premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not humble and not calm is funny and vice versa. If someone is not calm or kind then someone is old. Everyone who is either calm or not wise is both not calm and kind and vice versa. If someone is generous then alice is both curious and rich and vice versa. If someone is both not brave and kind the... | Susan is wise. | neutral | (![X]:((~humble(X)&~calm(X))<=>funny(X)))&
((?[X]:((~calm(X)|kind(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~calm(X)&kind(X))))&
((?[X]:(generous(X)))<=>((curious(alice)&rich(alice))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~kind(X)|strong(X))))=>(?[X]:((~old(X)&~c... | wise(susan) | [] | null | 0 |
Everyone who is both not old and tall is funny and vice versa. If someone is either strong or generous then someone is both not brave and happy. Everyone who is not kind is either happy or calm. If alice is generous then fred is not strong or calm and vice versa. Everyone who is not tall or not kind is either curious o... | Paul is quiet. | contradiction | (![X]:((~old(X)&tall(X))<=>funny(X)))&
((?[X]:((strong(X)<~>generous(X))))=>(?[X]:((~brave(X)&happy(X)))))&
(![X]:(~kind(X)=>(happy(X)<~>calm(X))))&
((generous(alice))<=>((~strong(fred)|calm(fred))))&
(![X]:((~tall(X)|~kind(X))=>(curious(X)<~>calm(X))))&
(![X]:((~generous(X)&generous(X))<=>(patient(X)&humble(X))))&
(((... | quiet(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2224816567562899117179302
% SZS output start Proof for 2224816567562899117179302
20. calm(paul) & ~quiet(paul) [input p19]
25. quiet(paul) [input hypothesis]
143. ~quiet(paul) [cnf transformation 20]
151. quiet(paul) [cnf transformation 25]
231. 17 <=> quiet(paul) [avatar definition]
287.... | 0 |
If alice is both not strong and funny then someone is creative or generous and vice versa. If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patie... | Alice is tall. | neutral | (((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happ... | tall(alice) | [] | null | 0 |
Everyone who is either not happy or not humble is strong. Everyone who is not kind is not patient and vice versa. Everyone who is not calm is wise or not patient and vice versa. If someone is humble then alice is both not brave and strong and vice versa. Everyone who is both funny and calm is both not wise and funny an... | Susan is not tall. | neutral | (![X]:((~happy(X)<~>~humble(X))=>strong(X)))&
(![X]:(~kind(X)<=>~patient(X)))&
(![X]:(~calm(X)<=>(wise(X)|~patient(X))))&
((?[X]:(humble(X)))<=>((~brave(alice)&strong(alice))))&
(![X]:((funny(X)&calm(X))<=>(~wise(X)&funny(X))))&
(![X]:((humble(X)&generous(X))=>(~kind(X)&~rich(X))))&
(((~creative(lucy)|strong(lucy)))<=>... | ~tall(susan) | [] | null | 0 |
If mary is both generous and not old then someone is either old or not tall and vice versa.
Everyone who is old is either brave or wise.
If someone is either not happy or not funny then someone is either not old or funny and vice versa.
If someone is brave then someone is not strong.
Everyone who is either tall or rich... | Fred is strong. | neutral | (((generous(mary)&~old(mary)))<=>(?[X]:((old(X)<~>~tall(X)))))&
(![X]:(old(X)=>(brave(X)<~>wise(X))))&
((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((~old(X)<~>funny(X)))))&
((?[X]:(brave(X)))=>(?[X]:(~strong(X))))&
(![X]:((tall(X)<~>rich(X))=>(patient(X)&~creative(X))))&
(((~rich(paul)&~old(paul)))<=>(?[X]:((patient(X)|~... | strong(fred) | [] | null | 0 |
Everyone who is wise or brave is either humble or not funny and vice versa.
If john is not humble then susan is both not wise and curious and vice versa.
Everyone who is humble is rich.
Everyone who is curious or kind is both generous and curious.
If someone is humble or strong then john is wise.
If lucy is not funny t... | Alice is not calm. | entailment | (![X]:((wise(X)|brave(X))<=>(humble(X)<~>~funny(X))))&
((~humble(john))<=>((~wise(susan)&curious(susan))))&
(![X]:(humble(X)=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(generous(X)&curious(X))))&
((?[X]:((humble(X)|strong(X))))=>(wise(john)))&
((~funny(lucy))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((patient(X)<~>creative(... | ~calm(alice) | [
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3533409181625849168322341
% SZS output start Proof for 3533409181625849168322341
19. ~calm(alice) <~> ~humble(alice) [input p18]
21. ~patient(alice) & humble(alice) [input p20]
25. calm(alice) [input hypothesis]
69. (humble(alice) | calm(alice)) & (~humble(alice) | ~calm(alice)) [nnf tran... | 0 |
If john is strong or not wise then john is either funny or not humble and vice versa.
Everyone who is not strong is both not kind and not brave and vice versa.
If fred is either old or not brave then someone is quiet and vice versa.
Everyone who is kind or calm is both patient and happy and vice versa.
If alice is happ... | John is patient. | entailment | (((strong(john)|~wise(john)))<=>((funny(john)<~>~humble(john))))&
(![X]:(~strong(X)<=>(~kind(X)&~brave(X))))&
(((old(fred)<~>~brave(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&happy(X))))&
(((happy(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~wise(X)|funny(X))))&... | patient(john) | [
"p1",
"p3",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6239435836015382704837431
% SZS output start Proof for 6239435836015382704837431
2. ! [X0] : (~strong(X0) <=> (~brave(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((calm(X0) | kind(X0)) <=> (happy(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> (funny(X0) | ~wise(X0)... | 0 |
Everyone who is both not humble and not creative is not patient and vice versa. If lucy is not curious then someone is tall and vice versa. If someone is patient then fred is both happy and generous and vice versa. Everyone who is either not kind or kind is either creative or kind. If someone is both quiet and patient ... | Fred is strong. | entailment | (![X]:((~humble(X)&~creative(X))<=>~patient(X)))&
((~curious(lucy))<=>(?[X]:(tall(X))))&
((?[X]:(patient(X)))<=>((happy(fred)&generous(fred))))&
(![X]:((~kind(X)<~>kind(X))=>(creative(X)<~>kind(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:(quiet(X)=>(strong(X)<~>~generous(X))))&
(((fu... | strong(fred) | [
"p2",
"p4",
"p5",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4448223345621805759165708
% SZS output start Proof for 4448223345621805759165708
3. ? [X0] : patient(X0) <=> (generous(fred) & happy(fred)) [input p2]
5. ? [X0] : (patient(X0) & quiet(X0)) <=> ? [X0] : (happy(X0) | patient(X0)) [input p4]
6. ! [X0] : (quiet(X0) => (strong(X0) <~> ~generou... | 0 |
Everyone who is either calm or curious is not curious. Everyone who is either not funny or not strong is both curious and funny and vice versa. If someone is creative or kind then someone is not patient or not strong and vice versa. If someone is either brave or not creative then mary is either patient or not rich and ... | Mary is not humble. | entailment | (![X]:((calm(X)<~>curious(X))=>~curious(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(curious(X)&funny(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((patient(mary)<~>~rich(mary))))&
(![X]:((generous(X)&~quiet(X))=>(~patient(X)&rich(X))))&
((?[X]:((generou... | ~humble(mary) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3976495359662123274168515
% SZS output start Proof for 3976495359662123274168515
1. ! [X0] : ((calm(X0) <~> curious(X0)) => ~curious(X0)) [input p0]
6. ? [X0] : (generous(X0) <~> humble(X0)) <=> (brave(alice) & curious(alice)) [input p5]
9. ? [X0] : generous(X0) <=> (~humble(mary) & old(m... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is not patient then someone is not humble or funny and vice versa.
Everyone who is generous is curious.
... | Mary is not funny. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~humble(X)|funny(X)))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~hum... | ~funny(mary) | [
"p1",
"p2",
"p6",
"p9",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8471428173122592117239440
% SZS output start Proof for 8471428173122592117239440
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
7. ? [X0] : (~wise(X0) | ~humble(X0)) <=> (~curious(mary) & fun... | 0 |
If lucy is both tall and not humble then someone is curious and vice versa.
Everyone who is both not brave and old is quiet.
If someone is rich then fred is both curious and not kind and vice versa.
If someone is either generous or curious then someone is both generous and not curious.
Everyone who is either calm or no... | Alice is quiet. | neutral | (((tall(lucy)&~humble(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)&old(X))=>quiet(X)))&
((?[X]:(rich(X)))<=>((curious(fred)&~kind(fred))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((calm(X)<~>~creative(X))<=>funny(X)))&
((~kind(mary))=>(?[X]:((brave(X)|~generous(X)))))&
(![... | quiet(alice) | [] | null | 0 |
If alice is both tall and not strong then someone is both not happy and calm and vice versa. If mary is not rich or not happy then someone is humble and vice versa. Everyone who is kind or not wise is both creative and not funny and vice versa. If someone is both happy and not calm then someone is calm or rich and vice... | John is not quiet. | entailment | (((tall(alice)&~strong(alice)))<=>(?[X]:((~happy(X)&calm(X)))))&
(((~rich(mary)|~happy(mary)))<=>(?[X]:(humble(X))))&
(![X]:((kind(X)|~wise(X))<=>(creative(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<... | ~quiet(john) | [
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6527802521633346397739213
% SZS output start Proof for 6527802521633346397739213
7. ? [X0] : ~kind(X0) => (kind(john) & creative(john)) [input p6]
9. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (calm(X0) <~> quiet(X0))) [input p8]
12. ! [X0] : ((calm(X0) | ~strong(X0)) => (tall(X0) & ~tall(X0))... | 0 |
Everyone who is either not quiet or rich is tall.
If alice is not curious or not quiet then fred is generous or wise and vice versa.
If someone is curious or humble then someone is not funny or tall and vice versa.
If someone is both funny and kind then someone is not generous.
