(?x drenthe)])]] | [population[(gasteren num155)]] | village(gasteren) & province(drenthe) & in(gasteren, drenthe)
province(drenthe) & in(drenthe, netherlands)
all:x (city(x) :- ~village(x))
x (population(x, num155) & village(x) & in(x, drenthe)) | population(gasteren, num155) | +V2(+g2)++P2(+d2)++I2
+P2(+d2)++I2
-(+C0--+V0)
+(+P1++V1++I1)
| +P2
| Village(gasteren) ∧ Province(drenthe) ∧ In(gasteren, drenthe)
Province(drenthe) ∧ In(drenthe, netherlands)
∀x (City(x) → ¬Village(x))
∃x (Population(x, num155) ∧ Village(x) ∧ In(x, drenthe))Population(gasteren, num155) | complex | village(gasteren) & province(drenthe) & in(gasteren, drenthe)
province(drenthe) & in(drenthe, netherlands)
all:x (city(x) :- ~village(x))
some:x (population(x, num155) & village(x) & in(x, drenthe)) | population(gasteren, num155) | village(gasteren) & province(drenthe) & in(gasteren, drenthe)
province(drenthe) & in(drenthe, netherlands)
all:x (city(x) :- notvillage(x))
some:x (population(x, num155) & village(x) & in(x, drenthe)) | population(gasteren, num155) | village(gasteren) , province(drenthe) , in(gasteren, drenthe)
province(drenthe) , in(drenthe, netherlands)
all:x (city(x) :- ~village(x))
some:x (population(x, num155) , village(x) , in(x, drenthe)) | population(gasteren, num155) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... |
187 | European soccer clubs can attend UCL, UEL, and UECL.
A soccer club eligible to attend UCL has a higher ranking than a soccer club eligible to attend UEL.
A soccer club eligible to attend UEL has a higher ranking than a soccer club eligible to attend UECL.
Manchester United and Machester City are both European soccer... | ∀x (EuropeanSoccerClub(x) → Attend(x, ucl) ∨ Attend(x, uel) ∨ Attend(x, uecl))
∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, ucl) ∧ Attend(y, uel) → HigherRank(x, y))
∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, uel) ∧ Attend(y, uecl) → HigherRank(x, y))
EuropeanSoccerClub(manc... | Manchester City has a higher ranking than Manchester United. | HigherRank(manchesterCity, manchesterUnited) | True | 539 | forall x (europeansoccerclub(x) implies attend(x, ucl) or attend(x, uel) or attend(x, uecl))
forall x forall y (europeansoccerclub(x) and europeansoccerclub(y) and attend(x, ucl) and attend(y, uel) implies higherrank(x, y))
forall x forall y (europeansoccerclub(x) and europeansoccerclub(y) and attend(x, uel) and atte... | higherrank(manchestercity, manchesterunited) | forall (europeansoccerclub(x) -: attend(x, ucl) | attend(x, uel) | attend(x, uecl))
forall forall (europeansoccerclub(x) , europeansoccerclub(y) , attend(x, ucl) , attend(y, uel) -: higherrank(x, y))
forall forall (europeansoccerclub(x) , europeansoccerclub(y) , attend(x, uel) , attend(y, uecl) -: higherrank(x, y))
... | higherrank(manchestercity, manchesterunited) | [@every *x [(europeansoccerclub[(?x)] attend[(?x ucl)] attend[(?x uel)] attend[(?x uecl)])]
@every *x @every *y [(europeansoccerclub[(?x)] europeansoccerclub[(?y)] attend[(?x ucl)] attend[(?y uel)] higherrank[(?x y)])]
@every *x @every *y [(europeansoccerclub[(?x)] europeansoccerclub[(?y)] attend[(?x ... | [higherrank[(manchestercity manchesterunited)]] | all:x (europeansoccerclub(x) :- attend(x, ucl) | attend(x, uel) | attend(x, uecl))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, ucl) & attend(y, uel) :- higherrank(x, y))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, uel) & attend(y, uecl) :- higherrank(x, y))
europ... | higherrank(manchestercity, manchesterunited) | -(+E0-+A0-+A0-+A0)
--(+E0++E0++A0++A0-+H0)
--(+E0++E0++A0++A0-+H0)
+E2(+m2)++E2(+m2)
+A2
+A2
| +H2
| ∀x (EuropeanSoccerClub(x) → Attend(x, ucl) ∨ Attend(x, uel) ∨ Attend(x, uecl))
∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, ucl) ∧ Attend(y, uel) → HigherRank(x, y))
∀x ∀y (EuropeanSoccerClub(x) ∧ EuropeanSoccerClub(y) ∧ Attend(x, uel) ∧ Attend(y, uecl) → HigherRank(x, y))
EuropeanSoccerClub(manc... | disjunctive | all:x (europeansoccerclub(x) :- attend(x, ucl) | attend(x, uel) | attend(x, uecl))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, ucl) & attend(y, uel) :- higherrank(x, y))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, uel) & attend(y, uecl) :- higherrank(x, y))
europ... | higherrank(manchestercity, manchesterunited) | all:x (europeansoccerclub(x) :- attend(x, ucl) | attend(x, uel) | attend(x, uecl))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, ucl) & attend(y, uel) :- higherrank(x, y))
all:x all:y (europeansoccerclub(x) & europeansoccerclub(y) & attend(x, uel) & attend(y, uecl) :- higherrank(x, y))
europ... | higherrank(manchestercity, manchesterunited) | all:x (europeansoccerclub(x) :- attend(x, ucl) | attend(x, uel) | attend(x, uecl))
all:x all:y (europeansoccerclub(x) , europeansoccerclub(y) , attend(x, ucl) , attend(y, uel) :- higherrank(x, y))
all:x all:y (europeansoccerclub(x) , europeansoccerclub(y) , attend(x, uel) , attend(y, uecl) :- higherrank(x, y))
europ... | higherrank(manchestercity, manchesterunited) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'H'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'g'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'g'}, {'type': 'LETTER'... |
417 | Some monitors made by LG have a type-c port.
Monitors that have a type-c port were not made before 2010.
All monitors in the library are made before 2010.
The L-2021 monitor is either used in the library or has a type-c port.
The L-2021 monitor is either both produced before 2010 and made by LG, or neither is true... | ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBe... | The L-2021 monitor either has a type-c port or is produced by LG. | Have(l-2021, typeCPort) ⊕ ProducedBy(l-2021, lG) | True | 1,175 | exists x (monitor(x) and producedby(x, lg) and have(x, typecport) and (not (x=y)) and monitor(y) and producedby(y, lg) and have(y, typecport))
forall x (have(x, typecport) implies not producedbefore(x, yr2010))
forall x ((monitor(x) and in(x, library)) implies producedbefore(x, yr2010))
monitor(l-2021) and (in(l-202... | have(l-2021, typecport) xor producedby(l-2021, lg) | (monitor(x) , producedby(x, lg) , have(x, typecport) , (not(x=y)) , monitor(y) , producedby(y, lg) , have(y, typecport))
forall (have(x, typecport) -: notproducedbefore(x, yr2010))
forall ((monitor(x) , in(x, library)) -: producedbefore(x, yr2010))
monitor(l-2021) , (in(l-2021, library) ^ have(l-2021, typecport))
... | have(l-2021, typecport) ^ producedby(l-2021, lg) | [*x [(monitor[(?x)] producedby[(?x lg)] have[(?x typecport)] [(~[(?x=y)])] monitor[(y)] producedby[(y lg)] have[(y typecport)])]
@every *x [(have[(?x typecport)] ~producedbefore[(?x yr2010)])]
@every *x [([(monitor[(?x)] in[(?x library)])] producedbefore[(?x yr2010)])]
monitor[(l-2021)] [(in[(l-202... | [have[(l-2021 typecport)] producedby[(l-2021 lg)]] | x (monitor(x) & producedby(x, lg) & have(x, typecport) & (~(x=y)) & monitor(y) & producedby(y, lg) & have(y, typecport))
all:x (have(x, typecport) :- ~producedbefore(x, yr2010))
all:x ((monitor(x) & in(x, library)) :- producedbefore(x, yr2010))
monitor(l-2021) & (in(l-2021, library) ^ have(l-2021, typecport))
~(pro... | have(l-2021, typecport) ^ producedby(l-2021, lg) | +(+M1++P1++H1+(-(+x1))++M1++P1++H1)
-(+H0--+P0)
-((+M0++I0)-+P0)
+M2(+l2)+(+I2-+H2)
-(+P2-+P2)
| +H2-+P2
| ∃x (Monitor(x) ∧ ProducedBy(x, lG) ∧ Have(x, typeCPort) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, lG) ∧ Have(y, typeCPort))
∀x (Have(x, typeCPort) → ¬ProducedBefore(x, yr2010))
∀x ((Monitor(x) ∧ In(x, library)) → ProducedBefore(x, yr2010))
Monitor(l-2021) ∧ (In(l-2021, library) ⊕ Have(l-2021, typeCPort))
¬(ProducedBe... | disjunctive | some:x (monitor(x) & producedby(x, lg) & have(x, typecport) & (~(x=y)) & monitor(y) & producedby(y, lg) & have(y, typecport))
all:x (have(x, typecport) :- ~producedbefore(x, yr2010))
all:x ((monitor(x) & in(x, library)) :- producedbefore(x, yr2010))
monitor(l-2021) & (in(l-2021, library) ^ have(l-2021, typecport))
... | have(l-2021, typecport) ^ producedby(l-2021, lg) | some:x (monitor(x) & producedby(x, lg) & have(x, typecport) & (not(x=y)) & monitor(y) & producedby(y, lg) & have(y, typecport))
all:x (have(x, typecport) :- notproducedbefore(x, yr2010))
all:x ((monitor(x) & in(x, library)) :- producedbefore(x, yr2010))
monitor(l-2021) & (in(l-2021, library) ^ have(l-2021, typecport... | have(l-2021, typecport) ^ producedby(l-2021, lg) | some:x (monitor(x) , producedby(x, lg) , have(x, typecport) , (~(x=y)) , monitor(y) , producedby(y, lg) , have(y, typecport))
all:x (have(x, typecport) :- ~producedbefore(x, yr2010))
all:x ((monitor(x) , in(x, library)) :- producedbefore(x, yr2010))
monitor(l-2021) , (in(l-2021, library) ^ have(l-2021, typecport))
... | have(l-2021, typecport) ^ producedby(l-2021, lg) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'H'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'h'}, {'... |
146 | Catullus 4 is a poem written by the ancient Roman writer Catullus.
Catullus 4 is a story about the retirement of a well-traveled ship.
There is a strong analogy of human aging in the poem Catullus 4.
Catullus 4 is written in an unusual iambic trimeter to convey a sense of speed over the waves. | Poem(catullus4) ∧ WrittenBy(catullus4, catullus) ∧ AncientRomanWriter(catullus)
Story(catullus4) ∧ About(catullus4, retirementOfAWellTraveledShip)
Poem(catullus4) ∧ StrongAgingAnalogy(catullus4)
Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ Convey(catullus4, aSenseOfSpeedOverTheWaves) | Callus 4 is written in an unusual iambic trimeter to convey a strong analogy of human aging. | Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ StrongAgingAnalogy(catullus4) | True | 429 | poem(catullus4) and writtenby(catullus4, catullus) and ancientromanwriter(catullus)
story(catullus4) and about(catullus4, retirementofawelltraveledship)
poem(catullus4) and strongaginganalogy(catullus4)
poem(catullus4) and writtenin(catullus4, iambictrimeter) and convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) and writtenin(catullus4, iambictrimeter) and strongaginganalogy(catullus4) | poem(catullus4) , writtenby(catullus4, catullus) , ancientromanwriter(catullus)
story(catullus4) , about(catullus4, retirementofawelltraveledship)
poem(catullus4) , strongaginganalogy(catullus4)
poem(catullus4) , writtenin(catullus4, iambictrimeter) , convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) , writtenin(catullus4, iambictrimeter) , strongaginganalogy(catullus4) | [poem[(catullus4)] writtenby[(catullus4 catullus)] ancientromanwriter[(catullus)]
story[(catullus4)] about[(catullus4 retirementofawelltraveledship)]
poem[(catullus4)] strongaginganalogy[(catullus4)]
poem[(catullus4)] writtenin[(catullus4 iambictrimeter)] convey[(catullus4 asenseofspeedoverthewaves)]] | [poem[(catullus4)] writtenin[(catullus4 iambictrimeter)] strongaginganalogy[(catullus4)]] | poem(catullus4) & writtenby(catullus4, catullus) & ancientromanwriter(catullus)
story(catullus4) & about(catullus4, retirementofawelltraveledship)
poem(catullus4) & strongaginganalogy(catullus4)
poem(catullus4) & writtenin(catullus4, iambictrimeter) & convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) & writtenin(catullus4, iambictrimeter) & strongaginganalogy(catullus4) | +P2(+c2)++W2++A2(+c2)
+S2(+c2)++A2
+P2(+c2)++S2(+c2)
+P2(+c2)++W2++C2
| +P2(+c2)++W2++S2(+c2)
| Poem(catullus4) ∧ WrittenBy(catullus4, catullus) ∧ AncientRomanWriter(catullus)
Story(catullus4) ∧ About(catullus4, retirementOfAWellTraveledShip)
Poem(catullus4) ∧ StrongAgingAnalogy(catullus4)
Poem(catullus4) ∧ WrittenIn(catullus4, iambicTrimeter) ∧ Convey(catullus4, aSenseOfSpeedOverTheWaves)Poem(catullus4) ∧ Wri... | complex | poem(catullus4) & writtenby(catullus4, catullus) & ancientromanwriter(catullus)
story(catullus4) & about(catullus4, retirementofawelltraveledship)
poem(catullus4) & strongaginganalogy(catullus4)
poem(catullus4) & writtenin(catullus4, iambictrimeter) & convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) & writtenin(catullus4, iambictrimeter) & strongaginganalogy(catullus4) | poem(catullus4) & writtenby(catullus4, catullus) & ancientromanwriter(catullus)
story(catullus4) & about(catullus4, retirementofawelltraveledship)
poem(catullus4) & strongaginganalogy(catullus4)
poem(catullus4) & writtenin(catullus4, iambictrimeter) & convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) & writtenin(catullus4, iambictrimeter) & strongaginganalogy(catullus4) | poem(catullus4) , writtenby(catullus4, catullus) , ancientromanwriter(catullus)
story(catullus4) , about(catullus4, retirementofawelltraveledship)
poem(catullus4) , strongaginganalogy(catullus4)
poem(catullus4) , writtenin(catullus4, iambictrimeter) , convey(catullus4, asenseofspeedoverthewaves) | poem(catullus4) , writtenin(catullus4, iambictrimeter) , strongaginganalogy(catullus4) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
419 | Some employees in James's town who work in business analysis are good at math.
All of the employees in James's town who work in business analysis are working for this company.
None of the employees in James's town who work for this company are from China.
All of the employees in James's town working in software e... | ∃x ∃y (EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis) ∧ GoodAt(x, math) ∧ (¬(x=y)) ∧ EmployeeIn(y, jamesSTown) ∧ WorkIn(y, businessAnalysis) ∧ GoodAt(y, math))
∀x ((EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis)) → WorkFor(x, thisCompany))
∀x ((EmployeeIn(x, jamesSTown) ∧ WorkFor(x, thisCompany)) → ... | Leif is good at math. | EmployeesInJamesSTown(leif) ∧ GoodAt(leif, math) | Uncertain | 1,181 | exists x exists y (employeein(x, jamesstown) and workin(x, businessanalysis) and goodat(x, math) and (not (x=y)) and employeein(y, jamesstown) and workin(y, businessanalysis) and goodat(y, math))
forall x ((employeein(x, jamesstown) and workin(x, businessanalysis)) implies workfor(x, thiscompany))
forall x ((employee... | employeesinjamesstown(leif) and goodat(leif, math) | (employeein(x, jamesstown) , workin(x, businessanalysis) , goodat(x, math) , (not(x=y)) , employeein(y, jamesstown) , workin(y, businessanalysis) , goodat(y, math))
forall ((employeein(x, jamesstown) , workin(x, businessanalysis)) -: workfor(x, thiscompany))
forall ((employeein(x, jamesstown) , workfor(x, thiscompa... | employeesinjamesstown(leif) , goodat(leif, math) | [*x *y [(employeein[(?x jamesstown)] workin[(?x businessanalysis)] goodat[(?x math)] [(~[(?x=y)])] employeein[(?y jamesstown)] workin[(?y businessanalysis)] goodat[(?y math)])]
@every *x [([(employeein[(?x jamesstown)] workin[(?x businessanalysis)])] workfor[(?x thiscompany)])]
@every *x [([(employee... | [employeesinjamesstown[(leif)] goodat[(leif math)]] | x y (employeein(x, jamesstown) & workin(x, businessanalysis) & goodat(x, math) & (~(x=y)) & employeein(y, jamesstown) & workin(y, businessanalysis) & goodat(y, math))
all:x ((employeein(x, jamesstown) & workin(x, businessanalysis)) :- workfor(x, thiscompany))
all:x ((employeein(x, jamesstown) & workfor(x, thiscompany... | employeesinjamesstown(leif) & goodat(leif, math) | ++(+E1++W1++G1+(-(+x1))++E1++W1++G1)
-((+E0++W0)-+W0)
-((+E0++W0)--+F0)
-(+E0++W0-+F0)
+E2++W2
| +E2(+l2)++G2
| ∃x ∃y (EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis) ∧ GoodAt(x, math) ∧ (¬(x=y)) ∧ EmployeeIn(y, jamesSTown) ∧ WorkIn(y, businessAnalysis) ∧ GoodAt(y, math))
∀x ((EmployeeIn(x, jamesSTown) ∧ WorkIn(x, businessAnalysis)) → WorkFor(x, thisCompany))
∀x ((EmployeeIn(x, jamesSTown) ∧ WorkFor(x, thisCompany)) → ... | complex | some:x some:y (employeein(x, jamesstown) & workin(x, businessanalysis) & goodat(x, math) & (~(x=y)) & employeein(y, jamesstown) & workin(y, businessanalysis) & goodat(y, math))
all:x ((employeein(x, jamesstown) & workin(x, businessanalysis)) :- workfor(x, thiscompany))
all:x ((employeein(x, jamesstown) & workfor(x, t... | employeesinjamesstown(leif) & goodat(leif, math) | some:x some:y (employeein(x, jamesstown) & workin(x, businessanalysis) & goodat(x, math) & (not(x=y)) & employeein(y, jamesstown) & workin(y, businessanalysis) & goodat(y, math))
all:x ((employeein(x, jamesstown) & workin(x, businessanalysis)) :- workfor(x, thiscompany))
all:x ((employeein(x, jamesstown) & workfor(x,... | employeesinjamesstown(leif) & goodat(leif, math) | some:x some:y (employeein(x, jamesstown) , workin(x, businessanalysis) , goodat(x, math) , (~(x=y)) , employeein(y, jamesstown) , workin(y, businessanalysis) , goodat(y, math))
all:x ((employeein(x, jamesstown) , workin(x, businessanalysis)) :- workfor(x, thiscompany))
all:x ((employeein(x, jamesstown) , workfor(x, t... | employeesinjamesstown(leif) , goodat(leif, math) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'e'}]}, {'type': 'symbol... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... |
169 | All volunteers receive intangible benefits for their work.
Volunteers work regularly or on an as-needed basis.
Some volunteers are trained.
Volunteers work in groups or individually.
Environmental volunteers contribute toward environmental management or conservation.
Participating in natural disaster response is a... | ∀x (Volunteer(x) → Receive(x, intangibleBenefit))
∀x (Volunteer(x) → WorkRegularly(x) ⊕ WorkAsNeeded(x))
∃x (Volunteer(x) → Trained(x))
∀x (Volunteer(x) → (WorkInGroup(x) ∨ WorkIndividually(x)))
∀x (Volunteer(x) ∧ Environmental(x) → (ContributeTo(x, environmentalManagement) ∨ ContributeTo(x, environmentalConservati... | Volunteers who participate in natural disaster response receive intangible benefits for their work. | ∀x (Volunteer(x) ∧ ContributeTo(x, naturalDisasterResponse) → Receive(x, intangibleBenefit)) | True | 485 | forall x (volunteer(x) implies receive(x, intangiblebenefit))
forall x (volunteer(x) implies workregularly(x) xor workasneeded(x))
exists x (volunteer(x) implies trained(x))
forall x (volunteer(x) implies (workingroup(x) or workindividually(x)))
forall x (volunteer(x) and environmental(x) implies (contributeto(x, e... | forall x (volunteer(x) and contributeto(x, naturaldisasterresponse) implies receive(x, intangiblebenefit)) | forall (volunteer(x) -: receive(x, intangiblebenefit))
forall (volunteer(x) -: workregularly(x) ^ workasneeded(x))
(volunteer(x) -: trained(x))
forall (volunteer(x) -: (workingroup(x) | workindividually(x)))
forall (volunteer(x) , environmental(x) -: (contributeto(x, environmentalmanagement) | contributeto(x, envi... | forall (volunteer(x) , contributeto(x, naturaldisasterresponse) -: receive(x, intangiblebenefit)) | [@every *x [(volunteer[(?x)] receive[(?x intangiblebenefit)])]
@every *x [(volunteer[(?x)] workregularly[(?x)] workasneeded[(?x)])]
*x [(volunteer[(?x)] trained[(?x)])]
@every *x [(volunteer[(?x)] [(workingroup[(?x)] workindividually[(?x)])])]
@every *x [(volunteer[(?x)] environmental[(?x)] [(contributeto[... | [@every *x [(volunteer[(?x)] contributeto[(?x naturaldisasterresponse)] receive[(?x intangiblebenefit)])]] | all:x (volunteer(x) :- receive(x, intangiblebenefit))
all:x (volunteer(x) :- workregularly(x) ^ workasneeded(x))
x (volunteer(x) :- trained(x))
all:x (volunteer(x) :- (workingroup(x) | workindividually(x)))
all:x (volunteer(x) & environmental(x) :- (contributeto(x, environmentalmanagement) | contributeto(x, environ... | all:x (volunteer(x) & contributeto(x, naturaldisasterresponse) :- receive(x, intangiblebenefit)) | -(+V0-+R0)
-(+V0-+W0-+W0)
+(+V1-+T1)
-(+V0-(+W0-+W0))
-(+V0++E0-(+C0-+C0))
+(+V1++C1-+W1++W1)
| -(+V0++C0-+R0)
| ∀x (Volunteer(x) → Receive(x, intangibleBenefit))
∀x (Volunteer(x) → WorkRegularly(x) ⊕ WorkAsNeeded(x))
∃x (Volunteer(x) → Trained(x))
∀x (Volunteer(x) → (WorkInGroup(x) ∨ WorkIndividually(x)))
∀x (Volunteer(x) ∧ Environmental(x) → (ContributeTo(x, environmentalManagement) ∨ ContributeTo(x, environmentalConservati... | disjunctive | all:x (volunteer(x) :- receive(x, intangiblebenefit))
all:x (volunteer(x) :- workregularly(x) ^ workasneeded(x))
some:x (volunteer(x) :- trained(x))
all:x (volunteer(x) :- (workingroup(x) | workindividually(x)))
all:x (volunteer(x) & environmental(x) :- (contributeto(x, environmentalmanagement) | contributeto(x, en... | all:x (volunteer(x) & contributeto(x, naturaldisasterresponse) :- receive(x, intangiblebenefit)) | all:x (volunteer(x) :- receive(x, intangiblebenefit))
all:x (volunteer(x) :- workregularly(x) ^ workasneeded(x))
some:x (volunteer(x) :- trained(x))
all:x (volunteer(x) :- (workingroup(x) | workindividually(x)))
all:x (volunteer(x) & environmental(x) :- (contributeto(x, environmentalmanagement) | contributeto(x, en... | all:x (volunteer(x) & contributeto(x, naturaldisasterresponse) :- receive(x, intangiblebenefit)) | all:x (volunteer(x) :- receive(x, intangiblebenefit))
all:x (volunteer(x) :- workregularly(x) ^ workasneeded(x))
some:x (volunteer(x) :- trained(x))
all:x (volunteer(x) :- (workingroup(x) | workindividually(x)))
all:x (volunteer(x) , environmental(x) :- (contributeto(x, environmentalmanagement) | contributeto(x, en... | all:x (volunteer(x) , contributeto(x, naturaldisasterresponse) :- receive(x, intangiblebenefit)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
109 | Phuoc Binh national park is a national park in Vietnam.
Any national park in Vietnam is classified as a nature reserve.
There is a national park in Vietnam classified as a UNESCO World Heritage Site.
All national parks in Vietnam are either managed by the Ministry of Agriculture or managed by the People's Committe... | NationalPark(phuocBinh) ∧ Locatedin(phuocBinh, vietnam)
∀x ((NationalPark(x) ∧ Locatedin(x, vietnam)) → NatureReserve(x))
∃x (NationalPark(x) ∧ Locatedin(x, vietnam) ∧ UNESCOWorldHeritageSite(x))
∀x ((NationalPark(x) ∧ Locatedin(x, vietnam)) → (Mangedby(x, ministryofAgriculture) ⊕ Managedby(x, peoplesCommittee)))
¬... | Phuoc Binh is a UNESCO Heritage Site. | UNESCOWorldHeritageSite(phuocBinh)) | Uncertain | 331 | nationalpark(phuocbinh) and locatedin(phuocbinh, vietnam)
forall x ((nationalpark(x) and locatedin(x, vietnam)) implies naturereserve(x))
exists x (nationalpark(x) and locatedin(x, vietnam) and unescoworldheritagesite(x))
forall x ((nationalpark(x) and locatedin(x, vietnam)) implies (mangedby(x, ministryofagricultur... | unescoworldheritagesite(phuocbinh)) | nationalpark(phuocbinh) , locatedin(phuocbinh, vietnam)
forall ((nationalpark(x) , locatedin(x, vietnam)) -: naturereserve(x))
(nationalpark(x) , locatedin(x, vietnam) , unescoworldheritagesite(x))
forall ((nationalpark(x) , locatedin(x, vietnam)) -: (mangedby(x, ministryofagriculture) ^ managedby(x, peoplescommitt... | unescoworldheritagesite(phuocbinh)) | [nationalpark[(phuocbinh)] locatedin[(phuocbinh vietnam)]
@every *x [([(nationalpark[(?x)] locatedin[(?x vietnam)])] naturereserve[(?x)])]
*x [(nationalpark[(?x)] locatedin[(?x vietnam)] unescoworldheritagesite[(?x)])]
@every *x [([(nationalpark[(?x)] locatedin[(?x vietnam)])] [(mangedby[(?x ministryofag... | [unescoworldheritagesite[(phuocbinh)])]] | nationalpark(phuocbinh) & locatedin(phuocbinh, vietnam)
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- naturereserve(x))
x (nationalpark(x) & locatedin(x, vietnam) & unescoworldheritagesite(x))
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- (mangedby(x, ministryofagriculture) ^ managedby(x, peoplescommitte... | unescoworldheritagesite(phuocbinh)) | +N2(+p2)++L2
-((+N0++L0)-+N0)
+(+N1++L1++U1)
-((+N0++L0)-(+M0-+M0))
-+M2
| +U2(+p2))
| NationalPark(phuocBinh) ∧ Locatedin(phuocBinh, vietnam)
∀x ((NationalPark(x) ∧ Locatedin(x, vietnam)) → NatureReserve(x))
∃x (NationalPark(x) ∧ Locatedin(x, vietnam) ∧ UNESCOWorldHeritageSite(x))
∀x ((NationalPark(x) ∧ Locatedin(x, vietnam)) → (Mangedby(x, ministryofAgriculture) ⊕ Managedby(x, peoplesCommittee)))
¬... | disjunctive | nationalpark(phuocbinh) & locatedin(phuocbinh, vietnam)
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- naturereserve(x))
some:x (nationalpark(x) & locatedin(x, vietnam) & unescoworldheritagesite(x))
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- (mangedby(x, ministryofagriculture) ^ managedby(x, peoplescom... | unescoworldheritagesite(phuocbinh)) | nationalpark(phuocbinh) & locatedin(phuocbinh, vietnam)
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- naturereserve(x))
some:x (nationalpark(x) & locatedin(x, vietnam) & unescoworldheritagesite(x))
all:x ((nationalpark(x) & locatedin(x, vietnam)) :- (mangedby(x, ministryofagriculture) ^ managedby(x, peoplescom... | unescoworldheritagesite(phuocbinh)) | nationalpark(phuocbinh) , locatedin(phuocbinh, vietnam)
all:x ((nationalpark(x) , locatedin(x, vietnam)) :- naturereserve(x))
some:x (nationalpark(x) , locatedin(x, vietnam) , unescoworldheritagesite(x))
all:x ((nationalpark(x) , locatedin(x, vietnam)) :- (mangedby(x, ministryofagriculture) ^ managedby(x, peoplescom... | unescoworldheritagesite(phuocbinh)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'N'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'U'}, {'type': 'LETTER', 'text': 'N'}, {'type': 'LETTER', 'text': 'E'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'u'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER'... |
395 | All velvet-finish lipsticks in the Rouge Dior set, Lunar New Year Limited Edition are refillable.
Lipsticks in the Rouge Dior set, Lunar New Year Limited Edition have either a velvet-finish or a satin-finish.
No satin-finish lipsticks in the set do not have "rosewood" in its offical description.
Lipstcks in the Rou... | ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ VelvetFinish(x)) → Refillable(x))
∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (VelvetFinish(x) ⊕ SatinFinish(x))
∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ SatinFinish(x)) →... | ROUGE Dior Colored Lip Balm 999 has a satin finish. | SatinFinish(rougeDiorColoredLipBalm999) | Uncertain | 1,068 | forall x ((lipstick(x) and in(x, rougediorset) and in(x, lunarnewyearlimitededition) and velvetfinish(x)) implies refillable(x))
forall x ((lipstick(x) and in(x, rougediorset) and in(x, lunarnewyearlimitededition)) implies (velvetfinish(x) xor satinfinish(x))
forall x ((lipstick(x) and in(x, rougediorset) and in(x, l... | satinfinish(rougediorcoloredlipbalm999) | forall ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition) , velvetfinish(x)) -: refillable(x))
forall ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition)) -: (velvetfinish(x) ^ satinfinish(x))
forall ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition) , sat... | satinfinish(rougediorcoloredlipbalm999) | [@every *x [([(lipstick[(?x)] in[(?x rougediorset)] in[(?x lunarnewyearlimitededition)] velvetfinish[(?x)])] refillable[(?x)])]
@every *x [([(lipstick[(?x)] in[(?x rougediorset)] in[(?x lunarnewyearlimitededition)])] [(velvetfinish[(?x)] satinfinish[(?x)])]
@every *x [([(lipstick[(?x)] in[(?x rougediors... | [satinfinish[(rougediorcoloredlipbalm999)]] | all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & velvetfinish(x)) :- refillable(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition)) :- (velvetfinish(x) ^ satinfinish(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & satinf... | satinfinish(rougediorcoloredlipbalm999) | -((+L0++I0++I0++V0)-+R0)
-((+L0++I0++I0)-(+V0-+S0)
-((+L0++I0++I0++S0)--+R0)
-((+L0++I0++I0)-(+R0--+R0))
+L2(+r2)++I2++I2+(+R2(+r2)-+V2(+r2))
| +S2(+r2)
| ∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ VelvetFinish(x)) → Refillable(x))
∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition)) → (VelvetFinish(x) ⊕ SatinFinish(x))
∀x ((Lipstick(x) ∧ In(x, rougeDiorSet) ∧ In(x, lunarNewYearLimitedEdition) ∧ SatinFinish(x)) →... | disjunctive | all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & velvetfinish(x)) :- refillable(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition)) :- (velvetfinish(x) ^ satinfinish(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & satinf... | satinfinish(rougediorcoloredlipbalm999) | all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & velvetfinish(x)) :- refillable(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition)) :- (velvetfinish(x) ^ satinfinish(x))
all:x ((lipstick(x) & in(x, rougediorset) & in(x, lunarnewyearlimitededition) & satinf... | satinfinish(rougediorcoloredlipbalm999) | all:x ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition) , velvetfinish(x)) :- refillable(x))
all:x ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition)) :- (velvetfinish(x) ^ satinfinish(x))
all:x ((lipstick(x) , in(x, rougediorset) , in(x, lunarnewyearlimitededition) , satinf... | satinfinish(rougediorcoloredlipbalm999) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'leftpare... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'S'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'leftp... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
341 | No battery-powered watch is automatic.
All digital watches are battery-powered.
Some mechanical watches are automatic.
All smart watches are digital.
Moonwatch is either a digital watch and an automatic, or it is neither. | ∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))
∀x (DigitalWatch(x) → BatteryPoweredWatch(x))
∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))
∀x (SmartWatch(x) → DigitalWatch(x))
¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch)) | Moonwatch is a smartwatch and a mechanical watch. | SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) | False | 897 | forall x (batterypoweredwatch(x) implies not automaticwatch(x))
forall x (digitalwatch(x) implies batterypoweredwatch(x))
exists x (mechanicalwatch(x) and automaticwatch(x))
forall x (smartwatch(x) implies digitalwatch(x))
not (digitalwatch(moonwatch) xor automaticwatch(moonwatch)) | smartwatch(moonwatch) and mechanicalwatch(moonwatch) | forall (batterypoweredwatch(x) -: notautomaticwatch(x))
forall (digitalwatch(x) -: batterypoweredwatch(x))
(mechanicalwatch(x) , automaticwatch(x))
forall (smartwatch(x) -: digitalwatch(x))
not(digitalwatch(moonwatch) ^ automaticwatch(moonwatch)) | smartwatch(moonwatch) , mechanicalwatch(moonwatch) | [@every *x [(batterypoweredwatch[(?x)] ~automaticwatch[(?x)])]
@every *x [(digitalwatch[(?x)] batterypoweredwatch[(?x)])]
*x [(mechanicalwatch[(?x)] automaticwatch[(?x)])]
@every *x [(smartwatch[(?x)] digitalwatch[(?x)])]
~[(digitalwatch[(moonwatch)] automaticwatch[(moonwatch)])]] | [smartwatch[(moonwatch)] mechanicalwatch[(moonwatch)]] | all:x (batterypoweredwatch(x) :- ~automaticwatch(x))
all:x (digitalwatch(x) :- batterypoweredwatch(x))
x (mechanicalwatch(x) & automaticwatch(x))
all:x (smartwatch(x) :- digitalwatch(x))
~(digitalwatch(moonwatch) ^ automaticwatch(moonwatch)) | smartwatch(moonwatch) & mechanicalwatch(moonwatch) | -(+B0--+A0)
-(+D0-+B0)
+(+M1++A1)
-(+S0-+D0)
-(+D2(+m2)-+A2(+m2))
| +S2(+m2)++M2(+m2)
| ∀x (BatteryPoweredWatch(x) → ¬AutomaticWatch(x))
∀x (DigitalWatch(x) → BatteryPoweredWatch(x))
∃x (MechanicalWatch(x) ∧ AutomaticWatch(x))
∀x (SmartWatch(x) → DigitalWatch(x))
¬(DigitalWatch(moonwatch) ⊕ AutomaticWatch(moonwatch))SmartWatch(moonwatch) ∧ MechanicalWatch(moonwatch) | disjunctive | all:x (batterypoweredwatch(x) :- ~automaticwatch(x))
all:x (digitalwatch(x) :- batterypoweredwatch(x))
some:x (mechanicalwatch(x) & automaticwatch(x))
all:x (smartwatch(x) :- digitalwatch(x))
~(digitalwatch(moonwatch) ^ automaticwatch(moonwatch)) | smartwatch(moonwatch) & mechanicalwatch(moonwatch) | all:x (batterypoweredwatch(x) :- notautomaticwatch(x))
all:x (digitalwatch(x) :- batterypoweredwatch(x))
some:x (mechanicalwatch(x) & automaticwatch(x))
all:x (smartwatch(x) :- digitalwatch(x))
not(digitalwatch(moonwatch) ^ automaticwatch(moonwatch)) | smartwatch(moonwatch) & mechanicalwatch(moonwatch) | all:x (batterypoweredwatch(x) :- ~automaticwatch(x))
all:x (digitalwatch(x) :- batterypoweredwatch(x))
some:x (mechanicalwatch(x) , automaticwatch(x))
all:x (smartwatch(x) :- digitalwatch(x))
~(digitalwatch(moonwatch) ^ automaticwatch(moonwatch)) | smartwatch(moonwatch) , mechanicalwatch(moonwatch) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'S'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 's'}, {'... |
71 | Herodicus was a Greek physician, dietician, sophist, and gymnast.
Herodicus was born in the city of Selymbria.
Selymbria is a colony of the city-state Megara.
One of the tutors of Hippocrates was Herodicus.
Massages were recommended by Herodicus.
Some of the theories of Herodicus are considered to be the foundatio... | Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ Gymnast(herodicus)
Born(herodicus, selymbia) ∧ City(selymbia)
Colony(selymbia, megara) ∧ CityState(megara)
Tutor(herodicus, hippocrates)
Recommend(herodicus, massages)
∃x ∃y (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sport... | Herodicus tutored Hippocrates. | Tutor(herodicus, hippocrates) | True | 213 | greek(herodicus) and physician(herodicus) and dietician(herodicus) and sophist(herodicus) and gymnast(herodicus)
born(herodicus, selymbia) and city(selymbia)
colony(selymbia, megara) and citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
exists x exists y (theory(x) and from(x, herodicu... | tutor(herodicus, hippocrates) | greek(herodicus) , physician(herodicus) , dietician(herodicus) , sophist(herodicus) , gymnast(herodicus)
born(herodicus, selymbia) , city(selymbia)
colony(selymbia, megara) , citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
(theory(x) , from(x, herodicus) , foundationof(x, sportsmed... | tutor(herodicus, hippocrates) | [greek[(herodicus)] physician[(herodicus)] dietician[(herodicus)] sophist[(herodicus)] gymnast[(herodicus)]
born[(herodicus selymbia)] city[(selymbia)]
colony[(selymbia megara)] citystate[(megara)]
tutor[(herodicus hippocrates)]
recommend[(herodicus massages)]
*x *y [(theory[(?x)] from[(?x herodicus)] ... | [tutor[(herodicus hippocrates)]] | greek(herodicus) & physician(herodicus) & dietician(herodicus) & sophist(herodicus) & gymnast(herodicus)
born(herodicus, selymbia) & city(selymbia)
colony(selymbia, megara) & citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
x y (theory(x) & from(x, herodicus) & foundationof(x, sportsm... | tutor(herodicus, hippocrates) | +G2(+h2)++P2(+h2)++D2(+h2)++S2(+h2)++G2(+h2)
+B2++C2(+s2)
+C2++C2(+m2)
+T2
+R2
++(+T1++F1++F1+(-(+x1))++T1++F1++F1)
| +T2
| Greek(herodicus) ∧ Physician(herodicus) ∧ Dietician(herodicus) ∧ Sophist(herodicus) ∧ Gymnast(herodicus)
Born(herodicus, selymbia) ∧ City(selymbia)
Colony(selymbia, megara) ∧ CityState(megara)
Tutor(herodicus, hippocrates)
Recommend(herodicus, massages)
∃x ∃y (Theory(x) ∧ From(x, herodicus) ∧ FoundationOf(x, sport... | complex | greek(herodicus) & physician(herodicus) & dietician(herodicus) & sophist(herodicus) & gymnast(herodicus)
born(herodicus, selymbia) & city(selymbia)
colony(selymbia, megara) & citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
some:x some:y (theory(x) & from(x, herodicus) & foundationof(... | tutor(herodicus, hippocrates) | greek(herodicus) & physician(herodicus) & dietician(herodicus) & sophist(herodicus) & gymnast(herodicus)
born(herodicus, selymbia) & city(selymbia)
colony(selymbia, megara) & citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
some:x some:y (theory(x) & from(x, herodicus) & foundationof(... | tutor(herodicus, hippocrates) | greek(herodicus) , physician(herodicus) , dietician(herodicus) , sophist(herodicus) , gymnast(herodicus)
born(herodicus, selymbia) , city(selymbia)
colony(selymbia, megara) , citystate(megara)
tutor(herodicus, hippocrates)
recommend(herodicus, massages)
some:x some:y (theory(x) , from(x, herodicus) , foundationof(... | tutor(herodicus, hippocrates) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'T'}, {'type': 'LETTER', 'text': 'u'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 't'}, {'type': 'LETTER', 'text': 'u'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
212 | If you have room for dessert, you have room for broccoli.
Everyone at Luis's dinner party has room for dessert, including Luis.
Mauricia does not have room for broccoli.
Luis's dinner party is the first ever dinner party that Allison has attended.
Gustave has room for both broccoli and asparagus.
Broccoli and aspa... | ∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))
∀x (AtLuisParty(x) → RoomFor(x, dessert))
¬RoomFor(mauricia, broccoli)
AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison)
RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)
Vegetable(broccoli) ∧ Vegetable(asparagus) | Gustav has room for dessert. | RoomFor(gustave, dessert) | Uncertain | 607 | forall x (roomfor(x, dessert) implies roomfor(x, broccoli))
forall x (atluisparty(x) implies roomfor(x, dessert))
not roomfor(mauricia, broccoli)
atluisparty(allison) and firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) and roomfor(gustave, asparagus)
vegetable(broccoli) and vegetable(asparagus) | roomfor(gustave, dessert) | forall (roomfor(x, dessert) -: roomfor(x, broccoli))
forall (atluisparty(x) -: roomfor(x, dessert))
notroomfor(mauricia, broccoli)
atluisparty(allison) , firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) , roomfor(gustave, asparagus)
vegetable(broccoli) , vegetable(asparagus) | roomfor(gustave, dessert) | [@every *x [(roomfor[(?x dessert)] roomfor[(?x broccoli)])]
@every *x [(atluisparty[(?x)] roomfor[(?x dessert)])]
~roomfor[(mauricia broccoli)]
atluisparty[(allison)] firstdinnerpartyfor[(luisparty allison)]
roomfor[(gustave broccoli)] roomfor[(gustave asparagus)]
vegetable[(broccoli)] vegetable[(aspa... | [roomfor[(gustave dessert)]] | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(gustave, dessert) | -(+R0-+R0)
-(+A0-+R0)
-+R2
+A2(+a2)++F2
+R2++R2
+V2(+b2)++V2(+a2)
| +R2
| ∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))
∀x (AtLuisParty(x) → RoomFor(x, dessert))
¬RoomFor(mauricia, broccoli)
AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison)
RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)
Vegetable(broccoli) ∧ Vegetable(asparagus)RoomFor(gustave, dessert) | complex | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(gustave, dessert) | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
notroomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(gustave, dessert) | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) , firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) , roomfor(gustave, asparagus)
vegetable(broccoli) , vegetable(asparagus) | roomfor(gustave, dessert) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'R'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
34 | Rafa Nadal was born in Mallorca.
Rafa Nadal is a professional tennis player.
Nadal's win ratio is high.
