premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not old and quiet is strong.
If someone is either generous or creative then paul is not happy or not tall and vice versa.
If susan is both tall and not old then someone is both curious and not wise.
Everyone who is both not wise and humble is both not wise and funny and vice versa.
If someone is no... | Fred is not kind. | contradiction | (![X]:((~old(X)&quiet(X))=>strong(X)))&
((?[X]:((generous(X)<~>creative(X))))<=>((~happy(paul)|~tall(paul))))&
(((tall(susan)&~old(susan)))=>(?[X]:((curious(X)&~wise(X)))))&
(![X]:((~wise(X)&humble(X))<=>(~wise(X)&funny(X))))&
((?[X]:(~creative(X)))=>((patient(john)&calm(john))))&
(![X]:(~generous(X)=>(~strong(X)&rich(... | ~kind(fred) | [
"p12",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7435327233958821554374166
% SZS output start Proof for 7435327233958821554374166
13. ! [X0] : ((strong(X0) & generous(X0)) <=> (patient(X0) <~> kind(X0))) [input p12]
18. ~generous(fred) [input p17]
23. happy(fred) & patient(fred) [input p22]
25. ~kind(fred) [input hypothesis]
55. ! [X0] ... | 0 |
If someone is both funny and not funny then someone is not calm or not tall. If john is both old and creative then someone is either rich or not wise. Everyone who is wise is both not humble and humble and vice versa. Everyone who is not wise or curious is either kind or happy. Everyone who is both kind and not patient... | Fred is not patient. | neutral | ((?[X]:((funny(X)&~funny(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(((old(john)&creative(john)))=>(?[X]:((rich(X)<~>~wise(X)))))&
(![X]:(wise(X)<=>(~humble(X)&humble(X))))&
(![X]:((~wise(X)|curious(X))=>(kind(X)<~>happy(X))))&
(![X]:((kind(X)&~patient(X))=>(~humble(X)|curious(X))))&
(![X]:(~humble(X)<=>(patient(X)|rich(X))... | ~patient(fred) | [] | null | 0 |
Everyone who is both generous and patient is both curious and happy and vice versa.
Everyone who is not wise or not humble is not rich or patient.
If someone is both not curious and generous then john is calm or not strong.
If mary is not calm or not wise then someone is quiet or old and vice versa.
Everyone who is eit... | Susan is funny. | neutral | (![X]:((generous(X)&patient(X))<=>(curious(X)&happy(X))))&
(![X]:((~wise(X)|~humble(X))=>(~rich(X)|patient(X))))&
((?[X]:((~curious(X)&generous(X))))=>((calm(john)|~strong(john))))&
(((~calm(mary)|~wise(mary)))<=>(?[X]:((quiet(X)|old(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>~quiet(X)))&
(![X]:(~old(X)<=>(~quiet(X)|gene... | funny(susan) | [] | null | 0 |
Everyone who is both not tall and kind is happy and vice versa.
Everyone who is both not happy and tall is not kind and vice versa.
If mary is both not wise and not quiet then someone is rich or tall and vice versa.
If lucy is both not happy and strong then fred is wise or rich.
If someone is not funny or not humble th... | Mary is not kind. | contradiction | (![X]:((~tall(X)&kind(X))<=>happy(X)))&
(![X]:((~happy(X)&tall(X))<=>~kind(X)))&
(((~wise(mary)&~quiet(mary)))<=>(?[X]:((rich(X)|tall(X)))))&
(((~happy(lucy)&strong(lucy)))=>((wise(fred)|rich(fred))))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((~creative(X)&strong(X))<=>(~humble(X)<~>~pati... | ~kind(mary) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5282372493279979323467224
% SZS output start Proof for 5282372493279979323467224
2. ! [X0] : ((tall(X0) & ~happy(X0)) <=> ~kind(X0)) [input p1]
7. ! [X0] : ((brave(X0) | ~kind(X0)) <=> (~tall(X0) & humble(X0))) [input p6]
25. ~kind(mary) [input hypothesis]
41. ! [X0] : (((tall(X0) & ~happ... | 0 |
Everyone who is creative is both not calm and humble and vice versa.
Everyone who is kind or creative is not funny.
If susan is either old or not wise then lucy is not calm or generous.
If lucy is not strong then mary is both curious and not quiet.
Everyone who is not rich or old is creative and vice versa.
Everyone wh... | John is patient. | entailment | (![X]:(creative(X)<=>(~calm(X)&humble(X))))&
(![X]:((kind(X)|creative(X))=>~funny(X)))&
(((old(susan)<~>~wise(susan)))=>((~calm(lucy)|generous(lucy))))&
((~strong(lucy))=>((curious(mary)&~quiet(mary))))&
(![X]:((~rich(X)|old(X))<=>creative(X)))&
(![X]:((~wise(X)<~>humble(X))<=>(humble(X)<~>rich(X))))&
(((~old(lucy)<~>~... | patient(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 997382614314231371122592
% SZS output start Proof for 997382614314231371122592
8. ! [X0] : ((~patient(X0) <~> funny(X0)) <=> funny(X0)) [input p7]
23. ~patient(john) [input hypothesis]
46. ! [X0] : ((((~funny(X0) | patient(X0)) & (funny(X0) | ~patient(X0))) | ~funny(X0)) & (funny(X0) | ((... | 0 |
If lucy is strong then someone is either creative or generous. Everyone who is either calm or humble is calm and vice versa. If someone is both not wise and not strong then susan is not calm and vice versa. If someone is not humble then susan is not happy and vice versa. If paul is not funny or brave then someone is no... | Alice is patient. | neutral | ((strong(lucy))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((calm(X)<~>humble(X))<=>calm(X)))&
((?[X]:((~wise(X)&~strong(X))))<=>(~calm(susan)))&
((?[X]:(~humble(X)))<=>(~happy(susan)))&
(((~funny(paul)|brave(paul)))<=>(?[X]:(~kind(X))))&
((?[X]:((wise(X)&~happy(X))))=>((tall(fred)<~>curious(fred))))&
(![X]:((~rich(... | patient(alice) | [] | null | 0 |
If someone is either not curious or not wise then alice is not old and vice versa.
If susan is generous then someone is not tall or rich.
Everyone who is both not patient and not creative is brave and vice versa.
Everyone who is both not funny and funny is not curious or not tall and vice versa.
If someone is creative ... | Alice is rich. | entailment | ((?[X]:((~curious(X)<~>~wise(X))))<=>(~old(alice)))&
((generous(susan))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~patient(X)&~creative(X))<=>brave(X)))&
(![X]:((~funny(X)&funny(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
(((calm(lucy)&funny(lucy)))<=>((rich(ma... | rich(alice) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4743068212661093537772698
% SZS output start Proof for 4743068212661093537772698
1. ? [X0] : (~curious(X0) <~> ~wise(X0)) <=> ~old(alice) [input p0]
3. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> brave(X0)) [input p2]
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~tall(X0) | ~curious(X0))) ... | 0 |
Everyone who is not happy is quiet and vice versa. Everyone who is strong is not generous. If someone is tall or patient then someone is old or not generous and vice versa. If john is generous then someone is either not tall or kind. Everyone who is either kind or not wise is either not funny or not curious. Everyone w... | Paul is not happy. | entailment | (![X]:(~happy(X)<=>quiet(X)))&
(![X]:(strong(X)=>~generous(X)))&
((?[X]:((tall(X)|patient(X))))<=>(?[X]:((old(X)|~generous(X)))))&
((generous(john))=>(?[X]:((~tall(X)<~>kind(X)))))&
(![X]:((kind(X)<~>~wise(X))=>(~funny(X)<~>~curious(X))))&
(![X]:(old(X)<=>(generous(X)<~>~generous(X))))&
(![X]:((~kind(X)&old(X))<=>~curi... | ~happy(paul) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5260101024129243295775677
% SZS output start Proof for 5260101024129243295775677
6. ! [X0] : (old(X0) <=> (generous(X0) <~> ~generous(X0))) [input p5]
15. ! [X0] : ((calm(X0) <~> ~happy(X0)) <=> (~calm(X0) & old(X0))) [input p14]
22. happy(paul) [input hypothesis]
46. ! [X0] : ((old(X0) |... | 0 |
Everyone who is not curious is either rich or creative.
Everyone who is either funny or kind is not curious or creative.
If susan is not brave then someone is not happy or not rich.
If susan is strong or tall then paul is not strong or not tall and vice versa.
Everyone who is both not kind and not tall is not tall.
Eve... | Susan is not patient. | neutral | (![X]:(~curious(X)=>(rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>kind(X))=>(~curious(X)|creative(X))))&
((~brave(susan))=>(?[X]:((~happy(X)|~rich(X)))))&
(((strong(susan)|tall(susan)))<=>((~strong(paul)|~tall(paul))))&
(![X]:((~kind(X)&~tall(X))=>~tall(X)))&
(![X]:((generous(X)|rich(X))<=>~funny(X)))&
(![X]:((~calm(X)... | ~patient(susan) | [] | null | 0 |
Everyone who is not curious or not kind is both not funny and curious.
Everyone who is not patient is either not curious or brave.
Everyone who is both curious and not old is not humble.
Everyone who is either not creative or creative is both generous and curious and vice versa.
If someone is both generous and not funn... | Alice is not patient. | contradiction | (![X]:((~curious(X)|~kind(X))=>(~funny(X)&curious(X))))&
(![X]:(~patient(X)=>(~curious(X)<~>brave(X))))&
(![X]:((curious(X)&~old(X))=>~humble(X)))&
(![X]:((~creative(X)<~>creative(X))<=>(generous(X)&curious(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(~generous(john)))&
((?[X]:((strong(X)&~strong(X))))<=>(~wise(paul)))&... | ~patient(alice) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4827666346073421115581771
% SZS output start Proof for 4827666346073421115581771
4. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (curious(X0) & generous(X0))) [input p3]
5. ? [X0] : (~funny(X0) & generous(X0)) <=> ~generous(john) [input p4]
10. ? [X0] : ~funny(X0) <=> (~patient(alice) |... | 0 |
Everyone who is either happy or calm is curious.
If mary is calm then someone is old and vice versa.
If someone is either not tall or old then someone is not happy or not calm and vice versa.
Everyone who is not happy is both not calm and not curious.
If someone is not calm then paul is both happy and humble and vice v... | Mary is not kind. | neutral | (![X]:((happy(X)<~>calm(X))=>curious(X)))&
((calm(mary))<=>(?[X]:(old(X))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:(~happy(X)=>(~calm(X)&~curious(X))))&
((?[X]:(~calm(X)))<=>((happy(paul)&humble(paul))))&
(![X]:((~old(X)&~brave(X))=>(humble(X)|creative(X))))&
((?[X]:(~calm(X)))=>((humble... | ~kind(mary) | [] | null | 0 |
If susan is not humble or not strong then someone is both generous and not humble and vice versa.
If lucy is not tall or quiet then paul is either calm or not funny.
Everyone who is either happy or not patient is creative and vice versa.
If someone is both not kind and not tall then someone is either not humble or brav... | Mary is old. | neutral | (((~humble(susan)|~strong(susan)))<=>(?[X]:((generous(X)&~humble(X)))))&
(((~tall(lucy)|quiet(lucy)))=>((calm(paul)<~>~funny(paul))))&
(![X]:((happy(X)<~>~patient(X))<=>creative(X)))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((~humble(X)<~>brave(X)))))&
(![X]:((tall(X)&humble(X))<=>(calm(X)|~quiet(X))))&
(![X]:((~calm(X)|c... | old(mary) | [] | null | 0 |
If john is not funny or not old then someone is not curious and vice versa.
Everyone who is funny or patient is creative and vice versa.
