premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not tall and old is not humble.
If susan is rich then someone is not calm and vice versa.
Everyone who is both not patient and not humble is wise and vice versa.
Everyone who is either not tall or not humble is not wise.
If susan is either not curious or not creative then someone is old or tall.
If... | Mary is patient. | contradiction | (![X]:((~tall(X)&old(X))=>~humble(X)))&
((rich(susan))<=>(?[X]:(~calm(X))))&
(![X]:((~patient(X)&~humble(X))<=>wise(X)))&
(![X]:((~tall(X)<~>~humble(X))=>~wise(X)))&
(((~curious(susan)<~>~creative(susan)))=>(?[X]:((old(X)|tall(X)))))&
(((wise(mary)<~>~patient(mary)))<=>((old(john)<~>~old(john))))&
(![X]:((~funny(X)|~wi... | patient(mary) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 637464315647877672649613
% SZS output start Proof for 637464315647877672649613
3. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> wise(X0)) [input p2]
6. (wise(mary) <~> ~patient(mary)) <=> (old(john) <~> ~old(john)) [input p5]
25. patient(mary) [input hypothesis]
43. ! [X0] : (((~humble(X0) &... | 0 |
If paul is curious or not quiet then someone is both old and not wise. If susan is not wise then someone is not brave or calm and vice versa. If susan is funny then someone is either not quiet or quiet. Everyone who is both kind and not tall is not calm. Everyone who is not curious is both not happy and generous and vi... | Susan is not patient. | neutral | (((curious(paul)|~quiet(paul)))=>(?[X]:((old(X)&~wise(X)))))&
((~wise(susan))<=>(?[X]:((~brave(X)|calm(X)))))&
((funny(susan))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((kind(X)&~tall(X))=>~calm(X)))&
(![X]:(~curious(X)<=>(~happy(X)&generous(X))))&
(![X]:((~wise(X)|~strong(X))<=>(old(X)<~>~curious(X))))&
(![X]:((happy(... | ~patient(susan) | [] | null | 0 |
If someone is not wise then fred is not kind or strong and vice versa.
If lucy is either not wise or patient then mary is not generous.
Everyone who is not calm is both not brave and kind and vice versa.
If someone is either funny or creative then alice is either not curious or wise and vice versa.
If someone is not ki... | Lucy is rich. | neutral | ((?[X]:(~wise(X)))<=>((~kind(fred)|strong(fred))))&
(((~wise(lucy)<~>patient(lucy)))=>(~generous(mary)))&
(![X]:(~calm(X)<=>(~brave(X)&kind(X))))&
((?[X]:((funny(X)<~>creative(X))))<=>((~curious(alice)<~>wise(alice))))&
((?[X]:(~kind(X)))=>((humble(john)&~humble(john))))&
(![X]:((~funny(X)<~>quiet(X))=>~wise(X)))&
((?[... | rich(lucy) | [] | null | 0 |
If lucy is both not old and patient then susan is curious or not curious and vice versa.
If someone is funny then someone is old or funny and vice versa.
If someone is either not calm or wise then someone is either strong or kind.
Everyone who is not creative or tall is either not strong or strong and vice versa.
If so... | Fred is happy. | entailment | (((~old(lucy)&patient(lucy)))<=>((curious(susan)|~curious(susan))))&
((?[X]:(funny(X)))<=>(?[X]:((old(X)|funny(X)))))&
((?[X]:((~calm(X)<~>wise(X))))=>(?[X]:((strong(X)<~>kind(X)))))&
(![X]:((~creative(X)|tall(X))<=>(~strong(X)<~>strong(X))))&
((?[X]:((~quiet(X)&rich(X))))<=>(?[X]:(patient(X))))&
((?[X]:((quiet(X)<~>ha... | happy(fred) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4732055784951200751623421
% SZS output start Proof for 4732055784951200751623421
11. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> (~happy(X0) | humble(X0))) [input p10]
12. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (brave(X0) <~> happy(X0))) [input p11]
24. ~happy(fred) [input hypothesis]
62. ! [X... | 0 |
Everyone who is both not funny and happy is both quiet and not strong.
If mary is either not rich or patient then susan is both not wise and kind and vice versa.
If someone is rich or not happy then someone is not wise and vice versa.
Everyone who is both rich and calm is either curious or strong.
If mary is curious or... | Lucy is humble. | entailment | (![X]:((~funny(X)&happy(X))=>(quiet(X)&~strong(X))))&
(((~rich(mary)<~>patient(mary)))<=>((~wise(susan)&kind(susan))))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X... | humble(lucy) | [
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6075930421872677988963829
% SZS output start Proof for 6075930421872677988963829
9. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p8]
13. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p12]
16. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))) [input p15... | 0 |
Everyone who is not kind is both rich and strong.
Everyone who is both not calm and calm is humble or creative and vice versa.
Everyone who is both not funny and not patient is not kind or not patient.
If lucy is both not happy and not patient then someone is quiet or not old and vice versa.
Everyone who is both not ol... | Alice is not strong. | contradiction | (![X]:(~kind(X)=>(rich(X)&strong(X))))&
(![X]:((~calm(X)&calm(X))<=>(humble(X)|creative(X))))&
(![X]:((~funny(X)&~patient(X))=>(~kind(X)|~patient(X))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((~old(X)&brave(X))<=>(~funny(X)|happy(X))))&
(((creative(lucy)&~curious(lucy)))=>(?[X]:((~funny... | ~strong(alice) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8569997087438054223152455
% SZS output start Proof for 8569997087438054223152455
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (creative(X0) | humble(X0))) [input p1]
14. ~humble(lucy) <=> (strong(alice) & ~curious(alice)) [input p13]
23. ~strong(alice) [input hypothesis]
38. ! [X0] : (((calm(X... | 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 ... | Lucy is not wise. | 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... | ~wise(lucy) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2445892723423316676281821
% SZS output start Proof for 2445892723423316676281821
3. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p2]
7. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p6]
12. (generous(susan) & curious(susan)) <=> ? [X0] : curio... | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not happy or not humble.
If someone is kind then paul is both tall and not patient and vice versa.
Everyone who is either wise or not humble is either calm or generous and vice versa.
If fred is not calm or not quiet the... | Alice is happy. | entailment | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>(~happy(X)|~humble(X))))&
((?[X]:(kind(X)))<=>((tall(paul)&~patient(paul))))&
(![X]:((wise(X)<~>~humble(X))<=>(calm(X)<~>generous(X))))&
(((~calm(fred)|~quiet(fred)))<=>((~rich(john)&quiet(john))))&
(![X]:((~funny(X)|rich(X))<=>(funny(X)<~>happy(X))))&
(((~... | happy(alice) | [
"p0",
"p3",
"p5",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4240534945772501290949638
% SZS output start Proof for 4240534945772501290949638
1. ! [X0] : (~calm(X0) <=> humble(X0)) [input p0]
4. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (calm(X0) <~> generous(X0))) [input p3]
6. ! [X0] : ((rich(X0) | ~funny(X0)) <=> (funny(X0) <~> happy(X0))) [input... | 0 |
Everyone who is either not creative or curious is curious and vice versa.
Everyone who is strong is calm or kind.
If someone is not tall then someone is humble or happy and vice versa.
If someone is curious or creative then lucy is either humble or curious and vice versa.
If someone is strong or not tall then someone i... | John is humble. | neutral | (![X]:((~creative(X)<~>curious(X))<=>curious(X)))&
(![X]:(strong(X)=>(calm(X)|kind(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((humble(X)|happy(X)))))&
((?[X]:((curious(X)|creative(X))))<=>((humble(lucy)<~>curious(lucy))))&
((?[X]:((strong(X)|~tall(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~patient(X)|~kind(X))<=>(creative(X)&rich(X)... | humble(john) | [] | null | 0 |
If someone is curious or not kind then someone is rich or not happy. If mary is not strong or patient then mary is either kind or strong and vice versa. If someone is both calm and not tall then someone is not brave. Everyone who is not patient or not rich is funny. If alice is wise then paul is brave or not rich. Ever... | Alice is not old. | contradiction | ((?[X]:((curious(X)|~kind(X))))=>(?[X]:((rich(X)|~happy(X)))))&
(((~strong(mary)|patient(mary)))<=>((kind(mary)<~>strong(mary))))&
((?[X]:((calm(X)&~tall(X))))=>(?[X]:(~brave(X))))&
(![X]:((~patient(X)|~rich(X))=>funny(X)))&
((wise(alice))=>((brave(paul)|~rich(paul))))&
(![X]:(funny(X)<=>(~brave(X)<~>~old(X))))&
(![X]:... | ~old(alice) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8195376997414014046378313
% SZS output start Proof for 8195376997414014046378313
11. ? [X0] : ~humble(X0) <=> old(alice) [input p10]
22. ? [X0] : ~humble(X0) [input p21]
25. ~old(alice) [input hypothesis]
54. (? [X0] : ~humble(X0) | ~old(alice)) & (old(alice) | ! [X0] : humble(X0)) [nnf t... | 0 |
Everyone who is not generous is either not curious or not kind and vice versa. Everyone who is not brave is not quiet. Everyone who is both not curious and wise is both not old and not happy and vice versa. If someone is both not strong and quiet then someone is not calm or not happy. If susan is rich or funny then pau... | Lucy is kind. | neutral | (![X]:(~generous(X)<=>(~curious(X)<~>~kind(X))))&
(![X]:(~brave(X)=>~quiet(X)))&
(![X]:((~curious(X)&wise(X))<=>(~old(X)&~happy(X))))&
((?[X]:((~strong(X)&quiet(X))))=>(?[X]:((~calm(X)|~happy(X)))))&
(((rich(susan)|funny(susan)))<=>((old(paul)|patient(paul))))&
(![X]:((~generous(X)&~wise(X))=>~brave(X)))&
(![X]:((~quie... | kind(lucy) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is humble and vice versa.
If john is both generous and not generous then alice is either not funny or happy.
Everyone who is not generous or not brave is either not humble or curious and vice versa.
If john ... | Alice is not curious. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(humble(X))))&
(((generous(john)&~generous(john)))=>((~funny(alice)<~>happy(alice))))&
(![X]:((~generous(X)|~brave(X))<=>(~humble(X)<~>curious(X))))&
(((~kind(john)|~generous(john)))=>((~creative(paul)&happy(paul))))&
(![X]:((~humble(X)&~c... | ~curious(alice) | [
"p1",
"p3",
"p8",
"p11",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 850569239834495294459334
% SZS output start Proof for 850569239834495294459334
2. ~creative(alice) <=> ? [X0] : humble(X0) [input p1]
4. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> (~humble(X0) <~> curious(X0))) [input p3]
9. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~creative(X0)) [input p8... | 0 |
Everyone who is not creative is not rich and vice versa.
Everyone who is either not happy or wise is either happy or not humble and vice versa.
Everyone who is either happy or humble is brave and vice versa.
Everyone who is not generous is old or not strong and vice versa.