All players in the Big 3 are professionals who have a high win ratio. | BornIn(rafaNadal, mallorca)
ProfessionalTennisPlayer(rafaNadal)
HighWinRatio(rafaNadal)
∀x ((ProfessionalTennisPlayer(x) ∧ HighWinRatio(x)) → InBig3(x)) | Nadal is the greatest player of all time. | GreatestOfAllTime(rafaNadal) | Uncertain | 100 | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
forall x ((professionaltennisplayer(x) and highwinratio(x)) implies inbig3(x)) | greatestofalltime(rafanadal) | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
forall ((professionaltennisplayer(x) , highwinratio(x)) -: inbig3(x)) | greatestofalltime(rafanadal) | [bornin[(rafanadal mallorca)]
professionaltennisplayer[(rafanadal)]
highwinratio[(rafanadal)]
@every *x [([(professionaltennisplayer[(?x)] highwinratio[(?x)])] inbig3[(?x)])]] | [greatestofalltime[(rafanadal)]] | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
all:x ((professionaltennisplayer(x) & highwinratio(x)) :- inbig3(x)) | greatestofalltime(rafanadal) | +B2
+P2(+r2)
+H2(+r2)
-((+P0++H0)-+I0)
| +G2(+r2)
| BornIn(rafaNadal, mallorca)
ProfessionalTennisPlayer(rafaNadal)
HighWinRatio(rafaNadal)
∀x ((ProfessionalTennisPlayer(x) ∧ HighWinRatio(x)) → InBig3(x))GreatestOfAllTime(rafaNadal) | complex | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
all:x ((professionaltennisplayer(x) & highwinratio(x)) :- inbig3(x)) | greatestofalltime(rafanadal) | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
all:x ((professionaltennisplayer(x) & highwinratio(x)) :- inbig3(x)) | greatestofalltime(rafanadal) | bornin(rafanadal, mallorca)
professionaltennisplayer(rafanadal)
highwinratio(rafanadal)
all:x ((professionaltennisplayer(x) , highwinratio(x)) :- inbig3(x)) | greatestofalltime(rafanadal) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'B'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'G'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'b'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'g'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER'... |
54 | A roundel is a rounded artillery fortification.
A roundel is not higher than adjacent walls.
Cannons can be deployed on artillery fortifications.
Roundels are the oldest artillery fortifications.
Battery towers are artillery fortifications. | ∀x (Roundel(x) → (Rounded(x) ∧ ArtilleryFortification(x)))
∀x ∀y ((Roundel(x) ∧ AdjacentWalls(x,y)) → ¬Higher(x, y))
∀x (ArtilleryFortification(x) → DeployCannons(x))
∀x ∀y ((Roundel(x) ∧ ArtilleryFortification(y)) → Older(x, y))
∀x (BatteryTower(x) → ArtilleryFortification(x)) | Roundels are older than battery towers. | ∀x ∀y ((Roundel(x) ∧ BatteryTower(y)) → Older(x, y)) | True | 159 | forall x (roundel(x) implies (rounded(x) and artilleryfortification(x)))
forall x forall y ((roundel(x) and adjacentwalls(x,y)) implies not higher(x, y))
forall x (artilleryfortification(x) implies deploycannons(x))
forall x forall y ((roundel(x) and artilleryfortification(y)) implies older(x, y))
forall x (battery... | forall x forall y ((roundel(x) and batterytower(y)) implies older(x, y)) | forall (roundel(x) -: (rounded(x) , artilleryfortification(x)))
forall forall ((roundel(x) , adjacentwalls(x,)) -: nothigher(x, y))
forall (artilleryfortification(x) -: deploycannons(x))
forall forall ((roundel(x) , artilleryfortification(y)) -: older(x, y))
forall (batterytower(x) -: artilleryfortification(x)) | forall forall ((roundel(x) , batterytower(y)) -: older(x, y)) | [@every *x [(roundel[(?x)] [(rounded[(?x)] artilleryfortification[(?x)])])]
@every *x @every *y [([(roundel[(?x)] adjacentwalls[(?x ?y)])] ~higher[(?x y)])]
@every *x [(artilleryfortification[(?x)] deploycannons[(?x)])]
@every *x @every *y [([(roundel[(?x)] artilleryfortification[(?y)])] older[(?x y)])]
@e... | [@every *x @every *y [([(roundel[(?x)] batterytower[(?y)])] older[(?x y)])]] | all:x (roundel(x) :- (rounded(x) & artilleryfortification(x)))
all:x all:y ((roundel(x) & adjacentwalls(x,y)) :- ~higher(x, y))
all:x (artilleryfortification(x) :- deploycannons(x))
all:x all:y ((roundel(x) & artilleryfortification(y)) :- older(x, y))
all:x (batterytower(x) :- artilleryfortification(x)) | all:x all:y ((roundel(x) & batterytower(y)) :- older(x, y)) | -(+R0-(+R0++A0))
--((+R0++A0)--+H0)
-(+A0-+D0)
--((+R0++A0)-+O0)
-(+B0-+A0)
| --((+R0++B0)-+O0)
| ∀x (Roundel(x) → (Rounded(x) ∧ ArtilleryFortification(x)))
∀x ∀y ((Roundel(x) ∧ AdjacentWalls(x,y)) → ¬Higher(x, y))
∀x (ArtilleryFortification(x) → DeployCannons(x))
∀x ∀y ((Roundel(x) ∧ ArtilleryFortification(y)) → Older(x, y))
∀x (BatteryTower(x) → ArtilleryFortification(x))∀x ∀y ((Roundel(x) ∧ BatteryTower(y)) ... | complex | all:x (roundel(x) :- (rounded(x) & artilleryfortification(x)))
all:x all:y ((roundel(x) & adjacentwalls(x,y)) :- ~higher(x, y))
all:x (artilleryfortification(x) :- deploycannons(x))
all:x all:y ((roundel(x) & artilleryfortification(y)) :- older(x, y))
all:x (batterytower(x) :- artilleryfortification(x)) | all:x all:y ((roundel(x) & batterytower(y)) :- older(x, y)) | all:x (roundel(x) :- (rounded(x) & artilleryfortification(x)))
all:x all:y ((roundel(x) & adjacentwalls(x,y)) :- nothigher(x, y))
all:x (artilleryfortification(x) :- deploycannons(x))
all:x all:y ((roundel(x) & artilleryfortification(y)) :- older(x, y))
all:x (batterytower(x) :- artilleryfortification(x)) | all:x all:y ((roundel(x) & batterytower(y)) :- older(x, y)) | all:x (roundel(x) :- (rounded(x) , artilleryfortification(x)))
all:x all:y ((roundel(x) , adjacentwalls(x,y)) :- ~higher(x, y))
all:x (artilleryfortification(x) :- deploycannons(x))
all:x all:y ((roundel(x) , artilleryfortification(y)) :- older(x, y))
all:x (batterytower(x) :- artilleryfortification(x)) | all:x all:y ((roundel(x) , batterytower(y)) :- older(x, y)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'f'}]}, {'type': 'symbol... |
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 o... | ∀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(du... | If Dune is a result of creative and imaginative processes, then Dune is not a result of creative processes and science-fiction. | (ResultOf(dune, creativeProcess) ∧ ImaginativeProcess(dune)) → (¬ResultOf(dune, creativeProcess) ∧ ¬ScienceFiction(dune)) | False | 1,052 | forall x ((knows(dan, x) and imaginativeprocess(x)) implies resultof(x, creativeprocess))
forall x ((knows(dan, x) and sciencefiction(x)) implies imaginativeprocess(x))
forall x (knows(dan, x) implies (sciencefiction(x) xor realisticfiction(x)))
forall x ((knows(dan, x) and fact(x)) implies not provedtobe(x, false)... | (resultof(dune, creativeprocess) and imaginativeprocess(dune)) implies (not resultof(dune, creativeprocess) and not sciencefiction(dune)) | forall ((knows(dan, x) , imaginativeprocess(x)) -: resultof(x, creativeprocess))
forall ((knows(dan, x) , sciencefiction(x)) -: imaginativeprocess(x))
forall (knows(dan, x) -: (sciencefiction(x) ^ realisticfiction(x)))
forall ((knows(dan, x) , fact(x)) -: notprovedtobe(x, false))
(knows(dan, dune) , sciencefictio... | (resultof(dune, creativeprocess) , imaginativeprocess(dune)) -: (notresultof(dune, creativeprocess) , notsciencefiction(dune)) | [@every *x [([(knows[(dan x)] imaginativeprocess[(?x)])] resultof[(?x creativeprocess)])]
@every *x [([(knows[(dan x)] sciencefiction[(?x)])] imaginativeprocess[(?x)])]
@every *x [(knows[(dan x)] [(sciencefiction[(?x)] realisticfiction[(?x)])])]
@every *x [([(knows[(dan x)] fact[(?x)])] ~provedtobe[(?x... | [[(resultof[(dune creativeprocess)] imaginativeprocess[(dune)])] [(~resultof[(dune creativeprocess)] ~sciencefiction[(dune)])]] | all:x ((knows(dan, x) & imaginativeprocess(x)) :- resultof(x, creativeprocess))
all:x ((knows(dan, x) & sciencefiction(x)) :- imaginativeprocess(x))
all:x (knows(dan, x) :- (sciencefiction(x) ^ realisticfiction(x)))
all:x ((knows(dan, x) & fact(x)) :- ~provedtobe(x, false))
(knows(dan, dune) & sciencefiction(dune... | (resultof(dune, creativeprocess) & imaginativeprocess(dune)) :- (~resultof(dune, creativeprocess) & ~sciencefiction(dune)) | -((+K0++I0)-+R0)
-((+K0++S0)-+I0)
-(+K0-(+S0-+R0))
-((+K0++F0)--+P0)
(+K2++S2(+d2))-+P2)
| (+R2++I2(+d2))-(-+R2+-+S2(+d2))
| ∀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(du... | disjunctive | all:x ((knows(dan, x) & imaginativeprocess(x)) :- resultof(x, creativeprocess))
all:x ((knows(dan, x) & sciencefiction(x)) :- imaginativeprocess(x))
all:x (knows(dan, x) :- (sciencefiction(x) ^ realisticfiction(x)))
all:x ((knows(dan, x) & fact(x)) :- ~provedtobe(x, false))
(knows(dan, dune) & sciencefiction(dune)... | (resultof(dune, creativeprocess) & imaginativeprocess(dune)) :- (~resultof(dune, creativeprocess) & ~sciencefiction(dune)) | all:x ((knows(dan, x) & imaginativeprocess(x)) :- resultof(x, creativeprocess))
all:x ((knows(dan, x) & sciencefiction(x)) :- imaginativeprocess(x))
all:x (knows(dan, x) :- (sciencefiction(x) ^ realisticfiction(x)))
all:x ((knows(dan, x) & fact(x)) :- notprovedtobe(x, false))
(knows(dan, dune) & sciencefiction(du... | (resultof(dune, creativeprocess) & imaginativeprocess(dune)) :- (notresultof(dune, creativeprocess) & notsciencefiction(dune)) | all:x ((knows(dan, x) , imaginativeprocess(x)) :- resultof(x, creativeprocess))
all:x ((knows(dan, x) , sciencefiction(x)) :- imaginativeprocess(x))
all:x (knows(dan, x) :- (sciencefiction(x) ^ realisticfiction(x)))
all:x ((knows(dan, x) , fact(x)) :- ~provedtobe(x, false))
(knows(dan, dune) , sciencefiction(dune... | (resultof(dune, creativeprocess) , imaginativeprocess(dune)) :- (~resultof(dune, creativeprocess) , ~sciencefiction(dune)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
49 | Quincy McDuffie is an American professional wide receiver in Canadian Football.
People who can catch balls are good wide receivers.
Quincy McDuffie can catch some footballs easily.
Good wide receivers play professionally.
Good wide receivers can catch with both their left and right hand.
All footballs are balls. | American(quincyMcduffie) ∧ Professional(quincyMcduffie) ∧ WideReciever(quincyMcduffie) ∧ PlaysIn(quincyMcduffie, cFL)
∀x ((∃y(CanCatch(x, y) ∧ Ball(y))) → GoodWideReceiver(x))
∃x ∃y (Football(x) ∧ CanCatch(quincymcduffie, x)) ∧ (¬(x=y) ∧ (Football(y) ∧ CanCatch(quincymcduffie, y))
∀x (GoodWideReceiver(x) → Professio... | Quincy McDuffie is a good wide receiver. | GoodWideReceiver(quincyMcduffie) | True | 141 | american(quincymcduffie) and professional(quincymcduffie) and widereciever(quincymcduffie) and playsin(quincymcduffie, cfl)
forall x ((exists y(cancatch(x, y) and ball(y))) implies goodwidereceiver(x))
exists x exists y (football(x) and cancatch(quincymcduffie, x)) and (not (x=y) and (football(y) and cancatch(quincym... | goodwidereceiver(quincymcduffie) | american(quincymcduffie) , professional(quincymcduffie) , widereciever(quincymcduffie) , playsin(quincymcduffie, cfl)
forall (((cancatch(x, y) , ball(y))) -: goodwidereceiver(x))
(football(x) , cancatch(quincymcduffie, x)) , (not(x=y) , (football(y) , cancatch(quincymcduffie, y))
forall (goodwidereceiver(x) -: pro... | goodwidereceiver(quincymcduffie) | [american[(quincymcduffie)] professional[(quincymcduffie)] widereciever[(quincymcduffie)] playsin[(quincymcduffie cfl)]
@every *x [([(*y[(cancatch[(?x y)] ball[(?y)])])] goodwidereceiver[(?x)])]
*x *y [(football[(?x)] cancatch[(quincymcduffie x)])] [(~[(?x=y)] [(football[(?y)] cancatch[(quincymcduffie y)... | [goodwidereceiver[(quincymcduffie)]] | american(quincymcduffie) & professional(quincymcduffie) & widereciever(quincymcduffie) & playsin(quincymcduffie, cfl)
all:x ((y(cancatch(x, y) & ball(y))) :- goodwidereceiver(x))
x y (football(x) & cancatch(quincymcduffie, x)) & (~(x=y) & (football(y) & cancatch(quincymcduffie, y))
all:x (goodwidereceiver(x) :- prof... | goodwidereceiver(quincymcduffie) | +A2(+q2)++P2(+q2)++W2(+q2)++P2
-((+(+C1++B1))-+G1)
++(+F1++C1)+(-(+x1)+(+F1++C1)
-(+G0-+P0)
-(+G0-(+C0++C0))
-(+F0-+B0)
| +G2(+q2)
| American(quincyMcduffie) ∧ Professional(quincyMcduffie) ∧ WideReciever(quincyMcduffie) ∧ PlaysIn(quincyMcduffie, cFL)
∀x ((∃y(CanCatch(x, y) ∧ Ball(y))) → GoodWideReceiver(x))
∃x ∃y (Football(x) ∧ CanCatch(quincymcduffie, x)) ∧ (¬(x=y) ∧ (Football(y) ∧ CanCatch(quincymcduffie, y))
∀x (GoodWideReceiver(x) → Professio... | complex | american(quincymcduffie) & professional(quincymcduffie) & widereciever(quincymcduffie) & playsin(quincymcduffie, cfl)
all:x ((some:y(cancatch(x, y) & ball(y))) :- goodwidereceiver(x))
some:x some:y (football(x) & cancatch(quincymcduffie, x)) & (~(x=y) & (football(y) & cancatch(quincymcduffie, y))
all:x (goodwiderece... | goodwidereceiver(quincymcduffie) | american(quincymcduffie) & professional(quincymcduffie) & widereciever(quincymcduffie) & playsin(quincymcduffie, cfl)
all:x ((some:y(cancatch(x, y) & ball(y))) :- goodwidereceiver(x))
some:x some:y (football(x) & cancatch(quincymcduffie, x)) & (not(x=y) & (football(y) & cancatch(quincymcduffie, y))
all:x (goodwidere... | goodwidereceiver(quincymcduffie) | american(quincymcduffie) , professional(quincymcduffie) , widereciever(quincymcduffie) , playsin(quincymcduffie, cfl)
all:x ((some:y(cancatch(x, y) , ball(y))) :- goodwidereceiver(x))
some:x some:y (football(x) , cancatch(quincymcduffie, x)) , (~(x=y) , (football(y) , cancatch(quincymcduffie, y))
all:x (goodwiderece... | goodwidereceiver(quincymcduffie) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'G'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'g'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
59 | Some monitors equipped in the lab are produced by the company named AOC.
All monitors equipped in the lab are cheaper than their original prices.
If a monitor is cheaper than its original price, then its resolution is 1080p.
If a monitor has a resolution of 1080p, then it does not support the type-c port.
LG34 ... | ∃x ∃y (LabMonitor(x) ∧ AOC(x) ∧ (¬(x=y)) ∧ LabMonitor(y) ∧ AOC(y))
∀x (LabMonitor(x) → Discounted(x))
∀x (Discounted(x) → A1080p(x))
∀x (A1080p(x) → ¬TypeC(x))
LabMonitor(lg-34) | LG34 is not with a resolution of 1080p. | ¬A1080p(lg-34) | False | 176 | exists x exists y (labmonitor(x) and aoc(x) and (not (x=y)) and labmonitor(y) and aoc(y))
forall x (labmonitor(x) implies discounted(x))
forall x (discounted(x) implies a1080p(x))
forall x (a1080p(x) implies not typec(x))
labmonitor(lg-34) | not a1080p(lg-34) | (labmonitor(x) , aoc(x) , (not(x=y)) , labmonitor(y) , aoc(y))
forall (labmonitor(x) -: discounted(x))
forall (discounted(x) -: a1080p(x))
forall (a1080p(x) -: nottypec(x))
labmonitor(lg-34) | nota1080p(lg-34) | [*x *y [(labmonitor[(?x)] aoc[(?x)] [(~[(?x=y)])] labmonitor[(?y)] aoc[(?y)])]
@every *x [(labmonitor[(?x)] discounted[(?x)])]
@every *x [(discounted[(?x)] a1080p[(?x)])]
@every *x [(a1080p[(?x)] ~typec[(?x)])]
labmonitor[(lg-34)]] | ~[a1080p[(lg-34)]] | x y (labmonitor(x) & aoc(x) & (~(x=y)) & labmonitor(y) & aoc(y))
all:x (labmonitor(x) :- discounted(x))
all:x (discounted(x) :- a1080p(x))
all:x (a1080p(x) :- ~typec(x))
labmonitor(lg-34) | ~a1080p(lg-34) | ++(+L1++A1+(-(+x1))++L1++A1)
-(+L0-+D0)
-(+D0-+A0)
-(+A0--+T0)
+L2(+l2)
| -+A2(+l2)
| ∃x ∃y (LabMonitor(x) ∧ AOC(x) ∧ (¬(x=y)) ∧ LabMonitor(y) ∧ AOC(y))
∀x (LabMonitor(x) → Discounted(x))
∀x (Discounted(x) → A1080p(x))
∀x (A1080p(x) → ¬TypeC(x))
LabMonitor(lg-34)¬A1080p(lg-34) | complex | some:x some:y (labmonitor(x) & aoc(x) & (~(x=y)) & labmonitor(y) & aoc(y))
all:x (labmonitor(x) :- discounted(x))
all:x (discounted(x) :- a1080p(x))
all:x (a1080p(x) :- ~typec(x))
labmonitor(lg-34) | ~a1080p(lg-34) | some:x some:y (labmonitor(x) & aoc(x) & (not(x=y)) & labmonitor(y) & aoc(y))
all:x (labmonitor(x) :- discounted(x))
all:x (discounted(x) :- a1080p(x))
all:x (a1080p(x) :- nottypec(x))
labmonitor(lg-34) | nota1080p(lg-34) | some:x some:y (labmonitor(x) , aoc(x) , (~(x=y)) , labmonitor(y) , aoc(y))
all:x (labmonitor(x) :- discounted(x))
all:x (discounted(x) :- a1080p(x))
all:x (a1080p(x) :- ~typec(x))
labmonitor(lg-34) | ~a1080p(lg-34) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
261 | All nuclear-powered submarines are warships.
No nuclear-powered submarines are commercial vessels. | ∀x (NuclearPoweredSubmarine(x) → Warship(x))
∀x (NuclearPoweredSubmarine(x) → ¬CommercialVessel(x)) | No warships are commercial vessels. | ∀x (Warship(x) → ¬CommercialVessel(x)) | Uncertain | 705 | forall x (nuclearpoweredsubmarine(x) implies warship(x))
forall x (nuclearpoweredsubmarine(x) implies not commercialvessel(x)) | forall x (warship(x) implies not commercialvessel(x)) | forall (nuclearpoweredsubmarine(x) -: warship(x))
forall (nuclearpoweredsubmarine(x) -: notcommercialvessel(x)) | forall (warship(x) -: notcommercialvessel(x)) | [@every *x [(nuclearpoweredsubmarine[(?x)] warship[(?x)])]
@every *x [(nuclearpoweredsubmarine[(?x)] ~commercialvessel[(?x)])]] | [@every *x [(warship[(?x)] ~commercialvessel[(?x)])]] | all:x (nuclearpoweredsubmarine(x) :- warship(x))
all:x (nuclearpoweredsubmarine(x) :- ~commercialvessel(x)) | all:x (warship(x) :- ~commercialvessel(x)) | -(+N0-+W0)
-(+N0--+C0)
| -(+W0--+C0)
| ∀x (NuclearPoweredSubmarine(x) → Warship(x))
∀x (NuclearPoweredSubmarine(x) → ¬CommercialVessel(x))∀x (Warship(x) → ¬CommercialVessel(x)) | hypothetical | all:x (nuclearpoweredsubmarine(x) :- warship(x))
all:x (nuclearpoweredsubmarine(x) :- ~commercialvessel(x)) | all:x (warship(x) :- ~commercialvessel(x)) | all:x (nuclearpoweredsubmarine(x) :- warship(x))
all:x (nuclearpoweredsubmarine(x) :- notcommercialvessel(x)) | all:x (warship(x) :- notcommercialvessel(x)) | all:x (nuclearpoweredsubmarine(x) :- warship(x))
all:x (nuclearpoweredsubmarine(x) :- ~commercialvessel(x)) | all:x (warship(x) :- ~commercialvessel(x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
311 | No payment cards issued by Russian banks can be used with ApplePay.
All MIR payment cards are issued by Russian banks.
Some international payment cards can be used with ApplePay.
Social payments in Russia can only be transferred to MIR payment cards.
Bank of America payment cards can be used with ApplePay. | ∀x ∀y (PaymentCard(x) ∧ RussianBank(y) ∧ IssuedBy(x, y) → ¬UsedWith(x, applePay))
∀x ∀y (PaymentCard(x) ∧ MIR(x) → RussianBank(y) ∧ IssuedBy(x, y))
∃x (PaymentCard(x) ∧ International(x) → UsedWith(x, applePay))
∀x ∀y (SocialPayment(x) ∧TransferredTo(x, y) → PaymentCard(y) ∧ MIR(y))
PaymentCard(bankOfAmerica) ∧ Used... | Bank of America payment cards are international and can be used to transfer social payments in Russia. | ∀x (PaymentCard(bankOfAmerica) ∧ International(bankOfAmerica) ∧ SocialPayment(x) ∧TransferredTo(x, bankOfAmerica)) | False | 774 | forall x forall y (paymentcard(x) and russianbank(y) and issuedby(x, y) implies not usedwith(x, applepay))
forall x forall y (paymentcard(x) and mir(x) implies russianbank(y) and issuedby(x, y))
exists x (paymentcard(x) and international(x) implies usedwith(x, applepay))
forall x forall y (socialpayment(x) andtransf... | forall x (paymentcard(bankofamerica) and international(bankofamerica) and socialpayment(x) andtransferredto(x, bankofamerica)) | forall forall (paymentcard(x) , russianbank(y) , issuedby(x, y) -: notusedwith(x, applepay))
forall forall (paymentcard(x) , mir(x) -: russianbank(y) , issuedby(x, y))
(paymentcard(x) , international(x) -: usedwith(x, applepay))
forall forall (socialpayment(x) ,transferredto(x, y) -: paymentcard(y) , mir(y))
payme... | forall (paymentcard(bankofamerica) , international(bankofamerica) , socialpayment(x) ,transferredto(x, bankofamerica)) | [@every *x @every *y [(paymentcard[(?x)] russianbank[(?y)] issuedby[(?x y)] ~usedwith[(?x applepay)])]
@every *x @every *y [(paymentcard[(?x)] mir[(?x)] russianbank[(?y)] issuedby[(?x y)])]
*x [(paymentcard[(?x)] international[(?x)] usedwith[(?x applepay)])]
@every *x @every *y [(socialpayment[(?x)] tran... | [@every *x [(paymentcard[(bankofamerica)] international[(bankofamerica)] socialpayment[(?x)] transferredto[(?x bankofamerica)])]] | all:x all:y (paymentcard(x) & russianbank(y) & issuedby(x, y) :- ~usedwith(x, applepay))
all:x all:y (paymentcard(x) & mir(x) :- russianbank(y) & issuedby(x, y))
x (paymentcard(x) & international(x) :- usedwith(x, applepay))
all:x all:y (socialpayment(x) &transferredto(x, y) :- paymentcard(y) & mir(y))
paymentcard(... | all:x (paymentcard(bankofamerica) & international(bankofamerica) & socialpayment(x) &transferredto(x, bankofamerica)) | --(+P0++R0++I0--+U0)
--(+P0++M0-+R0++I0)
+(+P1++I1-+U1)
--(+S0++T0-+P0++M0)
+P2(+b2)++U2
| -(+P0(+b0)++I0(+b0)++S0++T0)
| ∀x ∀y (PaymentCard(x) ∧ RussianBank(y) ∧ IssuedBy(x, y) → ¬UsedWith(x, applePay))
∀x ∀y (PaymentCard(x) ∧ MIR(x) → RussianBank(y) ∧ IssuedBy(x, y))
∃x (PaymentCard(x) ∧ International(x) → UsedWith(x, applePay))
∀x ∀y (SocialPayment(x) ∧TransferredTo(x, y) → PaymentCard(y) ∧ MIR(y))
PaymentCard(bankOfAmerica) ∧ Used... | complex | all:x all:y (paymentcard(x) & russianbank(y) & issuedby(x, y) :- ~usedwith(x, applepay))
all:x all:y (paymentcard(x) & mir(x) :- russianbank(y) & issuedby(x, y))
some:x (paymentcard(x) & international(x) :- usedwith(x, applepay))
all:x all:y (socialpayment(x) &transferredto(x, y) :- paymentcard(y) & mir(y))
payment... | all:x (paymentcard(bankofamerica) & international(bankofamerica) & socialpayment(x) &transferredto(x, bankofamerica)) | all:x all:y (paymentcard(x) & russianbank(y) & issuedby(x, y) :- notusedwith(x, applepay))
all:x all:y (paymentcard(x) & mir(x) :- russianbank(y) & issuedby(x, y))
some:x (paymentcard(x) & international(x) :- usedwith(x, applepay))
all:x all:y (socialpayment(x) &transferredto(x, y) :- paymentcard(y) & mir(y))
payme... | all:x (paymentcard(bankofamerica) & international(bankofamerica) & socialpayment(x) &transferredto(x, bankofamerica)) | all:x all:y (paymentcard(x) , russianbank(y) , issuedby(x, y) :- ~usedwith(x, applepay))
all:x all:y (paymentcard(x) , mir(x) :- russianbank(y) , issuedby(x, y))
some:x (paymentcard(x) , international(x) :- usedwith(x, applepay))
all:x all:y (socialpayment(x) ,transferredto(x, y) :- paymentcard(y) , mir(y))
payment... | all:x (paymentcard(bankofamerica) , international(bankofamerica) , socialpayment(x) ,transferredto(x, bankofamerica)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'f'}]}, {'type': 'symbol... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
366 | People in Franny's family drink kombucha every day or drink Coca-Cola or a Pepsi product.
If people in Franny's family drink Coca-Cola or a Pepsi product every day, then they grew up with extremely busy parents who did not have time to pack them lunch.
If people in Franny's family drink Coca-Cola or another Pepsi pro... | ∀x (In(x, frannysFamily) ∧ (Drink(x, kombucha) ∨ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y))))))
∀x (In(x, frannysFamily) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z... | If Damon is in Franny's family and he either visits the dentist frequently or drinks kombucha, then Damon both visits the dentist frequently and drinks Coca-Cola or Pepsi products every day. | HaveToVisitFrequently(damon, dentist) ∨ Drink(damon, kombucha, everyDay) → HaveToVisitFrequently(damon, dentist) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) | False | 975 | forall x (in(x, frannysfamily) and (drink(x, kombucha) or (exists y (drink(x, cocacola) or (pepsiproduct(y) and drink(x, y))))))
forall x (in(x, frannysfamily) and (exists y (drink(x, cocacola) or (pepsiproduct(y) and drink(x, y)))) implies (exists y exists z (not (y=z) and busyparent(y) and busyparent(z) and not pack... | havetovisitfrequently(damon, dentist) or drink(damon, kombucha, everyday) implies havetovisitfrequently(damon, dentist) and (exists y (drink(x, cocacola) or (pepsiproduct(y) and drink(x, y)))) | forall (in(x, frannysfamily) , (drink(x, kombucha) | ( (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y))))))
forall (in(x, frannysfamily) , ( (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y)))) -: ( (not(y=z) , busyparent(y) , busyparent(z) , notpack(y, lunch) , notpack(z, lunch) , growupwith(x, y) , growupwi... | havetovisitfrequently(damon, dentist) | drink(damon, kombucha, everyday) -: havetovisitfrequently(damon, dentist) , ( (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y)))) | [@every *x [(in[(?x frannysfamily)] [(drink[(?x kombucha)] [(*y [(drink[(?x cocacola)] [(pepsiproduct[(?y)] drink[(?x y)])])])])])]
@every *x [(in[(?x frannysfamily)] [(*y [(drink[(?x cocacola)] [(pepsiproduct[(?y)] drink[(?x y)])])])] [(*y *z [(~[(?y=z)] busyparent[(?y)] busyparent[(?z)] ~pack[(?y ... | [havetovisitfrequently[(damon dentist)] drink[(damon kombucha everyday)] havetovisitfrequently[(damon dentist)] [(*y [(drink[(x cocacola)] [(pepsiproduct[(?y)] drink[(x y)])])])]] | all:x (in(x, frannysfamily) & (drink(x, kombucha) | (y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y))))))
all:x (in(x, frannysfamily) & (y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) :- (y z (~(y=z) & busyparent(y) & busyparent(z) & ~pack(y, lunch) & ~pack(z, lunch) & growupwith(x, y) & growupwith(x... | havetovisitfrequently(damon, dentist) | drink(damon, kombucha, everyday) :- havetovisitfrequently(damon, dentist) & (y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) | -(+I0+(+D0-(+(+D1-(+P1++D1)))))
-(+I0+(+(+D1-(+P1++D1)))-(++(-(+y1)++B1++B1+-+P1+-+P1++G1++G1)))
-(+I0)+(+(+D1-(+P1++D1)))-+H1)
-(+I0+(++(-(+y1)++B1++B1+-+P1+-+P1++G1++G1))-+(+H1++E1++D1++E1))
-(+I0++(+H1++E1++D1++E1))--(+C0++S0))
+I2
-((++(-(+y1)++B1++B1+-+P1+-+P1++G1++G1))-(+C1(+d1)++S1))
| +H2-+D2-+H2+(+(+D1-(+P1++D1)))
| ∀x (In(x, frannysFamily) ∧ (Drink(x, kombucha) ∨ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y))))))
∀x (In(x, frannysFamily) ∧ (∃y (Drink(x, cocaCola) ∨ (PepsiProduct(y) ∧ Drink(x, y)))) → (∃y ∃z (¬(y=z) ∧ BusyParent(y) ∧ BusyParent(z) ∧ ¬Pack(y, lunch) ∧ ¬Pack(z, lunch) ∧ GrowUpWith(x, y) ∧ GrowUpWith(x, z... | disjunctive | all:x (in(x, frannysfamily) & (drink(x, kombucha) | (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y))))))
all:x (in(x, frannysfamily) & (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) :- (some:y some:z (~(y=z) & busyparent(y) & busyparent(z) & ~pack(y, lunch) & ~pack(z, lunch) & growupwith(... | havetovisitfrequently(damon, dentist) | drink(damon, kombucha, everyday) :- havetovisitfrequently(damon, dentist) & (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) | all:x (in(x, frannysfamily) & (drink(x, kombucha) | (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y))))))
all:x (in(x, frannysfamily) & (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) :- (some:y some:z (not(y=z) & busyparent(y) & busyparent(z) & notpack(y, lunch) & notpack(z, lunch) & growu... | havetovisitfrequently(damon, dentist) | drink(damon, kombucha, everyday) :- havetovisitfrequently(damon, dentist) & (some:y (drink(x, cocacola) | (pepsiproduct(y) & drink(x, y)))) | all:x (in(x, frannysfamily) , (drink(x, kombucha) | (some:y (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y))))))
all:x (in(x, frannysfamily) , (some:y (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y)))) :- (some:y some:z (~(y=z) , busyparent(y) , busyparent(z) , ~pack(y, lunch) , ~pack(z, lunch) , growupwith(... | havetovisitfrequently(damon, dentist) | drink(damon, kombucha, everyday) :- havetovisitfrequently(damon, dentist) , (some:y (drink(x, cocacola) | (pepsiproduct(y) , drink(x, y)))) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... |
108 | The world's only major large passenger aircraft manufacturers are Boeing and Airbus.
All American Airlines planes are from the world's major large passenger aircraft manufacturers.
Airbus made more revenue than Boeing last year. | ∀x (WorldMajorLargePassengerAircraftManufacturer(x) → x=boeing ⊕ x=airbus)
∀x (AmericanAirlinesAircraft(x) → WorldMajorLargePassengerAircraftManufacturer(x))
MoreInRevenue(airbus, boeing) | There does not exist a United Airlines plane produced by Boeing. | ∀x (UnitedAirlinesAircraft(x) → ¬(x=boeing)) | Uncertain | 328 | forall x (worldmajorlargepassengeraircraftmanufacturer(x) implies x=boeing xor x=airbus)
forall x (americanairlinesaircraft(x) implies worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | forall x (unitedairlinesaircraft(x) implies not (x=boeing)) | forall (worldmajorlargepassengeraircraftmanufacturer(x) -: x=boeing ^ x=airbus)
forall (americanairlinesaircraft(x) -: worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | forall (unitedairlinesaircraft(x) -: not(x=boeing)) | [@every *x [(worldmajorlargepassengeraircraftmanufacturer[(?x)] x=boeing x=airbus)]
@every *x [(americanairlinesaircraft[(?x)] worldmajorlargepassengeraircraftmanufacturer[(?x)])]
moreinrevenue[(airbus boeing)]] | [@every *x [(unitedairlinesaircraft[(?x)] ~[(?x=boeing)])]] | all:x (worldmajorlargepassengeraircraftmanufacturer(x) :- x=boeing ^ x=airbus)
all:x (americanairlinesaircraft(x) :- worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | all:x (unitedairlinesaircraft(x) :- ~(x=boeing)) | -(+W0-+x0+b0-+x0+a0)
-(+A0-+W0)
+M2
| -(+U0--(+x0+b0))
| ∀x (WorldMajorLargePassengerAircraftManufacturer(x) → x=boeing ⊕ x=airbus)
∀x (AmericanAirlinesAircraft(x) → WorldMajorLargePassengerAircraftManufacturer(x))
MoreInRevenue(airbus, boeing)∀x (UnitedAirlinesAircraft(x) → ¬(x=boeing)) | disjunctive | all:x (worldmajorlargepassengeraircraftmanufacturer(x) :- x=boeing ^ x=airbus)
all:x (americanairlinesaircraft(x) :- worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | all:x (unitedairlinesaircraft(x) :- ~(x=boeing)) | all:x (worldmajorlargepassengeraircraftmanufacturer(x) :- x=boeing ^ x=airbus)
all:x (americanairlinesaircraft(x) :- worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | all:x (unitedairlinesaircraft(x) :- not(x=boeing)) | all:x (worldmajorlargepassengeraircraftmanufacturer(x) :- x=boeing ^ x=airbus)
all:x (americanairlinesaircraft(x) :- worldmajorlargepassengeraircraftmanufacturer(x))
moreinrevenue(airbus, boeing) | all:x (unitedairlinesaircraft(x) :- ~(x=boeing)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
92 | Adventures of Rusty is a drama film and children's film.
Columbia Pictures produced Adventures of Rusty.
Tintin was produced by Paramount.
Tintin is an adventure film. | DramaFilm(adventuresOfRusty) ∧ ChildrensFilm(adventuresOfRusty)
Produces(columbiaPictures, adventuresOfRusty)
Produces(paramount, tintin)
AdventureFilm(tintin) | Paramount produces adventure films. | ∃x (AdventureFilm(x) ∧ Produces(paramount, x)) | True | 282 | dramafilm(adventuresofrusty) and childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | exists x (adventurefilm(x) and produces(paramount, x)) | dramafilm(adventuresofrusty) , childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | (adventurefilm(x) , produces(paramount, x)) | [dramafilm[(adventuresofrusty)] childrensfilm[(adventuresofrusty)]
produces[(columbiapictures adventuresofrusty)]
produces[(paramount tintin)]
adventurefilm[(tintin)]] | [*x [(adventurefilm[(?x)] produces[(paramount x)])]] | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | x (adventurefilm(x) & produces(paramount, x)) | +D2(+a2)++C2(+a2)
+P2
+P2
+A2(+t2)
| +(+A1++P1)
| DramaFilm(adventuresOfRusty) ∧ ChildrensFilm(adventuresOfRusty)
Produces(columbiaPictures, adventuresOfRusty)
Produces(paramount, tintin)
AdventureFilm(tintin)∃x (AdventureFilm(x) ∧ Produces(paramount, x)) | complex | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (adventurefilm(x) & produces(paramount, x)) | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (adventurefilm(x) & produces(paramount, x)) | dramafilm(adventuresofrusty) , childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (adventurefilm(x) , produces(paramount, x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'D'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'd'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
373 | All hodophiles who enjoy eating gelato ice cream would enjoy a vacation to Italy.
No hodophiles can resist the hallmark delectable desserts famous in Italy.
Hodophiles enjoy eating gelato ice cream or love to travel and vacation often, or both.
No hodophiles who study abroad in Europe regret their college experience... | ∀x (Hodophiles(x) ∧ EnjoyEating(x, gelato) → Enjoy(x, vacationToItaly))
∀x (Hodophiles(x) ∧ ¬(∃y (Resist(x, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy))))
∀x (Hodophiles(x) → (EnjoyEating(x, gelato) ∨ LoveToTravelOften(x))
∀x (Hodophiles(x) ∧ TakeIn(x, studyAbroadSemester, europe) → ¬Regret(x, ... | If Robert either would both enjoy a vacation to Italy and regrets his college experiences or neither would enjoy a vacation to Italy nor regrets his college experiences, then Robert would either enjoy a vacation to Italy or he can resist the hallmark delectable desserts that are famous in Italy. | ¬((Enjoy(robert, vacation) ∧ In(vacation, italy)) ⊕ Regret(x, collegeExperiences)) → Enjoy(robert, vacation) ∧ In(vacation, italy) ⊕ (∃y (Resist(robert, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy)) | True | 994 | forall x (hodophiles(x) and enjoyeating(x, gelato) implies enjoy(x, vacationtoitaly))
forall x (hodophiles(x) and not (exists y (resist(x, y) and hallmark(y) and delectabl(y) and dessert(y) and famousin(y, italy))))
forall x (hodophiles(x) implies (enjoyeating(x, gelato) or lovetotraveloften(x))
forall x (hodophiles... | not ((enjoy(robert, vacation) and in(vacation, italy)) xor regret(x, collegeexperiences)) implies enjoy(robert, vacation) and in(vacation, italy) xor (exists y (resist(robert, y) and hallmark(y) and delectabl(y) and dessert(y) and famousin(y, italy)) | forall (hodophiles(x) , enjoyeating(x, gelato) -: enjoy(x, vacationtoitaly))
forall (hodophiles(x) , not( (resist(x, y) , hallmark(y) , delectabl(y) , dessert(y) , famousin(y, italy))))
forall (hodophiles(x) -: (enjoyeating(x, gelato) | lovetotraveloften(x))
forall (hodophiles(x) , takein(x, studyabroadsemester, eur... | not((enjoy(robert, vacation) , in(vacation, italy)) ^ regret(x, collegeexperiences)) -: enjoy(robert, vacation) , in(vacation, italy) ^ ( (resist(robert, y) , hallmark(y) , delectabl(y) , dessert(y) , famousin(y, italy)) | [@every *x [(hodophiles[(?x)] enjoyeating[(?x gelato)] enjoy[(?x vacationtoitaly)])]
@every *x [(hodophiles[(?x)] ~[(*y [(resist[(?x y)] hallmark[(?y)] delectabl[(?y)] dessert[(?y)] famousin[(?y italy)])])])]
@every *x [(hodophiles[(?x)] [(enjoyeating[(?x gelato)] lovetotraveloften[(?x)])]
@every *x [(... | ~[[([(enjoy[(robert vacation)] in[(vacation italy)])] regret[(x collegeexperiences)])] enjoy[(robert vacation)] in[(vacation italy)] [(*y [(resist[(robert y)] hallmark[(?y)] delectabl[(?y)] dessert[(?y)] famousin[(?y italy)])]] | all:x (hodophiles(x) & enjoyeating(x, gelato) :- enjoy(x, vacationtoitaly))
all:x (hodophiles(x) & ~(y (resist(x, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy))))
all:x (hodophiles(x) :- (enjoyeating(x, gelato) | lovetotraveloften(x))
all:x (hodophiles(x) & takein(x, studyabroadsemester, europe) ... | ~((enjoy(robert, vacation) & in(vacation, italy)) ^ regret(x, collegeexperiences)) :- enjoy(robert, vacation) & in(vacation, italy) ^ (y (resist(robert, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy)) | -(+H0++E0-+E0)
-(+H0+-(+(+R1++H1++D1++D1++F1)))
-(+H0-(+E0-+L0)
-(+H0++T0--+R0)
-(+H0++L0-+T0)
+H2(+r2)+-(+E2-+L2(+r2))
| -((+E2++I2)-+R2)-+E2++I2-(+(+R1++H1++D1++D1++F1)
| ∀x (Hodophiles(x) ∧ EnjoyEating(x, gelato) → Enjoy(x, vacationToItaly))
∀x (Hodophiles(x) ∧ ¬(∃y (Resist(x, y) ∧ Hallmark(y) ∧ Delectabl(y) ∧ Dessert(y) ∧ FamousIn(y, italy))))
∀x (Hodophiles(x) → (EnjoyEating(x, gelato) ∨ LoveToTravelOften(x))
∀x (Hodophiles(x) ∧ TakeIn(x, studyAbroadSemester, europe) → ¬Regret(x, ... | disjunctive | all:x (hodophiles(x) & enjoyeating(x, gelato) :- enjoy(x, vacationtoitaly))
all:x (hodophiles(x) & ~(some:y (resist(x, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy))))
all:x (hodophiles(x) :- (enjoyeating(x, gelato) | lovetotraveloften(x))
all:x (hodophiles(x) & takein(x, studyabroadsemester, eur... | ~((enjoy(robert, vacation) & in(vacation, italy)) ^ regret(x, collegeexperiences)) :- enjoy(robert, vacation) & in(vacation, italy) ^ (some:y (resist(robert, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy)) | all:x (hodophiles(x) & enjoyeating(x, gelato) :- enjoy(x, vacationtoitaly))
all:x (hodophiles(x) & not(some:y (resist(x, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy))))
all:x (hodophiles(x) :- (enjoyeating(x, gelato) | lovetotraveloften(x))
all:x (hodophiles(x) & takein(x, studyabroadsemester, e... | not((enjoy(robert, vacation) & in(vacation, italy)) ^ regret(x, collegeexperiences)) :- enjoy(robert, vacation) & in(vacation, italy) ^ (some:y (resist(robert, y) & hallmark(y) & delectabl(y) & dessert(y) & famousin(y, italy)) | all:x (hodophiles(x) , enjoyeating(x, gelato) :- enjoy(x, vacationtoitaly))
all:x (hodophiles(x) , ~(some:y (resist(x, y) , hallmark(y) , delectabl(y) , dessert(y) , famousin(y, italy))))
all:x (hodophiles(x) :- (enjoyeating(x, gelato) | lovetotraveloften(x))
all:x (hodophiles(x) , takein(x, studyabroadsemester, eur... | ~((enjoy(robert, vacation) , in(vacation, italy)) ^ regret(x, collegeexperiences)) :- enjoy(robert, vacation) , in(vacation, italy) ^ (some:y (resist(robert, y) , hallmark(y) , delectabl(y) , dessert(y) , famousin(y, italy)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'childr... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'children'... |
316 | There are no mansion houses in an urban area.
