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 |
|---|---|---|---|---|---|---|---|
If fred is happy or old then alice is not calm and vice versa.
Everyone who is both funny and not quiet is not old and vice versa.
If someone is both not old and not curious then someone is either not calm or not quiet and vice versa.
Everyone who is both wise and happy is patient or not creative and vice versa.
If som... | Mary is not brave. | entailment | (((happy(fred)|old(fred)))<=>(~calm(alice)))&
(![X]:((funny(X)&~quiet(X))<=>~old(X)))&
((?[X]:((~old(X)&~curious(X))))<=>(?[X]:((~calm(X)<~>~quiet(X)))))&
(![X]:((wise(X)&happy(X))<=>(patient(X)|~creative(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~old(X)|brave(X))))<=>(?[X]:(generous(X))))&... | ~brave(mary) | [
"p1",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1088743601538713543327555
% SZS output start Proof for 1088743601538713543327555
2. ! [X0] : ((~quiet(X0) & funny(X0)) <=> ~old(X0)) [input p1]
10. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~funny(X0))) [input p9]
13. ! [X0] : (funny(X0) => (~curious(X0) & ~quiet(X0))) [input p12]
16. ! [X0] :... | 0 |
If paul is both not humble and patient then someone is either patient or not wise. If paul is either not kind or not curious then lucy is humble or not curious. Everyone who is both wise and not patient is not generous and vice versa. Everyone who is not old or happy is creative and vice versa. If someone is both not k... | Paul is calm. | neutral | (((~humble(paul)&patient(paul)))=>(?[X]:((patient(X)<~>~wise(X)))))&
(((~kind(paul)<~>~curious(paul)))=>((humble(lucy)|~curious(lucy))))&
(![X]:((wise(X)&~patient(X))<=>~generous(X)))&
(![X]:((~old(X)|happy(X))<=>creative(X)))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((~old(X)|~funny(X))=... | calm(paul) | [] | null | 0 |
Everyone who is curious or not creative is not calm.
Everyone who is both kind and curious is not patient or not strong and vice versa.
Everyone who is either not old or curious is either not kind or brave and vice versa.
If susan is not curious then mary is tall.
If someone is not humble then someone is either calm or... | Paul is patient. | entailment | (![X]:((curious(X)|~creative(X))=>~calm(X)))&
(![X]:((kind(X)&curious(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~old(X)<~>curious(X))<=>(~kind(X)<~>brave(X))))&
((~curious(susan))=>(tall(mary)))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)<~>~creative(X)))))&
(![X]:((rich(X)&~generous(X))<=>~strong(X)))&
(![X]:(~calm(X)=>(o... | patient(paul) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3598456043596224452355263
% SZS output start Proof for 3598456043596224452355263
1. ! [X0] : ((~creative(X0) | curious(X0)) => ~calm(X0)) [input p0]
2. ! [X0] : ((curious(X0) & kind(X0)) <=> (~strong(X0) | ~patient(X0))) [input p1]
7. ! [X0] : (~calm(X0) => (~old(X0) & old(X0))) [input p6... | 0 |
If paul is either not creative or not wise then mary is not happy or not tall. Everyone who is patient or happy is either brave or not calm. Everyone who is old is either not quiet or calm and vice versa. Everyone who is either not creative or generous is funny or generous and vice versa. Everyone who is either not hum... | Paul is not curious. | contradiction | (((~creative(paul)<~>~wise(paul)))=>((~happy(mary)|~tall(mary))))&
(![X]:((patient(X)|happy(X))=>(brave(X)<~>~calm(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(funny(X)|generous(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(humble(X)&~humble(X))))&
(![X]:((generous(X)&~generous(X))<=... | ~curious(paul) | [
"p3",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 152160695005515739436443
% SZS output start Proof for 152160695005515739436443
4. ! [X0] : ((~creative(X0) <~> generous(X0)) <=> (generous(X0) | funny(X0))) [input p3]
5. ! [X0] : ((~humble(X0) <~> ~old(X0)) <=> (~humble(X0) & humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) & generous... | 0 |
Everyone who is rich or not wise is curious or rich. Everyone who is either kind or not humble is not funny or tall and vice versa. Everyone who is either strong or not calm is both not wise and quiet. Everyone who is not creative or patient is calm or funny. If someone is old then paul is either not rich or curious an... | Paul is not humble. | neutral | (![X]:((rich(X)|~wise(X))=>(curious(X)|rich(X))))&
(![X]:((kind(X)<~>~humble(X))<=>(~funny(X)|tall(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~wise(X)&quiet(X))))&
(![X]:((~creative(X)|patient(X))=>(calm(X)|funny(X))))&
((?[X]:(old(X)))<=>((~rich(paul)<~>curious(paul))))&
(![X]:((~kind(X)&~creative(X))=>~strong(X)))&
(![X]... | ~humble(paul) | [] | null | 0 |
Everyone who is quiet is curious.
If lucy is wise or not patient then john is not generous.
If someone is not humble then someone is funny or not curious and vice versa.
Everyone who is not patient or not quiet is not patient and vice versa.
If john is rich or not generous then someone is either not strong or creative ... | Fred is kind. | entailment | (![X]:(quiet(X)=>curious(X)))&
(((wise(lucy)|~patient(lucy)))=>(~generous(john)))&
((?[X]:(~humble(X)))<=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>~patient(X)))&
(((rich(john)|~generous(john)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((humble(X)|old(X))=>(generous(X)<~>~old(X))))&
(![X]:... | kind(fred) | [
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4001678466210471061196958
% SZS output start Proof for 4001678466210471061196958
4. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((funny(X0) | ~wise(X0)) <=> ~quiet(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~funny(X0)) => ~wise(X0)) [input p10]
12. (old(... | 0 |
If someone is happy or brave then mary is both wise and not strong.
Everyone who is either not strong or generous is kind or not tall and vice versa.
Everyone who is either tall or not funny is both not quiet and brave.
If fred is both not patient and not generous then paul is curious.
Everyone who is brave or humble i... | Susan is not funny. | entailment | ((?[X]:((happy(X)|brave(X))))=>((wise(mary)&~strong(mary))))&
(![X]:((~strong(X)<~>generous(X))<=>(kind(X)|~tall(X))))&
(![X]:((tall(X)<~>~funny(X))=>(~quiet(X)&brave(X))))&
(((~patient(fred)&~generous(fred)))=>(curious(paul)))&
(![X]:((brave(X)|humble(X))=>(patient(X)&rich(X))))&
((~funny(susan))=>(?[X]:((~brave(X)|ca... | ~funny(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6757338427856198160120266
% SZS output start Proof for 6757338427856198160120266
13. ! [X0] : (strong(X0) <=> (~strong(X0) | ~funny(X0))) [input p12]
23. funny(susan) [input hypothesis]
57. ! [X0] : ((strong(X0) | (strong(X0) & funny(X0))) & ((~strong(X0) | ~funny(X0)) | ~strong(X0))) [nn... | 0 |
If alice is not kind or tall then someone is either not calm or not tall and vice versa.
Everyone who is funny or curious is either tall or happy.
Everyone who is both calm and not generous is not wise and vice versa.
Everyone who is both not rich and not generous is rich or calm and vice versa.
Everyone who is either ... | Alice is not rich. | entailment | (((~kind(alice)|tall(alice)))<=>(?[X]:((~calm(X)<~>~tall(X)))))&
(![X]:((funny(X)|curious(X))=>(tall(X)<~>happy(X))))&
(![X]:((calm(X)&~generous(X))<=>~wise(X)))&
(![X]:((~rich(X)&~generous(X))<=>(rich(X)|calm(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]... | ~rich(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7320246439729277100613567
% SZS output start Proof for 7320246439729277100613567
4. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p3]
22. rich(alice) [input hypothesis]
41. ! [X0] : (((~generous(X0) & ~rich(X0)) | (~calm(X0) & ~rich(X0))) & ((calm(X0) | rich(X0))... | 0 |
If fred is creative then susan is not quiet or patient and vice versa.
Everyone who is not creative is not humble or tall and vice versa.
Everyone who is either rich or not curious is both not old and curious.
If someone is not curious or curious then lucy is not kind.
Everyone who is happy is not old or old and vice v... | Alice is not patient. | neutral | ((creative(fred))<=>((~quiet(susan)|patient(susan))))&
(![X]:(~creative(X)<=>(~humble(X)|tall(X))))&
(![X]:((rich(X)<~>~curious(X))=>(~old(X)&curious(X))))&
((?[X]:((~curious(X)|curious(X))))=>(~kind(lucy)))&
(![X]:(happy(X)<=>(~old(X)|old(X))))&
(![X]:((creative(X)|~creative(X))<=>(strong(X)<~>patient(X))))&
(![X]:(ge... | ~patient(alice) | [] | null | 0 |
Everyone who is either not creative or curious is calm or quiet and vice versa. Everyone who is creative is both not quiet and not patient. Everyone who is not kind or not patient is either not wise or not calm. Everyone who is either not patient or funny is wise. Everyone who is either not humble or not happy is both ... | Susan is not happy. | contradiction | (![X]:((~creative(X)<~>curious(X))<=>(calm(X)|quiet(X))))&
(![X]:(creative(X)=>(~quiet(X)&~patient(X))))&
(![X]:((~kind(X)|~patient(X))=>(~wise(X)<~>~calm(X))))&
(![X]:((~patient(X)<~>funny(X))=>wise(X)))&
(![X]:((~humble(X)<~>~happy(X))<=>(~wise(X)&tall(X))))&
((wise(john))<=>(?[X]:(~happy(X))))&
((brave(fred))=>(?[X]... | ~happy(susan) | [
"p0",
"p1",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 852247828865759122485075
% SZS output start Proof for 852247828865759122485075
1. ! [X0] : ((~creative(X0) <~> curious(X0)) <=> (quiet(X0) | calm(X0))) [input p0]
2. ! [X0] : (creative(X0) => (~patient(X0) & ~quiet(X0))) [input p1]
15. ! [X0] : ((creative(X0) & ~strong(X0)) <=> (~curious(... | 0 |
Everyone who is either not quiet or not old is not tall or funny and vice versa. If paul is not kind or not brave then paul is not wise and vice versa. If someone is not strong or wise then lucy is both not calm and creative. Everyone who is either creative or funny is either not rich or brave. Everyone who is not gene... | Paul is tall. | entailment | (![X]:((~quiet(X)<~>~old(X))<=>(~tall(X)|funny(X))))&
(((~kind(paul)|~brave(paul)))<=>(~wise(paul)))&
((?[X]:((~strong(X)|wise(X))))=>((~calm(lucy)&creative(lucy))))&
(![X]:((creative(X)<~>funny(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~generous(X)|old(X))<=>(strong(X)&kind(X))))&
((?[X]:((~curious(X)|~calm(X))))=>(?[X]:(... | tall(paul) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2424382700174292897367133
% SZS output start Proof for 2424382700174292897367133
3. ? [X0] : (wise(X0) | ~strong(X0)) => (creative(lucy) & ~calm(lucy)) [input p2]
5. ! [X0] : ((old(X0) | ~generous(X0)) <=> (kind(X0) & strong(X0))) [input p4]
7. ! [X0] : ((calm(X0) | creative(X0)) <=> (ric... | 0 |
If john is either not generous or not brave then someone is both not old and not happy and vice versa.
Everyone who is both kind and not creative is happy or humble and vice versa.
If mary is either not curious or not happy then someone is curious or not humble and vice versa.
If someone is not creative then paul is no... | Paul is brave. | neutral | (((~generous(john)<~>~brave(john)))<=>(?[X]:((~old(X)&~happy(X)))))&
(![X]:((kind(X)&~creative(X))<=>(happy(X)|humble(X))))&
(((~curious(mary)<~>~happy(mary)))<=>(?[X]:((curious(X)|~humble(X)))))&
((?[X]:(~creative(X)))=>(~humble(paul)))&
(![X]:((~strong(X)&funny(X))<=>~strong(X)))&
(![X]:((~brave(X)<~>brave(X))<=>(qui... | brave(paul) | [] | null | 0 |
Everyone who is strong is both not old and not brave and vice versa.