Everyone who is generous or not creative is bo... | Alice is patient. | entailment | (![X]:(~creative(X)<=>~rich(X)))&
(![X]:((~happy(X)<~>wise(X))<=>(happy(X)<~>~humble(X))))&
(![X]:((happy(X)<~>humble(X))<=>brave(X)))&
(![X]:(~generous(X)<=>(old(X)|~strong(X))))&
(![X]:((generous(X)|~creative(X))<=>(funny(X)&~creative(X))))&
((~funny(susan))<=>((~creative(john)<~>~humble(john))))&
(((~old(lucy)<~>~pa... | patient(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5790303731608513936252688
% SZS output start Proof for 5790303731608513936252688
8. ! [X0] : ((~patient(X0) <~> funny(X0)) <=> funny(X0)) [input p7]
23. ~patient(alice) [input hypothesis]
43. ! [X0] : ((((~funny(X0) | patient(X0)) & (funny(X0) | ~patient(X0))) | ~funny(X0)) & (funny(X0) |... | 0 |
If someone is not tall then someone is funny.
Everyone who is not calm is both rich and old.
Everyone who is not old is not happy.
Everyone who is strong or not curious is old.
If someone is both wise and not generous then lucy is not patient or not quiet and vice versa.
Everyone who is not calm or not humble is both n... | Paul is kind. | entailment | ((?[X]:(~tall(X)))=>(?[X]:(funny(X))))&
(![X]:(~calm(X)=>(rich(X)&old(X))))&
(![X]:(~old(X)=>~happy(X)))&
(![X]:((strong(X)|~curious(X))=>old(X)))&
((?[X]:((wise(X)&~generous(X))))<=>((~patient(lucy)|~quiet(lucy))))&
(![X]:((~calm(X)|~humble(X))=>(~kind(X)&tall(X))))&
(![X]:((humble(X)|~generous(X))=>(~rich(X)|~tall(X)... | kind(paul) | [
"p5",
"p7",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3457904887919861283871319
% SZS output start Proof for 3457904887919861283871319
6. ! [X0] : ((~humble(X0) | ~calm(X0)) => (tall(X0) & ~kind(X0))) [input p5]
8. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (~patient(X0) <~> humble(X0))) [input p7]
9. ! [X0] : ((~old(X0) & ~happy(X0)) <=> tall(X0)... | 0 |
Everyone who is both not creative and kind is either happy or not tall.
If someone is both funny and not calm then susan is both not patient and generous.
Everyone who is quiet or not strong is not strong or not kind and vice versa.
If someone is both curious and kind then someone is both not rich and generous and vice... | Lucy is quiet. | entailment | (![X]:((~creative(X)&kind(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((funny(X)&~calm(X))))=>((~patient(susan)&generous(susan))))&
(![X]:((quiet(X)|~strong(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(((~quiet(susan)&~generous(susan)))=>(?[X]:(funny(X))))&
(![X]:(brave(X)... | quiet(lucy) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7876279794893529605131401
% SZS output start Proof for 7876279794893529605131401
11. ! [X0] : (strong(X0) <=> (strong(X0) & ~strong(X0))) [input p10]
12. ! [X0] : ((funny(X0) & strong(X0)) <=> ~quiet(X0)) [input p11]
25. ~quiet(lucy) [input hypothesis]
60. ! [X0] : ((strong(X0) | (~strong... | 0 |
Everyone who is not happy is humble.
Everyone who is both patient and not funny is not kind and vice versa.
If lucy is both strong and funny then someone is either brave or humble.
Everyone who is both not rich and not tall is not brave.
If mary is both not humble and not old then susan is both curious and not strong a... | John is humble. | entailment | (![X]:(~happy(X)=>humble(X)))&
(![X]:((patient(X)&~funny(X))<=>~kind(X)))&
(((strong(lucy)&funny(lucy)))=>(?[X]:((brave(X)<~>humble(X)))))&
(![X]:((~rich(X)&~tall(X))=>~brave(X)))&
(((~humble(mary)&~old(mary)))<=>((curious(susan)&~strong(susan))))&
(((creative(lucy)<~>~brave(lucy)))<=>((brave(susan)&creative(susan))))&... | humble(john) | [
"p0",
"p6",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6840504429884777553556980
% SZS output start Proof for 6840504429884777553556980
1. ! [X0] : (~happy(X0) => humble(X0)) [input p0]
7. ! [X0] : ((~funny(X0) | funny(X0)) <=> funny(X0)) [input p6]
8. ? [X0] : quiet(X0) <=> calm(paul) [input p7]
10. ! [X0] : (~generous(X0) <=> ~patient(X0)) ... | 0 |
If someone is both not wise and not tall then paul is tall.
If susan is not rich then someone is not creative or not kind and vice versa.
If susan is brave or tall then someone is both not quiet and patient and vice versa.
Everyone who is kind is either brave or tall.
Everyone who is either patient or not strong is hap... | Mary is patient. | contradiction | ((?[X]:((~wise(X)&~tall(X))))=>(tall(paul)))&
((~rich(susan))<=>(?[X]:((~creative(X)|~kind(X)))))&
(((brave(susan)|tall(susan)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(kind(X)=>(brave(X)<~>tall(X))))&
(![X]:((patient(X)<~>~strong(X))<=>happy(X)))&
((~generous(susan))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((happ... | patient(mary) | [
"p2",
"p8",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8298518498101135171366059
% SZS output start Proof for 8298518498101135171366059
3. (tall(susan) | brave(susan)) <=> ? [X0] : (patient(X0) & ~quiet(X0)) [input p2]
9. ! [X0] : ((strong(X0) | wise(X0)) <=> (~patient(X0) & calm(X0))) [input p8]
11. ? [X0] : (rich(X0) | ~tall(X0)) => (~patie... | 0 |
Everyone who is funny is not generous.
Everyone who is wise is not happy and vice versa.
Everyone who is not quiet is not generous or wise.
Everyone who is strong is both creative and calm.
Everyone who is strong is strong or not patient.
If john is brave or not funny then someone is quiet or not quiet.
If john is not ... | Susan is not happy. | entailment | (![X]:(funny(X)=>~generous(X)))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:(~quiet(X)=>(~generous(X)|wise(X))))&
(![X]:(strong(X)=>(creative(X)&calm(X))))&
(![X]:(strong(X)=>(strong(X)|~patient(X))))&
(((brave(john)|~funny(john)))=>(?[X]:((quiet(X)|~quiet(X)))))&
((~calm(john))=>((~kind(alice)|old(alice))))&
(![X]:((tall(X)&... | ~happy(susan) | [
"p1",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7759733016895747487657628
% SZS output start Proof for 7759733016895747487657628
2. ! [X0] : (wise(X0) <=> ~happy(X0)) [input p1]
23. wise(susan) [input p22]
24. happy(susan) [input hypothesis]
40. ! [X0] : ((wise(X0) | happy(X0)) & (~happy(X0) | ~wise(X0))) [nnf transformation 2]
62. ~ha... | 0 |
Everyone who is old is kind and vice versa.
Everyone who is either not quiet or not tall is quiet or not funny.
Everyone who is funny or not rich is funny or happy and vice versa.
If john is either not kind or not happy then someone is not brave and vice versa.
Everyone who is either not old or not curious is humble.
I... | Susan is rich. | neutral | (![X]:(old(X)<=>kind(X)))&
(![X]:((~quiet(X)<~>~tall(X))=>(quiet(X)|~funny(X))))&
(![X]:((funny(X)|~rich(X))<=>(funny(X)|happy(X))))&
(((~kind(john)<~>~happy(john)))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>~curious(X))=>humble(X)))&
((funny(susan))<=>(?[X]:(old(X))))&
((curious(paul))=>(?[X]:((quiet(X)&creative(X)))))... | rich(susan) | [] | null | 0 |
Everyone who is kind or humble is not quiet.
Everyone who is not happy or not old is both not humble and generous and vice versa.
Everyone who is either not wise or wise is both funny and not creative.
If someone is kind or not funny then someone is calm and vice versa.
If someone is not curious then susan is either cu... | Alice is strong. | contradiction | (![X]:((kind(X)|humble(X))=>~quiet(X)))&
(![X]:((~happy(X)|~old(X))<=>(~humble(X)&generous(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~creative(X))))&
((?[X]:((kind(X)|~funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>((curious(susan)<~>old(susan))))&
(![X]:(strong(X)<=>(~funny(X)&~curious(X))))&
(((~happy(ma... | strong(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 13770523872140337493373
% SZS output start Proof for 13770523872140337493373
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~creative(X0) & funny(X0))) [input p2]
6. ! [X0] : (strong(X0) <=> (~curious(X0) & ~funny(X0))) [input p5]
24. strong(alice) [input hypothesis]
29. ! [X0] : ((~creative(X... | 0 |
If alice is both not humble and generous then someone is both wise and strong and vice versa.
If fred is wise then fred is either not kind or not strong and vice versa.
Everyone who is either not tall or happy is humble or not wise.
If someone is either not patient or wise then someone is quiet or not funny and vice ve... | Alice is tall. | entailment | (((~humble(alice)&generous(alice)))<=>(?[X]:((wise(X)&strong(X)))))&
((wise(fred))<=>((~kind(fred)<~>~strong(fred))))&
(![X]:((~tall(X)<~>happy(X))=>(humble(X)|~wise(X))))&
((?[X]:((~patient(X)<~>wise(X))))<=>(?[X]:((quiet(X)|~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>happy(X)))&
(![X]:((~rich(X)&~wise(X))<=>(calm(X)<... | tall(alice) | [
"p0",
"p2",
"p4",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 696878851651009928150073
% SZS output start Proof for 696878851651009928150073
1. (generous(alice) & ~humble(alice)) <=> ? [X0] : (strong(X0) & wise(X0)) [input p0]
3. ! [X0] : ((~tall(X0) <~> happy(X0)) => (~wise(X0) | humble(X0))) [input p2]
5. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> happ... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Lucy is not creative. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~creative(lucy) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4354676050130432775399942
% SZS output start Proof for 4354676050130432775399942
5. ! [X0] : ((strong(X0) & tall(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | happy(X0)) => patient(X0... | 0 |
Everyone who is generous or not curious is not kind. Everyone who is either not kind or not humble is not calm. If lucy is not creative or not humble then someone is humble. If alice is wise then someone is humble or not wise. If someone is either curious or tall then someone is not funny. If lucy is either kind or fun... | Alice is strong. | neutral | (![X]:((generous(X)|~curious(X))=>~kind(X)))&
(![X]:((~kind(X)<~>~humble(X))=>~calm(X)))&
(((~creative(lucy)|~humble(lucy)))=>(?[X]:(humble(X))))&
((wise(alice))=>(?[X]:((humble(X)|~wise(X)))))&
((?[X]:((curious(X)<~>tall(X))))=>(?[X]:(~funny(X))))&
(((kind(lucy)<~>funny(lucy)))<=>((patient(mary)&~happy(mary))))&
(![X]... | strong(alice) | [] | null | 0 |
Everyone who is quiet is happy.