Everyone who is patient is not quiet or n... | Alice is generous. | entailment | (![X]:((~quiet(X)<~>rich(X))=>tall(X)))&
(((~curious(alice)|~quiet(alice)))<=>((generous(fred)|wise(fred))))&
((?[X]:((curious(X)|humble(X))))<=>(?[X]:((~funny(X)|tall(X)))))&
((?[X]:((funny(X)&kind(X))))=>(?[X]:(~generous(X))))&
(![X]:(patient(X)<=>(~quiet(X)|~brave(X))))&
(![X]:(~funny(X)=>(quiet(X)<~>rich(X))))&
((?... | generous(alice) | [
"p5",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8117086542744248460490611
% SZS output start Proof for 8117086542744248460490611
6. ! [X0] : (~funny(X0) => (quiet(X0) <~> rich(X0))) [input p5]
16. ? [X0] : (funny(X0) | ~generous(X0)) => (~creative(paul) & rich(paul)) [input p15]
19. quiet(paul) & ~funny(paul) [input p18]
25. ~generous(... | 0 |
If lucy is either funny or not rich then susan is both calm and brave. If someone is wise then someone is rich or not strong. Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not hum... | Fred is not rich. | entailment | (((funny(lucy)<~>~rich(lucy)))=>((calm(susan)&brave(susan))))&
((?[X]:(wise(X)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X)... | ~rich(fred) | [
"p4",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8365843378838707063358438
% SZS output start Proof for 8365843378838707063358438
5. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~rich(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> brave(X0)) [input p9]
11. ! [X0] : ((quiet(X0) | brave(X0)) <=> (~brave(X0) | ~qui... | 0 |
Everyone who is tall or humble is humble. If someone is both not generous and tall then someone is creative or calm and vice versa. If john is not happy then fred is tall or kind. Everyone who is either generous or humble is both brave and generous and vice versa. If someone is either not humble or not brave then paul ... | Paul is not quiet. | neutral | (![X]:((tall(X)|humble(X))=>humble(X)))&
((?[X]:((~generous(X)&tall(X))))<=>(?[X]:((creative(X)|calm(X)))))&
((~happy(john))=>((tall(fred)|kind(fred))))&
(![X]:((generous(X)<~>humble(X))<=>(brave(X)&generous(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(happy(paul)))&
(![X]:((quiet(X)&~generous(X))<=>(~patient(X)<~>calm... | ~quiet(paul) | [] | null | 0 |
If someone is not creative then john is either not tall or not generous.
Everyone who is not brave or not tall is brave and vice versa.
Everyone who is humble or curious is creative or funny.
Everyone who is either not quiet or not tall is both kind and not wise and vice versa.
Everyone who is both not old and patient ... | Susan is not happy. | neutral | ((?[X]:(~creative(X)))=>((~tall(john)<~>~generous(john))))&
(![X]:((~brave(X)|~tall(X))<=>brave(X)))&
(![X]:((humble(X)|curious(X))=>(creative(X)|funny(X))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(kind(X)&~wise(X))))&
(![X]:((~old(X)&patient(X))<=>old(X)))&
((~curious(alice))<=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((humble(... | ~happy(susan) | [] | null | 0 |
Everyone who is wise is not kind.
Everyone who is not kind is either not creative or kind.
If someone is wise then alice is both humble and wise.
Everyone who is both funny and not generous is either not wise or old.
Everyone who is curious is either not tall or not brave.
If someone is happy then lucy is both not wise... | Lucy is not wise. | entailment | (![X]:(wise(X)=>~kind(X)))&
(![X]:(~kind(X)=>(~creative(X)<~>kind(X))))&
((?[X]:(wise(X)))=>((humble(alice)&wise(alice))))&
(![X]:((funny(X)&~generous(X))=>(~wise(X)<~>old(X))))&
(![X]:(curious(X)=>(~tall(X)<~>~brave(X))))&
((?[X]:(happy(X)))<=>((~wise(lucy)&creative(lucy))))&
((?[X]:((~brave(X)|~humble(X))))=>((curiou... | ~wise(lucy) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3918802186678003105462337
% SZS output start Proof for 3918802186678003105462337
1. ! [X0] : (wise(X0) => ~kind(X0)) [input p0]
2. ! [X0] : (~kind(X0) => (~creative(X0) <~> kind(X0))) [input p1]
8. ! [X0] : (wise(X0) <=> (~kind(X0) <~> ~creative(X0))) [input p7]
25. wise(lucy) [input hypo... | 0 |
Everyone who is both not wise and creative is both not happy and wise and vice versa.
If susan is wise or old then mary is generous or funny and vice versa.
Everyone who is not rich or not kind is either patient or not kind and vice versa.
If paul is both funny and not happy then someone is calm and vice versa.
Everyon... | Paul is not generous. | neutral | (![X]:((~wise(X)&creative(X))<=>(~happy(X)&wise(X))))&
(((wise(susan)|old(susan)))<=>((generous(mary)|funny(mary))))&
(![X]:((~rich(X)|~kind(X))<=>(patient(X)<~>~kind(X))))&
(((funny(paul)&~happy(paul)))<=>(?[X]:(calm(X))))&
(![X]:((brave(X)&strong(X))<=>(brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(~patient(X)&~kind(X)))... | ~generous(paul) | [] | null | 0 |
Everyone who is not quiet or not funny is curious or tall.
Everyone who is not rich is either not old or not quiet and vice versa.
Everyone who is either tall or curious is both not creative and generous and vice versa.
If someone is both tall and not creative then alice is patient or not old and vice versa.
If alice i... | Paul is happy. | neutral | (![X]:((~quiet(X)|~funny(X))=>(curious(X)|tall(X))))&
(![X]:(~rich(X)<=>(~old(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>curious(X))<=>(~creative(X)&generous(X))))&
((?[X]:((tall(X)&~creative(X))))<=>((patient(alice)|~old(alice))))&
((~kind(alice))<=>(?[X]:(~strong(X))))&
(![X]:((creative(X)<~>~happy(X))<=>~calm(X)))&
(((cal... | happy(paul) | [] | null | 0 |
If someone is not brave or calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous and vice versa. If someone is either not wise or not generous then someone is either not strong or not quiet. Everyone who is humble or ... | Susan is not quiet. | contradiction | ((?[X]:((~brave(X)|calm(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))<=>(tall(X)|funny(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|pati... | ~quiet(susan) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5715359381972661140642
% SZS output start Proof for 5715359381972661140642
3. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p2]
4. ? [X0] : (~wise(X0) <~> ~generous(X0)) => ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p3]
7. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(... | 0 |
If susan is not rich or not quiet then someone is either creative or not rich.
If someone is either not generous or funny then someone is not curious or calm and vice versa.
If someone is either kind or not curious then susan is both funny and quiet and vice versa.
Everyone who is both calm and old is both brave and no... | Susan is humble. | contradiction | (((~rich(susan)|~quiet(susan)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((~generous(X)<~>funny(X))))<=>(?[X]:((~curious(X)|calm(X)))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((funny(susan)&quiet(susan))))&
(![X]:((calm(X)&old(X))=>(brave(X)&~humble(X))))&
(![X]:((kind(X)&~rich(X))=>(brave(X)&~brave(X))))&
(((~kind(lu... | humble(susan) | [
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8357825909535868409567907
% SZS output start Proof for 8357825909535868409567907
10. ! [X0] : ((patient(X0) | funny(X0)) <=> (~funny(X0) & patient(X0))) [input p9]
14. ! [X0] : ((~humble(X0) <~> funny(X0)) <=> (~rich(X0) | ~old(X0))) [input p13]
17. ~old(susan) & generous(susan) [input p1... | 0 |
If mary is calm then someone is not quiet.
If someone is either wise or not happy then someone is either not humble or not quiet.
If someone is either old or creative then someone is quiet.
Everyone who is either not humble or patient is either tall or creative and vice versa.
Everyone who is humble or brave is not tal... | Fred is not humble. | entailment | ((calm(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((old(X)<~>creative(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)<~>patient(X))<=>(tall(X)<~>creative(X))))&
(![X]:((humble(X)|brave(X))=>(~tall(X)|~humble(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(patient(X... | ~humble(fred) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1191462867312131133625119
% SZS output start Proof for 1191462867312131133625119
8. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p7]
14. ! [X0] : (strong(X0) <=> (wise(X0) & ~humble(X0))) [input p13]
24. humble(fred) [input hypothesis]
48. ! [X0] : (((~strong... | 0 |
Everyone who is not creative or not kind is either not strong or tall. Everyone who is funny or not rich is not wise. If susan is either not creative or brave then lucy is not tall and vice versa. If john is not humble or creative then mary is both not kind and not humble. Everyone who is either strong or not patient i... | Mary is not patient. | contradiction | (![X]:((~creative(X)|~kind(X))=>(~strong(X)<~>tall(X))))&
(![X]:((funny(X)|~rich(X))=>~wise(X)))&
(((~creative(susan)<~>brave(susan)))<=>(~tall(lucy)))&
(((~humble(john)|creative(john)))=>((~kind(mary)&~humble(mary))))&
(![X]:((strong(X)<~>~patient(X))<=>(~kind(X)<~>~happy(X))))&
(![X]:((~patient(X)&tall(X))=>(generous... | ~patient(mary) | [
"p3",
"p7",
"p10",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 351099912900590778754354
% SZS output start Proof for 351099912900590778754354
4. (creative(john) | ~humble(john)) => (~humble(mary) & ~kind(mary)) [input p3]
8. (~creative(paul) | kind(paul)) <=> (~tall(john) & ~strong(john)) [input p7]
11. (patient(mary) & rich(mary)) <=> (old(john) | c... | 0 |
Everyone who is not quiet is old or calm.
If someone is humble or curious then paul is calm or tall and vice versa.
Everyone who is brave is both not rich and not generous and vice versa.
Everyone who is either not curious or rich is not creative.
Everyone who is both not wise and not calm is both not creative and not ... | Susan is humble. | entailment | (![X]:(~quiet(X)=>(old(X)|calm(X))))&
((?[X]:((humble(X)|curious(X))))<=>((calm(paul)|tall(paul))))&
(![X]:(brave(X)<=>(~rich(X)&~generous(X))))&
(![X]:((~curious(X)<~>rich(X))=>~creative(X)))&
(![X]:((~wise(X)&~calm(X))=>(~creative(X)&~humble(X))))&
(![X]:((old(X)|quiet(X))<=>(~funny(X)&creative(X))))&
(![X]:((humble(... | humble(susan) | [
"p2",
"p3",
"p6",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2104960362553678329405210
% SZS output start Proof for 2104960362553678329405210
3. ! [X0] : (brave(X0) <=> (~generous(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((~curious(X0) <~> rich(X0)) => ~creative(X0)) [input p3]
7. ! [X0] : ((~happy(X0) & humble(X0)) <=> (brave(X0) | generous(X0))) ... | 0 |
If fred is both not patient and not tall then susan is both not tall and not strong. If lucy is curious or not tall then alice is both brave and kind. Everyone who is both quiet and happy is not tall and vice versa. Everyone who is calm or kind is strong. Everyone who is generous or calm is both not creative and kind a... | John is not generous. | neutral | (((~patient(fred)&~tall(fred)))=>((~tall(susan)&~strong(susan))))&
(((curious(lucy)|~tall(lucy)))=>((brave(alice)&kind(alice))))&
(![X]:((quiet(X)&happy(X))<=>~tall(X)))&
(![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((generous(X)|calm(X))<=>(~creative(X)&kind(X))))&
(![X]:((~curious(X)&curious(X))=>~calm(X)))&
((?[X]:(... | ~generous(john) | [] | null | 0 |
If someone is both happy and not humble then someone is either not strong or not quiet and vice versa.
If someone is not generous then alice is both not patient and old.
Everyone who is calm or not happy is patient.
Everyone who is wise or not tall is both wise and not happy and vice versa.