Everyone who is both not funny and not kind is either brave or wise.
If someone is not brave then alice is not happy and vice versa.
Everyone who is not strong or not old is not creat... | Alice is strong. | contradiction | (((~funny(john)|~old(john)))<=>(?[X]:(~curious(X))))&
(![X]:((funny(X)|patient(X))<=>creative(X)))&
(![X]:((~funny(X)&~kind(X))=>(brave(X)<~>wise(X))))&
((?[X]:(~brave(X)))<=>(~happy(alice)))&
(![X]:((~strong(X)|~old(X))=>~creative(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~old(X)<~>rich(X))))&
(![X]:((~creative(X)&~t... | strong(alice) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2600765821127136864723423
% SZS output start Proof for 2600765821127136864723423
15. ! [X0] : ((~quiet(X0) | ~curious(X0)) <=> ~strong(X0)) [input p14]
18. ~quiet(alice) & wise(alice) [input p17]
23. strong(alice) [input hypothesis]
57. ! [X0] : (((~quiet(X0) | ~curious(X0)) | strong(X0))... | 0 |
Everyone who is not happy or generous is rich and vice versa.
Everyone who is brave is not patient and vice versa.
Everyone who is rich or brave is both funny and brave and vice versa.
Everyone who is both not happy and wise is tall.
If someone is both not curious and not patient then paul is not rich.
Everyone who is ... | Paul is not curious. | entailment | (![X]:((~happy(X)|generous(X))<=>rich(X)))&
(![X]:(brave(X)<=>~patient(X)))&
(![X]:((rich(X)|brave(X))<=>(funny(X)&brave(X))))&
(![X]:((~happy(X)&wise(X))=>tall(X)))&
((?[X]:((~curious(X)&~patient(X))))=>(~rich(paul)))&
(![X]:((kind(X)<~>~funny(X))=>creative(X)))&
(![X]:((happy(X)|funny(X))=>(~old(X)<~>humble(X))))&
((... | ~curious(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p9",
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 573087515325922838693363
% SZS output start Proof for 573087515325922838693363
1. ! [X0] : ((generous(X0) | ~happy(X0)) <=> rich(X0)) [input p0]
2. ! [X0] : (brave(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((brave(X0) | rich(X0)) <=> (brave(X0) & funny(X0))) [input p2]
5. ? [X0] : (~pa... | 0 |
Everyone who is either not wise or not funny is not quiet or not tall.
Everyone who is both rich and not kind is either not funny or not brave and vice versa.
If susan is brave or happy then someone is brave or tall and vice versa.
If someone is not quiet or not curious then paul is both quiet and funny.
Everyone who i... | Alice is strong. | contradiction | (![X]:((~wise(X)<~>~funny(X))=>(~quiet(X)|~tall(X))))&
(![X]:((rich(X)&~kind(X))<=>(~funny(X)<~>~brave(X))))&
(((brave(susan)|happy(susan)))<=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((~quiet(X)|~curious(X))))=>((quiet(paul)&funny(paul))))&
(![X]:(~patient(X)=>(funny(X)<~>~brave(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(... | strong(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8961325161386039167297552
% SZS output start Proof for 8961325161386039167297552
11. ! [X0] : ((~generous(X0) | strong(X0)) => (brave(X0) & ~brave(X0))) [input p10]
20. strong(alice) [input hypothesis]
27. ! [X0] : ((brave(X0) & ~brave(X0)) | (generous(X0) & ~strong(X0))) [ennf transforma... | 0 |
Everyone who is not wise is both not kind and not rich and vice versa.
Everyone who is wise or old is not old.
Everyone who is patient or rich is either rich or not strong and vice versa.
Everyone who is not generous or not curious is not funny and vice versa.
If someone is not generous or not strong then susan is both... | Lucy is not old. | entailment | (![X]:(~wise(X)<=>(~kind(X)&~rich(X))))&
(![X]:((wise(X)|old(X))=>~old(X)))&
(![X]:((patient(X)|rich(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((~generous(X)|~curious(X))<=>~funny(X)))&
((?[X]:((~generous(X)|~strong(X))))=>((~kind(susan)&rich(susan))))&
(![X]:((brave(X)|~wise(X))<=>wise(X)))&
(![X]:(~curious(X)=>(old(X)<~>... | ~old(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5644854761428353025176809
% SZS output start Proof for 5644854761428353025176809
2. ! [X0] : ((old(X0) | wise(X0)) => ~old(X0)) [input p1]
23. old(lucy) [input hypothesis]
27. ! [X0] : (~old(X0) | (~old(X0) & ~wise(X0))) [ennf transformation 2]
74. ~old(X0) | ~old(X0) [cnf transformation ... | 0 |
Everyone who is not funny is either wise or kind.
Everyone who is both rich and happy is not brave or not kind and vice versa.
If someone is either not curious or not happy then lucy is not funny.
Everyone who is not generous is kind.
Everyone who is either not strong or rich is both not quiet and not funny.
If alice i... | Fred is curious. | entailment | (![X]:(~funny(X)=>(wise(X)<~>kind(X))))&
(![X]:((rich(X)&happy(X))<=>(~brave(X)|~kind(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(~funny(lucy)))&
(![X]:(~generous(X)=>kind(X)))&
(![X]:((~strong(X)<~>rich(X))=>(~quiet(X)&~funny(X))))&
(((~patient(alice)&~strong(alice)))=>((tall(john)|funny(john))))&
(![X]:((generous(X)... | curious(fred) | [
"p0",
"p1",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1267516887796155912437656
% SZS output start Proof for 1267516887796155912437656
1. ! [X0] : (~funny(X0) => (wise(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((happy(X0) & rich(X0)) <=> (~kind(X0) | ~brave(X0))) [input p1]
7. ! [X0] : ((funny(X0) | generous(X0)) <=> (strong(X0) <~> ~wise(X0... | 0 |
Everyone who is not calm or tall is not creative and vice versa.
If someone is either not funny or not happy then alice is either not happy or kind.
Everyone who is calm is wise.
If paul is either generous or not calm then someone is kind or generous and vice versa.
If alice is not calm or calm then someone is not calm... | Lucy is brave. | neutral | (![X]:((~calm(X)|tall(X))<=>~creative(X)))&
((?[X]:((~funny(X)<~>~happy(X))))=>((~happy(alice)<~>kind(alice))))&
(![X]:(calm(X)=>wise(X)))&
(((generous(paul)<~>~calm(paul)))<=>(?[X]:((kind(X)|generous(X)))))&
(((~calm(alice)|calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&happy(X))=>(wise(X)&~happy(X))))&
(![X]:... | brave(lucy) | [] | null | 0 |
Everyone who is either creative or not kind is either kind or not tall. If susan is both funny and rich then someone is both not funny and brave. Everyone who is not creative or not calm is both not patient and creative. Everyone who is both creative and not curious is patient or humble. Everyone who is both not funny ... | John is not generous. | neutral | (![X]:((creative(X)<~>~kind(X))=>(kind(X)<~>~tall(X))))&
(((funny(susan)&rich(susan)))=>(?[X]:((~funny(X)&brave(X)))))&
(![X]:((~creative(X)|~calm(X))=>(~patient(X)&creative(X))))&
(![X]:((creative(X)&~curious(X))=>(patient(X)|humble(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)<~>~kind(X))))&
(![X]:(quiet(X)=>(~curiou... | ~generous(john) | [] | null | 0 |
If john is either not kind or not rich then susan is strong and vice versa. Everyone who is either not brave or not curious is both quiet and generous. Everyone who is generous or happy is either not funny or strong and vice versa. If susan is both funny and not curious then fred is either not quiet or not patient and ... | Mary is wise. | contradiction | (((~kind(john)<~>~rich(john)))<=>(strong(susan)))&
(![X]:((~brave(X)<~>~curious(X))=>(quiet(X)&generous(X))))&
(![X]:((generous(X)|happy(X))<=>(~funny(X)<~>strong(X))))&
(((funny(susan)&~curious(susan)))<=>((~quiet(fred)<~>~patient(fred))))&
(![X]:((~brave(X)&~humble(X))=>(~creative(X)|humble(X))))&
((?[X]:((~patient(X... | wise(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3772815036943135491882459
% SZS output start Proof for 3772815036943135491882459
11. ! [X0] : (calm(X0) <=> (~calm(X0) <~> ~wise(X0))) [input p10]
24. wise(mary) [input hypothesis]
55. ! [X0] : ((calm(X0) | ((~calm(X0) | wise(X0)) & (~wise(X0) | calm(X0)))) & (((wise(X0) | calm(X0)) & (~w... | 0 |
Everyone who is both wise and not kind is either not humble or creative and vice versa. Everyone who is both not kind and humble is either not rich or not quiet and vice versa. Everyone who is not tall is not wise and vice versa. If someone is both brave and not brave then lucy is both not quiet and strong and vice ver... | Fred is quiet. | entailment | (![X]:((wise(X)&~kind(X))<=>(~humble(X)<~>creative(X))))&
(![X]:((~kind(X)&humble(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:(~tall(X)<=>~wise(X)))&
((?[X]:((brave(X)&~brave(X))))<=>((~quiet(lucy)&strong(lucy))))&
((curious(lucy))<=>(?[X]:(happy(X))))&
(![X]:((rich(X)<~>~happy(X))=>(brave(X)<~>~funny(X))))&
(![X]:(happy(X)<... | quiet(fred) | [
"p2",
"p8",
"p9",
"p11",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8055030787804935503109194
% SZS output start Proof for 8055030787804935503109194
3. ! [X0] : (~tall(X0) <=> ~wise(X0)) [input p2]
9. ! [X0] : ((~quiet(X0) | humble(X0)) => ~wise(X0)) [input p8]
10. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (old(X0) & rich(X0))) [input p9]
12. ! [X0] : ((tall... | 0 |
If someone is not kind then someone is both rich and not happy. If someone is both generous and curious then someone is rich and vice versa. Everyone who is not kind or not wise is not old or not patient. Everyone who is both kind and humble is generous or happy and vice versa. Everyone who is both rich and funny is no... | Alice is not tall. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~happy(X)))))&
((?[X]:((generous(X)&curious(X))))<=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~wise(X))=>(~old(X)|~patient(X))))&
(![X]:((kind(X)&humble(X))<=>(generous(X)|happy(X))))&
(![X]:((rich(X)&funny(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(curious(X)&~brave(X))))... | ~tall(alice) | [
"p4",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2844051144803325072899247
% SZS output start Proof for 2844051144803325072899247
5. ! [X0] : ((funny(X0) & rich(X0)) <=> (wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((wise(X0) <~> ~curious(X0)) => (~brave(X0) & curious(X0))) [input p5]
7. ! [X0] : ((funny(X0) & tall(X0)) => (~wise(X0) &... | 0 |
Everyone who is humble is both curious and creative. If alice is either not strong or not curious then someone is funny or not old and vice versa. If paul is both funny and not quiet then someone is either not happy or not funny and vice versa. If john is rich or kind then alice is both happy and not old. If someone is... | Susan is not strong. | neutral | (![X]:(humble(X)=>(curious(X)&creative(X))))&
(((~strong(alice)<~>~curious(alice)))<=>(?[X]:((funny(X)|~old(X)))))&
(((funny(paul)&~quiet(paul)))<=>(?[X]:((~happy(X)<~>~funny(X)))))&
(((rich(john)|kind(john)))=>((happy(alice)&~old(alice))))&
((?[X]:((~funny(X)|~strong(X))))<=>((~kind(mary)|kind(mary))))&
(((~humble(joh... | ~strong(susan) | [] | null | 0 |
If someone is calm or old then someone is both wise and not calm.
Everyone who is generous or not tall is either not calm or not humble and vice versa.