Everyone who is not tall is tall or wise and vice versa.
Everyone who is not brave is wise or not tall and vice versa.
Everyone who is brave or not wise is kind or not strong.
If someone is both not wise and not generous then lucy is not creative or o... | Paul is not wise. | contradiction | (![X]:(strong(X)<=>(~old(X)&~brave(X))))&
(![X]:(~tall(X)<=>(tall(X)|wise(X))))&
(![X]:(~brave(X)<=>(wise(X)|~tall(X))))&
(![X]:((brave(X)|~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:((~wise(X)&~generous(X))))<=>((~creative(lucy)|old(lucy))))&
((?[X]:(happy(X)))=>(?[X]:((~curious(X)|~wise(X)))))&
((?[X]:(~old(X)))<=>(?[X... | ~wise(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2540971999794637313636930
% SZS output start Proof for 2540971999794637313636930
2. ! [X0] : (~tall(X0) <=> (wise(X0) | tall(X0))) [input p1]
24. ~wise(paul) [input hypothesis]
40. ! [X0] : ((~tall(X0) | (~wise(X0) & ~tall(X0))) & ((wise(X0) | tall(X0)) | tall(X0))) [nnf transformation 2]... | 0 |
Everyone who is both not generous and not happy is either not tall or not calm. Everyone who is both curious and not patient is not brave or not happy and vice versa. If john is either not funny or not rich then fred is not strong or not patient. If someone is not generous then paul is both not wise and not strong and ... | Paul is old. | entailment | (![X]:((~generous(X)&~happy(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((curious(X)&~patient(X))<=>(~brave(X)|~happy(X))))&
(((~funny(john)<~>~rich(john)))=>((~strong(fred)|~patient(fred))))&
((?[X]:(~generous(X)))<=>((~wise(paul)&~strong(paul))))&
(((old(fred)<~>happy(fred)))=>(?[X]:((patient(X)<~>old(X)))))&
((humble(paul))... | old(paul) | [
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5929762753662895571990337
% SZS output start Proof for 5929762753662895571990337
7. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~patient(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((~old(X0) | strong(X0)) => (creative(X0) & patient(X0))) [input p7]
11. ! [X0] : ((quiet(X0) & strong(X0)) <=>... | 0 |
If lucy is both humble and old then fred is both patient and happy.
Everyone who is not funny is not brave.
Everyone who is both curious and creative is both strong and not quiet.
If lucy is both not calm and happy then susan is both not calm and patient.
If mary is both not kind and not quiet then alice is either not ... | Lucy is strong. | neutral | (((humble(lucy)&old(lucy)))=>((patient(fred)&happy(fred))))&
(![X]:(~funny(X)=>~brave(X)))&
(![X]:((curious(X)&creative(X))=>(strong(X)&~quiet(X))))&
(((~calm(lucy)&happy(lucy)))=>((~calm(susan)&patient(susan))))&
(((~kind(mary)&~quiet(mary)))=>((~tall(alice)<~>calm(alice))))&
(![X]:((quiet(X)&calm(X))=>(funny(X)&~tall... | strong(lucy) | [] | null | 0 |
Everyone who is both funny and generous is humble and vice versa.
Everyone who is either wise or not humble is both not tall and not patient.
If alice is either not creative or not patient then someone is both not happy and not creative.
If someone is tall then someone is either rich or funny and vice versa.
Everyone w... | Paul is wise. | contradiction | (![X]:((funny(X)&generous(X))<=>humble(X)))&
(![X]:((wise(X)<~>~humble(X))=>(~tall(X)&~patient(X))))&
(((~creative(alice)<~>~patient(alice)))=>(?[X]:((~happy(X)&~creative(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((quiet(X)&~creative(X))=>(~humble(X)|~funny(X))))&
(((~tall(paul)<~>~wise(paul)))=... | wise(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7577567079207411001781511
% SZS output start Proof for 7577567079207411001781511
1. ! [X0] : ((generous(X0) & funny(X0)) <=> humble(X0)) [input p0]
4. ? [X0] : tall(X0) <=> ? [X0] : (rich(X0) <~> funny(X0)) [input p3]
6. (~tall(paul) <~> ~wise(paul)) => (tall(alice) | humble(alice)) [inpu... | 0 |
If fred is not generous or not patient then someone is wise or calm. Everyone who is not rich is generous and vice versa. Everyone who is brave or happy is both curious and creative. Everyone who is wise or not humble is not creative. If someone is calm then someone is happy or kind and vice versa. If john is not wise ... | Lucy is happy. | contradiction | (((~generous(fred)|~patient(fred)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(~rich(X)<=>generous(X)))&
(![X]:((brave(X)|happy(X))=>(curious(X)&creative(X))))&
(![X]:((wise(X)|~humble(X))=>~creative(X)))&
((?[X]:(calm(X)))<=>(?[X]:((happy(X)|kind(X)))))&
((~wise(john))=>(funny(paul)))&
(![X]:((~quiet(X)&creative(X))=>humble... | happy(lucy) | [
"p2",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2067201938150345488484920
% SZS output start Proof for 2067201938150345488484920
3. ! [X0] : ((happy(X0) | brave(X0)) => (creative(X0) & curious(X0))) [input p2]
8. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> ~funny(X0)) [input p7]
9. ! [X0] : (~calm(X0) <=> (~quiet(X0) & ~old(X0))) [input... | 0 |
Everyone who is both kind and not patient is either rich or not curious and vice versa.
If someone is both not quiet and wise then lucy is not funny.
Everyone who is either not generous or not brave is not brave or humble and vice versa.
If someone is brave or not brave then lucy is either curious or generous and vice ... | Lucy is not funny. | neutral | (![X]:((kind(X)&~patient(X))<=>(rich(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(~funny(lucy)))&
(![X]:((~generous(X)<~>~brave(X))<=>(~brave(X)|humble(X))))&
((?[X]:((brave(X)|~brave(X))))<=>((curious(lucy)<~>generous(lucy))))&
(![X]:((~patient(X)&~generous(X))=>(~quiet(X)|~creative(X))))&
((?[X]:((strong(X)|~... | ~funny(lucy) | [] | null | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Susan is not patient. | contradiction | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | ~patient(susan) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6326900472679191678291714
% SZS output start Proof for 6326900472679191678291714
3. ! [X0] : ((patient(X0) <~> humble(X0)) <=> (~strong(X0) & ~brave(X0))) [input p2]
6. ! [X0] : (~strong(X0) => (~generous(X0) & quiet(X0))) [input p5]
10. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> ~patient(X0... | 0 |
Everyone who is not rich is quiet and vice versa. Everyone who is either patient or curious is both not tall and kind. If lucy is both not creative and not quiet then fred is happy. Everyone who is both curious and rich is not funny or not creative and vice versa. If john is brave or old then john is both not strong an... | Mary is not funny. | entailment | (![X]:(~rich(X)<=>quiet(X)))&
(![X]:((patient(X)<~>curious(X))=>(~tall(X)&kind(X))))&
(((~creative(lucy)&~quiet(lucy)))=>(happy(fred)))&
(![X]:((curious(X)&rich(X))<=>(~funny(X)|~creative(X))))&
(((brave(john)|old(john)))<=>((~strong(john)&kind(john))))&
(((creative(mary)<~>~quiet(mary)))<=>((generous(lucy)&~calm(lucy)... | ~funny(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7919599362749670302386494
% SZS output start Proof for 7919599362749670302386494
15. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p14]
23. funny(mary) [input hypothesis]
55. ! [X0] : (((funny(X0) | ~calm(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & calm(X0)))) [nnf transfor... | 0 |
Everyone who is not rich or not generous is both not rich and quiet. If mary is both curious and not tall then someone is both not funny and generous. If paul is both not kind and wise then fred is either not patient or not kind and vice versa. Everyone who is either not creative or not funny is both kind and patient a... | John is humble. | neutral | (![X]:((~rich(X)|~generous(X))=>(~rich(X)&quiet(X))))&
(((curious(mary)&~tall(mary)))=>(?[X]:((~funny(X)&generous(X)))))&
(((~kind(paul)&wise(paul)))<=>((~patient(fred)<~>~kind(fred))))&
(![X]:((~creative(X)<~>~funny(X))<=>(kind(X)&patient(X))))&
(![X]:(~patient(X)<=>(funny(X)<~>~calm(X))))&
(![X]:(humble(X)<=>(~creati... | humble(john) | [] | null | 0 |
If paul is either not curious or quiet then someone is both not humble and calm and vice versa.
Everyone who is strong or not curious is both not strong and wise.
Everyone who is rich or not generous is not brave.
If john is wise or not generous then paul is happy or not generous and vice versa.
If someone is patient t... | Fred is not quiet. | neutral | (((~curious(paul)<~>quiet(paul)))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((strong(X)|~curious(X))=>(~strong(X)&wise(X))))&
(![X]:((rich(X)|~generous(X))=>~brave(X)))&
(((wise(john)|~generous(john)))<=>((happy(paul)|~generous(paul))))&
((?[X]:(patient(X)))=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((~brave(X)<~>~patient(X)... | ~quiet(fred) | [] | null | 0 |
Everyone who is not calm is wise and vice versa.
If someone is both not old and happy then alice is happy or not tall.
If someone is not patient then susan is both not patient and rich and vice versa.
Everyone who is either not curious or not humble is happy.
If someone is both not strong and brave then susan is strong... | Paul is not curious. | entailment | (![X]:(~calm(X)<=>wise(X)))&
((?[X]:((~old(X)&happy(X))))=>((happy(alice)|~tall(alice))))&
((?[X]:(~patient(X)))<=>((~patient(susan)&rich(susan))))&
(![X]:((~curious(X)<~>~humble(X))=>happy(X)))&
((?[X]:((~strong(X)&brave(X))))<=>((strong(susan)|~brave(susan))))&
(![X]:(funny(X)<=>(~kind(X)<~>rich(X))))&
(![X]:(humble(... | ~curious(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4265570587859025716233527
% SZS output start Proof for 4265570587859025716233527
24. happy(paul) & ~curious(paul) [input p23]
25. curious(paul) [input hypothesis]
34. ~curious(paul) [pure predicate removal 24]
126. ~curious(paul) [cnf transformation 34]
127. curious(paul) [cnf transformat... | 0 |
If someone is not kind then paul is not quiet or wise.
Everyone who is both not curious and not patient is either calm or rich and vice versa.
If someone is not happy then someone is both patient and old.
If someone is either not funny or not humble then someone is either wise or not wise and vice versa.
Everyone who i... | Fred is not creative. | neutral | ((?[X]:(~kind(X)))=>((~quiet(paul)|wise(paul))))&
(![X]:((~curious(X)&~patient(X))<=>(calm(X)<~>rich(X))))&
((?[X]:(~happy(X)))=>(?[X]:((patient(X)&old(X)))))&
((?[X]:((~funny(X)<~>~humble(X))))<=>(?[X]:((wise(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>~happy(X))=>(~curious(X)&~old(X))))&
(((~generous(susan)<~>humble(susan... | ~creative(fred) | [] | null | 0 |
Everyone who is not calm or brave is both kind and strong. Everyone who is calm or not old is either brave or rich and vice versa. Everyone who is either curious or not old is both brave and strong. If someone is not quiet or not old then someone is strong or not calm and vice versa. If someone is tall or not curious t... | Lucy is not patient. | neutral | (![X]:((~calm(X)|brave(X))=>(kind(X)&strong(X))))&
(![X]:((calm(X)|~old(X))<=>(brave(X)<~>rich(X))))&
(![X]:((curious(X)<~>~old(X))=>(brave(X)&strong(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>(?[X]:((strong(X)|~calm(X)))))&
((?[X]:((tall(X)|~curious(X))))=>(?[X]:((tall(X)|~kind(X)))))&
((~rich(paul))<=>(?[X]:((~patient(X)... | ~patient(lucy) | [] | null | 0 |
If john is either calm or not calm then susan is humble or not generous and vice versa.