If susan is wise then someone is either curious or not calm.
If susan is brave then someone is both wise and not happy.
Everyone who is curious is either funny or not old and vice versa.
If paul is both calm and funny then someone is happy or wise.
Everyone who is either curious or stron... | Alice is not brave. | neutral | (![X]:(quiet(X)=>happy(X)))&
((wise(susan))=>(?[X]:((curious(X)<~>~calm(X)))))&
((brave(susan))=>(?[X]:((wise(X)&~happy(X)))))&
(![X]:(curious(X)<=>(funny(X)<~>~old(X))))&
(((calm(paul)&funny(paul)))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((curious(X)<~>strong(X))=>(strong(X)&~funny(X))))&
(((~brave(alice)&~patient(alice... | ~brave(alice) | [] | null | 0 |
If someone is both not curious and quiet then john is both not curious and happy. If someone is not humble or humble then lucy is calm. Everyone who is not wise or not patient is old. If someone is both not creative and brave then alice is both not old and not strong and vice versa. If lucy is either strong or not funn... | Alice is curious. | neutral | ((?[X]:((~curious(X)&quiet(X))))=>((~curious(john)&happy(john))))&
((?[X]:((~humble(X)|humble(X))))=>(calm(lucy)))&
(![X]:((~wise(X)|~patient(X))=>old(X)))&
((?[X]:((~creative(X)&brave(X))))<=>((~old(alice)&~strong(alice))))&
(((strong(lucy)<~>~funny(lucy)))<=>((kind(fred)|patient(fred))))&
(((tall(alice)&~calm(alice))... | curious(alice) | [] | null | 0 |
If fred is either not patient or not creative then mary is happy.
If mary is either not strong or kind then someone is both calm and not generous.
Everyone who is either not brave or creative is strong or patient.
Everyone who is not strong is not funny and vice versa.
If someone is wise then fred is either not calm or... | Fred is not kind. | entailment | (((~patient(fred)<~>~creative(fred)))=>(happy(mary)))&
(((~strong(mary)<~>kind(mary)))=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:((~brave(X)<~>creative(X))=>(strong(X)|patient(X))))&
(![X]:(~strong(X)<=>~funny(X)))&
((?[X]:(wise(X)))<=>((~calm(fred)<~>creative(fred))))&
((~wise(paul))=>((rich(lucy)&~happy(lucy))))&
(((g... | ~kind(fred) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2609851620877375174414551
% SZS output start Proof for 2609851620877375174414551
4. ! [X0] : (~strong(X0) <=> ~funny(X0)) [input p3]
12. ? [X0] : (~humble(X0) | ~creative(X0)) => (~funny(susan) <~> ~strong(susan)) [input p11]
16. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (creative(X0) & humb... | 0 |
If fred is both funny and tall then susan is not kind and vice versa.
If someone is both wise and quiet then someone is not old or rich.
Everyone who is not generous or quiet is both calm and not patient and vice versa.
Everyone who is both calm and not calm is not old.
Everyone who is both happy and not kind is both h... | Paul is not brave. | entailment | (((funny(fred)&tall(fred)))<=>(~kind(susan)))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((~old(X)|rich(X)))))&
(![X]:((~generous(X)|quiet(X))<=>(calm(X)&~patient(X))))&
(![X]:((calm(X)&~calm(X))=>~old(X)))&
(![X]:((happy(X)&~kind(X))=>(humble(X)&~calm(X))))&
(![X]:(quiet(X)=>(~humble(X)|humble(X))))&
((?[X]:((~generous(X)|~... | ~brave(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 27678387481681760623991
% SZS output start Proof for 27678387481681760623991
21. ~brave(paul) & happy(paul) [input p20]
25. brave(paul) [input hypothesis]
133. ~brave(paul) [cnf transformation 21]
137. brave(paul) [cnf transformation 25]
320. $false [subsumption resolution 137,133]
% SZS ... | 0 |
If mary is not curious then someone is both strong and not curious and vice versa.
Everyone who is both rich and not patient is tall and vice versa.
If someone is brave then susan is kind.
Everyone who is not curious is both quiet and kind and vice versa.
Everyone who is not creative or not curious is not patient and v... | Alice is not rich. | contradiction | ((~curious(mary))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((rich(X)&~patient(X))<=>tall(X)))&
((?[X]:(brave(X)))=>(kind(susan)))&
(![X]:(~curious(X)<=>(quiet(X)&kind(X))))&
(![X]:((~creative(X)|~curious(X))<=>~patient(X)))&
((?[X]:(~old(X)))<=>((creative(paul)|calm(paul))))&
(![X]:((~funny(X)<~>rich(X))<=>(wise(X)&~... | ~rich(alice) | [
"p1",
"p4",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4578252317673201193848490
% SZS output start Proof for 4578252317673201193848490
2. ! [X0] : ((~patient(X0) & rich(X0)) <=> tall(X0)) [input p1]
5. ! [X0] : ((~curious(X0) | ~creative(X0)) <=> ~patient(X0)) [input p4]
15. ! [X0] : (patient(X0) <=> (~old(X0) & ~creative(X0))) [input p14]
1... | 0 |
If someone is quiet then alice is either happy or brave and vice versa. Everyone who is both generous and strong is both not calm and not happy. Everyone who is not rich or wise is either old or not patient. Everyone who is both not calm and not tall is old and vice versa. If someone is not generous then paul is either... | Fred is not quiet. | neutral | ((?[X]:(quiet(X)))<=>((happy(alice)<~>brave(alice))))&
(![X]:((generous(X)&strong(X))=>(~calm(X)&~happy(X))))&
(![X]:((~rich(X)|wise(X))=>(old(X)<~>~patient(X))))&
(![X]:((~calm(X)&~tall(X))<=>old(X)))&
((?[X]:(~generous(X)))=>((creative(paul)<~>~strong(paul))))&
(((strong(john)<~>brave(john)))<=>(~quiet(fred)))&
(![X]... | ~quiet(fred) | [] | null | 0 |
Everyone who is both rich and not happy is not creative or not brave and vice versa. Everyone who is tall is either wise or not creative and vice versa. If susan is both calm and patient then lucy is not happy and vice versa. If alice is both strong and not funny then someone is wise. If someone is funny or brave then ... | Alice is not creative. | contradiction | (![X]:((rich(X)&~happy(X))<=>(~creative(X)|~brave(X))))&
(![X]:(tall(X)<=>(wise(X)<~>~creative(X))))&
(((calm(susan)&patient(susan)))<=>(~happy(lucy)))&
(((strong(alice)&~funny(alice)))=>(?[X]:(wise(X))))&
((?[X]:((funny(X)|brave(X))))<=>((funny(lucy)|strong(lucy))))&
(![X]:(happy(X)<=>~strong(X)))&
(((happy(fred)&pati... | ~creative(alice) | [
"p0",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 434059952607529051514401
% SZS output start Proof for 434059952607529051514401
1. ! [X0] : ((~happy(X0) & rich(X0)) <=> (~brave(X0) | ~creative(X0))) [input p0]
9. ! [X0] : ((funny(X0) <~> rich(X0)) => (~creative(X0) <~> ~funny(X0))) [input p8]
11. ! [X0] : (~funny(X0) <=> (tall(X0) | ~cr... | 0 |
Everyone who is both creative and quiet is happy or not generous.
Everyone who is both calm and not happy is both not quiet and not brave.
If someone is both kind and not generous then lucy is both not generous and not rich and vice versa.
If someone is both not creative and not quiet then someone is either not brave o... | Mary is not brave. | neutral | (![X]:((creative(X)&quiet(X))=>(happy(X)|~generous(X))))&
(![X]:((calm(X)&~happy(X))=>(~quiet(X)&~brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>((~generous(lucy)&~rich(lucy))))&
((?[X]:((~creative(X)&~quiet(X))))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:(~humble(X)))<=>((wise(lucy)&generous(lucy))))&
((?[X]:((hum... | ~brave(mary) | [] | null | 0 |
Everyone who is strong is either happy or not humble and vice versa.
If lucy is not tall then someone is both not curious and kind and vice versa.
Everyone who is both wise and not funny is curious or happy and vice versa.
Everyone who is either kind or not generous is patient or not generous.
Everyone who is not curio... | Paul is brave. | contradiction | (![X]:(strong(X)<=>(happy(X)<~>~humble(X))))&
((~tall(lucy))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((wise(X)&~funny(X))<=>(curious(X)|happy(X))))&
(![X]:((kind(X)<~>~generous(X))=>(patient(X)|~generous(X))))&
(![X]:((~curious(X)|kind(X))<=>~creative(X)))&
(![X]:(~funny(X)=>(strong(X)<~>~old(X))))&
(((~creative(fred)... | brave(paul) | [
"p2",
"p4",
"p11",
"p12",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6013039355934181968711844
% SZS output start Proof for 6013039355934181968711844
3. ! [X0] : ((~funny(X0) & wise(X0)) <=> (happy(X0) | curious(X0))) [input p2]
5. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~creative(X0)) [input p4]
12. ! [X0] : ((kind(X0) | wise(X0)) => (happy(X0) & wise(X0)... | 0 |
If susan is kind or quiet then fred is either generous or calm and vice versa.
Everyone who is both not old and not creative is both creative and not wise and vice versa.
Everyone who is old or not calm is brave or generous and vice versa.
Everyone who is not brave is brave or tall and vice versa.
If someone is old or ... | Susan is old. | neutral | (((kind(susan)|quiet(susan)))<=>((generous(fred)<~>calm(fred))))&
(![X]:((~old(X)&~creative(X))<=>(creative(X)&~wise(X))))&
(![X]:((old(X)|~calm(X))<=>(brave(X)|generous(X))))&
(![X]:(~brave(X)<=>(brave(X)|tall(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>kind(X))<=>rich(X)))&
(![X]:((kin... | old(susan) | [] | null | 0 |
Everyone who is not creative or funny is not funny and vice versa.
Everyone who is calm or not old is patient or not rich.
Everyone who is either not rich or funny is quiet or old and vice versa.
If mary is not rich then someone is not wise or not kind and vice versa.
If someone is not strong or humble then john is wis... | Mary is not kind. | neutral | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
(![X]:((calm(X)|~old(X))=>(patient(X)|~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=>(quiet(X)|old(X))))&
((~rich(mary))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:((~strong(X)|humble(X))))=>(wise(john)))&
(((rich(alice)|generous(alice)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![... | ~kind(mary) | [] | null | 0 |
If someone is both not strong and calm then fred is not creative and vice versa.
Everyone who is quiet is either curious or strong and vice versa.
Everyone who is both not rich and brave is either tall or not funny and vice versa.
Everyone who is strong is either not strong or happy.
