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 old is both not generous and not calm.
Everyone who is not brave or not patient is not creative and vice versa.
Everyone who is generous is curious or patient and vice versa.
Everyone who is not old is both not curious and not rich.
Everyone who is not tall or tall is either not tall or generous.
Everyo... | John is quiet. | contradiction | (![X]:(old(X)=>(~generous(X)&~calm(X))))&
(![X]:((~brave(X)|~patient(X))<=>~creative(X)))&
(![X]:(generous(X)<=>(curious(X)|patient(X))))&
(![X]:(~old(X)=>(~curious(X)&~rich(X))))&
(![X]:((~tall(X)|tall(X))=>(~tall(X)<~>generous(X))))&
(![X]:((strong(X)&~wise(X))<=>(~creative(X)&brave(X))))&
((?[X]:(humble(X)))=>((happ... | quiet(john) | [
"p1",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 706325680263252620769466
% SZS output start Proof for 706325680263252620769466
2. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> ~creative(X0)) [input p1]
14. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> ~rich(X0)) [input p13]
16. ! [X0] : ((humble(X0) | ~humble(X0)) => (~rich(X0) & ~patient(X0... | 0 |
If someone is either humble or brave then someone is not patient and vice versa. If someone is not generous then someone is either not happy or not humble and vice versa. If lucy is rich then john is both calm and not wise. If someone is not humble or not happy then alice is creative. Everyone who is either tall or not... | Alice is not happy. | entailment | ((?[X]:((humble(X)<~>brave(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((rich(lucy))=>((calm(john)&~wise(john))))&
((?[X]:((~humble(X)|~happy(X))))=>(creative(alice)))&
(![X]:((tall(X)<~>~humble(X))=>(~happy(X)|~tall(X))))&
(![X]:((~curious(X)&~happy(X))<=>(happy(X)|brave... | ~happy(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 144949554501224663569552
% SZS output start Proof for 144949554501224663569552
6. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (brave(X0) | happy(X0))) [input p5]
22. happy(alice) [input hypothesis]
53. ! [X0] : (((~happy(X0) & ~curious(X0)) | (~brave(X0) & ~happy(X0))) & ((brave(X0) | happy... | 0 |
If someone is patient or old then john is not funny or happy and vice versa.
Everyone who is both old and not kind is either rich or curious.
Everyone who is tall is not patient or not rich.
If someone is generous then someone is patient.
If someone is tall or not patient then lucy is tall or old.
Everyone who is eithe... | Lucy is humble. | contradiction | ((?[X]:((patient(X)|old(X))))<=>((~funny(john)|happy(john))))&
(![X]:((old(X)&~kind(X))=>(rich(X)<~>curious(X))))&
(![X]:(tall(X)=>(~patient(X)|~rich(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((kind(X)<~>wise(X))<=>(~strong(X)|tall(X))))&
(![X]... | humble(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9025549023579717596885614
% SZS output start Proof for 9025549023579717596885614
4. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p3]
6. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (tall(X0) | ~strong(X0))) [input p5]
8. ? [X0] : (~tall(X0) <~> ~wise(X0)) => ? [X0] : (~wise(X0) & generou... | 0 |
Everyone who is either not curious or quiet is calm or not old and vice versa. Everyone who is both wise and old is not calm or not creative and vice versa. Everyone who is patient or not calm is both curious and not funny and vice versa. If lucy is not humble then someone is rich or not strong and vice versa. If someo... | Lucy is calm. | entailment | (![X]:((~curious(X)<~>quiet(X))<=>(calm(X)|~old(X))))&
(![X]:((wise(X)&old(X))<=>(~calm(X)|~creative(X))))&
(![X]:((patient(X)|~calm(X))<=>(curious(X)&~funny(X))))&
((~humble(lucy))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((patient(X)|quiet(X)))))&
(![X]:((~wise(X)|~funny(X))=>humbl... | calm(lucy) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 614268336983240898687731
% SZS output start Proof for 614268336983240898687731
3. ! [X0] : ((~calm(X0) | patient(X0)) <=> (~funny(X0) & curious(X0))) [input p2]
4. ~humble(lucy) <=> ? [X0] : (~strong(X0) | rich(X0)) [input p3]
6. ! [X0] : ((~funny(X0) | ~wise(X0)) => humble(X0)) [input p5... | 0 |
If susan is both not funny and generous then susan is not tall or wise.
If john is not calm then someone is both happy and tall.
Everyone who is both creative and tall is calm or not kind.
Everyone who is old is both generous and quiet and vice versa.
Everyone who is both not patient and wise is either old or not gener... | Lucy is not wise. | contradiction | (((~funny(susan)&generous(susan)))=>((~tall(susan)|wise(susan))))&
((~calm(john))=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((creative(X)&tall(X))=>(calm(X)|~kind(X))))&
(![X]:(old(X)<=>(generous(X)&quiet(X))))&
(![X]:((~patient(X)&wise(X))<=>(old(X)<~>~generous(X))))&
(((~happy(paul)|~curious(paul)))=>((quiet(lucy)<~>tall(... | ~wise(lucy) | [
"p3",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3261491903350212435600584
% SZS output start Proof for 3261491903350212435600584
4. ! [X0] : (old(X0) <=> (quiet(X0) & generous(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (old(X0) <~> ~generous(X0))) [input p4]
22. ~generous(lucy) & strong(lucy) [input p21]
25. ~wise(lucy... | 0 |
Everyone who is brave is creative or curious.
If someone is wise then someone is old and vice versa.
Everyone who is either brave or not humble is not rich.
Everyone who is either calm or kind is humble or not wise.
If someone is not rich or patient then susan is not happy or rich.
Everyone who is either humble or not ... | Paul is tall. | contradiction | (![X]:(brave(X)=>(creative(X)|curious(X))))&
((?[X]:(wise(X)))<=>(?[X]:(old(X))))&
(![X]:((brave(X)<~>~humble(X))=>~rich(X)))&
(![X]:((calm(X)<~>kind(X))=>(humble(X)|~wise(X))))&
((?[X]:((~rich(X)|patient(X))))=>((~happy(susan)|rich(susan))))&
(![X]:((humble(X)<~>~wise(X))<=>~quiet(X)))&
((~strong(paul))<=>(?[X]:((~qui... | tall(paul) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4459282369671791963226225
% SZS output start Proof for 4459282369671791963226225
10. (~tall(paul) & ~rich(paul)) <=> ? [X0] : ~funny(X0) [input p9]
18. ? [X0] : (quiet(X0) & ~funny(X0)) [input p17]
25. tall(paul) [input hypothesis]
58. ((~tall(paul) & ~rich(paul)) | ! [X0] : funny(X0)) & ... | 0 |
Everyone who is both curious and not brave is old or not old and vice versa. Everyone who is both not wise and calm is both generous and patient. If someone is not patient or humble then someone is either kind or not kind. If mary is both not strong and not quiet then someone is both not curious and not old and vice ve... | Mary is patient. | neutral | (![X]:((curious(X)&~brave(X))<=>(old(X)|~old(X))))&
(![X]:((~wise(X)&calm(X))=>(generous(X)&patient(X))))&
((?[X]:((~patient(X)|humble(X))))=>(?[X]:((kind(X)<~>~kind(X)))))&
(((~strong(mary)&~quiet(mary)))<=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((kind(X)|~calm(X))))=>(~tall(mary)))&
(![X]:((~happy(X)|rich(X))=>quiet... | patient(mary) | [] | null | 0 |
If someone is both not brave and not calm then someone is either not brave or happy and vice versa.
Everyone who is not curious or not kind is both not rich and not funny.
If susan is happy then someone is not patient or patient and vice versa.
If fred is old or generous then someone is both quiet and not happy.
If som... | Mary is creative. | neutral | ((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~>happy(X)))))&
(![X]:((~curious(X)|~kind(X))=>(~rich(X)&~funny(X))))&
((happy(susan))<=>(?[X]:((~patient(X)|patient(X)))))&
(((old(fred)|generous(fred)))=>(?[X]:((quiet(X)&~happy(X)))))&
((?[X]:((~funny(X)|~happy(X))))=>((~creative(mary)|~curious(mary))))&
(![X]:((~ki... | creative(mary) | [] | null | 0 |
Everyone who is both not curious and calm is both humble and patient and vice versa. If someone is not rich or brave then lucy is both old and wise. Everyone who is not humble is generous or tall. Everyone who is curious is both humble and rich and vice versa. If someone is both not patient and strong then john is stro... | Mary is tall. | neutral | (![X]:((~curious(X)&calm(X))<=>(humble(X)&patient(X))))&
((?[X]:((~rich(X)|brave(X))))=>((old(lucy)&wise(lucy))))&
(![X]:(~humble(X)=>(generous(X)|tall(X))))&
(![X]:(curious(X)<=>(humble(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))<=>(strong(john)))&
(((calm(susan)|~kind(susan)))<=>((creative(fred)&~happy(fred))))&... | tall(mary) | [] | null | 0 |
If someone is quiet or not brave then someone is happy or not wise.
Everyone who is either strong or not creative is curious.
Everyone who is both not calm and not creative is not kind and vice versa.
If john is either not curious or not tall then alice is creative and vice versa.
Everyone who is not generous or not qu... | John is not funny. | contradiction | ((?[X]:((quiet(X)|~brave(X))))=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:((strong(X)<~>~creative(X))=>curious(X)))&
(![X]:((~calm(X)&~creative(X))<=>~kind(X)))&
(((~curious(john)<~>~tall(john)))<=>(creative(alice)))&
(![X]:((~generous(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
((kind(susan))=>(~old(alice)))&
(![X]:(funny(X)... | ~funny(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3572682362165343498935703
% SZS output start Proof for 3572682362165343498935703
11. ! [X0] : ((~funny(X0) | ~humble(X0)) => funny(X0)) [input p10]
24. ~funny(john) [input hypothesis]
36. ! [X0] : (funny(X0) | (funny(X0) & humble(X0))) [ennf transformation 11]
95. funny(X0) | funny(X0) [c... | 0 |
If lucy is not wise then someone is wise. Everyone who is not brave is tall and vice versa. If mary is not old or patient then someone is both not patient and rich. If someone is happy or not generous then someone is either happy or strong. If mary is tall or generous then paul is not old and vice versa. If mary is hap... | Paul is not generous. | contradiction | ((~wise(lucy))=>(?[X]:(wise(X))))&
(![X]:(~brave(X)<=>tall(X)))&
(((~old(mary)|patient(mary)))=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:((happy(X)|~generous(X))))=>(?[X]:((happy(X)<~>strong(X)))))&
(((tall(mary)|generous(mary)))<=>(~old(paul)))&
((happy(mary))<=>((~brave(susan)&calm(susan))))&
(![X]:(wise(X)<=>funny(X)... | ~generous(paul) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 649372480494221866616986
% SZS output start Proof for 649372480494221866616986
11. ? [X0] : (patient(X0) | ~humble(X0)) => ? [X0] : (generous(X0) & ~generous(X0)) [input p10]
13. ! [X0] : ((~generous(X0) | happy(X0)) => (~humble(X0) & wise(X0))) [input p12]
24. ~generous(paul) [input hypo... | 0 |
Everyone who is either strong or not strong is not old.
Everyone who is either not kind or old is either humble or not funny.
Everyone who is both not quiet and curious is either generous or not funny and vice versa.
If someone is wise then someone is funny and vice versa.