Everyone who is either not quiet or not humble is either not curious or old and vice versa.
Everyone who is brave is both quiet and humble and vice versa.
If someone is calm or funny then someone is either funny or generous and vice... | Alice is not funny. | neutral | (((calm(john)<~>~calm(john)))<=>((humble(susan)|~generous(susan))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~curious(X)<~>old(X))))&
(![X]:(brave(X)<=>(quiet(X)&humble(X))))&
((?[X]:((calm(X)|funny(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((~wise(X)|creative(X))<=>(wise(X)|~happy(X))))&
(![X]:((~brave(X)|~tall(X))... | ~funny(alice) | [] | null | 0 |
Everyone who is either not patient or not creative is either rich or not calm.
If someone is strong then susan is both not strong and tall and vice versa.
Everyone who is old or calm is either funny or creative.
Everyone who is both happy and not old is strong or not brave and vice versa.
Everyone who is quiet is calm ... | Alice is not old. | entailment | (![X]:((~patient(X)<~>~creative(X))=>(rich(X)<~>~calm(X))))&
((?[X]:(strong(X)))<=>((~strong(susan)&tall(susan))))&
(![X]:((old(X)|calm(X))=>(funny(X)<~>creative(X))))&
(![X]:((happy(X)&~old(X))<=>(strong(X)|~brave(X))))&
(![X]:(quiet(X)<=>(calm(X)|~patient(X))))&
(![X]:((kind(X)<~>~tall(X))<=>quiet(X)))&
(![X]:((~curi... | ~old(alice) | [
"p2",
"p3",
"p5",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8709735690820432922696318
% SZS output start Proof for 8709735690820432922696318
3. ! [X0] : ((calm(X0) | old(X0)) => (funny(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~old(X0) & happy(X0)) <=> (~brave(X0) | strong(X0))) [input p3]
6. ! [X0] : ((kind(X0) <~> ~tall(X0)) <=> quiet(X0))... | 0 |
Everyone who is either not curious or rich is both brave and not happy and vice versa. Everyone who is funny or curious is not humble. Everyone who is calm or not generous is both not strong and humble and vice versa. If someone is both not kind and not happy then mary is funny or happy and vice versa. Everyone who is ... | Lucy is not funny. | entailment | (![X]:((~curious(X)<~>rich(X))<=>(brave(X)&~happy(X))))&
(![X]:((funny(X)|curious(X))=>~humble(X)))&
(![X]:((calm(X)|~generous(X))<=>(~strong(X)&humble(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((funny(mary)|happy(mary))))&
(![X]:((tall(X)&humble(X))=>patient(X)))&
(![X]:((~strong(X)&~creative(X))=>(calm(X)&tall(X))))&
(... | ~funny(lucy) | [
"p1",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1634928431600529879738062
% SZS output start Proof for 1634928431600529879738062
2. ! [X0] : ((curious(X0) | funny(X0)) => ~humble(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | calm(X0)) <=> (humble(X0) & ~strong(X0))) [input p2]
11. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0... | 0 |
If someone is both not humble and brave then someone is both tall and not wise and vice versa.
Everyone who is both not happy and not generous is both happy and quiet and vice versa.
Everyone who is not brave or humble is not generous or not funny.
Everyone who is either quiet or calm is both not brave and not strong a... | Paul is humble. | entailment | ((?[X]:((~humble(X)&brave(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
(![X]:((~happy(X)&~generous(X))<=>(happy(X)&quiet(X))))&
(![X]:((~brave(X)|humble(X))=>(~generous(X)|~funny(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(~brave(X)&~strong(X))))&
(![X]:((old(X)|~rich(X))<=>(~wise(X)|~old(X))))&
(![X]:((strong(X)&brave(X))=>(old(X)... | humble(paul) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 727613860325744380365391
% SZS output start Proof for 727613860325744380365391
1. ? [X0] : (brave(X0) & ~humble(X0)) <=> ? [X0] : (~wise(X0) & tall(X0)) [input p0]
4. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (~strong(X0) & ~brave(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | old(X0)) <=> (~old... | 0 |
Everyone who is both not humble and generous is both tall and patient and vice versa.
Everyone who is generous or not quiet is strong or wise and vice versa.
Everyone who is both not curious and not strong is not happy.
Everyone who is not calm or patient is both not rich and not curious and vice versa.
If someone is h... | Fred is not generous. | neutral | (![X]:((~humble(X)&generous(X))<=>(tall(X)&patient(X))))&
(![X]:((generous(X)|~quiet(X))<=>(strong(X)|wise(X))))&
(![X]:((~curious(X)&~strong(X))=>~happy(X)))&
(![X]:((~calm(X)|patient(X))<=>(~rich(X)&~curious(X))))&
((?[X]:((humble(X)|~patient(X))))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:(tall(X)<=>~strong(X)))&
(![X... | ~generous(fred) | [] | null | 0 |
If mary is not patient then someone is not patient. If paul is not kind then lucy is humble and vice versa. Everyone who is either kind or wise is not curious and vice versa. Everyone who is either strong or brave is both not generous and rich. If lucy is not tall then lucy is humble and vice versa. Everyone who is eit... | Mary is not creative. | contradiction | ((~patient(mary))=>(?[X]:(~patient(X))))&
((~kind(paul))<=>(humble(lucy)))&
(![X]:((kind(X)<~>wise(X))<=>~curious(X)))&
(![X]:((strong(X)<~>brave(X))=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
(![X]:(~curious(X)... | ~creative(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7224172977686606555480758
% SZS output start Proof for 7224172977686606555480758
6. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : (strong(X0) <=> (~quiet(X0) & creative(X0))) [input p8]
23. ~creative(mary) [input hypothesis]
42. ! [X0] : ((((creative(... | 0 |
Everyone who is funny or old is both wise and not strong.
If someone is not kind then paul is both not rich and tall and vice versa.
If someone is either patient or not generous then fred is kind or not brave and vice versa.
If someone is old then lucy is both brave and not tall and vice versa.
Everyone who is either n... | Mary is old. | contradiction | (![X]:((funny(X)|old(X))=>(wise(X)&~strong(X))))&
((?[X]:(~kind(X)))<=>((~rich(paul)&tall(paul))))&
((?[X]:((patient(X)<~>~generous(X))))<=>((kind(fred)|~brave(fred))))&
((?[X]:(old(X)))<=>((brave(lucy)&~tall(lucy))))&
(![X]:((~old(X)<~>humble(X))<=>patient(X)))&
(![X]:((~wise(X)&~rich(X))=>(~tall(X)<~>~creative(X))))&... | old(mary) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5228286929906670397659633
% SZS output start Proof for 5228286929906670397659633
10. ? [X0] : (happy(X0) | quiet(X0)) <=> ~old(mary) [input p9]
11. ? [X0] : (~happy(X0) | generous(X0)) => ? [X0] : (brave(X0) & quiet(X0)) [input p10]
24. old(mary) [input hypothesis]
26. ? [X0] : (~happy(X0... | 0 |
If someone is humble or generous then someone is rich or old. Everyone who is both not happy and generous is either not brave or brave. If paul is both not kind and not rich then someone is both calm and curious. If paul is either not creative or not humble then mary is both not kind and brave and vice versa. Everyone ... | Lucy is kind. | neutral | ((?[X]:((humble(X)|generous(X))))=>(?[X]:((rich(X)|old(X)))))&
(![X]:((~happy(X)&generous(X))=>(~brave(X)<~>brave(X))))&
(((~kind(paul)&~rich(paul)))=>(?[X]:((calm(X)&curious(X)))))&
(((~creative(paul)<~>~humble(paul)))<=>((~kind(mary)&brave(mary))))&
(![X]:(wise(X)=>(~happy(X)&tall(X))))&
(((old(alice)<~>rich(alice)))... | kind(lucy) | [] | null | 0 |
Everyone who is quiet or tall is not humble or patient and vice versa.
Everyone who is generous or kind is not kind and vice versa.
If john is not old then john is either not tall or not curious and vice versa.
If someone is not tall then someone is both not generous and patient and vice versa.
If lucy is strong or not... | Lucy is calm. | contradiction | (![X]:((quiet(X)|tall(X))<=>(~humble(X)|patient(X))))&
(![X]:((generous(X)|kind(X))<=>~kind(X)))&
((~old(john))<=>((~tall(john)<~>~curious(john))))&
((?[X]:(~tall(X)))<=>(?[X]:((~generous(X)&patient(X)))))&
(((strong(lucy)|~wise(lucy)))=>((brave(fred)|~strong(fred))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((rich(susan)<... | calm(lucy) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7775492008766495698240592
% SZS output start Proof for 7775492008766495698240592
2. ! [X0] : ((kind(X0) | generous(X0)) <=> ~kind(X0)) [input p1]
8. ? [X0] : (calm(X0) & ~kind(X0)) => (tall(susan) & ~generous(susan)) [input p7]
24. calm(lucy) [input hypothesis]
31. (tall(susan) & ~generou... | 0 |
Everyone who is either not calm or brave is either not curious or brave.
Everyone who is both old and not funny is either not creative or old.
If someone is either not patient or not quiet then susan is not patient.
Everyone who is both not curious and wise is happy or strong and vice versa.
Everyone who is either not ... | Mary is generous. | neutral | (![X]:((~calm(X)<~>brave(X))=>(~curious(X)<~>brave(X))))&
(![X]:((old(X)&~funny(X))=>(~creative(X)<~>old(X))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(~patient(susan)))&
(![X]:((~curious(X)&wise(X))<=>(happy(X)|strong(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~quiet(X)&~rich(X))))&
(((~brave(mary)|kind(mary)))<=>((~tall(mar... | generous(mary) | [] | null | 0 |
If someone is both not strong and not old then mary is strong or brave.
Everyone who is not patient or not wise is not old and vice versa.
If fred is both quiet and not patient then someone is brave and vice versa.
If lucy is not curious then fred is both not brave and not kind and vice versa.
Everyone who is brave is ... | Lucy is not patient. | neutral | ((?[X]:((~strong(X)&~old(X))))=>((strong(mary)|brave(mary))))&
(![X]:((~patient(X)|~wise(X))<=>~old(X)))&
(((quiet(fred)&~patient(fred)))<=>(?[X]:(brave(X))))&
((~curious(lucy))<=>((~brave(fred)&~kind(fred))))&
(![X]:(brave(X)<=>~tall(X)))&
(![X]:((old(X)&~funny(X))=>(~funny(X)&tall(X))))&
(((wise(fred)&~quiet(fred)))<... | ~patient(lucy) | [] | null | 0 |
Everyone who is not humble is happy and vice versa. If someone is rich then someone is not calm and vice versa. If john is either funny or calm then john is not strong or patient and vice versa. If alice is wise or old then someone is either generous or not creative. Everyone who is wise is either not kind or not funny... | John is humble. | entailment | (![X]:(~humble(X)<=>happy(X)))&
((?[X]:(rich(X)))<=>(?[X]:(~calm(X))))&
(((funny(john)<~>calm(john)))<=>((~strong(john)|patient(john))))&
(((wise(alice)|old(alice)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(wise(X)<=>(~kind(X)<~>~funny(X))))&
(![X]:((generous(X)&happy(X))<=>(rich(X)|~wise(X))))&
(![X]:(patient(X... | humble(john) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 311727771946512335673929
% SZS output start Proof for 311727771946512335673929
1. ! [X0] : (~humble(X0) <=> happy(X0)) [input p0]
6. ! [X0] : ((happy(X0) & generous(X0)) <=> (~wise(X0) | rich(X0))) [input p5]
7. ! [X0] : (patient(X0) <=> (~wise(X0) <~> generous(X0))) [input p6]
8. ! [X0] ... | 0 |
If lucy is either not quiet or not wise then someone is brave.
Everyone who is both not strong and strong is not strong and vice versa.
Everyone who is either not creative or not funny is not wise or funny.
Everyone who is not patient is either not happy or generous and vice versa.