Everyone who is tall is both rich a... | Fred is not happy. | neutral | ((?[X]:((~strong(X)&calm(X))))<=>(~creative(fred)))&
(![X]:(quiet(X)<=>(curious(X)<~>strong(X))))&
(![X]:((~rich(X)&brave(X))<=>(tall(X)<~>~funny(X))))&
(![X]:(strong(X)=>(~strong(X)<~>happy(X))))&
(![X]:(tall(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(humble(X)&~calm(X))))&
(![X]:((~tall(X)&~br... | ~happy(fred) | [] | null | 0 |
If someone is not rich or curious then alice is either brave or funny and vice versa.
Everyone who is not humble is both humble and not patient and vice versa.
If lucy is either not rich or not generous then fred is either not kind or patient.
If lucy is either not rich or generous then lucy is not generous or brave.
E... | Fred is not wise. | neutral | ((?[X]:((~rich(X)|curious(X))))<=>((brave(alice)<~>funny(alice))))&
(![X]:(~humble(X)<=>(humble(X)&~patient(X))))&
(((~rich(lucy)<~>~generous(lucy)))=>((~kind(fred)<~>patient(fred))))&
(((~rich(lucy)<~>generous(lucy)))=>((~generous(lucy)|brave(lucy))))&
(![X]:(~curious(X)=>(old(X)<~>~tall(X))))&
((?[X]:(~humble(X)))=>(... | ~wise(fred) | [] | null | 0 |
Everyone who is kind or tall is not generous or humble and vice versa.
Everyone who is either creative or curious is old or not tall and vice versa.
Everyone who is either brave or curious is humble and vice versa.
If someone is both kind and not wise then someone is both funny and not funny and vice versa.
Everyone wh... | Fred is not kind. | neutral | (![X]:((kind(X)|tall(X))<=>(~generous(X)|humble(X))))&
(![X]:((creative(X)<~>curious(X))<=>(old(X)|~tall(X))))&
(![X]:((brave(X)<~>curious(X))<=>humble(X)))&
((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((rich(X)<~>~humble(X))=>~curious(X)))&
((~humble(fred))<=>(~generous(john)))&
(((funny(john)... | ~kind(fred) | [] | null | 0 |
If alice is not creative then paul is brave or rich and vice versa.
Everyone who is either patient or old is either kind or quiet and vice versa.
Everyone who is either not happy or rich is generous and vice versa.
Everyone who is not old or funny is not brave or patient and vice versa.
If lucy is either not brave or c... | John is not humble. | contradiction | ((~creative(alice))<=>((brave(paul)|rich(paul))))&
(![X]:((patient(X)<~>old(X))<=>(kind(X)<~>quiet(X))))&
(![X]:((~happy(X)<~>rich(X))<=>generous(X)))&
(![X]:((~old(X)|funny(X))<=>(~brave(X)|patient(X))))&
(((~brave(lucy)<~>curious(lucy)))=>(?[X]:(rich(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~kind(X)|~funny(X)))))&
((~brave... | ~humble(john) | [
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4048672191018759867971191
% SZS output start Proof for 4048672191018759867971191
13. ! [X0] : ((~curious(X0) | ~rich(X0)) => (happy(X0) <~> humble(X0))) [input p12]
15. ! [X0] : ((calm(X0) | rich(X0)) => (~rich(X0) <~> happy(X0))) [input p14]
18. ~strong(john) & ~happy(john) [input p17]
2... | 0 |
Everyone who is not strong or not patient is both strong and calm. If fred is either tall or happy then someone is either not strong or not calm and vice versa. Everyone who is humble or not wise is both not generous and funny. If paul is not quiet or not kind then someone is either tall or wise and vice versa. Everyon... | Susan is not calm. | neutral | (![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)<~>~generous(X))=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)... | ~calm(susan) | [] | null | 0 |
If someone is both not quiet and not calm then someone is humble and vice versa.
If someone is patient or not old then someone is rich.
If someone is not kind then someone is both not happy and not old.
Everyone who is patient or not quiet is both humble and wise.
Everyone who is not rich or not generous is either not ... | Lucy is not curious. | entailment | ((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:(humble(X))))&
((?[X]:((patient(X)|~old(X))))=>(?[X]:(rich(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:((patient(X)|~quiet(X))=>(humble(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~funny(X)<~>happy(X))))&
(![X]:((~creative(X)|funny(X))<=>(happy(X)&~patient(... | ~curious(lucy) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7161527873461683634629424
% SZS output start Proof for 7161527873461683634629424
10. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [input p9]
11. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~curious(X0) & ~funny(X0))) [input p10]
21. curious(lucy) [input hypothesis]
58. ! [X0] :... | 0 |
If someone is strong or tall then alice is not strong.
Everyone who is either funny or humble is not creative.
Everyone who is curious is humble or not old.
If paul is both generous and not generous then alice is not humble.
Everyone who is both old and curious is old or not old and vice versa.
If someone is curious or... | Alice is not curious. | contradiction | ((?[X]:((strong(X)|tall(X))))=>(~strong(alice)))&
(![X]:((funny(X)<~>humble(X))=>~creative(X)))&
(![X]:(curious(X)=>(humble(X)|~old(X))))&
(((generous(paul)&~generous(paul)))=>(~humble(alice)))&
(![X]:((old(X)&curious(X))<=>(old(X)|~old(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)|k... | ~curious(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5427537674536047755677019
% SZS output start Proof for 5427537674536047755677019
5. ! [X0] : ((curious(X0) & old(X0)) <=> (~old(X0) | old(X0))) [input p4]
23. ~curious(alice) [input hypothesis]
44. ! [X0] : (((curious(X0) & old(X0)) | (old(X0) & ~old(X0))) & ((~old(X0) | old(X0)) | (~curi... | 0 |
Everyone who is either not brave or brave is not strong or not kind. Everyone who is both funny and not wise is either curious or not calm. Everyone who is not tall is not kind or not strong and vice versa. Everyone who is not wise is both not curious and not rich and vice versa. Everyone who is not strong or wise is b... | Paul is not funny. | entailment | (![X]:((~brave(X)<~>brave(X))=>(~strong(X)|~kind(X))))&
(![X]:((funny(X)&~wise(X))=>(curious(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~strong(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~strong(X)|wise(X))<=>(~generous(X)&tall(X))))&
(((~curious(mary)|~funny(mary)))<=>(?[X]:((generous(X)<~>~funny(X)... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5388100329072774481637663
% SZS output start Proof for 5388100329072774481637663
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~kind(X0) | ~strong(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & funny(X0)) => (curious(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : (~tall(X0) <=> (~strong(X0) | ~kind... | 0 |
If susan is both happy and not creative then john is either curious or not kind.
If someone is creative then someone is strong or not funny.
If someone is old then someone is either humble or tall.
If fred is not rich or not quiet then someone is either not rich or not creative.
If paul is not old or not kind then some... | Mary is not strong. | contradiction | (((happy(susan)&~creative(susan)))=>((curious(john)<~>~kind(john))))&
((?[X]:(creative(X)))=>(?[X]:((strong(X)|~funny(X)))))&
((?[X]:(old(X)))=>(?[X]:((humble(X)<~>tall(X)))))&
(((~rich(fred)|~quiet(fred)))=>(?[X]:((~rich(X)<~>~creative(X)))))&
(((~old(paul)|~kind(paul)))=>(?[X]:(~tall(X))))&
((?[X]:(~brave(X)))<=>((~p... | ~strong(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8435886716741284590328034
% SZS output start Proof for 8435886716741284590328034
21. ~brave(mary) & strong(mary) [input p20]
25. ~strong(mary) [input hypothesis]
126. strong(mary) [cnf transformation 21]
133. ~strong(mary) [cnf transformation 25]
261. 29 <=> strong(mary) [avatar definitio... | 0 |
Everyone who is not rich is both old and brave.
If someone is not happy or not old then someone is not happy or not brave and vice versa.
Everyone who is calm is both kind and happy and vice versa.
If mary is either happy or old then alice is not old or generous and vice versa.
Everyone who is not happy or old is not b... | John is not creative. | neutral | (![X]:(~rich(X)=>(old(X)&brave(X))))&
((?[X]:((~happy(X)|~old(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(calm(X)<=>(kind(X)&happy(X))))&
(((happy(mary)<~>old(mary)))<=>((~old(alice)|generous(alice))))&
(![X]:((~happy(X)|old(X))=>(~brave(X)|~old(X))))&
(![X]:((~happy(X)&tall(X))=>creative(X)))&
(((~tall(mary)|~stro... | ~creative(john) | [] | null | 0 |
If someone is both curious and not generous then someone is either not wise or patient and vice versa.
Everyone who is not strong or not generous is not funny.
If someone is either kind or patient then someone is calm or not patient and vice versa.
If someone is not patient or not funny then someone is both generous an... | John is happy. | entailment | ((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~strong(X)|~generous(X))=>~funny(X)))&
((?[X]:((kind(X)<~>patient(X))))<=>(?[X]:((calm(X)|~patient(X)))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((generous(X)&~calm(X)))))&
(![X]:((~generous(X)<~>quiet(X))<=>(wise(X)&~generous(X))))&
(... | happy(john) | [
"p0",
"p1",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1629890278947355928299384
% SZS output start Proof for 1629890278947355928299384
1. ? [X0] : (~generous(X0) & curious(X0)) <=> ? [X0] : (~wise(X0) <~> patient(X0)) [input p0]
2. ! [X0] : ((~generous(X0) | ~strong(X0)) => ~funny(X0)) [input p1]
10. ! [X0] : ((kind(X0) | wise(X0)) => (~pati... | 0 |
Everyone who is both happy and brave is either brave or not calm.
Everyone who is both not strong and generous is both not generous and not patient.
Everyone who is tall or happy is either calm or not old and vice versa.
Everyone who is both quiet and strong is not tall or not creative and vice versa.