If someone is calm then someone is either not ... | Mary is creative. | entailment | (![X]:((strong(X)<~>~strong(X))=>~old(X)))&
(![X]:((~kind(X)<~>old(X))=>(humble(X)<~>~funny(X))))&
(![X]:((~quiet(X)&curious(X))<=>(generous(X)<~>~funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:(funny(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:(~quiet(X)=>~generous(X)))&
((old(mary))=>(?[X]:((~hum... | creative(mary) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7795303387097844473512242
% SZS output start Proof for 7795303387097844473512242
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => ~old(X0)) [input p0]
10. ! [X0] : ((~humble(X0) | humble(X0)) => (tall(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~patient(X0) | ~strong(X0)) => (old(X0) <~> c... | 0 |
If someone is kind or rich then mary is not happy and vice versa. Everyone who is either not brave or not quiet is calm or happy and vice versa. If paul is both not calm and not old then someone is not wise and vice versa. Everyone who is both kind and rich is both not patient and not creative. If someone is both not f... | Paul is rich. | neutral | ((?[X]:((kind(X)|rich(X))))<=>(~happy(mary)))&
(![X]:((~brave(X)<~>~quiet(X))<=>(calm(X)|happy(X))))&
(((~calm(paul)&~old(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((kind(X)&rich(X))=>(~patient(X)&~creative(X))))&
((?[X]:((~funny(X)&~curious(X))))<=>(?[X]:((brave(X)&~brave(X)))))&
((?[X]:((strong(X)&~happy(X))))<=>(?[X]:(hum... | rich(paul) | [] | null | 0 |
If someone is both curious and humble then paul is both tall and not happy. Everyone who is both not brave and old is either patient or wise. Everyone who is not calm is both strong and old. If lucy is either not creative or not rich then someone is both generous and wise. If alice is patient then someone is not happy ... | John is not creative. | neutral | ((?[X]:((curious(X)&humble(X))))=>((tall(paul)&~happy(paul))))&
(![X]:((~brave(X)&old(X))=>(patient(X)<~>wise(X))))&
(![X]:(~calm(X)=>(strong(X)&old(X))))&
(((~creative(lucy)<~>~rich(lucy)))=>(?[X]:((generous(X)&wise(X)))))&
((patient(alice))<=>(?[X]:(~happy(X))))&
(![X]:((~strong(X)|kind(X))<=>(~rich(X)&~patient(X))))... | ~creative(john) | [] | null | 0 |
Everyone who is not happy or not quiet is both curious and tall.
If someone is generous then fred is either quiet or not old and vice versa.
Everyone who is both funny and tall is old or not rich and vice versa.
If mary is both not happy and patient then someone is generous.
Everyone who is not funny or not tall is bot... | Fred is strong. | neutral | (![X]:((~happy(X)|~quiet(X))=>(curious(X)&tall(X))))&
((?[X]:(generous(X)))<=>((quiet(fred)<~>~old(fred))))&
(![X]:((funny(X)&tall(X))<=>(old(X)|~rich(X))))&
(((~happy(mary)&patient(mary)))=>(?[X]:(generous(X))))&
(![X]:((~funny(X)|~tall(X))<=>(creative(X)&patient(X))))&
((curious(lucy))<=>(?[X]:((calm(X)|generous(X)))... | strong(fred) | [] | null | 0 |
If someone is both not tall and not calm then someone is not brave or not curious.
Everyone who is not calm or rich is both quiet and patient.
Everyone who is both not wise and tall is either not wise or not calm and vice versa.
If susan is kind or not calm then someone is both wise and not generous.
Everyone who is no... | John is curious. | neutral | ((?[X]:((~tall(X)&~calm(X))))=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((~calm(X)|rich(X))=>(quiet(X)&patient(X))))&
(![X]:((~wise(X)&tall(X))<=>(~wise(X)<~>~calm(X))))&
(((kind(susan)|~calm(susan)))=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:(~calm(X)<=>creative(X)))&
((~creative(paul))<=>(calm(fred)))&
((?[X]:((~rich(... | curious(john) | [] | null | 0 |
If lucy is either not old or wise then someone is either not humble or wise. If susan is either patient or brave then john is either wise or not curious and vice versa. Everyone who is not patient is both tall and patient. If fred is either not old or calm then john is creative and vice versa. If alice is either genero... | John is calm. | entailment | (((~old(lucy)<~>wise(lucy)))=>(?[X]:((~humble(X)<~>wise(X)))))&
(((patient(susan)<~>brave(susan)))<=>((wise(john)<~>~curious(john))))&
(![X]:(~patient(X)=>(tall(X)&patient(X))))&
(((~old(fred)<~>calm(fred)))<=>(creative(john)))&
(((generous(alice)<~>~funny(alice)))<=>(?[X]:((old(X)&creative(X)))))&
(![X]:((happy(X)&~wi... | calm(john) | [
"p2",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7435801918507980270413321
% SZS output start Proof for 7435801918507980270413321
3. ! [X0] : (~patient(X0) => (patient(X0) & tall(X0))) [input p2]
8. ! [X0] : ((generous(X0) | patient(X0)) => (calm(X0) <~> ~happy(X0))) [input p7]
21. happy(john) <~> ~patient(john) [input p20]
25. ~calm(jo... | 0 |
Everyone who is either brave or not brave is both not quiet and brave.
Everyone who is happy or rich is not happy.
Everyone who is not happy is not patient or not humble.
If someone is either not rich or calm then lucy is creative or not tall and vice versa.
Everyone who is generous or happy is not quiet and vice versa... | Mary is brave. | entailment | (![X]:((brave(X)<~>~brave(X))=>(~quiet(X)&brave(X))))&
(![X]:((happy(X)|rich(X))=>~happy(X)))&
(![X]:(~happy(X)=>(~patient(X)|~humble(X))))&
((?[X]:((~rich(X)<~>calm(X))))<=>((creative(lucy)|~tall(lucy))))&
(![X]:((generous(X)|happy(X))<=>~quiet(X)))&
(![X]:((~creative(X)&calm(X))<=>(brave(X)|~funny(X))))&
(((~strong(m... | brave(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5037558146507945891456935
% SZS output start Proof for 5037558146507945891456935
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (brave(X0) & ~quiet(X0))) [input p0]
23. ~brave(mary) [input hypothesis]
28. ! [X0] : ((brave(X0) & ~quiet(X0)) | (brave(X0) <=> ~brave(X0))) [ennf transformation 1]... | 0 |
Everyone who is either not brave or quiet is not creative.
Everyone who is either not creative or kind is not happy or not patient and vice versa.
If mary is not quiet then someone is both not creative and creative and vice versa.
Everyone who is creative or not funny is both strong and wise.
If susan is tall or genero... | Mary is not strong. | neutral | (![X]:((~brave(X)<~>quiet(X))=>~creative(X)))&
(![X]:((~creative(X)<~>kind(X))<=>(~happy(X)|~patient(X))))&
((~quiet(mary))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((creative(X)|~funny(X))=>(strong(X)&wise(X))))&
(((tall(susan)|generous(susan)))=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&~brave(X))=>patient(X)))&
(((h... | ~strong(mary) | [] | null | 0 |
If fred is both not generous and humble then john is happy or tall and vice versa.
Everyone who is kind or not happy is either not quiet or kind.
Everyone who is either funny or humble is not humble or not wise and vice versa.
Everyone who is not quiet is not generous or funny.
If mary is either generous or strong then... | Paul is not curious. | contradiction | (((~generous(fred)&humble(fred)))<=>((happy(john)|tall(john))))&
(![X]:((kind(X)|~happy(X))=>(~quiet(X)<~>kind(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:(~quiet(X)=>(~generous(X)|funny(X))))&
(((generous(mary)<~>strong(mary)))<=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:((~brave(X)<~>calm(X))... | ~curious(paul) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6801363915594762119350321
% SZS output start Proof for 6801363915594762119350321
9. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (old(X0) | ~curious(X0))) [input p8]
19. ~brave(paul) [input p18]
25. ~curious(paul) [input hypothesis]
54. ! [X0] : (((brave(X0) & ~funny(X0)) | (~old(X0) & curious(... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is both old and patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone ... | Paul is kind. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)&patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | kind(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 269918579429652326387541
% SZS output start Proof for 269918579429652326387541
4. ! [X0] : ((generous(X0) | ~kind(X0)) <=> calm(X0)) [input p3]
8. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & ~humble(X0))) [input p7]
22. ~kind(paul) [input hypothesis]
36. ! [X0] : (((generous(X0) |... | 0 |
Everyone who is either calm or not funny is not curious and vice versa.
Everyone who is both generous and curious is funny and vice versa.
Everyone who is both not quiet and not happy is not old.
If someone is not strong or not tall then someone is curious or not quiet and vice versa.
If mary is curious then alice is n... | Mary is not funny. | entailment | (![X]:((calm(X)<~>~funny(X))<=>~curious(X)))&
(![X]:((generous(X)&curious(X))<=>funny(X)))&
(![X]:((~quiet(X)&~happy(X))=>~old(X)))&
((?[X]:((~strong(X)|~tall(X))))<=>(?[X]:((curious(X)|~quiet(X)))))&
((curious(mary))<=>((~funny(alice)|~calm(alice))))&
(![X]:(~patient(X)=>~calm(X)))&
(![X]:((rich(X)<~>~strong(X))=>(pat... | ~funny(mary) | [
"p1",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4586974148701265616830575
% SZS output start Proof for 4586974148701265616830575
2. ! [X0] : ((curious(X0) & generous(X0)) <=> funny(X0)) [input p1]
17. ~generous(mary) <~> ~patient(mary) [input p16]
18. ~wise(mary) & patient(mary) [input p17]
25. funny(mary) [input hypothesis]
40. ! [X0]... | 0 |
Everyone who is patient or not curious is curious and vice versa.
Everyone who is not generous is both not wise and patient.
If someone is either quiet or not brave then john is either tall or not calm and vice versa.
Everyone who is both not humble and strong is not strong and vice versa.
Everyone who is both not brav... | Alice is brave. | contradiction | (![X]:((patient(X)|~curious(X))<=>curious(X)))&
(![X]:(~generous(X)=>(~wise(X)&patient(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>((tall(john)<~>~calm(john))))&
(![X]:((~humble(X)&strong(X))<=>~strong(X)))&
(![X]:((~brave(X)&~quiet(X))=>(quiet(X)|~creative(X))))&
(![X]:((~wise(X)|quiet(X))<=>~creative(X)))&
(![X]:((quie... | brave(alice) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2413795401375040390288644
% SZS output start Proof for 2413795401375040390288644
1. ! [X0] : ((~curious(X0) | patient(X0)) <=> curious(X0)) [input p0]
14. ! [X0] : (brave(X0) <=> ~curious(X0)) [input p13]
24. brave(alice) [input hypothesis]
35. ! [X0] : (((~curious(X0) | patient(X0)) | ~c... | 0 |
Everyone who is not calm is both patient and humble.
Everyone who is both brave and old is either humble or not curious and vice versa.
Everyone who is either old or generous is not brave.
Everyone who is brave is either not curious or tall.