If someone is not old then someone is... | Paul is not calm. | entailment | (((~quiet(lucy)<~>~wise(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~strong(X)&strong(X))<=>~strong(X)))&
(![X]:((~creative(X)<~>~funny(X))=>(~wise(X)|funny(X))))&
(![X]:(~patient(X)<=>(~happy(X)<~>generous(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~humble(X)|humble(X))=>(curious(X)<~>rich(X))))&
(![X]:(~humble(X... | ~calm(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 16971297458232286973657
% SZS output start Proof for 16971297458232286973657
12. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~calm(X0)) [input p11]
21. calm(paul) [input hypothesis]
61. ! [X0] : (((~humble(X0) | humble(X0)) | calm(X0)) & (~calm(X0) | (humble(X0) & ~humble(X0)))) [nnf transfo... | 0 |
Everyone who is happy is not strong and vice versa. Everyone who is strong is tall or patient and vice versa. If fred is both not curious and not quiet then someone is both patient and curious. If alice is calm then someone is happy and vice versa. Everyone who is kind or not old is either not curious or generous and v... | John is not wise. | entailment | (![X]:(happy(X)<=>~strong(X)))&
(![X]:(strong(X)<=>(tall(X)|patient(X))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((patient(X)&curious(X)))))&
((calm(alice))<=>(?[X]:(happy(X))))&
(![X]:((kind(X)|~old(X))<=>(~curious(X)<~>generous(X))))&
((~old(fred))=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((tall(X)<~>rich(X))<=>happ... | ~wise(john) | [
"p0",
"p1",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5267611854593461556784624
% SZS output start Proof for 5267611854593461556784624
1. ! [X0] : (happy(X0) <=> ~strong(X0)) [input p0]
2. ! [X0] : (strong(X0) <=> (patient(X0) | tall(X0))) [input p1]
8. ! [X0] : ((brave(X0) | wise(X0)) => (patient(X0) & curious(X0))) [input p7]
15. ! [X0] : ... | 0 |
Everyone who is not creative is kind or humble and vice versa.
If john is either not strong or creative then alice is not patient or not funny.
If fred is either not brave or patient then someone is both calm and kind and vice versa.
Everyone who is either calm or not humble is not wise or strong.
Everyone who is humbl... | Lucy is quiet. | neutral | (![X]:(~creative(X)<=>(kind(X)|humble(X))))&
(((~strong(john)<~>creative(john)))=>((~patient(alice)|~funny(alice))))&
(((~brave(fred)<~>patient(fred)))<=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((calm(X)<~>~humble(X))=>(~wise(X)|strong(X))))&
(![X]:(humble(X)<=>(patient(X)<~>~kind(X))))&
(((creative(alice)<~>wise(alice)))=>... | quiet(lucy) | [] | null | 0 |
If someone is not brave or calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous and vice versa. If someone is either not wise or not generous then someone is either not strong or not quiet. Everyone who is humble or ... | Susan is quiet. | entailment | ((?[X]:((~brave(X)|calm(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))<=>(tall(X)|funny(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|pati... | quiet(susan) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5383187622185768411750906
% SZS output start Proof for 5383187622185768411750906
3. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p2]
4. ? [X0] : (~wise(X0) <~> ~generous(X0)) => ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p3]
7. ! [X0] : ((~patient(X0) | wise(X0)) => (h... | 0 |
Everyone who is wise or not wise is both patient and not generous. Everyone who is not quiet is not tall and vice versa. If lucy is humble then someone is both quiet and not tall and vice versa. Everyone who is both not quiet and strong is both not rich and not generous. Everyone who is creative is either not strong or... | Alice is brave. | contradiction | (![X]:((wise(X)|~wise(X))=>(patient(X)&~generous(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((humble(lucy))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~quiet(X)&strong(X))=>(~rich(X)&~generous(X))))&
(![X]:(creative(X)=>(~strong(X)<~>generous(X))))&
(![X]:((~old(X)<~>~quiet(X))=>(creative(X)|~kind(X))))&
(![X]:((kind(X)<~>cur... | brave(alice) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3081820694272697380458843
% SZS output start Proof for 3081820694272697380458843
1. ! [X0] : ((~wise(X0) | wise(X0)) => (~generous(X0) & patient(X0))) [input p0]
5. ! [X0] : (creative(X0) => (~strong(X0) <~> generous(X0))) [input p4]
7. ! [X0] : ((kind(X0) <~> curious(X0)) <=> ~rich(X0)) ... | 0 |
If mary is either not generous or not creative then someone is either old or not happy.
Everyone who is either kind or patient is either strong or creative and vice versa.
Everyone who is not patient or not happy is not generous.
Everyone who is not humble is not wise or creative.
If fred is either not patient or not c... | John is not humble. | neutral | (((~generous(mary)<~>~creative(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((kind(X)<~>patient(X))<=>(strong(X)<~>creative(X))))&
(![X]:((~patient(X)|~happy(X))=>~generous(X)))&
(![X]:(~humble(X)=>(~wise(X)|creative(X))))&
(((~patient(fred)<~>~calm(fred)))=>(?[X]:((old(X)|~humble(X)))))&
(![X]:(funny(X)=>~tall(X)))&... | ~humble(john) | [] | null | 0 |
Everyone who is calm or wise is either patient or not curious.
Everyone who is creative or not strong is brave or happy and vice versa.
If someone is both calm and not curious then alice is funny or happy.
Everyone who is rich or happy is not happy or not patient and vice versa.
Everyone who is not generous or not brav... | John is not strong. | entailment | (![X]:((calm(X)|wise(X))=>(patient(X)<~>~curious(X))))&
(![X]:((creative(X)|~strong(X))<=>(brave(X)|happy(X))))&
((?[X]:((calm(X)&~curious(X))))=>((funny(alice)|happy(alice))))&
(![X]:((rich(X)|happy(X))<=>(~happy(X)|~patient(X))))&
(![X]:((~generous(X)|~brave(X))<=>(curious(X)|~quiet(X))))&
((?[X]:((~strong(X)&old(X))... | ~strong(john) | [
"p0",
"p1",
"p4",
"p10",
"p11",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7241268854153033914461587
% SZS output start Proof for 7241268854153033914461587
1. ! [X0] : ((wise(X0) | calm(X0)) => (patient(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((~strong(X0) | creative(X0)) <=> (happy(X0) | brave(X0))) [input p1]
5. ! [X0] : ((~brave(X0) | ~generous(X0)) <=>... | 0 |
Everyone who is both tall and happy is both calm and wise and vice versa.
Everyone who is not creative is either funny or happy.
If john is both not kind and not wise then fred is both calm and brave and vice versa.
Everyone who is both tall and brave is both rich and not brave and vice versa.
If someone is either not ... | Lucy is not tall. | contradiction | (![X]:((tall(X)&happy(X))<=>(calm(X)&wise(X))))&
(![X]:(~creative(X)=>(funny(X)<~>happy(X))))&
(((~kind(john)&~wise(john)))<=>((calm(fred)&brave(fred))))&
(![X]:((tall(X)&brave(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:(kind(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(~happy(X)|~calm(X))))&
(!... | ~tall(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6848571227169916523482088
% SZS output start Proof for 6848571227169916523482088
10. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~tall(X0) | creative(X0))) [input p9]
18. ~tall(lucy) [input hypothesis]
47. ! [X0] : (((~creative(X0) & creative(X0)) | (tall(X0) & ~creative(X0))) & ((~tall... | 0 |
If mary is either generous or not creative then someone is both not creative and funny and vice versa. Everyone who is not wise is both humble and kind and vice versa. Everyone who is both not kind and rich is either happy or quiet and vice versa. If someone is creative or not creative then someone is both not patient ... | Susan is not rich. | contradiction | (((generous(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:(~wise(X)<=>(humble(X)&kind(X))))&
(![X]:((~kind(X)&rich(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:((~curious(X)<~>curious(X))))<=>((strong(john)<~>patient(john))))&
(![X]:... | ~rich(susan) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6471406782352691931960082
% SZS output start Proof for 6471406782352691931960082
3. ! [X0] : ((rich(X0) & ~kind(X0)) <=> (happy(X0) <~> quiet(X0))) [input p2]
6. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> ~old(X0)) [input p5]
7. ! [X0] : ((happy(X0) <~> ~curious(X0)) <=> old(X0)) [input p6]
9... | 0 |
If alice is both tall and not strong then someone is both not happy and calm and vice versa. If mary is not rich or not happy then someone is humble and vice versa. Everyone who is kind or not wise is both creative and not funny and vice versa. If someone is both happy and not calm then someone is calm or rich and vice... | John is quiet. | contradiction | (((tall(alice)&~strong(alice)))<=>(?[X]:((~happy(X)&calm(X)))))&
(((~rich(mary)|~happy(mary)))<=>(?[X]:(humble(X))))&
(![X]:((kind(X)|~wise(X))<=>(creative(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<... | quiet(john) | [
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6412937853672078987260558
% SZS output start Proof for 6412937853672078987260558
7. ? [X0] : ~kind(X0) => (kind(john) & creative(john)) [input p6]
9. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (calm(X0) <~> quiet(X0))) [input p8]
12. ! [X0] : ((calm(X0) | ~strong(X0)) => (tall(X0) & ~tall(X0))... | 0 |
If alice is both not tall and curious then fred is both creative and happy.
Everyone who is humble or rich is either not calm or not brave.
Everyone who is generous or not happy is both not strong and not calm.
If fred is not funny or brave then someone is creative.
If susan is calm or not brave then fred is calm or no... | Paul is not strong. | entailment | (((~tall(alice)&curious(alice)))=>((creative(fred)&happy(fred))))&
(![X]:((humble(X)|rich(X))=>(~calm(X)<~>~brave(X))))&
(![X]:((generous(X)|~happy(X))=>(~strong(X)&~calm(X))))&
(((~funny(fred)|brave(fred)))=>(?[X]:(creative(X))))&
(((calm(susan)|~brave(susan)))<=>((calm(fred)|~creative(fred))))&
((?[X]:((~rich(X)&kind... | ~strong(paul) | [
"p2",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5163693182483875475421625
% SZS output start Proof for 5163693182483875475421625
3. ! [X0] : ((~happy(X0) | generous(X0)) => (~calm(X0) & ~strong(X0))) [input p2]
9. ? [X0] : rich(X0) => ~happy(paul) [input p8]
18. ? [X0] : rich(X0) [input p17]
24. strong(paul) [input hypothesis]
32. ! [X... | 0 |
Everyone who is funny is both not tall and generous and vice versa. If someone is either not curious or not rich then someone is both happy and not humble and vice versa. Everyone who is not quiet or not creative is both not tall and creative and vice versa. Everyone who is both not wise and not brave is quiet or not r... | Paul is tall. | contradiction | (![X]:(funny(X)<=>(~tall(X)&generous(X))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:((~quiet(X)|~creative(X))<=>(~tall(X)&creative(X))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X... | tall(paul) | [
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6093516403104918365807485
% SZS output start Proof for 6093516403104918365807485
3. ! [X0] : ((~creative(X0) | ~quiet(X0)) <=> (creative(X0) & ~tall(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> (~rich(X0) | quiet(X0))) [input p3]
8. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~... | 0 |
Everyone who is not generous or not calm is both not calm and kind and vice versa.
If lucy is either calm or rich then mary is curious and vice versa.
Everyone who is either calm or not humble is strong.
If someone is rich then lucy is not happy or tall.
If someone is not creative then john is both curious and not wise... | Lucy is not strong. | contradiction | (![X]:((~generous(X)|~calm(X))<=>(~calm(X)&kind(X))))&
(((calm(lucy)<~>rich(lucy)))<=>(curious(mary)))&
(![X]:((calm(X)<~>~humble(X))=>strong(X)))&
((?[X]:(rich(X)))=>((~happy(lucy)|tall(lucy))))&
((?[X]:(~creative(X)))=>((curious(john)&~wise(john))))&
(![X]:((~quiet(X)&~patient(X))<=>(~humble(X)&~kind(X))))&
((?[X]:((... | ~strong(lucy) | [
"p0",
"p2",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7804783287258972812640887
% SZS output start Proof for 7804783287258972812640887
1. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (kind(X0) & ~calm(X0))) [input p0]
3. ! [X0] : ((calm(X0) <~> ~humble(X0)) => strong(X0)) [input p2]
6. ! [X0] : ((~patient(X0) & ~quiet(X0)) <=> (~kind(X0) & ~hum... | 0 |
Everyone who is both not happy and not kind is happy and vice versa.