Everyone who is wise is both... | John is not calm. | contradiction | ((?[X]:((happy(X)&~humble(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
((?[X]:(~generous(X)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(X)))&
(![X]:((wise(X)|~tall(X))<=>(wise(X)&~happy(X))))&
(![X]:(wise(X)=>(happy(X)&generous(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X)))... | ~calm(john) | [
"p0",
"p3",
"p4",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1814762150818748602261953
% SZS output start Proof for 1814762150818748602261953
1. ? [X0] : (~humble(X0) & happy(X0)) <=> ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p0]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p3]
5. ! [X0] : (wise(X0) => (generous(X0) & ... | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | John is not calm. | neutral | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | ~calm(john) | [] | null | 0 |
If alice is not curious or not old then someone is both not rich and humble.
Everyone who is both not happy and rich is creative and vice versa.
Everyone who is kind or patient is both tall and old and vice versa.
Everyone who is either not generous or rich is rich and vice versa.
Everyone who is not quiet is not curio... | John is not quiet. | contradiction | (((~curious(alice)|~old(alice)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>creative(X)))&
(![X]:((kind(X)|patient(X))<=>(tall(X)&old(X))))&
(![X]:((~generous(X)<~>rich(X))<=>rich(X)))&
(![X]:(~quiet(X)=>~curious(X)))&
((?[X]:((old(X)|brave(X))))<=>(~creative(paul)))&
((?[X]:((kind(X)&~funny(X))))<=>... | ~quiet(john) | [
"p2",
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2760569462260082637548211
% SZS output start Proof for 2760569462260082637548211
3. ! [X0] : ((patient(X0) | kind(X0)) <=> (old(X0) & tall(X0))) [input p2]
5. ! [X0] : (~quiet(X0) => ~curious(X0)) [input p4]
9. ! [X0] : (kind(X0) <=> (happy(X0) | ~happy(X0))) [input p8]
13. ! [X0] : ((wis... | 0 |
Everyone who is either not funny or not humble is both quiet and not curious. Everyone who is not patient or not rich is both not strong and strong and vice versa. If someone is both patient and not brave then paul is either not funny or not brave and vice versa. Everyone who is funny or not kind is calm and vice versa... | Mary is not generous. | neutral | (![X]:((~funny(X)<~>~humble(X))=>(quiet(X)&~curious(X))))&
(![X]:((~patient(X)|~rich(X))<=>(~strong(X)&strong(X))))&
((?[X]:((patient(X)&~brave(X))))<=>((~funny(paul)<~>~brave(paul))))&
(![X]:((funny(X)|~kind(X))<=>calm(X)))&
(![X]:((~old(X)<~>patient(X))<=>~rich(X)))&
(![X]:((kind(X)&~calm(X))<=>(wise(X)&humble(X))))&... | ~generous(mary) | [] | null | 0 |
If someone is generous or patient then someone is generous. If someone is not calm or patient then susan is generous and vice versa. If mary is strong then someone is not funny or not strong and vice versa. Everyone who is either not funny or strong is both wise and old and vice versa. If someone is both not kind and q... | Alice is quiet. | contradiction | ((?[X]:((generous(X)|patient(X))))=>(?[X]:(generous(X))))&
((?[X]:((~calm(X)|patient(X))))<=>(generous(susan)))&
((strong(mary))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:((~funny(X)<~>strong(X))<=>(wise(X)&old(X))))&
((?[X]:((~kind(X)&quiet(X))))=>((wise(fred)&brave(fred))))&
(![X]:((~patient(X)<~>strong(X))=>(~brave(... | quiet(alice) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4554892717544703915838891
% SZS output start Proof for 4554892717544703915838891
16. ? [X0] : (humble(X0) | ~wise(X0)) => ~quiet(alice) [input p15]
21. ? [X0] : humble(X0) [input p20]
22. quiet(alice) [input hypothesis]
35. ~quiet(alice) | ! [X0] : (~humble(X0) & wise(X0)) [ennf transform... | 0 |
Everyone who is both strong and not creative is generous or not quiet. If someone is funny or not generous then john is both strong and not creative. If susan is calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous a... | John is not humble. | contradiction | (![X]:((strong(X)&~creative(X))=>(generous(X)|~quiet(X))))&
((?[X]:((funny(X)|~generous(X))))=>((strong(john)&~creative(john))))&
((calm(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X... | ~humble(john) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 703016195701958440215292
% SZS output start Proof for 703016195701958440215292
1. ! [X0] : ((~creative(X0) & strong(X0)) => (~quiet(X0) | generous(X0))) [input p0]
2. ? [X0] : (~generous(X0) | funny(X0)) => (~creative(john) & strong(john)) [input p1]
5. ! [X0] : (~generous(X0) <=> (genero... | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Mary is not brave. | contradiction | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | ~brave(mary) | [
"p2",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 672967916246453455661234
% SZS output start Proof for 672967916246453455661234
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
8. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p7]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [in... | 0 |
If mary is not calm or happy then alice is not calm and vice versa.
Everyone who is happy is both not curious and not creative and vice versa.
Everyone who is both strong and creative is wise.
Everyone who is rich is not patient.
Everyone who is both not humble and not kind is not happy.
Everyone who is both curious an... | Paul is not patient. | entailment | (((~calm(mary)|happy(mary)))<=>(~calm(alice)))&
(![X]:(happy(X)<=>(~curious(X)&~creative(X))))&
(![X]:((strong(X)&creative(X))=>wise(X)))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~humble(X)&~kind(X))=>~happy(X)))&
(![X]:((curious(X)&~wise(X))<=>~brave(X)))&
((?[X]:((~funny(X)<~>~creative(X))))=>((~curious(paul)&~calm(pa... | ~patient(paul) | [
"p3",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3879323155526524514635100
% SZS output start Proof for 3879323155526524514635100
4. ! [X0] : (rich(X0) => ~patient(X0)) [input p3]
9. ! [X0] : (~strong(X0) => rich(X0)) [input p8]
12. ! [X0] : (~strong(X0) <=> (strong(X0) | ~calm(X0))) [input p11]
25. patient(paul) [input hypothesis]
35. ... | 0 |
Everyone who is humble or not happy is either not happy or not generous and vice versa. If lucy is strong or quiet then someone is creative and vice versa. Everyone who is curious or not happy is either generous or not generous. Everyone who is both quiet and not strong is either not calm or funny and vice versa. Every... | Paul is kind. | neutral | (![X]:((humble(X)|~happy(X))<=>(~happy(X)<~>~generous(X))))&
(((strong(lucy)|quiet(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~happy(X))=>(generous(X)<~>~generous(X))))&
(![X]:((quiet(X)&~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>bra... | kind(paul) | [] | null | 0 |
Everyone who is both wise and not patient is either tall or not wise. If someone is curious then john is both not humble and not curious and vice versa. If someone is either funny or not old then someone is happy and vice versa. Everyone who is not strong or patient is either not patient or humble. Everyone who is eith... | Alice is brave. | neutral | (![X]:((wise(X)&~patient(X))=>(tall(X)<~>~wise(X))))&
((?[X]:(curious(X)))<=>((~humble(john)&~curious(john))))&
((?[X]:((funny(X)<~>~old(X))))<=>(?[X]:(happy(X))))&
(![X]:((~strong(X)|patient(X))=>(~patient(X)<~>humble(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~quiet(X)|humble(X))))&
((?[X]:((rich(X)|happy(X))))=>((~c... | brave(alice) | [] | null | 0 |
Everyone who is either not quiet or not happy is both strong and not quiet.
If susan is both not calm and not brave then susan is either wise or old.
Everyone who is brave or not curious is both brave and not curious and vice versa.
Everyone who is both not old and tall is either not rich or not funny and vice versa.
I... | Paul is not strong. | contradiction | (![X]:((~quiet(X)<~>~happy(X))=>(strong(X)&~quiet(X))))&
(((~calm(susan)&~brave(susan)))=>((wise(susan)<~>old(susan))))&
(![X]:((brave(X)|~curious(X))<=>(brave(X)&~curious(X))))&
(![X]:((~old(X)&tall(X))<=>(~rich(X)<~>~funny(X))))&
(((generous(fred)<~>~generous(fred)))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((~strong(X)... | ~strong(paul) | [
"p8",
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7391718508876283031132985
% SZS output start Proof for 7391718508876283031132985
9. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : ((~strong(X0) | happy(X0)) => (funny(X0) & quiet(X0))) [input p9]
15. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> ... | 0 |
Everyone who is both patient and not generous is not tall.
Everyone who is humble is both tall and not funny.
Everyone who is not quiet or old is not quiet.
Everyone who is either kind or patient is wise.
Everyone who is both not quiet and not rich is not humble or not quiet and vice versa.
If someone is not kind then ... | Fred is not generous. | contradiction | (![X]:((patient(X)&~generous(X))=>~tall(X)))&
(![X]:(humble(X)=>(tall(X)&~funny(X))))&
(![X]:((~quiet(X)|old(X))=>~quiet(X)))&
(![X]:((kind(X)<~>patient(X))=>wise(X)))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)|~quiet(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~humble(X)<~>~brave(X))<=>(~humble(X)<~>wise(... | ~generous(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4229990436903163160587374
% SZS output start Proof for 4229990436903163160587374
9. ! [X0] : ((~generous(X0) & wise(X0)) <=> (~generous(X0) <~> wise(X0))) [input p8]
22. ~generous(fred) [input hypothesis]
46. ! [X0] : (((~generous(X0) & wise(X0)) | ((~generous(X0) | ~wise(X0)) & (wise(X0)... | 0 |
If john is funny or tall then someone is not kind and vice versa. If someone is either tall or not curious then susan is strong or generous and vice versa. Everyone who is either humble or not old is either happy or quiet and vice versa. If someone is not kind or kind then susan is quiet or patient and vice versa. Ever... | Susan is not wise. | neutral | (((funny(john)|tall(john)))<=>(?[X]:(~kind(X))))&
((?[X]:((tall(X)<~>~curious(X))))<=>((strong(susan)|generous(susan))))&
(![X]:((humble(X)<~>~old(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((~kind(X)|kind(X))))<=>((quiet(susan)|patient(susan))))&
(![X]:((happy(X)<~>generous(X))<=>(calm(X)|rich(X))))&
(![X]:(happy(X)<=>(cur... | ~wise(susan) | [] | null | 0 |
Everyone who is both not funny and not curious is not generous. Everyone who is not creative is curious. If someone is not tall then alice is both wise and generous and vice versa. If lucy is not patient or calm then someone is both strong and not calm and vice versa. Everyone who is either curious or not creative is q... | Alice is not creative. | contradiction | (![X]:((~funny(X)&~curious(X))=>~generous(X)))&
(![X]:(~creative(X)=>curious(X)))&
((?[X]:(~tall(X)))<=>((wise(alice)&generous(alice))))&
(((~patient(lucy)|calm(lucy)))<=>(?[X]:((strong(X)&~calm(X)))))&
(![X]:((curious(X)<~>~creative(X))<=>(quiet(X)|creative(X))))&
(((~calm(john)<~>brave(john)))=>(?[X]:((brave(X)&~quie... | ~creative(alice) | [
"p1",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 452040760575473329215980
% SZS output start Proof for 452040760575473329215980
2. ! [X0] : (~creative(X0) => curious(X0)) [input p1]
5. ! [X0] : ((curious(X0) <~> ~creative(X0)) <=> (creative(X0) | quiet(X0))) [input p4]
9. ! [X0] : (~strong(X0) <=> (happy(X0) & ~funny(X0))) [input p8]
12... | 0 |
If someone is either funny or rich then someone is either not humble or not curious and vice versa. Everyone who is both patient and wise is either calm or not quiet and vice versa. If someone is rich or wise then lucy is not patient or not wise. If susan is both not brave and curious then alice is both not quiet and n... | Mary is wise. | entailment | ((?[X]:((funny(X)<~>rich(X))))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((patient(X)&wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:((rich(X)|wise(X))))=>((~patient(lucy)|~wise(lucy))))&
(((~brave(susan)&curious(susan)))=>((~quiet(alice)&~brave(alice))))&
(![X]:((~generous(X)<~>~curious(X))=>(strong(X)<~>~quiet(X))))&... | wise(mary) | [
"p1",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4087710698779045050161865
% SZS output start Proof for 4087710698779045050161865
2. ! [X0] : ((wise(X0) & patient(X0)) <=> (calm(X0) <~> ~quiet(X0))) [input p1]
8. ! [X0] : (~tall(X0) <=> (calm(X0) <~> patient(X0))) [input p7]
14. ! [X0] : (~tall(X0) <=> (~calm(X0) & wise(X0))) [input p13... | 0 |
Everyone who is not quiet or not tall is either creative or not quiet.