If someone is either not old or not rich then someone is either not brave or n... | Mary is wise. | contradiction | (![X]:(~calm(X)=>(patient(X)&humble(X))))&
(![X]:((brave(X)&old(X))<=>(humble(X)<~>~curious(X))))&
(![X]:((old(X)<~>generous(X))=>~brave(X)))&
(![X]:(brave(X)=>(~curious(X)<~>tall(X))))&
((?[X]:((~old(X)<~>~rich(X))))=>(?[X]:((~brave(X)<~>~curious(X)))))&
((?[X]:((~humble(X)<~>~strong(X))))<=>((curious(lucy)<~>rich(luc... | wise(mary) | [
"p1",
"p3",
"p7",
"p10",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5780740201988735466704773
% SZS output start Proof for 5780740201988735466704773
2. ! [X0] : ((old(X0) & brave(X0)) <=> (humble(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : (brave(X0) => (~curious(X0) <~> tall(X0))) [input p3]
8. ? [X0] : (~happy(X0) | ~generous(X0)) => (~happy(mary) & ~... | 0 |
Everyone who is both not rich and patient is either kind or not old. Everyone who is both not quiet and not humble is not humble or not curious. If someone is both old and not quiet then paul is both not quiet and not generous. Everyone who is brave is both not old and wise. Everyone who is either happy or quiet is not... | Lucy is not quiet. | entailment | (![X]:((~rich(X)&patient(X))=>(kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&~humble(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)&~quiet(X))))=>((~quiet(paul)&~generous(paul))))&
(![X]:(brave(X)=>(~old(X)&wise(X))))&
(![X]:((happy(X)<~>quiet(X))<=>~wise(X)))&
(((calm(paul)&~curious(paul)))<=>(?[X]:((~kind(X)&~wise(X)))))... | ~quiet(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 146119490018187412047362
% SZS output start Proof for 146119490018187412047362
12. ! [X0] : ((calm(X0) | ~calm(X0)) <=> ~quiet(X0)) [input p11]
24. quiet(lucy) [input hypothesis]
47. ! [X0] : (((calm(X0) | ~calm(X0)) | quiet(X0)) & (~quiet(X0) | (~calm(X0) & calm(X0)))) [nnf transformatio... | 0 |
Everyone who is brave or generous is both strong and patient. Everyone who is both tall and not creative is either not strong or wise. Everyone who is brave is quiet and vice versa. Everyone who is humble is not wise. If paul is either tall or curious then paul is not strong and vice versa. If alice is either humble or... | Paul is not calm. | neutral | (![X]:((brave(X)|generous(X))=>(strong(X)&patient(X))))&
(![X]:((tall(X)&~creative(X))=>(~strong(X)<~>wise(X))))&
(![X]:(brave(X)<=>quiet(X)))&
(![X]:(humble(X)=>~wise(X)))&
(((tall(paul)<~>curious(paul)))<=>(~strong(paul)))&
(((humble(alice)<~>~kind(alice)))=>(~patient(alice)))&
((?[X]:((curious(X)<~>happy(X))))=>((~s... | ~calm(paul) | [] | null | 0 |
If mary is either patient or not strong then someone is both not happy and happy.
Everyone who is either not rich or creative is not tall and vice versa.
Everyone who is both not old and not creative is both not old and not curious and vice versa.
Everyone who is both calm and not patient is old or not curious and vice... | John is generous. | neutral | (((patient(mary)<~>~strong(mary)))=>(?[X]:((~happy(X)&happy(X)))))&
(![X]:((~rich(X)<~>creative(X))<=>~tall(X)))&
(![X]:((~old(X)&~creative(X))<=>(~old(X)&~curious(X))))&
(![X]:((calm(X)&~patient(X))<=>(old(X)|~curious(X))))&
((?[X]:((generous(X)<~>strong(X))))<=>(?[X]:((old(X)&~brave(X)))))&
(![X]:((funny(X)<~>~humble... | generous(john) | [] | null | 0 |
If alice is either happy or not funny then mary is either not creative or rich and vice versa.
If someone is both rich and happy then someone is either curious or calm.
If someone is not old or quiet then someone is not wise.
If lucy is generous or quiet then someone is both not wise and not happy and vice versa.
Every... | Mary is humble. | neutral | (((happy(alice)<~>~funny(alice)))<=>((~creative(mary)<~>rich(mary))))&
((?[X]:((rich(X)&happy(X))))=>(?[X]:((curious(X)<~>calm(X)))))&
((?[X]:((~old(X)|quiet(X))))=>(?[X]:(~wise(X))))&
(((generous(lucy)|quiet(lucy)))<=>(?[X]:((~wise(X)&~happy(X)))))&
(![X]:((brave(X)&kind(X))=>(brave(X)|~funny(X))))&
(![X]:((~creative(... | humble(mary) | [] | null | 0 |
If alice is calm or not wise then john is strong and vice versa.
Everyone who is both not kind and creative is calm or not creative.
Everyone who is not happy is either creative or calm and vice versa.
If fred is either strong or not curious then someone is old or not quiet and vice versa.
Everyone who is both not old ... | Paul is patient. | neutral | (((calm(alice)|~wise(alice)))<=>(strong(john)))&
(![X]:((~kind(X)&creative(X))=>(calm(X)|~creative(X))))&
(![X]:(~happy(X)<=>(creative(X)<~>calm(X))))&
(((strong(fred)<~>~curious(fred)))<=>(?[X]:((old(X)|~quiet(X)))))&
(![X]:((~old(X)&generous(X))<=>~brave(X)))&
(![X]:((quiet(X)<~>wise(X))=>(~wise(X)<~>~funny(X))))&
(!... | patient(paul) | [] | null | 0 |
If someone is not curious or quiet then alice is both brave and curious.
If someone is either not calm or not quiet then someone is not strong.
If lucy is not brave then alice is strong or tall and vice versa.
Everyone who is both brave and patient is either not strong or wise and vice versa.
Everyone who is both brave... | Lucy is brave. | contradiction | ((?[X]:((~curious(X)|quiet(X))))=>((brave(alice)&curious(alice))))&
((?[X]:((~calm(X)<~>~quiet(X))))=>(?[X]:(~strong(X))))&
((~brave(lucy))<=>((strong(alice)|tall(alice))))&
(![X]:((brave(X)&patient(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((brave(X)&~old(X))<=>(~rich(X)|~old(X))))&
(![X]:((~curious(X)&~strong(X))<=>patie... | brave(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2960168446749259123311329
% SZS output start Proof for 2960168446749259123311329
1. ? [X0] : (quiet(X0) | ~curious(X0)) => (curious(alice) & brave(alice)) [input p0]
3. ~brave(lucy) <=> (tall(alice) | strong(alice)) [input p2]
4. ! [X0] : ((patient(X0) & brave(X0)) <=> (~strong(X0) <~> wi... | 0 |
Everyone who is not curious is quiet.
Everyone who is either curious or strong is not wise or not funny and vice versa.
If mary is either not funny or not calm then someone is not rich and vice versa.
If fred is either old or wise then paul is not calm and vice versa.
Everyone who is either not brave or tall is both wi... | Mary is rich. | neutral | (![X]:(~curious(X)=>quiet(X)))&
(![X]:((curious(X)<~>strong(X))<=>(~wise(X)|~funny(X))))&
(((~funny(mary)<~>~calm(mary)))<=>(?[X]:(~rich(X))))&
(((old(fred)<~>wise(fred)))<=>(~calm(paul)))&
(![X]:((~brave(X)<~>tall(X))<=>(wise(X)&happy(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~generous(X)|~patient(X))))&
(![X]:(strong... | rich(mary) | [] | null | 0 |
Everyone who is either brave or not generous is not old or not quiet.
Everyone who is not old is both curious and tall.
If someone is both not happy and generous then lucy is not rich and vice versa.
If someone is not funny then alice is both not tall and strong and vice versa.
If someone is generous then susan is both... | Alice is not quiet. | entailment | (![X]:((brave(X)<~>~generous(X))=>(~old(X)|~quiet(X))))&
(![X]:(~old(X)=>(curious(X)&tall(X))))&
((?[X]:((~happy(X)&generous(X))))<=>(~rich(lucy)))&
((?[X]:(~funny(X)))<=>((~tall(alice)&strong(alice))))&
((?[X]:(generous(X)))<=>((~funny(susan)&calm(susan))))&
(((~rich(mary)&old(mary)))=>((~calm(susan)|~tall(susan))))&
... | ~quiet(alice) | [
"p3",
"p4",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5294177482148123594151970
% SZS output start Proof for 5294177482148123594151970
4. ? [X0] : ~funny(X0) <=> (strong(alice) & ~tall(alice)) [input p3]
5. ? [X0] : generous(X0) <=> (calm(susan) & ~funny(susan)) [input p4]
12. ? [X0] : (funny(X0) | humble(X0)) <=> ? [X0] : (quiet(X0) & gener... | 0 |
Everyone who is either not quiet or calm is both calm and not wise.
If susan is either not curious or not old then someone is both creative and not brave.
Everyone who is generous or funny is either not old or not quiet.
If fred is strong then someone is either not curious or not patient.
If paul is both strong and pat... | Susan is curious. | neutral | (![X]:((~quiet(X)<~>calm(X))=>(calm(X)&~wise(X))))&
(((~curious(susan)<~>~old(susan)))=>(?[X]:((creative(X)&~brave(X)))))&
(![X]:((generous(X)|funny(X))=>(~old(X)<~>~quiet(X))))&
((strong(fred))=>(?[X]:((~curious(X)<~>~patient(X)))))&
(((strong(paul)&patient(paul)))<=>(?[X]:((~kind(X)|~humble(X)))))&
((?[X]:((~quiet(X)... | curious(susan) | [] | null | 0 |
If john is happy or old then someone is creative. Everyone who is not brave is curious or not brave. If someone is creative or brave then alice is both tall and not funny. Everyone who is both brave and old is either not humble or not happy and vice versa. Everyone who is not old is both tall and kind and vice versa. E... | Alice is creative. | contradiction | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(~brave(X)=>(curious(X)|~brave(X))))&
((?[X]:((creative(X)|brave(X))))=>((tall(alice)&~funny(alice))))&
(![X]:((brave(X)&old(X))<=>(~humble(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(tall(X)&kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(kind(X)<~>~old(X))))&
(![X]:((wis... | creative(alice) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5607745295486424285979476
% SZS output start Proof for 5607745295486424285979476
3. ? [X0] : (brave(X0) | creative(X0)) => (~funny(alice) & tall(alice)) [input p2]
4. ! [X0] : ((old(X0) & brave(X0)) <=> (~humble(X0) <~> ~happy(X0))) [input p3]
5. ! [X0] : (~old(X0) <=> (kind(X0) & tall(X0... | 0 |
Everyone who is either not curious or not funny is both not tall and funny.
If someone is not wise or not kind then someone is not rich.
If someone is brave or curious then fred is either not happy or not brave.
If john is both patient and not funny then someone is not old or not tall and vice versa.
Everyone who is bo... | Lucy is brave. | neutral | (![X]:((~curious(X)<~>~funny(X))=>(~tall(X)&funny(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred)<~>~brave(fred))))&
(((patient(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~brave(X)&happy(X))<=>(humble(X)|~tall(X))))&
(((brave(john)&generous(joh... | brave(lucy) | [] | null | 0 |
If paul is both quiet and not calm then someone is rich. If someone is either wise or not creative then someone is both creative and not wise. If someone is not quiet or not rich then someone is both calm and not kind and vice versa. If john is either creative or patient then fred is both not generous and not strong. I... | Alice is creative. | contradiction | (((quiet(paul)&~calm(paul)))=>(?[X]:(rich(X))))&
((?[X]:((wise(X)<~>~creative(X))))=>(?[X]:((creative(X)&~wise(X)))))&
((?[X]:((~quiet(X)|~rich(X))))<=>(?[X]:((calm(X)&~kind(X)))))&
(((creative(john)<~>patient(john)))=>((~generous(fred)&~strong(fred))))&
((~brave(alice))<=>((old(susan)|patient(susan))))&
((funny(john))... | creative(alice) | [
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7139810040774071877369928
% SZS output start Proof for 7139810040774071877369928
7. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> ~creative(X0)) [input p6]
8. ! [X0] : ((patient(X0) | happy(X0)) <=> (patient(X0) <~> ~rich(X0))) [input p7]
10. ? [X0] : (~quiet(X0) | ~patient(X0)) => (~creative(... | 0 |
If fred is either not rich or not strong then someone is not wise or calm and vice versa.