All skyscrapers are in urban areas.
Every creepy haunted house is a mansion house.
Every terrifying building on Halloween is a creepy haunted house.
The LaLaurie House is a creepy haunted house or a terrifying building on Halloween. | ∀x (InUrbanArea(x) → ¬MansionHouse(x))
∀x (Skyscraper(x) → InUrbanArea(x))
∀x (CreepyHauntedHouse(x) → MansionHouse(x))
∀x (TerrifyingBuilding(x) ∧ OnHalloween(x) → CreepyHauntedHouse(x))
CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse) | The LaLaurie House is a skyscraper. | Skyscraper(laLaurieHouse) | False | 789 | forall x (inurbanarea(x) implies not mansionhouse(x))
forall x (skyscraper(x) implies inurbanarea(x))
forall x (creepyhauntedhouse(x) implies mansionhouse(x))
forall x (terrifyingbuilding(x) and onhalloween(x) implies creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) or terrifyingbuilding(lalauriehouse) and ... | skyscraper(lalauriehouse) | forall (inurbanarea(x) -: notmansionhouse(x))
forall (skyscraper(x) -: inurbanarea(x))
forall (creepyhauntedhouse(x) -: mansionhouse(x))
forall (terrifyingbuilding(x) , onhalloween(x) -: creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) , onhalloween(lalauriehouse) | skyscraper(lalauriehouse) | [@every *x [(inurbanarea[(?x)] ~mansionhouse[(?x)])]
@every *x [(skyscraper[(?x)] inurbanarea[(?x)])]
@every *x [(creepyhauntedhouse[(?x)] mansionhouse[(?x)])]
@every *x [(terrifyingbuilding[(?x)] onhalloween[(?x)] creepyhauntedhouse[(?x)])]
creepyhauntedhouse[(lalauriehouse)] terrifyingbuilding[(lalauriehous... | [skyscraper[(lalauriehouse)]] | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) | -(+I0--+M0)
-(+S0-+I0)
-(+C0-+M0)
-(+T0++O0-+C0)
+C2(+l2)-+T2(+l2)++O2(+l2)
| +S2(+l2)
| ∀x (InUrbanArea(x) → ¬MansionHouse(x))
∀x (Skyscraper(x) → InUrbanArea(x))
∀x (CreepyHauntedHouse(x) → MansionHouse(x))
∀x (TerrifyingBuilding(x) ∧ OnHalloween(x) → CreepyHauntedHouse(x))
CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse)Skyscraper(laLaurieHouse) | disjunctive | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) | all:x (inurbanarea(x) :- notmansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) , onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) , onhalloween(lalauriehouse) | skyscraper(lalauriehouse) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'S'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER', 'text': 'y'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER', 'text': 'y'}, {'type': 'LETTER'... |
6 | Boves is a railway station located in France.
The preceding station of Boves is Longueau.
The preceding station of Dommartin is Boves.
France is a European country.
Dommartin is situated on the Paris–Lille railway.
Any two contiguous stations are on the same railway.
Boves is served by regional TER Hauts-de-Fra... | RailwayStation(boves) ∧ In(boves, france)
Precede(longueau, boves)
Precede(boves, dommartin)
In(france, europe)
SituatedOn(dommartin, pairsLille)
∀x ∀y ∀z ((SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z))
Serve(boves, hautsDeFrance)
∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z))
∀x ∀y ∀z ((P... | Longueau is situated on the Paris–Lille railway. | SituatedOn(longueau, pairsLille) | True | 14 | railwaystation(boves) and in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
forall x forall y forall z ((situatedon(x, z) and (precede(x, y) or precede(y, x)) implies situatedon(y, z))
serve(boves, hautsdefrance)
forall x forall y forall z (... | situatedon(longueau, pairslille) | railwaystation(boves) , in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
forall forall forall ((situatedon(x, z) , (precede(x, y) | precede(y, x)) -: situatedon(y, z))
serve(boves, hautsdefrance)
forall forall forall ((in(x, y) , in(y, z)) ... | situatedon(longueau, pairslille) | [railwaystation[(boves)] in[(boves france)]
precede[(longueau boves)]
precede[(boves dommartin)]
in[(france europe)]
situatedon[(dommartin pairslille)]
@every *x @every *y @every *z [([(situatedon[(?x z)] [(precede[(?x y)] precede[(?y x)])] situatedon[(?y z)])]
serve[(boves hautsdefrance)]
@every *... | [situatedon[(longueau pairslille)]] | railwaystation(boves) & in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
all:x all:y all:z ((situatedon(x, z) & (precede(x, y) | precede(y, x)) :- situatedon(y, z))
serve(boves, hautsdefrance)
all:x all:y all:z ((in(x, y) & in(y, z)) :- in(... | situatedon(longueau, pairslille) | +R2(+b2)++I2
+P2
+P2
+I2
+S2
---((+S0+(+P0-+P0)-+S0)
+S2
---((+I0++I0)-+I0)
---((+P0++P0)-+P0)
| +S2
| RailwayStation(boves) ∧ In(boves, france)
Precede(longueau, boves)
Precede(boves, dommartin)
In(france, europe)
SituatedOn(dommartin, pairsLille)
∀x ∀y ∀z ((SituatedOn(x, z) ∧ (Precede(x, y) ∨ Precede(y, x)) → SituatedOn(y, z))
Serve(boves, hautsDeFrance)
∀x ∀y ∀z ((In(x, y) ∧ In(y, z)) → In(x, z))
∀x ∀y ∀z ((P... | disjunctive | railwaystation(boves) & in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
all:x all:y all:z ((situatedon(x, z) & (precede(x, y) | precede(y, x)) :- situatedon(y, z))
serve(boves, hautsdefrance)
all:x all:y all:z ((in(x, y) & in(y, z)) :- in(... | situatedon(longueau, pairslille) | railwaystation(boves) & in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
all:x all:y all:z ((situatedon(x, z) & (precede(x, y) | precede(y, x)) :- situatedon(y, z))
serve(boves, hautsdefrance)
all:x all:y all:z ((in(x, y) & in(y, z)) :- in(... | situatedon(longueau, pairslille) | railwaystation(boves) , in(boves, france)
precede(longueau, boves)
precede(boves, dommartin)
in(france, europe)
situatedon(dommartin, pairslille)
all:x all:y all:z ((situatedon(x, z) , (precede(x, y) | precede(y, x)) :- situatedon(y, z))
serve(boves, hautsdefrance)
all:x all:y all:z ((in(x, y) , in(y, z)) :- in(... | situatedon(longueau, pairslille) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'R'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'S'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'r'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
212 | If you have room for dessert, you have room for broccoli.
Everyone at Luis's dinner party has room for dessert, including Luis.
Mauricia does not have room for broccoli.
Luis's dinner party is the first ever dinner party that Allison has attended.
Gustave has room for both broccoli and asparagus.
Broccoli and aspa... | ∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))
∀x (AtLuisParty(x) → RoomFor(x, dessert))
¬RoomFor(mauricia, broccoli)
AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison)
RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)
Vegetable(broccoli) ∧ Vegetable(asparagus) | Allison has room for broccoli. | RoomFor(allison, broccoli) | True | 605 | forall x (roomfor(x, dessert) implies roomfor(x, broccoli))
forall x (atluisparty(x) implies roomfor(x, dessert))
not roomfor(mauricia, broccoli)
atluisparty(allison) and firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) and roomfor(gustave, asparagus)
vegetable(broccoli) and vegetable(asparagus) | roomfor(allison, broccoli) | forall (roomfor(x, dessert) -: roomfor(x, broccoli))
forall (atluisparty(x) -: roomfor(x, dessert))
notroomfor(mauricia, broccoli)
atluisparty(allison) , firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) , roomfor(gustave, asparagus)
vegetable(broccoli) , vegetable(asparagus) | roomfor(allison, broccoli) | [@every *x [(roomfor[(?x dessert)] roomfor[(?x broccoli)])]
@every *x [(atluisparty[(?x)] roomfor[(?x dessert)])]
~roomfor[(mauricia broccoli)]
atluisparty[(allison)] firstdinnerpartyfor[(luisparty allison)]
roomfor[(gustave broccoli)] roomfor[(gustave asparagus)]
vegetable[(broccoli)] vegetable[(aspa... | [roomfor[(allison broccoli)]] | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(allison, broccoli) | -(+R0-+R0)
-(+A0-+R0)
-+R2
+A2(+a2)++F2
+R2++R2
+V2(+b2)++V2(+a2)
| +R2
| ∀x (RoomFor(x, dessert) → RoomFor(x, broccoli))
∀x (AtLuisParty(x) → RoomFor(x, dessert))
¬RoomFor(mauricia, broccoli)
AtLuisParty(allison) ∧ FirstDinnerPartyFor(luisparty, allison)
RoomFor(gustave, broccoli) ∧ RoomFor(gustave, asparagus)
Vegetable(broccoli) ∧ Vegetable(asparagus)RoomFor(allison, broccoli) | complex | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(allison, broccoli) | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
notroomfor(mauricia, broccoli)
atluisparty(allison) & firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) & roomfor(gustave, asparagus)
vegetable(broccoli) & vegetable(asparagus) | roomfor(allison, broccoli) | all:x (roomfor(x, dessert) :- roomfor(x, broccoli))
all:x (atluisparty(x) :- roomfor(x, dessert))
~roomfor(mauricia, broccoli)
atluisparty(allison) , firstdinnerpartyfor(luisparty, allison)
roomfor(gustave, broccoli) , roomfor(gustave, asparagus)
vegetable(broccoli) , vegetable(asparagus) | roomfor(allison, broccoli) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'R'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
476 | All phones are things.
All cell phones are phones.
All iPhones are cell phones.
All employees are wage earners.
All wage earners are human.
Jack is either an employee or a wage earner.
Jack is either a human or a phone. | ∀x (Phone(x) → Thing(x))
∀x (Cellphone(x) → Phone(x))
∀x (Iphone(x) → Cellphone(x))
∀x (Employee(x) → WageEarner(x))
∀x (WageEarner(x) → Human(x))
Employee(jack) ⊕ WageEarner(jack)
Human(jack) ⊕ Phone(jack) | Jack is a thing. | Thing(jack) | Uncertain | 1,381 | forall x (phone(x) implies thing(x))
forall x (cellphone(x) implies phone(x))
forall x (iphone(x) implies cellphone(x))
forall x (employee(x) implies wageearner(x))
forall x (wageearner(x) implies human(x))
employee(jack) xor wageearner(jack)
human(jack) xor phone(jack) | thing(jack) | forall (phone(x) -: thing(x))
forall (cellphone(x) -: phone(x))
forall (iphone(x) -: cellphone(x))
forall (employee(x) -: wageearner(x))
forall (wageearner(x) -: human(x))
employee(jack) ^ wageearner(jack)
human(jack) ^ phone(jack) | thing(jack) | [@every *x [(phone[(?x)] thing[(?x)])]
@every *x [(cellphone[(?x)] phone[(?x)])]
@every *x [(iphone[(?x)] cellphone[(?x)])]
@every *x [(employee[(?x)] wageearner[(?x)])]
@every *x [(wageearner[(?x)] human[(?x)])]
employee[(jack)] wageearner[(jack)]
human[(jack)] phone[(jack)]] | [thing[(jack)]] | all:x (phone(x) :- thing(x))
all:x (cellphone(x) :- phone(x))
all:x (iphone(x) :- cellphone(x))
all:x (employee(x) :- wageearner(x))
all:x (wageearner(x) :- human(x))
employee(jack) ^ wageearner(jack)
human(jack) ^ phone(jack) | thing(jack) | -(+P0-+T0)
-(+C0-+P0)
-(+I0-+C0)
-(+E0-+W0)
-(+W0-+H0)
+E2(+j2)-+W2(+j2)
+H2(+j2)-+P2(+j2)
| +T2(+j2)
| ∀x (Phone(x) → Thing(x))
∀x (Cellphone(x) → Phone(x))
∀x (Iphone(x) → Cellphone(x))
∀x (Employee(x) → WageEarner(x))
∀x (WageEarner(x) → Human(x))
Employee(jack) ⊕ WageEarner(jack)
Human(jack) ⊕ Phone(jack)Thing(jack) | disjunctive | all:x (phone(x) :- thing(x))
all:x (cellphone(x) :- phone(x))
all:x (iphone(x) :- cellphone(x))
all:x (employee(x) :- wageearner(x))
all:x (wageearner(x) :- human(x))
employee(jack) ^ wageearner(jack)
human(jack) ^ phone(jack) | thing(jack) | all:x (phone(x) :- thing(x))
all:x (cellphone(x) :- phone(x))
all:x (iphone(x) :- cellphone(x))
all:x (employee(x) :- wageearner(x))
all:x (wageearner(x) :- human(x))
employee(jack) ^ wageearner(jack)
human(jack) ^ phone(jack) | thing(jack) | all:x (phone(x) :- thing(x))
all:x (cellphone(x) :- phone(x))
all:x (iphone(x) :- cellphone(x))
all:x (employee(x) :- wageearner(x))
all:x (wageearner(x) :- human(x))
employee(jack) ^ wageearner(jack)
human(jack) ^ phone(jack) | thing(jack) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'T'}, {'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 't'}, {'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER'... |
163 | There are eight federal districts of Russia: Central, Northwestern, Southern, North Caucasian, Volga, Ural, Siberian, and Far Eastern.
The Central federal district has the largest population among all federal districts in Russia.
Moscow is the administrative center of the Central federal district.
Yekaterinburg is t... | FederalDistrictOf(central, russia) ∧ FederalDistrictOf(northwestern, russia) ∧ FederalDistrictOf(southern, russia) ∧ FederalDistrictOf(northcaucasian, russia) ∧ FederalDistrictOf(volga, russia) ∧ FederalDistrictOf(ural, russia) ∧ FederalDistrictOf(siberian, russia) ∧ FederalDistrictOf(fareastern, russia)
LargestPopula... | The Northwestern federal district was established in 2000. | EstablishedIn(northwestern, 2000) | Uncertain | 469 | federaldistrictof(central, russia) and federaldistrictof(northwestern, russia) and federaldistrictof(southern, russia) and federaldistrictof(northcaucasian, russia) and federaldistrictof(volga, russia) and federaldistrictof(ural, russia) and federaldistrictof(siberian, russia) and federaldistrictof(fareastern, russia)
... | establishedin(northwestern, 2000) | federaldistrictof(central, russia) , federaldistrictof(northwestern, russia) , federaldistrictof(southern, russia) , federaldistrictof(northcaucasian, russia) , federaldistrictof(volga, russia) , federaldistrictof(ural, russia) , federaldistrictof(siberian, russia) , federaldistrictof(fareastern, russia)
largestpopula... | establishedin(northwestern, 2000) | [federaldistrictof[(central russia)] federaldistrictof[(northwestern russia)] federaldistrictof[(southern russia)] federaldistrictof[(northcaucasian russia)] federaldistrictof[(volga russia)] federaldistrictof[(ural russia)] federaldistrictof[(siberian russia)] federaldistrictof[(fareastern russia)]
lar... | [establishedin[(northwestern 2000)]] | federaldistrictof(central, russia) & federaldistrictof(northwestern, russia) & federaldistrictof(southern, russia) & federaldistrictof(northcaucasian, russia) & federaldistrictof(volga, russia) & federaldistrictof(ural, russia) & federaldistrictof(siberian, russia) & federaldistrictof(fareastern, russia)
largestpopula... | establishedin(northwestern, 2000) | +F2++F2++F2++F2++F2++F2++F2++F2
+L2(+c2)
+A2
+A2
+A2
+L2(+f2)
+(+F1++E1)
| +E2
| FederalDistrictOf(central, russia) ∧ FederalDistrictOf(northwestern, russia) ∧ FederalDistrictOf(southern, russia) ∧ FederalDistrictOf(northcaucasian, russia) ∧ FederalDistrictOf(volga, russia) ∧ FederalDistrictOf(ural, russia) ∧ FederalDistrictOf(siberian, russia) ∧ FederalDistrictOf(fareastern, russia)
LargestPopula... | complex | federaldistrictof(central, russia) & federaldistrictof(northwestern, russia) & federaldistrictof(southern, russia) & federaldistrictof(northcaucasian, russia) & federaldistrictof(volga, russia) & federaldistrictof(ural, russia) & federaldistrictof(siberian, russia) & federaldistrictof(fareastern, russia)
largestpopula... | establishedin(northwestern, 2000) | federaldistrictof(central, russia) & federaldistrictof(northwestern, russia) & federaldistrictof(southern, russia) & federaldistrictof(northcaucasian, russia) & federaldistrictof(volga, russia) & federaldistrictof(ural, russia) & federaldistrictof(siberian, russia) & federaldistrictof(fareastern, russia)
largestpopula... | establishedin(northwestern, 2000) | federaldistrictof(central, russia) , federaldistrictof(northwestern, russia) , federaldistrictof(southern, russia) , federaldistrictof(northcaucasian, russia) , federaldistrictof(volga, russia) , federaldistrictof(ural, russia) , federaldistrictof(siberian, russia) , federaldistrictof(fareastern, russia)
largestpopula... | establishedin(northwestern, 2000) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
19 | Thomas Barber was an English professional footballer.
Thomas Barber played in the Football League for Aston Villa.
Thomas Barber played as a halfback and inside left.
Thomas Barber scored the winning goal in the 1913 FA Cup Final. | English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber)
PlayedFor(thomasBarber, astonVilla) ∧ PlayedIn(astonVilla,theFootballLeague)
PlayedAs(thomasBarber, halfBack) ∧ PlayedAs(thomasBarber, insideLeft)
ScoredTheWinningGoalIn(thomasBarber, facupfinal1913) | Thomas Barber played in the Football League for Bolton Wanderers | PlayedFor(thomasBarber, boltonWanderers) ∧ PlayedIn(boltonWanderers,theFootballLeague) | Uncertain | 54 | english(thomasbarber) and professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) and playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) and playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) and playedin(boltonwanderers,thefootballleague) | english(thomasbarber) , professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) , playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) , playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) , playedin(boltonwanderers,thefootballleague) | [english[(thomasbarber)] professionalfootballer[(thomasbarber)]
playedfor[(thomasbarber astonvilla)] playedin[(astonvilla thefootballleague)]
playedas[(thomasbarber halfback)] playedas[(thomasbarber insideleft)]
scoredthewinninggoalin[(thomasbarber facupfinal1913)]] | [playedfor[(thomasbarber boltonwanderers)] playedin[(boltonwanderers thefootballleague)]] | english(thomasbarber) & professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) & playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) & playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) & playedin(boltonwanderers,thefootballleague) | +E2(+t2)++P2(+t2)
+P2++P2
+P2++P2
+S2
| +P2++P2
| English(thomasBarber) ∧ ProfessionalFootballer(thomasBarber)
PlayedFor(thomasBarber, astonVilla) ∧ PlayedIn(astonVilla,theFootballLeague)
PlayedAs(thomasBarber, halfBack) ∧ PlayedAs(thomasBarber, insideLeft)
ScoredTheWinningGoalIn(thomasBarber, facupfinal1913)PlayedFor(thomasBarber, boltonWanderers) ∧ PlayedIn(bolto... | complex | english(thomasbarber) & professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) & playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) & playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) & playedin(boltonwanderers,thefootballleague) | english(thomasbarber) & professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) & playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) & playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) & playedin(boltonwanderers,thefootballleague) | english(thomasbarber) , professionalfootballer(thomasbarber)
playedfor(thomasbarber, astonvilla) , playedin(astonvilla,thefootballleague)
playedas(thomasbarber, halfback) , playedas(thomasbarber, insideleft)
scoredthewinninggoalin(thomasbarber, facupfinal1913) | playedfor(thomasbarber, boltonwanderers) , playedin(boltonwanderers,thefootballleague) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'... |
392 | All prime numbers are natural numbers.
All integers are real numbers.
All real numbers are complex numbers.
One is a prime number or a natural number or both.
If one is not a complex number, then one is a prime number and an integer. | ∀x (PrimeNumber(x) → NaturalNumber(x))
∀x (Integer(x) → RealNumber(x))
∀x (RealNumber(x) → ComplexNumber(x))
PrimeNumber(one) ∨ NaturalNumber(one)
¬ComplexNumber(one) → (PrimeNumber(one) ∧ Integer(one)) | One is a real number. | RealNumber(one) | Uncertain | 1,057 | forall x (primenumber(x) implies naturalnumber(x))
forall x (integer(x) implies realnumber(x))
forall x (realnumber(x) implies complexnumber(x))
primenumber(one) or naturalnumber(one)
not complexnumber(one) implies (primenumber(one) and integer(one)) | realnumber(one) | forall (primenumber(x) -: naturalnumber(x))
forall (integer(x) -: realnumber(x))
forall (realnumber(x) -: complexnumber(x))
primenumber(one) | naturalnumber(one)
notcomplexnumber(one) -: (primenumber(one) , integer(one)) | realnumber(one) | [@every *x [(primenumber[(?x)] naturalnumber[(?x)])]
@every *x [(integer[(?x)] realnumber[(?x)])]
@every *x [(realnumber[(?x)] complexnumber[(?x)])]
primenumber[(one)] naturalnumber[(one)]
~complexnumber[(one)] [(primenumber[(one)] integer[(one)])]] | [realnumber[(one)]] | all:x (primenumber(x) :- naturalnumber(x))
all:x (integer(x) :- realnumber(x))
all:x (realnumber(x) :- complexnumber(x))
primenumber(one) | naturalnumber(one)
~complexnumber(one) :- (primenumber(one) & integer(one)) | realnumber(one) | -(+P0-+N0)
-(+I0-+R0)
-(+R0-+C0)
+P2(+o2)-+N2(+o2)
-+C2(+o2)-(+P2(+o2)++I2(+o2))
| +R2(+o2)
| ∀x (PrimeNumber(x) → NaturalNumber(x))
∀x (Integer(x) → RealNumber(x))
∀x (RealNumber(x) → ComplexNumber(x))
PrimeNumber(one) ∨ NaturalNumber(one)
¬ComplexNumber(one) → (PrimeNumber(one) ∧ Integer(one))RealNumber(one) | disjunctive | all:x (primenumber(x) :- naturalnumber(x))
all:x (integer(x) :- realnumber(x))
all:x (realnumber(x) :- complexnumber(x))
primenumber(one) | naturalnumber(one)
~complexnumber(one) :- (primenumber(one) & integer(one)) | realnumber(one) | all:x (primenumber(x) :- naturalnumber(x))
all:x (integer(x) :- realnumber(x))
all:x (realnumber(x) :- complexnumber(x))
primenumber(one) | naturalnumber(one)
notcomplexnumber(one) :- (primenumber(one) & integer(one)) | realnumber(one) | all:x (primenumber(x) :- naturalnumber(x))
all:x (integer(x) :- realnumber(x))
all:x (realnumber(x) :- complexnumber(x))
primenumber(one) | naturalnumber(one)
~complexnumber(one) :- (primenumber(one) , integer(one)) | realnumber(one) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'R'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER'... |
81 | Quiksilver sells sportswear, clothing, footwear, and accessories.
Flannels are a type of clothing.
Joe owns an item from Quiksilver. | ∀x (Sells(quiksilver, x) → (Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)))
Clothing(flannel)
∃x (Sells(quiksilver, x) ∧ Owns(joe, x)) | Joe owns at least one piece of sportswear, clothing, footwear, or accessory | ∃x (Owns(joe, x) ∧ Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)) | True | 248 | forall x (sells(quiksilver, x) implies (sportswear(x) or clothing(x) or footwear(x) or accessory(x)))
clothing(flannel)
exists x (sells(quiksilver, x) and owns(joe, x)) | exists x (owns(joe, x) and sportswear(x) or clothing(x) or footwear(x) or accessory(x)) | forall (sells(quiksilver, x) -: (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
(sells(quiksilver, x) , owns(joe, x)) | (owns(joe, x) , sportswear(x) | clothing(x) | footwear(x) | accessory(x)) | [@every *x [(sells[(quiksilver x)] [(sportswear[(?x)] clothing[(?x)] footwear[(?x)] accessory[(?x)])])]
clothing[(flannel)]
*x [(sells[(quiksilver x)] owns[(joe x)])]] | [*x [(owns[(joe x)] sportswear[(?x)] clothing[(?x)] footwear[(?x)] accessory[(?x)])]] | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
x (sells(quiksilver, x) & owns(joe, x)) | x (owns(joe, x) & sportswear(x) | clothing(x) | footwear(x) | accessory(x)) | -(+S0-(+S0-+C0-+F0-+A0))
+C2(+f2)
+(+S1++O1)
| +(+O1++S1-+C1-+F1-+A1)
| ∀x (Sells(quiksilver, x) → (Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)))
Clothing(flannel)
∃x (Sells(quiksilver, x) ∧ Owns(joe, x))∃x (Owns(joe, x) ∧ Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)) | disjunctive | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) & owns(joe, x)) | some:x (owns(joe, x) & sportswear(x) | clothing(x) | footwear(x) | accessory(x)) | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) & owns(joe, x)) | some:x (owns(joe, x) & sportswear(x) | clothing(x) | footwear(x) | accessory(x)) | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) , owns(joe, x)) | some:x (owns(joe, x) , sportswear(x) | clothing(x) | footwear(x) | accessory(x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
430 | Hermes bags are not made in Italy.
All Birkin bags are Hermes 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 Hermes bag,... | ∀x ((Bag(x) ∧ Hermes(x)) → ¬MadeIn(x, italy))
∀x ((Bag(x) ∧ Birkin(x)) → Hermes(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(kell... | A Kelly bag is a Birkin bag made in Maranello. | Bag(kelly) ∧ MadeIn(kelly, maranello) ∧ Birkin(kelly) | False | 1,225 | forall x ((bag(x) and hermes(x)) implies not madein(x, italy))
forall x ((bag(x) and birkin(x)) implies hermes(x))
forall x (ferrari(x) implies madein(x, italy))
forall x ((car(x) and carry(x, ferrariv12engine)) implies ferrrari(x))
forall x ((car(x) and madein(x, maranello)) implies carry(x, ferrariv12engine))
no... | bag(kelly) and madein(kelly, maranello) and birkin(kelly) | forall ((bag(x) , hermes(x)) -: notmadein(x, italy))
forall ((bag(x) , birkin(x)) -: hermes(x))
forall (ferrari(x) -: madein(x, italy))
forall ((car(x) , carry(x, ferrariv12engine)) -: ferrrari(x))
forall ((car(x) , madein(x, maranello)) -: carry(x, ferrariv12engine))
not(ferrari(lamborghinisuv) , madein(lamborghi... | bag(kelly) , madein(kelly, maranello) , birkin(kelly) | [@every *x [([(bag[(?x)] hermes[(?x)])] ~madein[(?x italy)])]
@every *x [([(bag[(?x)] birkin[(?x)])] hermes[(?x)])]
@every *x [(ferrari[(?x)] madein[(?x italy)])]
@every *x [([(car[(?x)] carry[(?x ferrariv12engine)])] ferrrari[(?x)])]
@every *x [([(car[(?x)] madein[(?x maranello)])] carry[(?x ferrariv... | [bag[(kelly)] madein[(kelly maranello)] birkin[(kelly)]] | all:x ((bag(x) & hermes(x)) :- ~madein(x, italy))
all:x ((bag(x) & birkin(x)) :- hermes(x))
all:x (ferrari(x) :- madein(x, italy))
all:x ((car(x) & carry(x, ferrariv12engine)) :- ferrrari(x))
all:x ((car(x) & madein(x, maranello)) :- carry(x, ferrariv12engine))
~(ferrari(lamborghinisuv) & madein(lamborghinisuv, ma... | bag(kelly) & madein(kelly, maranello) & birkin(kelly) | -((+B0++H0)--+M0)
-((+B0++B0)-+H0)
-(+F0-+M0)
-((+C0++C0)-+F0)
-((+C0++M0)-+C0)
-(+F2(+l2)++M2)
(+B2(+k2)++H2(+k2))-(+B2(+k2)++C2(+k2)++C2)
| +B2(+k2)++M2++B2(+k2)
| ∀x ((Bag(x) ∧ Hermes(x)) → ¬MadeIn(x, italy))
∀x ((Bag(x) ∧ Birkin(x)) → Hermes(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(kell... | disjunctive | all:x ((bag(x) & hermes(x)) :- ~madein(x, italy))
all:x ((bag(x) & birkin(x)) :- hermes(x))
all:x (ferrari(x) :- madein(x, italy))
all:x ((car(x) & carry(x, ferrariv12engine)) :- ferrrari(x))
all:x ((car(x) & madein(x, maranello)) :- carry(x, ferrariv12engine))
~(ferrari(lamborghinisuv) & madein(lamborghinisuv, ma... | bag(kelly) & madein(kelly, maranello) & birkin(kelly) | all:x ((bag(x) & hermes(x)) :- notmadein(x, italy))
all:x ((bag(x) & birkin(x)) :- hermes(x))
all:x (ferrari(x) :- madein(x, italy))
all:x ((car(x) & carry(x, ferrariv12engine)) :- ferrrari(x))
all:x ((car(x) & madein(x, maranello)) :- carry(x, ferrariv12engine))
not(ferrari(lamborghinisuv) & madein(lamborghinisuv... | bag(kelly) & madein(kelly, maranello) & birkin(kelly) | all:x ((bag(x) , hermes(x)) :- ~madein(x, italy))
all:x ((bag(x) , birkin(x)) :- hermes(x))
all:x (ferrari(x) :- madein(x, italy))
all:x ((car(x) , carry(x, ferrariv12engine)) :- ferrrari(x))
all:x ((car(x) , madein(x, maranello)) :- carry(x, ferrariv12engine))
~(ferrari(lamborghinisuv) , madein(lamborghinisuv, ma... | bag(kelly) , madein(kelly, maranello) , birkin(kelly) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
396 | A neuroimaging technique is either an invasive neuroimaging technique or a noninvasive neuroimaging technique.
All noninvasive neuroimaging techniques provide a spatial resolution of brains.
If a technique provides a spatial resolution of brains, then it is a measurement of brain activity.
All measurements of brai... | ∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x)))
∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains))
∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity))
∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers))
Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI)
Ne... | FMRI is either an invasive neuroimaging technique or is used by neuroscience researchers. | Invasive(fMRI) ⊕ UsedBy(fMRI, neuroscienceResearchers) | False | 1,078 | forall x (neuroimagingtechnique(x) implies (invasive(x) xor noninvasive(x)))
forall x (noninvasive(x) implies provides(x, spatialresolutionofbrains))
forall x (provides(x, spatialresolutionofbrains) implies measure(x, brainactivity))
forall x (measure(x, brainactivity) implies usedby(x, neuroscienceresearchers))
m... | invasive(fmri) xor usedby(fmri, neuroscienceresearchers) | forall (neuroimagingtechnique(x) -: (invasive(x) ^ noninvasive(x)))
forall (noninvasive(x) -: provides(x, spatialresolutionofbrains))
forall (provides(x, spatialresolutionofbrains) -: measure(x, brainactivity))
forall (measure(x, brainactivity) -: usedby(x, neuroscienceresearchers))
measure(fmri, brainactivity) ^ ... | invasive(fmri) ^ usedby(fmri, neuroscienceresearchers) | [@every *x [(neuroimagingtechnique[(?x)] [(invasive[(?x)] noninvasive[(?x)])])]
@every *x [(noninvasive[(?x)] provides[(?x spatialresolutionofbrains)])]
@every *x [(provides[(?x spatialresolutionofbrains)] measure[(?x brainactivity)])]
@every *x [(measure[(?x brainactivity)] usedby[(?x neuroscienceresearc... | [invasive[(fmri)] usedby[(fmri neuroscienceresearchers)]] | all:x (neuroimagingtechnique(x) :- (invasive(x) ^ noninvasive(x)))
all:x (noninvasive(x) :- provides(x, spatialresolutionofbrains))
all:x (provides(x, spatialresolutionofbrains) :- measure(x, brainactivity))
all:x (measure(x, brainactivity) :- usedby(x, neuroscienceresearchers))
measure(fmri, brainactivity) ^ noni... | invasive(fmri) ^ usedby(fmri, neuroscienceresearchers) | -(+N0-(+I0-+N0))
-(+N0-+P0)
-(+P0-+M0)
-(+M0-+U0)
+M2-+N2(+f2)
+N2(+f2)
| +I2(+f2)-+U2
| ∀x (NeuroimagingTechnique(x) → (Invasive(x) ⊕ Noninvasive(x)))
∀x (Noninvasive(x) → Provides(x, spatialResolutionOfBrains))
∀x (Provides(x, spatialResolutionOfBrains) → Measure(x, brainActivity))
∀x (Measure(x, brainActivity) → UsedBy(x, neuroscienceResearchers))
Measure(fMRI, brainActivity) ⊕ Noninvasive(fMRI)
N... | disjunctive | all:x (neuroimagingtechnique(x) :- (invasive(x) ^ noninvasive(x)))
all:x (noninvasive(x) :- provides(x, spatialresolutionofbrains))
all:x (provides(x, spatialresolutionofbrains) :- measure(x, brainactivity))
all:x (measure(x, brainactivity) :- usedby(x, neuroscienceresearchers))
measure(fmri, brainactivity) ^ noni... | invasive(fmri) ^ usedby(fmri, neuroscienceresearchers) | all:x (neuroimagingtechnique(x) :- (invasive(x) ^ noninvasive(x)))
all:x (noninvasive(x) :- provides(x, spatialresolutionofbrains))
all:x (provides(x, spatialresolutionofbrains) :- measure(x, brainactivity))
all:x (measure(x, brainactivity) :- usedby(x, neuroscienceresearchers))
measure(fmri, brainactivity) ^ noni... | invasive(fmri) ^ usedby(fmri, neuroscienceresearchers) | all:x (neuroimagingtechnique(x) :- (invasive(x) ^ noninvasive(x)))
all:x (noninvasive(x) :- provides(x, spatialresolutionofbrains))
all:x (provides(x, spatialresolutionofbrains) :- measure(x, brainactivity))
all:x (measure(x, brainactivity) :- usedby(x, neuroscienceresearchers))
measure(fmri, brainactivity) ^ noni... | invasive(fmri) ^ usedby(fmri, neuroscienceresearchers) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'I'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'i'}, {'... |
349 | All disposables are designed to be used only once.
Some items used in Tom's house are eco-friendly.
Every item used in Tom's house is either disposable or reusable.
If something is made from metal, then it is not made from plastic.
All reusable items used in Tom's house are made from metal.
The chopsticks used i... | ∀x (Disposable(x) → DesignedToBeOnlyUsedOnce(x))
∃x (EcoFriendly(x))
∀x (UsedIn(x, tomsHouse) → Disposable(x) ⊕ Reusable(x))
∀x (MadeFrom(x, metal) → ¬MadeFrom(x, plastic))
∀x (Reusable(x) → MadeFrom(x, metal))
¬(MadeFrom(chopsticksUsedInTomsHouse, metal) ⊕ MadeFrom(chopsticksUsedInTomsHouse, plastic)) | The chopsticks used in Tom's house are eco-friendly or designed to be used only once. | EcoFriendly(chopsticks) ∨ DesignedToBeOnlyUsedOnce(chopsticks) | True | 925 | forall x (disposable(x) implies designedtobeonlyusedonce(x))
exists x (ecofriendly(x))
forall x (usedin(x, tomshouse) implies disposable(x) xor reusable(x))
forall x (madefrom(x, metal) implies not madefrom(x, plastic))
forall x (reusable(x) implies madefrom(x, metal))
not (madefrom(chopsticksusedintomshouse, meta... | ecofriendly(chopsticks) or designedtobeonlyusedonce(chopsticks) | forall (disposable(x) -: designedtobeonlyusedonce(x))
(ecofriendly(x))
forall (usedin(x, tomshouse) -: disposable(x) ^ reusable(x))
forall (madefrom(x, metal) -: notmadefrom(x, plastic))
forall (reusable(x) -: madefrom(x, metal))
not(madefrom(chopsticksusedintomshouse, metal) ^ madefrom(chopsticksusedintomshouse,... | ecofriendly(chopsticks) | designedtobeonlyusedonce(chopsticks) | [@every *x [(disposable[(?x)] designedtobeonlyusedonce[(?x)])]
*x [(ecofriendly[(?x)])]
@every *x [(usedin[(?x tomshouse)] disposable[(?x)] reusable[(?x)])]
@every *x [(madefrom[(?x metal)] ~madefrom[(?x plastic)])]
@every *x [(reusable[(?x)] madefrom[(?x metal)])]
~[(madefrom[(chopsticksusedintomshouse ... | [ecofriendly[(chopsticks)] designedtobeonlyusedonce[(chopsticks)]] | all:x (disposable(x) :- designedtobeonlyusedonce(x))
x (ecofriendly(x))
all:x (usedin(x, tomshouse) :- disposable(x) ^ reusable(x))
all:x (madefrom(x, metal) :- ~madefrom(x, plastic))
all:x (reusable(x) :- madefrom(x, metal))
~(madefrom(chopsticksusedintomshouse, metal) ^ madefrom(chopsticksusedintomshouse, plasti... | ecofriendly(chopsticks) | designedtobeonlyusedonce(chopsticks) | -(+D0-+D0)
+(+E1)
-(+U0-+D0-+R0)
-(+M0--+M0)
-(+R0-+M0)
-(+M2-+M2)
| +E2(+c2)-+D2(+c2)
| ∀x (Disposable(x) → DesignedToBeOnlyUsedOnce(x))
∃x (EcoFriendly(x))
∀x (UsedIn(x, tomsHouse) → Disposable(x) ⊕ Reusable(x))
∀x (MadeFrom(x, metal) → ¬MadeFrom(x, plastic))
∀x (Reusable(x) → MadeFrom(x, metal))
¬(MadeFrom(chopsticksUsedInTomsHouse, metal) ⊕ MadeFrom(chopsticksUsedInTomsHouse, plastic))EcoFriendly(... | disjunctive | all:x (disposable(x) :- designedtobeonlyusedonce(x))
some:x (ecofriendly(x))
all:x (usedin(x, tomshouse) :- disposable(x) ^ reusable(x))
all:x (madefrom(x, metal) :- ~madefrom(x, plastic))
all:x (reusable(x) :- madefrom(x, metal))
~(madefrom(chopsticksusedintomshouse, metal) ^ madefrom(chopsticksusedintomshouse, p... | ecofriendly(chopsticks) | designedtobeonlyusedonce(chopsticks) | all:x (disposable(x) :- designedtobeonlyusedonce(x))
some:x (ecofriendly(x))
all:x (usedin(x, tomshouse) :- disposable(x) ^ reusable(x))
all:x (madefrom(x, metal) :- notmadefrom(x, plastic))
all:x (reusable(x) :- madefrom(x, metal))
not(madefrom(chopsticksusedintomshouse, metal) ^ madefrom(chopsticksusedintomshous... | ecofriendly(chopsticks) | designedtobeonlyusedonce(chopsticks) | all:x (disposable(x) :- designedtobeonlyusedonce(x))
some:x (ecofriendly(x))
all:x (usedin(x, tomshouse) :- disposable(x) ^ reusable(x))
all:x (madefrom(x, metal) :- ~madefrom(x, plastic))
all:x (reusable(x) :- madefrom(x, metal))
~(madefrom(chopsticksusedintomshouse, metal) ^ madefrom(chopsticksusedintomshouse, p... | ecofriendly(chopsticks) | designedtobeonlyusedonce(chopsticks) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... |
468 | All drinks on the counter are edible.
All juices on the counter are drinks.
Orange juice is a type of juice.
Everything on the counter is either orange juice or apple juice.
All apple juices on the counter are sweet.
The coke is on the counter and if the coke is apple juice, then the coke is a drink.