If john is both not patient and not creative then someone is calm or humble.
Everyone who is either not strong or wise is tall and vice versa.
Everyone who is both not rich and not patient is both not wise and not calm and vice versa.
If paul is bot... | Alice is not strong. | contradiction | (![X]:((~quiet(X)|~tall(X))=>(creative(X)<~>~quiet(X))))&
(((~patient(john)&~creative(john)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~strong(X)<~>wise(X))<=>tall(X)))&
(![X]:((~rich(X)&~patient(X))<=>(~wise(X)&~calm(X))))&
(((calm(paul)&creative(paul)))<=>(?[X]:((happy(X)|quiet(X)))))&
((rich(fred))=>(?[X]:((generous(... | ~strong(alice) | [
"p3",
"p6",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 578423109459865929544551
% SZS output start Proof for 578423109459865929544551
4. ! [X0] : ((~patient(X0) & ~rich(X0)) <=> (~calm(X0) & ~wise(X0))) [input p3]
7. ! [X0] : (curious(X0) => (~curious(X0) <~> strong(X0))) [input p6]
9. ! [X0] : ((humble(X0) & calm(X0)) <=> (~strong(X0) | crea... | 0 |
If alice is funny then alice is not rich.
Everyone who is generous is both curious and funny.
Everyone who is generous is both not tall and quiet and vice versa.
If someone is both funny and not wise then someone is funny.
Everyone who is kind is not creative or happy and vice versa.
If someone is both curious and not ... | Alice is generous. | neutral | ((funny(alice))=>(~rich(alice)))&
(![X]:(generous(X)=>(curious(X)&funny(X))))&
(![X]:(generous(X)<=>(~tall(X)&quiet(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:(funny(X))))&
(![X]:(kind(X)<=>(~creative(X)|happy(X))))&
((?[X]:((curious(X)&~creative(X))))=>((wise(john)<~>~generous(john))))&
((?[X]:(~funny(X)))=>(?[X]:(ki... | generous(alice) | [] | null | 0 |
Everyone who is both not strong and not old is either tall or funny and vice versa.
If mary is both not rich and kind then someone is not tall or not kind.
Everyone who is tall is either generous or wise.
Everyone who is either not humble or not rich is happy or funny and vice versa.
If someone is either old or not wis... | Paul is wise. | neutral | (![X]:((~strong(X)&~old(X))<=>(tall(X)<~>funny(X))))&
(((~rich(mary)&kind(mary)))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:(tall(X)=>(generous(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(happy(X)|funny(X))))&
((?[X]:((old(X)<~>~wise(X))))=>((creative(paul)|wise(paul))))&
(![X]:(generous(X)=>(~strong(X)&creative(X))... | wise(paul) | [] | null | 0 |
If paul is not creative then mary is quiet or wise.
Everyone who is either happy or quiet is both not creative and not brave and vice versa.
Everyone who is either not old or humble is both not calm and not brave.
If lucy is not curious or wise then someone is both not funny and wise.
If someone is either tall or brave... | John is not humble. | entailment | ((~creative(paul))=>((quiet(mary)|wise(mary))))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~old(X)<~>humble(X))=>(~calm(X)&~brave(X))))&
(((~curious(lucy)|wise(lucy)))=>(?[X]:((~funny(X)&wise(X)))))&
((?[X]:((tall(X)<~>brave(X))))=>(patient(john)))&
(![X]:((~happy(X)<~>~quiet(X))<=>(rich(X)|~ri... | ~humble(john) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5939748723383565711581132
% SZS output start Proof for 5939748723383565711581132
2. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~brave(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((~old(X0) <~> humble(X0)) => (~brave(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> ... | 0 |
If lucy is not rich then someone is generous and vice versa.
Everyone who is creative or patient is brave or tall and vice versa.
If fred is either not wise or patient then mary is either not brave or not quiet.
Everyone who is not kind is either old or calm.
Everyone who is not happy or curious is quiet and vice versa... | Paul is old. | entailment | ((~rich(lucy))<=>(?[X]:(generous(X))))&
(![X]:((creative(X)|patient(X))<=>(brave(X)|tall(X))))&
(((~wise(fred)<~>patient(fred)))=>((~brave(mary)<~>~quiet(mary))))&
(![X]:(~kind(X)=>(old(X)<~>calm(X))))&
(![X]:((~happy(X)|curious(X))<=>quiet(X)))&
(((curious(alice)<~>calm(alice)))<=>((~brave(john)<~>funny(john))))&
((?[... | old(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4171907069392195151181605
% SZS output start Proof for 4171907069392195151181605
10. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (quiet(X0) & old(X0))) [input p9]
24. ~old(paul) [input hypothesis]
49. ! [X0] : ((((~wise(X0) | wise(X0)) & (wise(X0) | ~wise(X0))) | (~quiet(X0) | ~old(X0))) & ((q... | 0 |
If someone is either rich or strong then susan is either creative or not strong.
If someone is both not brave and not funny then susan is not creative and vice versa.
If someone is not calm or generous then alice is both not curious and creative and vice versa.
Everyone who is not curious is not strong and vice versa.
... | Fred is not kind. | neutral | ((?[X]:((rich(X)<~>strong(X))))=>((creative(susan)<~>~strong(susan))))&
((?[X]:((~brave(X)&~funny(X))))<=>(~creative(susan)))&
((?[X]:((~calm(X)|generous(X))))<=>((~curious(alice)&creative(alice))))&
(![X]:(~curious(X)<=>~strong(X)))&
((~wise(lucy))=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((~calm(X)&calm(X))=>(quiet(X)&~ri... | ~kind(fred) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not humble and humble and vice versa. If someone is not brave then mary is either creative or strong and vice versa. Everyone who is both strong and calm is not happy and vice versa.... | Fred is not humble. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)&humble(X))))&
((?[X]:(~brave(X)))<=>((creative(mary)<~>strong(mary))))&
(![X]:((strong(X)&calm(X))<=>~happy(X)))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:... | ~humble(fred) | [] | null | 0 |
If fred is wise then someone is both not old and calm and vice versa.
If someone is both creative and old then mary is either patient or not calm.
Everyone who is both not generous and calm is not tall or not funny.
Everyone who is kind or not creative is creative or not brave and vice versa.
If alice is not tall then ... | Alice is humble. | neutral | ((wise(fred))<=>(?[X]:((~old(X)&calm(X)))))&
((?[X]:((creative(X)&old(X))))=>((patient(mary)<~>~calm(mary))))&
(![X]:((~generous(X)&calm(X))=>(~tall(X)|~funny(X))))&
(![X]:((kind(X)|~creative(X))<=>(creative(X)|~brave(X))))&
((~tall(alice))<=>(?[X]:((quiet(X)&calm(X)))))&
(![X]:((calm(X)<~>~calm(X))=>(kind(X)<~>~rich(X... | humble(alice) | [] | null | 0 |
If someone is not generous then mary is both happy and strong.
If someone is either patient or rich then someone is calm or happy and vice versa.
Everyone who is not happy or calm is either humble or wise and vice versa.
Everyone who is not happy is not old or not quiet and vice versa.
Everyone who is kind or not curio... | Lucy is not old. | neutral | ((?[X]:(~generous(X)))=>((happy(mary)&strong(mary))))&
((?[X]:((patient(X)<~>rich(X))))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~happy(X)|calm(X))<=>(humble(X)<~>wise(X))))&
(![X]:(~happy(X)<=>(~old(X)|~quiet(X))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X))))&
((brave(mary))<=>((wise(mary)|~tall(mary))))&
((?... | ~old(lucy) | [] | null | 0 |
If fred is both strong and creative then someone is not quiet and vice versa. Everyone who is not tall is both not tall and not happy and vice versa. Everyone who is either not strong or not generous is old or not brave. If paul is either not wise or patient then someone is either old or not generous and vice versa. Ev... | Lucy is curious. | entailment | (((strong(fred)&creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~tall(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(old(X)|~brave(X))))&
(((~wise(paul)<~>patient(paul)))<=>(?[X]:((old(X)<~>~generous(X)))))&
(![X]:((~humble(X)&kind(X))=>(calm(X)<~>~kind(X))))&
(((generous(alice)|calm(alice)))=>((~tall... | curious(lucy) | [
"p0",
"p1",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5132086385445204375639923
% SZS output start Proof for 5132086385445204375639923
1. (creative(fred) & strong(fred)) <=> ? [X0] : ~quiet(X0) [input p0]
2. ! [X0] : (~tall(X0) <=> (~happy(X0) & ~tall(X0))) [input p1]
7. ! [X0] : ((quiet(X0) | wise(X0)) <=> (quiet(X0) <~> ~happy(X0))) [input... | 0 |
Everyone who is rich or not generous is curious or kind and vice versa.
Everyone who is either not curious or not creative is both not brave and tall.
Everyone who is either old or not patient is both not funny and rich.
Everyone who is either not strong or tall is either not curious or strong.
If someone is humble the... | Mary is not tall. | contradiction | (![X]:((rich(X)|~generous(X))<=>(curious(X)|kind(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~brave(X)&tall(X))))&
(![X]:((old(X)<~>~patient(X))=>(~funny(X)&rich(X))))&
(![X]:((~strong(X)<~>tall(X))=>(~curious(X)<~>strong(X))))&
((?[X]:(humble(X)))=>((strong(lucy)&curious(lucy))))&
(((~curious(susan)|~wise(susan)))<=>... | ~tall(mary) | [
"p1",
"p3",
"p12",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1327797217620813074898763
% SZS output start Proof for 1327797217620813074898763
2. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (tall(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~curious(X0) <~> strong(X0))) [input p3]
13. ? [X0] : tall(X0) => (~creative(ma... | 0 |
Everyone who is either humble or not tall is both old and kind and vice versa.