If lucy is not calm or not curious then susan is kind and vice versa.
Everyone who is both not generous and creative is rich or quiet and vice versa.
If paul is both patient and not wise then someone is either quiet or not happy and vice versa.
If som... | John is not patient. | neutral | (![X]:((~happy(X)&~kind(X))<=>happy(X)))&
(((~calm(lucy)|~curious(lucy)))<=>(kind(susan)))&
(![X]:((~generous(X)&creative(X))<=>(rich(X)|quiet(X))))&
(((patient(paul)&~wise(paul)))<=>(?[X]:((quiet(X)<~>~happy(X)))))&
((?[X]:(~humble(X)))<=>((~creative(alice)|~rich(alice))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|~humble(... | ~patient(john) | [] | null | 0 |
Everyone who is both wise and humble is creative and vice versa.
If someone is not wise then someone is not happy.
If someone is not generous or not tall then someone is both funny and calm.
Everyone who is not creative is either not creative or not rich.
Everyone who is both not rich and brave is wise and vice versa.
... | John is brave. | entailment | (![X]:((wise(X)&humble(X))<=>creative(X)))&
((?[X]:(~wise(X)))=>(?[X]:(~happy(X))))&
((?[X]:((~generous(X)|~tall(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(~creative(X)=>(~creative(X)<~>~rich(X))))&
(![X]:((~rich(X)&brave(X))<=>wise(X)))&
(![X]:((~creative(X)|wise(X))=>(~patient(X)&generous(X))))&
((?[X]:((~kind(X)<~>... | brave(john) | [
"p0",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4925350448210382544593594
% SZS output start Proof for 4925350448210382544593594
1. ! [X0] : ((humble(X0) & wise(X0)) <=> creative(X0)) [input p0]
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> wise(X0)) [input p4]
8. ? [X0] : (~brave(X0) & calm(X0)) <=> ? [X0] : rich(X0) [input p7]
11. ! [X0] ... | 0 |
Everyone who is both not curious and not brave is old and vice versa.
If someone is happy or not curious then paul is not generous or not creative.
Everyone who is both not creative and not generous is either patient or not brave and vice versa.
Everyone who is either kind or not funny is both old and not humble.
Every... | Alice is not tall. | neutral | (![X]:((~curious(X)&~brave(X))<=>old(X)))&
((?[X]:((happy(X)|~curious(X))))=>((~generous(paul)|~creative(paul))))&
(![X]:((~creative(X)&~generous(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((kind(X)<~>~funny(X))=>(old(X)&~humble(X))))&
(![X]:((~happy(X)|~calm(X))=>(~old(X)|~rich(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((~... | ~tall(alice) | [] | null | 0 |
Everyone who is both curious and not curious is not calm and vice versa.
Everyone who is both not humble and not funny is both not calm and humble and vice versa.
If lucy is either funny or kind then mary is not kind or not tall and vice versa.
Everyone who is not strong or not tall is either patient or strong and vice... | Fred is not old. | neutral | (![X]:((curious(X)&~curious(X))<=>~calm(X)))&
(![X]:((~humble(X)&~funny(X))<=>(~calm(X)&humble(X))))&
(((funny(lucy)<~>kind(lucy)))<=>((~kind(mary)|~tall(mary))))&
(![X]:((~strong(X)|~tall(X))<=>(patient(X)<~>strong(X))))&
(![X]:((generous(X)&~generous(X))<=>(~brave(X)&~patient(X))))&
(![X]:(~curious(X)=>(~old(X)|~humb... | ~old(fred) | [] | null | 0 |
Everyone who is either happy or humble is creative and vice versa. If someone is both quiet and not patient then someone is both not wise and not funny and vice versa. Everyone who is both not humble and happy is both not strong and old. If someone is not happy or not curious then someone is both tall and humble and vi... | John is not calm. | entailment | (![X]:((happy(X)<~>humble(X))<=>creative(X)))&
((?[X]:((quiet(X)&~patient(X))))<=>(?[X]:((~wise(X)&~funny(X)))))&
(![X]:((~humble(X)&happy(X))=>(~strong(X)&old(X))))&
((?[X]:((~happy(X)|~curious(X))))<=>(?[X]:((tall(X)&humble(X)))))&
((?[X]:((~curious(X)&~wise(X))))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((~brave(X)&fun... | ~calm(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4676980650656577023232873
% SZS output start Proof for 4676980650656577023232873
17. creative(john) & ~calm(john) [input p16]
24. calm(john) [input hypothesis]
134. ~calm(john) [cnf transformation 17]
144. calm(john) [cnf transformation 24]
227. 19 <=> calm(john) [avatar definition]
269. ... | 0 |
Everyone who is not humble or not funny is not calm and vice versa.
If someone is both not creative and not brave then someone is funny.
If someone is both not quiet and not kind then someone is not old or not curious.
Everyone who is patient is rich or old.
If mary is either not funny or funny then susan is generous o... | Susan is tall. | contradiction | (![X]:((~humble(X)|~funny(X))<=>~calm(X)))&
((?[X]:((~creative(X)&~brave(X))))=>(?[X]:(funny(X))))&
((?[X]:((~quiet(X)&~kind(X))))=>(?[X]:((~old(X)|~curious(X)))))&
(![X]:(patient(X)=>(rich(X)|old(X))))&
(((~funny(mary)<~>funny(mary)))=>((generous(susan)|~quiet(susan))))&
((?[X]:((calm(X)&~happy(X))))<=>(?[X]:((~wise(X... | tall(susan) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 121668450021845631119921
% SZS output start Proof for 121668450021845631119921
10. ! [X0] : ((~brave(X0) & ~generous(X0)) <=> (tall(X0) | ~funny(X0))) [input p9]
24. strong(susan) & generous(susan) [input p23]
25. tall(susan) [input hypothesis]
58. ! [X0] : (((~brave(X0) & ~generous(X0)) ... | 0 |
Everyone who is tall is not rich.
Everyone who is quiet or old is either happy or not strong and vice versa.
Everyone who is both not patient and not creative is not rich and vice versa.
If lucy is either happy or generous then someone is patient or not curious.
Everyone who is strong or tall is old.
If lucy is either ... | Alice is not happy. | entailment | (![X]:(tall(X)=>~rich(X)))&
(![X]:((quiet(X)|old(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~patient(X)&~creative(X))<=>~rich(X)))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)|~curious(X)))))&
(![X]:((strong(X)|tall(X))=>old(X)))&
(((~funny(lucy)<~>kind(lucy)))<=>(calm(fred)))&
(![X]:((calm(X)&happy(X))=>(~old(... | ~happy(alice) | [
"p1",
"p4",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1747284445600702218745041
% SZS output start Proof for 1747284445600702218745041
2. ! [X0] : ((old(X0) | quiet(X0)) <=> (happy(X0) <~> ~strong(X0))) [input p1]
5. ! [X0] : ((tall(X0) | strong(X0)) => old(X0)) [input p4]
9. ! [X0] : (~old(X0) <=> strong(X0)) [input p8]
12. ! [X0] : ((~crea... | 0 |
Everyone who is not funny or not creative is happy or brave and vice versa.
Everyone who is not rich is either not creative or not wise and vice versa.
Everyone who is both tall and kind is both brave and not curious.
Everyone who is either not brave or not old is both not rich and kind and vice versa.
If someone is ei... | Lucy is not wise. | neutral | (![X]:((~funny(X)|~creative(X))<=>(happy(X)|brave(X))))&
(![X]:(~rich(X)<=>(~creative(X)<~>~wise(X))))&
(![X]:((tall(X)&kind(X))=>(brave(X)&~curious(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~rich(X)&kind(X))))&
((?[X]:((patient(X)<~>quiet(X))))<=>(?[X]:((~generous(X)|~humble(X)))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:... | ~wise(lucy) | [] | null | 0 |
If someone is strong then fred is either strong or not quiet. Everyone who is patient or wise is not old and vice versa. Everyone who is not brave or not kind is not creative or not curious. If someone is both funny and not patient then john is both generous and strong. If someone is creative then john is either tall o... | Alice is patient. | neutral | ((?[X]:(strong(X)))=>((strong(fred)<~>~quiet(fred))))&
(![X]:((patient(X)|wise(X))<=>~old(X)))&
(![X]:((~brave(X)|~kind(X))=>(~creative(X)|~curious(X))))&
((?[X]:((funny(X)&~patient(X))))=>((generous(john)&strong(john))))&
((?[X]:(creative(X)))=>((tall(john)<~>~humble(john))))&
((?[X]:((~old(X)&curious(X))))<=>((~wise(... | patient(alice) | [] | null | 0 |
If mary is happy then john is not humble. Everyone who is either not happy or creative is not wise. Everyone who is either not funny or not curious is wise. Everyone who is not kind is not humble or generous and vice versa. If someone is not happy then susan is both funny and rich and vice versa. Everyone who is either... | Alice is not curious. | neutral | ((happy(mary))=>(~humble(john)))&
(![X]:((~happy(X)<~>creative(X))=>~wise(X)))&
(![X]:((~funny(X)<~>~curious(X))=>wise(X)))&
(![X]:(~kind(X)<=>(~humble(X)|generous(X))))&
((?[X]:(~happy(X)))<=>((funny(susan)&rich(susan))))&
(![X]:((kind(X)<~>~happy(X))<=>(strong(X)<~>~calm(X))))&
(((~calm(alice)<~>~kind(alice)))<=>(?[X... | ~curious(alice) | [] | null | 0 |
Everyone who is either not rich or not humble is either brave or curious and vice versa.
Everyone who is both tall and not wise is either not brave or not patient.
If paul is both not funny and strong then someone is either old or patient and vice versa.
If someone is either not curious or humble then fred is both not ... | Paul is rich. | contradiction | (![X]:((~rich(X)<~>~humble(X))<=>(brave(X)<~>curious(X))))&
(![X]:((tall(X)&~wise(X))=>(~brave(X)<~>~patient(X))))&
(((~funny(paul)&strong(paul)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((~curious(X)<~>humble(X))))<=>((~curious(fred)&~strong(fred))))&
(![X]:((tall(X)|~tall(X))<=>~humble(X)))&
(((~calm(fred)|~rich(fr... | rich(paul) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8655870204857432092794348
% SZS output start Proof for 8655870204857432092794348
1. ! [X0] : ((~rich(X0) <~> ~humble(X0)) <=> (brave(X0) <~> curious(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & tall(X0)) => (~brave(X0) <~> ~patient(X0))) [input p1]
5. ! [X0] : ((~tall(X0) | tall(X0)) <=> ~h... | 0 |
If someone is creative then someone is funny and vice versa. If john is both funny and not generous then someone is curious or not curious. Everyone who is both humble and not tall is either not patient or quiet and vice versa. If someone is tall then alice is both not funny and not tall. Everyone who is either not wis... | Mary is kind. | entailment | ((?[X]:(creative(X)))<=>(?[X]:(funny(X))))&
(((funny(john)&~generous(john)))=>(?[X]:((curious(X)|~curious(X)))))&
(![X]:((humble(X)&~tall(X))<=>(~patient(X)<~>quiet(X))))&
((?[X]:(tall(X)))=>((~funny(alice)&~tall(alice))))&
(![X]:((~wise(X)<~>~old(X))<=>(curious(X)|~kind(X))))&
((?[X]:((generous(X)|tall(X))))=>(?[X]:((... | kind(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9104402127630263669597045
% SZS output start Proof for 9104402127630263669597045
12. ! [X0] : ((~kind(X0) <~> kind(X0)) => (kind(X0) & strong(X0))) [input p11]
25. ~kind(mary) [input hypothesis]
36. ! [X0] : ((kind(X0) & strong(X0)) | (~kind(X0) <=> kind(X0))) [ennf transformation 12]
65.... | 0 |
If someone is both humble and kind then someone is happy or not wise and vice versa.