Everyone who is not strong or brave is either not generous or not old and vice versa.
If lucy is either quiet or not curious then someone is not brave and vice versa.
If alice is calm then someone is patient or old and vice versa.... | Paul is not funny. | neutral | (((~rich(fred)<~>~strong(fred)))<=>(?[X]:((~wise(X)|calm(X)))))&
(![X]:((~strong(X)|brave(X))<=>(~generous(X)<~>~old(X))))&
(((quiet(lucy)<~>~curious(lucy)))<=>(?[X]:(~brave(X))))&
((calm(alice))<=>(?[X]:((patient(X)|old(X)))))&
((?[X]:((generous(X)&old(X))))<=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((strong(X)|~rich(X)... | ~funny(paul) | [] | null | 0 |
Everyone who is either not old or old is either happy or rich.
If paul is calm or tall then mary is calm.
If someone is not brave then susan is old and vice versa.
If mary is not strong or not creative then someone is not creative or funny and vice versa.
Everyone who is both strong and not calm is both not rich and ki... | John is patient. | contradiction | (![X]:((~old(X)<~>old(X))=>(happy(X)<~>rich(X))))&
(((calm(paul)|tall(paul)))=>(calm(mary)))&
((?[X]:(~brave(X)))<=>(old(susan)))&
(((~strong(mary)|~creative(mary)))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((strong(X)&~calm(X))=>(~rich(X)&kind(X))))&
(![X]:(strong(X)<=>(generous(X)&funny(X))))&
((?[X]:((old(X)<~>~ge... | patient(john) | [
"p0",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6691358821744031959105791
% SZS output start Proof for 6691358821744031959105791
1. ! [X0] : ((~old(X0) <~> old(X0)) => (happy(X0) <~> rich(X0))) [input p0]
9. ! [X0] : ((~happy(X0) | rich(X0)) <=> (generous(X0) & ~rich(X0))) [input p8]
15. (humble(john) | patient(john)) => ? [X0] : (~hap... | 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 happy and not patient and vice versa.
Everyone who is not tall or not calm is either not strong or curious and vice versa.
If alice is strong or happy then someone is not tall or... | Susan is not patient. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>curious(X))))&
(((strong(alice)|happy(alice)))<=>(?[X]:((~tall(X)|~humble(X)))))&
(((~creative(paul)&~generous(paul)))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]... | ~patient(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5166038667309392592799251
% SZS output start Proof for 5166038667309392592799251
6. ! [X0] : ((patient(X0) | rich(X0)) => (~humble(X0) & humble(X0))) [input p5]
24. patient(susan) [input hypothesis]
31. ! [X0] : ((~humble(X0) & humble(X0)) | (~patient(X0) & ~rich(X0))) [ennf transformatio... | 0 |
If lucy is not rich or not generous then someone is not brave and vice versa.
Everyone who is both not patient and strong is tall or not funny and vice versa.
If fred is funny or wise then someone is either patient or not generous and vice versa.
If someone is not quiet or brave then fred is curious or old and vice ver... | Susan is brave. | contradiction | (((~rich(lucy)|~generous(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~patient(X)&strong(X))<=>(tall(X)|~funny(X))))&
(((funny(fred)|wise(fred)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
((?[X]:((~quiet(X)|brave(X))))<=>((curious(fred)|old(fred))))&
((~patient(paul))=>(?[X]:(brave(X))))&
(![X]:((curious(X)&rich(X))=>~brave(X... | brave(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5672026975055311723639762
% SZS output start Proof for 5672026975055311723639762
14. ? [X0] : (brave(X0) | ~creative(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) [input p13]
24. brave(susan) [input hypothesis]
26. ? [X0] : (brave(X0) | ~creative(X0)) => ? [X1] : (tall(X1) & ~tall(X1)) [rectify... | 0 |
If john is strong then john is either kind or not calm.
Everyone who is either not patient or not funny is either not funny or strong.
Everyone who is both not curious and not brave is either not strong or curious.
If mary is patient then paul is not generous or wise and vice versa.
Everyone who is both not kind and ge... | Lucy is not humble. | entailment | ((strong(john))=>((kind(john)<~>~calm(john))))&
(![X]:((~patient(X)<~>~funny(X))=>(~funny(X)<~>strong(X))))&
(![X]:((~curious(X)&~brave(X))=>(~strong(X)<~>curious(X))))&
((patient(mary))<=>((~generous(paul)|wise(paul))))&
(![X]:((~kind(X)&generous(X))<=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(ali... | ~humble(lucy) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2582812522120486472949957
% SZS output start Proof for 2582812522120486472949957
11. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p10]
15. ! [X0] : (~creative(X0) <=> (humble(X0) & brave(X0))) [input p14]
24. humble(lucy) [input hypothesis]
53. ! [X0] : ((~brave(X0) | creative(X0)) & (~... | 0 |
If alice is quiet then fred is not humble.
Everyone who is either happy or not tall is not humble or not old and vice versa.
If susan is either strong or not calm then paul is both creative and curious and vice versa.
If susan is wise then someone is humble and vice versa.
Everyone who is not calm is not curious or not... | Fred is quiet. | contradiction | ((quiet(alice))=>(~humble(fred)))&
(![X]:((happy(X)<~>~tall(X))<=>(~humble(X)|~old(X))))&
(((strong(susan)<~>~calm(susan)))<=>((creative(paul)&curious(paul))))&
((wise(susan))<=>(?[X]:(humble(X))))&
(![X]:(~calm(X)<=>(~curious(X)|~tall(X))))&
(![X]:((curious(X)|wise(X))<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<... | quiet(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1172445602225308507119607
% SZS output start Proof for 1172445602225308507119607
13. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p12]
23. quiet(fred) [input hypothesis]
63. ! [X0] : ((patient(X0) | (~quiet(X0) | patient(X0))) & ((quiet(X0) & ~patient(X0)) | ~patient(X0)))... | 0 |
Everyone who is rich is not brave or not funny.
Everyone who is strong or curious is not funny.
Everyone who is creative or calm is not patient.
If mary is both funny and not happy then someone is not generous or tall.
If someone is not humble then alice is either not tall or funny and vice versa.
Everyone who is both ... | John is not kind. | neutral | (![X]:(rich(X)=>(~brave(X)|~funny(X))))&
(![X]:((strong(X)|curious(X))=>~funny(X)))&
(![X]:((creative(X)|calm(X))=>~patient(X)))&
(((funny(mary)&~happy(mary)))=>(?[X]:((~generous(X)|tall(X)))))&
((?[X]:(~humble(X)))<=>((~tall(alice)<~>funny(alice))))&
(![X]:((~strong(X)&rich(X))<=>(happy(X)&~creative(X))))&
(![X]:((qui... | ~kind(john) | [] | null | 0 |
If someone is both old and quiet then someone is humble and vice versa. Everyone who is either calm or funny is either wise or not kind and vice versa. Everyone who is quiet or not wise is not happy or old. If mary is either humble or not old then paul is either old or not calm and vice versa. Everyone who is not happy... | Fred is old. | neutral | ((?[X]:((old(X)&quiet(X))))<=>(?[X]:(humble(X))))&
(![X]:((calm(X)<~>funny(X))<=>(wise(X)<~>~kind(X))))&
(![X]:((quiet(X)|~wise(X))=>(~happy(X)|old(X))))&
(((humble(mary)<~>~old(mary)))<=>((old(paul)<~>~calm(paul))))&
(![X]:(~happy(X)<=>(~rich(X)|~quiet(X))))&
(![X]:((~old(X)&~generous(X))<=>~wise(X)))&
(![X]:((~wise(X... | old(fred) | [] | null | 0 |
Everyone who is both not calm and humble is both not wise and quiet and vice versa.
If someone is not wise or not old then fred is either creative or not brave and vice versa.
If alice is not calm or not happy then john is patient.
Everyone who is not generous is quiet or not kind and vice versa.
If someone is happy th... | Lucy is not curious. | neutral | (![X]:((~calm(X)&humble(X))<=>(~wise(X)&quiet(X))))&
((?[X]:((~wise(X)|~old(X))))<=>((creative(fred)<~>~brave(fred))))&
(((~calm(alice)|~happy(alice)))=>(patient(john)))&
(![X]:(~generous(X)<=>(quiet(X)|~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)<~>funny(X)))))&
(![X]:(~curious(X)<=>(~curious(X)<~>funny(X))))&
(!... | ~curious(lucy) | [] | null | 0 |
Everyone who is both not humble and not tall is not humble or not wise.
If alice is not rich then someone is not rich or generous and vice versa.
Everyone who is strong is calm or not creative.
If lucy is both not brave and funny then someone is not kind.
If someone is either not kind or wise then john is either not ta... | Lucy is strong. | contradiction | (![X]:((~humble(X)&~tall(X))=>(~humble(X)|~wise(X))))&
((~rich(alice))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:(strong(X)=>(calm(X)|~creative(X))))&
(((~brave(lucy)&funny(lucy)))=>(?[X]:(~kind(X))))&
((?[X]:((~kind(X)<~>wise(X))))<=>((~tall(john)<~>strong(john))))&
((?[X]:((~quiet(X)|~calm(X))))=>(~funny(fred)))&
(((... | strong(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4460119354365306426116891
% SZS output start Proof for 4460119354365306426116891
14. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p13]
24. strong(lucy) [input hypothesis]
64. ! [X0] : (((happy(X0) & ~strong(X0)) | ((kind(X0) | kind(X0)) & (~kind(X0) | ~kind(X0)... | 0 |
Everyone who is both tall and creative is old or quiet and vice versa. If alice is old then fred is not tall or not rich. If mary is calm then someone is not calm or rich and vice versa. Everyone who is not humble is not patient or not creative and vice versa. Everyone who is not patient is either creative or not calm.... | Paul is quiet. | neutral | (![X]:((tall(X)&creative(X))<=>(old(X)|quiet(X))))&
((old(alice))=>((~tall(fred)|~rich(fred))))&
((calm(mary))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:(~humble(X)<=>(~patient(X)|~creative(X))))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~funny(X)|rich(X))))=>((~calm(john)|creative(john))))&
(![X]:(strong(X... | quiet(paul) | [] | null | 0 |
Everyone who is not quiet or not calm is either not rich or brave and vice versa.
Everyone who is both not tall and wise is not wise.
Everyone who is kind or not rich is quiet and vice versa.
If someone is quiet or not rich then someone is not rich.
Everyone who is not generous is not quiet or not patient.