Everyone who is e... | Paul is not calm. | contradiction | (![X]:((happy(X)&brave(X))=>(brave(X)<~>~calm(X))))&
(![X]:((~strong(X)&generous(X))=>(~generous(X)&~patient(X))))&
(![X]:((tall(X)|happy(X))<=>(calm(X)<~>~old(X))))&
(![X]:((quiet(X)&strong(X))<=>(~tall(X)|~creative(X))))&
(![X]:((~kind(X)<~>~curious(X))<=>(tall(X)&~kind(X))))&
((?[X]:(~calm(X)))=>(?[X]:((generous(X)|... | ~calm(paul) | [
"p4",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5434368072945010635566720
% SZS output start Proof for 5434368072945010635566720
5. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> (~kind(X0) & tall(X0))) [input p4]
8. ! [X0] : ((curious(X0) | ~tall(X0)) => rich(X0)) [input p7]
21. ~rich(paul) <~> calm(paul) [input p20]
23. ~calm(paul) [inpu... | 0 |
If mary is either funny or wise then someone is both humble and strong and vice versa. Everyone who is both kind and rich is both not rich and not old and vice versa. Everyone who is quiet or not tall is both old and not quiet. Everyone who is not kind or not generous is quiet. If susan is both generous and calm then j... | Paul is not calm. | entailment | (((funny(mary)<~>wise(mary)))<=>(?[X]:((humble(X)&strong(X)))))&
(![X]:((kind(X)&rich(X))<=>(~rich(X)&~old(X))))&
(![X]:((quiet(X)|~tall(X))=>(old(X)&~quiet(X))))&
(![X]:((~kind(X)|~generous(X))=>quiet(X)))&
(((generous(susan)&calm(susan)))=>(happy(john)))&
(![X]:((brave(X)&old(X))<=>kind(X)))&
(![X]:((calm(X)|wise(X))... | ~calm(paul) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 689762423287181836039574
% SZS output start Proof for 689762423287181836039574
3. ! [X0] : ((~tall(X0) | quiet(X0)) => (~quiet(X0) & old(X0))) [input p2]
10. ! [X0] : ((~patient(X0) & ~creative(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p9]
12. ! [X0] : (~patient(X0) => (calm(X0) <~>... | 0 |
If john is both curious and not brave then paul is both not strong and tall and vice versa. If someone is either calm or not kind then someone is both not strong and kind. Everyone who is not calm is both not kind and creative. Everyone who is not rich or not brave is either kind or happy. Everyone who is calm or patie... | Paul is quiet. | neutral | (((curious(john)&~brave(john)))<=>((~strong(paul)&tall(paul))))&
((?[X]:((calm(X)<~>~kind(X))))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:(~calm(X)=>(~kind(X)&creative(X))))&
(![X]:((~rich(X)|~brave(X))=>(kind(X)<~>happy(X))))&
(![X]:((calm(X)|patient(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>q... | quiet(paul) | [] | null | 0 |
Everyone who is either generous or not kind is kind.
If someone is calm or happy then fred is both funny and old and vice versa.
Everyone who is strong or rich is old or quiet.
If mary is both not tall and rich then john is either not calm or patient.
Everyone who is not brave or not happy is both patient and wise and ... | Mary is creative. | contradiction | (![X]:((generous(X)<~>~kind(X))=>kind(X)))&
((?[X]:((calm(X)|happy(X))))<=>((funny(fred)&old(fred))))&
(![X]:((strong(X)|rich(X))=>(old(X)|quiet(X))))&
(((~tall(mary)&rich(mary)))=>((~calm(john)<~>patient(john))))&
(![X]:((~brave(X)|~happy(X))<=>(patient(X)&wise(X))))&
(![X]:(~brave(X)=>funny(X)))&
(![X]:((~wise(X)|ric... | creative(mary) | [
"p4",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8463848055045906781234659
% SZS output start Proof for 8463848055045906781234659
5. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (wise(X0) & patient(X0))) [input p4]
15. ! [X0] : (~creative(X0) <=> (rich(X0) | happy(X0))) [input p14]
20. ~rich(mary) & ~wise(mary) [input p19]
25. creative(mary)... | 0 |
If fred is rich then someone is both kind and not humble.
If someone is generous or strong then alice is not quiet and vice versa.
Everyone who is either not strong or not rich is either happy or not funny and vice versa.
If someone is both wise and happy then susan is both not curious and not brave.
Everyone who is ei... | Susan is brave. | entailment | ((rich(fred))=>(?[X]:((kind(X)&~humble(X)))))&
((?[X]:((generous(X)|strong(X))))<=>(~quiet(alice)))&
(![X]:((~strong(X)<~>~rich(X))<=>(happy(X)<~>~funny(X))))&
((?[X]:((wise(X)&happy(X))))=>((~curious(susan)&~brave(susan))))&
(![X]:((happy(X)<~>kind(X))<=>~tall(X)))&
((brave(fred))=>((~generous(alice)|~brave(alice))))&... | brave(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1735883579607321075521427
% SZS output start Proof for 1735883579607321075521427
7. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p6]
24. ~brave(susan) [input hypothesis]
47. ! [X0] : ((~strong(X0) | ((strong(X0) | ~brave(X0)) & (brave(X0) | ~strong(X0)))) & (((~brave(X0) |... | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is either happy or not creative. Everyone who is both old and not happy is generous or not rich and vice versa. If someone is not patient then someone is both wise and creative and vice versa. If john is not funny then someone ... | Susan is not calm. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((wise(X)&creative(X)))))&
((~funny(john))<=>(?[X]:((kind(X)|happy(X)))))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~funny(X)|happy(X)))))&
((~b... | ~calm(susan) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4986990382420939557706861
% SZS output start Proof for 4986990382420939557706861
14. ! [X0] : (curious(X0) <=> (calm(X0) & tall(X0))) [input p13]
15. ! [X0] : ((~calm(X0) | patient(X0)) <=> curious(X0)) [input p14]
24. ~calm(susan) [input hypothesis]
63. ! [X0] : ((curious(X0) | (~calm(X0... | 0 |
Everyone who is calm is strong or not brave and vice versa. Everyone who is not brave or happy is not kind or not curious and vice versa. Everyone who is not generous or rich is both not strong and not calm. If someone is both wise and not old then fred is curious or not brave and vice versa. Everyone who is both happy... | Susan is calm. | contradiction | (![X]:(calm(X)<=>(strong(X)|~brave(X))))&
(![X]:((~brave(X)|happy(X))<=>(~kind(X)|~curious(X))))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)&~calm(X))))&
((?[X]:((wise(X)&~old(X))))<=>((curious(fred)|~brave(fred))))&
(![X]:((happy(X)&~old(X))=>(patient(X)|~old(X))))&
(((wise(alice)&funny(alice)))=>(?[X]:((creative(X)|r... | calm(susan) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 541292386141454203077708
% SZS output start Proof for 541292386141454203077708
3. ! [X0] : ((rich(X0) | ~generous(X0)) => (~calm(X0) & ~strong(X0))) [input p2]
11. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p10]
22. calm(susan) [input hypothesis]
24. ! [X0] ... | 0 |
If fred is not rich or not humble then mary is humble.
Everyone who is not patient is rich and vice versa.
Everyone who is both old and not old is both creative and funny.
If someone is either not curious or not creative then someone is not funny.
Everyone who is both quiet and not strong is patient.
Everyone who is bo... | Susan is humble. | neutral | (((~rich(fred)|~humble(fred)))=>(humble(mary)))&
(![X]:(~patient(X)<=>rich(X)))&
(![X]:((old(X)&~old(X))=>(creative(X)&funny(X))))&
((?[X]:((~curious(X)<~>~creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((quiet(X)&~strong(X))=>patient(X)))&
(![X]:((~creative(X)&creative(X))=>(funny(X)|happy(X))))&
((?[X]:((~brave(X)|~old(X... | humble(susan) | [] | null | 0 |
Everyone who is both happy and brave is both not generous and funny and vice versa. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble. If susan is generous then susan is happy and vice versa. If someone is both ... | Lucy is strong. | neutral | (![X]:((happy(X)&brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((curious(X)|wise(X))=>~curious... | strong(lucy) | [] | null | 0 |
Everyone who is not tall is either not curious or not funny and vice versa.
If lucy is either not old or strong then someone is either not patient or tall and vice versa.
Everyone who is either not curious or creative is both not happy and patient and vice versa.
Everyone who is both happy and not rich is both kind and... | Alice is not rich. | neutral | (![X]:(~tall(X)<=>(~curious(X)<~>~funny(X))))&
(((~old(lucy)<~>strong(lucy)))<=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((~curious(X)<~>creative(X))<=>(~happy(X)&patient(X))))&
(![X]:((happy(X)&~rich(X))=>(kind(X)&happy(X))))&
(((rich(susan)&curious(susan)))=>((curious(mary)|~brave(mary))))&
(![X]:((brave(X)&~patient(... | ~rich(alice) | [] | null | 0 |
If alice is both humble and not funny then someone is either not humble or not kind and vice versa.
Everyone who is not old or patient is both patient and not patient and vice versa.
If lucy is either quiet or curious then paul is either not old or brave.
If fred is both wise and not curious then fred is not old.
If so... | Lucy is old. | entailment | (((humble(alice)&~funny(alice)))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(![X]:((~old(X)|patient(X))<=>(patient(X)&~patient(X))))&
(((quiet(lucy)<~>curious(lucy)))=>((~old(paul)<~>brave(paul))))&
(((wise(fred)&~curious(fred)))=>(~old(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((strong(paul)&old(paul))))&
((wise(fred))... | old(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 373829612294639995122783
% SZS output start Proof for 373829612294639995122783
2. ! [X0] : ((patient(X0) | ~old(X0)) <=> (~patient(X0) & patient(X0))) [input p1]
24. ~old(lucy) [input hypothesis]
42. ! [X0] : (((patient(X0) | ~old(X0)) | (patient(X0) | ~patient(X0))) & ((~patient(X0) & pa... | 0 |
Everyone who is not kind is both not curious and patient and vice versa.
Everyone who is either patient or not brave is both not creative and not brave and vice versa.
If someone is not curious or not rich then alice is not creative or not brave.
If someone is both not old and not wise then alice is generous and vice v... | Fred is humble. | entailment | (![X]:(~kind(X)<=>(~curious(X)&patient(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(~creative(X)&~brave(X))))&
((?[X]:((~curious(X)|~rich(X))))=>((~creative(alice)|~brave(alice))))&
((?[X]:((~old(X)&~wise(X))))<=>(generous(alice)))&
((~tall(fred))=>((~strong(fred)|~creative(fred))))&
((humble(fred))<=>(~old(john)))&
((?[X... | humble(fred) | [
"p0",
"p1",
"p5",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 450312555476429280574175
% SZS output start Proof for 450312555476429280574175
1. ! [X0] : (~kind(X0) <=> (patient(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=> (~brave(X0) & ~creative(X0))) [input p1]
6. humble(fred) <=> ~old(john) [input p5]
9. ! [X0] : (... | 0 |
Everyone who is kind is either not calm or creative.
If fred is creative or not old then mary is curious or not creative.
If fred is either funny or not kind then someone is both wise and not kind and vice versa.
Everyone who is either creative or tall is brave and vice versa.
Everyone who is strong is not humble or ol... | Mary is not brave. | entailment | (![X]:(kind(X)=>(~calm(X)<~>creative(X))))&
(((creative(fred)|~old(fred)))=>((curious(mary)|~creative(mary))))&
(((funny(fred)<~>~kind(fred)))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((creative(X)<~>tall(X))<=>brave(X)))&
(![X]:(strong(X)=>(~humble(X)|old(X))))&
(![X]:((~humble(X)<~>kind(X))<=>curious(X)))&
(![X]:((~happ... | ~brave(mary) | [
"p1",
"p3",
"p8",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 913561853323095180372282
% SZS output start Proof for 913561853323095180372282
2. (~old(fred) | creative(fred)) => (~creative(mary) | curious(mary)) [input p1]
4. ! [X0] : ((creative(X0) <~> tall(X0)) <=> brave(X0)) [input p3]
9. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (tall(X0) | ~gene... | 0 |
Everyone who is old or generous is curious or quiet and vice versa.