If susan is generous or not brave then susan is generous or not tall and vice versa.
Everyone who is rich is both calm and not strong.
If someone is strong then someone is wise and vice versa.
Everyone who is both wise and creative is either... | Alice is not happy. | contradiction | (![X]:((humble(X)<~>~tall(X))<=>(old(X)&kind(X))))&
(((generous(susan)|~brave(susan)))<=>((generous(susan)|~tall(susan))))&
(![X]:(rich(X)=>(calm(X)&~strong(X))))&
((?[X]:(strong(X)))<=>(?[X]:(wise(X))))&
(![X]:((wise(X)&creative(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(~curious(X)=>old(X)))&
(![X]:((wise(X)&tall(X))<=>(... | ~happy(alice) | [
"p2",
"p5",
"p6",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1498357201644692328506838
% SZS output start Proof for 1498357201644692328506838
3. ! [X0] : (rich(X0) => (~strong(X0) & calm(X0))) [input p2]
6. ! [X0] : (~curious(X0) => old(X0)) [input p5]
7. ! [X0] : ((tall(X0) & wise(X0)) <=> (curious(X0) | ~humble(X0))) [input p6]
11. ! [X0] : ((ric... | 0 |
Everyone who is not patient is patient or creative and vice versa.
Everyone who is either not generous or humble is both curious and not brave and vice versa.
If alice is funny or not wise then someone is both calm and creative and vice versa.
Everyone who is humble or funny is both strong and not old.
If someone is no... | Lucy is humble. | entailment | (![X]:(~patient(X)<=>(patient(X)|creative(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(curious(X)&~brave(X))))&
(((funny(alice)|~wise(alice)))<=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((humble(X)|funny(X))=>(strong(X)&~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~funny(X)&~kind(X)))))&
(((~kind(john)<~>kind(john)))<=>((bra... | humble(lucy) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 329108260688158173475035
% SZS output start Proof for 329108260688158173475035
1. ! [X0] : (~patient(X0) <=> (creative(X0) | patient(X0))) [input p0]
12. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (creative(X0) <~> ~rich(X0))) [input p11]
25. ~humble(lucy) [input hypothesis]
36. ! [X0] : ((... | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Paul is humble. | entailment | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | humble(paul) | [
"p2",
"p4",
"p7",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1469478525284935098917639
% SZS output start Proof for 1469478525284935098917639
3. ? [X0] : rich(X0) <=> happy(susan) [input p2]
5. ! [X0] : ((~humble(X0) | ~wise(X0)) => (rich(X0) | ~creative(X0))) [input p4]
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0)))... | 0 |
Everyone who is either not creative or kind is both kind and creative and vice versa.
If someone is both brave and patient then someone is either not curious or not rich and vice versa.
If someone is tall then fred is not curious and vice versa.
Everyone who is both quiet and not patient is funny.
Everyone who is eithe... | John is not kind. | contradiction | (![X]:((~creative(X)<~>kind(X))<=>(kind(X)&creative(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((~curious(X)<~>~rich(X)))))&
((?[X]:(tall(X)))<=>(~curious(fred)))&
(![X]:((quiet(X)&~patient(X))=>funny(X)))&
(![X]:((~kind(X)<~>~creative(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(tall(alice)))... | ~kind(john) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3922845025315584854665799
% SZS output start Proof for 3922845025315584854665799
1. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (creative(X0) & kind(X0))) [input p0]
10. (quiet(john) & ~patient(john)) <=> (~generous(john) | creative(john)) [input p9]
13. ! [X0] : (patient(X0) <=> (~creativ... | 0 |
Everyone who is both strong and not old is strong or quiet. If someone is either strong or not wise then mary is creative. Everyone who is both funny and strong is curious or not rich and vice versa. If alice is wise then someone is rich or not quiet. Everyone who is either kind or not old is either curious or not wise... | Lucy is funny. | entailment | (![X]:((strong(X)&~old(X))=>(strong(X)|quiet(X))))&
((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]... | funny(lucy) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2589451745919799939980812
% SZS output start Proof for 2589451745919799939980812
3. ! [X0] : ((strong(X0) & funny(X0)) <=> (~rich(X0) | curious(X0))) [input p2]
12. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~brave(X0) & ~tall(X0))) [input p11]
13. ! [X0] : (tall(X0) <=> (quiet(X0) |... | 0 |
If someone is not patient or not kind then someone is quiet or not strong and vice versa. Everyone who is not funny is both not generous and strong. If paul is either happy or not wise then someone is calm or old. Everyone who is either brave or generous is both not funny and curious. Everyone who is calm or not calm i... | Mary is creative. | contradiction | ((?[X]:((~patient(X)|~kind(X))))<=>(?[X]:((quiet(X)|~strong(X)))))&
(![X]:(~funny(X)=>(~generous(X)&strong(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((calm(X)|old(X)))))&
(![X]:((brave(X)<~>generous(X))=>(~funny(X)&curious(X))))&
(![X]:((calm(X)|~calm(X))=>(~old(X)<~>calm(X))))&
((?[X]:((~humble(X)&generous(X))))<=>... | creative(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 917505692976280549478624
% SZS output start Proof for 917505692976280549478624
9. ! [X0] : ((~creative(X0) & old(X0)) <=> (creative(X0) | ~quiet(X0))) [input p8]
23. creative(mary) [input hypothesis]
58. ! [X0] : (((~creative(X0) & old(X0)) | (~creative(X0) & quiet(X0))) & ((creative(X0) ... | 0 |
Everyone who is creative is either old or brave.
Everyone who is both brave and quiet is both rich and not humble and vice versa.
Everyone who is not brave is both funny and not humble.
If someone is either not tall or not wise then susan is both happy and old and vice versa.
If paul is either not brave or generous the... | Lucy is not brave. | contradiction | (![X]:(creative(X)=>(old(X)<~>brave(X))))&
(![X]:((brave(X)&quiet(X))<=>(rich(X)&~humble(X))))&
(![X]:(~brave(X)=>(funny(X)&~humble(X))))&
((?[X]:((~tall(X)<~>~wise(X))))<=>((happy(susan)&old(susan))))&
(((~brave(paul)<~>generous(paul)))<=>((~strong(mary)<~>strong(mary))))&
((?[X]:((generous(X)<~>creative(X))))<=>(?[X]... | ~brave(lucy) | [
"p1",
"p2",
"p3",
"p8",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 467550194545043418102221
% SZS output start Proof for 467550194545043418102221
2. ! [X0] : ((quiet(X0) & brave(X0)) <=> (~humble(X0) & rich(X0))) [input p1]
3. ! [X0] : (~brave(X0) => (~humble(X0) & funny(X0))) [input p2]
4. ? [X0] : (~tall(X0) <~> ~wise(X0)) <=> (old(susan) & happy(susan... | 0 |
Everyone who is either calm or strong is not rich.
If someone is both curious and not generous then someone is either not strong or calm.
If someone is both strong and wise then someone is both curious and not funny.
Everyone who is either not kind or happy is creative or not wise and vice versa.
If susan is quiet then... | Susan is not kind. | neutral | (![X]:((calm(X)<~>strong(X))=>~rich(X)))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((curious(X)&~funny(X)))))&
(![X]:((~kind(X)<~>happy(X))<=>(creative(X)|~wise(X))))&
((quiet(susan))=>(?[X]:((~funny(X)&~patient(X)))))&
((?[X]:(~strong(X)))<=>((~calm(al... | ~kind(susan) | [] | null | 0 |
Everyone who is not strong is both not happy and not wise and vice versa.
Everyone who is either not kind or creative is either not curious or rich and vice versa.
Everyone who is not calm or wise is kind and vice versa.
Everyone who is both generous and not rich is generous and vice versa.
Everyone who is either rich ... | Mary is not calm. | entailment | (![X]:(~strong(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~kind(X)<~>creative(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((~calm(X)|wise(X))<=>kind(X)))&
(![X]:((generous(X)&~rich(X))<=>generous(X)))&
(![X]:((rich(X)<~>~rich(X))=>(tall(X)&~wise(X))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
((?[X]:((ri... | ~calm(mary) | [
"p0",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7884512767898971941196606
% SZS output start Proof for 7884512767898971941196606
1. ! [X0] : (~strong(X0) <=> (~wise(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~wise(X0) & tall(X0))) [input p4]
7. ? [X0] : (happy(X0) | rich(X0)) <=> (~tall(mary) & ~funny(mary)... | 0 |
Everyone who is tall is patient or funny. If someone is humble or patient then susan is both not creative and not calm. Everyone who is not brave is calm or curious and vice versa. Everyone who is calm or rich is either not tall or not calm. Everyone who is quiet or not curious is not humble or not brave. Everyone who ... | Lucy is not patient. | neutral | (![X]:(tall(X)=>(patient(X)|funny(X))))&
((?[X]:((humble(X)|patient(X))))=>((~creative(susan)&~calm(susan))))&
(![X]:(~brave(X)<=>(calm(X)|curious(X))))&
(![X]:((calm(X)|rich(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((quiet(X)|~curious(X))=>(~humble(X)|~brave(X))))&
(![X]:((kind(X)&strong(X))<=>strong(X)))&
((?[X]:((creativ... | ~patient(lucy) | [] | null | 0 |
Everyone who is both not curious and creative is not old or not kind.
If john is both not kind and generous then someone is either kind or curious.
Everyone who is either not tall or not creative is either old or happy.
If susan is not strong or not funny then mary is not quiet or happy.
Everyone who is both tall and n... | Susan is humble. | entailment | (![X]:((~curious(X)&creative(X))=>(~old(X)|~kind(X))))&
(((~kind(john)&generous(john)))=>(?[X]:((kind(X)<~>curious(X)))))&
(![X]:((~tall(X)<~>~creative(X))=>(old(X)<~>happy(X))))&
(((~strong(susan)|~funny(susan)))=>((~quiet(mary)|happy(mary))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)<~>~strong(X))))&
(((patient(mary)&~... | humble(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 917144190162590472631372
% SZS output start Proof for 917144190162590472631372
18. humble(susan) [input p17]
25. ~humble(susan) [input hypothesis]
129. humble(susan) [cnf transformation 18]
139. ~humble(susan) [cnf transformation 25]
329. $false [subsumption resolution 139,129]
% SZS outp... | 0 |
Everyone who is not quiet is either quiet or not strong and vice versa.
Everyone who is either calm or not calm is old.
Everyone who is curious or not creative is not funny and vice versa.
Everyone who is either wise or not curious is both kind and not old.
If john is not brave or patient then lucy is not curious.