If mary is e... | Susan is not quiet. | contradiction | (![X]:((~quiet(X)|~calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~tall(X)&wise(X))=>~wise(X)))&
(![X]:((kind(X)|~rich(X))<=>quiet(X)))&
((?[X]:((quiet(X)|~rich(X))))=>(?[X]:(~rich(X))))&
(![X]:(~generous(X)=>(~quiet(X)|~patient(X))))&
(((~creative(mary)<~>kind(mary)))=>((~rich(paul)|curious(paul))))&
(![X]:((~quiet(X)<~>... | ~quiet(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7526474388600596866765239
% SZS output start Proof for 7526474388600596866765239
7. ! [X0] : ((~quiet(X0) <~> wise(X0)) <=> wise(X0)) [input p6]
24. ~quiet(susan) [input hypothesis]
43. ! [X0] : ((((~wise(X0) | quiet(X0)) & (wise(X0) | ~quiet(X0))) | ~wise(X0)) & (wise(X0) | ((~quiet(X0) ... | 0 |
If paul is either strong or not patient then someone is both happy and funny and vice versa. If someone is rich then john is not strong and vice versa. If someone is both not old and calm then fred is either strong or happy and vice versa. Everyone who is both not kind and generous is either not kind or patient. Everyo... | Fred is not humble. | entailment | (((strong(paul)<~>~patient(paul)))<=>(?[X]:((happy(X)&funny(X)))))&
((?[X]:(rich(X)))<=>(~strong(john)))&
((?[X]:((~old(X)&calm(X))))<=>((strong(fred)<~>happy(fred))))&
(![X]:((~kind(X)&generous(X))=>(~kind(X)<~>patient(X))))&
(![X]:((strong(X)|curious(X))<=>(strong(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>(ta... | ~humble(fred) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2475155474695371637639316
% SZS output start Proof for 2475155474695371637639316
16. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~humble(X0)) [input p15]
19. ~old(fred) & ~brave(fred) [input p18]
24. humble(fred) [input hypothesis]
69. ! [X0] : (((~brave(X0) | ~strong(X0)) | humble(X0)) & (~... | 0 |
If someone is happy or not humble then someone is either not creative or happy.
Everyone who is strong or not rich is either not wise or not old.
Everyone who is not creative is not creative or not patient.
If john is both not brave and not old then susan is strong and vice versa.
Everyone who is not kind or not happy ... | John is not curious. | entailment | ((?[X]:((happy(X)|~humble(X))))=>(?[X]:((~creative(X)<~>happy(X)))))&
(![X]:((strong(X)|~rich(X))=>(~wise(X)<~>~old(X))))&
(![X]:(~creative(X)=>(~creative(X)|~patient(X))))&
(((~brave(john)&~old(john)))<=>(strong(susan)))&
(![X]:((~kind(X)|~happy(X))=>(~tall(X)&~curious(X))))&
(((wise(john)<~>~patient(john)))<=>(strong... | ~curious(john) | [
"p1",
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5764807694767937244373835
% SZS output start Proof for 5764807694767937244373835
2. ! [X0] : ((~rich(X0) | strong(X0)) => (~wise(X0) <~> ~old(X0))) [input p1]
5. ! [X0] : ((~happy(X0) | ~kind(X0)) => (~curious(X0) & ~tall(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> ~old(X0)) <=> (curious(... | 0 |
Everyone who is not brave is either not quiet or quiet.
Everyone who is either patient or not funny is funny and vice versa.
If someone is either rich or not quiet then paul is not humble.
If someone is either strong or curious then someone is not funny or not wise.
Everyone who is either funny or wise is patient.
Ever... | Susan is not strong. | entailment | (![X]:(~brave(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(~humble(paul)))&
((?[X]:((strong(X)<~>curious(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((funny(X)<~>wise(X))=>patient(X)))&
(![X]:((humble(X)<~>~generous(X))<=>~creative(X)))&
(![X]:((humble(X... | ~strong(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5064230198217951511246941
% SZS output start Proof for 5064230198217951511246941
2. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p1]
6. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~creative(X0)) [input p5]
11. ? [X0] : (~curious(X0) | ~kind(X0)) <=> (~patient(lucy) | gene... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is either creative or not calm and vice versa.
If someone is either curious or creative then susan is either calm or creative.
If mary is generous then someone is not... | Lucy is brave. | contradiction | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)... | brave(lucy) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4113147115785298862493341
% SZS output start Proof for 4113147115785298862493341
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (rich(X0) <=> (creative(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p6]
9. ! [X0] : ... | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Mary is old. | neutral | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | old(mary) | [] | null | 0 |
Everyone who is brave or not curious is old. Everyone who is either not rich or not strong is both not tall and tall. Everyone who is not humble or not rich is rich or not happy. If mary is both curious and wise then someone is quiet or not funny and vice versa. Everyone who is not patient or not funny is either patien... | Alice is not quiet. | entailment | (![X]:((brave(X)|~curious(X))=>old(X)))&
(![X]:((~rich(X)<~>~strong(X))=>(~tall(X)&tall(X))))&
(![X]:((~humble(X)|~rich(X))=>(rich(X)|~happy(X))))&
(((curious(mary)&wise(mary)))<=>(?[X]:((quiet(X)|~funny(X)))))&
(![X]:((~patient(X)|~funny(X))=>(patient(X)<~>happy(X))))&
(((~humble(alice)|~patient(alice)))=>(?[X]:((~str... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 561098933446412348549002
% SZS output start Proof for 561098933446412348549002
1. ! [X0] : ((~curious(X0) | brave(X0)) => old(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> ~strong(X0)) => (tall(X0) & ~tall(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~humble(X0)) => (~happy(X0) | rich(X0))) [... | 0 |
Everyone who is either not wise or not brave is old and vice versa.
Everyone who is both not humble and not funny is either old or quiet.
If john is either not generous or not quiet then someone is either wise or patient.
Everyone who is generous is either old or generous and vice versa.
If someone is both old and not ... | John is not humble. | neutral | (![X]:((~wise(X)<~>~brave(X))<=>old(X)))&
(![X]:((~humble(X)&~funny(X))=>(old(X)<~>quiet(X))))&
(((~generous(john)<~>~quiet(john)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(generous(X)<=>(old(X)<~>generous(X))))&
((?[X]:((old(X)&~patient(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(patient(X)))<=>((old(paul)|ki... | ~humble(john) | [] | null | 0 |
If someone is not curious then paul is not patient or happy and vice versa.
If someone is either not strong or not wise then john is both not patient and funny.
Everyone who is both calm and creative is strong and vice versa.
Everyone who is not calm or patient is not kind and vice versa.
Everyone who is both not rich ... | Alice is kind. | contradiction | ((?[X]:(~curious(X)))<=>((~patient(paul)|happy(paul))))&
((?[X]:((~strong(X)<~>~wise(X))))=>((~patient(john)&funny(john))))&
(![X]:((calm(X)&creative(X))<=>strong(X)))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~rich(X)&~funny(X))=>~tall(X)))&
(((~funny(john)<~>calm(john)))<=>((calm(paul)|creative(paul))))&
(!... | kind(alice) | [
"p2",
"p3",
"p6",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 87027631467734232529858
% SZS output start Proof for 87027631467734232529858
3. ! [X0] : ((creative(X0) & calm(X0)) <=> strong(X0)) [input p2]
4. ! [X0] : ((patient(X0) | ~calm(X0)) <=> ~kind(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | humble(X0)) => (curious(X0) & ~calm(X0))) [input p6]
2... | 0 |
If john is either calm or not calm then susan is humble or not generous and vice versa.
Everyone who is either not quiet or not humble is either not curious or old and vice versa.
Everyone who is brave is both quiet and humble and vice versa.
If someone is calm or funny then someone is either funny or generous and vice... | Alice is not curious. | neutral | (((calm(john)<~>~calm(john)))<=>((humble(susan)|~generous(susan))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~curious(X)<~>old(X))))&
(![X]:(brave(X)<=>(quiet(X)&humble(X))))&
((?[X]:((calm(X)|funny(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((~wise(X)|creative(X))<=>(wise(X)|~happy(X))))&
(![X]:((~brave(X)|~tall(X))... | ~curious(alice) | [] | null | 0 |
If someone is either happy or not curious then mary is either rich or not strong.
Everyone who is either happy or generous is both not happy and strong.
If someone is either not strong or brave then someone is curious or not old and vice versa.
If paul is either not strong or wise then paul is rich or not calm and vice... | Fred is creative. | entailment | ((?[X]:((happy(X)<~>~curious(X))))=>((rich(mary)<~>~strong(mary))))&
(![X]:((happy(X)<~>generous(X))=>(~happy(X)&strong(X))))&
((?[X]:((~strong(X)<~>brave(X))))<=>(?[X]:((curious(X)|~old(X)))))&
(((~strong(paul)<~>wise(paul)))<=>((rich(paul)|~calm(paul))))&
(((~rich(john)<~>~curious(john)))<=>(?[X]:((~wise(X)<~>~happy(... | creative(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3284275315264503149958137
% SZS output start Proof for 3284275315264503149958137
12. ? [X0] : (~creative(X0) | humble(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p11]
23. ~creative(fred) [input hypothesis]
25. ? [X0] : (~creative(X0) | humble(X0)) => ? [X1] : (~old(X1) & old(X1)) [rectif... | 0 |
Everyone who is both not wise and kind is either not funny or old and vice versa.
Everyone who is wise or funny is old or not generous.
Everyone who is both not kind and not rich is not humble.
If someone is both not funny and patient then someone is either not patient or calm and vice versa.
Everyone who is either hap... | John is not funny. | contradiction | (![X]:((~wise(X)&kind(X))<=>(~funny(X)<~>old(X))))&
(![X]:((wise(X)|funny(X))=>(old(X)|~generous(X))))&
(![X]:((~kind(X)&~rich(X))=>~humble(X)))&
((?[X]:((~funny(X)&patient(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((happy(X)<~>~wise(X))<=>old(X)))&
(![X]:(~old(X)=>(~strong(X)&funny(X))))&
(![X]:((~tall(X)&~gene... | ~funny(john) | [
"p0",
"p4",
"p5",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3270301595797836174886750
% SZS output start Proof for 3270301595797836174886750
1. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (~funny(X0) <~> old(X0))) [input p0]
5. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> old(X0)) [input p4]
6. ! [X0] : (~old(X0) => (funny(X0) & ~strong(X0))) [input p5]
12. !... | 0 |
Everyone who is not funny or tall is strong and vice versa.
Everyone who is either funny or not old is generous.
If lucy is both rich and funny then john is not tall and vice versa.
If someone is both not strong and kind then someone is happy and vice versa.
If john is both happy and not old then someone is either brav... | John is not strong. | entailment | (![X]:((~funny(X)|tall(X))<=>strong(X)))&
(![X]:((funny(X)<~>~old(X))=>generous(X)))&
(((rich(lucy)&funny(lucy)))<=>(~tall(john)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:(happy(X))))&
(((happy(john)&~old(john)))=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~humble(X)=>(generous(X)|kind(X))))&
((creative(mary))<=>(?[X]:((h... | ~strong(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1618533226139365012487594
% SZS output start Proof for 1618533226139365012487594
8. ! [X0] : (~patient(X0) <=> (patient(X0) & strong(X0))) [input p7]
22. strong(john) [input hypothesis]
53. ! [X0] : ((~patient(X0) | (~patient(X0) | ~strong(X0))) & ((patient(X0) & strong(X0)) | patient(X0)... | 0 |
If someone is either funny or patient then someone is either calm or not humble.
If someone is not quiet then someone is both quiet and happy and vice versa.
Everyone who is either not brave or calm is either not funny or humble and vice versa.
Everyone who is both not brave and funny is not humble.