Everyone who is either not rich or creative is both brave and creative.
If alice is both not humble and curious then someone is both old and strong and vice versa.
If s... | Alice is not creative. | contradiction | ((?[X]:((calm(X)|old(X))))=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:((calm(X)|wise(X)))))&
(![X]:((~strong... | ~creative(alice) | [
"p1",
"p4",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3609404376768553748509804
% SZS output start Proof for 3609404376768553748509804
2. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p1]
5. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p4]
6. ! [X0] : ((happy(X0) & ~strong(X0)) =>... | 0 |
Everyone who is not brave or humble is brave.
Everyone who is old is either patient or strong.
If alice is both not curious and curious then john is generous or rich.
If someone is either funny or not patient then paul is curious and vice versa.
If paul is not creative or curious then someone is not rich or kind.
If fr... | Mary is not brave. | contradiction | (![X]:((~brave(X)|humble(X))=>brave(X)))&
(![X]:(old(X)=>(patient(X)<~>strong(X))))&
(((~curious(alice)&curious(alice)))=>((generous(john)|rich(john))))&
((?[X]:((funny(X)<~>~patient(X))))<=>(curious(paul)))&
(((~creative(paul)|curious(paul)))=>(?[X]:((~rich(X)|kind(X)))))&
(((~brave(fred)|~wise(fred)))=>(?[X]:(~curiou... | ~brave(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7834076326458468412212457
% SZS output start Proof for 7834076326458468412212457
1. ! [X0] : ((humble(X0) | ~brave(X0)) => brave(X0)) [input p0]
24. ~brave(mary) [input hypothesis]
30. ! [X0] : (~brave(X0) => brave(X0)) [pure predicate removal 1]
31. ! [X0] : (brave(X0) | brave(X0)) [ennf... | 0 |
Everyone who is either not calm or not generous is either not kind or brave. Everyone who is either happy or not rich is both not brave and not strong. Everyone who is both not rich and not quiet is curious and vice versa. Everyone who is either happy or humble is brave. If fred is both not rich and tall then someone i... | John is not happy. | entailment | (![X]:((~calm(X)<~>~generous(X))=>(~kind(X)<~>brave(X))))&
(![X]:((happy(X)<~>~rich(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
((?[X]:((~curious(X)&~strong(X))))=>(?[X]:((happy(X)|~... | ~happy(john) | [
"p2",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4896556520688579287771777
% SZS output start Proof for 4896556520688579287771777
3. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> curious(X0)) [input p2]
10. ! [X0] : (creative(X0) => (strong(X0) <~> ~happy(X0))) [input p9]
12. ! [X0] : (~creative(X0) <=> rich(X0)) [input p11]
13. ! [X0] : (~ric... | 0 |
Everyone who is not happy or rich is either tall or not funny and vice versa. Everyone who is either not happy or not strong is both patient and not patient and vice versa. Everyone who is both not brave and generous is either not humble or old. Everyone who is not strong is both happy and funny and vice versa. Everyon... | Lucy is not humble. | neutral | (![X]:((~happy(X)|rich(X))<=>(tall(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>(patient(X)&~patient(X))))&
(![X]:((~brave(X)&generous(X))=>(~humble(X)<~>old(X))))&
(![X]:(~strong(X)<=>(happy(X)&funny(X))))&
(![X]:(old(X)=>(~creative(X)|curious(X))))&
((?[X]:(kind(X)))<=>((wise(alice)|~wise(alice))))&
(((~wise(... | ~humble(lucy) | [] | null | 0 |
If mary is either not rich or not generous then someone is both not calm and happy.
If someone is not happy then someone is both not calm and rich.
Everyone who is creative or not tall is generous.
Everyone who is wise or quiet is not generous.
If someone is humble or not brave then someone is not patient.
Everyone who... | John is funny. | contradiction | (((~rich(mary)<~>~generous(mary)))=>(?[X]:((~calm(X)&happy(X)))))&
((?[X]:(~happy(X)))=>(?[X]:((~calm(X)&rich(X)))))&
(![X]:((creative(X)|~tall(X))=>generous(X)))&
(![X]:((wise(X)|quiet(X))=>~generous(X)))&
((?[X]:((humble(X)|~brave(X))))=>(?[X]:(~patient(X))))&
(![X]:((tall(X)&~generous(X))=>~happy(X)))&
(((~funny(mar... | funny(john) | [
"p2",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6393354050819562601103224
% SZS output start Proof for 6393354050819562601103224
3. ! [X0] : ((~tall(X0) | creative(X0)) => generous(X0)) [input p2]
4. ! [X0] : ((quiet(X0) | wise(X0)) => ~generous(X0)) [input p3]
12. ! [X0] : ((brave(X0) | tall(X0)) <=> ~tall(X0)) [input p11]
15. (~tall(... | 0 |
Everyone who is not curious is both strong and kind and vice versa.
If susan is not kind or not funny then lucy is not wise or creative.
If someone is strong then someone is either wise or not generous and vice versa.
Everyone who is either not humble or not strong is either not wise or not quiet.
Everyone who is eithe... | John is not rich. | neutral | (![X]:(~curious(X)<=>(strong(X)&kind(X))))&
(((~kind(susan)|~funny(susan)))=>((~wise(lucy)|creative(lucy))))&
((?[X]:(strong(X)))<=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~humble(X)<~>~strong(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((strong(X)<~>wise(X))=>~wise(X)))&
(![X]:((~kind(X)|~curious(X))=>(~patient(X)&~old(X... | ~rich(john) | [] | null | 0 |
If someone is either not rich or not strong then someone is generous or not funny and vice versa.
Everyone who is either brave or quiet is both not funny and not quiet.
Everyone who is not creative or not kind is either not creative or not brave and vice versa.
Everyone who is either not calm or not quiet is not wise o... | John is not wise. | neutral | ((?[X]:((~rich(X)<~>~strong(X))))<=>(?[X]:((generous(X)|~funny(X)))))&
(![X]:((brave(X)<~>quiet(X))=>(~funny(X)&~quiet(X))))&
(![X]:((~creative(X)|~kind(X))<=>(~creative(X)<~>~brave(X))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~wise(X)|rich(X))))&
(![X]:((~generous(X)|~wise(X))=>happy(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>(... | ~wise(john) | [] | null | 0 |
Everyone who is not funny is patient or wise and vice versa. Everyone who is old is rich and vice versa. Everyone who is creative is either funny or not funny. If someone is both strong and not old then someone is kind or not funny. Everyone who is brave or not wise is either creative or quiet and vice versa. Everyone ... | Susan is not generous. | contradiction | (![X]:(~funny(X)<=>(patient(X)|wise(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:(creative(X)=>(funny(X)<~>~funny(X))))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((brave(X)|~wise(X))<=>(creative(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>curious(X))=>(~brave(X)|~generous(X))))&
(![X]:((~humble(X)&~stro... | ~generous(susan) | [
"p1",
"p7",
"p8",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8528094176531103097346324
% SZS output start Proof for 8528094176531103097346324
2. ! [X0] : (old(X0) <=> rich(X0)) [input p1]
8. ! [X0] : (~patient(X0) <=> (tall(X0) | ~creative(X0))) [input p7]
9. ! [X0] : ((~humble(X0) & ~generous(X0)) => (~strong(X0) & kind(X0))) [input p8]
14. ! [X0]... | 0 |
If susan is generous or not wise then someone is not wise and vice versa.
Everyone who is either not rich or calm is both not generous and humble and vice versa.
Everyone who is not creative is either not curious or kind.
Everyone who is humble or not patient is not patient or not funny.
If someone is humble or funny t... | Lucy is not funny. | neutral | (((generous(susan)|~wise(susan)))<=>(?[X]:(~wise(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~generous(X)&humble(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>kind(X))))&
(![X]:((humble(X)|~patient(X))=>(~patient(X)|~funny(X))))&
((?[X]:((humble(X)|funny(X))))<=>(~generous(paul)))&
(![X]:((patient(X)|generous(X))<=>(~strong(X)<... | ~funny(lucy) | [] | null | 0 |
If someone is calm then alice is not wise and vice versa.
Everyone who is either not happy or strong is both not rich and not humble.
If someone is not rich then fred is quiet and vice versa.
Everyone who is both not creative and not strong is curious and vice versa.
Everyone who is not happy or not quiet is both not q... | Lucy is funny. | neutral | ((?[X]:(calm(X)))<=>(~wise(alice)))&
(![X]:((~happy(X)<~>strong(X))=>(~rich(X)&~humble(X))))&
((?[X]:(~rich(X)))<=>(quiet(fred)))&
(![X]:((~creative(X)&~strong(X))<=>curious(X)))&
(![X]:((~happy(X)|~quiet(X))=>(~quiet(X)&funny(X))))&
(![X]:(~curious(X)=>(creative(X)<~>tall(X))))&
(![X]:((generous(X)|brave(X))<=>(old(X)... | funny(lucy) | [] | null | 0 |
Everyone who is creative is either patient or tall and vice versa.
Everyone who is either not wise or not calm is wise.
If someone is both not tall and not funny then someone is not rich and vice versa.
If someone is either not curious or not generous then someone is happy or brave and vice versa.
Everyone who is eithe... | Alice is not rich. | entailment | (![X]:(creative(X)<=>(patient(X)<~>tall(X))))&
(![X]:((~wise(X)<~>~calm(X))=>wise(X)))&
((?[X]:((~tall(X)&~funny(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~curious(X)<~>~generous(X))))<=>(?[X]:((happy(X)|brave(X)))))&
(![X]:((kind(X)<~>~rich(X))<=>(~rich(X)|~kind(X))))&
(((~happy(john)|kind(john)))<=>((~humble(paul)|~funny(... | ~rich(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 736203983110194602592929
% SZS output start Proof for 736203983110194602592929
15. ! [X0] : ((rich(X0) & quiet(X0)) <=> ~quiet(X0)) [input p14]
24. rich(alice) [input hypothesis]
70. ! [X0] : (((rich(X0) & quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~rich(X0) | ~quiet(X0)))) [nnf transformat... | 0 |
If someone is happy then someone is strong.
Everyone who is not humble is either wise or brave and vice versa.
Everyone who is either happy or creative is both kind and strong.
Everyone who is creative or rich is not brave.
Everyone who is both not curious and old is both not wise and not quiet and vice versa.
Everyone... | Alice is not calm. | neutral | ((?[X]:(happy(X)))=>(?[X]:(strong(X))))&
(![X]:(~humble(X)<=>(wise(X)<~>brave(X))))&
(![X]:((happy(X)<~>creative(X))=>(kind(X)&strong(X))))&
(![X]:((creative(X)|rich(X))=>~brave(X)))&
(![X]:((~curious(X)&old(X))<=>(~wise(X)&~quiet(X))))&
(![X]:((old(X)|brave(X))<=>(~kind(X)&patient(X))))&
((rich(alice))=>(calm(lucy)))&... | ~calm(alice) | [] | null | 0 |
If lucy is not tall or wise then someone is generous or not wise and vice versa.
Everyone who is funny or not happy is strong and vice versa.
Everyone who is generous is tall and vice versa.
If someone is not curious or not generous then susan is either wise or creative and vice versa.