Everyone who is happy is both generous and not curious and vice versa.
If someone is both humble and happy then john is happy or funny and vice versa.
If john is both not humble and not curious then paul is not quiet and vice versa.
Ev... | Susan is creative. | entailment | ((?[X]:((humble(X)&kind(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:(happy(X)<=>(generous(X)&~curious(X))))&
((?[X]:((humble(X)&happy(X))))<=>((happy(john)|funny(john))))&
(((~humble(john)&~curious(john)))<=>(~quiet(paul)))&
(![X]:((~calm(X)|old(X))<=>(creative(X)|kind(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~quiet(X)|... | creative(susan) | [
"p5",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2903920090130072815508227
% SZS output start Proof for 2903920090130072815508227
6. ! [X0] : ((strong(X0) <~> quiet(X0)) => (creative(X0) | ~quiet(X0))) [input p5]
13. ~tall(susan) <=> ~strong(susan) [input p12]
18. ~tall(susan) & quiet(susan) [input p17]
25. ~creative(susan) [input hypot... | 0 |
Everyone who is either not happy or not patient is not tall. Everyone who is not brave is not patient or kind and vice versa. Everyone who is either funny or rich is kind and vice versa. If alice is both not rich and creative then fred is patient or not wise and vice versa. Everyone who is not rich or not strong is not... | Paul is rich. | neutral | (![X]:((~happy(X)<~>~patient(X))=>~tall(X)))&
(![X]:(~brave(X)<=>(~patient(X)|kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>kind(X)))&
(((~rich(alice)&creative(alice)))<=>((patient(fred)|~wise(fred))))&
(![X]:((~rich(X)|~strong(X))<=>~tall(X)))&
((?[X]:((quiet(X)|~brave(X))))=>(brave(john)))&
(![X]:((~creative(X)&quiet(X))... | rich(paul) | [] | null | 0 |
Everyone who is both strong and not creative is both patient and not quiet and vice versa.
If someone is either not tall or happy then paul is not curious or not wise.
If someone is patient then lucy is either not humble or wise.
Everyone who is both patient and not tall is either patient or not generous and vice versa... | Fred is not curious. | entailment | (![X]:((strong(X)&~creative(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>happy(X))))=>((~curious(paul)|~wise(paul))))&
((?[X]:(patient(X)))=>((~humble(lucy)<~>wise(lucy))))&
(![X]:((patient(X)&~tall(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:(old(X)))<=>((curious(john)|calm(john))))&
(![X]:((curious(X)|~kind(X)... | ~curious(fred) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 19605562469713674765851
% SZS output start Proof for 19605562469713674765851
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~quiet(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (patient(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0)) <... | 0 |
If alice is wise or not tall then someone is both not patient and not tall.
If fred is not humble or not calm then someone is quiet.
Everyone who is both not happy and not funny is kind and vice versa.
If lucy is old or not rich then someone is either humble or not happy.
Everyone who is kind is quiet or not old and vi... | Alice is tall. | entailment | (((wise(alice)|~tall(alice)))=>(?[X]:((~patient(X)&~tall(X)))))&
(((~humble(fred)|~calm(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~happy(X)&~funny(X))<=>kind(X)))&
(((old(lucy)|~rich(lucy)))=>(?[X]:((humble(X)<~>~happy(X)))))&
(![X]:(kind(X)<=>(quiet(X)|~old(X))))&
(((~humble(paul)<~>patient(paul)))=>(?[X]:(tall(X))))&
(![X... | tall(alice) | [
"p0",
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7352802806422913111694314
% SZS output start Proof for 7352802806422913111694314
1. (~tall(alice) | wise(alice)) => ? [X0] : (~tall(X0) & ~patient(X0)) [input p0]
5. ! [X0] : (kind(X0) <=> (~old(X0) | quiet(X0))) [input p4]
12. ! [X0] : (patient(X0) <=> (kind(X0) | ~calm(X0))) [input p11]... | 0 |
Everyone who is either creative or funny is either not quiet or calm and vice versa. If susan is either old or not tall then alice is both old and curious. If fred is creative then someone is both not humble and generous. Everyone who is both humble and brave is both not creative and not quiet and vice versa. Everyone ... | Paul is brave. | contradiction | (![X]:((creative(X)<~>funny(X))<=>(~quiet(X)<~>calm(X))))&
(((old(susan)<~>~tall(susan)))=>((old(alice)&curious(alice))))&
((creative(fred))=>(?[X]:((~humble(X)&generous(X)))))&
(![X]:((humble(X)&brave(X))<=>(~creative(X)&~quiet(X))))&
(![X]:((rich(X)<~>tall(X))<=>~happy(X)))&
((?[X]:((~curious(X)&strong(X))))=>(?[X]:(... | brave(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3005433589366217534379514
% SZS output start Proof for 3005433589366217534379514
13. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (quiet(X0) & ~brave(X0))) [input p12]
25. brave(paul) [input hypothesis]
58. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(X0))) | (~quiet(X0) | brave... | 0 |
If someone is not old or happy then someone is both calm and not happy and vice versa. If someone is funny then fred is both not kind and curious. If someone is not rich or tall then susan is kind and vice versa. Everyone who is either not humble or not brave is either not rich or not calm and vice versa. Everyone who ... | Alice is not old. | contradiction | ((?[X]:((~old(X)|happy(X))))<=>(?[X]:((calm(X)&~happy(X)))))&
((?[X]:(funny(X)))=>((~kind(fred)&curious(fred))))&
((?[X]:((~rich(X)|tall(X))))<=>(kind(susan)))&
(![X]:((~humble(X)<~>~brave(X))<=>(~rich(X)<~>~calm(X))))&
(![X]:((~kind(X)<~>kind(X))=>(calm(X)|~creative(X))))&
(![X]:((quiet(X)|~kind(X))=>(funny(X)|~tall(X... | ~old(alice) | [
"p1",
"p5",
"p9",
"p10",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1174456495842856656235133
% SZS output start Proof for 1174456495842856656235133
2. ? [X0] : funny(X0) => (curious(fred) & ~kind(fred)) [input p1]
6. ! [X0] : ((~kind(X0) | quiet(X0)) => (~tall(X0) | funny(X0))) [input p5]
10. ! [X0] : (strong(X0) <=> quiet(X0)) [input p9]
11. ! [X0] : ((... | 0 |
Everyone who is either curious or not old is creative or not rich and vice versa. Everyone who is tall is patient or not humble. If someone is strong then someone is either creative or not strong and vice versa. Everyone who is either old or patient is wise. Everyone who is either not quiet or not calm is both not funn... | Lucy is creative. | contradiction | (![X]:((curious(X)<~>~old(X))<=>(creative(X)|~rich(X))))&
(![X]:(tall(X)=>(patient(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((old(X)<~>patient(X))=>wise(X)))&
(![X]:((~quiet(X)<~>~calm(X))=>(~funny(X)&~curious(X))))&
(![X]:((~humble(X)<~>funny(X))=>(~old(X)&curious(X))))&
(((s... | creative(lucy) | [
"p0",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5651295105695107238428919
% SZS output start Proof for 5651295105695107238428919
1. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (~rich(X0) | creative(X0))) [input p0]
6. ! [X0] : ((~humble(X0) <~> funny(X0)) => (curious(X0) & ~old(X0))) [input p5]
8. ! [X0] : ((~kind(X0) | kind(X0)) <=> (pat... | 0 |
If lucy is either not humble or not curious then alice is either quiet or strong and vice versa.
If fred is calm then lucy is either not curious or calm and vice versa.
Everyone who is old or tall is both tall and quiet and vice versa.
If lucy is happy then susan is both not strong and curious.
Everyone who is brave is... | Lucy is quiet. | neutral | (((~humble(lucy)<~>~curious(lucy)))<=>((quiet(alice)<~>strong(alice))))&
((calm(fred))<=>((~curious(lucy)<~>calm(lucy))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&quiet(X))))&
((happy(lucy))=>((~strong(susan)&curious(susan))))&
(![X]:(brave(X)<=>happy(X)))&
((?[X]:((quiet(X)<~>~creative(X))))=>((rich(alice)|~old(alice))))&
... | quiet(lucy) | [] | null | 0 |
Everyone who is not tall is not humble or tall and vice versa.
If someone is kind then someone is either not humble or not generous and vice versa.
Everyone who is not creative is calm and vice versa.
If susan is both generous and calm then susan is either not kind or not strong.
Everyone who is both not brave and stro... | Paul is not generous. | contradiction | (![X]:(~tall(X)<=>(~humble(X)|tall(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
(![X]:(~creative(X)<=>calm(X)))&
(((generous(susan)&calm(susan)))=>((~kind(susan)<~>~strong(susan))))&
(![X]:((~brave(X)&strong(X))<=>(~patient(X)&wise(X))))&
(![X]:(patient(X)=>~patient(X)))&
(![X]:((kind(X)&tall(X))=>... | ~generous(paul) | [
"p0",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7343678149761052707916488
% SZS output start Proof for 7343678149761052707916488
1. ! [X0] : (~tall(X0) <=> (tall(X0) | ~humble(X0))) [input p0]
6. ! [X0] : (patient(X0) => ~patient(X0)) [input p5]
15. ! [X0] : ((~generous(X0) <~> humble(X0)) => (~happy(X0) & patient(X0))) [input p14]
23.... | 0 |
Everyone who is happy or curious is either humble or not rich and vice versa.
Everyone who is patient or humble is not kind or patient and vice versa.
Everyone who is not strong or not calm is not patient and vice versa.
Everyone who is either not patient or not strong is happy or strong.
Everyone who is not generous o... | Mary is not tall. | neutral | (![X]:((happy(X)|curious(X))<=>(humble(X)<~>~rich(X))))&
(![X]:((patient(X)|humble(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)|~calm(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~strong(X))=>(happy(X)|strong(X))))&
(![X]:((~generous(X)|~old(X))<=>(~creative(X)<~>~curious(X))))&
((?[X]:((~brave(X)|patient(X))))<=>(?... | ~tall(mary) | [] | null | 0 |
Everyone who is both funny and not wise is not curious or not old. Everyone who is rich is both not wise and not strong and vice versa. If someone is either generous or not wise then someone is tall and vice versa. If susan is not patient then lucy is either not strong or not happy. Everyone who is both rich and not fu... | Susan is tall. | contradiction | (![X]:((funny(X)&~wise(X))=>(~curious(X)|~old(X))))&
(![X]:(rich(X)<=>(~wise(X)&~strong(X))))&
((?[X]:((generous(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((~patient(susan))=>((~strong(lucy)<~>~happy(lucy))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~rich(X))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((~wise(X)<~>curious(... | tall(susan) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7856080031490908823754533
% SZS output start Proof for 7856080031490908823754533
2. ! [X0] : (rich(X0) <=> (~strong(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((~funny(X0) & rich(X0)) <=> (~rich(X0) | rich(X0))) [input p4]
11. ! [X0] : ((creative(X0) | tall(X0)) => strong(X0)) [input p10]
2... | 0 |
Everyone who is strong is not generous and vice versa.
If john is not rich or not calm then someone is not strong or not wise.
Everyone who is not calm or not strong is both not wise and not happy and vice versa.
If lucy is both not creative and not generous then paul is not kind or not tall and vice versa.