Everyone who is not... | Alice is not wise. | contradiction | ((?[X]:((funny(X)<~>patient(X))))=>(?[X]:((calm(X)<~>~humble(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((~brave(X)<~>calm(X))<=>(~funny(X)<~>humble(X))))&
(![X]:((~brave(X)&funny(X))=>~humble(X)))&
(![X]:((~strong(X)|~quiet(X))=>(quiet(X)&~old(X))))&
(![X]:((~quiet(X)&~strong(X))=>(~patient(X)<... | ~wise(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4232103139396862082551174
% SZS output start Proof for 4232103139396862082551174
17. wise(alice) [input p16]
23. ~wise(alice) [input hypothesis]
128. wise(alice) [cnf transformation 17]
138. ~wise(alice) [cnf transformation 23]
185. 11 <=> wise(alice) [avatar definition]
261. 11 [avatar s... | 0 |
Everyone who is either not patient or happy is not curious or brave and vice versa.
If fred is not wise or happy then lucy is both strong and wise and vice versa.
If someone is tall then susan is not patient and vice versa.
If mary is humble or kind then paul is not rich or strong.
Everyone who is either humble or not ... | Paul is not funny. | entailment | (![X]:((~patient(X)<~>happy(X))<=>(~curious(X)|brave(X))))&
(((~wise(fred)|happy(fred)))<=>((strong(lucy)&wise(lucy))))&
((?[X]:(tall(X)))<=>(~patient(susan)))&
(((humble(mary)|kind(mary)))=>((~rich(paul)|strong(paul))))&
(![X]:((humble(X)<~>~kind(X))<=>(~strong(X)|creative(X))))&
(![X]:((~rich(X)&happy(X))=>~tall(X)))... | ~funny(paul) | [
"p6",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8997621142333351397872398
% SZS output start Proof for 8997621142333351397872398
7. ! [X0] : ((~old(X0) & ~humble(X0)) <=> old(X0)) [input p6]
9. ! [X0] : ((~brave(X0) & generous(X0)) <=> (funny(X0) <~> kind(X0))) [input p8]
11. ! [X0] : ((funny(X0) | ~funny(X0)) => (~humble(X0) | curious... | 0 |
If someone is not generous then someone is either wise or not tall.
Everyone who is creative or not strong is not funny or kind and vice versa.
If paul is creative or rich then lucy is either calm or not funny.
Everyone who is humble or patient is not wise or not quiet.
If someone is both wise and not humble then someo... | Mary is creative. | neutral | ((?[X]:(~generous(X)))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((creative(X)|~strong(X))<=>(~funny(X)|kind(X))))&
(((creative(paul)|rich(paul)))=>((calm(lucy)<~>~funny(lucy))))&
(![X]:((humble(X)|patient(X))=>(~wise(X)|~quiet(X))))&
((?[X]:((wise(X)&~humble(X))))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~curious(X)&... | creative(mary) | [] | null | 0 |
If paul is both patient and not calm then someone is tall or generous and vice versa. Everyone who is either wise or not funny is both not happy and funny and vice versa. If someone is both not funny and brave then someone is both not patient and happy. Everyone who is not strong is funny or tall and vice versa. If pau... | Alice is not humble. | neutral | (((patient(paul)&~calm(paul)))<=>(?[X]:((tall(X)|generous(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>(~happy(X)&funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:(~strong(X)<=>(funny(X)|tall(X))))&
(((happy(paul)|~brave(paul)))<=>(tall(lucy)))&
(![X]:((curious(X)&humble(X))<=>(curious(X)<... | ~humble(alice) | [] | null | 0 |
Everyone who is either not rich or humble is creative or wise.
Everyone who is both not calm and happy is not strong.
If lucy is not calm then someone is not calm.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old an... | Susan is not quiet. | entailment | (![X]:((~rich(X)<~>humble(X))=>(creative(X)|wise(X))))&
(![X]:((~calm(X)&happy(X))=>~strong(X)))&
((~calm(lucy))=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fre... | ~quiet(susan) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8393430341909689991888497
% SZS output start Proof for 8393430341909689991888497
9. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : quiet(X0) [input p8]
10. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p9]
25. quiet(susan) [input hypothesis]
26. ? [X0] : (tall(X0) & ~quiet... | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Fred is not quiet. | entailment | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | ~quiet(fred) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2111931039520306260425192
% SZS output start Proof for 2111931039520306260425192
1. ? [X0] : (~generous(X0) <~> kind(X0)) => ? [X0] : ~happy(X0) [input p0]
4. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [in... | 0 |
If someone is not curious or calm then someone is not humble.
Everyone who is either not curious or generous is not happy and vice versa.
Everyone who is either not funny or not humble is either not kind or kind and vice versa.
Everyone who is not funny is either not humble or not creative and vice versa.
If someone is... | Alice is humble. | contradiction | ((?[X]:((~curious(X)|calm(X))))=>(?[X]:(~humble(X))))&
(![X]:((~curious(X)<~>generous(X))<=>~happy(X)))&
(![X]:((~funny(X)<~>~humble(X))<=>(~kind(X)<~>kind(X))))&
(![X]:(~funny(X)<=>(~humble(X)<~>~creative(X))))&
((?[X]:((~happy(X)&strong(X))))=>((generous(alice)&~strong(alice))))&
(![X]:((curious(X)|~generous(X))=>(~c... | humble(alice) | [
"p2",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4980327873632614513976605
% SZS output start Proof for 4980327873632614513976605
3. ! [X0] : ((~funny(X0) <~> ~humble(X0)) <=> (~kind(X0) <~> kind(X0))) [input p2]
4. ! [X0] : (~funny(X0) <=> (~humble(X0) <~> ~creative(X0))) [input p3]
7. ! [X0] : ((strong(X0) | wise(X0)) <=> creative(X0)... | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Susan is kind. | contradiction | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | kind(susan) | [
"p1",
"p5",
"p6",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5168219749947477525725888
% SZS output start Proof for 5168219749947477525725888
2. ? [X0] : (kind(X0) | ~rich(X0)) <=> (funny(susan) <~> brave(susan)) [input p1]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (curious(X0) | ~patient(X0))) [input p5]
7. ! [X0] : ((~old(X0) & creative(X0))... | 0 |
If alice is both generous and funny then someone is both not patient and curious and vice versa.
Everyone who is funny is either old or strong.
Everyone who is not tall is not happy or not tall.
If someone is both generous and brave then lucy is both not kind and funny and vice versa.
Everyone who is not wise or humble... | Susan is old. | contradiction | (((generous(alice)&funny(alice)))<=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:(funny(X)=>(old(X)<~>strong(X))))&
(![X]:(~tall(X)=>(~happy(X)|~tall(X))))&
((?[X]:((generous(X)&brave(X))))<=>((~kind(lucy)&funny(lucy))))&
(![X]:((~wise(X)|humble(X))=>(patient(X)&~tall(X))))&
(![X]:((wise(X)&funny(X))<=>(humble(X)<~>~happy... | old(susan) | [
"p1",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 802272246876435394758067
% SZS output start Proof for 802272246876435394758067
2. ! [X0] : (funny(X0) => (old(X0) <~> strong(X0))) [input p1]
14. ! [X0] : ((strong(X0) & rich(X0)) <=> (kind(X0) | ~kind(X0))) [input p13]
21. funny(susan) [input p20]
23. old(susan) [input hypothesis]
27. ! ... | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa.
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy... | Susan is curious. | neutral | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(... | curious(susan) | [] | null | 0 |
Everyone who is both tall and not strong is both calm and not rich and vice versa.
Everyone who is tall is both quiet and kind and vice versa.
If lucy is either quiet or rich then someone is either not creative or humble and vice versa.
If someone is either kind or not generous then lucy is humble.
If someone is not cr... | Fred is creative. | neutral | (![X]:((tall(X)&~strong(X))<=>(calm(X)&~rich(X))))&
(![X]:(tall(X)<=>(quiet(X)&kind(X))))&
(((quiet(lucy)<~>rich(lucy)))<=>(?[X]:((~creative(X)<~>humble(X)))))&
((?[X]:((kind(X)<~>~generous(X))))=>(humble(lucy)))&
((?[X]:(~creative(X)))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~happy(X)|~quiet(X))=>(generous(X)|~calm... | creative(fred) | [] | null | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either curious or not brave is strong and vice versa.
Everyone who is either not wis... | Susan is not tall. | neutral | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred... | ~tall(susan) | [] | null | 0 |
Everyone who is not old is both not funny and funny and vice versa.
If susan is not quiet then lucy is not brave and vice versa.
If someone is either wise or curious then alice is either not wise or kind and vice versa.
If lucy is wise then someone is both not happy and not tall.
Everyone who is happy is patient.
Every... | Alice is not patient. | neutral | (![X]:(~old(X)<=>(~funny(X)&funny(X))))&
((~quiet(susan))<=>(~brave(lucy)))&
((?[X]:((wise(X)<~>curious(X))))<=>((~wise(alice)<~>kind(alice))))&
((wise(lucy))=>(?[X]:((~happy(X)&~tall(X)))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:(curious(X)<=>(~patient(X)&patient(X))))&
(![X]:((~old(X)&old(X))=>(~tall(X)|~calm(X))))&
(... | ~patient(alice) | [] | null | 0 |
If someone is quiet or creative then mary is not creative or not generous and vice versa.
Everyone who is either not strong or creative is wise.
Everyone who is not calm is both not funny and calm and vice versa.
If alice is wise or patient then someone is wise or not quiet.
If someone is not quiet then mary is both no... | Susan is not humble. | neutral | ((?[X]:((quiet(X)|creative(X))))<=>((~creative(mary)|~generous(mary))))&
(![X]:((~strong(X)<~>creative(X))=>wise(X)))&
(![X]:(~calm(X)<=>(~funny(X)&calm(X))))&
(((wise(alice)|patient(alice)))=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(~quiet(X)))=>((~wise(mary)&kind(mary))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((old(... | ~humble(susan) | [] | null | 0 |
If someone is both not creative and not curious then alice is quiet or not creative.
If someone is either not quiet or calm then someone is either rich or not calm.
If john is not happy then fred is patient or wise.
If susan is rich or strong then lucy is either not quiet or calm and vice versa.
If fred is either not c... | Mary is funny. | entailment | ((?[X]:((~creative(X)&~curious(X))))=>((quiet(alice)|~creative(alice))))&
((?[X]:((~quiet(X)<~>calm(X))))=>(?[X]:((rich(X)<~>~calm(X)))))&
((~happy(john))=>((patient(fred)|wise(fred))))&
(((rich(susan)|strong(susan)))<=>((~quiet(lucy)<~>calm(lucy))))&
(((~creative(fred)<~>happy(fred)))<=>((curious(alice)&~calm(alice)))... | funny(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7031000698201036579821496
% SZS output start Proof for 7031000698201036579821496
19. quiet(mary) & funny(mary) [input p18]
24. ~funny(mary) [input hypothesis]
144. funny(mary) [cnf transformation 19]
152. ~funny(mary) [cnf transformation 24]
387. $false [subsumption resolution 152,144]
% ... | 0 |
Everyone who is either not tall or wise is both calm and not funny.
Everyone who is either not tall or not wise is either not curious or humble.
Everyone who is both quiet and old is either patient or creative.
If alice is not humble or not quiet then someone is creative or brave.