Ever... | Paul is funny. | contradiction | (![X]:(~quiet(X)<=>(quiet(X)<~>~strong(X))))&
(![X]:((calm(X)<~>~calm(X))=>old(X)))&
(![X]:((curious(X)|~creative(X))<=>~funny(X)))&
(![X]:((wise(X)<~>~curious(X))=>(kind(X)&~old(X))))&
(((~brave(john)|patient(john)))=>(~curious(lucy)))&
(![X]:((~curious(X)<~>~old(X))<=>(~creative(X)<~>strong(X))))&
(((~happy(alice)&pa... | funny(paul) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2190883046660717948224083
% SZS output start Proof for 2190883046660717948224083
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> ~calm(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~creative(X0) | curious(X0)) <=> ~funny(X0)) [input p2]
6. ! [X0]... | 0 |
Everyone who is either calm or curious is not curious. Everyone who is either not funny or not strong is both curious and funny and vice versa. If someone is creative or kind then someone is not patient or not strong and vice versa. If someone is either brave or not creative then mary is either patient or not rich and ... | Mary is not humble. | entailment | (![X]:((calm(X)<~>curious(X))=>~curious(X)))&
(![X]:((~funny(X)<~>~strong(X))<=>(curious(X)&funny(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:((brave(X)<~>~creative(X))))<=>((patient(mary)<~>~rich(mary))))&
(![X]:((generous(X)&~quiet(X))=>(~patient(X)&rich(X))))&
((?[X]:((generou... | ~humble(mary) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3976495359662123274357545
% SZS output start Proof for 3976495359662123274357545
1. ! [X0] : ((calm(X0) <~> curious(X0)) => ~curious(X0)) [input p0]
6. ? [X0] : (generous(X0) <~> humble(X0)) <=> (brave(alice) & curious(alice)) [input p5]
9. ? [X0] : generous(X0) <=> (~humble(mary) & old(m... | 0 |
If john is patient then someone is not brave and vice versa.
Everyone who is wise or kind is both not quiet and curious and vice versa.
Everyone who is not old or not kind is not happy.
If someone is both not strong and not curious then paul is either not humble or not happy.
Everyone who is strong or curious is both b... | Susan is not brave. | contradiction | ((patient(john))<=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|kind(X))<=>(~quiet(X)&curious(X))))&
(![X]:((~old(X)|~kind(X))=>~happy(X)))&
((?[X]:((~strong(X)&~curious(X))))=>((~humble(paul)<~>~happy(paul))))&
(![X]:((strong(X)|curious(X))=>(brave(X)&creative(X))))&
(((funny(lucy)<~>tall(lucy)))<=>(?[X]:((quiet(X)<~>patient(... | ~brave(susan) | [
"p1",
"p4",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6512834988909888203973673
% SZS output start Proof for 6512834988909888203973673
2. ! [X0] : ((kind(X0) | wise(X0)) <=> (curious(X0) & ~quiet(X0))) [input p1]
5. ! [X0] : ((curious(X0) | strong(X0)) => (creative(X0) & brave(X0))) [input p4]
10. ! [X0] : (humble(X0) => (~curious(X0) <~> ~q... | 0 |
Everyone who is patient or not patient is either not calm or old.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy is quiet.
Everyone ... | Mary is not strong. | contradiction | (![X]:((patient(X)|~patient(X))=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | ~strong(mary) | [
"p1",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7268767324270274355965399
% SZS output start Proof for 7268767324270274355965399
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
7. ! [X0] : ((~funny(X0) | old(X0)) => ~tall(X0)) [input p6]
15. ? [X0] : ~strong(X0) => ? [X0] : (~curious(X0) & tall(X0)) [input ... | 0 |
Everyone who is not curious or old is both not calm and not old and vice versa.
If someone is not happy or curious then someone is not curious.
If john is either patient or creative then john is old or humble and vice versa.
Everyone who is either not brave or not funny is not wise.
Everyone who is not kind is not tall... | Alice is tall. | contradiction | (![X]:((~curious(X)|old(X))<=>(~calm(X)&~old(X))))&
((?[X]:((~happy(X)|curious(X))))=>(?[X]:(~curious(X))))&
(((patient(john)<~>creative(john)))<=>((old(john)|humble(john))))&
(![X]:((~brave(X)<~>~funny(X))=>~wise(X)))&
(![X]:(~kind(X)=>(~tall(X)|old(X))))&
(![X]:(tall(X)<=>humble(X)))&
(![X]:((~generous(X)|creative(X)... | tall(alice) | [
"p0",
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 398871751340105262120842
% SZS output start Proof for 398871751340105262120842
1. ! [X0] : ((old(X0) | ~curious(X0)) <=> (~old(X0) & ~calm(X0))) [input p0]
5. ! [X0] : (~kind(X0) => (old(X0) | ~tall(X0))) [input p4]
6. ! [X0] : (tall(X0) <=> humble(X0)) [input p5]
14. ? [X0] : (funny(X0) ... | 0 |
Everyone who is either brave or not brave is happy. If john is not funny or rich then someone is either funny or not humble. If someone is either not generous or wise then someone is both kind and calm. Everyone who is both generous and not creative is strong or not funny and vice versa. Everyone who is both not old an... | Mary is not patient. | neutral | (![X]:((brave(X)<~>~brave(X))=>happy(X)))&
(((~funny(john)|rich(john)))=>(?[X]:((funny(X)<~>~humble(X)))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((generous(X)&~creative(X))<=>(strong(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((s... | ~patient(mary) | [] | null | 0 |
If fred is both quiet and not humble then susan is calm or old and vice versa.
If someone is not patient or not strong then mary is both wise and strong and vice versa.
Everyone who is wise or kind is not calm or not old and vice versa.
If mary is generous then fred is either calm or not rich.
If someone is both strong... | Alice is not brave. | entailment | (((quiet(fred)&~humble(fred)))<=>((calm(susan)|old(susan))))&
((?[X]:((~patient(X)|~strong(X))))<=>((wise(mary)&strong(mary))))&
(![X]:((wise(X)|kind(X))<=>(~calm(X)|~old(X))))&
((generous(mary))=>((calm(fred)<~>~rich(fred))))&
((?[X]:((strong(X)&~creative(X))))<=>((~humble(john)&~curious(john))))&
((?[X]:(creative(X))... | ~brave(alice) | [
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4867346531221942450126454
% SZS output start Proof for 4867346531221942450126454
9. ? [X0] : tall(X0) => (~brave(alice) & ~old(alice)) [input p8]
11. (strong(lucy) | humble(lucy)) <=> (~humble(fred) & tall(fred)) [input p10]
21. strong(lucy) [input p20]
25. brave(alice) [input hypothesis]... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. If john is rich then someone is not creative or not brave and vice versa. Everyone who is both not calm and wise is both not strong and curious and vice versa. If alice is both strong and old then susan is calm. Everyone who is both ge... | Paul is patient. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | patient(paul) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8798275392853058510405707
% SZS output start Proof for 8798275392853058510405707
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
13. ! [X0] : ((calm(X0) <~> wise(X0)) => (~strong(X0) & ~patient(X0))) [input p12]
25. patient(paul) [input hypothesis]
39. ! [X... | 0 |
Everyone who is curious or calm is both happy and not curious and vice versa.
If alice is both not humble and kind then someone is either rich or not calm and vice versa.
If someone is strong then alice is humble or not old and vice versa.
Everyone who is either not happy or rich is not funny or happy and vice versa.
I... | Alice is curious. | contradiction | (![X]:((curious(X)|calm(X))<=>(happy(X)&~curious(X))))&
(((~humble(alice)&kind(alice)))<=>(?[X]:((rich(X)<~>~calm(X)))))&
((?[X]:(strong(X)))<=>((humble(alice)|~old(alice))))&
(![X]:((~happy(X)<~>rich(X))<=>(~funny(X)|happy(X))))&
(((funny(john)<~>~old(john)))<=>((~rich(john)&patient(john))))&
(![X]:((rich(X)<~>~old(X)... | curious(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8668815536052003971445847
% SZS output start Proof for 8668815536052003971445847
1. ! [X0] : ((calm(X0) | curious(X0)) <=> (~curious(X0) & happy(X0))) [input p0]
20. curious(alice) [input hypothesis]
27. ! [X0] : (((calm(X0) | curious(X0)) | (curious(X0) | ~happy(X0))) & ((~curious(X0) & ... | 0 |
Everyone who is funny or quiet is creative or patient and vice versa.
Everyone who is not kind or calm is either curious or creative and vice versa.
If someone is not calm then someone is not strong.
Everyone who is both strong and old is kind or calm.
Everyone who is either funny or old is either not wise or not gener... | Lucy is not funny. | entailment | (![X]:((funny(X)|quiet(X))<=>(creative(X)|patient(X))))&
(![X]:((~kind(X)|calm(X))<=>(curious(X)<~>creative(X))))&
((?[X]:(~calm(X)))=>(?[X]:(~strong(X))))&
(![X]:((strong(X)&old(X))=>(kind(X)|calm(X))))&
(![X]:((funny(X)<~>old(X))<=>(~wise(X)<~>~generous(X))))&
((?[X]:((wise(X)<~>brave(X))))=>(?[X]:((tall(X)<~>curious... | ~funny(lucy) | [
"p7",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9067561909019228460684491
% SZS output start Proof for 9067561909019228460684491
8. (funny(lucy) <~> old(lucy)) <=> ? [X0] : (kind(X0) | ~curious(X0)) [input p7]
10. ! [X0] : ((wise(X0) <~> ~old(X0)) <=> (kind(X0) & wise(X0))) [input p9]
13. ! [X0] : ((~kind(X0) | ~old(X0)) => (old(X0) & ... | 0 |
If someone is kind then fred is either not old or funny.