Everyone who is kind is both not ... | Lucy is not tall. | neutral | (((~tall(lucy)|wise(lucy)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((funny(X)|~happy(X))<=>strong(X)))&
(![X]:(generous(X)<=>tall(X)))&
((?[X]:((~curious(X)|~generous(X))))<=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(... | ~tall(lucy) | [] | null | 0 |
Everyone who is either creative or rich is not funny. Everyone who is both quiet and not kind is not old or not generous and vice versa. Everyone who is either not wise or not old is not wise and vice versa. Everyone who is not generous or not old is not happy and vice versa. Everyone who is both happy and tall is happ... | Fred is wise. | entailment | (![X]:((creative(X)<~>rich(X))=>~funny(X)))&
(![X]:((quiet(X)&~kind(X))<=>(~old(X)|~generous(X))))&
(![X]:((~wise(X)<~>~old(X))<=>~wise(X)))&
(![X]:((~generous(X)|~old(X))<=>~happy(X)))&
(![X]:((happy(X)&tall(X))<=>happy(X)))&
(![X]:(patient(X)<=>(calm(X)|tall(X))))&
((?[X]:((calm(X)|~curious(X))))<=>((funny(alice)|~br... | wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8898460698886584032975690
% SZS output start Proof for 8898460698886584032975690
3. ! [X0] : ((~wise(X0) <~> ~old(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~old(X0) | ~generous(X0)) <=> ~happy(X0)) [input p3]
5. ! [X0] : ((tall(X0) & happy(X0)) <=> happy(X0)) [input p4]
6. ! [X0] : (pa... | 0 |
Everyone who is not kind is either brave or creative.
If john is not old then someone is either not tall or kind and vice versa.
If someone is both funny and humble then someone is brave or kind.
Everyone who is patient is wise or generous and vice versa.
Everyone who is not wise is curious and vice versa.
Everyone who... | Mary is humble. | contradiction | (![X]:(~kind(X)=>(brave(X)<~>creative(X))))&
((~old(john))<=>(?[X]:((~tall(X)<~>kind(X)))))&
((?[X]:((funny(X)&humble(X))))=>(?[X]:((brave(X)|kind(X)))))&
(![X]:(patient(X)<=>(wise(X)|generous(X))))&
(![X]:(~wise(X)<=>curious(X)))&
(![X]:((~curious(X)&~brave(X))<=>(~old(X)<~>~happy(X))))&
(((patient(john)&happy(john)))... | humble(mary) | [
"p5",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6456252934714593458286473
% SZS output start Proof for 6456252934714593458286473
6. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p5]
13. ? [X0] : (old(X0) | ~curious(X0)) <=> (~humble(mary) | happy(mary)) [input p12]
21. ? [X0] : (~happy(X0) <~> ~old(X0)) [i... | 0 |
Everyone who is either quiet or not patient is not curious or generous and vice versa.
If someone is quiet or not rich then someone is both not curious and not patient and vice versa.
Everyone who is either not patient or not old is wise or not happy and vice versa.
Everyone who is calm or quiet is both not kind and ha... | Alice is old. | neutral | (![X]:((quiet(X)<~>~patient(X))<=>(~curious(X)|generous(X))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(wise(X)|~happy(X))))&
(![X]:((calm(X)|quiet(X))=>(~kind(X)&happy(X))))&
((?[X]:((funny(X)&humble(X))))<=>(~funny(paul)))&
(![X]:((~calm(X)<~>funny(X))<=>k... | old(alice) | [] | null | 0 |
If someone is not funny then someone is creative or not kind and vice versa.
If john is not brave then lucy is either tall or not tall and vice versa.
Everyone who is either humble or not creative is either patient or not happy and vice versa.
If alice is either humble or not quiet then someone is rich and vice versa.
... | Paul is calm. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((creative(X)|~kind(X)))))&
((~brave(john))<=>((tall(lucy)<~>~tall(lucy))))&
(![X]:((humble(X)<~>~creative(X))<=>(patient(X)<~>~happy(X))))&
(((humble(alice)<~>~quiet(alice)))<=>(?[X]:(rich(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:(~kind(X))))&
(![X]:(~old(X)<=>(humble(X)|~wise(X))))&
... | calm(paul) | [] | null | 0 |
Everyone who is either creative or not wise is creative.
Everyone who is not kind or patient is not quiet or brave.
Everyone who is either not patient or not wise is both brave and quiet.
Everyone who is not quiet is old.
If lucy is either not wise or quiet then alice is rich and vice versa.
If john is either not tall ... | Fred is not wise. | entailment | (![X]:((creative(X)<~>~wise(X))=>creative(X)))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)|brave(X))))&
(![X]:((~patient(X)<~>~wise(X))=>(brave(X)&quiet(X))))&
(![X]:(~quiet(X)=>old(X)))&
(((~wise(lucy)<~>quiet(lucy)))<=>(rich(alice)))&
(((~tall(john)<~>funny(john)))=>(?[X]:((~strong(X)|strong(X)))))&
((?[X]:((brave(X)&h... | ~wise(fred) | [
"p1",
"p2",
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539279311827663294140884
% SZS output start Proof for 5539279311827663294140884
2. ! [X0] : ((patient(X0) | ~kind(X0)) => (brave(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((~patient(X0) <~> ~wise(X0)) => (quiet(X0) & brave(X0))) [input p2]
4. ! [X0] : (~quiet(X0) => old(X0)) [input p3]
1... | 0 |
Everyone who is either humble or kind is both not rich and not kind and vice versa.
Everyone who is both not wise and generous is not creative or strong.
If john is either not funny or funny then fred is not old or not curious.
Everyone who is not humble or not rich is tall or not patient and vice versa.
Everyone who i... | Fred is wise. | neutral | (![X]:((humble(X)<~>kind(X))<=>(~rich(X)&~kind(X))))&
(![X]:((~wise(X)&generous(X))=>(~creative(X)|strong(X))))&
(((~funny(john)<~>funny(john)))=>((~old(fred)|~curious(fred))))&
(![X]:((~humble(X)|~rich(X))<=>(tall(X)|~patient(X))))&
(![X]:((curious(X)&~tall(X))=>humble(X)))&
(![X]:((creative(X)|generous(X))<=>~strong(... | wise(fred) | [] | null | 0 |
If someone is not patient then someone is both humble and generous and vice versa.
If fred is not kind or curious then someone is happy or not calm.
Everyone who is curious or happy is not humble.
If john is kind or not humble then paul is either funny or not rich and vice versa.
Everyone who is either wise or not calm... | Paul is quiet. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:((humble(X)&generous(X)))))&
(((~kind(fred)|curious(fred)))=>(?[X]:((happy(X)|~calm(X)))))&
(![X]:((curious(X)|happy(X))=>~humble(X)))&
(((kind(john)|~humble(john)))<=>((funny(paul)<~>~rich(paul))))&
(![X]:((wise(X)<~>~calm(X))<=>brave(X)))&
(![X]:((happy(X)|funny(X))=>(strong(X)|tall(X)))... | quiet(paul) | [
"p2",
"p3",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1690262070210581915575163
% SZS output start Proof for 1690262070210581915575163
3. ! [X0] : ((happy(X0) | curious(X0)) => ~humble(X0)) [input p2]
4. (~humble(john) | kind(john)) <=> (funny(paul) <~> ~rich(paul)) [input p3]
9. ! [X0] : ((creative(X0) | ~rich(X0)) => (~generous(X0) & ~quie... | 0 |
Everyone who is not tall or funny is both calm and wise and vice versa.
Everyone who is not patient is not strong.
If someone is not kind then someone is calm or old and vice versa.
Everyone who is not rich is generous or patient and vice versa.
Everyone who is not patient is not happy.
Everyone who is not generous is ... | Paul is generous. | neutral | (![X]:((~tall(X)|funny(X))<=>(calm(X)&wise(X))))&
(![X]:(~patient(X)=>~strong(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)|old(X)))))&
(![X]:(~rich(X)<=>(generous(X)|patient(X))))&
(![X]:(~patient(X)=>~happy(X)))&
(![X]:(~generous(X)=>(rich(X)&humble(X))))&
(![X]:((~kind(X)&old(X))<=>(rich(X)|brave(X))))&
(![X]:(~old(X)<... | generous(paul) | [] | null | 0 |
Everyone who is both not tall and creative is calm and vice versa.
If fred is both not brave and patient then someone is not tall and vice versa.
If susan is either rich or not patient then susan is either not brave or not funny.
Everyone who is either tall or not happy is either calm or not curious.
Everyone who is bo... | John is calm. | contradiction | (![X]:((~tall(X)&creative(X))<=>calm(X)))&
(((~brave(fred)&patient(fred)))<=>(?[X]:(~tall(X))))&
(((rich(susan)<~>~patient(susan)))=>((~brave(susan)<~>~funny(susan))))&
(![X]:((tall(X)<~>~happy(X))=>(calm(X)<~>~curious(X))))&
(![X]:((~patient(X)&~generous(X))<=>(creative(X)&strong(X))))&
((?[X]:((calm(X)<~>kind(X))))=>... | calm(john) | [
"p0",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6893805336911019855506708
% SZS output start Proof for 6893805336911019855506708
1. ! [X0] : ((creative(X0) & ~tall(X0)) <=> calm(X0)) [input p0]
15. ! [X0] : ((~quiet(X0) & ~creative(X0)) <=> (generous(X0) | ~creative(X0))) [input p14]
19. generous(john) & happy(john) [input p18]
25. cal... | 0 |
Everyone who is brave is both brave and not rich. Everyone who is both not tall and quiet is tall and vice versa. Everyone who is happy is not quiet and vice versa. Everyone who is not patient or happy is both not rich and creative and vice versa. If susan is not curious or not brave then john is both not brave and old... | Fred is happy. | entailment | (![X]:(brave(X)=>(brave(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))<=>tall(X)))&
(![X]:(happy(X)<=>~quiet(X)))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&creative(X))))&
(((~curious(susan)|~brave(susan)))=>((~brave(john)&old(john))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:(~old(X))))&
((?[X]:((generous(X)&~humble(... | happy(fred) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4887232350577385628488213
% SZS output start Proof for 4887232350577385628488213
2. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> tall(X0)) [input p1]
3. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p2]
22. ~happy(fred) [input hypothesis]
29. ! [X0] : (((quiet(X0) & ~tall(X0)) | ~tall(X0)) & (tall(... | 0 |
Everyone who is patient is either not strong or humble.
If someone is both brave and wise then john is both not funny and not rich.
If someone is both not patient and not rich then someone is generous or not happy.
Everyone who is both not calm and curious is either not quiet or calm.
Everyone who is both not funny and... | Susan is not tall. | entailment | (![X]:(patient(X)=>(~strong(X)<~>humble(X))))&
((?[X]:((brave(X)&wise(X))))=>((~funny(john)&~rich(john))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:((generous(X)|~happy(X)))))&
(![X]:((~calm(X)&curious(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((~funny(X)&old(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((~wise(X)|strong(X))=>(~fun... | ~tall(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5385591402818657336231955
% SZS output start Proof for 5385591402818657336231955
5. ! [X0] : ((old(X0) & ~funny(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p4]
10. ! [X0] : ((tall(X0) <~> ~old(X0)) => (funny(X0) & strong(X0))) [input p9]
25. tall(susan) [input hypothesis]
34. ! [X0] : ((f... | 0 |
If someone is not quiet then john is not humble and vice versa.
Everyone who is humble is creative or not strong.
If mary is humble or funny then someone is either not curious or not patient.
If someone is humble or tall then someone is either funny or humble.
Everyone who is both curious and not wise is happy or humbl... | Mary is patient. | contradiction | ((?[X]:(~quiet(X)))<=>(~humble(john)))&
(![X]:(humble(X)=>(creative(X)|~strong(X))))&
(((humble(mary)|funny(mary)))=>(?[X]:((~curious(X)<~>~patient(X)))))&
((?[X]:((humble(X)|tall(X))))=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:((curious(X)&~wise(X))<=>(happy(X)|humble(X))))&
((patient(mary))<=>(?[X]:((calm(X)&happy(X))... | patient(mary) | [
"p4",
"p5",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3554373104174005792318125
% SZS output start Proof for 3554373104174005792318125
5. ! [X0] : ((~wise(X0) & curious(X0)) <=> (humble(X0) | happy(X0))) [input p4]
6. patient(mary) <=> ? [X0] : (happy(X0) & calm(X0)) [input p5]
10. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> ~curious(X0)) [inp... | 0 |
Everyone who is not quiet is patient or calm and vice versa.