If someone is both brave and patient t... | Fred is calm. | contradiction | (![X]:((~tall(X)<~>wise(X))=>(calm(X)&~funny(X))))&
(![X]:((~tall(X)<~>~wise(X))=>(~curious(X)<~>humble(X))))&
(![X]:((quiet(X)&old(X))=>(patient(X)<~>creative(X))))&
(((~humble(alice)|~quiet(alice)))=>(?[X]:((creative(X)|brave(X)))))&
((?[X]:((brave(X)&patient(X))))<=>((creative(fred)&tall(fred))))&
(![X]:(happy(X)=>(... | calm(fred) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8273665733858981414891828
% SZS output start Proof for 8273665733858981414891828
5. ? [X0] : (patient(X0) & brave(X0)) <=> (tall(fred) & creative(fred)) [input p4]
7. ! [X0] : ((~creative(X0) & ~brave(X0)) => (~quiet(X0) & funny(X0))) [input p6]
8. ! [X0] : ((funny(X0) <~> humble(X0)) <=>... | 0 |
If someone is either creative or not tall then fred is not humble or not generous and vice versa. If someone is old then paul is rich and vice versa. Everyone who is either not wise or not patient is both humble and not rich and vice versa. Everyone who is either not rich or not patient is not calm and vice versa. Ever... | Paul is not patient. | contradiction | ((?[X]:((creative(X)<~>~tall(X))))<=>((~humble(fred)|~generous(fred))))&
((?[X]:(old(X)))<=>(rich(paul)))&
(![X]:((~wise(X)<~>~patient(X))<=>(humble(X)&~rich(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>~calm(X)))&
(![X]:(~quiet(X)=>(~quiet(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))<=>(rich(X)<~>funny(X))))&
(![X]:((ta... | ~patient(paul) | [
"p1",
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3617232603491319048879443
% SZS output start Proof for 3617232603491319048879443
2. ? [X0] : old(X0) <=> rich(paul) [input p1]
5. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : ((quiet(X0) | tall(X0)) <=> ~rich(X0)) [input p6]
12. old(fred) <=> ? [X0] : (hap... | 0 |
Everyone who is either not happy or funny is either calm or brave.
If someone is either not rich or curious then someone is both humble and happy and vice versa.
If lucy is both kind and brave then someone is both not old and kind.
Everyone who is not generous or not wise is either funny or not humble.
Everyone who is ... | Lucy is kind. | neutral | (![X]:((~happy(X)<~>funny(X))=>(calm(X)<~>brave(X))))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((humble(X)&happy(X)))))&
(((kind(lucy)&brave(lucy)))=>(?[X]:((~old(X)&kind(X)))))&
(![X]:((~generous(X)|~wise(X))=>(funny(X)<~>~humble(X))))&
(![X]:(happy(X)=>curious(X)))&
(![X]:((~rich(X)<~>~tall(X))<=>(happy(X)|~creativ... | kind(lucy) | [] | null | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | Lucy is patient. | contradiction | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | patient(lucy) | [
"p8",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3877911741709214655289919
% SZS output start Proof for 3877911741709214655289919
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : (old(X0) | ~brave(X0)) [input p9]
13. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ha... | 0 |
Everyone who is not humble is brave. If someone is both humble and brave then fred is both not kind and wise and vice versa. If susan is not humble or patient then someone is not generous and vice versa. Everyone who is both not funny and not happy is not creative and vice versa. If alice is both quiet and not kind the... | Alice is not wise. | contradiction | (![X]:(~humble(X)=>brave(X)))&
((?[X]:((humble(X)&brave(X))))<=>((~kind(fred)&wise(fred))))&
(((~humble(susan)|patient(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)&~happy(X))<=>~creative(X)))&
(((quiet(alice)&~kind(alice)))=>((~humble(mary)<~>calm(mary))))&
(![X]:((~rich(X)&~generous(X))<=>(brave(X)&~wise(X))))... | ~wise(alice) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6281680662521296510325512
% SZS output start Proof for 6281680662521296510325512
7. ! [X0] : ((patient(X0) | ~funny(X0)) => kind(X0)) [input p6]
14. ! [X0] : ((~generous(X0) | generous(X0)) <=> (kind(X0) <~> ~old(X0))) [input p13]
16. ! [X0] : ((~wise(X0) | generous(X0)) <=> (~old(X0) & ~... | 0 |
If susan is not wise then fred is not funny.
Everyone who is patient or not rich is both generous and not patient and vice versa.
If john is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is not brave is either not generous or generous and vice versa.
Everyone who is e... | Paul is not strong. | entailment | ((~wise(susan))=>(~funny(fred)))&
(![X]:((patient(X)|~rich(X))<=>(generous(X)&~patient(X))))&
(((~old(john)<~>curious(john)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(~brave(X)<=>(~generous(X)<~>generous(X))))&
(![X]:((old(X)<~>tall(X))=>(quiet(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(~humble(X)&brave(X))))&
(![X]:((qu... | ~strong(paul) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6029189692344817949964109
% SZS output start Proof for 6029189692344817949964109
4. ! [X0] : (~brave(X0) <=> (~generous(X0) <~> generous(X0))) [input p3]
15. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~humble(X0) | ~brave(X0))) [input p14]
22. strong(paul) [input hypothesis]
39. ! [X0] :... | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then someone is not creative or tall and vice versa.
If someone is not generous then susan is both kind and humble.
If lucy is strong or not patient then susan is not rich and vice versa.
If mary is both brave and not calm t... | Susan is not strong. | entailment | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>(?[X]:((~creative(X)|tall(X)))))&
((?[X]:(~generous(X)))=>((kind(susan)&humble(susan))))&
(((strong(lucy)|~patient(lucy)))<=>(~rich(susan)))&
(((brave(mary)&~calm(mary)))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:((~creative(X)|strong(X))=>(~g... | ~strong(susan) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p11",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4847565152061988190523713
% SZS output start Proof for 4847565152061988190523713
1. ! [X0] : ((kind(X0) | ~wise(X0)) => (wise(X0) & tall(X0))) [input p0]
3. ? [X0] : ~generous(X0) => (humble(susan) & kind(susan)) [input p2]
6. ! [X0] : ((strong(X0) | ~creative(X0)) => (rich(X0) & ~generou... | 0 |
If mary is not calm then lucy is not patient or not kind. If someone is either not old or rich then john is tall or not rich and vice versa. If alice is either not strong or happy then fred is both rich and creative and vice versa. If someone is both not quiet and not rich then john is strong or not funny and vice vers... | Fred is not patient. | contradiction | ((~calm(mary))=>((~patient(lucy)|~kind(lucy))))&
((?[X]:((~old(X)<~>rich(X))))<=>((tall(john)|~rich(john))))&
(((~strong(alice)<~>happy(alice)))<=>((rich(fred)&creative(fred))))&
((?[X]:((~quiet(X)&~rich(X))))<=>((strong(john)|~funny(john))))&
(((funny(paul)|~generous(paul)))<=>((calm(paul)|brave(paul))))&
(![X]:((calm... | ~patient(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2200212701554951274218693
% SZS output start Proof for 2200212701554951274218693
21. patient(fred) & ~curious(fred) [input p20]
25. ~patient(fred) [input hypothesis]
26. patient(fred) [pure predicate removal 21]
134. patient(fred) [cnf transformation 26]
140. ~patient(fred) [cnf transform... | 0 |
If mary is not quiet then fred is quiet. If mary is funny or not humble then susan is both not calm and generous and vice versa. Everyone who is both patient and not happy is not generous or patient. If john is either not generous or not curious then someone is either rich or brave. Everyone who is humble is rich or no... | Susan is calm. | contradiction | ((~quiet(mary))=>(quiet(fred)))&
(((funny(mary)|~humble(mary)))<=>((~calm(susan)&generous(susan))))&
(![X]:((patient(X)&~happy(X))=>(~generous(X)|patient(X))))&
(((~generous(john)<~>~curious(john)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:(humble(X)=>(rich(X)|~calm(X))))&
(![X]:((~happy(X)&creative(X))<=>(~curious(X)<~>... | calm(susan) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 615822541846378228964722
% SZS output start Proof for 615822541846378228964722
2. (~humble(mary) | funny(mary)) <=> (generous(susan) & ~calm(susan)) [input p1]
20. funny(mary) [input p19]
25. calm(susan) [input hypothesis]
41. ((~humble(mary) | funny(mary)) | (~generous(susan) | calm(susa... | 0 |
If john is both patient and generous then someone is not quiet and vice versa. Everyone who is either quiet or creative is both not tall and strong. If someone is calm then fred is calm or generous and vice versa. If someone is either not tall or patient then alice is generous or humble and vice versa. If someone is no... | John is generous. | entailment | (((patient(john)&generous(john)))<=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)<~>creative(X))=>(~tall(X)&strong(X))))&
((?[X]:(calm(X)))<=>((calm(fred)|generous(fred))))&
((?[X]:((~tall(X)<~>patient(X))))<=>((generous(alice)|humble(alice))))&
((?[X]:((~rich(X)|~strong(X))))=>((wise(fred)&~funny(fred))))&
(![X]:((strong(X)<~... | generous(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 471364456704330050017529
% SZS output start Proof for 471364456704330050017529
20. ~funny(john) & generous(john) [input p19]
25. ~generous(john) [input hypothesis]
148. generous(john) [cnf transformation 20]
156. ~generous(john) [cnf transformation 25]
165. 2 <=> generous(john) [avatar de... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice vers... | Fred is happy. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((cre... | happy(fred) | [] | null | 0 |
Everyone who is strong or kind is both not humble and not funny and vice versa.
If someone is either not humble or old then someone is both kind and not generous and vice versa.
If someone is both tall and brave then someone is generous or not wise and vice versa.
If fred is not creative or strong then alice is both ki... | Alice is not old. | contradiction | (![X]:((strong(X)|kind(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((~humble(X)<~>old(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((tall(X)&brave(X))))<=>(?[X]:((generous(X)|~wise(X)))))&
(((~creative(fred)|strong(fred)))=>((kind(alice)&~tall(alice))))&
(![X]:(~kind(X)<=>~humble(X)))&
(![X]:(humble(X)=>(strong(X)|~calm... | ~old(alice) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5308545299363722129468738
% SZS output start Proof for 5308545299363722129468738
1. ! [X0] : ((kind(X0) | strong(X0)) <=> (~funny(X0) & ~humble(X0))) [input p0]
2. ? [X0] : (~humble(X0) <~> old(X0)) <=> ? [X0] : (~generous(X0) & kind(X0)) [input p1]
5. ! [X0] : (~kind(X0) <=> ~humble(X0))... | 0 |
If john is not calm or funny then someone is either kind or not funny and vice versa.
If lucy is both humble and not rich then someone is humble or not humble and vice versa.
Everyone who is both not brave and not wise is not patient and vice versa.
If someone is both not strong and not brave then someone is quiet.
Eve... | Fred is generous. | contradiction | (((~calm(john)|funny(john)))<=>(?[X]:((kind(X)<~>~funny(X)))))&
(((humble(lucy)&~rich(lucy)))<=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((~brave(X)&~wise(X))<=>~patient(X)))&
((?[X]:((~strong(X)&~brave(X))))=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)&~patient(X))<=>(~generous(X)|~patient(X))))&
(((tall(john)<~>~wise(john)))... | generous(fred) | [
"p2",
"p4",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 610732946073701221545957
% SZS output start Proof for 610732946073701221545957
3. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> ~patient(X0)) [input p2]
5. ! [X0] : ((~patient(X0) & ~tall(X0)) <=> (~patient(X0) | ~generous(X0))) [input p4]
10. ! [X0] : ((wise(X0) | old(X0)) <=> (quiet(X0) <~> ~w... | 0 |
Everyone who is not creative is not rich and vice versa. If fred is not humble or not generous then john is humble and vice versa. Everyone who is either patient or humble is either not brave or not funny. If someone is both brave and happy then someone is either patient or not strong. If someone is both not patient an... | John is humble. | neutral | (![X]:(~creative(X)<=>~rich(X)))&
(((~humble(fred)|~generous(fred)))<=>(humble(john)))&
(![X]:((patient(X)<~>humble(X))=>(~brave(X)<~>~funny(X))))&
((?[X]:((brave(X)&happy(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
((?[X]:((~patient(X)&old(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(h... | humble(john) | [] | null | 0 |
Everyone who is both curious and not creative is not funny and vice versa.