If the co... | ∀x (OnCounter(x) ∧ Drink(x) → Edible(x))
∀x (OnCounter(x) ∧ Juice(x) → Drink(x))
∀x (OrangeJuice(x) → Juice(x))
∀x (OnCounter(x) → OrangeJuice(x) ⊕ AppleJuice(x))
∀x (OnCounter(x) ∧ AppleJuice(x) → Sweet(x))
OnCounter(coke) ∧ (AppleJuice(coke) → Drink(coke))
¬AppleJuice(coke) → ¬Edible(coke) | The coke is edible and sweet. | Edible(coke) ∧ Sweet(coke) | True | 1,352 | forall x (oncounter(x) and drink(x) implies edible(x))
forall x (oncounter(x) and juice(x) implies drink(x))
forall x (orangejuice(x) implies juice(x))
forall x (oncounter(x) implies orangejuice(x) xor applejuice(x))
forall x (oncounter(x) and applejuice(x) implies sweet(x))
oncounter(coke) and (applejuice(coke) i... | edible(coke) and sweet(coke) | forall (oncounter(x) , drink(x) -: edible(x))
forall (oncounter(x) , juice(x) -: drink(x))
forall (orangejuice(x) -: juice(x))
forall (oncounter(x) -: orangejuice(x) ^ applejuice(x))
forall (oncounter(x) , applejuice(x) -: sweet(x))
oncounter(coke) , (applejuice(coke) -: drink(coke))
notapplejuice(coke) -: notedi... | edible(coke) , sweet(coke) | [@every *x [(oncounter[(?x)] drink[(?x)] edible[(?x)])]
@every *x [(oncounter[(?x)] juice[(?x)] drink[(?x)])]
@every *x [(orangejuice[(?x)] juice[(?x)])]
@every *x [(oncounter[(?x)] orangejuice[(?x)] applejuice[(?x)])]
@every *x [(oncounter[(?x)] applejuice[(?x)] sweet[(?x)])]
oncounter[(coke)] [(appleju... | [edible[(coke)] sweet[(coke)]] | all:x (oncounter(x) & drink(x) :- edible(x))
all:x (oncounter(x) & juice(x) :- drink(x))
all:x (orangejuice(x) :- juice(x))
all:x (oncounter(x) :- orangejuice(x) ^ applejuice(x))
all:x (oncounter(x) & applejuice(x) :- sweet(x))
oncounter(coke) & (applejuice(coke) :- drink(coke))
~applejuice(coke) :- ~edible(coke) | edible(coke) & sweet(coke) | -(+O0++D0-+E0)
-(+O0++J0-+D0)
-(+O0-+J0)
-(+O0-+O0-+A0)
-(+O0++A0-+S0)
+O2(+c2)+(+A2(+c2)-+D2(+c2))
-+A2(+c2)--+E2(+c2)
| +E2(+c2)++S2(+c2)
| ∀x (OnCounter(x) ∧ Drink(x) → Edible(x))
∀x (OnCounter(x) ∧ Juice(x) → Drink(x))
∀x (OrangeJuice(x) → Juice(x))
∀x (OnCounter(x) → OrangeJuice(x) ⊕ AppleJuice(x))
∀x (OnCounter(x) ∧ AppleJuice(x) → Sweet(x))
OnCounter(coke) ∧ (AppleJuice(coke) → Drink(coke))
¬AppleJuice(coke) → ¬Edible(coke)Edible(coke) ∧ Sweet(c... | disjunctive | all:x (oncounter(x) & drink(x) :- edible(x))
all:x (oncounter(x) & juice(x) :- drink(x))
all:x (orangejuice(x) :- juice(x))
all:x (oncounter(x) :- orangejuice(x) ^ applejuice(x))
all:x (oncounter(x) & applejuice(x) :- sweet(x))
oncounter(coke) & (applejuice(coke) :- drink(coke))
~applejuice(coke) :- ~edible(coke) | edible(coke) & sweet(coke) | all:x (oncounter(x) & drink(x) :- edible(x))
all:x (oncounter(x) & juice(x) :- drink(x))
all:x (orangejuice(x) :- juice(x))
all:x (oncounter(x) :- orangejuice(x) ^ applejuice(x))
all:x (oncounter(x) & applejuice(x) :- sweet(x))
oncounter(coke) & (applejuice(coke) :- drink(coke))
notapplejuice(coke) :- notedible(c... | edible(coke) & sweet(coke) | all:x (oncounter(x) , drink(x) :- edible(x))
all:x (oncounter(x) , juice(x) :- drink(x))
all:x (orangejuice(x) :- juice(x))
all:x (oncounter(x) :- orangejuice(x) ^ applejuice(x))
all:x (oncounter(x) , applejuice(x) :- sweet(x))
oncounter(coke) , (applejuice(coke) :- drink(coke))
~applejuice(coke) :- ~edible(coke) | edible(coke) , sweet(coke) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... |
10 | Thick as Thieves is a young adult fantasy novel written by Megan Whalen Turner.
Thick as Thieves was published by Greenwillow Books.
If a book was published by a company, then the author of that book worked with the company that published the book.
The fictional Mede Empire is where Thick as Thieves is set.
The Med... | YoungAdultFantasy(thickAsTheives) ∧ Novel(thickAsTheives) ∧ WrittenBy(thickAsTheives, meganWhalenTurner)
PublishedBy(thickAsTheives, greenWillowBooks)
∀x ∀y ∀z ((WrittenBy(x, y) ∧ PublishedBy(x, z)) → WorkedWith(y, z))
Fictional(medeEmpire) ∧ SetIn(thickAsTheives, medeEmpire)
∃x ∃y ((Country(x) ∧ Near(x, medeEmpire... | Thick as Thieves is not set in the Mede Empire. | ¬SetIn(thickAsTheives, medeEmpire) | False | 27 | youngadultfantasy(thickastheives) and novel(thickastheives) and writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
forall x forall y forall z ((writtenby(x, y) and publishedby(x, z)) implies workedwith(y, z))
fictional(medeempire) and setin(thickastheives, medeempire)
exists ... | not setin(thickastheives, medeempire) | youngadultfantasy(thickastheives) , novel(thickastheives) , writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
forall forall forall ((writtenby(x, y) , publishedby(x, z)) -: workedwith(y, z))
fictional(medeempire) , setin(thickastheives, medeempire)
((country(x) , near(x, m... | notsetin(thickastheives, medeempire) | [youngadultfantasy[(thickastheives)] novel[(thickastheives)] writtenby[(thickastheives meganwhalenturner)]
publishedby[(thickastheives greenwillowbooks)]
@every *x @every *y @every *z [([(writtenby[(?x y)] publishedby[(?x z)])] workedwith[(?y z)])]
fictional[(medeempire)] setin[(thickastheives medeempire)... | ~[setin[(thickastheives medeempire)]] | youngadultfantasy(thickastheives) & novel(thickastheives) & writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
all:x all:y all:z ((writtenby(x, y) & publishedby(x, z)) :- workedwith(y, z))
fictional(medeempire) & setin(thickastheives, medeempire)
x y ((country(x) & near(x, me... | ~setin(thickastheives, medeempire) | +Y2(+t2)++N2(+t2)++W2
+P2
---((+W0++P0)-+W0)
+F2(+m2)++S2
++((+C1++N1++P1)+(-(+x1)++N1++P1))
+C2(+a2)++N2++C2(+s2)++N2
+S2++S2
| -+S2
| YoungAdultFantasy(thickAsTheives) ∧ Novel(thickAsTheives) ∧ WrittenBy(thickAsTheives, meganWhalenTurner)
PublishedBy(thickAsTheives, greenWillowBooks)
∀x ∀y ∀z ((WrittenBy(x, y) ∧ PublishedBy(x, z)) → WorkedWith(y, z))
Fictional(medeEmpire) ∧ SetIn(thickAsTheives, medeEmpire)
∃x ∃y ((Country(x) ∧ Near(x, medeEmpire... | complex | youngadultfantasy(thickastheives) & novel(thickastheives) & writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
all:x all:y all:z ((writtenby(x, y) & publishedby(x, z)) :- workedwith(y, z))
fictional(medeempire) & setin(thickastheives, medeempire)
some:x some:y ((country(x) & ... | ~setin(thickastheives, medeempire) | youngadultfantasy(thickastheives) & novel(thickastheives) & writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
all:x all:y all:z ((writtenby(x, y) & publishedby(x, z)) :- workedwith(y, z))
fictional(medeempire) & setin(thickastheives, medeempire)
some:x some:y ((country(x) & ... | notsetin(thickastheives, medeempire) | youngadultfantasy(thickastheives) , novel(thickastheives) , writtenby(thickastheives, meganwhalenturner)
publishedby(thickastheives, greenwillowbooks)
all:x all:y all:z ((writtenby(x, y) , publishedby(x, z)) :- workedwith(y, z))
fictional(medeempire) , setin(thickastheives, medeempire)
some:x some:y ((country(x) , ... | ~setin(thickastheives, medeempire) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
65 | If a person coaches a football club, the person is a football coach.
If a person has a position in a club in a year, and the club is in NFL in the same year, the person plays in NFL.
Minnesota Vikings is a football club.
Dennis Green coached Minnesota Vikings.
Cris Carter had 13 touchdown receptions.
Minnesota Vik... | ∀x ∀y ((Coach(x, y) ∧ FootballClub(y)) → FootballCoach(x))
∀w ∀x ∀y ∀z ((PlayPositionFor(x, w, y, z) ∧ InNFL(y, z)) → PlayInNFL(x))
FootballClub(minnesotaVikings)
Coach(dennisGreen, minnesotaVikings)
ReceiveTD(crisCarter, num13)
InNFL(minnesotaVikings, yr1997)
PlayPositionFor(johnRandle, defensiveTackle, minnesot... | Dennis Green is a football coach. | FootballCoach(dennisGreen) | True | 192 | forall x forall y ((coach(x, y) and footballclub(y)) implies footballcoach(x))
forall w forall x forall y forall z ((playpositionfor(x, w, y, z) and innfl(y, z)) implies playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
p... | footballcoach(dennisgreen) | forall forall ((coach(x, y) , footballclub(y)) -: footballcoach(x))
forall forall forall forall ((playpositionfor(x, w, y, z) , innfl(y, z)) -: playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
playpositionfor(johnrandle,... | footballcoach(dennisgreen) | [@every *x @every *y [([(coach[(?x y)] footballclub[(?y)])] footballcoach[(?x)])]
@every *w @every *x @every *y @every *z [([(playpositionfor[(?x w y z)] innfl[(?y z)])] playinnfl[(?x)])]
footballclub[(minnesotavikings)]
coach[(dennisgreen minnesotavikings)]
receivetd[(criscarter num13)]
innfl[(minnesot... | [footballcoach[(dennisgreen)]] | all:x all:y ((coach(x, y) & footballclub(y)) :- footballcoach(x))
all:w all:x all:y all:z ((playpositionfor(x, w, y, z) & innfl(y, z)) :- playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
playpositionfor(johnrandle, defen... | footballcoach(dennisgreen) | --((+C0++F0)-+F0)
----((+P0++I0)-+P0)
+F2(+m2)
+C2
+R2
+I2
+P2
| +F2(+d2)
| ∀x ∀y ((Coach(x, y) ∧ FootballClub(y)) → FootballCoach(x))
∀w ∀x ∀y ∀z ((PlayPositionFor(x, w, y, z) ∧ InNFL(y, z)) → PlayInNFL(x))
FootballClub(minnesotaVikings)
Coach(dennisGreen, minnesotaVikings)
ReceiveTD(crisCarter, num13)
InNFL(minnesotaVikings, yr1997)
PlayPositionFor(johnRandle, defensiveTackle, minnesot... | complex | all:x all:y ((coach(x, y) & footballclub(y)) :- footballcoach(x))
all:w all:x all:y all:z ((playpositionfor(x, w, y, z) & innfl(y, z)) :- playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
playpositionfor(johnrandle, defen... | footballcoach(dennisgreen) | all:x all:y ((coach(x, y) & footballclub(y)) :- footballcoach(x))
all:w all:x all:y all:z ((playpositionfor(x, w, y, z) & innfl(y, z)) :- playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
playpositionfor(johnrandle, defen... | footballcoach(dennisgreen) | all:x all:y ((coach(x, y) , footballclub(y)) :- footballcoach(x))
all:w all:x all:y all:z ((playpositionfor(x, w, y, z) , innfl(y, z)) :- playinnfl(x))
footballclub(minnesotavikings)
coach(dennisgreen, minnesotavikings)
receivetd(criscarter, num13)
innfl(minnesotavikings, yr1997)
playpositionfor(johnrandle, defen... | footballcoach(dennisgreen) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'F'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'f'}]}, {'type': 'symbol... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
333 | If people have a lot of music decorations in their rooms, they cannot pack and move out of their rooms very easily.
If people have high ambitions and future career goals, then they can pack and move out of their rooms very easily.
If people are big fans of pop bands and singers, then they have a lot of music decorati... | ∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x))
∀x (Ambitious(x) → MoveOutEasily(x))
∀x (BigFanOfMusic(x) → MusicDecorations(x, room))
∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x))
Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(... | Sam has high ambitions and future career goals and is a young teenage girl attending music festival frequently. | Ambitious(sam) ∧ Attend(sam, festival) ∧ YoungTeenageGirl(sam) | False | 867 | forall x (havein(x, alotofmusicdecoration, room) implies not moveouteasily(x))
forall x (ambitious(x) implies moveouteasily(x))
forall x (bigfanofmusic(x) implies musicdecorations(x, room))
forall x (attendfrequently(x, musicfestival) and youngteenagegirl(x) implies bigfanofpopband(x) and bigfanofpopsinger(x))
ambi... | ambitious(sam) and attend(sam, festival) and youngteenagegirl(sam) | forall (havein(x, alotofmusicdecoration, room) -: notmoveouteasily(x))
forall (ambitious(x) -: moveouteasily(x))
forall (bigfanofmusic(x) -: musicdecorations(x, room))
forall (attendfrequently(x, musicfestival) , youngteenagegirl(x) -: bigfanofpopband(x) , bigfanofpopsinger(x))
ambitious(sam) -: bbigfanofpopband(sa... | ambitious(sam) , attend(sam, festival) , youngteenagegirl(sam) | [@every *x [(havein[(?x alotofmusicdecoration room)] ~moveouteasily[(?x)])]
@every *x [(ambitious[(?x)] moveouteasily[(?x)])]
@every *x [(bigfanofmusic[(?x)] musicdecorations[(?x room)])]
@every *x [(attendfrequently[(?x musicfestival)] youngteenagegirl[(?x)] bigfanofpopband[(?x)] bigfanofpopsinger[(?x)])]... | [ambitious[(sam)] attend[(sam festival)] youngteenagegirl[(sam)]] | all:x (havein(x, alotofmusicdecoration, room) :- ~moveouteasily(x))
all:x (ambitious(x) :- moveouteasily(x))
all:x (bigfanofmusic(x) :- musicdecorations(x, room))
all:x (attendfrequently(x, musicfestival) & youngteenagegirl(x) :- bigfanofpopband(x) & bigfanofpopsinger(x))
ambitious(sam) :- bbigfanofpopband(sam) & b... | ambitious(sam) & attend(sam, festival) & youngteenagegirl(sam) | -(+H0--+M0)
-(+A0-+M0)
-(+B0-+M0)
-(+A0++Y0-+B0++B0)
+A2(+s2)-+B2(+s2)++B2(+s2)
| +A2(+s2)++A2++Y2(+s2)
| ∀x (HaveIn(x, aLotOfMusicDecoration, room) → ¬MoveOutEasily(x))
∀x (Ambitious(x) → MoveOutEasily(x))
∀x (BigFanOfMusic(x) → MusicDecorations(x, room))
∀x (AttendFrequently(x, musicFestival) ∧ YoungTeenageGirl(x) → BigFanOfPopBand(x) ∧ BigFanOfPopSinger(x))
Ambitious(sam) → BBigFanOfPopBand(sam) ∧ BigFanOfPopSinger(... | complex | all:x (havein(x, alotofmusicdecoration, room) :- ~moveouteasily(x))
all:x (ambitious(x) :- moveouteasily(x))
all:x (bigfanofmusic(x) :- musicdecorations(x, room))
all:x (attendfrequently(x, musicfestival) & youngteenagegirl(x) :- bigfanofpopband(x) & bigfanofpopsinger(x))
ambitious(sam) :- bbigfanofpopband(sam) & b... | ambitious(sam) & attend(sam, festival) & youngteenagegirl(sam) | all:x (havein(x, alotofmusicdecoration, room) :- notmoveouteasily(x))
all:x (ambitious(x) :- moveouteasily(x))
all:x (bigfanofmusic(x) :- musicdecorations(x, room))
all:x (attendfrequently(x, musicfestival) & youngteenagegirl(x) :- bigfanofpopband(x) & bigfanofpopsinger(x))
ambitious(sam) :- bbigfanofpopband(sam) &... | ambitious(sam) & attend(sam, festival) & youngteenagegirl(sam) | all:x (havein(x, alotofmusicdecoration, room) :- ~moveouteasily(x))
all:x (ambitious(x) :- moveouteasily(x))
all:x (bigfanofmusic(x) :- musicdecorations(x, room))
all:x (attendfrequently(x, musicfestival) , youngteenagegirl(x) :- bigfanofpopband(x) , bigfanofpopsinger(x))
ambitious(sam) :- bbigfanofpopband(sam) , b... | ambitious(sam) , attend(sam, festival) , youngteenagegirl(sam) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
418 | Some monitors equipped in the library are produced by AOC.
All monitors equipped in the library are cheaper than 800 dollars.
All monitors cheaper than 800 dollars are with a resolution lower than 1080p.
If a monitor has a resolution lower than 1080p, then it does not support the type-c port.
A-2017 supports th... | ∃x ∃y(Monitor(x) ∧ ProducedBy(x, aOC) ∧ In(x, library) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, aOC) ∧ In(y, library))
∀x ((Monitor(x) ∧ In(x, library)) → CheaperThan(x, dollars800))
∀x ((Monitor(x) ∧ CheaperThan(x, dollars800)) → ResolutionLessThan(x, p1080))
∀x ((Monitor(x) ∧ ResolutionLessThan(x, p1080)) → ¬Suppor... | A-2017 is produced by AOC. | ProducedBy(x, aOC) | Uncertain | 1,178 | exists x exists y(monitor(x) and producedby(x, aoc) and in(x, library) and (not (x=y)) and monitor(y) and producedby(y, aoc) and in(y, library))
forall x ((monitor(x) and in(x, library)) implies cheaperthan(x, dollars800))
forall x ((monitor(x) and cheaperthan(x, dollars800)) implies resolutionlessthan(x, p1080))
fo... | producedby(x, aoc) | (monitor(x) , producedby(x, aoc) , in(x, library) , (not(x=y)) , monitor(y) , producedby(y, aoc) , in(y, library))
forall ((monitor(x) , in(x, library)) -: cheaperthan(x, dollars800))
forall ((monitor(x) , cheaperthan(x, dollars800)) -: resolutionlessthan(x, p1080))
forall ((monitor(x) , resolutionlessthan(x, p1080... | producedby(x, aoc) | [*x *y[(monitor[(?x)] producedby[(?x aoc)] in[(?x library)] [(~[(?x=y)])] monitor[(?y)] producedby[(?y aoc)] in[(?y library)])]
@every *x [([(monitor[(?x)] in[(?x library)])] cheaperthan[(?x dollars800)])]
@every *x [([(monitor[(?x)] cheaperthan[(?x dollars800)])] resolutionlessthan[(?x p1080)])]
@... | [producedby[(x aoc)]] | x y(monitor(x) & producedby(x, aoc) & in(x, library) & (~(x=y)) & monitor(y) & producedby(y, aoc) & in(y, library))
all:x ((monitor(x) & in(x, library)) :- cheaperthan(x, dollars800))
all:x ((monitor(x) & cheaperthan(x, dollars800)) :- resolutionlessthan(x, p1080))
all:x ((monitor(x) & resolutionlessthan(x, p1080)) ... | producedby(x, aoc) | ++(+M1++P1++I1+(-(+x1))++M1++P1++I1)
-((+M0++I0)-+C0)
-((+M0++C0)-+R0)
-((+M0++R0)--+S0)
+S2
| +P2
| ∃x ∃y(Monitor(x) ∧ ProducedBy(x, aOC) ∧ In(x, library) ∧ (¬(x=y)) ∧ Monitor(y) ∧ ProducedBy(y, aOC) ∧ In(y, library))
∀x ((Monitor(x) ∧ In(x, library)) → CheaperThan(x, dollars800))
∀x ((Monitor(x) ∧ CheaperThan(x, dollars800)) → ResolutionLessThan(x, p1080))
∀x ((Monitor(x) ∧ ResolutionLessThan(x, p1080)) → ¬Suppor... | complex | some:x some:y(monitor(x) & producedby(x, aoc) & in(x, library) & (~(x=y)) & monitor(y) & producedby(y, aoc) & in(y, library))
all:x ((monitor(x) & in(x, library)) :- cheaperthan(x, dollars800))
all:x ((monitor(x) & cheaperthan(x, dollars800)) :- resolutionlessthan(x, p1080))
all:x ((monitor(x) & resolutionlessthan(x... | producedby(x, aoc) | some:x some:y(monitor(x) & producedby(x, aoc) & in(x, library) & (not(x=y)) & monitor(y) & producedby(y, aoc) & in(y, library))
all:x ((monitor(x) & in(x, library)) :- cheaperthan(x, dollars800))
all:x ((monitor(x) & cheaperthan(x, dollars800)) :- resolutionlessthan(x, p1080))
all:x ((monitor(x) & resolutionlessthan... | producedby(x, aoc) | some:x some:y(monitor(x) , producedby(x, aoc) , in(x, library) , (~(x=y)) , monitor(y) , producedby(y, aoc) , in(y, library))
all:x ((monitor(x) , in(x, library)) :- cheaperthan(x, dollars800))
all:x ((monitor(x) , cheaperthan(x, dollars800)) :- resolutionlessthan(x, p1080))
all:x ((monitor(x) , resolutionlessthan(x... | producedby(x, aoc) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
481 | All biodegradable things are environment-friendly.
All woodware is biodegradable.
All paper is woodware.
Nothing is a good thing and also a bad thing.
All environment-friendly things are good.
A worksheet is either paper or environment-friendly. | ∀x (Biodegradable(x) → EnvironmentFriendly(x))
∀x (Woodware(x) → Biodegradable(x))
∀x (Paper(x) → Woodware(x))
¬(∃x (Good(x) ∧ Bad(x)))
∀x (EnvironmentFriendly(x) → Good(x))
Paper(worksheet) ⊕ EnvironmentFriendly(worksheet) | A worksheet is not biodegradable. | ¬Bioegradable(worksheet) | Uncertain | 1,403 | forall x (biodegradable(x) implies environmentfriendly(x))
forall x (woodware(x) implies biodegradable(x))
forall x (paper(x) implies woodware(x))
not (exists x (good(x) and bad(x)))
forall x (environmentfriendly(x) implies good(x))
paper(worksheet) xor environmentfriendly(worksheet) | not bioegradable(worksheet) | forall (biodegradable(x) -: environmentfriendly(x))
forall (woodware(x) -: biodegradable(x))
forall (paper(x) -: woodware(x))
not( (good(x) , bad(x)))
forall (environmentfriendly(x) -: good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | notbioegradable(worksheet) | [@every *x [(biodegradable[(?x)] environmentfriendly[(?x)])]
@every *x [(woodware[(?x)] biodegradable[(?x)])]
@every *x [(paper[(?x)] woodware[(?x)])]
~[(*x [(good[(?x)] bad[(?x)])])]
@every *x [(environmentfriendly[(?x)] good[(?x)])]
paper[(worksheet)] environmentfriendly[(worksheet)]] | ~[bioegradable[(worksheet)]] | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bioegradable(worksheet) | -(+B0-+E0)
-(+W0-+B0)
-(+P0-+W0)
-(+(+G1++B1))
-(+E0-+G0)
+P2(+w2)-+E2(+w2)
| -+B2(+w2)
| ∀x (Biodegradable(x) → EnvironmentFriendly(x))
∀x (Woodware(x) → Biodegradable(x))
∀x (Paper(x) → Woodware(x))
¬(∃x (Good(x) ∧ Bad(x)))
∀x (EnvironmentFriendly(x) → Good(x))
Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)¬Bioegradable(worksheet) | disjunctive | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(some:x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bioegradable(worksheet) | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
not(some:x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | notbioegradable(worksheet) | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(some:x (good(x) , bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bioegradable(worksheet) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
406 | All people who regularly drink coffee are dependent on caffeine.
People regularly drink coffee, or they don't want to be addicted to caffeine, or both.
No one who doesn't want to be addicted to caffeine is unaware that caffeine is a drug.
Rina is either a student who is unaware that caffeine is a drug, or she is not... | ∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine))
∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine)))
∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine))
¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine))
¬(IsDependentOn(rina, caffeine) ⊕ Student(rina)) | Rina eith doesn't want to be addicted to caffeine or is unaware that caffeine is a drug. | ¬WantToBeAddictedTo(rina, caffeine) ⊕ ¬AwareThatDrug(rina, caffeine) | True | 1,127 | forall x (drinkregularly(x, coffee) implies isdependenton(x, caffeine))
forall x (drinkregularly(x, coffee) or (not wanttobeaddictedto(x, caffeine)))
forall x (not wanttobeaddictedto(x, caffeine) implies not awarethatdrug(x, caffeine))
not (student(rina) xor not awarethatdrug(rina, caffeine))
not (isdependenton(r... | not wanttobeaddictedto(rina, caffeine) xor not awarethatdrug(rina, caffeine) | forall (drinkregularly(x, coffee) -: isdependenton(x, caffeine))
forall (drinkregularly(x, coffee) | (notwanttobeaddictedto(x, caffeine)))
forall (notwanttobeaddictedto(x, caffeine) -: notawarethatdrug(x, caffeine))
not(student(rina) ^ notawarethatdrug(rina, caffeine))
not(isdependenton(rina, caffeine) ^ student(... | notwanttobeaddictedto(rina, caffeine) ^ notawarethatdrug(rina, caffeine) | [@every *x [(drinkregularly[(?x coffee)] isdependenton[(?x caffeine)])]
@every *x [(drinkregularly[(?x coffee)] [(~wanttobeaddictedto[(?x caffeine)])])]
@every *x [(~wanttobeaddictedto[(?x caffeine)] ~awarethatdrug[(?x caffeine)])]
~[(student[(rina)] ~awarethatdrug[(rina caffeine)])]
~[(isdependenton[(... | ~[wanttobeaddictedto[(rina caffeine)] ~awarethatdrug[(rina caffeine)]] | all:x (drinkregularly(x, coffee) :- isdependenton(x, caffeine))
all:x (drinkregularly(x, coffee) | (~wanttobeaddictedto(x, caffeine)))
all:x (~wanttobeaddictedto(x, caffeine) :- ~awarethatdrug(x, caffeine))
~(student(rina) ^ ~awarethatdrug(rina, caffeine))
~(isdependenton(rina, caffeine) ^ student(rina)) | ~wanttobeaddictedto(rina, caffeine) ^ ~awarethatdrug(rina, caffeine) | -(+D0-+I0)
-(+D0-(-+W0))
-(-+W0--+A0)
-(+S2(+r2)--+A2)
-(+I2-+S2(+r2))
| -+W2--+A2
| ∀x (DrinkRegularly(x, coffee) → IsDependentOn(x, caffeine))
∀x (DrinkRegularly(x, coffee) ∨ (¬WantToBeAddictedTo(x, caffeine)))
∀x (¬WantToBeAddictedTo(x, caffeine) → ¬AwareThatDrug(x, caffeine))
¬(Student(rina) ⊕ ¬AwareThatDrug(rina, caffeine))
¬(IsDependentOn(rina, caffeine) ⊕ Student(rina))¬WantToBeAddictedTo(... | disjunctive | all:x (drinkregularly(x, coffee) :- isdependenton(x, caffeine))
all:x (drinkregularly(x, coffee) | (~wanttobeaddictedto(x, caffeine)))
all:x (~wanttobeaddictedto(x, caffeine) :- ~awarethatdrug(x, caffeine))
~(student(rina) ^ ~awarethatdrug(rina, caffeine))
~(isdependenton(rina, caffeine) ^ student(rina)) | ~wanttobeaddictedto(rina, caffeine) ^ ~awarethatdrug(rina, caffeine) | all:x (drinkregularly(x, coffee) :- isdependenton(x, caffeine))
all:x (drinkregularly(x, coffee) | (notwanttobeaddictedto(x, caffeine)))
all:x (notwanttobeaddictedto(x, caffeine) :- notawarethatdrug(x, caffeine))
not(student(rina) ^ notawarethatdrug(rina, caffeine))
not(isdependenton(rina, caffeine) ^ student(rin... | notwanttobeaddictedto(rina, caffeine) ^ notawarethatdrug(rina, caffeine) | all:x (drinkregularly(x, coffee) :- isdependenton(x, caffeine))
all:x (drinkregularly(x, coffee) | (~wanttobeaddictedto(x, caffeine)))
all:x (~wanttobeaddictedto(x, caffeine) :- ~awarethatdrug(x, caffeine))
~(student(rina) ^ ~awarethatdrug(rina, caffeine))
~(isdependenton(rina, caffeine) ^ student(rina)) | ~wanttobeaddictedto(rina, caffeine) ^ ~awarethatdrug(rina, caffeine) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'childr... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'children'... |
48 | Douglas Adams is an author who created the book collection called The Salmon of Doubt.
The Salmon of Doubt is about life experiences and technology.
All authors are writers.
Writers create innovative ideas.
Some books that contain innovative ideas are about technology. | Author(douglasAdams) ∧ Authored(douglasAdams, theSalmonOfDoubt) ∧ Book(theSalmonOfDoubt)
About(theSalmonOfDoubt, lifeExperience) ∧ About(theSalmonOfDoubt, technology)
∀x (Author(x) → Writer(x))
∀x (Writer(x) → Create(x, innovativeIdea))
∃x ∃y (Contain(x, innovativeIdea) ∧ About(x, technology) ∧ (¬(x=y)) ∧ (Contain(... | The Salmon of Doubt has no innovative Ideas. | ¬Contain(theSalmonOfDoubt, innovativeIdea) | Uncertain | 140 | author(douglasadams) and authored(douglasadams, thesalmonofdoubt) and book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) and about(thesalmonofdoubt, technology)
forall x (author(x) implies writer(x))
forall x (writer(x) implies create(x, innovativeidea))
exists x exists y (contain(x, innovativeidea) and... | not contain(thesalmonofdoubt, innovativeidea) | author(douglasadams) , authored(douglasadams, thesalmonofdoubt) , book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) , about(thesalmonofdoubt, technology)
forall (author(x) -: writer(x))
forall (writer(x) -: create(x, innovativeidea))
(contain(x, innovativeidea) , about(x, technology) , (not(x=y)) , (... | notcontain(thesalmonofdoubt, innovativeidea) | [author[(douglasadams)] authored[(douglasadams thesalmonofdoubt)] book[(thesalmonofdoubt)]
about[(thesalmonofdoubt lifeexperience)] about[(thesalmonofdoubt technology)]
@every *x [(author[(?x)] writer[(?x)])]
@every *x [(writer[(?x)] create[(?x innovativeidea)])]
*x *y [(contain[(?x innovativeidea)] abou... | ~[contain[(thesalmonofdoubt innovativeidea)]] | author(douglasadams) & authored(douglasadams, thesalmonofdoubt) & book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) & about(thesalmonofdoubt, technology)
all:x (author(x) :- writer(x))
all:x (writer(x) :- create(x, innovativeidea))
x y (contain(x, innovativeidea) & about(x, technology) & (~(x=y)) & (co... | ~contain(thesalmonofdoubt, innovativeidea) | +A2(+d2)++A2++B2(+t2)
+A2++A2
-(+A0-+W0)
-(+W0-+C0)
++(+C1++A1+(-(+x1))+(+C1++A1))
| -+C2
| Author(douglasAdams) ∧ Authored(douglasAdams, theSalmonOfDoubt) ∧ Book(theSalmonOfDoubt)
About(theSalmonOfDoubt, lifeExperience) ∧ About(theSalmonOfDoubt, technology)
∀x (Author(x) → Writer(x))
∀x (Writer(x) → Create(x, innovativeIdea))
∃x ∃y (Contain(x, innovativeIdea) ∧ About(x, technology) ∧ (¬(x=y)) ∧ (Contain(... | complex | author(douglasadams) & authored(douglasadams, thesalmonofdoubt) & book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) & about(thesalmonofdoubt, technology)
all:x (author(x) :- writer(x))
all:x (writer(x) :- create(x, innovativeidea))
some:x some:y (contain(x, innovativeidea) & about(x, technology) & (~(x... | ~contain(thesalmonofdoubt, innovativeidea) | author(douglasadams) & authored(douglasadams, thesalmonofdoubt) & book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) & about(thesalmonofdoubt, technology)
all:x (author(x) :- writer(x))
all:x (writer(x) :- create(x, innovativeidea))
some:x some:y (contain(x, innovativeidea) & about(x, technology) & (not... | notcontain(thesalmonofdoubt, innovativeidea) | author(douglasadams) , authored(douglasadams, thesalmonofdoubt) , book(thesalmonofdoubt)
about(thesalmonofdoubt, lifeexperience) , about(thesalmonofdoubt, technology)
all:x (author(x) :- writer(x))
all:x (writer(x) :- create(x, innovativeidea))
some:x some:y (contain(x, innovativeidea) , about(x, technology) , (~(x... | ~contain(thesalmonofdoubt, innovativeidea) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'a'}]}, ... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
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. | ∀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) | Jojo is a ghost. | Ghost(jojo) | False | 1,369 | forall x (pet(x) and in(x, myhouse) implies cat(x) xor dog(x))
forall x (dog(x) and in(x, myhouse) implies bark(x))
forall x (not ghost(x))
forall x (bark(x) and pet(x) and in(x, myhouse) implies not dead(x))
forall x (pet(x) and in(x, myhouse) implies dead(x) xor alive(x))
pet(jojo) and inmyhouse(jojo)and not ali... | ghost(jojo) | forall (pet(x) , in(x, myhouse) -: cat(x) ^ dog(x))
forall (dog(x) , in(x, myhouse) -: bark(x))
forall (notghost(x))
forall (bark(x) , pet(x) , in(x, myhouse) -: notdead(x))
forall (pet(x) , in(x, myhouse) -: dead(x) ^ alive(x))
pet(jojo) , inmyhouse(jojo), notalive(jojo) | ghost(jojo) | [@every *x [(pet[(?x)] in[(?x myhouse)] cat[(?x)] dog[(?x)])]
@every *x [(dog[(?x)] in[(?x myhouse)] bark[(?x)])]
@every *x [(~ghost[(?x)])]
@every *x [(bark[(?x)] pet[(?x)] in[(?x myhouse)] ~dead[(?x)])]
@every *x [(pet[(?x)] in[(?x myhouse)] dead[(?x)] alive[(?x)])]
pet[(jojo)] inmyhouse[(jojo)] ... | [ghost[(jojo)]] | all:x (pet(x) & in(x, myhouse) :- cat(x) ^ dog(x))
all:x (dog(x) & in(x, myhouse) :- bark(x))
all:x (~ghost(x))
all:x (bark(x) & pet(x) & in(x, myhouse) :- ~dead(x))
all:x (pet(x) & in(x, myhouse) :- dead(x) ^ alive(x))
pet(jojo) & inmyhouse(jojo)& ~alive(jojo) | ghost(jojo) | -(+P0++I0-+C0-+D0)
-(+D0++I0-+B0)
-(-+G0)
-(+B0++P0++I0--+D0)
-(+P0++I0-+D0-+A0)
+P2(+j2)++I2(+j2)+-+A2(+j2)
| +G2(+j2)
| ∀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) | disjunctive | all:x (pet(x) & in(x, myhouse) :- cat(x) ^ dog(x))
all:x (dog(x) & in(x, myhouse) :- bark(x))
all:x (~ghost(x))
all:x (bark(x) & pet(x) & in(x, myhouse) :- ~dead(x))
all:x (pet(x) & in(x, myhouse) :- dead(x) ^ alive(x))
pet(jojo) & inmyhouse(jojo)& ~alive(jojo) | ghost(jojo) | all:x (pet(x) & in(x, myhouse) :- cat(x) ^ dog(x))
all:x (dog(x) & in(x, myhouse) :- bark(x))
all:x (notghost(x))
all:x (bark(x) & pet(x) & in(x, myhouse) :- notdead(x))
all:x (pet(x) & in(x, myhouse) :- dead(x) ^ alive(x))
pet(jojo) & inmyhouse(jojo)& notalive(jojo) | ghost(jojo) | all:x (pet(x) , in(x, myhouse) :- cat(x) ^ dog(x))
all:x (dog(x) , in(x, myhouse) :- bark(x))
all:x (~ghost(x))
all:x (bark(x) , pet(x) , in(x, myhouse) :- ~dead(x))
all:x (pet(x) , in(x, myhouse) :- dead(x) ^ alive(x))
pet(jojo) , inmyhouse(jojo), ~alive(jojo) | ghost(jojo) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'G'}, {'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'g'}, {'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER'... |
233 | Deng Xiaoping served as the paramount leader of the People's Republic of China.
Deng Xiaoping was praised for his reaffirmation of the reform program, as well as the reversion of Hong Kong to Chinese control and the return of Macau.
As the party's Secretary-General under Mao and Vice Premier in the 1950s, Deng Xiaopi... | ParamountLeaderOf(dengXiaoping, peoplesRepublicOfChina)
PraisedFor(dengXiaoping, reaffirmationOfReformProgram) ∧ PraisedFor(dengXiaoping, reversionOfHongKong) ∧ PraisedFor(dengXiaoping, returnOfMacau)
PartysSecretaryGeneral(dengXiaoping) ∧ Under(dengXiaoping, mao) ∧ VicePremierInThe1950s(dengXiaoping) ∧ PresidedOver(... | Deng Xiaoping presided over something launched by someone he was under. | ∃x ∃y (PresidedOver(dengxiaoping, x) ∧ Under(dengxiaoping, y) ∧ LaunchedBy(x, y)) | True | 661 | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) and praisedfor(dengxiaoping, reversionofhongkong) and praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) and under(dengxiaoping, mao) and vicepremierinthe1950s(dengxiaoping) and pre... | exists x exists y (presidedover(dengxiaoping, x) and under(dengxiaoping, y) and launchedby(x, y)) | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) , praisedfor(dengxiaoping, reversionofhongkong) , praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) , under(dengxiaoping, mao) , vicepremierinthe1950s(dengxiaoping) , presidedover(... | (presidedover(dengxiaoping, x) , under(dengxiaoping, y) , launchedby(x, y)) | [paramountleaderof[(dengxiaoping peoplesrepublicofchina)]
praisedfor[(dengxiaoping reaffirmationofreformprogram)] praisedfor[(dengxiaoping reversionofhongkong)] praisedfor[(dengxiaoping returnofmacau)]
partyssecretarygeneral[(dengxiaoping)] under[(dengxiaoping mao)] vicepremierinthe1950s[(dengxiaoping)] pre... | [*x *y [(presidedover[(dengxiaoping x)] under[(dengxiaoping y)] launchedby[(?x y)])]] | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) & praisedfor(dengxiaoping, reversionofhongkong) & praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) & under(dengxiaoping, mao) & vicepremierinthe1950s(dengxiaoping) & presidedover(... | x y (presidedover(dengxiaoping, x) & under(dengxiaoping, y) & launchedby(x, y)) | +P2
+P2++P2++P2
+P2(+d2)++U2++V2(+d2)++P2++L2
+I2++F2++D2(+g2)
+D2
+G2
| ++(+P1++U1++L1)
| ParamountLeaderOf(dengXiaoping, peoplesRepublicOfChina)
PraisedFor(dengXiaoping, reaffirmationOfReformProgram) ∧ PraisedFor(dengXiaoping, reversionOfHongKong) ∧ PraisedFor(dengXiaoping, returnOfMacau)
PartysSecretaryGeneral(dengXiaoping) ∧ Under(dengXiaoping, mao) ∧ VicePremierInThe1950s(dengXiaoping) ∧ PresidedOver(... | complex | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) & praisedfor(dengxiaoping, reversionofhongkong) & praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) & under(dengxiaoping, mao) & vicepremierinthe1950s(dengxiaoping) & presidedover(... | some:x some:y (presidedover(dengxiaoping, x) & under(dengxiaoping, y) & launchedby(x, y)) | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) & praisedfor(dengxiaoping, reversionofhongkong) & praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) & under(dengxiaoping, mao) & vicepremierinthe1950s(dengxiaoping) & presidedover(... | some:x some:y (presidedover(dengxiaoping, x) & under(dengxiaoping, y) & launchedby(x, y)) | paramountleaderof(dengxiaoping, peoplesrepublicofchina)
praisedfor(dengxiaoping, reaffirmationofreformprogram) , praisedfor(dengxiaoping, reversionofhongkong) , praisedfor(dengxiaoping, returnofmacau)
partyssecretarygeneral(dengxiaoping) , under(dengxiaoping, mao) , vicepremierinthe1950s(dengxiaoping) , presidedover(... | some:x some:y (presidedover(dengxiaoping, x) , under(dengxiaoping, y) , launchedby(x, y)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'e'}]}, {'type': 'symbol... |
316 | There are no mansion houses in an urban area.
All skyscrapers are in urban areas.
Every creepy haunted house is a mansion house.
Every terrifying building on Halloween is a creepy haunted house.
The LaLaurie House is a creepy haunted house or a terrifying building on Halloween. | ∀x (InUrbanArea(x) → ¬MansionHouse(x))
∀x (Skyscraper(x) → InUrbanArea(x))
∀x (CreepyHauntedHouse(x) → MansionHouse(x))
∀x (TerrifyingBuilding(x) ∧ OnHalloween(x) → CreepyHauntedHouse(x))
CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse) | If the LaLaurie House is either a skyscraper or a mansion house, then it is in an urban area. | Skyscraper(laLaurieHouse) ⊕ MansionHouse(laLaurieHouse) → InUrbanArea(laLaurieHouse) | False | 796 | forall x (inurbanarea(x) implies not mansionhouse(x))
forall x (skyscraper(x) implies inurbanarea(x))
forall x (creepyhauntedhouse(x) implies mansionhouse(x))
forall x (terrifyingbuilding(x) and onhalloween(x) implies creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) or terrifyingbuilding(lalauriehouse) and ... | skyscraper(lalauriehouse) xor mansionhouse(lalauriehouse) implies inurbanarea(lalauriehouse) | forall (inurbanarea(x) -: notmansionhouse(x))
forall (skyscraper(x) -: inurbanarea(x))
forall (creepyhauntedhouse(x) -: mansionhouse(x))
forall (terrifyingbuilding(x) , onhalloween(x) -: creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) , onhalloween(lalauriehouse) | skyscraper(lalauriehouse) ^ mansionhouse(lalauriehouse) -: inurbanarea(lalauriehouse) | [@every *x [(inurbanarea[(?x)] ~mansionhouse[(?x)])]
@every *x [(skyscraper[(?x)] inurbanarea[(?x)])]
@every *x [(creepyhauntedhouse[(?x)] mansionhouse[(?x)])]
@every *x [(terrifyingbuilding[(?x)] onhalloween[(?x)] creepyhauntedhouse[(?x)])]
creepyhauntedhouse[(lalauriehouse)] terrifyingbuilding[(lalauriehous... | [skyscraper[(lalauriehouse)] mansionhouse[(lalauriehouse)] inurbanarea[(lalauriehouse)]] | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) ^ mansionhouse(lalauriehouse) :- inurbanarea(lalauriehouse) | -(+I0--+M0)
-(+S0-+I0)
-(+C0-+M0)
-(+T0++O0-+C0)
+C2(+l2)-+T2(+l2)++O2(+l2)
| +S2(+l2)-+M2(+l2)-+I2(+l2)
| ∀x (InUrbanArea(x) → ¬MansionHouse(x))
∀x (Skyscraper(x) → InUrbanArea(x))
∀x (CreepyHauntedHouse(x) → MansionHouse(x))
∀x (TerrifyingBuilding(x) ∧ OnHalloween(x) → CreepyHauntedHouse(x))
CreepyHauntedHouse(laLaurieHouse) ∨ TerrifyingBuilding(laLaurieHouse) ∧ OnHalloween(laLaurieHouse)Skyscraper(laLaurieHouse) ⊕ Ma... | disjunctive | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) ^ mansionhouse(lalauriehouse) :- inurbanarea(lalauriehouse) | all:x (inurbanarea(x) :- notmansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) & onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) & onhalloween(lalauriehouse) | skyscraper(lalauriehouse) ^ mansionhouse(lalauriehouse) :- inurbanarea(lalauriehouse) | all:x (inurbanarea(x) :- ~mansionhouse(x))
all:x (skyscraper(x) :- inurbanarea(x))
all:x (creepyhauntedhouse(x) :- mansionhouse(x))
all:x (terrifyingbuilding(x) , onhalloween(x) :- creepyhauntedhouse(x))
creepyhauntedhouse(lalauriehouse) | terrifyingbuilding(lalauriehouse) , onhalloween(lalauriehouse) | skyscraper(lalauriehouse) ^ mansionhouse(lalauriehouse) :- inurbanarea(lalauriehouse) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
105 | Show Your Love is a song recorded by the South Korean boy band BtoB 4u.