If fred is not tall or curious then someone is not old and vice versa.
If someone is either not creative or not wise then someone is not rich or not humble.
If someone is rich then fred is both brave and not tall and vice versa.
If someone is either kind or c... | Fred is humble. | entailment | (![X]:(~quiet(X)<=>(patient(X)|calm(X))))&
(((~tall(fred)|curious(fred)))<=>(?[X]:(~old(X))))&
((?[X]:((~creative(X)<~>~wise(X))))=>(?[X]:((~rich(X)|~humble(X)))))&
((?[X]:(rich(X)))<=>((brave(fred)&~tall(fred))))&
((?[X]:((kind(X)<~>curious(X))))<=>(?[X]:(~rich(X))))&
(![X]:((tall(X)&creative(X))<=>(rich(X)|~old(X))))... | humble(fred) | [
"p5",
"p7",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8886170787795311465920208
% SZS output start Proof for 8886170787795311465920208
6. ! [X0] : ((creative(X0) & tall(X0)) <=> (~old(X0) | rich(X0))) [input p5]
8. ! [X0] : ((~calm(X0) | old(X0)) <=> humble(X0)) [input p7]
16. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> (~humble(X0) <~> ~calm(X0)... | 0 |
Everyone who is not humble is both not tall and not creative and vice versa.
If someone is calm or not creative then mary is patient or strong.
If paul is not tall or patient then someone is either not funny or humble.
Everyone who is not wise is either not brave or not humble and vice versa.
Everyone who is humble is ... | Alice is humble. | entailment | (![X]:(~humble(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>((patient(mary)|strong(mary))))&
(((~tall(paul)|patient(paul)))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:(humble(X)=>(~creative(X)<~>~wise(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~old(X)&calm... | humble(alice) | [
"p0",
"p1",
"p5",
"p8",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 96035612592955795257733
% SZS output start Proof for 96035612592955795257733
1. ! [X0] : (~humble(X0) <=> (~creative(X0) & ~tall(X0))) [input p0]
2. ? [X0] : (~creative(X0) | calm(X0)) => (strong(mary) | patient(mary)) [input p1]
6. ! [X0] : ((~generous(X0) <~> kind(X0)) => (calm(X0) & ~o... | 0 |
Everyone who is either generous or wise is both not creative and calm. Everyone who is funny is both humble and not humble and vice versa. If john is not happy or patient then mary is not creative and vice versa. If mary is both not brave and not kind then someone is rich or not strong and vice versa. If someone is ric... | Mary is humble. | entailment | (![X]:((generous(X)<~>wise(X))=>(~creative(X)&calm(X))))&
(![X]:(funny(X)<=>(humble(X)&~humble(X))))&
(((~happy(john)|patient(john)))<=>(~creative(mary)))&
(((~brave(mary)&~kind(mary)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((rich(X)|~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((patient(X)|generous(X))=>creative(X))... | humble(mary) | [
"p1",
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8511565777502327606692141
% SZS output start Proof for 8511565777502327606692141
2. ! [X0] : (funny(X0) <=> (~humble(X0) & humble(X0))) [input p1]
4. (~kind(mary) & ~brave(mary)) <=> ? [X0] : (~strong(X0) | rich(X0)) [input p3]
5. ? [X0] : (~strong(X0) | rich(X0)) <=> ? [X0] : ~humble(X0)... | 0 |
If someone is not patient or not humble then paul is both calm and brave and vice versa.
If someone is wise or not humble then paul is either not creative or old.
Everyone who is not curious or not funny is both patient and curious and vice versa.
Everyone who is either tall or wise is both tall and not tall and vice v... | John is not kind. | entailment | ((?[X]:((~patient(X)|~humble(X))))<=>((calm(paul)&brave(paul))))&
((?[X]:((wise(X)|~humble(X))))=>((~creative(paul)<~>old(paul))))&
(![X]:((~curious(X)|~funny(X))<=>(patient(X)&curious(X))))&
(![X]:((tall(X)<~>wise(X))<=>(tall(X)&~tall(X))))&
(![X]:((~curious(X)&wise(X))<=>(~tall(X)&~patient(X))))&
((?[X]:((strong(X)<~... | ~kind(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 88561610988411229937977
% SZS output start Proof for 88561610988411229937977
18. generous(john) & ~kind(john) [input p17]
21. kind(john) [input hypothesis]
137. ~kind(john) [cnf transformation 18]
142. kind(john) [cnf transformation 21]
319. $false [subsumption resolution 142,137]
% SZS o... | 0 |
Everyone who is curious or not curious is not rich or old and vice versa.
Everyone who is brave or happy is both not quiet and not humble and vice versa.
Everyone who is not rich is either tall or rich and vice versa.
Everyone who is either humble or not rich is not old and vice versa.
Everyone who is either rich or no... | Lucy is kind. | neutral | (![X]:((curious(X)|~curious(X))<=>(~rich(X)|old(X))))&
(![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[X]:(~ri... | kind(lucy) | [] | null | 0 |
If susan is brave then someone is not brave and vice versa.
If fred is both not calm and patient then lucy is tall or not calm.
Everyone who is not brave is not funny or not brave and vice versa.
Everyone who is either not humble or not tall is both creative and not brave and vice versa.
If paul is both quiet and not c... | Paul is patient. | neutral | ((brave(susan))<=>(?[X]:(~brave(X))))&
(((~calm(fred)&patient(fred)))=>((tall(lucy)|~calm(lucy))))&
(![X]:(~brave(X)<=>(~funny(X)|~brave(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(creative(X)&~brave(X))))&
(((quiet(paul)&~calm(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)&humble(X))=>(tall(X)&~wise(X))))&
((?[X]:((~stro... | patient(paul) | [] | null | 0 |
Everyone who is either rich or kind is not creative.
Everyone who is both quiet and brave is either not curious or not humble.
Everyone who is not strong is both creative and not brave.
If john is both curious and tall then someone is not calm.
Everyone who is creative is both happy and not rich and vice versa.
If fred... | Fred is not creative. | entailment | (![X]:((rich(X)<~>kind(X))=>~creative(X)))&
(![X]:((quiet(X)&brave(X))=>(~curious(X)<~>~humble(X))))&
(![X]:(~strong(X)=>(creative(X)&~brave(X))))&
(((curious(john)&tall(john)))=>(?[X]:(~calm(X))))&
(![X]:(creative(X)<=>(happy(X)&~rich(X))))&
((quiet(fred))=>((~kind(mary)<~>~tall(mary))))&
(![X]:((~old(X)<~>generous(X)... | ~creative(fred) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 992863264360780057212757
% SZS output start Proof for 992863264360780057212757
3. ! [X0] : (~strong(X0) => (~brave(X0) & creative(X0))) [input p2]
5. ! [X0] : (creative(X0) <=> (~rich(X0) & happy(X0))) [input p4]
14. ? [X0] : (~tall(X0) | creative(X0)) <=> ? [X0] : (~strong(X0) & ~happy(X... | 0 |
Everyone who is not humble or not calm is both not wise and not brave and vice versa.
Everyone who is both quiet and not patient is either happy or not generous.
Everyone who is creative or funny is not tall.
Everyone who is not kind or calm is either not patient or not creative.
If fred is not quiet or generous then s... | John is not calm. | entailment | (![X]:((~humble(X)|~calm(X))<=>(~wise(X)&~brave(X))))&
(![X]:((quiet(X)&~patient(X))=>(happy(X)<~>~generous(X))))&
(![X]:((creative(X)|funny(X))=>~tall(X)))&
(![X]:((~kind(X)|calm(X))=>(~patient(X)<~>~creative(X))))&
(((~quiet(fred)|generous(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((strong(X)&~patient(X))))<=>(... | ~calm(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4702663397953152636842618
% SZS output start Proof for 4702663397953152636842618
12. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~calm(X0)) [input p11]
20. calm(john) [input hypothesis]
58. ! [X0] : (((~humble(X0) | humble(X0)) | calm(X0)) & (~calm(X0) | (humble(X0) & ~humble(X0)))) [nnf tra... | 0 |
If someone is not kind or kind then someone is both brave and not creative and vice versa.
Everyone who is both not old and not happy is both not humble and not tall.
If someone is not curious then someone is generous or rich and vice versa.
If someone is humble or generous then someone is either tall or funny and vice... | Alice is not strong. | neutral | ((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~old(X)&~happy(X))=>(~humble(X)&~tall(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((generous(X)|rich(X)))))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((tall(X)<~>funny(X)))))&
(![X]:((funny(X)&kind(X))<=>(tall(X)&~patient(X))))&
((?[X]:((~curious(X)|~f... | ~strong(alice) | [] | null | 0 |
If lucy is both not kind and not strong then john is generous or not calm and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy ... | Lucy is not curious. | entailment | (((~kind(lucy)&~strong(lucy)))<=>((generous(john)|~calm(john))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((curio... | ~curious(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8449751131450921170836571
% SZS output start Proof for 8449751131450921170836571
1. (~strong(lucy) & ~kind(lucy)) <=> (~calm(john) | generous(john)) [input p0]
2. ! [X0] : ((~humble(X0) <~> strong(X0)) => happy(X0)) [input p1]
7. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (curious(X0) | rich(X... | 0 |
If someone is not brave or not rich then susan is generous and vice versa. Everyone who is generous is funny. Everyone who is wise is both not kind and brave. If susan is either patient or not rich then mary is patient or not curious and vice versa. If someone is not funny or not strong then someone is both patient and... | John is not patient. | contradiction | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:(generous(X)=>funny(X)))&
(![X]:(wise(X)=>(~kind(X)&brave(X))))&
(((patient(susan)<~>~rich(susan)))<=>((patient(mary)|~curious(mary))))&
((?[X]:((~funny(X)|~strong(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((tall(X)&brave(X))=>rich(X)))&
(![X]:((quiet(X)<... | ~patient(john) | [
"p1",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7375123157991185183282899
% SZS output start Proof for 7375123157991185183282899
2. ! [X0] : (generous(X0) => funny(X0)) [input p1]
8. (~calm(paul) & kind(paul)) <=> ? [X0] : (~happy(X0) | ~patient(X0)) [input p7]
13. ! [X0] : ((curious(X0) | ~calm(X0)) => ~funny(X0)) [input p12]
21. gene... | 0 |
Everyone who is rich or patient is either curious or not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or cur... | Mary is patient. | entailment | (![X]:((rich(X)|patient(X))=>(curious(X)<~>~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(... | patient(mary) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 659899538739399586181150
% SZS output start Proof for 659899538739399586181150
4. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p3]
8. ! [X0] : (~quiet(X0) => patient(X0)) [input p7]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. ! [... | 0 |
Everyone who is either curious or not curious is not rich or not calm.
Everyone who is either not generous or tall is tall or not funny.
Everyone who is not kind is both calm and generous and vice versa.