Everyone who is not funny is not rich and vice versa.
If someone is wise or quiet then someone is either patient or not strong.
Everyone who is either tall or not strong is not creative and vice versa.
If someone is both not humble and generous ... | Fred is calm. | entailment | (![X]:((curious(X)&~creative(X))<=>~funny(X)))&
(![X]:(~funny(X)<=>~rich(X)))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((tall(X)<~>~strong(X))<=>~creative(X)))&
((?[X]:((~humble(X)&generous(X))))=>((~happy(fred)&patient(fred))))&
(((~creative(john)&wise(john)))<=>(?[X]:((~quiet(X)<~>cal... | calm(fred) | [
"p0",
"p1",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6251413497564149252860387
% SZS output start Proof for 6251413497564149252860387
1. ! [X0] : ((~creative(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
2. ! [X0] : (~funny(X0) <=> ~rich(X0)) [input p1]
21. wise(fred) & ~rich(fred) [input p20]
24. creative(fred) <~> calm(fred) [input p23]
2... | 0 |
If someone is not rich then someone is not wise or not funny and vice versa.
Everyone who is not quiet is not humble and vice versa.
If mary is both not funny and strong then someone is either calm or not strong and vice versa.
Everyone who is happy or curious is not funny or happy.
If someone is old then susan is both... | Susan is generous. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:(~quiet(X)<=>~humble(X)))&
(((~funny(mary)&strong(mary)))<=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((happy(X)|curious(X))=>(~funny(X)|happy(X))))&
((?[X]:(old(X)))=>((generous(susan)&~generous(susan))))&
(![X]:(~quiet(X)<=>(~rich(X)&humble(X))))&
((?[X]:(old(X... | generous(susan) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8855979590613082249426877
% SZS output start Proof for 8855979590613082249426877
1. ? [X0] : ~rich(X0) <=> ? [X0] : (~funny(X0) | ~wise(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> ~humble(X0)) [input p1]
3. (strong(mary) & ~funny(mary)) <=> ? [X0] : (calm(X0) <~> ~strong(X0)) [input p2]
6... | 0 |
If someone is both not calm and funny then someone is either strong or tall. If alice is not funny or not quiet then mary is either tall or strong. If someone is brave then paul is either rich or strong and vice versa. If someone is either funny or not quiet then john is either not humble or not generous. Everyone who ... | Paul is not funny. | contradiction | ((?[X]:((~calm(X)&funny(X))))=>(?[X]:((strong(X)<~>tall(X)))))&
(((~funny(alice)|~quiet(alice)))=>((tall(mary)<~>strong(mary))))&
((?[X]:(brave(X)))<=>((rich(paul)<~>strong(paul))))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~humble(john)<~>~generous(john))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)&generous(X))))&
(![X]:((~ca... | ~funny(paul) | [
"p8",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 607107280488577085674076
% SZS output start Proof for 607107280488577085674076
9. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p8]
12. ? [X0] : old(X0) <=> ? [X0] : (~tall(X0) & ~calm(X0)) [input p11]
15. ! [X0] : ((happy(X0) & ~humble(X0)) <=> (generous(X0) | ~o... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both strong and not humble then paul is both kind and not humble and vice versa.
If someone is either creative or not tall then someone is either humble or rich and vice versa.
Everyone who is both not patient and not quiet is not strong ... | John is rich. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((kind(paul)&~humble(paul))))&
((?[X]:((creative(X)<~>~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~patient(X)&~quiet(X))=>(~strong(X)|~kind(X))))&
(((wise(mary)<~>~generous(mary)))=>((quiet(mary)<~>~happy(mary))))&
(![X]:(... | rich(john) | [] | null | 0 |
Everyone who is either not wise or calm is both not brave and not funny.
Everyone who is both calm and not calm is creative or not happy.
Everyone who is old is not patient.
Everyone who is either not tall or tall is not kind.
Everyone who is not strong is generous.
If someone is either quiet or kind then someone is wi... | Fred is not kind. | entailment | (![X]:((~wise(X)<~>calm(X))=>(~brave(X)&~funny(X))))&
(![X]:((calm(X)&~calm(X))=>(creative(X)|~happy(X))))&
(![X]:(old(X)=>~patient(X)))&
(![X]:((~tall(X)<~>tall(X))=>~kind(X)))&
(![X]:(~strong(X)=>generous(X)))&
((?[X]:((quiet(X)<~>kind(X))))<=>(?[X]:(wise(X))))&
((?[X]:(rich(X)))<=>((quiet(fred)&~tall(fred))))&
(![X]... | ~kind(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5840770648657699779226222
% SZS output start Proof for 5840770648657699779226222
4. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~kind(X0)) [input p3]
24. kind(fred) [input hypothesis]
34. ! [X0] : (~kind(X0) | (~tall(X0) <=> tall(X0))) [ennf transformation 4]
43. ! [X0] : (~kind(X0) | ((~tall(X... | 0 |
Everyone who is happy is both humble and funny.
If someone is not wise then someone is either curious or not old.
Everyone who is either not wise or not rich is either strong or happy and vice versa.
If someone is both creative and not funny then paul is either wise or not quiet.
Everyone who is either not curious or n... | Fred is not kind. | entailment | (![X]:(happy(X)=>(humble(X)&funny(X))))&
((?[X]:(~wise(X)))=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((creative(X)&~funny(X))))=>((wise(paul)<~>~quiet(paul))))&
(![X]:((~curious(X)<~>~old(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>(brave(X)<~>generous(X))))&
(![X]:((... | ~kind(fred) | [
"p2",
"p6",
"p7",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5716288887780609008867280
% SZS output start Proof for 5716288887780609008867280
3. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (strong(X0) <~> happy(X0))) [input p2]
7. ! [X0] : ((~old(X0) | ~curious(X0)) <=> (wise(X0) <~> kind(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | brave(X0)) => wise(X0... | 0 |
Everyone who is both not old and rich is not old or creative.
If someone is both generous and quiet then someone is either calm or wise.
If someone is generous then alice is either generous or not calm.
If john is not funny then paul is both not old and creative.
If someone is either not funny or patient then paul is n... | Paul is creative. | entailment | (![X]:((~old(X)&rich(X))=>(~old(X)|creative(X))))&
((?[X]:((generous(X)&quiet(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
((?[X]:(generous(X)))=>((generous(alice)<~>~calm(alice))))&
((~funny(john))=>((~old(paul)&creative(paul))))&
((?[X]:((~funny(X)<~>patient(X))))=>(~funny(paul)))&
((?[X]:((creative(X)|~curious(X))))=>((~cr... | creative(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6384485380730457592694144
% SZS output start Proof for 6384485380730457592694144
22. creative(paul) [input p21]
25. ~creative(paul) [input hypothesis]
142. creative(paul) [cnf transformation 22]
146. ~creative(paul) [cnf transformation 25]
178. 8 <=> creative(paul) [avatar definition]
358... | 0 |
Everyone who is both not funny and not calm is happy and vice versa. If someone is kind then alice is not happy. Everyone who is either not strong or not patient is both funny and not strong. Everyone who is either humble or old is creative or rich and vice versa. Everyone who is happy is rich or not creative and vice ... | Paul is funny. | contradiction | (![X]:((~funny(X)&~calm(X))<=>happy(X)))&
((?[X]:(kind(X)))=>(~happy(alice)))&
(![X]:((~strong(X)<~>~patient(X))=>(funny(X)&~strong(X))))&
(![X]:((humble(X)<~>old(X))<=>(creative(X)|rich(X))))&
(![X]:(happy(X)<=>(rich(X)|~creative(X))))&
(![X]:(~old(X)=>(~strong(X)<~>rich(X))))&
(((funny(paul)|~strong(paul)))=>((happy(... | funny(paul) | [
"p1",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6194257989178742160392517
% SZS output start Proof for 6194257989178742160392517
2. ? [X0] : kind(X0) => ~happy(alice) [input p1]
7. (~strong(paul) | funny(paul)) => (patient(alice) & happy(alice)) [input p6]
11. ? [X0] : (strong(X0) | humble(X0)) => ? [X0] : (kind(X0) & funny(X0)) [input... | 0 |
If someone is either not humble or not brave then fred is brave and vice versa.
If someone is patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or... | Paul is not calm. | entailment | ((?[X]:((~humble(X)<~>~brave(X))))<=>(brave(fred)))&
((?[X]:((patient(X)|~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<... | ~calm(paul) | [
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8961433977348758982649333
% SZS output start Proof for 8961433977348758982649333
7. ! [X0] : ((~calm(X0) <~> ~curious(X0)) <=> (~strong(X0) | generous(X0))) [input p6]
10. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p9]
13. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0... | 0 |
Everyone who is generous or patient is both not calm and curious.
If someone is either not curious or strong then susan is either quiet or not curious.
Everyone who is not brave is either not funny or not patient and vice versa.
Everyone who is both not humble and not brave is not patient and vice versa.
If someone is ... | Alice is not old. | contradiction | (![X]:((generous(X)|patient(X))=>(~calm(X)&curious(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>((quiet(susan)<~>~curious(susan))))&
(![X]:(~brave(X)<=>(~funny(X)<~>~patient(X))))&
(![X]:((~humble(X)&~brave(X))<=>~patient(X)))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(brave(X)=>(~humble(X)&~curio... | ~old(alice) | [
"p3",
"p11",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 920744389410945031512452
% SZS output start Proof for 920744389410945031512452
4. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> ~patient(X0)) [input p3]
12. ! [X0] : ((~patient(X0) & ~creative(X0)) <=> (strong(X0) | ~happy(X0))) [input p11]
13. ! [X0] : ((~tall(X0) <~> rich(X0)) <=> (patient(X... | 0 |
If someone is either wise or not curious then someone is strong and vice versa.
If someone is either not old or brave then mary is either not quiet or brave.
Everyone who is not strong is either old or strong and vice versa.
Everyone who is not happy is either humble or rich and vice versa.
If lucy is not brave or rich... | John is brave. | contradiction | ((?[X]:((wise(X)<~>~curious(X))))<=>(?[X]:(strong(X))))&
((?[X]:((~old(X)<~>brave(X))))=>((~quiet(mary)<~>brave(mary))))&
(![X]:(~strong(X)<=>(old(X)<~>strong(X))))&
(![X]:(~happy(X)<=>(humble(X)<~>rich(X))))&
(((~brave(lucy)|rich(lucy)))=>((~old(alice)<~>tall(alice))))&
((?[X]:((~brave(X)&~humble(X))))<=>(~generous(al... | brave(john) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5282106904930703901369465
% SZS output start Proof for 5282106904930703901369465
8. ! [X0] : (~strong(X0) <=> ~brave(X0)) [input p7]
20. curious(john) & ~strong(john) [input p19]
25. brave(john) [input hypothesis]
53. ! [X0] : ((~strong(X0) | brave(X0)) & (~brave(X0) | strong(X0))) [nnf t... | 0 |
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