The lead single of the extended play Inside is Show Your Love.
Show Your Love contains a hopeful message.
BtoB 4u member Hyunsik wrote Show Your Love.
There is a music video for Show Your Love. | Song(showYourLove) ∧ RecordedBy(showYourLove, bToB4u) ∧ SouthKorean(bToB4u) ∧ BoyBand(bToB4u)
ExtendedPlay(inside) ∧ LeadSingleOf(showYourLove, inside)
Contains(showYourLove, hopefulMessage)
Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showYourLove)
Have(showYourLove, musicVideo) | Hyunsik is Korean. | Korean(hyunsik) | Uncertain | 320 | song(showyourlove) and recordedby(showyourlove, btob4u) and southkorean(btob4u) and boyband(btob4u)
extendedplay(inside) and leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) and wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | song(showyourlove) , recordedby(showyourlove, btob4u) , southkorean(btob4u) , boyband(btob4u)
extendedplay(inside) , leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) , wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | [song[(showyourlove)] recordedby[(showyourlove btob4u)] southkorean[(btob4u)] boyband[(btob4u)]
extendedplay[(inside)] leadsingleof[(showyourlove inside)]
contains[(showyourlove hopefulmessage)]
member[(hyunsik btob4u)] wrote[(hyunsik showyourlove)]
have[(showyourlove musicvideo)]] | [korean[(hyunsik)]] | song(showyourlove) & recordedby(showyourlove, btob4u) & southkorean(btob4u) & boyband(btob4u)
extendedplay(inside) & leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) & wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | +S2(+s2)++R2++S2(+b2)++B2(+b2)
+E2(+i2)++L2
+C2
+M2++W2
+H2
| +K2(+h2)
| Song(showYourLove) ∧ RecordedBy(showYourLove, bToB4u) ∧ SouthKorean(bToB4u) ∧ BoyBand(bToB4u)
ExtendedPlay(inside) ∧ LeadSingleOf(showYourLove, inside)
Contains(showYourLove, hopefulMessage)
Member(hyunsik, btob4u) ∧ Wrote(hyunsik, showYourLove)
Have(showYourLove, musicVideo)Korean(hyunsik) | complex | song(showyourlove) & recordedby(showyourlove, btob4u) & southkorean(btob4u) & boyband(btob4u)
extendedplay(inside) & leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) & wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | song(showyourlove) & recordedby(showyourlove, btob4u) & southkorean(btob4u) & boyband(btob4u)
extendedplay(inside) & leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) & wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | song(showyourlove) , recordedby(showyourlove, btob4u) , southkorean(btob4u) , boyband(btob4u)
extendedplay(inside) , leadsingleof(showyourlove, inside)
contains(showyourlove, hopefulmessage)
member(hyunsik, btob4u) , wrote(hyunsik, showyourlove)
have(showyourlove, musicvideo) | korean(hyunsik) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'K'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... |
73 | Ambiortus is a prehistoric bird genus.
Ambiortus Dementjevi is the only known species of Ambiortus.
Mongolia was where Ambiortus Dementjevi lived.
Yevgeny Kurochkin was the discoverer of Ambiortus. | Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)
∀x(KnownSpeciesOf(x, ambiortus) → IsSpecies(x, ambiortusDementjevi))
LiveIn(ambiortusDementjevi, mongolia)
Discover(yevgenykurochkin, ambiortus) | Yevgeny Kurochkin lived in Mongolia. | LiveIn(yevgenykurochkin, mongolia) | Uncertain | 223 | prehistoric(ambiortus) and birdgenus(ambiortus)
forall x(knownspeciesof(x, ambiortus) implies isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | prehistoric(ambiortus) , birdgenus(ambiortus)
forall(knownspeciesof(x, ambiortus) -: isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | [prehistoric[(ambiortus)] birdgenus[(ambiortus)]
@every *x[(knownspeciesof[(?x ambiortus)] isspecies[(?x ambiortusdementjevi)])]
livein[(ambiortusdementjevi mongolia)]
discover[(yevgenykurochkin ambiortus)]] | [livein[(yevgenykurochkin mongolia)]] | prehistoric(ambiortus) & birdgenus(ambiortus)
all:x(knownspeciesof(x, ambiortus) :- isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | +P2(+a2)++B2(+a2)
-(+K0-+I0)
+L2
+D2
| +L2
| Prehistoric(ambiortus) ∧ BirdGenus(ambiortus)
∀x(KnownSpeciesOf(x, ambiortus) → IsSpecies(x, ambiortusDementjevi))
LiveIn(ambiortusDementjevi, mongolia)
Discover(yevgenykurochkin, ambiortus)LiveIn(yevgenykurochkin, mongolia) | complex | prehistoric(ambiortus) & birdgenus(ambiortus)
all:x(knownspeciesof(x, ambiortus) :- isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | prehistoric(ambiortus) & birdgenus(ambiortus)
all:x(knownspeciesof(x, ambiortus) :- isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | prehistoric(ambiortus) , birdgenus(ambiortus)
all:x(knownspeciesof(x, ambiortus) :- isspecies(x, ambiortusdementjevi))
livein(ambiortusdementjevi, mongolia)
discover(yevgenykurochkin, ambiortus) | livein(yevgenykurochkin, mongolia) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'L'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'v'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'v'}, {'type': 'LETTER'... |
180 | Sam is doing a project.
A project is written either in C++ or Python.
If Sam does a project written in Python, he will not use a Mac.
Sam is using a Mac.
If Sam uses a Mac, he will play a song.
If a song is not titled "Perfect," Sam will never play it. | ∃x (Project(x) ∧ Do(sam, x))
∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python)))
∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac))
Use(sam, mac)
∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x))
∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect)) | The project Sam is doing is written in C++. | ∀x (Project(x) ∧ Do(sam, x) ∧ WrittenIn(x, cplusplus)) | True | 518 | exists x (project(x) and do(sam, x))
forall x (project(x) implies (writtenin(x, cplusplus) xor writtenin(x, python)))
forall x (project(x) and writtenin(x, python) and do(sam, x) implies not use(sam, mac))
use(sam, mac)
exists x (use(sam, mac) and song(x) implies play(sam, x))
forall x (song(x) and play(sam, x) im... | forall x (project(x) and do(sam, x) and writtenin(x, cplusplus)) | (project(x) , do(sam, x))
forall (project(x) -: (writtenin(x, cplusplus) ^ writtenin(x, python)))
forall (project(x) , writtenin(x, python) , do(sam, x) -: notuse(sam, mac))
use(sam, mac)
(use(sam, mac) , song(x) -: play(sam, x))
forall (song(x) , play(sam, x) -: titled(x, perfect)) | forall (project(x) , do(sam, x) , writtenin(x, cplusplus)) | [*x [(project[(?x)] do[(sam x)])]
@every *x [(project[(?x)] [(writtenin[(?x cplusplus)] writtenin[(?x python)])])]
@every *x [(project[(?x)] writtenin[(?x python)] do[(sam x)] ~use[(sam mac)])]
use[(sam mac)]
*x [(use[(sam mac)] song[(?x)] play[(sam x)])]
@every *x [(song[(?x)] play[(sam x)] ti... | [@every *x [(project[(?x)] do[(sam x)] writtenin[(?x cplusplus)])]] | x (project(x) & do(sam, x))
all:x (project(x) :- (writtenin(x, cplusplus) ^ writtenin(x, python)))
all:x (project(x) & writtenin(x, python) & do(sam, x) :- ~use(sam, mac))
use(sam, mac)
x (use(sam, mac) & song(x) :- play(sam, x))
all:x (song(x) & play(sam, x) :- titled(x, perfect)) | all:x (project(x) & do(sam, x) & writtenin(x, cplusplus)) | +(+P1++D1)
-(+P0-(+W0-+W0))
-(+P0++W0++D0--+U0)
+U2
+(+U1++S1-+P1)
-(+S0++P0-+T0)
| -(+P0++D0++W0)
| ∃x (Project(x) ∧ Do(sam, x))
∀x (Project(x) → (WrittenIn(x, cplusplus) ⊕ WrittenIn(x, python)))
∀x (Project(x) ∧ WrittenIn(x, python) ∧ Do(sam, x) → ¬Use(sam, mac))
Use(sam, mac)
∃x (Use(sam, mac) ∧ Song(x) → Play(sam, x))
∀x (Song(x) ∧ Play(sam, x) → Titled(x, perfect))∀x (Project(x) ∧ Do(sam, x) ∧ WrittenIn(x, c... | disjunctive | some:x (project(x) & do(sam, x))
all:x (project(x) :- (writtenin(x, cplusplus) ^ writtenin(x, python)))
all:x (project(x) & writtenin(x, python) & do(sam, x) :- ~use(sam, mac))
use(sam, mac)
some:x (use(sam, mac) & song(x) :- play(sam, x))
all:x (song(x) & play(sam, x) :- titled(x, perfect)) | all:x (project(x) & do(sam, x) & writtenin(x, cplusplus)) | some:x (project(x) & do(sam, x))
all:x (project(x) :- (writtenin(x, cplusplus) ^ writtenin(x, python)))
all:x (project(x) & writtenin(x, python) & do(sam, x) :- notuse(sam, mac))
use(sam, mac)
some:x (use(sam, mac) & song(x) :- play(sam, x))
all:x (song(x) & play(sam, x) :- titled(x, perfect)) | all:x (project(x) & do(sam, x) & writtenin(x, cplusplus)) | some:x (project(x) , do(sam, x))
all:x (project(x) :- (writtenin(x, cplusplus) ^ writtenin(x, python)))
all:x (project(x) , writtenin(x, python) , do(sam, x) :- ~use(sam, mac))
use(sam, mac)
some:x (use(sam, mac) , song(x) :- play(sam, x))
all:x (song(x) , play(sam, x) :- titled(x, perfect)) | all:x (project(x) , do(sam, x) , writtenin(x, cplusplus)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
378 | All people who attend weddings are getting married or know the people who are getting married.
No preteens or young children are getting married or know the people who are getting married.
People who enjoy celebrating life milestone events with other people attend weddings.
People who are fond of large group functio... | ∀x (Attend(x, wedding) → GettingMarried(x) ∨ (∃y (Know(x, y) ∧ GettingMarried(y)))
∀x (PreTeen(x) ∨ YoungChild(x) → ¬(GettingMarried(x) ⊕ (∃y (Know(x, y) ∧ GettingMarried(y)))))
∀x (∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) → Attend(x, weddi... | Carol is a preteen or a young child. | PreTeen(carol) ∨ YoungChild(carol) | Uncertain | 1,009 | forall x (attend(x, wedding) implies gettingmarried(x) or (exists y (know(x, y) and gettingmarried(y)))
forall x (preteen(x) or youngchild(x) implies not (gettingmarried(x) xor (exists y (know(x, y) and gettingmarried(y)))))
forall x (exists y exists z (not (x=y) and not (x=z) and not (y=z) and enjoy(x, celebratingli... | preteen(carol) or youngchild(carol) | forall (attend(x, wedding) -: gettingmarried(x) | ( (know(x, y) , gettingmarried(y)))
forall (preteen(x) | youngchild(x) -: not(gettingmarried(x) ^ ( (know(x, y) , gettingmarried(y)))))
forall ( (not(x=y) , not(x=z) , not(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestoneevent, z)) -: ... | preteen(carol) | youngchild(carol) | [@every *x [(attend[(?x wedding)] gettingmarried[(?x)] [(*y [(know[(?x y)] gettingmarried[(?y)])])]
@every *x [(preteen[(?x)] youngchild[(?x)] ~[(gettingmarried[(?x)] [(*y [(know[(?x y)] gettingmarried[(?y)])])])])]
@every *x [(*y *z [(~[(?x=y)] ~[(?x=z)] ~[(?y=z)] enjoy[(?x celebratinglifemilestoneeven... | [preteen[(carol)] youngchild[(carol)]] | all:x (attend(x, wedding) :- gettingmarried(x) | (y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (y (know(x, y) & gettingmarried(y)))))
all:x (y z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestoneevent, z)) :- attend(... | preteen(carol) | youngchild(carol) | -(+A0-+G0-(+(+K1++G1))
-(+P0-+Y0--(+G0-(+(+K1++G1))))
-(++(-(+x1)+-(+x1)+-(+y1)++E1++E1)-+A1)
-(+F0-++(-(+x0)+-(+x0)+-(+y0)++E0++E0))
-(+O0++S0-+F0)
-((+P2(+c2)-+Y2(+c2))++A2)--(+G2(+c2)-(+(+K1++G1)))
| +P2(+c2)-+Y2(+c2)
| ∀x (Attend(x, wedding) → GettingMarried(x) ∨ (∃y (Know(x, y) ∧ GettingMarried(y)))
∀x (PreTeen(x) ∨ YoungChild(x) → ¬(GettingMarried(x) ⊕ (∃y (Know(x, y) ∧ GettingMarried(y)))))
∀x (∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) → Attend(x, weddi... | disjunctive | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (some:y (know(x, y) & gettingmarried(y)))))
all:x (some:y some:z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestonee... | preteen(carol) | youngchild(carol) | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- not(gettingmarried(x) ^ (some:y (know(x, y) & gettingmarried(y)))))
all:x (some:y some:z (not(x=y) & not(x=z) & not(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratingli... | preteen(carol) | youngchild(carol) | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) , gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (some:y (know(x, y) , gettingmarried(y)))))
all:x (some:y some:z (~(x=y) , ~(x=z) , ~(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestonee... | preteen(carol) | youngchild(carol) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'... |
7 | Six, seven and eight are real numbers.
If a real number equals another real number added by one, the first number is larger.
If the number x is larger than the number y, then y is not larger than x.
Seven equals six plus one.
Eight equals seven plus one.
Two is positive.
If a number is positive, then the double o... | RealNum(num6) ∧ RealNum(num7) ∧ RealNum(num8)
∀x ∀y ((RealNum(x) ∧ RealNum(y) ∧ IsSuccessorOf(x, y)) → Larger(x, y))
∀x ∀y (Larger(x, y) → ¬Larger(y, x))
∃y(IsSuccessorOf(y, num6) ∧ Equals(num7, y))
∃y(IsSuccessorOf(y, num7) ∧ Equals(num8, y))
Positive(num2)
∀x ∀y ((Positive(x) ∧ IsDouble(y, x)) → Positive(y))
I... | Eight is larger than seven. | Larger(eight, seven) | True | 17 | realnum(num6) and realnum(num7) and realnum(num8)
forall x forall y ((realnum(x) and realnum(y) and issuccessorof(x, y)) implies larger(x, y))
forall x forall y (larger(x, y) implies not larger(y, x))
exists y(issuccessorof(y, num6) and equals(num7, y))
exists y(issuccessorof(y, num7) and equals(num8, y))
positive... | larger(eight, seven) | realnum(num6) , realnum(num7) , realnum(num8)
forall forall ((realnum(x) , realnum(y) , issuccessorof(x, y)) -: larger(x, y))
forall forall (larger(x, y) -: notlarger(y, x))
(issuccessorof(y, num6) , equals(num7, y))
(issuccessorof(y, num7) , equals(num8, y))
positive(num2)
forall forall ((positive(x) , isdouble(... | larger(eight, seven) | [realnum[(num6)] realnum[(num7)] realnum[(num8)]
@every *x @every *y [([(realnum[(?x)] realnum[(?y)] issuccessorof[(?x y)])] larger[(?x y)])]
@every *x @every *y [(larger[(?x y)] ~larger[(?y x)])]
*y[(issuccessorof[(?y num6)] equals[(num7 y)])]
*y[(issuccessorof[(?y num7)] equals[(num8 y)])]
positi... | [larger[(eight seven)]] | realnum(num6) & realnum(num7) & realnum(num8)
all:x all:y ((realnum(x) & realnum(y) & issuccessorof(x, y)) :- larger(x, y))
all:x all:y (larger(x, y) :- ~larger(y, x))
y(issuccessorof(y, num6) & equals(num7, y))
y(issuccessorof(y, num7) & equals(num8, y))
positive(num2)
all:x all:y ((positive(x) & isdouble(y, x))... | larger(eight, seven) | +R2(+n2)++R2(+n2)++R2(+n2)
--((+R0++R0++I0)-+L0)
--(+L0--+L0)
+(+I1++E1)
+(+I1++E1)
+P2(+n2)
--((+P0++I0)-+P0)
+I2
+I2
| +L2
| RealNum(num6) ∧ RealNum(num7) ∧ RealNum(num8)
∀x ∀y ((RealNum(x) ∧ RealNum(y) ∧ IsSuccessorOf(x, y)) → Larger(x, y))
∀x ∀y (Larger(x, y) → ¬Larger(y, x))
∃y(IsSuccessorOf(y, num6) ∧ Equals(num7, y))
∃y(IsSuccessorOf(y, num7) ∧ Equals(num8, y))
Positive(num2)
∀x ∀y ((Positive(x) ∧ IsDouble(y, x)) → Positive(y))
I... | complex | realnum(num6) & realnum(num7) & realnum(num8)
all:x all:y ((realnum(x) & realnum(y) & issuccessorof(x, y)) :- larger(x, y))
all:x all:y (larger(x, y) :- ~larger(y, x))
some:y(issuccessorof(y, num6) & equals(num7, y))
some:y(issuccessorof(y, num7) & equals(num8, y))
positive(num2)
all:x all:y ((positive(x) & isdou... | larger(eight, seven) | realnum(num6) & realnum(num7) & realnum(num8)
all:x all:y ((realnum(x) & realnum(y) & issuccessorof(x, y)) :- larger(x, y))
all:x all:y (larger(x, y) :- notlarger(y, x))
some:y(issuccessorof(y, num6) & equals(num7, y))
some:y(issuccessorof(y, num7) & equals(num8, y))
positive(num2)
all:x all:y ((positive(x) & isd... | larger(eight, seven) | realnum(num6) , realnum(num7) , realnum(num8)
all:x all:y ((realnum(x) , realnum(y) , issuccessorof(x, y)) :- larger(x, y))
all:x all:y (larger(x, y) :- ~larger(y, x))
some:y(issuccessorof(y, num6) , equals(num7, y))
some:y(issuccessorof(y, num7) , equals(num8, y))
positive(num2)
all:x all:y ((positive(x) , isdou... | larger(eight, seven) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'L'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... |
439 | No fish are birds.
An osprey is a bird.
A carp is a fish.
All goldfish are carp.
If Bubbles is either an osprey or a goldfish, then Bubbles is not also a fish. | ∀x (Fish(x) → ¬Bird(x))
∀x (Osprey(x) → Bird(x))
∀x (Carp(x) → Fish(x))
∀x (Goldfish(x) → Carp(x))
Osprey(bubbles) ⊕ Goldfish(bubbles) → ¬Fish(bubbles) | Bubbles is an Osprey. | Osprey(bubbles) | Uncertain | 1,261 | forall x (fish(x) implies not bird(x))
forall x (osprey(x) implies bird(x))
forall x (carp(x) implies fish(x))
forall x (goldfish(x) implies carp(x))
osprey(bubbles) xor goldfish(bubbles) implies not fish(bubbles) | osprey(bubbles) | forall (fish(x) -: notbird(x))
forall (osprey(x) -: bird(x))
forall (carp(x) -: fish(x))
forall (goldfish(x) -: carp(x))
osprey(bubbles) ^ goldfish(bubbles) -: notfish(bubbles) | osprey(bubbles) | [@every *x [(fish[(?x)] ~bird[(?x)])]
@every *x [(osprey[(?x)] bird[(?x)])]
@every *x [(carp[(?x)] fish[(?x)])]
@every *x [(goldfish[(?x)] carp[(?x)])]
osprey[(bubbles)] goldfish[(bubbles)] ~fish[(bubbles)]] | [osprey[(bubbles)]] | all:x (fish(x) :- ~bird(x))
all:x (osprey(x) :- bird(x))
all:x (carp(x) :- fish(x))
all:x (goldfish(x) :- carp(x))
osprey(bubbles) ^ goldfish(bubbles) :- ~fish(bubbles) | osprey(bubbles) | -(+F0--+B0)
-(+O0-+B0)
-(+C0-+F0)
-(+G0-+C0)
+O2(+b2)-+G2(+b2)--+F2(+b2)
| +O2(+b2)
| ∀x (Fish(x) → ¬Bird(x))
∀x (Osprey(x) → Bird(x))
∀x (Carp(x) → Fish(x))
∀x (Goldfish(x) → Carp(x))
Osprey(bubbles) ⊕ Goldfish(bubbles) → ¬Fish(bubbles)Osprey(bubbles) | disjunctive | all:x (fish(x) :- ~bird(x))
all:x (osprey(x) :- bird(x))
all:x (carp(x) :- fish(x))
all:x (goldfish(x) :- carp(x))
osprey(bubbles) ^ goldfish(bubbles) :- ~fish(bubbles) | osprey(bubbles) | all:x (fish(x) :- notbird(x))
all:x (osprey(x) :- bird(x))
all:x (carp(x) :- fish(x))
all:x (goldfish(x) :- carp(x))
osprey(bubbles) ^ goldfish(bubbles) :- notfish(bubbles) | osprey(bubbles) | all:x (fish(x) :- ~bird(x))
all:x (osprey(x) :- bird(x))
all:x (carp(x) :- fish(x))
all:x (goldfish(x) :- carp(x))
osprey(bubbles) ^ goldfish(bubbles) :- ~fish(bubbles) | osprey(bubbles) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'O'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... |
103 | Palstaves are a type of early bronze axe.
Palstaves are found in northern, western, and southwestern Europe and are cast in molds.
John Evans is an archeologist who popularized the term "palstave."
Paalstabs are not a type of axe but rather a digging shovel. | EarlyBronzeAge(palstave) ∧ Axe(palstave)
FoundIn(palstave, northernEurope) ∨ FoundIn(palstave, westernEurope) ∨ FoundIn(palstave, southWesternEurope)) ∧ CastIn(palstave, molds)
Archeologist(johnEvans) ∧ Popularize(johnEvans, termPalstave)
¬Axe(paalstab) ∧ DiggingShovel(paalstab) | There is an axe that is found in Western Europe. | ∃x (Axe(x) ∧ FoundIn(x, westernEurope)) | Uncertain | 314 | earlybronzeage(palstave) and axe(palstave)
foundin(palstave, northerneurope) or foundin(palstave, westerneurope) or foundin(palstave, southwesterneurope)) and castin(palstave, molds)
archeologist(johnevans) and popularize(johnevans, termpalstave)
not axe(paalstab) and diggingshovel(paalstab) | exists x (axe(x) and foundin(x, westerneurope)) | earlybronzeage(palstave) , axe(palstave)
foundin(palstave, northerneurope) | foundin(palstave, westerneurope) | foundin(palstave, southwesterneurope)) , castin(palstave, molds)
archeologist(johnevans) , popularize(johnevans, termpalstave)
notaxe(paalstab) , diggingshovel(paalstab) | (axe(x) , foundin(x, westerneurope)) | [earlybronzeage[(palstave)] axe[(palstave)]
foundin[(palstave northerneurope)] foundin[(palstave westerneurope)] foundin[(palstave southwesterneurope)])] castin[(palstave molds)]
archeologist[(johnevans)] popularize[(johnevans termpalstave)]
~axe[(paalstab)] diggingshovel[(paalstab)]] | [*x [(axe[(?x)] foundin[(?x westerneurope)])]] | earlybronzeage(palstave) & axe(palstave)
foundin(palstave, northerneurope) | foundin(palstave, westerneurope) | foundin(palstave, southwesterneurope)) & castin(palstave, molds)
archeologist(johnevans) & popularize(johnevans, termpalstave)
~axe(paalstab) & diggingshovel(paalstab) | x (axe(x) & foundin(x, westerneurope)) | +E2(+p2)++A2(+p2)
+F2-+F2-+F2)++C2
+A2(+j2)++P2
-+A2(+p2)++D2(+p2)
| +(+A1++F1)
| EarlyBronzeAge(palstave) ∧ Axe(palstave)
FoundIn(palstave, northernEurope) ∨ FoundIn(palstave, westernEurope) ∨ FoundIn(palstave, southWesternEurope)) ∧ CastIn(palstave, molds)
Archeologist(johnEvans) ∧ Popularize(johnEvans, termPalstave)
¬Axe(paalstab) ∧ DiggingShovel(paalstab)∃x (Axe(x) ∧ FoundIn(x, westernEurope)... | disjunctive | earlybronzeage(palstave) & axe(palstave)
foundin(palstave, northerneurope) | foundin(palstave, westerneurope) | foundin(palstave, southwesterneurope)) & castin(palstave, molds)
archeologist(johnevans) & popularize(johnevans, termpalstave)
~axe(paalstab) & diggingshovel(paalstab) | some:x (axe(x) & foundin(x, westerneurope)) | earlybronzeage(palstave) & axe(palstave)
foundin(palstave, northerneurope) | foundin(palstave, westerneurope) | foundin(palstave, southwesterneurope)) & castin(palstave, molds)
archeologist(johnevans) & popularize(johnevans, termpalstave)
notaxe(paalstab) & diggingshovel(paalstab) | some:x (axe(x) & foundin(x, westerneurope)) | earlybronzeage(palstave) , axe(palstave)
foundin(palstave, northerneurope) | foundin(palstave, westerneurope) | foundin(palstave, southwesterneurope)) , castin(palstave, molds)
archeologist(johnevans) , popularize(johnevans, termpalstave)
~axe(paalstab) , diggingshovel(paalstab) | some:x (axe(x) , foundin(x, westerneurope)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'e'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
76 | Asa Hoffmann was born in New York City.
Asa Hoffman lives in Manhattan.
Asa Hoffman is a chess player.
Some chess players are grandmasters.
People born and living in New York City are New Yorkers.
People living in Manhattan live in New York City. | BornIn(asaHoffmann, newYorkCity)
LiveIn(asaHoffmann, manhattan)
ChessPlayer(asaHoffmann)
∃x ∃y (ChessPlayer(x) ∧ GrandMaster(x) ∧ (¬(x=y)) ∧ ChessPlayer(y) ∧ GrandMaster(y))
∀x ((BornIn(x, newYorkCity) ∧ LiveIn(x, newYorkCity)) → NewYorker(x))
∀x (LiveIn(x, manhattan) → LiveIn(x, newYorkCity)) | Asa Hoffmann is a New Yorker. | NewYorker(asaHoffmann) | True | 231 | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
exists x exists y (chessplayer(x) and grandmaster(x) and (not (x=y)) and chessplayer(y) and grandmaster(y))
forall x ((bornin(x, newyorkcity) and livein(x, newyorkcity)) implies newyorker(x))
forall x (livein(x, manhattan) imp... | newyorker(asahoffmann) | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
(chessplayer(x) , grandmaster(x) , (not(x=y)) , chessplayer(y) , grandmaster(y))
forall ((bornin(x, newyorkcity) , livein(x, newyorkcity)) -: newyorker(x))
forall (livein(x, manhattan) -: livein(x, newyorkcity)) | newyorker(asahoffmann) | [bornin[(asahoffmann newyorkcity)]
livein[(asahoffmann manhattan)]
chessplayer[(asahoffmann)]
*x *y [(chessplayer[(?x)] grandmaster[(?x)] [(~[(?x=y)])] chessplayer[(?y)] grandmaster[(?y)])]
@every *x [([(bornin[(?x newyorkcity)] livein[(?x newyorkcity)])] newyorker[(?x)])]
@every *x [(livein[(?x manhatt... | [newyorker[(asahoffmann)]] | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
x y (chessplayer(x) & grandmaster(x) & (~(x=y)) & chessplayer(y) & grandmaster(y))
all:x ((bornin(x, newyorkcity) & livein(x, newyorkcity)) :- newyorker(x))
all:x (livein(x, manhattan) :- livein(x, newyorkcity)) | newyorker(asahoffmann) | +B2
+L2
+C2(+a2)
++(+C1++G1+(-(+x1))++C1++G1)
-((+B0++L0)-+N0)
-(+L0-+L0)
| +N2(+a2)
| BornIn(asaHoffmann, newYorkCity)
LiveIn(asaHoffmann, manhattan)
ChessPlayer(asaHoffmann)
∃x ∃y (ChessPlayer(x) ∧ GrandMaster(x) ∧ (¬(x=y)) ∧ ChessPlayer(y) ∧ GrandMaster(y))
∀x ((BornIn(x, newYorkCity) ∧ LiveIn(x, newYorkCity)) → NewYorker(x))
∀x (LiveIn(x, manhattan) → LiveIn(x, newYorkCity))NewYorker(asaHoffmann... | complex | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
some:x some:y (chessplayer(x) & grandmaster(x) & (~(x=y)) & chessplayer(y) & grandmaster(y))
all:x ((bornin(x, newyorkcity) & livein(x, newyorkcity)) :- newyorker(x))
all:x (livein(x, manhattan) :- livein(x, newyorkcity)) | newyorker(asahoffmann) | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
some:x some:y (chessplayer(x) & grandmaster(x) & (not(x=y)) & chessplayer(y) & grandmaster(y))
all:x ((bornin(x, newyorkcity) & livein(x, newyorkcity)) :- newyorker(x))
all:x (livein(x, manhattan) :- livein(x, newyorkcity)) | newyorker(asahoffmann) | bornin(asahoffmann, newyorkcity)
livein(asahoffmann, manhattan)
chessplayer(asahoffmann)
some:x some:y (chessplayer(x) , grandmaster(x) , (~(x=y)) , chessplayer(y) , grandmaster(y))
all:x ((bornin(x, newyorkcity) , livein(x, newyorkcity)) :- newyorker(x))
all:x (livein(x, manhattan) :- livein(x, newyorkcity)) | newyorker(asahoffmann) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'B'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'N'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'b'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER'... |
143 | Video Gag is a French television series that airs weekly.
Video Gag airs on the French broadcast channel TF1.
If viewers send funny videos to the French broadcast channel TF1, then Video Gag airs them weekly.
All videos aired on Video Gag are in French. | FrenchTelevision(videoGag) ∧ AirWeekly(videoGag)
AirOn(videoGag, frenchBroadcastChannelTF1)
∀x (Funny(x) ∧ Video(x) ∧ SendIn(viewers, x, frenchBroadcastChannelTF1) → AirWeekly(x) ) ∧ AirOn(videoGag, x))
∀x (Video(x) ∧ AirOn(videoGag, x) → In(x, french)) | Viewers send funny videos to the French broadcast channel TF1 that are in French. | ∃x (SendIn(viewers, x, frenchBroadcastChannelTF1) ∧ French(x)) | Uncertain | 419 | frenchtelevision(videogag) and airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
forall x (funny(x) and video(x) and sendin(viewers, x, frenchbroadcastchanneltf1) implies airweekly(x) ) and airon(videogag, x))
forall x (video(x) and airon(videogag, x) implies in(x, french)) | exists x (sendin(viewers, x, frenchbroadcastchanneltf1) and french(x)) | frenchtelevision(videogag) , airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
forall (funny(x) , video(x) , sendin(viewers, x, frenchbroadcastchanneltf1) -: airweekly(x) ) , airon(videogag, x))
forall (video(x) , airon(videogag, x) -: in(x, french)) | (sendin(viewers, x, frenchbroadcastchanneltf1) , french(x)) | [frenchtelevision[(videogag)] airweekly[(videogag)]
airon[(videogag frenchbroadcastchanneltf1)]
@every *x [(funny[(?x)] video[(?x)] sendin[(viewers x frenchbroadcastchanneltf1)] airweekly[(?x)] )] airon[(videogag x)])]
@every *x [(video[(?x)] airon[(videogag x)] in[(?x french)])]] | [*x [(sendin[(viewers x frenchbroadcastchanneltf1)] french[(?x)])]] | frenchtelevision(videogag) & airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
all:x (funny(x) & video(x) & sendin(viewers, x, frenchbroadcastchanneltf1) :- airweekly(x) ) & airon(videogag, x))
all:x (video(x) & airon(videogag, x) :- in(x, french)) | x (sendin(viewers, x, frenchbroadcastchanneltf1) & french(x)) | +F2(+v2)++A2(+v2)
+A2
-(+F0++V0++S0-+A0)++A0)
-(+V0++A0-+I0)
| +(+S1++F1)
| FrenchTelevision(videoGag) ∧ AirWeekly(videoGag)
AirOn(videoGag, frenchBroadcastChannelTF1)
∀x (Funny(x) ∧ Video(x) ∧ SendIn(viewers, x, frenchBroadcastChannelTF1) → AirWeekly(x) ) ∧ AirOn(videoGag, x))
∀x (Video(x) ∧ AirOn(videoGag, x) → In(x, french))∃x (SendIn(viewers, x, frenchBroadcastChannelTF1) ∧ French(x)) | complex | frenchtelevision(videogag) & airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
all:x (funny(x) & video(x) & sendin(viewers, x, frenchbroadcastchanneltf1) :- airweekly(x) ) & airon(videogag, x))
all:x (video(x) & airon(videogag, x) :- in(x, french)) | some:x (sendin(viewers, x, frenchbroadcastchanneltf1) & french(x)) | frenchtelevision(videogag) & airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
all:x (funny(x) & video(x) & sendin(viewers, x, frenchbroadcastchanneltf1) :- airweekly(x) ) & airon(videogag, x))
all:x (video(x) & airon(videogag, x) :- in(x, french)) | some:x (sendin(viewers, x, frenchbroadcastchanneltf1) & french(x)) | frenchtelevision(videogag) , airweekly(videogag)
airon(videogag, frenchbroadcastchanneltf1)
all:x (funny(x) , video(x) , sendin(viewers, x, frenchbroadcastchanneltf1) :- airweekly(x) ) , airon(videogag, x))
all:x (video(x) , airon(videogag, x) :- in(x, french)) | some:x (sendin(viewers, x, frenchbroadcastchanneltf1) , french(x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'F'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
444 | All birds have wings.
Animals with wings aren't reptiles.
Some animals that fly are birds.
If something is an iguana, then it is a reptile. Simeng: All iguanas are reptiles.
John is either both an iguana and a bird, or he is neither.
John is an animal. | ∀x (Bird(x) → ∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z)))
∀x (Animal(x) ∧ (∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z))) → ¬Reptile(x))
∃x (Animal(x) ∧ Fly(x) ∧ Bird(x))
∀x (Iguana(x) → Reptile(x))
¬(Iguana(john) ⊕ Bird(john))
Animal(john) | John is a reptile. | Reptile(john) | Uncertain | 1,277 | forall x (bird(x) implies exists y exists z (not (y=z) and wing(y) and wing(z) and have(x, y) and have(x, z)))
forall x (animal(x) and (exists y exists z (not (y=z) and wing(y) and wing(z) and have(x, y) and have(x, z))) implies not reptile(x))
exists x (animal(x) and fly(x) and bird(x))
forall x (iguana(x) implies ... | reptile(john) | forall (bird(x) -: (not(y=z) , wing(y) , wing(z) , have(x, y) , have(x, z)))
forall (animal(x) , ( (not(y=z) , wing(y) , wing(z) , have(x, y) , have(x, z))) -: notreptile(x))
(animal(x) , fly(x) , bird(x))
forall (iguana(x) -: reptile(x))
not(iguana(john) ^ bird(john))
animal(john) | reptile(john) | [@every *x [(bird[(?x)] *y *z [(~[(?y=z)] wing[(?y)] wing[(?z)] have[(?x y)] have[(?x z)])])]
@every *x [(animal[(?x)] [(*y *z [(~[(?y=z)] wing[(?y)] wing[(?z)] have[(?x y)] have[(?x z)])])] ~reptile[(?x)])]
*x [(animal[(?x)] fly[(?x)] bird[(?x)])]
@every *x [(iguana[(?x)] reptile[(?x)])]
~[(iguan... | [reptile[(john)]] | all:x (bird(x) :- y z (~(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z)))
all:x (animal(x) & (y z (~(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z))) :- ~reptile(x))
x (animal(x) & fly(x) & bird(x))
all:x (iguana(x) :- reptile(x))
~(iguana(john) ^ bird(john))
animal(john) | reptile(john) | -(+B0-++(-(+y0)++W0++W0++H0++H0))
-(+A0+(++(-(+y1)++W1++W1++H1++H1))--+R1)
+(+A1++F1++B1)
-(+I0-+R0)
-(+I2(+j2)-+B2(+j2))
+A2(+j2)
| +R2(+j2)
| ∀x (Bird(x) → ∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z)))
∀x (Animal(x) ∧ (∃y ∃z (¬(y=z) ∧ Wing(y) ∧ Wing(z) ∧ Have(x, y) ∧ Have(x, z))) → ¬Reptile(x))
∃x (Animal(x) ∧ Fly(x) ∧ Bird(x))
∀x (Iguana(x) → Reptile(x))
¬(Iguana(john) ⊕ Bird(john))
Animal(john)Reptile(john) | disjunctive | all:x (bird(x) :- some:y some:z (~(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z)))
all:x (animal(x) & (some:y some:z (~(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z))) :- ~reptile(x))
some:x (animal(x) & fly(x) & bird(x))
all:x (iguana(x) :- reptile(x))
~(iguana(john) ^ bird(john))
animal(john) | reptile(john) | all:x (bird(x) :- some:y some:z (not(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z)))
all:x (animal(x) & (some:y some:z (not(y=z) & wing(y) & wing(z) & have(x, y) & have(x, z))) :- notreptile(x))
some:x (animal(x) & fly(x) & bird(x))
all:x (iguana(x) :- reptile(x))
not(iguana(john) ^ bird(john))
animal(john) | reptile(john) | all:x (bird(x) :- some:y some:z (~(y=z) , wing(y) , wing(z) , have(x, y) , have(x, z)))
all:x (animal(x) , (some:y some:z (~(y=z) , wing(y) , wing(z) , have(x, y) , have(x, z))) :- ~reptile(x))
some:x (animal(x) , fly(x) , bird(x))
all:x (iguana(x) :- reptile(x))
~(iguana(john) ^ bird(john))
animal(john) | reptile(john) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'R'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER'... |
81 | Quiksilver sells sportswear, clothing, footwear, and accessories.
Flannels are a type of clothing.
Joe owns an item from Quiksilver. | ∀x (Sells(quiksilver, x) → (Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)))
Clothing(flannel)
∃x (Sells(quiksilver, x) ∧ Owns(joe, x)) | Joe owns a flannel. | Owns(joe, flannel) | Uncertain | 247 | forall x (sells(quiksilver, x) implies (sportswear(x) or clothing(x) or footwear(x) or accessory(x)))
clothing(flannel)
exists x (sells(quiksilver, x) and owns(joe, x)) | owns(joe, flannel) | forall (sells(quiksilver, x) -: (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
(sells(quiksilver, x) , owns(joe, x)) | owns(joe, flannel) | [@every *x [(sells[(quiksilver x)] [(sportswear[(?x)] clothing[(?x)] footwear[(?x)] accessory[(?x)])])]
clothing[(flannel)]
*x [(sells[(quiksilver x)] owns[(joe x)])]] | [owns[(joe flannel)]] | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
x (sells(quiksilver, x) & owns(joe, x)) | owns(joe, flannel) | -(+S0-(+S0-+C0-+F0-+A0))
+C2(+f2)
+(+S1++O1)
| +O2
| ∀x (Sells(quiksilver, x) → (Sportswear(x) ∨ Clothing(x) ∨ Footwear(x) ∨ Accessory(x)))
Clothing(flannel)
∃x (Sells(quiksilver, x) ∧ Owns(joe, x))Owns(joe, flannel) | disjunctive | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) & owns(joe, x)) | owns(joe, flannel) | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) & owns(joe, x)) | owns(joe, flannel) | all:x (sells(quiksilver, x) :- (sportswear(x) | clothing(x) | footwear(x) | accessory(x)))
clothing(flannel)
some:x (sells(quiksilver, x) , owns(joe, x)) | owns(joe, flannel) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'O'}, {'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER'... |
320 | All cancers have mutations.
No mutations can be treated at home.
All colorectal cancers are cancers.
A cold can be treated at home.
Arthritis either is a cold and has mutations or neither is a cold nor has mutations. | ∀x (Cancer(x) → Have(x, mutation))
∀x (Have(x, mutation) → ¬CanBeTreatedAtHome(x))
∀x (ColorectalCancer(x) → Cancer(x))
∀x (Cold(x) → CanBeTreatedAtHome(x))
¬(Cold(arthritis) ⊕ Have(arthritis, mutation)) | Arthritis is colorectal cancer. | ColorectalCancer(arthritis) | False | 811 | forall x (cancer(x) implies have(x, mutation))
forall x (have(x, mutation) implies not canbetreatedathome(x))
forall x (colorectalcancer(x) implies cancer(x))
forall x (cold(x) implies canbetreatedathome(x))
not (cold(arthritis) xor have(arthritis, mutation)) | colorectalcancer(arthritis) | forall (cancer(x) -: have(x, mutation))
forall (have(x, mutation) -: notcanbetreatedathome(x))
forall (colorectalcancer(x) -: cancer(x))
forall (cold(x) -: canbetreatedathome(x))
not(cold(arthritis) ^ have(arthritis, mutation)) | colorectalcancer(arthritis) | [@every *x [(cancer[(?x)] have[(?x mutation)])]
@every *x [(have[(?x mutation)] ~canbetreatedathome[(?x)])]
@every *x [(colorectalcancer[(?x)] cancer[(?x)])]
@every *x [(cold[(?x)] canbetreatedathome[(?x)])]
~[(cold[(arthritis)] have[(arthritis mutation)])]] | [colorectalcancer[(arthritis)]] | all:x (cancer(x) :- have(x, mutation))
all:x (have(x, mutation) :- ~canbetreatedathome(x))
all:x (colorectalcancer(x) :- cancer(x))
all:x (cold(x) :- canbetreatedathome(x))
~(cold(arthritis) ^ have(arthritis, mutation)) | colorectalcancer(arthritis) | -(+C0-+H0)
-(+H0--+C0)
-(+C0-+C0)
-(+C0-+C0)
-(+C2(+a2)-+H2)
| +C2(+a2)
| ∀x (Cancer(x) → Have(x, mutation))
∀x (Have(x, mutation) → ¬CanBeTreatedAtHome(x))
∀x (ColorectalCancer(x) → Cancer(x))
∀x (Cold(x) → CanBeTreatedAtHome(x))
¬(Cold(arthritis) ⊕ Have(arthritis, mutation))ColorectalCancer(arthritis) | disjunctive | all:x (cancer(x) :- have(x, mutation))
all:x (have(x, mutation) :- ~canbetreatedathome(x))
all:x (colorectalcancer(x) :- cancer(x))
all:x (cold(x) :- canbetreatedathome(x))
~(cold(arthritis) ^ have(arthritis, mutation)) | colorectalcancer(arthritis) | all:x (cancer(x) :- have(x, mutation))
all:x (have(x, mutation) :- notcanbetreatedathome(x))
all:x (colorectalcancer(x) :- cancer(x))
all:x (cold(x) :- canbetreatedathome(x))
not(cold(arthritis) ^ have(arthritis, mutation)) | colorectalcancer(arthritis) | all:x (cancer(x) :- have(x, mutation))
all:x (have(x, mutation) :- ~canbetreatedathome(x))
all:x (colorectalcancer(x) :- cancer(x))
all:x (cold(x) :- canbetreatedathome(x))
~(cold(arthritis) ^ have(arthritis, mutation)) | colorectalcancer(arthritis) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'C'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'c'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER'... |
374 |
All functions that represent straight lines on the coordinate plane are linear functions.