Everyone who is not curious is calm.
If john is either curious or not creative then someone is not wise and vice versa.
Everyone who is both curious and not creative is both generous and not generous.
If mary is not tall or funny then paul is either no... | Alice is creative. | neutral | (![X]:((old(X)|generous(X))<=>(curious(X)|quiet(X))))&
(![X]:(~curious(X)=>calm(X)))&
(((curious(john)<~>~creative(john)))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)&~creative(X))=>(generous(X)&~generous(X))))&
(((~tall(mary)|funny(mary)))=>((~strong(paul)<~>strong(paul))))&
(![X]:((funny(X)&~funny(X))=>wise(X)))&
((?[X]... | creative(alice) | [] | null | 0 |
If someone is happy then fred is both old and not wise.
If someone is not curious then john is not strong or not tall.
If someone is not generous or kind then someone is both not quiet and humble.
Everyone who is either not brave or generous is not generous and vice versa.
If susan is both not rich and not creative the... | John is calm. | contradiction | ((?[X]:(happy(X)))=>((old(fred)&~wise(fred))))&
((?[X]:(~curious(X)))=>((~strong(john)|~tall(john))))&
((?[X]:((~generous(X)|kind(X))))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:((~brave(X)<~>generous(X))<=>~generous(X)))&
(((~rich(susan)&~creative(susan)))=>(?[X]:((curious(X)<~>kind(X)))))&
(((curious(alice)<~>kind(alic... | calm(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 122661713620286935479855
% SZS output start Proof for 122661713620286935479855
7. ! [X0] : (~old(X0) <=> (old(X0) & calm(X0))) [input p6]
25. calm(john) [input hypothesis]
55. ! [X0] : ((~old(X0) | (~old(X0) | ~calm(X0))) & ((old(X0) & calm(X0)) | old(X0))) [nnf transformation 7]
56. ! [X... | 0 |
Everyone who is either curious or not tall is both not old and not calm and vice versa.
Everyone who is quiet is not calm or generous.
If someone is not quiet or strong then susan is both strong and curious and vice versa.
Everyone who is both not happy and not old is funny and vice versa.
Everyone who is funny or tall... | John is calm. | contradiction | (![X]:((curious(X)<~>~tall(X))<=>(~old(X)&~calm(X))))&
(![X]:(quiet(X)=>(~calm(X)|generous(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>((strong(susan)&curious(susan))))&
(![X]:((~happy(X)&~old(X))<=>funny(X)))&
(![X]:((funny(X)|tall(X))=>(curious(X)&~wise(X))))&
((?[X]:((~curious(X)&calm(X))))=>((~generous(lucy)&~creative... | calm(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5190531573001986235710201
% SZS output start Proof for 5190531573001986235710201
23. ~calm(john) [input p22]
25. calm(john) [input hypothesis]
132. ~calm(john) [cnf transformation 23]
135. calm(john) [cnf transformation 25]
313. $false [subsumption resolution 135,132]
% SZS output end Pro... | 0 |
Everyone who is either not funny or not tall is both not patient and not calm. If alice is not quiet then someone is both wise and patient and vice versa. Everyone who is not strong is generous. If mary is rich then someone is not quiet or not humble. Everyone who is either humble or rich is either humble or not tall. ... | Susan is not quiet. | neutral | (![X]:((~funny(X)<~>~tall(X))=>(~patient(X)&~calm(X))))&
((~quiet(alice))<=>(?[X]:((wise(X)&patient(X)))))&
(![X]:(~strong(X)=>generous(X)))&
((rich(mary))=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:((humble(X)<~>rich(X))=>(humble(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>humble(X))))<=>(?[X]:((~rich(X)&wise(X)))))&
(![X]:((... | ~quiet(susan) | [] | null | 0 |
If lucy is both wise and kind then fred is not kind or not curious.
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quie... | Mary is quiet. | contradiction | (((wise(lucy)&kind(lucy)))=>((~kind(fred)|~curious(fred))))&
((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~ric... | quiet(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8125913688521822679588265
% SZS output start Proof for 8125913688521822679588265
11. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p10]
20. quiet(mary) [input hypothesis]
23. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X1] : (~wise(X1) & wise(X1)) [rectify ... | 0 |
Everyone who is creative or not calm is both not kind and creative.
Everyone who is not patient or curious is both not rich and not tall.
If someone is both not tall and rich then someone is creative or not happy and vice versa.
Everyone who is not strong is not tall or tall and vice versa.
If mary is either patient or... | Alice is not wise. | neutral | (![X]:((creative(X)|~calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)|curious(X))=>(~rich(X)&~tall(X))))&
((?[X]:((~tall(X)&rich(X))))<=>(?[X]:((creative(X)|~happy(X)))))&
(![X]:(~strong(X)<=>(~tall(X)|tall(X))))&
(((patient(mary)<~>~funny(mary)))=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)<=>creative(X)))&
(![X]:... | ~wise(alice) | [] | null | 0 |
Everyone who is either not wise or brave is not tall or not patient.
Everyone who is calm is creative or not rich and vice versa.
If susan is either not kind or not tall then fred is either curious or wise.
If someone is not calm then someone is humble and vice versa.
If someone is not creative or happy then fred is ei... | Alice is not funny. | neutral | (![X]:((~wise(X)<~>brave(X))=>(~tall(X)|~patient(X))))&
(![X]:(calm(X)<=>(creative(X)|~rich(X))))&
(((~kind(susan)<~>~tall(susan)))=>((curious(fred)<~>wise(fred))))&
((?[X]:(~calm(X)))<=>(?[X]:(humble(X))))&
((?[X]:((~creative(X)|happy(X))))<=>((~brave(fred)<~>~creative(fred))))&
((?[X]:((~humble(X)<~>calm(X))))=>((~ri... | ~funny(alice) | [] | null | 0 |
If paul is both not brave and not generous then someone is not generous and vice versa.
Everyone who is patient or not tall is both patient and not strong and vice versa.
Everyone who is not generous or generous is either not wise or calm and vice versa.
If mary is not calm then someone is old and vice versa.
Everyone ... | John is calm. | contradiction | (((~brave(paul)&~generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((patient(X)|~tall(X))<=>(patient(X)&~strong(X))))&
(![X]:((~generous(X)|generous(X))<=>(~wise(X)<~>calm(X))))&
((~calm(mary))<=>(?[X]:(old(X))))&
(![X]:(funny(X)<=>(wise(X)|rich(X))))&
((?[X]:(~old(X)))=>((~strong(susan)<~>happy(susan))))&
(![X]:((creat... | calm(john) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3703458353146226931177132
% SZS output start Proof for 3703458353146226931177132
3. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (~wise(X0) <~> calm(X0))) [input p2]
5. ! [X0] : (funny(X0) <=> (rich(X0) | wise(X0))) [input p4]
8. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (tall(X0) | wise(... | 0 |
Everyone who is either funny or humble is not calm and vice versa. Everyone who is calm or funny is either not generous or generous. If someone is both creative and happy then fred is not wise. Everyone who is both not funny and tall is both old and not patient. Everyone who is both creative and quiet is both not tall ... | Susan is not strong. | neutral | (![X]:((funny(X)<~>humble(X))<=>~calm(X)))&
(![X]:((calm(X)|funny(X))=>(~generous(X)<~>generous(X))))&
((?[X]:((creative(X)&happy(X))))=>(~wise(fred)))&
(![X]:((~funny(X)&tall(X))=>(old(X)&~patient(X))))&
(![X]:((creative(X)&quiet(X))=>(~tall(X)&~humble(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((calm(X)&happy(... | ~strong(susan) | [] | null | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | Susan is old. | entailment | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | old(susan) | [
"p4",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6214392769890500621677921
% SZS output start Proof for 6214392769890500621677921
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
11. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (rich(X0) | ~curious(X0))) [input p10]
... | 0 |
If someone is kind or calm then lucy is tall or wise and vice versa. Everyone who is either humble or not generous is either not humble or not happy and vice versa. If john is generous or not strong then lucy is not brave or creative. Everyone who is both tall and not old is either not rich or tall and vice versa. If p... | Lucy is old. | entailment | ((?[X]:((kind(X)|calm(X))))<=>((tall(lucy)|wise(lucy))))&
(![X]:((humble(X)<~>~generous(X))<=>(~humble(X)<~>~happy(X))))&
(((generous(john)|~strong(john)))=>((~brave(lucy)|creative(lucy))))&
(![X]:((tall(X)&~old(X))<=>(~rich(X)<~>tall(X))))&
(((~funny(paul)&kind(paul)))<=>((~creative(lucy)|patient(lucy))))&
((?[X]:((~b... | old(lucy) | [
"p1",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6111018238507043805582280
% SZS output start Proof for 6111018238507043805582280
2. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (~humble(X0) <~> ~happy(X0))) [input p1]
11. ! [X0] : ((~old(X0) <~> ~tall(X0)) <=> (~happy(X0) & ~generous(X0))) [input p10]
15. ! [X0] : ((~wise(X0) | funny(X... | 0 |
Everyone who is generous or not quiet is both kind and generous and vice versa.
If mary is not creative then fred is both humble and strong and vice versa.
If someone is both not strong and curious then someone is either not generous or not strong.
If someone is not tall or not strong then fred is not generous.
Everyon... | John is quiet. | entailment | (![X]:((generous(X)|~quiet(X))<=>(kind(X)&generous(X))))&
((~creative(mary))<=>((humble(fred)&strong(fred))))&
((?[X]:((~strong(X)&curious(X))))=>(?[X]:((~generous(X)<~>~strong(X)))))&
((?[X]:((~tall(X)|~strong(X))))=>(~generous(fred)))&
(![X]:((generous(X)|old(X))<=>(brave(X)&curious(X))))&
(![X]:(~old(X)<=>(~strong(X... | quiet(john) | [
"p0",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 745588081115489533755088
% SZS output start Proof for 745588081115489533755088
1. ! [X0] : ((~quiet(X0) | generous(X0)) <=> (generous(X0) & kind(X0))) [input p0]
9. ! [X0] : ((funny(X0) | creative(X0)) => ~generous(X0)) [input p8]
10. ! [X0] : (creative(X0) <=> (kind(X0) | ~strong(X0))) [... | 0 |
If lucy is not patient or curious then lucy is calm. Everyone who is brave or wise is not tall or patient and vice versa. Everyone who is not wise or not generous is both not wise and not funny. If someone is not kind then someone is both quiet and not quiet and vice versa. Everyone who is both not wise and not calm is... | Alice is kind. | entailment | (((~patient(lucy)|curious(lucy)))=>(calm(lucy)))&
(![X]:((brave(X)|wise(X))<=>(~tall(X)|patient(X))))&
(![X]:((~wise(X)|~generous(X))=>(~wise(X)&~funny(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:((~wise(X)&~calm(X))<=>(~tall(X)&~happy(X))))&
((?[X]:(quiet(X)))=>((strong(fred)<~>brave(fred))))&
((... | kind(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7518764261573617333792883
% SZS output start Proof for 7518764261573617333792883
4. ? [X0] : ~kind(X0) <=> ? [X0] : (~quiet(X0) & quiet(X0)) [input p3]
25. ~kind(alice) [input hypothesis]
26. ? [X0] : ~kind(X0) <=> ? [X1] : (~quiet(X1) & quiet(X1)) [rectify 4]
44. (? [X0] : ~kind(X0) | ! ... | 0 |
If someone is not wise then someone is not funny or not happy and vice versa.