If someone is both humble and generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and not patient the... | Mary is happy. | contradiction | ((?[X]:(kind(X)))=>((~old(fred)<~>funny(fred))))&
((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:(... | happy(mary) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7323943087177696580447689
% SZS output start Proof for 7323943087177696580447689
1. ? [X0] : kind(X0) => (~old(fred) <~> funny(fred)) [input p0]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [input p3]
5. ? [X0] :... | 0 |
Everyone who is happy or not happy is both not wise and not calm and vice versa. Everyone who is not tall is either strong or rich. If someone is either quiet or kind then susan is both tall and old and vice versa. If lucy is old or not old then fred is humble. If fred is brave or rich then mary is happy or kind and vi... | Lucy is wise. | contradiction | (![X]:((happy(X)|~happy(X))<=>(~wise(X)&~calm(X))))&
(![X]:(~tall(X)=>(strong(X)<~>rich(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((tall(susan)&old(susan))))&
(((old(lucy)|~old(lucy)))=>(humble(fred)))&
(((brave(fred)|rich(fred)))<=>((happy(mary)|kind(mary))))&
(![X]:((~kind(X)&~curious(X))<=>calm(X)))&
(![X]:((old(X)|~b... | wise(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5685001372099136597206184
% SZS output start Proof for 5685001372099136597206184
1. ! [X0] : ((~happy(X0) | happy(X0)) <=> (~calm(X0) & ~wise(X0))) [input p0]
23. wise(lucy) [input hypothesis]
32. ! [X0] : (((~happy(X0) | happy(X0)) | (calm(X0) | wise(X0))) & ((~calm(X0) & ~wise(X0)) | (h... | 0 |
Everyone who is happy is either not happy or not patient. Everyone who is both old and not wise is wise or not humble and vice versa. If paul is calm then alice is both not quiet and curious and vice versa. Everyone who is not brave or quiet is not funny and vice versa. Everyone who is either kind or strong is both qui... | Paul is not tall. | neutral | (![X]:(happy(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((old(X)&~wise(X))<=>(wise(X)|~humble(X))))&
((calm(paul))<=>((~quiet(alice)&curious(alice))))&
(![X]:((~brave(X)|quiet(X))<=>~funny(X)))&
(![X]:((kind(X)<~>strong(X))=>(quiet(X)&~humble(X))))&
((?[X]:(patient(X)))<=>(?[X]:(~humble(X))))&
(![X]:((~old(X)<~>~quiet(X))<... | ~tall(paul) | [] | null | 0 |
If paul is both old and happy then someone is brave or curious and vice versa. Everyone who is either not wise or strong is either not generous or quiet. Everyone who is not humble or old is either kind or curious and vice versa. Everyone who is both calm and not humble is both humble and creative and vice versa. If pa... | Lucy is tall. | neutral | (((old(paul)&happy(paul)))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~wise(X)<~>strong(X))=>(~generous(X)<~>quiet(X))))&
(![X]:((~humble(X)|old(X))<=>(kind(X)<~>curious(X))))&
(![X]:((calm(X)&~humble(X))<=>(humble(X)&creative(X))))&
(((~patient(paul)|~creative(paul)))<=>(~patient(mary)))&
(![X]:((~funny(X)&~happy(X))=... | tall(lucy) | [] | null | 0 |
Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not tall and vice versa. Everyone who is wise is not strong and vice versa. Everyone wh... | John is kind. | neutral | (![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<... | kind(john) | [] | null | 0 |
Everyone who is curious or not brave is either not wise or generous.
If someone is not strong then alice is generous or rich and vice versa.
Everyone who is not calm or not generous is both not wise and happy.
Everyone who is either not rich or not tall is both happy and not kind.
If someone is either wise or calm then... | Fred is kind. | entailment | (![X]:((curious(X)|~brave(X))=>(~wise(X)<~>generous(X))))&
((?[X]:(~strong(X)))<=>((generous(alice)|rich(alice))))&
(![X]:((~calm(X)|~generous(X))=>(~wise(X)&happy(X))))&
(![X]:((~rich(X)<~>~tall(X))=>(happy(X)&~kind(X))))&
((?[X]:((wise(X)<~>calm(X))))<=>((quiet(lucy)&~quiet(lucy))))&
(![X]:((creative(X)|curious(X))=>... | kind(fred) | [
"p2",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 297545387891771304879471
% SZS output start Proof for 297545387891771304879471
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (happy(X0) & ~wise(X0))) [input p2]
6. ! [X0] : ((curious(X0) | creative(X0)) => (~curious(X0) & kind(X0))) [input p5]
8. ? [X0] : (~curious(X0) | ~rich(X0)) => ~kind... | 0 |
Everyone who is creative or tall is brave and vice versa.
If lucy is both not calm and calm then someone is humble and vice versa.
Everyone who is calm is not tall or not wise and vice versa.
Everyone who is both happy and not creative is either not patient or old and vice versa.
Everyone who is quiet is calm.
Everyone... | Susan is not strong. | neutral | (![X]:((creative(X)|tall(X))<=>brave(X)))&
(((~calm(lucy)&calm(lucy)))<=>(?[X]:(humble(X))))&
(![X]:(calm(X)<=>(~tall(X)|~wise(X))))&
(![X]:((happy(X)&~creative(X))<=>(~patient(X)<~>old(X))))&
(![X]:(quiet(X)=>calm(X)))&
(![X]:((calm(X)&~quiet(X))<=>(~generous(X)&patient(X))))&
(![X]:(generous(X)=>(rich(X)<~>humble(X))... | ~strong(susan) | [] | null | 0 |
Everyone who is both not happy and rich is both strong and not calm and vice versa.
Everyone who is either not old or not patient is either not creative or not patient.
If someone is not strong or brave then someone is either funny or not curious and vice versa.
If someone is wise then someone is both not creative and ... | John is humble. | neutral | (![X]:((~happy(X)&rich(X))<=>(strong(X)&~calm(X))))&
(![X]:((~old(X)<~>~patient(X))=>(~creative(X)<~>~patient(X))))&
((?[X]:((~strong(X)|brave(X))))<=>(?[X]:((funny(X)<~>~curious(X)))))&
((?[X]:(wise(X)))=>(?[X]:((~creative(X)&~generous(X)))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((~funny(X)&~old(X)))))&
((?[X]:((gen... | humble(john) | [] | null | 0 |
If someone is either not calm or not kind then someone is curious and vice versa. If someone is both brave and not happy then someone is not funny or humble and vice versa. Everyone who is old is wise and vice versa. If someone is brave or generous then mary is either not creative or generous and vice versa. Everyone w... | Fred is strong. | entailment | ((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:(curious(X))))&
((?[X]:((brave(X)&~happy(X))))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:(old(X)<=>wise(X)))&
((?[X]:((brave(X)|generous(X))))<=>((~creative(mary)<~>generous(mary))))&
(![X]:((quiet(X)&~quiet(X))<=>(~funny(X)&~patient(X))))&
(![X]:((~brave(X)<~>brave(X))<=>strong(X... | strong(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7904752078630129914142148
% SZS output start Proof for 7904752078630129914142148
6. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> strong(X0)) [input p5]
25. ~strong(fred) [input hypothesis]
52. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | ~strong(X0)) & (strong(X0) | ((~b... | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | Mary is wise. | contradiction | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | wise(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3698206659922104524963349
% SZS output start Proof for 3698206659922104524963349
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
9. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p8]
23. wise(mary) [input hypothesis]
43. ! [X0] : ((~old(X0) | (~wise(X0) | ~creative(X0))) & (... | 0 |
Everyone who is either wise or happy is either quiet or creative and vice versa.
If susan is not creative then someone is tall.
Everyone who is not kind is wise or not kind.
Everyone who is either humble or not creative is not brave or not rich.
If paul is either not creative or brave then susan is not curious.
Everyon... | Paul is not funny. | neutral | (![X]:((wise(X)<~>happy(X))<=>(quiet(X)<~>creative(X))))&
((~creative(susan))=>(?[X]:(tall(X))))&
(![X]:(~kind(X)=>(wise(X)|~kind(X))))&
(![X]:((humble(X)<~>~creative(X))=>(~brave(X)|~rich(X))))&
(((~creative(paul)<~>brave(paul)))=>(~curious(susan)))&
(![X]:((~generous(X)<~>calm(X))=>(~kind(X)&calm(X))))&
(![X]:((quiet... | ~funny(paul) | [] | null | 0 |
If alice is either not happy or tall then someone is both not funny and not wise and vice versa. Everyone who is not strong is kind. Everyone who is not strong or brave is not strong. If someone is both old and tall then paul is both humble and not patient and vice versa. Everyone who is not rich is not tall or not kin... | Fred is kind. | entailment | (((~happy(alice)<~>tall(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((~strong(X)|brave(X))=>~strong(X)))&
((?[X]:((old(X)&tall(X))))<=>((humble(paul)&~patient(paul))))&
(![X]:(~rich(X)=>(~tall(X)|~kind(X))))&
(![X]:((humble(X)|brave(X))<=>(~funny(X)|~rich(X))))&
(![X]:(happy(X)=>(crea... | kind(fred) | [
"p1",
"p2",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6697376619485162026143282
% SZS output start Proof for 6697376619485162026143282
2. ! [X0] : (~strong(X0) => kind(X0)) [input p1]
3. ! [X0] : ((brave(X0) | ~strong(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((brave(X0) | humble(X0)) <=> (~rich(X0) | ~funny(X0))) [input p5]
12. ! [X0] : (... | 0 |
If alice is both not creative and calm then alice is not wise.
If mary is not tall or not wise then someone is tall and vice versa.
If paul is calm or not brave then someone is either creative or not quiet.
Everyone who is not patient or not rich is both patient and kind.
Everyone who is curious is not happy or patient... | Lucy is not generous. | entailment | (((~creative(alice)&calm(alice)))=>(~wise(alice)))&
(((~tall(mary)|~wise(mary)))<=>(?[X]:(tall(X))))&
(((calm(paul)|~brave(paul)))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:((~patient(X)|~rich(X))=>(patient(X)&kind(X))))&
(![X]:(curious(X)=>(~happy(X)|patient(X))))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~strong(X)|... | ~generous(lucy) | [
"p3",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5845068879200351701767762
% SZS output start Proof for 5845068879200351701767762
4. ! [X0] : ((~rich(X0) | ~patient(X0)) => (kind(X0) & patient(X0))) [input p3]
15. ! [X0] : ((~kind(X0) | generous(X0)) => (~wise(X0) <~> ~patient(X0))) [input p14]
16. ! [X0] : ((humble(X0) | wise(X0)) <=> ... | 0 |
If john is not generous then alice is not humble or wise and vice versa.
Everyone who is not tall is not curious and vice versa.
Everyone who is not happy or not generous is patient or not tall and vice versa.
If someone is not wise then alice is both tall and not strong and vice versa.
Everyone who is kind is not gene... | Susan is patient. | neutral | ((~generous(john))<=>((~humble(alice)|wise(alice))))&
(![X]:(~tall(X)<=>~curious(X)))&
(![X]:((~happy(X)|~generous(X))<=>(patient(X)|~tall(X))))&
((?[X]:(~wise(X)))<=>((tall(alice)&~strong(alice))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:((~generous(X)&~tall(X))<=>(~strong(X)<~>~humble(X))))&
(![X]:((patient(X)|~old(X... | patient(susan) | [] | null | 0 |
If paul is either creative or not rich then someone is old or not rich and vice versa.
If someone is not old then paul is funny and vice versa.
Everyone who is funny or tall is not funny or not quiet.
If someone is both not creative and not happy then someone is both not quiet and not wise.
Everyone who is both brave a... | Susan is kind. | entailment | (((creative(paul)<~>~rich(paul)))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~old(X)))<=>(funny(paul)))&
(![X]:((funny(X)|tall(X))=>(~funny(X)|~quiet(X))))&
((?[X]:((~creative(X)&~happy(X))))=>(?[X]:((~quiet(X)&~wise(X)))))&
(![X]:((brave(X)&~tall(X))=>(~old(X)&creative(X))))&
(![X]:((happy(X)|~kind(X))<=>strong(X)))&
(![X... | kind(susan) | [
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1983649017806667298574136
% SZS output start Proof for 1983649017806667298574136
6. ! [X0] : ((~kind(X0) | happy(X0)) <=> strong(X0)) [input p5]
24. ~strong(susan) & calm(susan) [input p23]
25. ~kind(susan) [input hypothesis]
54. ! [X0] : (((~kind(X0) | happy(X0)) | ~strong(X0)) & (strong... | 0 |
If someone is not old or old then john is happy or not old.