No linear functions are non-convex functions.
A function is either a non-convex fuction or a convex function.
All quasi-convex functions are real-valued functions.
All convex functions are quasi-convex functions.
The maxi... | ∀x (Function(x) ∧ RepresentOn(x, straightLine, coordinatePlane) → LinearFunction(x))
∀x (LinearFunction(x) → ¬NonConvexFunction(x))
∀x (Function(x) → NonConvexFunction(x) ⊕ ConvexFunction(x))
∀x (QuasiConvexFunction(x) → RealValuedFunction(x))
∀x (ConvexFunction(x) → QuasiConvexFunction(x))
Function(maximumOfQuasi... | The maximum of quasiconvex functions is a quasi-convex function or it is not a real-valued function. | QuasiConvexFunction(maximumOfQuasiConvexFunction) ∨ ¬RealValuedFunction(maximumOfQuasiConvexFunction) | True | 998 | forall x (function(x) and representon(x, straightline, coordinateplane) implies linearfunction(x))
forall x (linearfunction(x) implies not nonconvexfunction(x))
forall x (function(x) implies nonconvexfunction(x) xor convexfunction(x))
forall x (quasiconvexfunction(x) implies realvaluedfunction(x))
forall x (convexf... | quasiconvexfunction(maximumofquasiconvexfunction) or not realvaluedfunction(maximumofquasiconvexfunction) | forall (function(x) , representon(x, straightline, coordinateplane) -: linearfunction(x))
forall (linearfunction(x) -: notnonconvexfunction(x))
forall (function(x) -: nonconvexfunction(x) ^ convexfunction(x))
forall (quasiconvexfunction(x) -: realvaluedfunction(x))
forall (convexfunction(x) -: quasiconvexfunction(x... | quasiconvexfunction(maximumofquasiconvexfunction) | notrealvaluedfunction(maximumofquasiconvexfunction) | [@every *x [(function[(?x)] representon[(?x straightline coordinateplane)] linearfunction[(?x)])]
@every *x [(linearfunction[(?x)] ~nonconvexfunction[(?x)])]
@every *x [(function[(?x)] nonconvexfunction[(?x)] convexfunction[(?x)])]
@every *x [(quasiconvexfunction[(?x)] realvaluedfunction[(?x)])]
@every *x [... | [quasiconvexfunction[(maximumofquasiconvexfunction)] ~realvaluedfunction[(maximumofquasiconvexfunction)]] | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | quasiconvexfunction(maximumofquasiconvexfunction) | ~realvaluedfunction(maximumofquasiconvexfunction) | -(+F0++R0-+L0)
-(+L0--+N0)
-(+F0-+N0-+C0)
-(+Q0-+R0)
-(+C0-+Q0)
+F2(+m2)
(+F2(+m2)++R2)-+C2(+m2)--+N2(+m2)
| +Q2(+m2)--+R2(+m2)
| ∀x (Function(x) ∧ RepresentOn(x, straightLine, coordinatePlane) → LinearFunction(x))
∀x (LinearFunction(x) → ¬NonConvexFunction(x))
∀x (Function(x) → NonConvexFunction(x) ⊕ ConvexFunction(x))
∀x (QuasiConvexFunction(x) → RealValuedFunction(x))
∀x (ConvexFunction(x) → QuasiConvexFunction(x))
Function(maximumOfQuasi... | disjunctive | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | quasiconvexfunction(maximumofquasiconvexfunction) | ~realvaluedfunction(maximumofquasiconvexfunction) | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- notnonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
f... | quasiconvexfunction(maximumofquasiconvexfunction) | notrealvaluedfunction(maximumofquasiconvexfunction) | all:x (function(x) , representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | quasiconvexfunction(maximumofquasiconvexfunction) | ~realvaluedfunction(maximumofquasiconvexfunction) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
323 | No disposable products can help slow down global warming.
All eco-friendly brands can help slow down global warming.
All sustainable fashion brands are eco-friendly brands.
All fast fashion products are disposable products.
If Reformation is not helping slow down global warming, then Reformation is an eco-friendl... | ∀x (Disposable(x) ∧ Product(x) → ¬HelpSlowDown(x, globalWarming))
∀x (EcoFriendly(x) ∧ Brand(x) → Help(x, slowDownGlobalWarming))
∀x (Sustainable(x) ∧ FashionBrand(x) → EcoFriendly(x) ∧ Brand(x))
∀x (FastFashion(x) ∧ Product(x) → Disposable(x) ∧ Product(x))
¬HelpSlowDown(reformation, globalWarming) → (EcoFriendly(... | Reformation is an eco-friendly brand. | EcoFriendly(reformation) ∧ Brand(reformation) | Uncertain | 822 | forall x (disposable(x) and product(x) implies not helpslowdown(x, globalwarming))
forall x (ecofriendly(x) and brand(x) implies help(x, slowdownglobalwarming))
forall x (sustainable(x) and fashionbrand(x) implies ecofriendly(x) and brand(x))
forall x (fastfashion(x) and product(x) implies disposable(x) and product(... | ecofriendly(reformation) and brand(reformation) | forall (disposable(x) , product(x) -: nothelpslowdown(x, globalwarming))
forall (ecofriendly(x) , brand(x) -: help(x, slowdownglobalwarming))
forall (sustainable(x) , fashionbrand(x) -: ecofriendly(x) , brand(x))
forall (fastfashion(x) , product(x) -: disposable(x) , product(x))
nothelpslowdown(reformation, global... | ecofriendly(reformation) , brand(reformation) | [@every *x [(disposable[(?x)] product[(?x)] ~helpslowdown[(?x globalwarming)])]
@every *x [(ecofriendly[(?x)] brand[(?x)] help[(?x slowdownglobalwarming)])]
@every *x [(sustainable[(?x)] fashionbrand[(?x)] ecofriendly[(?x)] brand[(?x)])]
@every *x [(fastfashion[(?x)] product[(?x)] disposable[(?x)] produc... | [ecofriendly[(reformation)] brand[(reformation)]] | all:x (disposable(x) & product(x) :- ~helpslowdown(x, globalwarming))
all:x (ecofriendly(x) & brand(x) :- help(x, slowdownglobalwarming))
all:x (sustainable(x) & fashionbrand(x) :- ecofriendly(x) & brand(x))
all:x (fastfashion(x) & product(x) :- disposable(x) & product(x))
~helpslowdown(reformation, globalwarming)... | ecofriendly(reformation) & brand(reformation) | -(+D0++P0--+H0)
-(+E0++B0-+H0)
-(+S0++F0-+E0++B0)
-(+F0++P0-+D0++P0)
-+H2-(+E2(+r2)++B2(+r2))-(+S2(+r2)++F2(+r2))
| +E2(+r2)++B2(+r2)
| ∀x (Disposable(x) ∧ Product(x) → ¬HelpSlowDown(x, globalWarming))
∀x (EcoFriendly(x) ∧ Brand(x) → Help(x, slowDownGlobalWarming))
∀x (Sustainable(x) ∧ FashionBrand(x) → EcoFriendly(x) ∧ Brand(x))
∀x (FastFashion(x) ∧ Product(x) → Disposable(x) ∧ Product(x))
¬HelpSlowDown(reformation, globalWarming) → (EcoFriendly(... | disjunctive | all:x (disposable(x) & product(x) :- ~helpslowdown(x, globalwarming))
all:x (ecofriendly(x) & brand(x) :- help(x, slowdownglobalwarming))
all:x (sustainable(x) & fashionbrand(x) :- ecofriendly(x) & brand(x))
all:x (fastfashion(x) & product(x) :- disposable(x) & product(x))
~helpslowdown(reformation, globalwarming)... | ecofriendly(reformation) & brand(reformation) | all:x (disposable(x) & product(x) :- nothelpslowdown(x, globalwarming))
all:x (ecofriendly(x) & brand(x) :- help(x, slowdownglobalwarming))
all:x (sustainable(x) & fashionbrand(x) :- ecofriendly(x) & brand(x))
all:x (fastfashion(x) & product(x) :- disposable(x) & product(x))
nothelpslowdown(reformation, globalwarm... | ecofriendly(reformation) & brand(reformation) | all:x (disposable(x) , product(x) :- ~helpslowdown(x, globalwarming))
all:x (ecofriendly(x) , brand(x) :- help(x, slowdownglobalwarming))
all:x (sustainable(x) , fashionbrand(x) :- ecofriendly(x) , brand(x))
all:x (fastfashion(x) , product(x) :- disposable(x) , product(x))
~helpslowdown(reformation, globalwarming)... | ecofriendly(reformation) , brand(reformation) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'E'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
415 | All books written by Neil Gaiman have sold more than one thousand copies.
Some books that have won Hugo Awards are written by Neil Gaiman.
Tomas has read all books written by Tolkien.
Either Tomas has read Hamlet, or it has sold more than one thousand copies.
Hamlet has either sold more than one thousand copies or... | ∀x ((Book(x) ∧ WrittenBy(x, neilGaiman)) → ∃y (MoreThan(y, num1000) ∧ SoldCopies(x, y)))
∃x ∃y (Book(x) ∧ Win(x, hugoAward) ∧ WrittenBy(x, neilGaiman) ∧ (¬(x=y)) ∧ Book(y) ∧ Win(y, hugoAward) ∧ WrittenBy(y, neilGaiman))
∀x ((Book(x) ∧ WrittenBy(x, tolkien)) → ReadBy(x, tomas))
ReadBy(hamlet, tomas) ⊕ (∃y (MoreThan(y... | Hamlet has won a Hugo Award. | Win(hamlet, hugoAward) | Uncertain | 1,166 | forall x ((book(x) and writtenby(x, neilgaiman)) implies exists y (morethan(y, num1000) and soldcopies(x, y)))
exists x exists y (book(x) and win(x, hugoaward) and writtenby(x, neilgaiman) and (not (x=y)) and book(y) and win(y, hugoaward) and writtenby(y, neilgaiman))
forall x ((book(x) and writtenby(x, tolkien)) imp... | win(hamlet, hugoaward) | forall ((book(x) , writtenby(x, neilgaiman)) -: (morethan(y, num1000) , soldcopies(x, y)))
(book(x) , win(x, hugoaward) , writtenby(x, neilgaiman) , (not(x=y)) , book(y) , win(y, hugoaward) , writtenby(y, neilgaiman))
forall ((book(x) , writtenby(x, tolkien)) -: readby(x, tomas))
readby(hamlet, tomas) ^ ( (moreth... | win(hamlet, hugoaward) | [@every *x [([(book[(?x)] writtenby[(?x neilgaiman)])] *y [(morethan[(?y num1000)] soldcopies[(?x y)])])]
*x *y [(book[(?x)] win[(?x hugoaward)] writtenby[(?x neilgaiman)] [(~[(?x=y)])] book[(?y)] win[(?y hugoaward)] writtenby[(?y neilgaiman)])]
@every *x [([(book[(?x)] writtenby[(?x tolkien)])] re... | [win[(hamlet hugoaward)]] | all:x ((book(x) & writtenby(x, neilgaiman)) :- y (morethan(y, num1000) & soldcopies(x, y)))
x y (book(x) & win(x, hugoaward) & writtenby(x, neilgaiman) & (~(x=y)) & book(y) & win(y, hugoaward) & writtenby(y, neilgaiman))
all:x ((book(x) & writtenby(x, tolkien)) :- readby(x, tomas))
readby(hamlet, tomas) ^ (y (moreth... | win(hamlet, hugoaward) | -((+B0++W0)-+(+M1++S1))
++(+B1++W1++W1+(-(+x1))++B1++W1++W1)
-((+B0++W0)-+R0)
+R2-(+(+M1++S1))
+(+M1++S1)-+W1
| +W2
| ∀x ((Book(x) ∧ WrittenBy(x, neilGaiman)) → ∃y (MoreThan(y, num1000) ∧ SoldCopies(x, y)))
∃x ∃y (Book(x) ∧ Win(x, hugoAward) ∧ WrittenBy(x, neilGaiman) ∧ (¬(x=y)) ∧ Book(y) ∧ Win(y, hugoAward) ∧ WrittenBy(y, neilGaiman))
∀x ((Book(x) ∧ WrittenBy(x, tolkien)) → ReadBy(x, tomas))
ReadBy(hamlet, tomas) ⊕ (∃y (MoreThan(y... | disjunctive | all:x ((book(x) & writtenby(x, neilgaiman)) :- some:y (morethan(y, num1000) & soldcopies(x, y)))
some:x some:y (book(x) & win(x, hugoaward) & writtenby(x, neilgaiman) & (~(x=y)) & book(y) & win(y, hugoaward) & writtenby(y, neilgaiman))
all:x ((book(x) & writtenby(x, tolkien)) :- readby(x, tomas))
readby(hamlet, toma... | win(hamlet, hugoaward) | all:x ((book(x) & writtenby(x, neilgaiman)) :- some:y (morethan(y, num1000) & soldcopies(x, y)))
some:x some:y (book(x) & win(x, hugoaward) & writtenby(x, neilgaiman) & (not(x=y)) & book(y) & win(y, hugoaward) & writtenby(y, neilgaiman))
all:x ((book(x) & writtenby(x, tolkien)) :- readby(x, tomas))
readby(hamlet, to... | win(hamlet, hugoaward) | all:x ((book(x) , writtenby(x, neilgaiman)) :- some:y (morethan(y, num1000) , soldcopies(x, y)))
some:x some:y (book(x) , win(x, hugoaward) , writtenby(x, neilgaiman) , (~(x=y)) , book(y) , win(y, hugoaward) , writtenby(y, neilgaiman))
all:x ((book(x) , writtenby(x, tolkien)) :- readby(x, tomas))
readby(hamlet, toma... | win(hamlet, hugoaward) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'leftpare... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'W'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'n'}]}, {'type': 'leftp... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'leftp... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'w'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'n'}]}, {'type': 'leftp... |
314 | No animals are plants.
All humans are animals.
All pupils are humans.
All flowers are plants.
Bailey is either both a human and a flower or neither a human nor a flower. | ∀x (Animal(x) → ¬Plant(x))
∀x (Human(x) → Animal(x))
∀x (Pupil(x) → Human(x))
∀x (Flower(x) → Plant(x))
¬(Human(bailey) ⊕ Flower(bailey)) | Bailey is not a pupil. | ¬Pupil(bailey) | True | 783 | forall x (animal(x) implies not plant(x))
forall x (human(x) implies animal(x))
forall x (pupil(x) implies human(x))
forall x (flower(x) implies plant(x))
not (human(bailey) xor flower(bailey)) | not pupil(bailey) | forall (animal(x) -: notplant(x))
forall (human(x) -: animal(x))
forall (pupil(x) -: human(x))
forall (flower(x) -: plant(x))
not(human(bailey) ^ flower(bailey)) | notpupil(bailey) | [@every *x [(animal[(?x)] ~plant[(?x)])]
@every *x [(human[(?x)] animal[(?x)])]
@every *x [(pupil[(?x)] human[(?x)])]
@every *x [(flower[(?x)] plant[(?x)])]
~[(human[(bailey)] flower[(bailey)])]] | ~[pupil[(bailey)]] | all:x (animal(x) :- ~plant(x))
all:x (human(x) :- animal(x))
all:x (pupil(x) :- human(x))
all:x (flower(x) :- plant(x))
~(human(bailey) ^ flower(bailey)) | ~pupil(bailey) | -(+A0--+P0)
-(+H0-+A0)
-(+P0-+H0)
-(+F0-+P0)
-(+H2(+b2)-+F2(+b2))
| -+P2(+b2)
| ∀x (Animal(x) → ¬Plant(x))
∀x (Human(x) → Animal(x))
∀x (Pupil(x) → Human(x))
∀x (Flower(x) → Plant(x))
¬(Human(bailey) ⊕ Flower(bailey))¬Pupil(bailey) | disjunctive | all:x (animal(x) :- ~plant(x))
all:x (human(x) :- animal(x))
all:x (pupil(x) :- human(x))
all:x (flower(x) :- plant(x))
~(human(bailey) ^ flower(bailey)) | ~pupil(bailey) | all:x (animal(x) :- notplant(x))
all:x (human(x) :- animal(x))
all:x (pupil(x) :- human(x))
all:x (flower(x) :- plant(x))
not(human(bailey) ^ flower(bailey)) | notpupil(bailey) | all:x (animal(x) :- ~plant(x))
all:x (human(x) :- animal(x))
all:x (pupil(x) :- human(x))
all:x (flower(x) :- plant(x))
~(human(bailey) ^ flower(bailey)) | ~pupil(bailey) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
167 | If you go somewhere by train, you will not lose time.
If you go somewhere by car and meet a traffic jam, you will lose time.
If you lose time, you will be late for work.
Mary can get from New Haven to New York City either by train or car.
Mary is late for work. | ∀x (GoByTrain(x) → ¬LoseTime(x))
∀x((GoByCar(x) ∧ Meet(x, trafficJam)) → LoseTime(x))
∀x (LoseTime(x) → LateForWork(x))
FromAndTo(newHaven, newYork) ∧ (GoByTrain(mary) ⊕ GoByCar(mary))
LateForWork(mary) | Mary gets from New Haven to New York City by car. | FromAndTo(newHaven, newYork) ∧ GoByCar(mary) | True | 480 | forall x (gobytrain(x) implies not losetime(x))
forall x((gobycar(x) and meet(x, trafficjam)) implies losetime(x))
forall x (losetime(x) implies lateforwork(x))
fromandto(newhaven, newyork) and (gobytrain(mary) xor gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) and gobycar(mary) | forall (gobytrain(x) -: notlosetime(x))
forall((gobycar(x) , meet(x, trafficjam)) -: losetime(x))
forall (losetime(x) -: lateforwork(x))
fromandto(newhaven, newyork) , (gobytrain(mary) ^ gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) , gobycar(mary) | [@every *x [(gobytrain[(?x)] ~losetime[(?x)])]
@every *x[([(gobycar[(?x)] meet[(?x trafficjam)])] losetime[(?x)])]
@every *x [(losetime[(?x)] lateforwork[(?x)])]
fromandto[(newhaven newyork)] [(gobytrain[(mary)] gobycar[(mary)])]
lateforwork[(mary)]] | [fromandto[(newhaven newyork)] gobycar[(mary)]] | all:x (gobytrain(x) :- ~losetime(x))
all:x((gobycar(x) & meet(x, trafficjam)) :- losetime(x))
all:x (losetime(x) :- lateforwork(x))
fromandto(newhaven, newyork) & (gobytrain(mary) ^ gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) & gobycar(mary) | -(+G0--+L0)
-((+G0++M0)-+L0)
-(+L0-+L0)
+F2+(+G2(+m2)-+G2(+m2))
+L2(+m2)
| +F2++G2(+m2)
| ∀x (GoByTrain(x) → ¬LoseTime(x))
∀x((GoByCar(x) ∧ Meet(x, trafficJam)) → LoseTime(x))
∀x (LoseTime(x) → LateForWork(x))
FromAndTo(newHaven, newYork) ∧ (GoByTrain(mary) ⊕ GoByCar(mary))
LateForWork(mary)FromAndTo(newHaven, newYork) ∧ GoByCar(mary) | disjunctive | all:x (gobytrain(x) :- ~losetime(x))
all:x((gobycar(x) & meet(x, trafficjam)) :- losetime(x))
all:x (losetime(x) :- lateforwork(x))
fromandto(newhaven, newyork) & (gobytrain(mary) ^ gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) & gobycar(mary) | all:x (gobytrain(x) :- notlosetime(x))
all:x((gobycar(x) & meet(x, trafficjam)) :- losetime(x))
all:x (losetime(x) :- lateforwork(x))
fromandto(newhaven, newyork) & (gobytrain(mary) ^ gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) & gobycar(mary) | all:x (gobytrain(x) :- ~losetime(x))
all:x((gobycar(x) , meet(x, trafficjam)) :- losetime(x))
all:x (losetime(x) :- lateforwork(x))
fromandto(newhaven, newyork) , (gobytrain(mary) ^ gobycar(mary))
lateforwork(mary) | fromandto(newhaven, newyork) , gobycar(mary) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'F'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'... |
436 | All of this brand's products are either produced in China or in the US.
All of this brand's products produced in China are labeled.
All of this brand's products produced in the US are sold in the US.
The products of this brand that are labeled are cheaper.
All of this brand's products sold in the US are sold at ... | ∀x (ThisBrand(x) ∧ Product(x) → (ProducedIn(x, china) ⊕ ProducedIn(x, uS)))
∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, china)) → Labeled(x))
∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, us)) → SoldIn(x, us))
∀x ((ThisBrand(x) ∧ Product(x) ∧ Labeled(x)) → Cheaper(x))
∀x ((ThisBrand(x) ∧ Product(x) ∧ SoldIn(x, ... | G-910 is displayed on the homepage. | DisplayedIn(g910, homepage) | Uncertain | 1,248 | forall x (thisbrand(x) and product(x) implies (producedin(x, china) xor producedin(x, us)))
forall x ((thisbrand(x) and product(x) and producedin(x, china)) implies labeled(x))
forall x ((thisbrand(x) and product(x) and producedin(x, us)) implies soldin(x, us))
forall x ((thisbrand(x) and product(x) and labeled(x)) ... | displayedin(g910, homepage) | forall (thisbrand(x) , product(x) -: (producedin(x, china) ^ producedin(x, us)))
forall ((thisbrand(x) , product(x) , producedin(x, china)) -: labeled(x))
forall ((thisbrand(x) , product(x) , producedin(x, us)) -: soldin(x, us))
forall ((thisbrand(x) , product(x) , labeled(x)) -: cheaper(x))
forall ((thisbrand(x) ,... | displayedin(g910, homepage) | [@every *x [(thisbrand[(?x)] product[(?x)] [(producedin[(?x china)] producedin[(?x us)])])]
@every *x [([(thisbrand[(?x)] product[(?x)] producedin[(?x china)])] labeled[(?x)])]
@every *x [([(thisbrand[(?x)] product[(?x)] producedin[(?x us)])] soldin[(?x us)])]
@every *x [([(thisbrand[(?x)] product[(?x... | [displayedin[(g910 homepage)]] | all:x (thisbrand(x) & product(x) :- (producedin(x, china) ^ producedin(x, us)))
all:x ((thisbrand(x) & product(x) & producedin(x, china)) :- labeled(x))
all:x ((thisbrand(x) & product(x) & producedin(x, us)) :- soldin(x, us))
all:x ((thisbrand(x) & product(x) & labeled(x)) :- cheaper(x))
all:x ((thisbrand(x) & prod... | displayedin(g910, homepage) | -(+T0++P0-(+P0-+P0))
-((+T0++P0++P0)-+L0)
-((+T0++P0++P0)-+S0)
-((+T0++P0++L0)-+C0)
-((+T0++P0++S0)-+S0)
-(+T0++P0++D0-+S0)
-(+T0++P0++R0--+S0)
+P2(+g2)++T2(+g2)+(-(+D2-+C2(+g2)))
| +D2
| ∀x (ThisBrand(x) ∧ Product(x) → (ProducedIn(x, china) ⊕ ProducedIn(x, uS)))
∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, china)) → Labeled(x))
∀x ((ThisBrand(x) ∧ Product(x) ∧ ProducedIn(x, us)) → SoldIn(x, us))
∀x ((ThisBrand(x) ∧ Product(x) ∧ Labeled(x)) → Cheaper(x))
∀x ((ThisBrand(x) ∧ Product(x) ∧ SoldIn(x, ... | disjunctive | all:x (thisbrand(x) & product(x) :- (producedin(x, china) ^ producedin(x, us)))
all:x ((thisbrand(x) & product(x) & producedin(x, china)) :- labeled(x))
all:x ((thisbrand(x) & product(x) & producedin(x, us)) :- soldin(x, us))
all:x ((thisbrand(x) & product(x) & labeled(x)) :- cheaper(x))
all:x ((thisbrand(x) & prod... | displayedin(g910, homepage) | all:x (thisbrand(x) & product(x) :- (producedin(x, china) ^ producedin(x, us)))
all:x ((thisbrand(x) & product(x) & producedin(x, china)) :- labeled(x))
all:x ((thisbrand(x) & product(x) & producedin(x, us)) :- soldin(x, us))
all:x ((thisbrand(x) & product(x) & labeled(x)) :- cheaper(x))
all:x ((thisbrand(x) & prod... | displayedin(g910, homepage) | all:x (thisbrand(x) , product(x) :- (producedin(x, china) ^ producedin(x, us)))
all:x ((thisbrand(x) , product(x) , producedin(x, china)) :- labeled(x))
all:x ((thisbrand(x) , product(x) , producedin(x, us)) :- soldin(x, us))
all:x ((thisbrand(x) , product(x) , labeled(x)) :- cheaper(x))
all:x ((thisbrand(x) , prod... | displayedin(g910, homepage) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'D'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'd'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... |
481 | All biodegradable things are environment-friendly.
All woodware is biodegradable.
All paper is woodware.
Nothing is a good thing and also a bad thing.
All environment-friendly things are good.
A worksheet is either paper or environment-friendly. | ∀x (Biodegradable(x) → EnvironmentFriendly(x))
∀x (Woodware(x) → Biodegradable(x))
∀x (Paper(x) → Woodware(x))
¬(∃x (Good(x) ∧ Bad(x)))
∀x (EnvironmentFriendly(x) → Good(x))
Paper(worksheet) ⊕ EnvironmentFriendly(worksheet) | A worksheet is not bad. | ¬Bad(worksheet) | True | 1,405 | forall x (biodegradable(x) implies environmentfriendly(x))
forall x (woodware(x) implies biodegradable(x))
forall x (paper(x) implies woodware(x))
not (exists x (good(x) and bad(x)))
forall x (environmentfriendly(x) implies good(x))
paper(worksheet) xor environmentfriendly(worksheet) | not bad(worksheet) | forall (biodegradable(x) -: environmentfriendly(x))
forall (woodware(x) -: biodegradable(x))
forall (paper(x) -: woodware(x))
not( (good(x) , bad(x)))
forall (environmentfriendly(x) -: good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | notbad(worksheet) | [@every *x [(biodegradable[(?x)] environmentfriendly[(?x)])]
@every *x [(woodware[(?x)] biodegradable[(?x)])]
@every *x [(paper[(?x)] woodware[(?x)])]
~[(*x [(good[(?x)] bad[(?x)])])]
@every *x [(environmentfriendly[(?x)] good[(?x)])]
paper[(worksheet)] environmentfriendly[(worksheet)]] | ~[bad[(worksheet)]] | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bad(worksheet) | -(+B0-+E0)
-(+W0-+B0)
-(+P0-+W0)
-(+(+G1++B1))
-(+E0-+G0)
+P2(+w2)-+E2(+w2)
| -+B2(+w2)
| ∀x (Biodegradable(x) → EnvironmentFriendly(x))
∀x (Woodware(x) → Biodegradable(x))
∀x (Paper(x) → Woodware(x))
¬(∃x (Good(x) ∧ Bad(x)))
∀x (EnvironmentFriendly(x) → Good(x))
Paper(worksheet) ⊕ EnvironmentFriendly(worksheet)¬Bad(worksheet) | disjunctive | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(some:x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bad(worksheet) | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
not(some:x (good(x) & bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | notbad(worksheet) | all:x (biodegradable(x) :- environmentfriendly(x))
all:x (woodware(x) :- biodegradable(x))
all:x (paper(x) :- woodware(x))
~(some:x (good(x) , bad(x)))
all:x (environmentfriendly(x) :- good(x))
paper(worksheet) ^ environmentfriendly(worksheet) | ~bad(worksheet) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
437 | Researchers present their work at the conference or provide a tutorial session there.
Everyone who presents their work at the conference will attend in person.
Everyone providing a tutorial session at the conference will be invited to join the club.
Everyone who attends the conference in person is provided with so... | ∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference))
∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference))
∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club))
∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir))
∀x (InvitedToJoin(x, club) → Provided... | James is either invited to take a photo with the audience or happy to communicate with other guests(?) during the dinner. | InvitedToTakePhotoWith(james, audience) → ∃y ∃z (¬(y=james) ∧ ¬(z=james) ∧ ¬(y=z) ∧ HappyToCommunicateWithDuringTheDinner(james, y) ∧ HappyToCommunicateWithDuringDinner(james, z))) | False | 1,257 | forall x (presentworkat(x, conference) xor provideat(x, tutorialsession, conference))
forall x (presentworkat(x, conference) implies attendinperson(x, conference))
forall x (providesessionat(x, tutorial, conference) implies invitedtojoin(x, club))
forall x (attendinperson(x, conference) implies providedwith(x, souve... | invitedtotakephotowith(james, audience) implies exists y exists z (not (y=james) and not (z=james) and not (y=z) and happytocommunicatewithduringthedinner(james, y) and happytocommunicatewithduringdinner(james, z))) | forall (presentworkat(x, conference) ^ provideat(x, tutorialsession, conference))
forall (presentworkat(x, conference) -: attendinperson(x, conference))
forall (providesessionat(x, tutorial, conference) -: invitedtojoin(x, club))
forall (attendinperson(x, conference) -: providedwith(x, souvenir))
forall (invitedtoj... | invitedtotakephotowith(james, audience) -: (not(y=james) , not(z=james) , not(y=z) , happytocommunicatewithduringthedinner(james, y) , happytocommunicatewithduringdinner(james, z))) | [@every *x [(presentworkat[(?x conference)] provideat[(?x tutorialsession conference)])]
@every *x [(presentworkat[(?x conference)] attendinperson[(?x conference)])]
@every *x [(providesessionat[(?x tutorial conference)] invitedtojoin[(?x club)])]
@every *x [(attendinperson[(?x conference)] providedwith... | [invitedtotakephotowith[(james audience)] *y *z [(~[(?y=james)] ~[(?z=james)] ~[(?y=z)] happytocommunicatewithduringthedinner[(james y)] happytocommunicatewithduringdinner[(james z)])])]] | all:x (presentworkat(x, conference) ^ provideat(x, tutorialsession, conference))
all:x (presentworkat(x, conference) :- attendinperson(x, conference))
all:x (providesessionat(x, tutorial, conference) :- invitedtojoin(x, club))
all:x (attendinperson(x, conference) :- providedwith(x, souvenir))
all:x (invitedtojoin(x... | invitedtotakephotowith(james, audience) :- y z (~(y=james) & ~(z=james) & ~(y=z) & happytocommunicatewithduringthedinner(james, y) & happytocommunicatewithduringdinner(james, z))) | -(+P0-+P0)
-(+P0-+A0)
-(+P0-+I0)
-(+A0-+P0)
-(+I0-+P0)
-(+P0++P0-++(-(+y0)+-(+z0)+-(+y0)++H0++H0))
-(+P0-+I0)
-(+A2++P2)
| +I2-++(-(+y2+j2)+-(+z2+j2)+-(+y2)++H2++H2))
| ∀x (PresentWorkAt(x, conference) ⊕ ProvideAt(x, tutorialSession, conference))
∀x (PresentWorkAt(x, conference) → AttendInPerson(x, conference))
∀x (ProvideSessionAt(x, tutorial, conference) → InvitedToJoin(x, club))
∀x (AttendInPerson(x, conference) → ProvidedWith(x, souvenir))
∀x (InvitedToJoin(x, club) → Provided... | disjunctive | all:x (presentworkat(x, conference) ^ provideat(x, tutorialsession, conference))
all:x (presentworkat(x, conference) :- attendinperson(x, conference))
all:x (providesessionat(x, tutorial, conference) :- invitedtojoin(x, club))
all:x (attendinperson(x, conference) :- providedwith(x, souvenir))
all:x (invitedtojoin(x... | invitedtotakephotowith(james, audience) :- some:y some:z (~(y=james) & ~(z=james) & ~(y=z) & happytocommunicatewithduringthedinner(james, y) & happytocommunicatewithduringdinner(james, z))) | all:x (presentworkat(x, conference) ^ provideat(x, tutorialsession, conference))
all:x (presentworkat(x, conference) :- attendinperson(x, conference))
all:x (providesessionat(x, tutorial, conference) :- invitedtojoin(x, club))
all:x (attendinperson(x, conference) :- providedwith(x, souvenir))
all:x (invitedtojoin(x... | invitedtotakephotowith(james, audience) :- some:y some:z (not(y=james) & not(z=james) & not(y=z) & happytocommunicatewithduringthedinner(james, y) & happytocommunicatewithduringdinner(james, z))) | all:x (presentworkat(x, conference) ^ provideat(x, tutorialsession, conference))
all:x (presentworkat(x, conference) :- attendinperson(x, conference))
all:x (providesessionat(x, tutorial, conference) :- invitedtojoin(x, club))
all:x (attendinperson(x, conference) :- providedwith(x, souvenir))
all:x (invitedtojoin(x... | invitedtotakephotowith(james, audience) :- some:y some:z (~(y=james) , ~(z=james) , ~(y=z) , happytocommunicatewithduringthedinner(james, y) , happytocommunicatewithduringdinner(james, z))) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... |
342 | All sports cars are loud.
No loud cars are electric.
If a car is a Ferrari, then it is a sports car.
All cars made in Maranello are Ferraris.
The Toyota Prius is made in Maranello or is a loud car, or both. | ∀x (SportsCar(x) → LoudCar(x))
∀x (LoudCar(x) → ¬ElectricCar(x))
∀x (Ferrari(x) → SportsCar(x))
∀x ((Car(x) ∧ MadeIn(x, maranello)) → Ferrari(x))
(Car(toyotaPrius) ∧ MadeIn(toyotaPrius, maranello)) ∨ LoudCar(toyotaPrius) | The Toyota Prius is not an electric car. | ¬ElectricCar(toyotaPrius) | True | 901 | forall x (sportscar(x) implies loudcar(x))
forall x (loudcar(x) implies not electriccar(x))
forall x (ferrari(x) implies sportscar(x))
forall x ((car(x) and madein(x, maranello)) implies ferrari(x))
(car(toyotaprius) and madein(toyotaprius, maranello)) or loudcar(toyotaprius) | not electriccar(toyotaprius) | forall (sportscar(x) -: loudcar(x))
forall (loudcar(x) -: notelectriccar(x))
forall (ferrari(x) -: sportscar(x))
forall ((car(x) , madein(x, maranello)) -: ferrari(x))
(car(toyotaprius) , madein(toyotaprius, maranello)) | loudcar(toyotaprius) | notelectriccar(toyotaprius) | [@every *x [(sportscar[(?x)] loudcar[(?x)])]
@every *x [(loudcar[(?x)] ~electriccar[(?x)])]
@every *x [(ferrari[(?x)] sportscar[(?x)])]
@every *x [([(car[(?x)] madein[(?x maranello)])] ferrari[(?x)])]
[(car[(toyotaprius)] madein[(toyotaprius maranello)])] loudcar[(toyotaprius)]] | ~[electriccar[(toyotaprius)]] | all:x (sportscar(x) :- loudcar(x))
all:x (loudcar(x) :- ~electriccar(x))
all:x (ferrari(x) :- sportscar(x))
all:x ((car(x) & madein(x, maranello)) :- ferrari(x))
(car(toyotaprius) & madein(toyotaprius, maranello)) | loudcar(toyotaprius) | ~electriccar(toyotaprius) | -(+S0-+L0)
-(+L0--+E0)
-(+F0-+S0)
-((+C0++M0)-+F0)
(+C2(+t2)++M2)-+L2(+t2)
| -+E2(+t2)
| ∀x (SportsCar(x) → LoudCar(x))
∀x (LoudCar(x) → ¬ElectricCar(x))
∀x (Ferrari(x) → SportsCar(x))
∀x ((Car(x) ∧ MadeIn(x, maranello)) → Ferrari(x))
(Car(toyotaPrius) ∧ MadeIn(toyotaPrius, maranello)) ∨ LoudCar(toyotaPrius)¬ElectricCar(toyotaPrius) | disjunctive | all:x (sportscar(x) :- loudcar(x))
all:x (loudcar(x) :- ~electriccar(x))
all:x (ferrari(x) :- sportscar(x))
all:x ((car(x) & madein(x, maranello)) :- ferrari(x))
(car(toyotaprius) & madein(toyotaprius, maranello)) | loudcar(toyotaprius) | ~electriccar(toyotaprius) | all:x (sportscar(x) :- loudcar(x))
all:x (loudcar(x) :- notelectriccar(x))
all:x (ferrari(x) :- sportscar(x))
all:x ((car(x) & madein(x, maranello)) :- ferrari(x))
(car(toyotaprius) & madein(toyotaprius, maranello)) | loudcar(toyotaprius) | notelectriccar(toyotaprius) | all:x (sportscar(x) :- loudcar(x))
all:x (loudcar(x) :- ~electriccar(x))
all:x (ferrari(x) :- sportscar(x))
all:x ((car(x) , madein(x, maranello)) :- ferrari(x))
(car(toyotaprius) , madein(toyotaprius, maranello)) | loudcar(toyotaprius) | ~electriccar(toyotaprius) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 't'}, {'type': 'LETTER'... |
209 | If someone lives in a place named Galicia, then they live in either Spain or Poland.
Spain is in Europe.
Poland is in Europe.
Rochelle lives in Europe.
Dominique does not live in Europe.
Alfonso lives in a place named Galicia. | ∀x (∃y (LiveIn(x, y) ∧ Place(y) ∧ Named(y, galicia)) → LiveIn(x, spain) ⊕ LiveIn(x, poland))
∀x (LiveIn(x, spain) → LiveIn(x, europe))
∀x (LiveIn(x, poland) → LiveIn(x, europe))
LiveIn(rochelle, europe)
¬LiveIn(dominique, europe)
∃y (LiveIn(alfonso, y) ∧ Place(y) ∧ Named(y, galicia)) | Dominique does not live in Spain. | ∀x (Live(dominique, x) → ¬In(x, spain)) | True | 597 | forall x (exists y (livein(x, y) and place(y) and named(y, galicia)) implies livein(x, spain) xor livein(x, poland))
forall x (livein(x, spain) implies livein(x, europe))
forall x (livein(x, poland) implies livein(x, europe))
livein(rochelle, europe)
not livein(dominique, europe)
exists y (livein(alfonso, y) and p... | forall x (live(dominique, x) implies not in(x, spain)) | forall ( (livein(x, y) , place(y) , named(y, galicia)) -: livein(x, spain) ^ livein(x, poland))
forall (livein(x, spain) -: livein(x, europe))
forall (livein(x, poland) -: livein(x, europe))
livein(rochelle, europe)
notlivein(dominique, europe)
(livein(alfonso, y) , place(y) , named(y, galicia)) | forall (live(dominique, x) -: notin(x, spain)) | [@every *x [(*y [(livein[(?x y)] place[(?y)] named[(?y galicia)])] livein[(?x spain)] livein[(?x poland)])]
@every *x [(livein[(?x spain)] livein[(?x europe)])]
@every *x [(livein[(?x poland)] livein[(?x europe)])]
livein[(rochelle europe)]
~livein[(dominique europe)]
*y [(livein[(alfonso y)] pla... | [@every *x [(live[(dominique x)] ~in[(?x spain)])]] | all:x (y (livein(x, y) & place(y) & named(y, galicia)) :- livein(x, spain) ^ livein(x, poland))
all:x (livein(x, spain) :- livein(x, europe))
all:x (livein(x, poland) :- livein(x, europe))
livein(rochelle, europe)
~livein(dominique, europe)
y (livein(alfonso, y) & place(y) & named(y, galicia)) | all:x (live(dominique, x) :- ~in(x, spain)) | -(+(+L1++P1++N1)-+L1-+L1)
-(+L0-+L0)
-(+L0-+L0)
+L2
-+L2
+(+L1++P1++N1)
| -(+L0--+I0)
| ∀x (∃y (LiveIn(x, y) ∧ Place(y) ∧ Named(y, galicia)) → LiveIn(x, spain) ⊕ LiveIn(x, poland))
∀x (LiveIn(x, spain) → LiveIn(x, europe))
∀x (LiveIn(x, poland) → LiveIn(x, europe))
LiveIn(rochelle, europe)
¬LiveIn(dominique, europe)
∃y (LiveIn(alfonso, y) ∧ Place(y) ∧ Named(y, galicia))∀x (Live(dominique, x) → ¬In(x,... | disjunctive | all:x (some:y (livein(x, y) & place(y) & named(y, galicia)) :- livein(x, spain) ^ livein(x, poland))
all:x (livein(x, spain) :- livein(x, europe))
all:x (livein(x, poland) :- livein(x, europe))
livein(rochelle, europe)
~livein(dominique, europe)
some:y (livein(alfonso, y) & place(y) & named(y, galicia)) | all:x (live(dominique, x) :- ~in(x, spain)) | all:x (some:y (livein(x, y) & place(y) & named(y, galicia)) :- livein(x, spain) ^ livein(x, poland))
all:x (livein(x, spain) :- livein(x, europe))
all:x (livein(x, poland) :- livein(x, europe))
livein(rochelle, europe)
notlivein(dominique, europe)
some:y (livein(alfonso, y) & place(y) & named(y, galicia)) | all:x (live(dominique, x) :- notin(x, spain)) | all:x (some:y (livein(x, y) , place(y) , named(y, galicia)) :- livein(x, spain) ^ livein(x, poland))
all:x (livein(x, spain) :- livein(x, europe))
all:x (livein(x, poland) :- livein(x, europe))
livein(rochelle, europe)
~livein(dominique, europe)
some:y (livein(alfonso, y) , place(y) , named(y, galicia)) | all:x (live(dominique, x) :- ~in(x, spain)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'quantifi... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'quant... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
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. | ∀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) | The fabric bundle is perfect. | Perfect(fabricbundle) | Uncertain | 799 | forall x (clothes(x) implies product(x))
forall x (product(x) implies not perfect(x))
forall x (dress(x) implies clothes(x))
forall x (skirt(x) implies dress(x))
clothes(fabricbundle) implies perfect(fabricbundle) and dress(fabricbundle) | perfect(fabricbundle) | forall (clothes(x) -: product(x))
forall (product(x) -: notperfect(x))
forall (dress(x) -: clothes(x))
forall (skirt(x) -: dress(x))
clothes(fabricbundle) -: perfect(fabricbundle) , dress(fabricbundle) | perfect(fabricbundle) | [@every *x [(clothes[(?x)] product[(?x)])]
@every *x [(product[(?x)] ~perfect[(?x)])]
@every *x [(dress[(?x)] clothes[(?x)])]
@every *x [(skirt[(?x)] dress[(?x)])]
clothes[(fabricbundle)] perfect[(fabricbundle)] dress[(fabricbundle)]] | [perfect[(fabricbundle)]] | all:x (clothes(x) :- product(x))
all:x (product(x) :- ~perfect(x))
all:x (dress(x) :- clothes(x))
all:x (skirt(x) :- dress(x))
clothes(fabricbundle) :- perfect(fabricbundle) & dress(fabricbundle) | perfect(fabricbundle) | -(+C0-+P0)
-(+P0--+P0)
-(+D0-+C0)
-(+S0-+D0)
+C2(+f2)-+P2(+f2)++D2(+f2)
| +P2(+f2)
| ∀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) | complex | all:x (clothes(x) :- product(x))
all:x (product(x) :- ~perfect(x))
all:x (dress(x) :- clothes(x))
all:x (skirt(x) :- dress(x))
clothes(fabricbundle) :- perfect(fabricbundle) & dress(fabricbundle) | perfect(fabricbundle) | all:x (clothes(x) :- product(x))
all:x (product(x) :- notperfect(x))
all:x (dress(x) :- clothes(x))
all:x (skirt(x) :- dress(x))
clothes(fabricbundle) :- perfect(fabricbundle) & dress(fabricbundle) | perfect(fabricbundle) | all:x (clothes(x) :- product(x))
all:x (product(x) :- ~perfect(x))
all:x (dress(x) :- clothes(x))
all:x (skirt(x) :- dress(x))
clothes(fabricbundle) :- perfect(fabricbundle) , dress(fabricbundle) | perfect(fabricbundle) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'type': 'LETTER', 'text': 'e'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... |
216 | Olivia doesn't prefer warm temperatures during the day.