Everyone who is humble is patient or strong and vice versa.
If someone is wise or not calm then someone is not curious or not calm and vice versa.
Everyone who is both tall and not wise is either not creative or not tall and vice versa.
Every... | Mary is not brave. | neutral | ((?[X]:(~wise(X)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(humble(X)<=>(patient(X)|strong(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((tall(X)&~wise(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((tall(X)&curious(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~old(X))=>~quiet(X)))&
(((~funny(mary)... | ~brave(mary) | [] | null | 0 |
If mary is both not generous and not rich then someone is either not patient or rich and vice versa.
Everyone who is either not wise or not quiet is not wise.
Everyone who is both brave and not humble is either creative or old and vice versa.
If mary is both not strong and rich then someone is not calm and vice versa.
... | Paul is wise. | contradiction | (((~generous(mary)&~rich(mary)))<=>(?[X]:((~patient(X)<~>rich(X)))))&
(![X]:((~wise(X)<~>~quiet(X))=>~wise(X)))&
(![X]:((brave(X)&~humble(X))<=>(creative(X)<~>old(X))))&
(((~strong(mary)&rich(mary)))<=>(?[X]:(~calm(X))))&
(![X]:(~rich(X)=>(kind(X)<~>~kind(X))))&
(((~rich(susan)<~>curious(susan)))<=>(?[X]:((rich(X)<~>~t... | wise(paul) | [
"p1",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2893930376159884093784058
% SZS output start Proof for 2893930376159884093784058
2. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) => ~wise(X0)) [input p1]
10. ! [X0] : (funny(X0) => (quiet(X0) <~> funny(X0))) [input p9]
14. ! [X0] : (~calm(X0) => (funny(X0) & generous(X0))) [input p13]
20. ~calm(p... | 0 |
If mary is generous or funny then someone is calm or generous.
Everyone who is strong is both not patient and quiet and vice versa.
If someone is either brave or kind then someone is both not patient and not brave and vice versa.
Everyone who is both not old and not generous is either quiet or calm and vice versa.
If s... | John is rich. | neutral | (((generous(mary)|funny(mary)))=>(?[X]:((calm(X)|generous(X)))))&
(![X]:(strong(X)<=>(~patient(X)&quiet(X))))&
((?[X]:((brave(X)<~>kind(X))))<=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:((~old(X)&~generous(X))<=>(quiet(X)<~>calm(X))))&
((?[X]:((~quiet(X)&happy(X))))=>((tall(john)<~>happy(john))))&
(![X]:((generous(X)&ki... | rich(john) | [] | null | 0 |
If mary is both not wise and not funny then fred is happy and vice versa.
Everyone who is either not patient or quiet is both not brave and not tall and vice versa.
Everyone who is either not curious or humble is both not calm and not funny and vice versa.
If someone is either not creative or kind then john is patient ... | Susan is not strong. | entailment | (((~wise(mary)&~funny(mary)))<=>(happy(fred)))&
(![X]:((~patient(X)<~>quiet(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~curious(X)<~>humble(X))<=>(~calm(X)&~funny(X))))&
((?[X]:((~creative(X)<~>kind(X))))=>((patient(john)|funny(john))))&
(![X]:(~humble(X)=>patient(X)))&
((?[X]:(old(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(!... | ~strong(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1681182035497775926666102
% SZS output start Proof for 1681182035497775926666102
19. ~strong(susan) & tall(susan) [input p18]
25. strong(susan) [input hypothesis]
135. ~strong(susan) [cnf transformation 19]
145. strong(susan) [cnf transformation 25]
240. 22 <=> strong(susan) [avatar defin... | 0 |
If mary is not calm then someone is either not tall or not calm.
Everyone who is both generous and not funny is curious or brave and vice versa.
If lucy is not humble then someone is creative or not generous and vice versa.
If someone is wise then mary is either funny or not quiet.
Everyone who is not kind or quiet is ... | Fred is not humble. | entailment | ((~calm(mary))=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:((generous(X)&~funny(X))<=>(curious(X)|brave(X))))&
((~humble(lucy))<=>(?[X]:((creative(X)|~generous(X)))))&
((?[X]:(wise(X)))=>((funny(mary)<~>~quiet(mary))))&
(![X]:((~kind(X)|quiet(X))<=>(funny(X)<~>humble(X))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:... | ~humble(fred) | [
"p4",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3893020558307859598797870
% SZS output start Proof for 3893020558307859598797870
5. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (funny(X0) <~> humble(X0))) [input p4]
6. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p5]
7. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [inp... | 0 |
Everyone who is either quiet or not generous is patient or curious.
Everyone who is both not brave and generous is not rich and vice versa.
Everyone who is wise is both old and tall.
Everyone who is both quiet and not happy is either not creative or rich.
Everyone who is both generous and humble is either not wise or w... | Susan is not patient. | entailment | (![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X))))&
(![X]:((~brave(X)&generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>(old(X)&tall(X))))&
(![X]:((quiet(X)&~happy(X))=>(~creative(X)<~>rich(X))))&
(![X]:((generous(X)&humble(X))<=>(~wise(X)<~>wise(X))))&
((?[X]:((~brave(X)&generous(X))))<=>((~wise(fred)<~>~quiet(fred)... | ~patient(susan) | [
"p4",
"p7",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7004717285967120511957847
% SZS output start Proof for 7004717285967120511957847
5. ! [X0] : ((humble(X0) & generous(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (~brave(X0) & ~quiet(X0))) [input p7]
13. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> ... | 0 |
Everyone who is calm is both quiet and not generous.
If fred is not humble or old then someone is happy.
Everyone who is calm is calm or not wise.
Everyone who is not creative or not calm is either happy or not patient.
If alice is both not wise and strong then someone is both not rich and not patient.
If mary is not h... | Paul is not patient. | contradiction | (![X]:(calm(X)=>(quiet(X)&~generous(X))))&
(((~humble(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:(calm(X)=>(calm(X)|~wise(X))))&
(![X]:((~creative(X)|~calm(X))=>(happy(X)<~>~patient(X))))&
(((~wise(alice)&strong(alice)))=>(?[X]:((~rich(X)&~patient(X)))))&
((~happy(mary))=>(~curious(susan)))&
(![X]:((brave(X)<~>~brave... | ~patient(paul) | [
"p0",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1777325427751842855637550
% SZS output start Proof for 1777325427751842855637550
1. ! [X0] : (calm(X0) => (~generous(X0) & quiet(X0))) [input p0]
4. ! [X0] : ((~calm(X0) | ~creative(X0)) => (happy(X0) <~> ~patient(X0))) [input p3]
8. ! [X0] : (~calm(X0) <=> (~wise(X0) & ~generous(X0))) [i... | 0 |
Everyone who is both creative and not calm is either funny or strong and vice versa. Everyone who is either not quiet or not generous is both not funny and not curious and vice versa. Everyone who is either not creative or not curious is not old and vice versa. Everyone who is curious is either generous or kind and vic... | Paul is not curious. | entailment | (![X]:((creative(X)&~calm(X))<=>(funny(X)<~>strong(X))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~creative(X)<~>~curious(X))<=>~old(X)))&
(![X]:(curious(X)<=>(generous(X)<~>kind(X))))&
((?[X]:((~creative(X)&calm(X))))=>((~quiet(paul)<~>tall(paul))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(... | ~curious(paul) | [
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 495407101540512238231299
% SZS output start Proof for 495407101540512238231299
4. ! [X0] : (curious(X0) <=> (generous(X0) <~> kind(X0))) [input p3]
11. ! [X0] : ((brave(X0) | generous(X0)) <=> kind(X0)) [input p10]
20. patient(paul) & ~kind(paul) [input p19]
24. curious(paul) [input hypot... | 0 |
If mary is funny or brave then someone is not creative or curious and vice versa.
Everyone who is not happy or not creative is both kind and not patient.
If paul is either happy or brave then someone is strong or not creative and vice versa.
If mary is either kind or not tall then john is both not tall and not humble.
... | Alice is not creative. | contradiction | (((funny(mary)|brave(mary)))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((~happy(X)|~creative(X))=>(kind(X)&~patient(X))))&
(((happy(paul)<~>brave(paul)))<=>(?[X]:((strong(X)|~creative(X)))))&
(((kind(mary)<~>~tall(mary)))=>((~tall(john)&~humble(john))))&
((?[X]:((rich(X)&old(X))))<=>(?[X]:((~quiet(X)|~wise(X)))))&
(... | ~creative(alice) | [
"p1",
"p2",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 171179073666277473234204
% SZS output start Proof for 171179073666277473234204
2. ! [X0] : ((~creative(X0) | ~happy(X0)) => (~patient(X0) & kind(X0))) [input p1]
3. (happy(paul) <~> brave(paul)) <=> ? [X0] : (~creative(X0) | strong(X0)) [input p2]
19. brave(paul) [input p18]
21. patient(p... | 0 |
Everyone who is both old and brave is not happy.
Everyone who is humble is either strong or not humble and vice versa.
If someone is not wise then fred is strong or not quiet and vice versa.
Everyone who is not generous is both humble and not humble and vice versa.
Everyone who is both brave and not humble is either no... | Alice is tall. | neutral | (![X]:((old(X)&brave(X))=>~happy(X)))&
(![X]:(humble(X)<=>(strong(X)<~>~humble(X))))&
((?[X]:(~wise(X)))<=>((strong(fred)|~quiet(fred))))&
(![X]:(~generous(X)<=>(humble(X)&~humble(X))))&
(![X]:((brave(X)&~humble(X))<=>(~strong(X)<~>~old(X))))&
((~humble(paul))=>(?[X]:(humble(X))))&
(((wise(fred)&~calm(fred)))<=>((calm(... | tall(alice) | [] | null | 0 |
Everyone who is strong is either happy or not old.
Everyone who is not patient is both rich and curious.
Everyone who is either happy or tall is not creative or creative and vice versa.
Everyone who is both not humble and tall is either patient or old and vice versa.
If someone is wise then susan is both old and tall.