If someone ... | John is wise. | neutral | (![X]:(strong(X)<=>~generous(X)))&
(((~rich(john)|~calm(john)))=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:((~calm(X)|~strong(X))<=>(~wise(X)&~happy(X))))&
(((~creative(lucy)&~generous(lucy)))<=>((~kind(paul)|~tall(paul))))&
((?[X]:(generous(X)))<=>((~brave(mary)&brave(mary))))&
(![X]:((~kind(X)&~happy(X))=>(~kind(X)<~>pa... | wise(john) | [] | null | 0 |
Everyone who is either happy or generous is either generous or not generous. Everyone who is both patient and tall is rich or tall and vice versa. Everyone who is not happy or rich is not calm and vice versa. Everyone who is humble or not generous is both rich and not old and vice versa. Everyone who is both not calm a... | John is calm. | entailment | (![X]:((happy(X)<~>generous(X))=>(generous(X)<~>~generous(X))))&
(![X]:((patient(X)&tall(X))<=>(rich(X)|tall(X))))&
(![X]:((~happy(X)|rich(X))<=>~calm(X)))&
(![X]:((humble(X)|~generous(X))<=>(rich(X)&~old(X))))&
(![X]:((~calm(X)&~humble(X))=>(~funny(X)&~patient(X))))&
((?[X]:((creative(X)|~creative(X))))<=>(?[X]:((kind... | calm(john) | [
"p1",
"p3",
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7917681379380010734798139
% SZS output start Proof for 7917681379380010734798139
2. ! [X0] : ((tall(X0) & patient(X0)) <=> (tall(X0) | rich(X0))) [input p1]
4. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~humble(X0) & ~calm(X0)) => (~patient(... | 0 |
If someone is funny or calm then someone is either humble or curious and vice versa.
If someone is both quiet and strong then paul is both not tall and not wise and vice versa.
If susan is both not rich and funny then someone is either not calm or quiet.
Everyone who is tall or rich is quiet or not tall and vice versa.... | Susan is wise. | neutral | ((?[X]:((funny(X)|calm(X))))<=>(?[X]:((humble(X)<~>curious(X)))))&
((?[X]:((quiet(X)&strong(X))))<=>((~tall(paul)&~wise(paul))))&
(((~rich(susan)&funny(susan)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:((tall(X)|rich(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~generous(X)&creative(X))=>(~old(X)|wise(X))))&
(![X]:((brave(X)&pa... | wise(susan) | [] | null | 0 |
If lucy is not generous or brave then fred is quiet and vice versa. Everyone who is both rich and not calm is not humble or not tall and vice versa. If mary is either curious or rich then lucy is both not patient and humble. Everyone who is rich is both funny and wise and vice versa. If someone is both not funny and ta... | Alice is not brave. | neutral | (((~generous(lucy)|brave(lucy)))<=>(quiet(fred)))&
(![X]:((rich(X)&~calm(X))<=>(~humble(X)|~tall(X))))&
(((curious(mary)<~>rich(mary)))=>((~patient(lucy)&humble(lucy))))&
(![X]:(rich(X)<=>(funny(X)&wise(X))))&
((?[X]:((~funny(X)&tall(X))))<=>(?[X]:(creative(X))))&
(((~creative(mary)|~curious(mary)))<=>(~funny(mary)))&
... | ~brave(alice) | [] | null | 0 |
Everyone who is rich or not happy is not quiet or strong and vice versa.
Everyone who is funny is both not humble and not tall.
Everyone who is either kind or wise is both humble and not calm.
Everyone who is either funny or strong is either rich or brave.
Everyone who is both not happy and not funny is either not rich... | Lucy is not rich. | entailment | (![X]:((rich(X)|~happy(X))<=>(~quiet(X)|strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~tall(X))))&
(![X]:((kind(X)<~>wise(X))=>(humble(X)&~calm(X))))&
(![X]:((funny(X)<~>strong(X))=>(rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~funny(X))=>(~rich(X)<~>generous(X))))&
(![X]:((~brave(X)&humble(X))=>(~happy(X)|~kind(X))))&
(![X]... | ~rich(lucy) | [
"p2",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2792790885333032682983217
% SZS output start Proof for 2792790885333032682983217
3. ! [X0] : ((kind(X0) <~> wise(X0)) => (~calm(X0) & humble(X0))) [input p2]
11. ! [X0] : ((~kind(X0) & ~humble(X0)) => (old(X0) & brave(X0))) [input p10]
13. ! [X0] : ((humble(X0) | brave(X0)) <=> (wise(X0) ... | 0 |
Everyone who is not brave is both quiet and not rich. If susan is not patient or not generous then mary is both not brave and creative. If susan is strong then someone is either old or rich and vice versa. If someone is brave or kind then mary is either patient or calm and vice versa. If someone is happy then paul is e... | Paul is happy. | contradiction | (![X]:(~brave(X)=>(quiet(X)&~rich(X))))&
(((~patient(susan)|~generous(susan)))=>((~brave(mary)&creative(mary))))&
((strong(susan))<=>(?[X]:((old(X)<~>rich(X)))))&
((?[X]:((brave(X)|kind(X))))<=>((patient(mary)<~>calm(mary))))&
((?[X]:(happy(X)))<=>((humble(paul)<~>~happy(paul))))&
(![X]:(old(X)=>(~happy(X)|generous(X))... | happy(paul) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6120563805990103204886283
% SZS output start Proof for 6120563805990103204886283
5. ? [X0] : happy(X0) <=> (humble(paul) <~> ~happy(paul)) [input p4]
14. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (patient(X0) & ~patient(X0))) [input p13]
24. happy(paul) [input hypothesis]
47. (? [X0] : happ... | 0 |
If john is not patient or not strong then paul is rich.
Everyone who is not rich is generous.
If someone is curious or quiet then fred is both not tall and not wise and vice versa.
Everyone who is not happy is not patient or brave and vice versa.
If susan is not wise or not generous then someone is not funny or not cre... | Susan is not curious. | neutral | (((~patient(john)|~strong(john)))=>(rich(paul)))&
(![X]:(~rich(X)=>generous(X)))&
((?[X]:((curious(X)|quiet(X))))<=>((~tall(fred)&~wise(fred))))&
(![X]:(~happy(X)<=>(~patient(X)|brave(X))))&
(((~wise(susan)|~generous(susan)))<=>(?[X]:((~funny(X)|~creative(X)))))&
(((~creative(lucy)|~humble(lucy)))<=>(?[X]:((rich(X)&old... | ~curious(susan) | [] | null | 0 |
Everyone who is funny or not kind is calm or strong.
If mary is both funny and creative then alice is either not old or not brave.
Everyone who is both happy and rich is either creative or not curious.
Everyone who is strong or tall is brave or not patient.
If someone is not quiet or calm then someone is not wise and v... | Paul is calm. | contradiction | (![X]:((funny(X)|~kind(X))=>(calm(X)|strong(X))))&
(((funny(mary)&creative(mary)))=>((~old(alice)<~>~brave(alice))))&
(![X]:((happy(X)&rich(X))=>(creative(X)<~>~curious(X))))&
(![X]:((strong(X)|tall(X))=>(brave(X)|~patient(X))))&
((?[X]:((~quiet(X)|calm(X))))<=>(?[X]:(~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((happy(X)... | calm(paul) | [
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7148185528057003278362322
% SZS output start Proof for 7148185528057003278362322
7. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~funny(X0) <~> wise(X0))) [input p6]
13. (~rich(paul) & ~calm(paul)) <=> ~patient(lucy) [input p12]
14. ! [X0] : (~calm(X0) <=> (~patient(X0) <~> ~wise(X0))) [input ... | 0 |
Everyone who is old or not patient is calm and vice versa.
If lucy is not tall then someone is rich or patient and vice versa.
If susan is quiet then fred is not wise or funny and vice versa.
If someone is either not rich or quiet then someone is not funny or wise and vice versa.
Everyone who is tall or strong is both ... | Lucy is calm. | neutral | (![X]:((old(X)|~patient(X))<=>calm(X)))&
((~tall(lucy))<=>(?[X]:((rich(X)|patient(X)))))&
((quiet(susan))<=>((~wise(fred)|funny(fred))))&
((?[X]:((~rich(X)<~>quiet(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((tall(X)|strong(X))<=>(~kind(X)&kind(X))))&
(![X]:((creative(X)<~>~humble(X))<=>(~curious(X)|~quiet(X))))&
(![... | calm(lucy) | [] | null | 0 |
Everyone who is both old and not brave is either wise or calm and vice versa.
If someone is either not generous or not patient then mary is either not kind or funny and vice versa.
If someone is either not funny or patient then alice is not tall and vice versa.
Everyone who is either not strong or kind is both not tall... | Paul is not generous. | entailment | (![X]:((old(X)&~brave(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~generous(X)<~>~patient(X))))<=>((~kind(mary)<~>funny(mary))))&
((?[X]:((~funny(X)<~>patient(X))))<=>(~tall(alice)))&
(![X]:((~strong(X)<~>kind(X))<=>(~tall(X)&~kind(X))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|happy(paul))))&
(![X]:(~generous(X)<=>(~creative(X)<... | ~generous(paul) | [
"p3",
"p6",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4101059940609284571318562
% SZS output start Proof for 4101059940609284571318562
4. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (~kind(X0) & ~tall(X0))) [input p3]
7. ! [X0] : ((happy(X0) | generous(X0)) <=> tall(X0)) [input p6]
15. (kind(paul) <~> ~strong(paul)) <=> ? [X0] : (patient(X0) | ... | 0 |
Everyone who is tall is both kind and strong. Everyone who is both not humble and not kind is not brave and vice versa. Everyone who is rich is either curious or brave. Everyone who is both happy and patient is not brave. Everyone who is brave or rich is not creative and vice versa. If alice is either not generous or n... | Mary is not humble. | contradiction | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~humble(X)&~kind(X))<=>~brave(X)))&
(![X]:(rich(X)=>(curious(X)<~>brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~... | ~humble(mary) | [
"p1",
"p3",
"p8",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3912992379132475618435256
% SZS output start Proof for 3912992379132475618435256
2. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> ~brave(X0)) [input p1]
4. ! [X0] : ((patient(X0) & happy(X0)) => ~brave(X0)) [input p3]
9. ? [X0] : quiet(X0) => ? [X0] : (~happy(X0) & quiet(X0)) [input p8]
10. ! [... | 0 |
Everyone who is both not happy and creative is not old or not funny and vice versa.
If someone is either curious or not calm then lucy is not calm and vice versa.
If fred is both kind and generous then fred is both not patient and not quiet.
Everyone who is both not happy and not tall is not creative or tall and vice v... | John is wise. | entailment | (![X]:((~happy(X)&creative(X))<=>(~old(X)|~funny(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(~calm(lucy)))&
(((kind(fred)&generous(fred)))=>((~patient(fred)&~quiet(fred))))&
(![X]:((~happy(X)&~tall(X))<=>(~creative(X)|tall(X))))&
(![X]:((funny(X)&quiet(X))=>wise(X)))&
(![X]:((creative(X)<~>rich(X))=>(~calm(X)|~rich(X))... | wise(john) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5296738661569332142578767
% SZS output start Proof for 5296738661569332142578767
1. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~funny(X0) | ~old(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (tall(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((quiet(X0) & funny(X0)) => wise(X... | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Lucy is not calm. | contradiction | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | ~calm(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7501163777503587061543218
% SZS output start Proof for 7501163777503587061543218
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~patient(X0)) => (~quiet(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ... | 0 |
If someone is quiet or not humble then someone is tall or not rich and vice versa.
If someone is not wise then someone is not humble.
Everyone who is not kind or not humble is not old and vice versa.
If someone is both not wise and brave then lucy is not brave or generous.
Everyone who is not kind is not wise and vice ... | Fred is generous. | entailment | ((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:((tall(X)|~rich(X)))))&
((?[X]:(~wise(X)))=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)|~humble(X))<=>~old(X)))&
((?[X]:((~wise(X)&brave(X))))=>((~brave(lucy)|generous(lucy))))&
(![X]:(~kind(X)<=>~wise(X)))&
(![X]:(humble(X)=>(~old(X)|tall(X))))&
(((brave(john)|~generous(john)))<=>((o... | generous(fred) | [
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2609505143635117507925582
% SZS output start Proof for 2609505143635117507925582
3. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : (~kind(X0) <=> ~wise(X0)) [input p4]
6. ! [X0] : (humble(X0) => (tall(X0) | ~old(X0))) [input p5]
9. ! [X0] : ((kind(X0) <~> ~kind(X... | 0 |
If someone is patient or not old then someone is both not strong and curious and vice versa.
If someone is not kind then someone is both strong and happy and vice versa.