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either ... | Paul is calm. | entailment | (![X]:((curious(X)<~>~curious(X))=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))=>(tall(X)|~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)&generous(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
... | calm(paul) | [
"p2",
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7602130292020075363375069
% SZS output start Proof for 7602130292020075363375069
3. ! [X0] : (~kind(X0) <=> (generous(X0) & calm(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kind(X0) & ~patient(X0))) [input p6]
9. ! [X0] : (~old(X0) <=> (kind(X0) <~> funny(X0))) [inpu... | 0 |
If someone is brave or strong then someone is humble and vice versa. If someone is tall then john is kind. Everyone who is not brave is either not patient or kind and vice versa. If john is tall then someone is either not funny or not generous and vice versa. Everyone who is both old and calm is both not curious and no... | John is kind. | entailment | ((?[X]:((brave(X)|strong(X))))<=>(?[X]:(humble(X))))&
((?[X]:(tall(X)))=>(kind(john)))&
(![X]:(~brave(X)<=>(~patient(X)<~>kind(X))))&
((tall(john))<=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((old(X)&calm(X))<=>(~curious(X)&~patient(X))))&
(![X]:(~generous(X)<=>(kind(X)|strong(X))))&
(![X]:(patient(X)=>(~curious(X)&... | kind(john) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1445501037709681832214509
% SZS output start Proof for 1445501037709681832214509
2. ? [X0] : tall(X0) => kind(john) [input p1]
3. ! [X0] : (~brave(X0) <=> (~patient(X0) <~> kind(X0))) [input p2]
4. tall(john) <=> ? [X0] : (~funny(X0) <~> ~generous(X0)) [input p3]
6. ! [X0] : (~generous(X0... | 0 |
If someone is not creative then someone is tall.
Everyone who is either patient or funny is either rich or not patient and vice versa.
Everyone who is quiet or humble is curious.
Everyone who is both not wise and wise is not wise or kind.
Everyone who is both not quiet and patient is brave or not tall.
Everyone who is ... | Lucy is old. | entailment | ((?[X]:(~creative(X)))=>(?[X]:(tall(X))))&
(![X]:((patient(X)<~>funny(X))<=>(rich(X)<~>~patient(X))))&
(![X]:((quiet(X)|humble(X))=>curious(X)))&
(![X]:((~wise(X)&wise(X))=>(~wise(X)|kind(X))))&
(![X]:((~quiet(X)&patient(X))=>(brave(X)|~tall(X))))&
(![X]:((humble(X)<~>old(X))<=>~patient(X)))&
(((old(paul)&patient(paul)... | old(lucy) | [
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 188923193109884057730913
% SZS output start Proof for 188923193109884057730913
9. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & old(X0))) [input p8]
20. ~humble(lucy) [input p19]
24. ~old(lucy) [input hypothesis]
41. ! [X0] : ((~tall(X0) & old(X0)) | (humble(X0) & creative(X0)))... | 0 |
Everyone who is either not wise or creative is either not patient or not humble.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either n... | Alice is wise. | contradiction | (![X]:((~wise(X)<~>creative(X))=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))... | wise(alice) | [
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6849587726040181565143383
% SZS output start Proof for 6849587726040181565143383
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
10. ! [X0] : (quiet(X0) <=> creative(X0)) [input p9]
11. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~wise(X0))) [input p10]
22. wise(alice) [... | 0 |
Everyone who is both not curious and not strong is generous or not old and vice versa. Everyone who is either not kind or not humble is not kind. If mary is both rich and funny then someone is not quiet or funny. If someone is kind then someone is both not wise and happy. If someone is either wise or happy then john is... | Lucy is not kind. | entailment | (![X]:((~curious(X)&~strong(X))<=>(generous(X)|~old(X))))&
(![X]:((~kind(X)<~>~humble(X))=>~kind(X)))&
(((rich(mary)&funny(mary)))=>(?[X]:((~quiet(X)|funny(X)))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((wise(X)<~>happy(X))))=>((quiet(john)&~humble(john))))&
(![X]:((~humble(X)&strong(X))=>~curious(X)... | ~kind(lucy) | [
"p1",
"p11",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5114730494570766126695156
% SZS output start Proof for 5114730494570766126695156
2. ! [X0] : ((~kind(X0) <~> ~humble(X0)) => ~kind(X0)) [input p1]
12. (~humble(lucy) <~> ~funny(lucy)) <=> ? [X0] : strong(X0) [input p11]
19. funny(lucy) [input p18]
22. strong(mary) & wise(mary) [input p21]... | 0 |
Everyone who is not old is either not tall or wise.
Everyone who is both not funny and quiet is either calm or kind.
Everyone who is both kind and not curious is either patient or not happy and vice versa.
If fred is not brave then someone is not rich or generous and vice versa.
If someone is not quiet or calm then som... | Fred is creative. | contradiction | (![X]:(~old(X)=>(~tall(X)<~>wise(X))))&
(![X]:((~funny(X)&quiet(X))=>(calm(X)<~>kind(X))))&
(![X]:((kind(X)&~curious(X))<=>(patient(X)<~>~happy(X))))&
((~brave(fred))<=>(?[X]:((~rich(X)|generous(X)))))&
((?[X]:((~quiet(X)|calm(X))))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:(~rich(X)=>(happy(X)|~calm(X))))&
(![X]:(rich... | creative(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4865156868634596894880381
% SZS output start Proof for 4865156868634596894880381
16. ! [X0] : ((calm(X0) & ~creative(X0)) <=> creative(X0)) [input p15]
24. creative(fred) [input hypothesis]
64. ! [X0] : (((calm(X0) & ~creative(X0)) | ~creative(X0)) & (creative(X0) | (~calm(X0) | creative(... | 0 |
If someone is either not curious or not creative then john is calm and vice versa. Everyone who is both not tall and not curious is not brave and vice versa. If susan is both calm and not calm then paul is both not creative and not brave. Everyone who is both not quiet and rich is brave or not brave and vice versa. Eve... | Paul is generous. | entailment | ((?[X]:((~curious(X)<~>~creative(X))))<=>(calm(john)))&
(![X]:((~tall(X)&~curious(X))<=>~brave(X)))&
(((calm(susan)&~calm(susan)))=>((~creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(... | generous(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7926768247740798051837079
% SZS output start Proof for 7926768247740798051837079
8. ! [X0] : ((~curious(X0) | curious(X0)) => generous(X0)) [input p7]
23. ~generous(paul) [input hypothesis]
30. ! [X0] : (generous(X0) | (curious(X0) & ~curious(X0))) [ennf transformation 8]
102. generous(X0... | 0 |
Everyone who is not strong or not generous is not kind or humble and vice versa.
If someone is both not generous and not quiet then someone is not happy or quiet and vice versa.
Everyone who is not generous is both rich and not brave.
If mary is both wise and humble then susan is not patient and vice versa.
Everyone wh... | Paul is not creative. | neutral | (![X]:((~strong(X)|~generous(X))<=>(~kind(X)|humble(X))))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(~generous(X)=>(rich(X)&~brave(X))))&
(((wise(mary)&humble(mary)))<=>(~patient(susan)))&
(![X]:((~wise(X)<~>wise(X))<=>(strong(X)&funny(X))))&
(((~creative(paul)&creative(paul)))<=>((~cu... | ~creative(paul) | [] | null | 0 |
If someone is either not happy or calm then fred is not funny.
Everyone who is not old or not patient is funny or not kind and vice versa.
Everyone who is either wise or funny is not old and vice versa.
If paul is both not old and not strong then someone is not patient or not tall and vice versa.
If john is not tall or... | Mary is wise. | entailment | ((?[X]:((~happy(X)<~>calm(X))))=>(~funny(fred)))&
(![X]:((~old(X)|~patient(X))<=>(funny(X)|~kind(X))))&
(![X]:((wise(X)<~>funny(X))<=>~old(X)))&
(((~old(paul)&~strong(paul)))<=>(?[X]:((~patient(X)|~tall(X)))))&
(((~tall(john)|~funny(john)))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(~kind(X)&~old(X))))&
(... | wise(mary) | [
"p1",
"p2",
"p5",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 341495624773937520563401
% SZS output start Proof for 341495624773937520563401
2. ! [X0] : ((~patient(X0) | ~old(X0)) <=> (~kind(X0) | funny(X0))) [input p1]
3. ! [X0] : ((wise(X0) <~> funny(X0)) <=> ~old(X0)) [input p2]
6. ! [X0] : ((~funny(X0) <~> tall(X0)) <=> (~old(X0) & ~kind(X0))) [... | 0 |
If someone is not creative then john is quiet and vice versa.
If someone is not wise or not old then susan is generous and vice versa.
If mary is rich then someone is humble and vice versa.
If someone is not calm then paul is curious.
Everyone who is wise is not old and vice versa.
If someone is brave then mary is eith... | Lucy is rich. | contradiction | ((?[X]:(~creative(X)))<=>(quiet(john)))&
((?[X]:((~wise(X)|~old(X))))<=>(generous(susan)))&
((rich(mary))<=>(?[X]:(humble(X))))&
((?[X]:(~calm(X)))=>(curious(paul)))&
(![X]:(wise(X)<=>~old(X)))&
((?[X]:(brave(X)))=>((calm(mary)<~>happy(mary))))&
(![X]:((~curious(X)&old(X))=>funny(X)))&
(((strong(mary)<~>quiet(mary)))<=... | rich(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2936522813179014197821578
% SZS output start Proof for 2936522813179014197821578
17. creative(lucy) & ~rich(lucy) [input p16]
22. rich(lucy) [input hypothesis]
105. ~rich(lucy) [cnf transformation 17]
113. rich(lucy) [cnf transformation 22]
275. 37 <=> rich(lucy) [avatar definition]
289. ... | 0 |
Everyone who is quiet or not old is both not generous and generous and vice versa.
Everyone who is not kind is both not humble and curious and vice versa.
If susan is not brave or calm then someone is not brave and vice versa.
Everyone who is funny or not creative is brave or not brave.
If someone is not funny or tall ... | Susan is not quiet. | entailment | (![X]:((quiet(X)|~old(X))<=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X... | ~quiet(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2899513585663372435474546
% SZS output start Proof for 2899513585663372435474546
1. ! [X0] : ((~old(X0) | quiet(X0)) <=> (generous(X0) & ~generous(X0))) [input p0]
24. quiet(susan) [input hypothesis]
41. ! [X0] : (((~old(X0) | quiet(X0)) | (~generous(X0) | generous(X0))) & ((generous(X0) ... | 0 |
If someone is not kind then fred is generous and vice versa. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generous then mary is either not creative or curious and vice versa. Everyone who is both calm ... | Alice is not generous. | entailment | ((?[X]:(~kind(X)))<=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&~brave(X))<=>(quiet(X)<~>~brave(X))))&
((~old(alice))=>(?[X]:((tall(X)&old(... | ~generous(alice) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 753244390305873621899242
% SZS output start Proof for 753244390305873621899242
4. ? [X0] : (generous(X0) | patient(X0)) <=> (~creative(mary) <~> curious(mary)) [input p3]
7. (~creative(paul) & funny(paul)) <=> ? [X0] : (curious(X0) | ~creative(X0)) [input p6]
12. ! [X0] : ((happy(X0) & ~f... | 0 |
If someone is both generous and not calm then lucy is not rich and vice versa.
Everyone who is not strong or happy is either calm or not strong.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either w... | Paul is happy. | contradiction | ((?[X]:((generous(X)&~calm(X))))<=>(~rich(lucy)))&
(![X]:((~strong(X)|happy(X))=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((... | happy(paul) | [
"p1",
"p2",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1019809922718074056877191
% SZS output start Proof for 1019809922718074056877191
2. ! [X0] : ((happy(X0) | ~strong(X0)) => (calm(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p2]
9. ! [X0] : ((strong(X0) <~> ~kind(X0)) => (strong(X0) ... | 0 |
If someone is both not creative and not happy then alice is either humble or not strong.
If someone is rich then susan is not creative or creative and vice versa.
Everyone who is strong or not generous is either curious or not happy and vice versa.