When Olivia sleeps, she prefers a cool temperature.
Olivia sleeps during the night.
Olivia works during the day.
Olivia either works or sleeps.
It is either the day or the night.
Olivia either prefers warm temperatures or prefers cool temperatures. | ∀x (Day(x) → ¬Prefer(olivia, warmTemperature, x))
∀x (Sleep(olivia, x) → Prefer(olivia, coolTemperature, x))
∀x (Night(x) → Sleep(olivia, x))
∀x (Day(x) → Work(olivia, x))
Work(olivia) ⊕ Sleep(olivia)
∀x (Day(x) ⊕ Night(x))
∀x (Prefer(olivia, warmTemperature, x) ⊕ Prefer(olivia, coolTemperature, x)) | At all times, Olivia prefers a cool temperature. | ∀x (Prefer(olivia, coolTemperature, x)) | True | 617 | forall x (day(x) implies not prefer(olivia, warmtemperature, x))
forall x (sleep(olivia, x) implies prefer(olivia, cooltemperature, x))
forall x (night(x) implies sleep(olivia, x))
forall x (day(x) implies work(olivia, x))
work(olivia) xor sleep(olivia)
forall x (day(x) xor night(x))
forall x (prefer(olivia, warm... | forall x (prefer(olivia, cooltemperature, x)) | forall (day(x) -: notprefer(olivia, warmtemperature, x))
forall (sleep(olivia, x) -: prefer(olivia, cooltemperature, x))
forall (night(x) -: sleep(olivia, x))
forall (day(x) -: work(olivia, x))
work(olivia) ^ sleep(olivia)
forall (day(x) ^ night(x))
forall (prefer(olivia, warmtemperature, x) ^ prefer(olivia, cool... | forall (prefer(olivia, cooltemperature, x)) | [@every *x [(day[(?x)] ~prefer[(olivia warmtemperature x)])]
@every *x [(sleep[(olivia x)] prefer[(olivia cooltemperature x)])]
@every *x [(night[(?x)] sleep[(olivia x)])]
@every *x [(day[(?x)] work[(olivia x)])]
work[(olivia)] sleep[(olivia)]
@every *x [(day[(?x)] night[(?x)])]
@every *x [(prefer[(o... | [@every *x [(prefer[(olivia cooltemperature x)])]] | all:x (day(x) :- ~prefer(olivia, warmtemperature, x))
all:x (sleep(olivia, x) :- prefer(olivia, cooltemperature, x))
all:x (night(x) :- sleep(olivia, x))
all:x (day(x) :- work(olivia, x))
work(olivia) ^ sleep(olivia)
all:x (day(x) ^ night(x))
all:x (prefer(olivia, warmtemperature, x) ^ prefer(olivia, cooltemperat... | all:x (prefer(olivia, cooltemperature, x)) | -(+D0--+P0)
-(+S0-+P0)
-(+N0-+S0)
-(+D0-+W0)
+W2(+o2)-+S2(+o2)
-(+D0-+N0)
-(+P0-+P0)
| -(+P0)
| ∀x (Day(x) → ¬Prefer(olivia, warmTemperature, x))
∀x (Sleep(olivia, x) → Prefer(olivia, coolTemperature, x))
∀x (Night(x) → Sleep(olivia, x))
∀x (Day(x) → Work(olivia, x))
Work(olivia) ⊕ Sleep(olivia)
∀x (Day(x) ⊕ Night(x))
∀x (Prefer(olivia, warmTemperature, x) ⊕ Prefer(olivia, coolTemperature, x))∀x (Prefer(oli... | disjunctive | all:x (day(x) :- ~prefer(olivia, warmtemperature, x))
all:x (sleep(olivia, x) :- prefer(olivia, cooltemperature, x))
all:x (night(x) :- sleep(olivia, x))
all:x (day(x) :- work(olivia, x))
work(olivia) ^ sleep(olivia)
all:x (day(x) ^ night(x))
all:x (prefer(olivia, warmtemperature, x) ^ prefer(olivia, cooltemperat... | all:x (prefer(olivia, cooltemperature, x)) | all:x (day(x) :- notprefer(olivia, warmtemperature, x))
all:x (sleep(olivia, x) :- prefer(olivia, cooltemperature, x))
all:x (night(x) :- sleep(olivia, x))
all:x (day(x) :- work(olivia, x))
work(olivia) ^ sleep(olivia)
all:x (day(x) ^ night(x))
all:x (prefer(olivia, warmtemperature, x) ^ prefer(olivia, cooltemper... | all:x (prefer(olivia, cooltemperature, x)) | all:x (day(x) :- ~prefer(olivia, warmtemperature, x))
all:x (sleep(olivia, x) :- prefer(olivia, cooltemperature, x))
all:x (night(x) :- sleep(olivia, x))
all:x (day(x) :- work(olivia, x))
work(olivia) ^ sleep(olivia)
all:x (day(x) ^ night(x))
all:x (prefer(olivia, warmtemperature, x) ^ prefer(olivia, cooltemperat... | all:x (prefer(olivia, cooltemperature, x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
41 | Federico Garcia Lorca was a talented Spanish poet, and he supported the Popular Front.
The Spanish Nationalists opposed anyone who supported the Popular Front
Talented poets are popular.
Spanish Nationalists killed anyone who they opposed and who was popular.
Daniel supported the Popular Front but was not popular. | TalentedPoet(lorca) ∧ Support(lorca, populists)
∀x (Support(x, populists) → Opposed(nationalists, x))
∀x (TalentedPoet(x) → Popular(x))
∀x ((Opposed(nationalists, x) ∧ Popular(x)) → Killed(nationalists, x))
Support(daniel, populists) ∧ (¬Popular(daniel)) | The Spanish Nationalists killed Lorca. | Killed(nationalists, lorca) | True | 119 | talentedpoet(lorca) and support(lorca, populists)
forall x (support(x, populists) implies opposed(nationalists, x))
forall x (talentedpoet(x) implies popular(x))
forall x ((opposed(nationalists, x) and popular(x)) implies killed(nationalists, x))
support(daniel, populists) and (not popular(daniel)) | killed(nationalists, lorca) | talentedpoet(lorca) , support(lorca, populists)
forall (support(x, populists) -: opposed(nationalists, x))
forall (talentedpoet(x) -: popular(x))
forall ((opposed(nationalists, x) , popular(x)) -: killed(nationalists, x))
support(daniel, populists) , (notpopular(daniel)) | killed(nationalists, lorca) | [talentedpoet[(lorca)] support[(lorca populists)]
@every *x [(support[(?x populists)] opposed[(nationalists x)])]
@every *x [(talentedpoet[(?x)] popular[(?x)])]
@every *x [([(opposed[(nationalists x)] popular[(?x)])] killed[(nationalists x)])]
support[(daniel populists)] [(~popular[(daniel)])]] | [killed[(nationalists lorca)]] | talentedpoet(lorca) & support(lorca, populists)
all:x (support(x, populists) :- opposed(nationalists, x))
all:x (talentedpoet(x) :- popular(x))
all:x ((opposed(nationalists, x) & popular(x)) :- killed(nationalists, x))
support(daniel, populists) & (~popular(daniel)) | killed(nationalists, lorca) | +T2(+l2)++S2
-(+S0-+O0)
-(+T0-+P0)
-((+O0++P0)-+K0)
+S2+(-+P2(+d2))
| +K2
| TalentedPoet(lorca) ∧ Support(lorca, populists)
∀x (Support(x, populists) → Opposed(nationalists, x))
∀x (TalentedPoet(x) → Popular(x))
∀x ((Opposed(nationalists, x) ∧ Popular(x)) → Killed(nationalists, x))
Support(daniel, populists) ∧ (¬Popular(daniel))Killed(nationalists, lorca) | complex | talentedpoet(lorca) & support(lorca, populists)
all:x (support(x, populists) :- opposed(nationalists, x))
all:x (talentedpoet(x) :- popular(x))
all:x ((opposed(nationalists, x) & popular(x)) :- killed(nationalists, x))
support(daniel, populists) & (~popular(daniel)) | killed(nationalists, lorca) | talentedpoet(lorca) & support(lorca, populists)
all:x (support(x, populists) :- opposed(nationalists, x))
all:x (talentedpoet(x) :- popular(x))
all:x ((opposed(nationalists, x) & popular(x)) :- killed(nationalists, x))
support(daniel, populists) & (notpopular(daniel)) | killed(nationalists, lorca) | talentedpoet(lorca) , support(lorca, populists)
all:x (support(x, populists) :- opposed(nationalists, x))
all:x (talentedpoet(x) :- popular(x))
all:x ((opposed(nationalists, x) , popular(x)) :- killed(nationalists, x))
support(daniel, populists) , (~popular(daniel)) | killed(nationalists, lorca) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'T'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'K'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'k'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'l'}, {'type': 'LETTER'... |
89 | Bobby Flynn is a singer-songwriter.
Bobby Flynn finished 7th while competing on Australian Idol.
Australian Idol competitors are Australian citizens.
The Omega Three band made a nationwide tour in 2007.
Bobby Flynn is a member of The Omega Three band.
Bobby Flynn was born in Queensland. | Singer(bobbyFlynn) ∧ SongWriter(bobbyFlynn)
FinishesIn(bobbyFlynn, number7) ∧ CompetesOnAustralianIdol(bobbyFlynn)
∀x (CompetesOnAustralianIdol(x) → AustralianCitizen(x))
NationWideTourIn(theOmegaThreeBand, year2007)
Member(bobbyFlynn, theOmegaThreeBand)
BornIn(bobbyFlynn, queensland) | Bobby Flynn was born in Queens. | BornIn(bobbyFlynn, queens) | Uncertain | 272 | singer(bobbyflynn) and songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) and competesonaustralianidol(bobbyflynn)
forall x (competesonaustralianidol(x) implies australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | singer(bobbyflynn) , songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) , competesonaustralianidol(bobbyflynn)
forall (competesonaustralianidol(x) -: australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | [singer[(bobbyflynn)] songwriter[(bobbyflynn)]
finishesin[(bobbyflynn number7)] competesonaustralianidol[(bobbyflynn)]
@every *x [(competesonaustralianidol[(?x)] australiancitizen[(?x)])]
nationwidetourin[(theomegathreeband year2007)]
member[(bobbyflynn theomegathreeband)]
bornin[(bobbyflynn queensland)]] | [bornin[(bobbyflynn queens)]] | singer(bobbyflynn) & songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) & competesonaustralianidol(bobbyflynn)
all:x (competesonaustralianidol(x) :- australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | +S2(+b2)++S2(+b2)
+F2++C2(+b2)
-(+C0-+A0)
+N2
+M2
+B2
| +B2
| Singer(bobbyFlynn) ∧ SongWriter(bobbyFlynn)
FinishesIn(bobbyFlynn, number7) ∧ CompetesOnAustralianIdol(bobbyFlynn)
∀x (CompetesOnAustralianIdol(x) → AustralianCitizen(x))
NationWideTourIn(theOmegaThreeBand, year2007)
Member(bobbyFlynn, theOmegaThreeBand)
BornIn(bobbyFlynn, queensland)BornIn(bobbyFlynn, queens) | complex | singer(bobbyflynn) & songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) & competesonaustralianidol(bobbyflynn)
all:x (competesonaustralianidol(x) :- australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | singer(bobbyflynn) & songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) & competesonaustralianidol(bobbyflynn)
all:x (competesonaustralianidol(x) :- australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | singer(bobbyflynn) , songwriter(bobbyflynn)
finishesin(bobbyflynn, number7) , competesonaustralianidol(bobbyflynn)
all:x (competesonaustralianidol(x) :- australiancitizen(x))
nationwidetourin(theomegathreeband, year2007)
member(bobbyflynn, theomegathreeband)
bornin(bobbyflynn, queensland) | bornin(bobbyflynn, queens) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'S'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'B'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 's'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'b'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 'r'}, {'type': 'LETTER'... |
147 | Vic DiCara plays guitar and bass.
The only style of music Vic DiCara plays is punk music.
Vic DiCara played in the band Inside Out. | Play(vicDicara, guitar) ∧ Play(vicDicara, bass)
∀x (Music(vicDicara, x) → ¬(x=punk)))
Band(vicDicara, insideOut) | Inside Out was a punk band. | Music(insideOut, punk) | Uncertain | 430 | play(vicdicara, guitar) and play(vicdicara, bass)
forall x (music(vicdicara, x) implies not (x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | play(vicdicara, guitar) , play(vicdicara, bass)
forall (music(vicdicara, x) -: not(x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | [play[(vicdicara guitar)] play[(vicdicara bass)]
@every *x [(music[(vicdicara x)] ~[(?x=punk)])])]
band[(vicdicara insideout)]] | [music[(insideout punk)]] | play(vicdicara, guitar) & play(vicdicara, bass)
all:x (music(vicdicara, x) :- ~(x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | +P2++P2
-(+M0--(+x0+p0)))
+B2
| +M2
| Play(vicDicara, guitar) ∧ Play(vicDicara, bass)
∀x (Music(vicDicara, x) → ¬(x=punk)))
Band(vicDicara, insideOut)Music(insideOut, punk) | hypothetical | play(vicdicara, guitar) & play(vicdicara, bass)
all:x (music(vicdicara, x) :- ~(x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | play(vicdicara, guitar) & play(vicdicara, bass)
all:x (music(vicdicara, x) :- not(x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | play(vicdicara, guitar) , play(vicdicara, bass)
all:x (music(vicdicara, x) :- ~(x=punk)))
band(vicdicara, insideout) | music(insideout, punk) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'M'}, {'type': 'LETTER', 'text': 'u'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'p'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'm'}, {'type': 'LETTER', 'text': 'u'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... |
408 | No trick-shot artist in Yale's varsity team struggles with half court shots.
Everyone on Yale's varsity team is someone who struggles with half court shots or who successfully shoots a high percentage of 3-pointers.
Everyone on Yale's varsity team who successfully shoots a high percentage of 3-pointers is solid at ... | ∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot))
∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes)))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot))
In(jack... | If Jack is not solid at shooting 2-pointers and bad at mid-range shots, then Jack is not solid at shooting 2-pointers and is a player who successfully shoots a high percentage of 3-pointers. | BadAt(jack, midRangeShot) ∧ GoodAt(jack, twos) → ¬GoodAt(jack, twos) ∧ GoodAt(jack, threes) | False | 1,140 | forall x ((in(x, yalesvarsityteam) and trickshotartist(x)) implies not struggleat(x, halfcourtshot))
forall x (in(x, yalesvarsityteam) implies (struggleat(x, halfcourtshot) or goodat(x, threes)))
forall x ((in(x, yalesvarsityteam) and goodat(x, threes)) implies goodat(x, twos))
forall x ((in(x, yalesvarsityteam) and... | badat(jack, midrangeshot) and goodat(jack, twos) implies not goodat(jack, twos) and goodat(jack, threes) | forall ((in(x, yalesvarsityteam) , trickshotartist(x)) -: notstruggleat(x, halfcourtshot))
forall (in(x, yalesvarsityteam) -: (struggleat(x, halfcourtshot) | goodat(x, threes)))
forall ((in(x, yalesvarsityteam) , goodat(x, threes)) -: goodat(x, twos))
forall ((in(x, yalesvarsityteam) , goodat(x, twos)) -: badat(x, m... | badat(jack, midrangeshot) , goodat(jack, twos) -: notgoodat(jack, twos) , goodat(jack, threes) | [@every *x [([(in[(?x yalesvarsityteam)] trickshotartist[(?x)])] ~struggleat[(?x halfcourtshot)])]
@every *x [(in[(?x yalesvarsityteam)] [(struggleat[(?x halfcourtshot)] goodat[(?x threes)])])]
@every *x [([(in[(?x yalesvarsityteam)] goodat[(?x threes)])] goodat[(?x twos)])]
@every *x [([(in[(?x yales... | [badat[(jack midrangeshot)] goodat[(jack twos)] ~goodat[(jack twos)] goodat[(jack threes)]] | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midrang... | badat(jack, midrangeshot) & goodat(jack, twos) :- ~goodat(jack, twos) & goodat(jack, threes) | -((+I0++T0)--+S0)
-(+I0-(+S0-+G0))
-((+I0++G0)-+G0)
-((+I0++G0)-+B0)
+I2+(+T2(+j2)-+G2)
| +B2++G2--+G2++G2
| ∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot))
∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes)))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos))
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot))
In(jack... | disjunctive | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midrang... | badat(jack, midrangeshot) & goodat(jack, twos) :- ~goodat(jack, twos) & goodat(jack, threes) | all:x ((in(x, yalesvarsityteam) & trickshotartist(x)) :- notstruggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) & goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) & goodat(x, twos)) :- badat(x, midra... | badat(jack, midrangeshot) & goodat(jack, twos) :- notgoodat(jack, twos) & goodat(jack, threes) | all:x ((in(x, yalesvarsityteam) , trickshotartist(x)) :- ~struggleat(x, halfcourtshot))
all:x (in(x, yalesvarsityteam) :- (struggleat(x, halfcourtshot) | goodat(x, threes)))
all:x ((in(x, yalesvarsityteam) , goodat(x, threes)) :- goodat(x, twos))
all:x ((in(x, yalesvarsityteam) , goodat(x, twos)) :- badat(x, midrang... | badat(jack, midrangeshot) , goodat(jack, twos) :- ~goodat(jack, twos) , goodat(jack, threes) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... |
235 | Westworld is an American science fiction-thriller TV series.
In 2016, a television series named Westworld debuted on HBO.
The TV series Westworld is adapted from the original film in 1973, which was written and directed by Michael Crichton.
The 1973 film Westworld is about robots that malfunction and begin killing h... | American(westworld) ∧ ScienceFictionThriller(westworld)
Debut(westworld, year2016) ∧ TvSeries(westworld)
Adapted(westworld, westworldTheFilm) ∧ Produce(westworldTheFilm, year1973) ∧ Wrote(michael, westworldTheFilm) ∧ Directed(michael, westworldTheFilm)
Film(westworldTheFilm) ∧ About(westworldTheFilm, malfunctioningR... | Michael Crichton has directed a film about malfunctioning robots. | ∃x (Film(x) ∧ Directed(michael, x) ∧ About(x, malfunctioningRobots)) | True | 666 | american(westworld) and sciencefictionthriller(westworld)
debut(westworld, year2016) and tvseries(westworld)
adapted(westworld, westworldthefilm) and produce(westworldthefilm, year1973) and wrote(michael, westworldthefilm) and directed(michael, westworldthefilm)
film(westworldthefilm) and about(westworldthefilm, mal... | exists x (film(x) and directed(michael, x) and about(x, malfunctioningrobots)) | american(westworld) , sciencefictionthriller(westworld)
debut(westworld, year2016) , tvseries(westworld)
adapted(westworld, westworldthefilm) , produce(westworldthefilm, year1973) , wrote(michael, westworldthefilm) , directed(michael, westworldthefilm)
film(westworldthefilm) , about(westworldthefilm, malfunctioningr... | (film(x) , directed(michael, x) , about(x, malfunctioningrobots)) | [american[(westworld)] sciencefictionthriller[(westworld)]
debut[(westworld year2016)] tvseries[(westworld)]
adapted[(westworld westworldthefilm)] produce[(westworldthefilm year1973)] wrote[(michael westworldthefilm)] directed[(michael westworldthefilm)]
film[(westworldthefilm)] about[(westworldthefilm m... | [*x [(film[(?x)] directed[(michael x)] about[(?x malfunctioningrobots)])]] | american(westworld) & sciencefictionthriller(westworld)
debut(westworld, year2016) & tvseries(westworld)
adapted(westworld, westworldthefilm) & produce(westworldthefilm, year1973) & wrote(michael, westworldthefilm) & directed(michael, westworldthefilm)
film(westworldthefilm) & about(westworldthefilm, malfunctioningr... | x (film(x) & directed(michael, x) & about(x, malfunctioningrobots)) | +A2(+w2)++S2(+w2)
+D2++T2(+w2)
+A2++P2++W2++D2
+F2(+w2)++A2
| +(+F1++D1++A1)
| American(westworld) ∧ ScienceFictionThriller(westworld)
Debut(westworld, year2016) ∧ TvSeries(westworld)
Adapted(westworld, westworldTheFilm) ∧ Produce(westworldTheFilm, year1973) ∧ Wrote(michael, westworldTheFilm) ∧ Directed(michael, westworldTheFilm)
Film(westworldTheFilm) ∧ About(westworldTheFilm, malfunctioningR... | complex | american(westworld) & sciencefictionthriller(westworld)
debut(westworld, year2016) & tvseries(westworld)
adapted(westworld, westworldthefilm) & produce(westworldthefilm, year1973) & wrote(michael, westworldthefilm) & directed(michael, westworldthefilm)
film(westworldthefilm) & about(westworldthefilm, malfunctioningr... | some:x (film(x) & directed(michael, x) & about(x, malfunctioningrobots)) | american(westworld) & sciencefictionthriller(westworld)
debut(westworld, year2016) & tvseries(westworld)
adapted(westworld, westworldthefilm) & produce(westworldthefilm, year1973) & wrote(michael, westworldthefilm) & directed(michael, westworldthefilm)
film(westworldthefilm) & about(westworldthefilm, malfunctioningr... | some:x (film(x) & directed(michael, x) & about(x, malfunctioningrobots)) | american(westworld) , sciencefictionthriller(westworld)
debut(westworld, year2016) , tvseries(westworld)
adapted(westworld, westworldthefilm) , produce(westworldthefilm, year1973) , wrote(michael, westworldthefilm) , directed(michael, westworldthefilm)
film(westworldthefilm) , about(westworldthefilm, malfunctioningr... | some:x (film(x) , directed(michael, x) , about(x, malfunctioningrobots)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'A'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'a'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
70 | Michael O'Donnell is a British physician, journalist, author, and broadcaster.
One of the word-setters of My Word! was Michael O'Donnell.
The magazine World Medicine was edited by Michael O'Donnell.
Michael O'Donnell was born in Yorkshire as the son of a general practitioner. | British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)
WordSetter(michael)
Magazine(worldMedicine) ∧ EditedBy(worldMedicine, michael)
BornIn(michael, yorkshire) ∧ ∃x(SonOf(michael, x) ∧ GeneralPractitioner(x)) | There are no journalists that were born in Yorkshire. | ∀x (Journalist(x) → ¬BornIn(x, yorkshire)) | False | 211 | british(michael) and physician(michael) and journalist(michael) and author(michael) and broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) and editedby(worldmedicine, michael)
bornin(michael, yorkshire) and exists x(sonof(michael, x) and generalpractitioner(x)) | forall x (journalist(x) implies not bornin(x, yorkshire)) | british(michael) , physician(michael) , journalist(michael) , author(michael) , broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) , editedby(worldmedicine, michael)
bornin(michael, yorkshire) , (sonof(michael, x) , generalpractitioner(x)) | forall (journalist(x) -: notbornin(x, yorkshire)) | [british[(michael)] physician[(michael)] journalist[(michael)] author[(michael)] broadcaster[(michael)]
wordsetter[(michael)]
magazine[(worldmedicine)] editedby[(worldmedicine michael)]
bornin[(michael yorkshire)] *x[(sonof[(michael x)] generalpractitioner[(?x)])]] | [@every *x [(journalist[(?x)] ~bornin[(?x yorkshire)])]] | british(michael) & physician(michael) & journalist(michael) & author(michael) & broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) & editedby(worldmedicine, michael)
bornin(michael, yorkshire) & x(sonof(michael, x) & generalpractitioner(x)) | all:x (journalist(x) :- ~bornin(x, yorkshire)) | +B2(+m2)++P2(+m2)++J2(+m2)++A2(+m2)++B2(+m2)
+W2(+m2)
+M2(+w2)++E2
+B2++(+S1++G1)
| -(+J0--+B0)
| British(michael) ∧ Physician(michael) ∧ Journalist(michael) ∧ Author(michael) ∧ Broadcaster(michael)
WordSetter(michael)
Magazine(worldMedicine) ∧ EditedBy(worldMedicine, michael)
BornIn(michael, yorkshire) ∧ ∃x(SonOf(michael, x) ∧ GeneralPractitioner(x))∀x (Journalist(x) → ¬BornIn(x, yorkshire)) | complex | british(michael) & physician(michael) & journalist(michael) & author(michael) & broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) & editedby(worldmedicine, michael)
bornin(michael, yorkshire) & some:x(sonof(michael, x) & generalpractitioner(x)) | all:x (journalist(x) :- ~bornin(x, yorkshire)) | british(michael) & physician(michael) & journalist(michael) & author(michael) & broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) & editedby(worldmedicine, michael)
bornin(michael, yorkshire) & some:x(sonof(michael, x) & generalpractitioner(x)) | all:x (journalist(x) :- notbornin(x, yorkshire)) | british(michael) , physician(michael) , journalist(michael) , author(michael) , broadcaster(michael)
wordsetter(michael)
magazine(worldmedicine) , editedby(worldmedicine, michael)
bornin(michael, yorkshire) , some:x(sonof(michael, x) , generalpractitioner(x)) | all:x (journalist(x) :- ~bornin(x, yorkshire)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
90 | Koei Tecmo is a Japanese video game and anime holding company.
Holding companies hold several companies.
Tecmo was disbanded in Japan, while Koei survived but was renamed.
Video game holding companies are holding companies. | Japanese(koeitecmo) ∧ VideoGameHoldingCompany(koeitecmo) ∧ AnimeHoldingCompany(koeitecmo) ∧ HoldingCompany(x)
∀x (HoldingCompany(x) → ∃y(Company(y) ∧ Holds(x, y)))
DisbandsIn(tecmo, japan) ∧ Survives(koei) ∧ Renames(koei)
∀x (VideoGameHoldingCompany(x) → HoldingCompany(x)) | Koei Tecmo holds anime. | AnimeHoldingCompany(koeitecmo) | Uncertain | 275 | japanese(koeitecmo) and videogameholdingcompany(koeitecmo) and animeholdingcompany(koeitecmo) and holdingcompany(x)
forall x (holdingcompany(x) implies exists y(company(y) and holds(x, y)))
disbandsin(tecmo, japan) and survives(koei) and renames(koei)
forall x (videogameholdingcompany(x) implies holdingcompany(x)) | animeholdingcompany(koeitecmo) | japanese(koeitecmo) , videogameholdingcompany(koeitecmo) , animeholdingcompany(koeitecmo) , holdingcompany(x)
forall (holdingcompany(x) -: (company(y) , holds(x, y)))
disbandsin(tecmo, japan) , survives(koei) , renames(koei)
forall (videogameholdingcompany(x) -: holdingcompany(x)) | animeholdingcompany(koeitecmo) | [japanese[(koeitecmo)] videogameholdingcompany[(koeitecmo)] animeholdingcompany[(koeitecmo)] holdingcompany[(x)]
@every *x [(holdingcompany[(?x)] *y[(company[(?y)] holds[(?x y)])])]
disbandsin[(tecmo japan)] survives[(koei)] renames[(koei)]
@every *x [(videogameholdingcompany[(?x)] holdingcompany[(?x)])]] | [animeholdingcompany[(koeitecmo)]] | japanese(koeitecmo) & videogameholdingcompany(koeitecmo) & animeholdingcompany(koeitecmo) & holdingcompany(x)
all:x (holdingcompany(x) :- y(company(y) & holds(x, y)))
disbandsin(tecmo, japan) & survives(koei) & renames(koei)
all:x (videogameholdingcompany(x) :- holdingcompany(x)) | animeholdingcompany(koeitecmo) | +J2(+k2)++V2(+k2)++A2(+k2)++H2
-(+H0-+(+C1++H1))
+D2++S2(+k2)++R2(+k2)
-(+V0-+H0)
| +A2(+k2)
| Japanese(koeitecmo) ∧ VideoGameHoldingCompany(koeitecmo) ∧ AnimeHoldingCompany(koeitecmo) ∧ HoldingCompany(x)
∀x (HoldingCompany(x) → ∃y(Company(y) ∧ Holds(x, y)))
DisbandsIn(tecmo, japan) ∧ Survives(koei) ∧ Renames(koei)
∀x (VideoGameHoldingCompany(x) → HoldingCompany(x))AnimeHoldingCompany(koeitecmo) | complex | japanese(koeitecmo) & videogameholdingcompany(koeitecmo) & animeholdingcompany(koeitecmo) & holdingcompany(x)
all:x (holdingcompany(x) :- some:y(company(y) & holds(x, y)))
disbandsin(tecmo, japan) & survives(koei) & renames(koei)
all:x (videogameholdingcompany(x) :- holdingcompany(x)) | animeholdingcompany(koeitecmo) | japanese(koeitecmo) & videogameholdingcompany(koeitecmo) & animeholdingcompany(koeitecmo) & holdingcompany(x)
all:x (holdingcompany(x) :- some:y(company(y) & holds(x, y)))
disbandsin(tecmo, japan) & survives(koei) & renames(koei)
all:x (videogameholdingcompany(x) :- holdingcompany(x)) | animeholdingcompany(koeitecmo) | japanese(koeitecmo) , videogameholdingcompany(koeitecmo) , animeholdingcompany(koeitecmo) , holdingcompany(x)
all:x (holdingcompany(x) :- some:y(company(y) , holds(x, y)))
disbandsin(tecmo, japan) , survives(koei) , renames(koei)
all:x (videogameholdingcompany(x) :- holdingcompany(x)) | animeholdingcompany(koeitecmo) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'A'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER'... |
367 | All people who went to Clay's school and who make their own matcha teas every morning with ceremonial-grade matcha powder do not wake up late and start their schedules past noon regularly.
All people who went to Clay's school, who live in California, and attend yoga classes regularly, make their own matcha teas every ... | ∀x (GoTo(x, claysSchool) ∧ MakeWith(x, theirOwnMatchTea, ceremonialGradePowder) → ¬(WakeUpLate(x) ∧ StartPastNoonRegularly(x, schedule)))
∀x (GoTo(x, claysSchool) ∧ LiveIn(x, california) ∧ AttendRegularly(x, yogaClass) → MakeWith(x, ownMatch, ceremonialGradePowder))
∀x (GoTo(x, claysSchool) ∧ WorkInAs(x, entertainmen... | Bunny went to Clay's school and she neither prefers working at home over going to the office nor lives in California and attends yoga classes regularly. | ¬(Prefer(bunny, workingAtHome, goingToTheOffice) ∨ (LiveIn(bunny, california) ∧ AttendRegularly(bunny, yogaClass))) | True | 978 | forall x (goto(x, claysschool) and makewith(x, theirownmatchtea, ceremonialgradepowder) implies not (wakeuplate(x) and startpastnoonregularly(x, schedule)))
forall x (goto(x, claysschool) and livein(x, california) and attendregularly(x, yogaclass) implies makewith(x, ownmatch, ceremonialgradepowder))
forall x (goto(x... | not (prefer(bunny, workingathome, goingtotheoffice) or (livein(bunny, california) and attendregularly(bunny, yogaclass))) | forall (goto(x, claysschool) , makewith(x, theirownmatchtea, ceremonialgradepowder) -: not(wakeuplate(x) , startpastnoonregularly(x, schedule)))
forall (goto(x, claysschool) , livein(x, california) , attendregularly(x, yogaclass) -: makewith(x, ownmatch, ceremonialgradepowder))
forall (goto(x, claysschool) , workinas... | not(prefer(bunny, workingathome, goingtotheoffice) | (livein(bunny, california) , attendregularly(bunny, yogaclass))) | [@every *x [(goto[(?x claysschool)] makewith[(?x theirownmatchtea ceremonialgradepowder)] ~[(wakeuplate[(?x)] startpastnoonregularly[(?x schedule)])])]
@every *x [(goto[(?x claysschool)] livein[(?x california)] attendregularly[(?x yogaclass)] makewith[(?x ownmatch ceremonialgradepowder)])]
@every *x [(... | ~[[(prefer[(bunny workingathome goingtotheoffice)] [(livein[(bunny california)] attendregularly[(bunny yogaclass)])])]] | all:x (goto(x, claysschool) & makewith(x, theirownmatchtea, ceremonialgradepowder) :- ~(wakeuplate(x) & startpastnoonregularly(x, schedule)))
all:x (goto(x, claysschool) & livein(x, california) & attendregularly(x, yogaclass) :- makewith(x, ownmatch, ceremonialgradepowder))
all:x (goto(x, claysschool) & workinas(x, e... | ~(prefer(bunny, workingathome, goingtotheoffice) | (livein(bunny, california) & attendregularly(bunny, yogaclass))) | -(+G0++M0--(+W0++S0))
-(+G0++L0++A0-+M0)
-(+G0++W0-(+W0++S0))
-(+G0+-(+H0++R0++N0)-+W0)
-(+G0++P0--(+H0++R0++N0))
+G2+-(+P2-+M2)
| -(+P2-(+L2++A2))
| ∀x (GoTo(x, claysSchool) ∧ MakeWith(x, theirOwnMatchTea, ceremonialGradePowder) → ¬(WakeUpLate(x) ∧ StartPastNoonRegularly(x, schedule)))
∀x (GoTo(x, claysSchool) ∧ LiveIn(x, california) ∧ AttendRegularly(x, yogaClass) → MakeWith(x, ownMatch, ceremonialGradePowder))
∀x (GoTo(x, claysSchool) ∧ WorkInAs(x, entertainmen... | disjunctive | all:x (goto(x, claysschool) & makewith(x, theirownmatchtea, ceremonialgradepowder) :- ~(wakeuplate(x) & startpastnoonregularly(x, schedule)))
all:x (goto(x, claysschool) & livein(x, california) & attendregularly(x, yogaclass) :- makewith(x, ownmatch, ceremonialgradepowder))
all:x (goto(x, claysschool) & workinas(x, e... | ~(prefer(bunny, workingathome, goingtotheoffice) | (livein(bunny, california) & attendregularly(bunny, yogaclass))) | all:x (goto(x, claysschool) & makewith(x, theirownmatchtea, ceremonialgradepowder) :- not(wakeuplate(x) & startpastnoonregularly(x, schedule)))
all:x (goto(x, claysschool) & livein(x, california) & attendregularly(x, yogaclass) :- makewith(x, ownmatch, ceremonialgradepowder))
all:x (goto(x, claysschool) & workinas(x,... | not(prefer(bunny, workingathome, goingtotheoffice) | (livein(bunny, california) & attendregularly(bunny, yogaclass))) | all:x (goto(x, claysschool) , makewith(x, theirownmatchtea, ceremonialgradepowder) :- ~(wakeuplate(x) , startpastnoonregularly(x, schedule)))
all:x (goto(x, claysschool) , livein(x, california) , attendregularly(x, yogaclass) :- makewith(x, ownmatch, ceremonialgradepowder))
all:x (goto(x, claysschool) , workinas(x, e... | ~(prefer(bunny, workingathome, goingtotheoffice) | (livein(bunny, california) , attendregularly(bunny, yogaclass))) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'atomicproposition', 'childre... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children':... |
374 |
All functions that represent straight lines on the coordinate plane are linear functions.
No linear functions are non-convex functions.
A function is either a non-convex fuction or a convex function.
All quasi-convex functions are real-valued functions.
All convex functions are quasi-convex functions.
The maxi... | ∀x (Function(x) ∧ RepresentOn(x, straightLine, coordinatePlane) → LinearFunction(x))
∀x (LinearFunction(x) → ¬NonConvexFunction(x))
∀x (Function(x) → NonConvexFunction(x) ⊕ ConvexFunction(x))
∀x (QuasiConvexFunction(x) → RealValuedFunction(x))
∀x (ConvexFunction(x) → QuasiConvexFunction(x))
Function(maximumOfQuasi... | The maximum of quasiconvex functions is a function that represent straight lines on the coordinate plane. | Function(maximumOfQuasiConvexFunction) ∧ RepresentOn(maximumOfQuasiConvexFunction, straightLine, coordinatePlane) | Uncertain | 996 | forall x (function(x) and representon(x, straightline, coordinateplane) implies linearfunction(x))
forall x (linearfunction(x) implies not nonconvexfunction(x))
forall x (function(x) implies nonconvexfunction(x) xor convexfunction(x))
forall x (quasiconvexfunction(x) implies realvaluedfunction(x))
forall x (convexf... | function(maximumofquasiconvexfunction) and representon(maximumofquasiconvexfunction, straightline, coordinateplane) | forall (function(x) , representon(x, straightline, coordinateplane) -: linearfunction(x))
forall (linearfunction(x) -: notnonconvexfunction(x))
forall (function(x) -: nonconvexfunction(x) ^ convexfunction(x))
forall (quasiconvexfunction(x) -: realvaluedfunction(x))
forall (convexfunction(x) -: quasiconvexfunction(x... | function(maximumofquasiconvexfunction) , representon(maximumofquasiconvexfunction, straightline, coordinateplane) | [@every *x [(function[(?x)] representon[(?x straightline coordinateplane)] linearfunction[(?x)])]
@every *x [(linearfunction[(?x)] ~nonconvexfunction[(?x)])]
@every *x [(function[(?x)] nonconvexfunction[(?x)] convexfunction[(?x)])]
@every *x [(quasiconvexfunction[(?x)] realvaluedfunction[(?x)])]
@every *x [... | [function[(maximumofquasiconvexfunction)] representon[(maximumofquasiconvexfunction straightline coordinateplane)]] | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | function(maximumofquasiconvexfunction) & representon(maximumofquasiconvexfunction, straightline, coordinateplane) | -(+F0++R0-+L0)
-(+L0--+N0)
-(+F0-+N0-+C0)
-(+Q0-+R0)
-(+C0-+Q0)
+F2(+m2)
(+F2(+m2)++R2)-+C2(+m2)--+N2(+m2)
| +F2(+m2)++R2
| ∀x (Function(x) ∧ RepresentOn(x, straightLine, coordinatePlane) → LinearFunction(x))
∀x (LinearFunction(x) → ¬NonConvexFunction(x))
∀x (Function(x) → NonConvexFunction(x) ⊕ ConvexFunction(x))
∀x (QuasiConvexFunction(x) → RealValuedFunction(x))
∀x (ConvexFunction(x) → QuasiConvexFunction(x))
Function(maximumOfQuasi... | disjunctive | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | function(maximumofquasiconvexfunction) & representon(maximumofquasiconvexfunction, straightline, coordinateplane) | all:x (function(x) & representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- notnonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
f... | function(maximumofquasiconvexfunction) & representon(maximumofquasiconvexfunction, straightline, coordinateplane) | all:x (function(x) , representon(x, straightline, coordinateplane) :- linearfunction(x))
all:x (linearfunction(x) :- ~nonconvexfunction(x))
all:x (function(x) :- nonconvexfunction(x) ^ convexfunction(x))
all:x (quasiconvexfunction(x) :- realvaluedfunction(x))
all:x (convexfunction(x) :- quasiconvexfunction(x))
fun... | function(maximumofquasiconvexfunction) , representon(maximumofquasiconvexfunction, straightline, coordinateplane) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'F'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'... |
186 | If a person doesn't have enough money to buy a product, then that person can't buy it.
Monitors are products.
4k monitors are more expensive than 1080 monitors and 2k monitors.
John is a person.
John doesn't have enough money to buy a 2k monitor. | ∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))
∀x (Monitor(x) → Product(x))
∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))
Person(john)
∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x)) | John can't buy a 2k monitor. | ∀x (Monitor(x) ∧ TwoK(x) → ¬Buy(john, x)) | True | 538 | forall x forall y (person(x) and product(y) and not haveenoughmoneyfor(x, y) implies not buy(x, y))
forall x (monitor(x) implies product(x))
forall x forall y forall z (monitor(x) and monitor(y) and monitor(z) and fourk(x) and oneoeighto(y) and twok(z) implies moreexpensive(x, y) and moreexpensive(x, z))
person(john... | forall x (monitor(x) and twok(x) implies not buy(john, x)) | forall forall (person(x) , product(y) , nothaveenoughmoneyfor(x, y) -: notbuy(x, y))
forall (monitor(x) -: product(x))
forall forall forall (monitor(x) , monitor(y) , monitor(z) , fourk(x) , oneoeighto(y) , twok(z) -: moreexpensive(x, y) , moreexpensive(x, z))
person(john)
forall (monitor(x) , twok(x) -: nothaveeno... | forall (monitor(x) , twok(x) -: notbuy(john, x)) | [@every *x @every *y [(person[(?x)] product[(?y)] ~haveenoughmoneyfor[(?x y)] ~buy[(?x y)])]
@every *x [(monitor[(?x)] product[(?x)])]
@every *x @every *y @every *z [(monitor[(?x)] monitor[(?y)] monitor[(?z)] fourk[(?x)] oneoeighto[(?y)] twok[(?z)] moreexpensive[(?x y)] moreexpensive[(?x z)])]
person[... | [@every *x [(monitor[(?x)] twok[(?x)] ~buy[(john x)])]] | all:x all:y (person(x) & product(y) & ~haveenoughmoneyfor(x, y) :- ~buy(x, y))
all:x (monitor(x) :- product(x))
all:x all:y all:z (monitor(x) & monitor(y) & monitor(z) & fourk(x) & oneoeighto(y) & twok(z) :- moreexpensive(x, y) & moreexpensive(x, z))
person(john)
all:x (monitor(x) & twok(x) :- ~haveenoughmoneyfor(j... | all:x (monitor(x) & twok(x) :- ~buy(john, x)) | --(+P0++P0+-+H0--+B0)
-(+M0-+P0)
---(+M0++M0++M0++F0++O0++T0-+M0++M0)
+P2(+j2)
-(+M0++T0--+H0)
| -(+M0++T0--+B0)
| ∀x ∀y (Person(x) ∧ Product(y) ∧ ¬HaveEnoughMoneyFor(x, y) → ¬Buy(x, y))
∀x (Monitor(x) → Product(x))
∀x ∀y ∀z (Monitor(x) ∧ Monitor(y) ∧ Monitor(z) ∧ FourK(x) ∧ OneOEightO(y) ∧ TwoK(z) → MoreExpensive(x, y) ∧ MoreExpensive(x, z))
Person(john)
∀x (Monitor(x) ∧ TwoK(x) → ¬HaveEnoughMoneyFor(john, x))∀x (Monitor(x) ∧ ... | complex | all:x all:y (person(x) & product(y) & ~haveenoughmoneyfor(x, y) :- ~buy(x, y))
all:x (monitor(x) :- product(x))
all:x all:y all:z (monitor(x) & monitor(y) & monitor(z) & fourk(x) & oneoeighto(y) & twok(z) :- moreexpensive(x, y) & moreexpensive(x, z))
person(john)
all:x (monitor(x) & twok(x) :- ~haveenoughmoneyfor(j... | all:x (monitor(x) & twok(x) :- ~buy(john, x)) | all:x all:y (person(x) & product(y) & nothaveenoughmoneyfor(x, y) :- notbuy(x, y))
all:x (monitor(x) :- product(x))
all:x all:y all:z (monitor(x) & monitor(y) & monitor(z) & fourk(x) & oneoeighto(y) & twok(z) :- moreexpensive(x, y) & moreexpensive(x, z))
person(john)
all:x (monitor(x) & twok(x) :- nothaveenoughmone... | all:x (monitor(x) & twok(x) :- notbuy(john, x)) | all:x all:y (person(x) , product(y) , ~haveenoughmoneyfor(x, y) :- ~buy(x, y))
all:x (monitor(x) :- product(x))
all:x all:y all:z (monitor(x) , monitor(y) , monitor(z) , fourk(x) , oneoeighto(y) , twok(z) :- moreexpensive(x, y) , moreexpensive(x, z))
person(john)
all:x (monitor(x) , twok(x) :- ~haveenoughmoneyfor(j... | all:x (monitor(x) , twok(x) :- ~buy(john, x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'sym... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'f'}]}, {'type': 'symbol... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'f'}, {'... |
92 | Adventures of Rusty is a drama film and children's film.