Everyone who is not strong or funny is not old and vice versa.
Everyone who is not kind is old or not strong and vice versa.
If someone is either not tall or funny then lucy is not brave or not rich and vice versa.
If paul is generous then someone is both not ... | Alice is humble. | entailment | ((?[X]:((~old(X)|old(X))))=>((happy(john)|~old(john))))&
(![X]:((~strong(X)|funny(X))<=>~old(X)))&
(![X]:(~kind(X)<=>(old(X)|~strong(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>((~brave(lucy)|~rich(lucy))))&
((generous(paul))=>(?[X]:((~humble(X)&~patient(X)))))&
((~creative(alice))<=>(?[X]:((humble(X)&strong(X)))))&
((?[X... | humble(alice) | [
"p2",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2736962791511615195433549
% SZS output start Proof for 2736962791511615195433549
3. ! [X0] : (~kind(X0) <=> (~strong(X0) | old(X0))) [input p2]
10. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> kind(X0)) [input p9]
19. old(alice) | humble(alice) [input p18]
21. ~humble(alice) [input hypothesis]
... | 0 |
Everyone who is both kind and not strong is both rich and curious and vice versa. If someone is wise then someone is tall or not generous. Everyone who is not wise or not quiet is either not old or brave. Everyone who is either not funny or not creative is both patient and old and vice versa. If someone is not wise or ... | Susan is not curious. | neutral | (![X]:((kind(X)&~strong(X))<=>(rich(X)&curious(X))))&
((?[X]:(wise(X)))=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(~old(X)<~>brave(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(patient(X)&old(X))))&
((?[X]:((~wise(X)|~generous(X))))=>((generous(fred)<~>curious(fred))))&
(![X]:((~funny(X)&tall(X))=>(... | ~curious(susan) | [] | null | 0 |
If mary is either not humble or not brave then someone is both curious and not old. Everyone who is both generous and not creative is not wise and vice versa. Everyone who is both not wise and not brave is either calm or not generous. Everyone who is not brave is both humble and kind and vice versa. Everyone who is fun... | Paul is generous. | neutral | (((~humble(mary)<~>~brave(mary)))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((generous(X)&~creative(X))<=>~wise(X)))&
(![X]:((~wise(X)&~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>(humble(X)&kind(X))))&
(![X]:((funny(X)|humble(X))=>(quiet(X)<~>~generous(X))))&
(((kind(mary)&strong(mary)))<=>(?[X]:((quiet(X)&... | generous(paul) | [] | null | 0 |
Everyone who is either not calm or quiet is not brave or not wise. Everyone who is both tall and not funny is not happy or not quiet. Everyone who is not brave or not strong is either not brave or kind and vice versa. If someone is strong then someone is humble and vice versa. If someone is not old then someone is both... | John is funny. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(~brave(X)|~wise(X))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~brave(X)|~strong(X))<=>(~brave(X)<~>kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:(humble(X))))&
((?[X]:(~old(X)))=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~curious(X)|~calm(X))=>(~funny(X)&~calm(X))))&
(((~fu... | funny(john) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7248574994506660432483188
% SZS output start Proof for 7248574994506660432483188
6. ! [X0] : ((~calm(X0) | ~curious(X0)) => (~calm(X0) & ~funny(X0))) [input p5]
11. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p10]
24. funny(john) [input hypothesis]
34. ! [X0] : ((~calm(X0) & ~funny(X0)) |... | 0 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Susan is creative. | neutral | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | creative(susan) | [] | null | 0 |
If mary is not strong or strong then lucy is both not brave and not tall and vice versa.
Everyone who is not patient or brave is quiet and vice versa.
Everyone who is both humble and rich is both not generous and not calm and vice versa.
Everyone who is either brave or not calm is brave.
Everyone who is either not humb... | Fred is happy. | entailment | (((~strong(mary)|strong(mary)))<=>((~brave(lucy)&~tall(lucy))))&
(![X]:((~patient(X)|brave(X))<=>quiet(X)))&
(![X]:((humble(X)&rich(X))<=>(~generous(X)&~calm(X))))&
(![X]:((brave(X)<~>~calm(X))=>brave(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(wise(X)&humble(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(kind(X)|calm(X))))&
(![X]... | happy(fred) | [
"p2",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 870847264046843841989256
% SZS output start Proof for 870847264046843841989256
3. ! [X0] : ((rich(X0) & humble(X0)) <=> (~calm(X0) & ~generous(X0))) [input p2]
5. ! [X0] : ((~humble(X0) <~> ~calm(X0)) => (humble(X0) & wise(X0))) [input p4]
15. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> happy(X... | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Mary is not calm. | contradiction | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | ~calm(mary) | [
"p1",
"p3",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5630160368864541666557175
% SZS output start Proof for 5630160368864541666557175
2. ? [X0] : (happy(X0) & creative(X0)) <=> ? [X0] : (happy(X0) <~> ~humble(X0)) [input p1]
4. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) [input p3]
6. ! [X0] : ((~curious(X0) | ~generous(X0)) <=... | 0 |
Everyone who is not happy is not kind or not humble and vice versa.
Everyone who is both not patient and not strong is both not kind and calm and vice versa.
If someone is not curious or not calm then someone is not rich and vice versa.
Everyone who is not quiet is either curious or not humble and vice versa.
Everyone ... | Paul is not rich. | neutral | (![X]:(~happy(X)<=>(~kind(X)|~humble(X))))&
(![X]:((~patient(X)&~strong(X))<=>(~kind(X)&calm(X))))&
((?[X]:((~curious(X)|~calm(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((patient(X)&happy(X))<=>(funny(X)<~>~old(X))))&
((?[X]:((~quiet(X)<~>~rich(X))))=>(?[X]:(~calm(X))))&
(((~stro... | ~rich(paul) | [] | null | 0 |
Everyone who is both humble and not calm is old or not patient. If someone is strong then someone is both not old and not wise. Everyone who is not happy or not generous is not funny and vice versa. Everyone who is either rich or not quiet is happy or patient and vice versa. Everyone who is both not patient and quiet i... | Alice is not generous. | entailment | (![X]:((humble(X)&~calm(X))=>(old(X)|~patient(X))))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~happy(X)|~generous(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~quiet(X))<=>(happy(X)|patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~creative(X)|~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))=>(generous(X)&~bra... | ~generous(alice) | [
"p1",
"p3",
"p6",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2572305495433569285654635
% SZS output start Proof for 2572305495433569285654635
2. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & ~old(X0)) [input p1]
4. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> (patient(X0) | happy(X0))) [input p3]
7. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (happy(X0) & ~... | 0 |
If alice is not strong then fred is not tall and vice versa.
If someone is both rich and not old then someone is calm or not brave.
Everyone who is either funny or not humble is calm or not creative.
If someone is wise or not patient then someone is not happy.
Everyone who is creative or generous is not kind or creativ... | Lucy is not funny. | entailment | ((~strong(alice))<=>(~tall(fred)))&
((?[X]:((rich(X)&~old(X))))=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:((funny(X)<~>~humble(X))=>(calm(X)|~creative(X))))&
((?[X]:((wise(X)|~patient(X))))=>(?[X]:(~happy(X))))&
(![X]:((creative(X)|generous(X))=>(~kind(X)|creative(X))))&
(![X]:((wise(X)&~strong(X))=>(rich(X)&wise(X))))&
(!... | ~funny(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8737063271808451561543830
% SZS output start Proof for 8737063271808451561543830
14. ! [X0] : ((funny(X0) | ~calm(X0)) => (~funny(X0) & creative(X0))) [input p13]
25. funny(lucy) [input hypothesis]
42. ! [X0] : ((~funny(X0) & creative(X0)) | (~funny(X0) & calm(X0))) [ennf transformation 1... | 0 |
Everyone who is not old or patient is both creative and not happy.
If someone is tall or curious then someone is not rich and vice versa.
Everyone who is either kind or not generous is either not kind or not wise.
Everyone who is not brave is either curious or not quiet.
Everyone who is not kind or strong is brave and ... | Mary is not patient. | entailment | (![X]:((~old(X)|patient(X))=>(creative(X)&~happy(X))))&
((?[X]:((tall(X)|curious(X))))<=>(?[X]:(~rich(X))))&
(![X]:((kind(X)<~>~generous(X))=>(~kind(X)<~>~wise(X))))&
(![X]:(~brave(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)|strong(X))<=>brave(X)))&
(![X]:((patient(X)&~calm(X))=>~funny(X)))&
((?[X]:((wise(X)<~>cre... | ~patient(mary) | [
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3373491697648775151714755
% SZS output start Proof for 3373491697648775151714755
15. ! [X0] : (patient(X0) => (wise(X0) & kind(X0))) [input p14]
16. ! [X0] : ((generous(X0) & patient(X0)) <=> (~funny(X0) | wise(X0))) [input p15]
22. ~patient(mary) <~> ~generous(mary) [input p21]
25. patie... | 0 |
If someone is both curious and not old then someone is wise and vice versa.
Everyone who is either not wise or not rich is not tall and vice versa.
If someone is either not creative or humble then someone is both not funny and patient and vice versa.
Everyone who is either not generous or not brave is not generous or h... | Paul is not brave. | contradiction | ((?[X]:((curious(X)&~old(X))))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)<~>~rich(X))<=>~tall(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>(?[X]:((~funny(X)&patient(X)))))&
(![X]:((~generous(X)<~>~brave(X))<=>(~generous(X)|happy(X))))&
((?[X]:((old(X)&generous(X))))<=>(wise(susan)))&
(![X]:((curious(X)|~curious(X))=>(~happy... | ~brave(paul) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 334628914697619151914170
% SZS output start Proof for 334628914697619151914170
1. ? [X0] : (~old(X0) & curious(X0)) <=> ? [X0] : wise(X0) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (happy(X0) | ~generous(X0))) [input p3]
5. ? [X0] : (generous(X0) & old(X0)) <=> wise(susan)... | 0 |
Everyone who is either not funny or old is both not happy and quiet and vice versa.
If someone is not funny then someone is both not brave and humble and vice versa.
If someone is patient or not funny then paul is both not rich and not calm and vice versa.
Everyone who is both kind and not generous is tall.
If alice is... | Lucy is not generous. | neutral | (![X]:((~funny(X)<~>old(X))<=>(~happy(X)&quiet(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~brave(X)&humble(X)))))&
((?[X]:((patient(X)|~funny(X))))<=>((~rich(paul)&~calm(paul))))&
(![X]:((kind(X)&~generous(X))=>tall(X)))&
(((patient(alice)<~>~tall(alice)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((tall(X)&curious(X))))=>(?... | ~generous(lucy) | [] | null | 0 |
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