If someone is creative or kind then someone is not kind or kind and vic... | Alice is old. | contradiction | ((?[X]:((~creative(X)&~happy(X))))=>((humble(alice)<~>~strong(alice))))&
((?[X]:(rich(X)))<=>((~creative(susan)|creative(susan))))&
(![X]:((strong(X)|~generous(X))<=>(curious(X)<~>~happy(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~kind(X)|kind(X)))))&
((?[X]:((humble(X)&~patient(X))))<=>((funny(susan)|generous(su... | old(alice) | [
"p6",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1374499689471902772174776
% SZS output start Proof for 1374499689471902772174776
7. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (old(X0) <~> ~tall(X0))) [input p6]
12. ! [X0] : ((patient(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
13. ! [X0] : ((wise(X0) <~> ~tall(X0)) <=> (generous(X0... | 0 |
If someone is either curious or not tall then paul is both curious and not calm and vice versa.
Everyone who is both not funny and strong is both patient and not happy and vice versa.
Everyone who is both not happy and not generous is both kind and not funny.
If someone is curious or not creative then susan is both not... | Alice is not curious. | entailment | ((?[X]:((curious(X)<~>~tall(X))))<=>((curious(paul)&~calm(paul))))&
(![X]:((~funny(X)&strong(X))<=>(patient(X)&~happy(X))))&
(![X]:((~happy(X)&~generous(X))=>(kind(X)&~funny(X))))&
((?[X]:((curious(X)|~creative(X))))<=>((~patient(susan)&~kind(susan))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(curious(X)<~>patient(X))))&
(![X]... | ~curious(alice) | [
"p2",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7812729466904014085145835
% SZS output start Proof for 7812729466904014085145835
3. ! [X0] : ((~generous(X0) & ~happy(X0)) => (~funny(X0) & kind(X0))) [input p2]
10. ! [X0] : (curious(X0) <=> (~calm(X0) & ~generous(X0))) [input p9]
22. ~happy(alice) & funny(alice) [input p21]
25. curious(... | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is rich. | contradiction | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | rich(mary) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1250627886282908080889831
% SZS output start Proof for 1250627886282908080889831
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ! [X0] : (~calm(X0) => (funny(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((... | 0 |
Everyone who is not rich or not curious is either not quiet or not humble.
Everyone who is not wise or funny is both not strong and happy.
Everyone who is both quiet and not happy is either not kind or not happy and vice versa.
If someone is either not generous or not quiet then someone is not rich or not funny and vic... | Lucy is humble. | contradiction | (![X]:((~rich(X)|~curious(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((~wise(X)|funny(X))=>(~strong(X)&happy(X))))&
(![X]:((quiet(X)&~happy(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>(?[X]:((~rich(X)|~funny(X)))))&
((?[X]:(~patient(X)))<=>((~tall(mary)|~strong(mary))))&
(((rich(susan)<~>~quiet(s... | humble(lucy) | [
"p0",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2184162471375575854528753
% SZS output start Proof for 2184162471375575854528753
1. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p0]
9. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> calm(X0)) [input p8]
10. ! [X0] : ((curious(X0) | ~curious(X0)) => rich(X0)) [i... | 0 |
If someone is both not kind and not funny then alice is humble and vice versa.
If someone is either brave or strong then someone is either tall or creative and vice versa.
If someone is either not happy or not generous then someone is not patient or not happy.
If someone is both curious and not quiet then someone is no... | Lucy is not strong. | entailment | ((?[X]:((~kind(X)&~funny(X))))<=>(humble(alice)))&
((?[X]:((brave(X)<~>strong(X))))<=>(?[X]:((tall(X)<~>creative(X)))))&
((?[X]:((~happy(X)<~>~generous(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:(~wise(X))))&
(((generous(susan)&~creative(susan)))=>(~calm(alice)))&
((?[X]:((~funny(... | ~strong(lucy) | [
"p7",
"p8",
"p9",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9133840729740397426345512
% SZS output start Proof for 9133840729740397426345512
8. ! [X0] : ((strong(X0) | ~kind(X0)) => (generous(X0) & funny(X0))) [input p7]
9. ! [X0] : ((curious(X0) | ~kind(X0)) <=> (kind(X0) & ~happy(X0))) [input p8]
10. ! [X0] : (humble(X0) => (~funny(X0) <~> ~kind... | 0 |
Everyone who is either not creative or humble is not funny and vice versa.
Everyone who is not funny is strong.
If fred is either not old or strong then someone is both not calm and calm.
Everyone who is either not brave or not kind is both not old and not rich and vice versa.
Everyone who is both not quiet and not kin... | Fred is happy. | entailment | (![X]:((~creative(X)<~>humble(X))<=>~funny(X)))&
(![X]:(~funny(X)=>strong(X)))&
(((~old(fred)<~>strong(fred)))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~brave(X)<~>~kind(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>~ca... | happy(fred) | [
"p4",
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2560837339900187172783501
% SZS output start Proof for 2560837339900187172783501
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p5]
7. ? [X0] : (happy(X0) <~> ~calm(X0)) <=> ? [X0] : (tall(X0)... | 0 |
Everyone who is either patient or brave is either not brave or not quiet and vice versa. Everyone who is both not quiet and not funny is both generous and tall. If susan is either rich or quiet then someone is either generous or creative and vice versa. Everyone who is humble is quiet or not rich. If alice is kind then... | Paul is not quiet. | neutral | (![X]:((patient(X)<~>brave(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~funny(X))=>(generous(X)&tall(X))))&
(((rich(susan)<~>quiet(susan)))<=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(humble(X)=>(quiet(X)|~rich(X))))&
((kind(alice))=>(tall(alice)))&
(((~strong(paul)&~happy(paul)))<=>((patient(alice)<~>~old(a... | ~quiet(paul) | [] | null | 0 |
Everyone who is either not rich or not happy is both rich and humble.
Everyone who is strong or not kind is not curious or not tall and vice versa.
If someone is both not funny and curious then mary is curious or not curious.
If someone is quiet then someone is calm or humble.
Everyone who is either creative or generou... | Paul is not quiet. | neutral | (![X]:((~rich(X)<~>~happy(X))=>(rich(X)&humble(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((~funny(X)&curious(X))))=>((curious(mary)|~curious(mary))))&
((?[X]:(quiet(X)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((creative(X)<~>generous(X))<=>(creative(X)&~curious(X))))&
((?[X]:((humble(X)&~wise... | ~quiet(paul) | [] | null | 0 |
Everyone who is either curious or generous is both not strong and brave and vice versa.
Everyone who is generous is either not old or curious.
Everyone who is either creative or not wise is humble and vice versa.
If someone is both quiet and kind then someone is not happy or not calm.
If mary is not kind or not rich th... | Paul is wise. | neutral | (![X]:((curious(X)<~>generous(X))<=>(~strong(X)&brave(X))))&
(![X]:(generous(X)=>(~old(X)<~>curious(X))))&
(![X]:((creative(X)<~>~wise(X))<=>humble(X)))&
((?[X]:((quiet(X)&kind(X))))=>(?[X]:((~happy(X)|~calm(X)))))&
(((~kind(mary)|~rich(mary)))=>((kind(lucy)<~>~brave(lucy))))&
(![X]:((~rich(X)&old(X))<=>strong(X)))&
((... | wise(paul) | [] | null | 0 |
If lucy is quiet then someone is both quiet and tall and vice versa.
If someone is both not patient and brave then someone is not creative or not funny and vice versa.
Everyone who is either brave or happy is kind.
If paul is both not strong and curious then someone is curious or calm and vice versa.
If someone is happ... | Susan is not tall. | contradiction | ((quiet(lucy))<=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((brave(X)<~>happy(X))=>kind(X)))&
(((~strong(paul)&curious(paul)))<=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:(happy(X)))<=>((~tall(susan)<~>funny(susan))))&
((?[X]:(~kind(X)))=>(?[X]:(~rich(X))))&... | ~tall(susan) | [
"p4",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2606948128397381754931277
% SZS output start Proof for 2606948128397381754931277
5. ? [X0] : happy(X0) <=> (~tall(susan) <~> funny(susan)) [input p4]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) => (~funny(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (happy(X0) ... | 0 |
Everyone who is humble or not creative is either not creative or creative.
Everyone who is either generous or not strong is either creative or not old and vice versa.
If someone is both generous and not generous then mary is calm.
Everyone who is both funny and not strong is both not quiet and not funny and vice versa.... | Mary is funny. | entailment | (![X]:((humble(X)|~creative(X))=>(~creative(X)<~>creative(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(creative(X)<~>~old(X))))&
((?[X]:((generous(X)&~generous(X))))=>(calm(mary)))&
(![X]:((funny(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~strong(X)=>(~brave(X)&brave(X))))&
(((~old(john)|~calm(john)))=>(?[X]:(crea... | funny(mary) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6819767048915609390505291
% SZS output start Proof for 6819767048915609390505291
4. ! [X0] : ((~strong(X0) & funny(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p3]
13. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [input p12]
23. ~funny(mary) [input hypothesis]
41. ! [X0] : (... | 0 |
Everyone who is not humble is kind. If paul is humble then mary is old or not generous and vice versa. If someone is both not humble and not tall then alice is both not happy and generous and vice versa. Everyone who is not generous is not brave or not kind. If susan is not happy or not creative then alice is old or cu... | John is not patient. | neutral | (![X]:(~humble(X)=>kind(X)))&
((humble(paul))<=>((old(mary)|~generous(mary))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~happy(alice)&generous(alice))))&
(![X]:(~generous(X)=>(~brave(X)|~kind(X))))&
(((~happy(susan)|~creative(susan)))<=>((old(alice)|curious(alice))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:((brave(X)&~t... | ~patient(john) | [] | null | 0 |
If someone is not brave or not calm then lucy is either not creative or not happy. Everyone who is either not kind or not curious is both generous and rich and vice versa. If fred is either rich or not old then fred is both not quiet and not kind and vice versa. Everyone who is not generous or quiet is both not calm an... | Mary is not old. | contradiction | ((?[X]:((~brave(X)|~calm(X))))=>((~creative(lucy)<~>~happy(lucy))))&
(![X]:((~kind(X)<~>~curious(X))<=>(generous(X)&rich(X))))&
(((rich(fred)<~>~old(fred)))<=>((~quiet(fred)&~kind(fred))))&
(![X]:((~generous(X)|quiet(X))=>(~calm(X)&~creative(X))))&
((?[X]:((funny(X)|quiet(X))))=>(tall(fred)))&
(((~brave(john)<~>~calm(j... | ~old(mary) | [
"p6",
"p7",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 335399981376013793526147
% SZS output start Proof for 335399981376013793526147
7. ? [X0] : (kind(X0) <~> ~kind(X0)) <=> (~rich(mary) & humble(mary)) [input p6]
8. ! [X0] : ((old(X0) <~> rich(X0)) <=> (wise(X0) | happy(X0))) [input p7]
13. ? [X0] : (~creative(X0) | ~brave(X0)) => ? [X0] : ... | 0 |
Everyone who is either not generous or not strong is funny and vice versa. Everyone who is not humble or rich is either strong or not tall. Everyone who is both not curious and brave is not kind or not curious and vice versa. Everyone who is kind is old. If john is quiet then someone is either not wise or brave and vic... | John is not calm. | contradiction | (![X]:((~generous(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~humble(X)|rich(X))=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((calm(X)<~>~creative(X))))=>(?[X]:((wise(X)<~>tall(X)))))&
((?[X]:((humble... | ~calm(john) | [
"p2",
"p3",
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5120377234846675378120847
% SZS output start Proof for 5120377234846675378120847
3. ! [X0] : ((brave(X0) & ~curious(X0)) <=> (~curious(X0) | ~kind(X0))) [input p2]
4. ! [X0] : (kind(X0) => old(X0)) [input p3]
5. quiet(john) <=> ? [X0] : (~wise(X0) <~> brave(X0)) [input p4]
12. ! [X0] : ((... | 0 |
Everyone who is both quiet and kind is either not tall or brave and vice versa. If lucy is both not wise and not kind then someone is both creative and not strong. Everyone who is both not happy and not strong is not funny or not brave and vice versa. Everyone who is both humble and not patient is not kind and vice ver... | Fred is kind. | entailment | (![X]:((quiet(X)&kind(X))<=>(~tall(X)<~>brave(X))))&
(((~wise(lucy)&~kind(lucy)))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|h... | kind(fred) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4740922715390508455146724
% SZS output start Proof for 4740922715390508455146724
3. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p2]
10. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p9]
13. ! [X0] : ((~strong(X0) <~> funny(X0)) ... | 0 |
Everyone who is either not kind or generous is both tall and quiet.