Columbia Pictures produced Adventures of Rusty.
Tintin was produced by Paramount.
Tintin is an adventure film. | DramaFilm(adventuresOfRusty) ∧ ChildrensFilm(adventuresOfRusty)
Produces(columbiaPictures, adventuresOfRusty)
Produces(paramount, tintin)
AdventureFilm(tintin) | Columbia pictures produced some drama film. | ∃x (DramaFilm(x) ∧ Produces(columbiaPictures, x)) | True | 279 | dramafilm(adventuresofrusty) and childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | exists x (dramafilm(x) and produces(columbiapictures, x)) | dramafilm(adventuresofrusty) , childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | (dramafilm(x) , produces(columbiapictures, x)) | [dramafilm[(adventuresofrusty)] childrensfilm[(adventuresofrusty)]
produces[(columbiapictures adventuresofrusty)]
produces[(paramount tintin)]
adventurefilm[(tintin)]] | [*x [(dramafilm[(?x)] produces[(columbiapictures x)])]] | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | x (dramafilm(x) & produces(columbiapictures, x)) | +D2(+a2)++C2(+a2)
+P2
+P2
+A2(+t2)
| +(+D1++P1)
| DramaFilm(adventuresOfRusty) ∧ ChildrensFilm(adventuresOfRusty)
Produces(columbiaPictures, adventuresOfRusty)
Produces(paramount, tintin)
AdventureFilm(tintin)∃x (DramaFilm(x) ∧ Produces(columbiaPictures, x)) | complex | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (dramafilm(x) & produces(columbiapictures, x)) | dramafilm(adventuresofrusty) & childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (dramafilm(x) & produces(columbiapictures, x)) | dramafilm(adventuresofrusty) , childrensfilm(adventuresofrusty)
produces(columbiapictures, adventuresofrusty)
produces(paramount, tintin)
adventurefilm(tintin) | some:x (dramafilm(x) , produces(columbiapictures, x)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'D'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'd'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
448 | Everyone that knows about breath-first-search knows how to use a queue.
If someone is a seasoned software engineer interviewer at Google, then they know what breath-first-search is.
Someone is either a seasoned software engineer interviewer at Google, has human rights, or both.
Every person who has human rights i... | ∀x (Know(x, breathFirstSearch) → Know(x, howToUseQueue))
∀x (Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google) → Know(x, breathFirstSearch))
∀x ((Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google)) ∨ Have(x, humanRights))
∀x (Have(x, humanRights) → EntitledTo(x, rightToLifeAndLiberty))
∀x (Know... | Jack is a seasoned software engineer interviewer. | Seasoned(jack) ∧ SoftwareEngineerInterviewer(jack) ∧ At(jack, google) | Uncertain | 1,289 | forall x (know(x, breathfirstsearch) implies know(x, howtousequeue))
forall x (seasoned(x) and softwareengineerinterviewer(x) and at(x, google) implies know(x, breathfirstsearch))
forall x ((seasoned(x) and softwareengineerinterviewer(x) and at(x, google)) or have(x, humanrights))
forall x (have(x, humanrights) impl... | seasoned(jack) and softwareengineerinterviewer(jack) and at(jack, google) | forall (know(x, breathfirstsearch) -: know(x, howtousequeue))
forall (seasoned(x) , softwareengineerinterviewer(x) , at(x, google) -: know(x, breathfirstsearch))
forall ((seasoned(x) , softwareengineerinterviewer(x) , at(x, google)) | have(x, humanrights))
forall (have(x, humanrights) -: entitledto(x, righttolifeand... | seasoned(jack) , softwareengineerinterviewer(jack) , at(jack, google) | [@every *x [(know[(?x breathfirstsearch)] know[(?x howtousequeue)])]
@every *x [(seasoned[(?x)] softwareengineerinterviewer[(?x)] at[(?x google)] know[(?x breathfirstsearch)])]
@every *x [([(seasoned[(?x)] softwareengineerinterviewer[(?x)] at[(?x google)])] have[(?x humanrights)])]
@every *x [(have[(?x ... | [seasoned[(jack)] softwareengineerinterviewer[(jack)] at[(jack google)]] | all:x (know(x, breathfirstsearch) :- know(x, howtousequeue))
all:x (seasoned(x) & softwareengineerinterviewer(x) & at(x, google) :- know(x, breathfirstsearch))
all:x ((seasoned(x) & softwareengineerinterviewer(x) & at(x, google)) | have(x, humanrights))
all:x (have(x, humanrights) :- entitledto(x, righttolifeandlibe... | seasoned(jack) & softwareengineerinterviewer(jack) & at(jack, google) | -(+K0-+K0)
-(+S0++S0++A0-+K0)
-((+S0++S0++A0)-+H0)
-(+H0-+E0)
-(+K0-+K0)
-(+E0--+D0)
(+E2-+H2-+K2)
| +S2(+j2)++S2(+j2)++A2
| ∀x (Know(x, breathFirstSearch) → Know(x, howToUseQueue))
∀x (Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google) → Know(x, breathFirstSearch))
∀x ((Seasoned(x) ∧ SoftwareEngineerInterviewer(x) ∧ At(x, google)) ∨ Have(x, humanRights))
∀x (Have(x, humanRights) → EntitledTo(x, rightToLifeAndLiberty))
∀x (Know... | disjunctive | all:x (know(x, breathfirstsearch) :- know(x, howtousequeue))
all:x (seasoned(x) & softwareengineerinterviewer(x) & at(x, google) :- know(x, breathfirstsearch))
all:x ((seasoned(x) & softwareengineerinterviewer(x) & at(x, google)) | have(x, humanrights))
all:x (have(x, humanrights) :- entitledto(x, righttolifeandlibe... | seasoned(jack) & softwareengineerinterviewer(jack) & at(jack, google) | all:x (know(x, breathfirstsearch) :- know(x, howtousequeue))
all:x (seasoned(x) & softwareengineerinterviewer(x) & at(x, google) :- know(x, breathfirstsearch))
all:x ((seasoned(x) & softwareengineerinterviewer(x) & at(x, google)) | have(x, humanrights))
all:x (have(x, humanrights) :- entitledto(x, righttolifeandlibe... | seasoned(jack) & softwareengineerinterviewer(jack) & at(jack, google) | all:x (know(x, breathfirstsearch) :- know(x, howtousequeue))
all:x (seasoned(x) , softwareengineerinterviewer(x) , at(x, google) :- know(x, breathfirstsearch))
all:x ((seasoned(x) , softwareengineerinterviewer(x) , at(x, google)) | have(x, humanrights))
all:x (have(x, humanrights) :- entitledto(x, righttolifeandlibe... | seasoned(jack) , softwareengineerinterviewer(jack) , at(jack, google) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
95 | DI Ray is a police procedural television series.
DI Ray was created and written by Maya Sondhi.
DI Ray was produced by Jed Mercurio.
Maya Sondhi and Jed Mercurio are both British. | TelevisionSeries(dIRay) ∧ PoliceProcedural(dIRay)
Creates(maya, dIRay) ∧ Writes(maya, dIRay)
Produces(jed, dIRay)
British(maya) ∧ British(jed) | DI Ray was created by a Brit. | ∃x (British(x) ∧ Creates(x, dIRay)) | True | 287 | televisionseries(diray) and policeprocedural(diray)
creates(maya, diray) and writes(maya, diray)
produces(jed, diray)
british(maya) and british(jed) | exists x (british(x) and creates(x, diray)) | televisionseries(diray) , policeprocedural(diray)
creates(maya, diray) , writes(maya, diray)
produces(jed, diray)
british(maya) , british(jed) | (british(x) , creates(x, diray)) | [televisionseries[(diray)] policeprocedural[(diray)]
creates[(maya diray)] writes[(maya diray)]
produces[(jed diray)]
british[(maya)] british[(jed)] ] | [*x [(british[(?x)] creates[(?x diray)])]] | televisionseries(diray) & policeprocedural(diray)
creates(maya, diray) & writes(maya, diray)
produces(jed, diray)
british(maya) & british(jed) | x (british(x) & creates(x, diray)) | +T2(+d2)++P2(+d2)
+C2++W2
+P2
+B2(+m2)++B2(+j2)
| +(+B1++C1)
| TelevisionSeries(dIRay) ∧ PoliceProcedural(dIRay)
Creates(maya, dIRay) ∧ Writes(maya, dIRay)
Produces(jed, dIRay)
British(maya) ∧ British(jed) ∃x (British(x) ∧ Creates(x, dIRay)) | complex | televisionseries(diray) & policeprocedural(diray)
creates(maya, diray) & writes(maya, diray)
produces(jed, diray)
british(maya) & british(jed) | some:x (british(x) & creates(x, diray)) | televisionseries(diray) & policeprocedural(diray)
creates(maya, diray) & writes(maya, diray)
produces(jed, diray)
british(maya) & british(jed) | some:x (british(x) & creates(x, diray)) | televisionseries(diray) , policeprocedural(diray)
creates(maya, diray) , writes(maya, diray)
produces(jed, diray)
british(maya) , british(jed) | some:x (british(x) , creates(x, diray)) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'T'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_8', 'text': '∃'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 't'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'EXISTS', 'text': 'exists'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... |
486 | Everything in Size Town is big or small.
All big things in Size Town are heavy.
All small things in Size Town are light.
All heavy things in Size Town are still.
All light things in Size Town are unstable.
All unstable things in Size Town are changing.
All unstable things in Size Town are unpredictable.
The bird... | ∀x (In(x, sizeTown) → (Big(x) ∨ Small(x)))
∀x (Big(x) ∧ In(x, sizeTown) → Heavy(x))
∀x (Small(x) ∧ In(x, sizeTown) → Light(x))
∀x (Heavy(x) ∧ In(x, sizeTown) → Still(x))
∀x (Light(x) ∧ In(x, sizeTown) → Unstable(x))
∀x (Unstable(x) ∧ In(x, sizeTown) → Changing(x))
∀x (Unstable(x) ∧ In(x, sizeTown) → Unpredictable... | If the bird is small or still, then it is either unpredictable or changing. | Small(bird) ∨ Still(bird) → Unpredictable(bird) ⊕ Changing(bird) | False | 1,429 | forall x (in(x, sizetown) implies (big(x) or small(x)))
forall x (big(x) and in(x, sizetown) implies heavy(x))
forall x (small(x) and in(x, sizetown) implies light(x))
forall x (heavy(x) and in(x, sizetown) implies still(x))
forall x (light(x) and in(x, sizetown) implies unstable(x))
forall x (unstable(x) and in(x... | small(bird) or still(bird) implies unpredictable(bird) xor changing(bird) | forall (in(x, sizetown) -: (big(x) | small(x)))
forall (big(x) , in(x, sizetown) -: heavy(x))
forall (small(x) , in(x, sizetown) -: light(x))
forall (heavy(x) , in(x, sizetown) -: still(x))
forall (light(x) , in(x, sizetown) -: unstable(x))
forall (unstable(x) , in(x, sizetown) -: changing(x))
forall (unstable(x)... | small(bird) | still(bird) -: unpredictable(bird) ^ changing(bird) | [@every *x [(in[(?x sizetown)] [(big[(?x)] small[(?x)])])]
@every *x [(big[(?x)] in[(?x sizetown)] heavy[(?x)])]
@every *x [(small[(?x)] in[(?x sizetown)] light[(?x)])]
@every *x [(heavy[(?x)] in[(?x sizetown)] still[(?x)])]
@every *x [(light[(?x)] in[(?x sizetown)] unstable[(?x)])]
@every *x [(unst... | [small[(bird)] still[(bird)] unpredictable[(bird)] changing[(bird)]] | all:x (in(x, sizetown) :- (big(x) | small(x)))
all:x (big(x) & in(x, sizetown) :- heavy(x))
all:x (small(x) & in(x, sizetown) :- light(x))
all:x (heavy(x) & in(x, sizetown) :- still(x))
all:x (light(x) & in(x, sizetown) :- unstable(x))
all:x (unstable(x) & in(x, sizetown) :- changing(x))
all:x (unstable(x) & in(x... | small(bird) | still(bird) :- unpredictable(bird) ^ changing(bird) | -(+I0-(+B0-+S0))
-(+B0++I0-+H0)
-(+S0++I0-+L0)
-(+H0++I0-+S0)
-(+L0++I0-+U0)
-(+U0++I0-+C0)
-(+U0++I0-+U0)
+I2+-(+H2(+b2)++S2(+b2))
| +S2(+b2)-+S2(+b2)-+U2(+b2)-+C2(+b2)
| ∀x (In(x, sizeTown) → (Big(x) ∨ Small(x)))
∀x (Big(x) ∧ In(x, sizeTown) → Heavy(x))
∀x (Small(x) ∧ In(x, sizeTown) → Light(x))
∀x (Heavy(x) ∧ In(x, sizeTown) → Still(x))
∀x (Light(x) ∧ In(x, sizeTown) → Unstable(x))
∀x (Unstable(x) ∧ In(x, sizeTown) → Changing(x))
∀x (Unstable(x) ∧ In(x, sizeTown) → Unpredictable... | disjunctive | all:x (in(x, sizetown) :- (big(x) | small(x)))
all:x (big(x) & in(x, sizetown) :- heavy(x))
all:x (small(x) & in(x, sizetown) :- light(x))
all:x (heavy(x) & in(x, sizetown) :- still(x))
all:x (light(x) & in(x, sizetown) :- unstable(x))
all:x (unstable(x) & in(x, sizetown) :- changing(x))
all:x (unstable(x) & in(x... | small(bird) | still(bird) :- unpredictable(bird) ^ changing(bird) | all:x (in(x, sizetown) :- (big(x) | small(x)))
all:x (big(x) & in(x, sizetown) :- heavy(x))
all:x (small(x) & in(x, sizetown) :- light(x))
all:x (heavy(x) & in(x, sizetown) :- still(x))
all:x (light(x) & in(x, sizetown) :- unstable(x))
all:x (unstable(x) & in(x, sizetown) :- changing(x))
all:x (unstable(x) & in(x... | small(bird) | still(bird) :- unpredictable(bird) ^ changing(bird) | all:x (in(x, sizetown) :- (big(x) | small(x)))
all:x (big(x) , in(x, sizetown) :- heavy(x))
all:x (small(x) , in(x, sizetown) :- light(x))
all:x (heavy(x) , in(x, sizetown) :- still(x))
all:x (light(x) , in(x, sizetown) :- unstable(x))
all:x (unstable(x) , in(x, sizetown) :- changing(x))
all:x (unstable(x) , in(x... | small(bird) | still(bird) :- unpredictable(bird) ^ changing(bird) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... |
56 | If a person is the leader of a country for life, that person has power.
Leaders of a country for life are either a king or a queen.
Queens are female.
Kings are male.
Elizabeth is a queen.
Elizabeth is a leader of a country for life. | ∀x (Leader(x) → HavePower(x))
∀x (Leader(x) → (King(x) ⊕ Queen(x)))
∀x (Queen(x) → Female(x))
∀x (King(x) → Male(x))
Queen(elizabeth)
Leader(elizabeth) | Elizabeth has power. | HavePower(elizabeth) | True | 166 | forall x (leader(x) implies havepower(x))
forall x (leader(x) implies (king(x) xor queen(x)))
forall x (queen(x) implies female(x))
forall x (king(x) implies male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | forall (leader(x) -: havepower(x))
forall (leader(x) -: (king(x) ^ queen(x)))
forall (queen(x) -: female(x))
forall (king(x) -: male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | [@every *x [(leader[(?x)] havepower[(?x)])]
@every *x [(leader[(?x)] [(king[(?x)] queen[(?x)])])]
@every *x [(queen[(?x)] female[(?x)])]
@every *x [(king[(?x)] male[(?x)])]
queen[(elizabeth)]
leader[(elizabeth)]] | [havepower[(elizabeth)]] | all:x (leader(x) :- havepower(x))
all:x (leader(x) :- (king(x) ^ queen(x)))
all:x (queen(x) :- female(x))
all:x (king(x) :- male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | -(+L0-+H0)
-(+L0-(+K0-+Q0))
-(+Q0-+F0)
-(+K0-+M0)
+Q2(+e2)
+L2(+e2)
| +H2(+e2)
| ∀x (Leader(x) → HavePower(x))
∀x (Leader(x) → (King(x) ⊕ Queen(x)))
∀x (Queen(x) → Female(x))
∀x (King(x) → Male(x))
Queen(elizabeth)
Leader(elizabeth)HavePower(elizabeth) | disjunctive | all:x (leader(x) :- havepower(x))
all:x (leader(x) :- (king(x) ^ queen(x)))
all:x (queen(x) :- female(x))
all:x (king(x) :- male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | all:x (leader(x) :- havepower(x))
all:x (leader(x) :- (king(x) ^ queen(x)))
all:x (queen(x) :- female(x))
all:x (king(x) :- male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | all:x (leader(x) :- havepower(x))
all:x (leader(x) :- (king(x) ^ queen(x)))
all:x (queen(x) :- female(x))
all:x (king(x) :- male(x))
queen(elizabeth)
leader(elizabeth) | havepower(elizabeth) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'H'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'v'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'h'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER', 'text': 'v'}, {'type': 'LETTER'... |
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. | ∀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) | Larry is not a bear and does not travel far. | ¬Bear(larry) ∧ ¬TravelFar(larry) | False | 1,293 | forall x (animal(x) and need(x, largeterritory) implies travelfar(x))
forall x (eatalot(x) implies need(x, largeterritory))
forall x (big(x) and animal(x) implies eatalot(x))
forall x (bear(x) implies big(x) and animal(x))
big(larry) and animal(larry) | not bear(larry) and not travelfar(larry) | forall (animal(x) , need(x, largeterritory) -: travelfar(x))
forall (eatalot(x) -: need(x, largeterritory))
forall (big(x) , animal(x) -: eatalot(x))
forall (bear(x) -: big(x) , animal(x))
big(larry) , animal(larry) | notbear(larry) , nottravelfar(larry) | [@every *x [(animal[(?x)] need[(?x largeterritory)] travelfar[(?x)])]
@every *x [(eatalot[(?x)] need[(?x largeterritory)])]
@every *x [(big[(?x)] animal[(?x)] eatalot[(?x)])]
@every *x [(bear[(?x)] big[(?x)] animal[(?x)])]
big[(larry)] animal[(larry)]] | ~[bear[(larry)] ~travelfar[(larry)]] | all:x (animal(x) & need(x, largeterritory) :- travelfar(x))
all:x (eatalot(x) :- need(x, largeterritory))
all:x (big(x) & animal(x) :- eatalot(x))
all:x (bear(x) :- big(x) & animal(x))
big(larry) & animal(larry) | ~bear(larry) & ~travelfar(larry) | -(+A0++N0-+T0)
-(+E0-+N0)
-(+B0++A0-+E0)
-(+B0-+B0++A0)
+B2(+l2)++A2(+l2)
| -+B2(+l2)+-+T2(+l2)
| ∀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) ∧ ¬TravelFar(larry) | complex | all:x (animal(x) & need(x, largeterritory) :- travelfar(x))
all:x (eatalot(x) :- need(x, largeterritory))
all:x (big(x) & animal(x) :- eatalot(x))
all:x (bear(x) :- big(x) & animal(x))
big(larry) & animal(larry) | ~bear(larry) & ~travelfar(larry) | all:x (animal(x) & need(x, largeterritory) :- travelfar(x))
all:x (eatalot(x) :- need(x, largeterritory))
all:x (big(x) & animal(x) :- eatalot(x))
all:x (bear(x) :- big(x) & animal(x))
big(larry) & animal(larry) | notbear(larry) & nottravelfar(larry) | all:x (animal(x) , need(x, largeterritory) :- travelfar(x))
all:x (eatalot(x) :- need(x, largeterritory))
all:x (big(x) , animal(x) :- eatalot(x))
all:x (bear(x) :- big(x) , animal(x))
big(larry) , animal(larry) | ~bear(larry) , ~travelfar(larry) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': '__ANON_2', 'text': '¬'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'childr... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'children'... |
237 | Zaha Hadid is a British-Iraqi architect, artist, and designer.
Zaha Hadid was born on 31 October 1950 in Baghdad, Iraq.
Zaha Hadid was a visiting professor of Architectural Design at the Yale School of Architecture.
Max is an aspiring architecture student and plans to apply to the Yale School of Architecture. | British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid)
BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq)
VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture)
AspiringArchitectureStudent(max) ∧ PlansToApplyTo(... | Zaha Hadid did some work in interior design. | DidWorkIn(zahaHadid, interiorDesign) | Uncertain | 673 | british-iraqi(zahahadid) and architect(zahahadid) and artist(zahahadid) and designer(zahahadid)
bornon(zahahadid, 31october1950) and bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) and visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) and pla... | didworkin(zahahadid, interiordesign) | british-iraqi(zahahadid) , architect(zahahadid) , artist(zahahadid) , designer(zahahadid)
bornon(zahahadid, 31october1950) , bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) , visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) , planstoapplyto(... | didworkin(zahahadid, interiordesign) | [british-iraqi[(zahahadid)] architect[(zahahadid)] artist[(zahahadid)] designer[(zahahadid)]
bornon[(zahahadid 31october1950)] bornin[(zahahadid baghdadiraq)]
visitingprofessorof[(zahahadid architecturaldesign)] visitingprofessorat[(zahahadid yaleschoolofarchitecture)]
aspiringarchitecturestudent[(max)] pl... | [didworkin[(zahahadid interiordesign)]] | british-iraqi(zahahadid) & architect(zahahadid) & artist(zahahadid) & designer(zahahadid)
bornon(zahahadid, 31october1950) & bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) & visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) & planstoapplyto(... | didworkin(zahahadid, interiordesign) | +B2(+z2)++A2(+z2)++A2(+z2)++D2(+z2)
+B2++B2
+V2++V2
+A2(+m2)++P2
| +D2
| British-Iraqi(zahaHadid) ∧ Architect(zahaHadid) ∧ Artist(zahaHadid) ∧ Designer(zahaHadid)
BornOn(zahaHadid, 31October1950) ∧ BornIn(zahaHadid, baghdadIraq)
VisitingProfessorOf(zahaHadid, architecturalDesign) ∧ VisitingProfessorAt(zahaHadid, yaleSchoolOfArchitecture)
AspiringArchitectureStudent(max) ∧ PlansToApplyTo(... | complex | british-iraqi(zahahadid) & architect(zahahadid) & artist(zahahadid) & designer(zahahadid)
bornon(zahahadid, 31october1950) & bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) & visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) & planstoapplyto(... | didworkin(zahahadid, interiordesign) | british-iraqi(zahahadid) & architect(zahahadid) & artist(zahahadid) & designer(zahahadid)
bornon(zahahadid, 31october1950) & bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) & visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) & planstoapplyto(... | didworkin(zahahadid, interiordesign) | british-iraqi(zahahadid) , architect(zahahadid) , artist(zahahadid) , designer(zahahadid)
bornon(zahahadid, 31october1950) , bornin(zahahadid, baghdadiraq)
visitingprofessorof(zahahadid, architecturaldesign) , visitingprofessorat(zahahadid, yaleschoolofarchitecture)
aspiringarchitecturestudent(max) , planstoapplyto(... | didworkin(zahahadid, interiordesign) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'D'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'd'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'd'}, {'type': 'LETTER', 'text': 'i'}, {'type': 'LETTER', 'text': 'd'}, {'type': 'LETTER'... |
378 | All people who attend weddings are getting married or know the people who are getting married.
No preteens or young children are getting married or know the people who are getting married.
People who enjoy celebrating life milestone events with other people attend weddings.
People who are fond of large group functio... | ∀x (Attend(x, wedding) → GettingMarried(x) ∨ (∃y (Know(x, y) ∧ GettingMarried(y)))
∀x (PreTeen(x) ∨ YoungChild(x) → ¬(GettingMarried(x) ⊕ (∃y (Know(x, y) ∧ GettingMarried(y)))))
∀x (∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) → Attend(x, weddi... | Carol neither enjoys celebrating life milestone events with other people nor is outgoing and very spirited. | ¬((∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) ∨ (Outgoing(carol) ∧ Sprited(carol))) | True | 1,010 | forall x (attend(x, wedding) implies gettingmarried(x) or (exists y (know(x, y) and gettingmarried(y)))
forall x (preteen(x) or youngchild(x) implies not (gettingmarried(x) xor (exists y (know(x, y) and gettingmarried(y)))))
forall x (exists y exists z (not (x=y) and not (x=z) and not (y=z) and enjoy(x, celebratingli... | not ((exists y exists z (not (x=y) and not (x=z) and not (y=z) and enjoy(x, celebratinglifemilestoneevent, y) and enjoy(x, celebratinglifestoneevent, z)) or (outgoing(carol) and sprited(carol))) | forall (attend(x, wedding) -: gettingmarried(x) | ( (know(x, y) , gettingmarried(y)))
forall (preteen(x) | youngchild(x) -: not(gettingmarried(x) ^ ( (know(x, y) , gettingmarried(y)))))
forall ( (not(x=y) , not(x=z) , not(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestoneevent, z)) -: ... | not(( (not(x=y) , not(x=z) , not(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestoneevent, z)) | (outgoing(carol) , sprited(carol))) | [@every *x [(attend[(?x wedding)] gettingmarried[(?x)] [(*y [(know[(?x y)] gettingmarried[(?y)])])]
@every *x [(preteen[(?x)] youngchild[(?x)] ~[(gettingmarried[(?x)] [(*y [(know[(?x y)] gettingmarried[(?y)])])])])]
@every *x [(*y *z [(~[(?x=y)] ~[(?x=z)] ~[(?y=z)] enjoy[(?x celebratinglifemilestoneeven... | ~[[([(*y *z [(~[(x=y)] ~[(x=z)] ~[(?y=z)] enjoy[(x celebratinglifemilestoneevent y)] enjoy[(x celebratinglifestoneevent z)])] [(outgoing[(carol)] sprited[(carol)])])]] | all:x (attend(x, wedding) :- gettingmarried(x) | (y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (y (know(x, y) & gettingmarried(y)))))
all:x (y z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestoneevent, z)) :- attend(... | ~((y z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestoneevent, z)) | (outgoing(carol) & sprited(carol))) | -(+A0-+G0-(+(+K1++G1))
-(+P0-+Y0--(+G0-(+(+K1++G1))))
-(++(-(+x1)+-(+x1)+-(+y1)++E1++E1)-+A1)
-(+F0-++(-(+x0)+-(+x0)+-(+y0)++E0++E0))
-(+O0++S0-+F0)
-((+P2(+c2)-+Y2(+c2))++A2)--(+G2(+c2)-(+(+K1++G1)))
| -((++(-(+x1)+-(+x1)+-(+y1)++E1++E1)-(+O1(+c1)++S1(+c1)))
| ∀x (Attend(x, wedding) → GettingMarried(x) ∨ (∃y (Know(x, y) ∧ GettingMarried(y)))
∀x (PreTeen(x) ∨ YoungChild(x) → ¬(GettingMarried(x) ⊕ (∃y (Know(x, y) ∧ GettingMarried(y)))))
∀x (∃y ∃z (¬(x=y) ∧ ¬(x=z) ∧ ¬(y=z) ∧ Enjoy(x, celebratingLifeMileStoneEvent, y) ∧ Enjoy(x, celebratingLifeStoneEvent, z)) → Attend(x, weddi... | disjunctive | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (some:y (know(x, y) & gettingmarried(y)))))
all:x (some:y some:z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestonee... | ~((some:y some:z (~(x=y) & ~(x=z) & ~(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestoneevent, z)) | (outgoing(carol) & sprited(carol))) | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) & gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- not(gettingmarried(x) ^ (some:y (know(x, y) & gettingmarried(y)))))
all:x (some:y some:z (not(x=y) & not(x=z) & not(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratingli... | not((some:y some:z (not(x=y) & not(x=z) & not(y=z) & enjoy(x, celebratinglifemilestoneevent, y) & enjoy(x, celebratinglifestoneevent, z)) | (outgoing(carol) & sprited(carol))) | all:x (attend(x, wedding) :- gettingmarried(x) | (some:y (know(x, y) , gettingmarried(y)))
all:x (preteen(x) | youngchild(x) :- ~(gettingmarried(x) ^ (some:y (know(x, y) , gettingmarried(y)))))
all:x (some:y some:z (~(x=y) , ~(x=z) , ~(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestonee... | ~((some:y some:z (~(x=y) , ~(x=z) , ~(y=z) , enjoy(x, celebratinglifemilestoneevent, y) , enjoy(x, celebratinglifestoneevent, z)) | (outgoing(carol) , sprited(carol))) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': []}]}, {'type': 'keyword', 'children': [{'type': '__ANON_2', 'text... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'keyword', 'children': [{'type': 'NOT', 'text': 'not'}]}, {'type': 'proposition', 'children': [{'type': 'complexproposition', 'children'... |
377 | Everything is either outside the solar system or in the solar system.
Nothing outside the solar system has the Sun as its star.
Everything in the solar system is gravitationally bound by the Sun.
No planets gravitationally bound by the Sun are rogue planets.
All orphan planets are rogue planets.
If PSO J318.5−22... | ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem))
∀x (Outside(x, solarSystem) → ¬SunAs(x, star))
∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally))
∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x)))
∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x))
¬(Planet(pSOJ318522) ∧ Rogue(pSOJ... | PSO J318.5−22 is an orphan planet. | Planet(pSOJ318522) ∧ Orphan(pSOJ318522) | Uncertain | 1,005 | forall x (outside(x, solarsystem) xor in(x, solarsystem))
forall x (outside(x, solarsystem) implies not sunas(x, star))
forall x (in(x, solarsystem) implies boundby(x, sun, gravitationally))
forall x (planet(x) and boundby(x, sun, gravitationally) implies not (planet(x) and rogue(x)))
forall x (planet(x) and orphan... | planet(psoj318522) and orphan(psoj318522) | forall (outside(x, solarsystem) ^ in(x, solarsystem))
forall (outside(x, solarsystem) -: notsunas(x, star))
forall (in(x, solarsystem) -: boundby(x, sun, gravitationally))
forall (planet(x) , boundby(x, sun, gravitationally) -: not(planet(x) , rogue(x)))
forall (planet(x) , orphan(x) -: planet(x) , rogue(x))
not(p... | planet(psoj318522) , orphan(psoj318522) | [@every *x [(outside[(?x solarsystem)] in[(?x solarsystem)])]
@every *x [(outside[(?x solarsystem)] ~sunas[(?x star)])]
@every *x [(in[(?x solarsystem)] boundby[(?x sun gravitationally)])]
@every *x [(planet[(?x)] boundby[(?x sun gravitationally)] ~[(planet[(?x)] rogue[(?x)])])]
@every *x [(planet[(?... | [planet[(pSOJ3185-22)] orphan[(pSOJ3185-22)]] | all:x (outside(x, solarsystem) ^ in(x, solarsystem))
all:x (outside(x, solarsystem) :- ~sunas(x, star))
all:x (in(x, solarsystem) :- boundby(x, sun, gravitationally))
all:x (planet(x) & boundby(x, sun, gravitationally) :- ~(planet(x) & rogue(x)))
all:x (planet(x) & orphan(x) :- planet(x) & rogue(x))
~(planet(pSOJ3... | planet(pSOJ3185-22) & orphan(pSOJ3185-22) | -(+O0-+I0)
-(+O0--+S0)
-(+I0-+B0)
-(+P0++B0--(+P0++R0))
-(+P0++O0-+P0++R0)
-(+P2(+p2)++R2(+p2)++B2)-(+P2(+p2)++R2(+p2))
| +P2(+p2)++O2(+p2)
| ∀x (Outside(x, solarSystem) ⊕ In(x, solarSystem))
∀x (Outside(x, solarSystem) → ¬SunAs(x, star))
∀x (In(x, solarSystem) → BoundBy(x, sun, gravitationally))
∀x (Planet(x) ∧ BoundBy(x, sun, gravitationally) → ¬(Planet(x) ∧ Rogue(x)))
∀x (Planet(x) ∧ Orphan(x) → Planet(x) ∧ Rogue(x))
¬(Planet(pSOJ3185-22) ∧ Rogue(pSO... | disjunctive | all:x (outside(x, solarsystem) ^ in(x, solarsystem))
all:x (outside(x, solarsystem) :- ~sunas(x, star))
all:x (in(x, solarsystem) :- boundby(x, sun, gravitationally))
all:x (planet(x) & boundby(x, sun, gravitationally) :- ~(planet(x) & rogue(x)))
all:x (planet(x) & orphan(x) :- planet(x) & rogue(x))
~(planet(pSOJ3... | planet(psoj318522) & orphan(psoj318522) | all:x (outside(x, solarsystem) ^ in(x, solarsystem))
all:x (outside(x, solarsystem) :- notsunas(x, star))
all:x (in(x, solarsystem) :- boundby(x, sun, gravitationally))
all:x (planet(x) & boundby(x, sun, gravitationally) :- not(planet(x) & rogue(x)))
all:x (planet(x) & orphan(x) :- planet(x) & rogue(x))
not(planet... | planet(psoj318522) & orphan(psoj318522) | all:x (outside(x, solarsystem) ^ in(x, solarsystem))
all:x (outside(x, solarsystem) :- ~sunas(x, star))
all:x (in(x, solarsystem) :- boundby(x, sun, gravitationally))
all:x (planet(x) , boundby(x, sun, gravitationally) :- ~(planet(x) , rogue(x)))
all:x (planet(x) , orphan(x) :- planet(x) , rogue(x))
~(planet(pSOJ3... | planet(psoj318522) , orphan(psoj318522) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'P'}, {'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition... |
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. | ∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))
∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))
∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x))
∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x))
(NBAPlayer(stephencurry) ⊕ ProfessionalSoccerPlayer(stephencurry)) →... | Stephen Curry is an NBA player. | NBAPlayer(stephenCurry) | Uncertain | 840 | forall x (professionalsoccerplayer(x) implies not professionalbasketballplayer(x))
forall x (nbaplayer(x) implies professionalbasketballplayer(x))
forall x (professionalsoccerdefender(x) implies professionalsoccerplayer(x))
forall x (professionalcenterback(x) implies professionalsoccerdefender(x))
(nbaplayer(stephe... | nbaplayer(stephencurry) | forall (professionalsoccerplayer(x) -: notprofessionalbasketballplayer(x))
forall (nbaplayer(x) -: professionalbasketballplayer(x))
forall (professionalsoccerdefender(x) -: professionalsoccerplayer(x))
forall (professionalcenterback(x) -: professionalsoccerdefender(x))
(nbaplayer(stephencurry) ^ professionalsoccerp... | nbaplayer(stephencurry) | [@every *x [(professionalsoccerplayer[(?x)] ~professionalbasketballplayer[(?x)])]
@every *x [(nbaplayer[(?x)] professionalbasketballplayer[(?x)])]
@every *x [(professionalsoccerdefender[(?x)] professionalsoccerplayer[(?x)])]
@every *x [(professionalcenterback[(?x)] professionalsoccerdefender[(?x)])]
[(nbaplayer... | [nbaplayer[(stephencurry)]] | all:x (professionalsoccerplayer(x) :- ~professionalbasketballplayer(x))
all:x (nbaplayer(x) :- professionalbasketballplayer(x))
all:x (professionalsoccerdefender(x) :- professionalsoccerplayer(x))
all:x (professionalcenterback(x) :- professionalsoccerdefender(x))
(nbaplayer(stephencurry) ^ professionalsoccerplayer(... | nbaplayer(stephencurry) | -(+P0--+P0)
-(+N0-+P0)
-(+P0-+P0)
-(+P0-+P0)
(+N2(+s2)-+P2(+s2))-+P2(+s2)
| +N2(+s2)
| ∀x (ProfessionalSoccerPlayer(x) → ¬ProfessionalBasketballPlayer(x))
∀x (NBAPlayer(x) → ProfessionalBasketballPlayer(x))
∀x (ProfessionalSoccerDefender(x) → ProfessionalSoccerPlayer(x))
∀x (ProfessionalCenterback(x) → ProfessionalSoccerDefender(x))
(NBAPlayer(stephencurry) ⊕ ProfessionalSoccerPlayer(stephencurry)) →... | disjunctive | all:x (professionalsoccerplayer(x) :- ~professionalbasketballplayer(x))
all:x (nbaplayer(x) :- professionalbasketballplayer(x))
all:x (professionalsoccerdefender(x) :- professionalsoccerplayer(x))
all:x (professionalcenterback(x) :- professionalsoccerdefender(x))
(nbaplayer(stephencurry) ^ professionalsoccerplayer(... | nbaplayer(stephencurry) | all:x (professionalsoccerplayer(x) :- notprofessionalbasketballplayer(x))
all:x (nbaplayer(x) :- professionalbasketballplayer(x))
all:x (professionalsoccerdefender(x) :- professionalsoccerplayer(x))
all:x (professionalcenterback(x) :- professionalsoccerdefender(x))
(nbaplayer(stephencurry) ^ professionalsoccerplaye... | nbaplayer(stephencurry) | all:x (professionalsoccerplayer(x) :- ~professionalbasketballplayer(x))
all:x (nbaplayer(x) :- professionalbasketballplayer(x))
all:x (professionalsoccerdefender(x) :- professionalsoccerplayer(x))
all:x (professionalcenterback(x) :- professionalsoccerdefender(x))
(nbaplayer(stephencurry) ^ professionalsoccerplayer(... | nbaplayer(stephencurry) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': '__ANON_9', 'text': '∀'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'proposit... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'N'}, {'type': 'LETTER', 'text': 'B'}, {'type': 'LETTER', 'text': 'A'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'quantifier', 'children': [{'type': 'FORALL', 'text': 'forall'}]}, {'type': 'symbol', 'children': [{'type': 'LETTER', 'text': 'x'}]}, {'type': 'leftparen', 'children': [{'type': 'LPAR', 'text': '('}]}, {'type': 'propo... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'n'}, {'type': 'LETTER', 'text': 'b'}, {'type': 'LETTER', 'text': 'a'}, {'type': 'LETTER'... |
157 | The party provides five kinds of fruits: strawberry, orange, blueberry, grape, and cherry.
If the fruit had the lowest remaining weight at the end of the party, then it means it was the most popular fruit.
At the end of the party, strawberries had the lowest remaining weight.
At the end of the party, the number of l... | Provide(party, strawberry) ∧ Provide(party, orange) ∧ Provide(party, blueberry) ∧ Provide(party, grape) ∧ Provide(party, cherry)
∀x (LowestWeightRemainingAt(x, endOfParty) → MostPopular(x))
LowestWeightRemainingAt(strawberries, endOfParty)
LowerWeightAt(blueberry, cherry, endOfParty)
Eat(benjamin, orange) ∧ Eat(ben... | Cherries were the most popular fruit at the party. | MostPopular(cherry) | Uncertain | 451 | provide(party, strawberry) and provide(party, orange) and provide(party, blueberry) and provide(party, grape) and provide(party, cherry)
forall x (lowestweightremainingat(x, endofparty) implies mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjam... | mostpopular(cherry) | provide(party, strawberry) , provide(party, orange) , provide(party, blueberry) , provide(party, grape) , provide(party, cherry)
forall (lowestweightremainingat(x, endofparty) -: mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjamin, orange) , e... | mostpopular(cherry) | [provide[(party strawberry)] provide[(party orange)] provide[(party blueberry)] provide[(party grape)] provide[(party cherry)]
@every *x [(lowestweightremainingat[(?x endofparty)] mostpopular[(?x)])]
lowestweightremainingat[(strawberries endofparty)]
lowerweightat[(blueberry cherry endofparty)]
eat[... | [mostpopular[(cherry)]] | provide(party, strawberry) & provide(party, orange) & provide(party, blueberry) & provide(party, grape) & provide(party, cherry)
all:x (lowestweightremainingat(x, endofparty) :- mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjamin, orange) & e... | mostpopular(cherry) | +P2++P2++P2++P2++P2
-(+L0-+M0)
+L2
+L2
+E2++E2+-+E2+-+E2+-+E2
| +M2(+c2)
| Provide(party, strawberry) ∧ Provide(party, orange) ∧ Provide(party, blueberry) ∧ Provide(party, grape) ∧ Provide(party, cherry)
∀x (LowestWeightRemainingAt(x, endOfParty) → MostPopular(x))
LowestWeightRemainingAt(strawberries, endOfParty)
LowerWeightAt(blueberry, cherry, endOfParty)
Eat(benjamin, orange) ∧ Eat(b... | complex | provide(party, strawberry) & provide(party, orange) & provide(party, blueberry) & provide(party, grape) & provide(party, cherry)
all:x (lowestweightremainingat(x, endofparty) :- mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjamin, orange) & e... | mostpopular(cherry) | provide(party, strawberry) & provide(party, orange) & provide(party, blueberry) & provide(party, grape) & provide(party, cherry)
all:x (lowestweightremainingat(x, endofparty) :- mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjamin, orange) & e... | mostpopular(cherry) | provide(party, strawberry) , provide(party, orange) , provide(party, blueberry) , provide(party, grape) , provide(party, cherry)
all:x (lowestweightremainingat(x, endofparty) :- mostpopular(x))
lowestweightremainingat(strawberries, endofparty)
lowerweightat(blueberry, cherry, endofparty)
eat(benjamin, orange) , e... | mostpopular(cherry) | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'M'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexproposition', 'children': [{'type': 'proposition', 'children': [{'type': 'complexpropositio... | {'type': 'start', 'children': [{'type': 'program', 'children': [{'type': 'stat', 'children': [{'type': 'proposition', 'children': [{'type': 'atomicproposition', 'children': [{'type': 'term', 'children': [{'type': 'LETTER', 'text': 'm'}, {'type': 'LETTER', 'text': 'o'}, {'type': 'LETTER', 'text': 's'}, {'type': 'LETTER'... |
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