If someone is humble or creative then fred is either rich or calm.
Everyone who is rich or not happy is wise and vice versa.
If someone is both not ri... | Fred is not generous. | contradiction | ((?[X]:((patient(X)|~old(X))))<=>(?[X]:((~strong(X)&curious(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((strong(X)&happy(X)))))&
((?[X]:((humble(X)|creative(X))))=>((rich(fred)<~>calm(fred))))&
(![X]:((rich(X)|~happy(X))<=>wise(X)))&
((?[X]:((~rich(X)&kind(X))))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:((~rich(X)|curious(... | ~generous(fred) | [
"p7",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3670517881536809407146279
% SZS output start Proof for 3670517881536809407146279
8. ! [X0] : ((~wise(X0) & brave(X0)) => patient(X0)) [input p7]
13. ! [X0] : ((humble(X0) & ~patient(X0)) <=> (wise(X0) & ~humble(X0))) [input p12]
14. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (patient(X0) | ... | 0 |
Everyone who is both not strong and not generous is not creative or funny.
Everyone who is either old or not funny is both not tall and not creative and vice versa.
If someone is either not calm or tall then someone is funny.
Everyone who is both not strong and not wise is both not funny and strong and vice versa.
If a... | Fred is rich. | contradiction | (![X]:((~strong(X)&~generous(X))=>(~creative(X)|funny(X))))&
(![X]:((old(X)<~>~funny(X))<=>(~tall(X)&~creative(X))))&
((?[X]:((~calm(X)<~>tall(X))))=>(?[X]:(funny(X))))&
(![X]:((~strong(X)&~wise(X))<=>(~funny(X)&strong(X))))&
(((~generous(alice)&~kind(alice)))<=>((old(mary)<~>~happy(mary))))&
(((~patient(mary)<~>calm(m... | rich(fred) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2738138599576011461747851
% SZS output start Proof for 2738138599576011461747851
7. ! [X0] : ((patient(X0) | ~wise(X0)) <=> wise(X0)) [input p6]
10. ! [X0] : (~wise(X0) <=> rich(X0)) [input p9]
24. rich(fred) [input hypothesis]
54. ! [X0] : (((patient(X0) | ~wise(X0)) | ~wise(X0)) & (wise... | 0 |
Everyone who is humble or brave is funny. If susan is not curious or not old then someone is either curious or not old and vice versa. If mary is both tall and not happy then fred is strong and vice versa. Everyone who is either brave or curious is both not patient and brave and vice versa. If someone is quiet or brave... | John is brave. | neutral | (![X]:((humble(X)|brave(X))=>funny(X)))&
(((~curious(susan)|~old(susan)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(((tall(mary)&~happy(mary)))<=>(strong(fred)))&
(![X]:((brave(X)<~>curious(X))<=>(~patient(X)&brave(X))))&
((?[X]:((quiet(X)|brave(X))))<=>((~funny(fred)|~strong(fred))))&
(((~kind(susan)&funny(susan)))<=>(?[X]... | brave(john) | [] | null | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is wise or humble is calm.
Everyone who is not curious or rich is not strong or not brave.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or... | Alice is rich. | neutral | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~curious(X)|rich(X))=>(~strong(X)|~brave(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)... | rich(alice) | [] | null | 0 |
Everyone who is both old and curious is not kind or not happy and vice versa.
If paul is either strong or calm then someone is both brave and generous.
If someone is both not humble and quiet then susan is kind and vice versa.
Everyone who is not calm or not kind is not brave.
Everyone who is both tall and not rich is ... | Paul is not creative. | neutral | (![X]:((old(X)&curious(X))<=>(~kind(X)|~happy(X))))&
(((strong(paul)<~>calm(paul)))=>(?[X]:((brave(X)&generous(X)))))&
((?[X]:((~humble(X)&quiet(X))))<=>(kind(susan)))&
(![X]:((~calm(X)|~kind(X))=>~brave(X)))&
(![X]:((tall(X)&~rich(X))<=>(humble(X)<~>~old(X))))&
((~humble(alice))<=>(?[X]:(~curious(X))))&
(![X]:((humble... | ~creative(paul) | [] | null | 0 |
If susan is either not kind or not strong then someone is funny. Everyone who is not tall or not curious is not curious and vice versa. Everyone who is either not rich or rich is not rich or not tall. If alice is calm or creative then someone is either not strong or wise and vice versa. Everyone who is either funny or ... | Alice is not curious. | neutral | (((~kind(susan)<~>~strong(susan)))=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|~curious(X))<=>~curious(X)))&
(![X]:((~rich(X)<~>rich(X))=>(~rich(X)|~tall(X))))&
(((calm(alice)|creative(alice)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~curious(X))<=>(~patient(X)|calm(X))))&
(![X]:((~brave(X)&~old(X))<=>(wise(X)... | ~curious(alice) | [] | null | 0 |
Everyone who is old is quiet.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not rich or patient.
Everyone who is wise or n... | Susan is curious. | entailment | (![X]:(old(X)=>quiet(X)))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X))))&
(![X]:((generous(X)|~quie... | curious(susan) | [
"p5",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2943290979230593762436022
% SZS output start Proof for 2943290979230593762436022
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
11. (generous(susan) & curious(susan)) <=> ? ... | 0 |
Everyone who is humble or not strong is either brave or not curious.
If john is both calm and not strong then alice is either quiet or tall and vice versa.
If someone is not quiet then someone is both not wise and wise and vice versa.
Everyone who is not tall is humble or not creative and vice versa.
If someone is both... | Alice is funny. | neutral | (![X]:((humble(X)|~strong(X))=>(brave(X)<~>~curious(X))))&
(((calm(john)&~strong(john)))<=>((quiet(alice)<~>tall(alice))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~wise(X)&wise(X)))))&
(![X]:(~tall(X)<=>(humble(X)|~creative(X))))&
((?[X]:((~calm(X)&~strong(X))))<=>(?[X]:((~calm(X)<~>~patient(X)))))&
(![X]:((~creative(X)&generou... | funny(alice) | [] | null | 0 |
Everyone who is both not happy and not calm is curious and vice versa.
If someone is not happy or happy then someone is happy.
Everyone who is happy or calm is not old and vice versa.
Everyone who is both curious and not patient is not kind or not generous and vice versa.
If lucy is both not rich and not old then john ... | Susan is generous. | contradiction | (![X]:((~happy(X)&~calm(X))<=>curious(X)))&
((?[X]:((~happy(X)|happy(X))))=>(?[X]:(happy(X))))&
(![X]:((happy(X)|calm(X))<=>~old(X)))&
(![X]:((curious(X)&~patient(X))<=>(~kind(X)|~generous(X))))&
(((~rich(lucy)&~old(lucy)))<=>((~quiet(john)<~>generous(john))))&
((?[X]:((~curious(X)|~brave(X))))<=>((~brave(alice)&~quiet... | generous(susan) | [
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8156364299998623044824722
% SZS output start Proof for 8156364299998623044824722
13. ! [X0] : (~rich(X0) <=> (~generous(X0) & ~calm(X0))) [input p12]
24. ~rich(susan) [input p23]
25. generous(susan) [input hypothesis]
66. ! [X0] : ((~rich(X0) | (generous(X0) | calm(X0))) & ((~generous(X0)... | 0 |
Everyone who is both happy and strong is not rich or not generous.
If paul is both happy and not strong then john is tall or not quiet and vice versa.
Everyone who is funny is both not kind and not wise and vice versa.
Everyone who is funny is kind and vice versa.
If someone is either calm or old then mary is not kind ... | John is wise. | entailment | (![X]:((happy(X)&strong(X))=>(~rich(X)|~generous(X))))&
(((happy(paul)&~strong(paul)))<=>((tall(john)|~quiet(john))))&
(![X]:(funny(X)<=>(~kind(X)&~wise(X))))&
(![X]:(funny(X)<=>kind(X)))&
((?[X]:((calm(X)<~>old(X))))=>((~kind(mary)|~happy(mary))))&
(![X]:(~tall(X)=>(~humble(X)&curious(X))))&
(![X]:(~rich(X)<=>(old(X)|... | wise(john) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 159156641436445132103593
% SZS output start Proof for 159156641436445132103593
3. ! [X0] : (funny(X0) <=> (~wise(X0) & ~kind(X0))) [input p2]
4. ! [X0] : (funny(X0) <=> kind(X0)) [input p3]
24. ~wise(john) [input hypothesis]
38. ! [X0] : ((funny(X0) | (wise(X0) | kind(X0))) & ((~wise(X0) ... | 0 |
Everyone who is either rich or brave is either quiet or not calm and vice versa.
If someone is both generous and patient then fred is either patient or strong and vice versa.
If susan is strong or tall then alice is both not wise and not tall.
Everyone who is not creative is rich and vice versa.
If paul is either calm ... | John is humble. | entailment | (![X]:((rich(X)<~>brave(X))<=>(quiet(X)<~>~calm(X))))&
((?[X]:((generous(X)&patient(X))))<=>((patient(fred)<~>strong(fred))))&
(((strong(susan)|tall(susan)))=>((~wise(alice)&~tall(alice))))&
(![X]:(~creative(X)<=>rich(X)))&
(((calm(paul)<~>rich(paul)))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:((kind(X)<~>strong(X))=... | humble(john) | [
"p0",
"p3",
"p6",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 837852978404652205434644
% SZS output start Proof for 837852978404652205434644
1. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (quiet(X0) <~> ~calm(X0))) [input p0]
4. ! [X0] : (~creative(X0) <=> rich(X0)) [input p3]
7. ! [X0] : (rich(X0) <=> (creative(X0) | strong(X0))) [input p6]
10. ! [X0] :... | 0 |
If someone is not quiet or happy then someone is not calm and vice versa.
If lucy is not humble then lucy is creative or calm and vice versa.
Everyone who is both funny and curious is either funny or not quiet and vice versa.
If john is either quiet or creative then mary is both creative and not happy and vice versa.
E... | Fred is happy. | contradiction | ((?[X]:((~quiet(X)|happy(X))))<=>(?[X]:(~calm(X))))&
((~humble(lucy))<=>((creative(lucy)|calm(lucy))))&
(![X]:((funny(X)&curious(X))<=>(funny(X)<~>~quiet(X))))&
(((quiet(john)<~>creative(john)))<=>((creative(mary)&~happy(mary))))&
(![X]:((humble(X)&tall(X))<=>(~strong(X)&~calm(X))))&
(![X]:((~curious(X)&humble(X))<=>(~... | happy(fred) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4330010367866358072616272
% SZS output start Proof for 4330010367866358072616272
15. ! [X0] : ((wise(X0) & happy(X0)) <=> (calm(X0) | ~wise(X0))) [input p14]
20. ~quiet(fred) & ~calm(fred) [input p19]
25. happy(fred) [input hypothesis]
61. ! [X0] : (((wise(X0) & happy(X0)) | (~calm(X0) & ... | 0 |
Everyone who is not quiet or not brave is both calm and not wise. Everyone who is not brave is either not kind or brave. Everyone who is both not wise and brave is both not humble and not funny. If someone is not happy then alice is funny or not curious and vice versa. Everyone who is either funny or kind is either old... | John is not kind. | entailment | (![X]:((~quiet(X)|~brave(X))=>(calm(X)&~wise(X))))&
(![X]:(~brave(X)=>(~kind(X)<~>brave(X))))&
(![X]:((~wise(X)&brave(X))=>(~humble(X)&~funny(X))))&
((?[X]:(~happy(X)))<=>((funny(alice)|~curious(alice))))&
(![X]:((funny(X)<~>kind(X))=>(old(X)<~>funny(X))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((~tall(X)&~quiet(X))... | ~kind(john) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3396416241865605301755395
% SZS output start Proof for 3396416241865605301755395
2. ! [X0] : (~brave(X0) => (~kind(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((brave(X0) & ~wise(X0)) => (~funny(X0) & ~humble(X0))) [input p2]
4. ? [X0] : ~happy(X0) <=> (~curious(alice) | funny(alice)) [inp... | 0 |
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