If mary is both curious and strong then fred is either funny or rich.
If mary is kind or not kind then someone is generous or not patient and vice versa.
Everyone who is not brave is not kind or strong.
Everyone who is both not wise and generous is eit... | Mary is tall. | neutral | (![X]:((~kind(X)<~>generous(X))=>(tall(X)&quiet(X))))&
(((curious(mary)&strong(mary)))=>((funny(fred)<~>rich(fred))))&
(((kind(mary)|~kind(mary)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
(![X]:((~wise(X)&generous(X))=>(~kind(X)<~>old(X))))&
(![X]:((~happy(X)&kind(X))=>(~calm(X)|... | tall(mary) | [] | null | 0 |
If susan is wise or quiet then someone is strong. Everyone who is not generous is either not wise or rich. Everyone who is both not wise and curious is not patient and vice versa. If mary is kind then someone is either old or not wise. Everyone who is not generous is not rich and vice versa. If someone is both strong a... | Susan is not quiet. | neutral | (((wise(susan)|quiet(susan)))=>(?[X]:(strong(X))))&
(![X]:(~generous(X)=>(~wise(X)<~>rich(X))))&
(![X]:((~wise(X)&curious(X))<=>~patient(X)))&
((kind(mary))=>(?[X]:((old(X)<~>~wise(X)))))&
(![X]:(~generous(X)<=>~rich(X)))&
((?[X]:((strong(X)&funny(X))))<=>((~kind(lucy)|calm(lucy))))&
(![X]:((tall(X)<~>generous(X))=>tal... | ~quiet(susan) | [] | null | 0 |
Everyone who is either not humble or not rich is either not humble or not kind and vice versa.
If lucy is both not patient and not tall then lucy is both not creative and brave and vice versa.
If someone is both not humble and not tall then someone is not creative or not quiet.
Everyone who is wise is calm or curious a... | Lucy is not old. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~humble(X)<~>~kind(X))))&
(((~patient(lucy)&~tall(lucy)))<=>((~creative(lucy)&brave(lucy))))&
((?[X]:((~humble(X)&~tall(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~curi... | ~old(lucy) | [] | null | 0 |
If susan is curious or not humble then someone is not calm or generous and vice versa. Everyone who is not strong or not patient is both rich and not old and vice versa. Everyone who is strong or calm is both creative and not curious. Everyone who is both wise and creative is not funny and vice versa. If mary is either... | Fred is not calm. | entailment | (((curious(susan)|~humble(susan)))<=>(?[X]:((~calm(X)|generous(X)))))&
(![X]:((~strong(X)|~patient(X))<=>(rich(X)&~old(X))))&
(![X]:((strong(X)|calm(X))=>(creative(X)&~curious(X))))&
(![X]:((wise(X)&creative(X))<=>~funny(X)))&
(((~tall(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~humble(X)|... | ~calm(fred) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2983640592655171441789460
% SZS output start Proof for 2983640592655171441789460
3. ! [X0] : ((calm(X0) | strong(X0)) => (~curious(X0) & creative(X0))) [input p2]
22. curious(fred) [input p21]
25. calm(fred) [input hypothesis]
27. ! [X0] : ((~curious(X0) & creative(X0)) | (~calm(X0) & ~st... | 0 |
Everyone who is not humble or funny is curious.
Everyone who is not calm or not rich is generous or rich and vice versa.
If someone is either creative or rich then lucy is patient and vice versa.
Everyone who is both tall and generous is both not wise and creative.
If someone is either not calm or not generous then sus... | Lucy is not quiet. | neutral | (![X]:((~humble(X)|funny(X))=>curious(X)))&
(![X]:((~calm(X)|~rich(X))<=>(generous(X)|rich(X))))&
((?[X]:((creative(X)<~>rich(X))))<=>(patient(lucy)))&
(![X]:((tall(X)&generous(X))=>(~wise(X)&creative(X))))&
((?[X]:((~calm(X)<~>~generous(X))))=>((creative(susan)|generous(susan))))&
(![X]:((~humble(X)|~brave(X))<=>(funn... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not wise or old is both brave and strong.
Everyone who is both not old and humble is kind or not rich and vice versa.
Everyone who is not wise is not brave and vice versa.
Everyone who is both wise and not old is both not quiet and not tall and vice versa.
Everyone who is not calm is not patient ... | John is humble. | contradiction | (![X]:((~wise(X)<~>old(X))=>(brave(X)&strong(X))))&
(![X]:((~old(X)&humble(X))<=>(kind(X)|~rich(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&~tall(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(![X]:(generous(X)=>(~patient(X)&~tall(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~curi... | humble(john) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 788981385653385556411564
% SZS output start Proof for 788981385653385556411564
1. ! [X0] : ((~wise(X0) <~> old(X0)) => (strong(X0) & brave(X0))) [input p0]
2. ! [X0] : ((humble(X0) & ~old(X0)) <=> (~rich(X0) | kind(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> ~brave(X0)) [input p2]
4. ! [X... | 0 |
If mary is both calm and not calm then mary is not strong and vice versa.
Everyone who is both not calm and humble is not strong and vice versa.
Everyone who is curious or kind is either brave or not humble and vice versa.
Everyone who is old is either not creative or not old.
Everyone who is not funny or kind is eithe... | Fred is not calm. | entailment | (((calm(mary)&~calm(mary)))<=>(~strong(mary)))&
(![X]:((~calm(X)&humble(X))<=>~strong(X)))&
(![X]:((curious(X)|kind(X))<=>(brave(X)<~>~humble(X))))&
(![X]:(old(X)=>(~creative(X)<~>~old(X))))&
(![X]:((~funny(X)|kind(X))<=>(~wise(X)<~>calm(X))))&
(((~humble(lucy)&kind(lucy)))=>(?[X]:((~creative(X)<~>creative(X)))))&
((?[... | ~calm(fred) | [
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2104952435453818324640834
% SZS output start Proof for 2104952435453818324640834
2. ! [X0] : ((humble(X0) & ~calm(X0)) <=> ~strong(X0)) [input p1]
17. ~strong(fred) [input p16]
25. calm(fred) [input hypothesis]
41. ! [X0] : (((humble(X0) & ~calm(X0)) | strong(X0)) & (~strong(X0) | (~humbl... | 0 |
If fred is quiet or not brave then lucy is not kind.
Everyone who is both not curious and not creative is both tall and generous.
If mary is either humble or creative then someone is both not quiet and generous and vice versa.
If fred is not calm then someone is funny and vice versa.
Everyone who is not calm is either ... | Lucy is not rich. | neutral | (((quiet(fred)|~brave(fred)))=>(~kind(lucy)))&
(![X]:((~curious(X)&~creative(X))=>(tall(X)&generous(X))))&
(((humble(mary)<~>creative(mary)))<=>(?[X]:((~quiet(X)&generous(X)))))&
((~calm(fred))<=>(?[X]:(funny(X))))&
(![X]:(~calm(X)<=>(creative(X)<~>strong(X))))&
(![X]:((~creative(X)<~>generous(X))=>(~quiet(X)|~curious(... | ~rich(lucy) | [] | null | 0 |
If someone is both not tall and strong then someone is either strong or funny.
Everyone who is not brave or funny is either not curious or not kind and vice versa.
If paul is wise then someone is not rich and vice versa.
Everyone who is both not calm and not patient is not generous or not strong and vice versa.
Everyon... | Alice is happy. | contradiction | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((strong(X)<~>funny(X)))))&
(![X]:((~brave(X)|funny(X))<=>(~curious(X)<~>~kind(X))))&
((wise(paul))<=>(?[X]:(~rich(X))))&
(![X]:((~calm(X)&~patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:((~kind(X)<~>~generous(X))<=>(~creative(X)<~>curious(X))))&
(![X]:(wise(X)=>(creative(X)<~>pa... | happy(alice) | [
"p3",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8079039073739225841924828
% SZS output start Proof for 8079039073739225841924828
4. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~strong(X0) | ~generous(X0))) [input p3]
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> (strong(X0) & creative(X0))) [input p8]
10. (~calm(john) | funny(john)) => (~... | 0 |
If someone is either not strong or not patient then someone is not strong or not kind and vice versa.
Everyone who is either calm or not kind is both creative and old and vice versa.
If someone is happy then someone is both tall and not funny.
If mary is not happy or kind then lucy is not brave and vice versa.
If someo... | Fred is not quiet. | contradiction | ((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~strong(X)|~kind(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>(creative(X)&old(X))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)&~funny(X)))))&
(((~happy(mary)|kind(mary)))<=>(~brave(lucy)))&
((?[X]:(creative(X)))=>(humble(lucy)))&
((creative(mary))<=>((tall(fred)|happy(fred))))&
(![X]:... | ~quiet(fred) | [
"p1",
"p5",
"p8",
"p12",
"p16",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3279502173995625268241514
% SZS output start Proof for 3279502173995625268241514
2. ! [X0] : ((calm(X0) <~> ~kind(X0)) <=> (old(X0) & creative(X0))) [input p1]
6. creative(mary) <=> (happy(fred) | tall(fred)) [input p5]
9. ! [X0] : (wise(X0) <=> (~calm(X0) & tall(X0))) [input p8]
13. ! [X... | 0 |
Everyone who is not kind or not patient is either not patient or old and vice versa.
If someone is either not old or humble then paul is brave or funny and vice versa.
If lucy is either rich or happy then alice is strong or rich and vice versa.
If susan is both not creative and quiet then paul is either not generous or... | Lucy is creative. | neutral | (![X]:((~kind(X)|~patient(X))<=>(~patient(X)<~>old(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>((brave(paul)|funny(paul))))&
(((rich(lucy)<~>happy(lucy)))<=>((strong(alice)|rich(alice))))&
(((~creative(susan)&quiet(susan)))=>((~generous(paul)<~>kind(paul))))&
((?[X]:(strong(X)))=>(patient(fred)))&
(((~patient(paul)<~>gene... | creative(lucy) | [] | null | 0 |
If mary is quiet then lucy is not calm and vice versa.
If someone is not old then susan is either funny or not funny and vice versa.
If someone is not tall then someone is quiet or not creative and vice versa.
If someone is not patient then john is either not happy or old.
Everyone who is both not tall and old is not c... | Lucy is not calm. | neutral | ((quiet(mary))<=>(~calm(lucy)))&
((?[X]:(~old(X)))<=>((funny(susan)<~>~funny(susan))))&
((?[X]:(~tall(X)))<=>(?[X]:((quiet(X)|~creative(X)))))&
((?[X]:(~patient(X)))=>((~happy(john)<~>old(john))))&
(![X]:((~tall(X)&old(X))<=>~calm(X)))&
(![X]:(~humble(X)=>kind(X)))&
(![X]:((generous(X)&~funny(X))=>(~patient(X)<~>quiet(... | ~calm(lucy) | [] | null | 0 |
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