... | Lucy is happy. | contradiction | (![X]:(strong(X)=>(happy(X)<~>~old(X))))&
(![X]:(~patient(X)=>(rich(X)&curious(X))))&
(![X]:((happy(X)<~>tall(X))<=>(~creative(X)|creative(X))))&
(![X]:((~humble(X)&tall(X))<=>(patient(X)<~>old(X))))&
((?[X]:(wise(X)))=>((old(susan)&tall(susan))))&
(![X]:(~quiet(X)<=>(~tall(X)|~generous(X))))&
(![X]:((~brave(X)<~>curio... | happy(lucy) | [
"p2",
"p3",
"p7",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2662774041033987822851110
% SZS output start Proof for 2662774041033987822851110
3. ! [X0] : ((happy(X0) <~> tall(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (patient(X0) <~> old(X0))) [input p3]
8. ! [X0] : ((~patient(X0) & ~strong(X0)) =... | 0 |
Everyone who is either rich or old is either not wise or wise.
Everyone who is both kind and not quiet is old or not quiet.
Everyone who is not creative or not kind is generous or creative.
If fred is either not curious or not calm then paul is not old or quiet.
If someone is either wise or humble then mary is tall or ... | Lucy is not tall. | neutral | (![X]:((rich(X)<~>old(X))=>(~wise(X)<~>wise(X))))&
(![X]:((kind(X)&~quiet(X))=>(old(X)|~quiet(X))))&
(![X]:((~creative(X)|~kind(X))=>(generous(X)|creative(X))))&
(((~curious(fred)<~>~calm(fred)))=>((~old(paul)|quiet(paul))))&
((?[X]:((wise(X)<~>humble(X))))=>((tall(mary)|~happy(mary))))&
(![X]:((~quiet(X)<~>creative(X)... | ~tall(lucy) | [] | null | 0 |
Everyone who is either not old or not tall is not tall or calm and vice versa.
If someone is not quiet then mary is either not old or not rich and vice versa.
Everyone who is quiet or not wise is both not brave and not patient and vice versa.
Everyone who is either calm or not patient is patient or not happy and vice v... | John is old. | entailment | (![X]:((~old(X)<~>~tall(X))<=>(~tall(X)|calm(X))))&
((?[X]:(~quiet(X)))<=>((~old(mary)<~>~rich(mary))))&
(![X]:((quiet(X)|~wise(X))<=>(~brave(X)&~patient(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(patient(X)|~happy(X))))&
(![X]:((generous(X)&curious(X))<=>(~curious(X)<~>funny(X))))&
((?[X]:((tall(X)|patient(X))))<=>((fun... | old(john) | [
"p0",
"p5",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3183132737893988476888466
% SZS output start Proof for 3183132737893988476888466
1. ! [X0] : ((~old(X0) <~> ~tall(X0)) <=> (calm(X0) | ~tall(X0))) [input p0]
6. ? [X0] : (patient(X0) | tall(X0)) <=> (~humble(lucy) & funny(lucy)) [input p5]
15. (~calm(john) & strong(john)) <=> ? [X0] : (fu... | 0 |
Everyone who is either not brave or not strong is not humble. If someone is both kind and not happy then fred is tall or curious. If john is tall or patient then someone is both not generous and not curious and vice versa. If someone is both not quiet and not happy then someone is creative or not patient. Everyone who ... | Susan is curious. | entailment | (![X]:((~brave(X)<~>~strong(X))=>~humble(X)))&
((?[X]:((kind(X)&~happy(X))))=>((tall(fred)|curious(fred))))&
(((tall(john)|patient(john)))<=>(?[X]:((~generous(X)&~curious(X)))))&
((?[X]:((~quiet(X)&~happy(X))))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~hap... | curious(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5215137873969782563867877
% SZS output start Proof for 5215137873969782563867877
5. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p4]
9. ? [X0] : ~curious(X0) => ? [X0] : (patient(X0) & quiet(X0)) [input p8]
25. ~curious(susan) [input hypothesis]
27. ? [X0] ... | 0 |
If someone is calm or generous then someone is either funny or not strong.
If someone is not quiet then someone is not tall or not rich and vice versa.
If fred is wise or brave then mary is either funny or not kind and vice versa.
If someone is both wise and not kind then someone is not curious or not strong.
Everyone ... | Fred is quiet. | entailment | ((?[X]:((calm(X)|generous(X))))=>(?[X]:((funny(X)<~>~strong(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(fred)|brave(fred)))<=>((funny(mary)<~>~kind(mary))))&
((?[X]:((wise(X)&~kind(X))))=>(?[X]:((~curious(X)|~strong(X)))))&
(![X]:(~strong(X)=>quiet(X)))&
(![X]:((brave(X)|~strong(X))<=>(~happy(X... | quiet(fred) | [
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1421804165531068448258801
% SZS output start Proof for 1421804165531068448258801
5. ! [X0] : (~strong(X0) => quiet(X0)) [input p4]
7. ! [X0] : ((funny(X0) & strong(X0)) <=> (~generous(X0) <~> funny(X0))) [input p6]
10. ! [X0] : ((funny(X0) | generous(X0)) <=> ~generous(X0)) [input p9]
24.... | 0 |
Everyone who is both not strong and patient is either funny or not humble.
Everyone who is both not strong and calm is either wise or not brave and vice versa.
If susan is either not old or not brave then someone is brave and vice versa.
Everyone who is kind is not generous and vice versa.
Everyone who is not generous ... | John is old. | entailment | (![X]:((~strong(X)&patient(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~strong(X)&calm(X))<=>(wise(X)<~>~brave(X))))&
(((~old(susan)<~>~brave(susan)))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:(~generous(X)=>(humble(X)|tall(X))))&
((?[X]:((~quiet(X)&~tall(X))))<=>(?[X]:((~rich(X)&creative(X)))))&
((?[X]:... | old(john) | [
"p4",
"p8",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2612883395984928397834684
% SZS output start Proof for 2612883395984928397834684
5. ! [X0] : (~generous(X0) => (tall(X0) | humble(X0))) [input p4]
9. ! [X0] : (funny(X0) <=> (brave(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((tall(X0) | happy(X0)) <=> ~tall(X0)) [input p9]
13. ! [X0] : ((... | 0 |
If fred is both not creative and not calm then someone is both not funny and curious. Everyone who is wise is generous or not generous and vice versa. Everyone who is tall is not tall or not creative and vice versa. Everyone who is both patient and tall is either calm or strong. If john is generous then someone is eith... | Susan is not wise. | contradiction | (((~creative(fred)&~calm(fred)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:(wise(X)<=>(generous(X)|~generous(X))))&
(![X]:(tall(X)<=>(~tall(X)|~creative(X))))&
(![X]:((patient(X)&tall(X))=>(calm(X)<~>strong(X))))&
((generous(john))<=>(?[X]:((~creative(X)<~>patient(X)))))&
(![X]:(~wise(X)=>(~funny(X)<~>old(X))))&
((?[X]:... | ~wise(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 18051052441467184156643
% SZS output start Proof for 18051052441467184156643
2. ! [X0] : (wise(X0) <=> (~generous(X0) | generous(X0))) [input p1]
23. ~wise(susan) [input hypothesis]
46. ! [X0] : ((wise(X0) | (generous(X0) & ~generous(X0))) & ((~generous(X0) | generous(X0)) | ~wise(X0))) [... | 0 |
If alice is either strong or not happy then someone is either generous or not wise and vice versa. If lucy is either old or not funny then someone is either quiet or not curious and vice versa. If lucy is both old and not generous then susan is both brave and not calm. Everyone who is not humble is both tall and funny ... | Alice is brave. | neutral | (((strong(alice)<~>~happy(alice)))<=>(?[X]:((generous(X)<~>~wise(X)))))&
(((old(lucy)<~>~funny(lucy)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
(((old(lucy)&~generous(lucy)))=>((brave(susan)&~calm(susan))))&
(![X]:(~humble(X)<=>(tall(X)&funny(X))))&
(![X]:(~old(X)=>(tall(X)<~>kind(X))))&
((?[X]:((~curious(X)&~patient(X)))... | brave(alice) | [] | null | 0 |
Everyone who is wise is generous.
Everyone who is not creative or not calm is not strong or not creative.
Everyone who is both not rich and not happy is not strong or not quiet.
Everyone who is humble is not wise and vice versa.
Everyone who is not tall or not patient is tall.
If someone is not creative then john is ei... | Lucy is not strong. | neutral | (![X]:(wise(X)=>generous(X)))&
(![X]:((~creative(X)|~calm(X))=>(~strong(X)|~creative(X))))&
(![X]:((~rich(X)&~happy(X))=>(~strong(X)|~quiet(X))))&
(![X]:(humble(X)<=>~wise(X)))&
(![X]:((~tall(X)|~patient(X))=>tall(X)))&
((?[X]:(~creative(X)))=>((~strong(john)<~>~quiet(john))))&
(![X]:((~humble(X)|wise(X))<=>(kind(X)&ca... | ~strong(lucy) | [] | null | 0 |
Everyone who is either not quiet or calm is both not creative and rich and vice versa.
If someone is not generous then paul is humble or patient and vice versa.
Everyone who is not happy is not strong and vice versa.
Everyone who is calm is both calm and not strong.
Everyone who is either kind or tall is not quiet or n... | Fred is not happy. | contradiction | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&rich(X))))&
((?[X]:(~generous(X)))<=>((humble(paul)|patient(paul))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>tall(X))=>(~quiet(X)|~old(X))))&
(((curious(mary)|~kind(mary)))<=>((~quiet(john)|wise(john))))&
(![X]:((~kind(X)|~... | ~happy(fred) | [
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 288090728955601661158861
% SZS output start Proof for 288090728955601661158861
3. ! [X0] : (~happy(X0) <=> ~strong(X0)) [input p2]
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(X0))) [input p6]
13. ! [X0] : ((~humble(X0) & ~happy(X0)) <=> ~tall(X0)) [input p12]
16. ! [X0... | 0 |
If someone is kind or not generous then someone is wise and vice versa. If someone is both not generous and not rich then someone is either not tall or creative. If lucy is brave or humble then someone is either kind or not tall and vice versa. If someone is tall or not old then someone is not strong or not tall. Every... | Mary is not humble. | entailment | ((?[X]:((kind(X)|~generous(X))))<=>(?[X]:(wise(X))))&
((?[X]:((~generous(X)&~rich(X))))=>(?[X]:((~tall(X)<~>creative(X)))))&
(((brave(lucy)|humble(lucy)))<=>(?[X]:((kind(X)<~>~tall(X)))))&
((?[X]:((tall(X)|~old(X))))=>(?[X]:((~strong(X)|~tall(X)))))&
(![X]:(humble(X)=>(~generous(X)<~>rich(X))))&
((humble(mary))<=>((~wi... | ~humble(mary) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7684322797530056251143839
% SZS output start Proof for 7684322797530056251143839
5. ! [X0] : (humble(X0) => (~generous(X0) <~> rich(X0))) [input p4]
8. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~generous(X0) <~> ~rich(X0))) [input p7]
25. humble(mary) [input hypothesis]
36. ! [X0] : ((~ge... | 0 |
If lucy is either strong or not tall then susan is not humble and vice versa.
Everyone who is either not patient or creative is both not calm and curious and vice versa.
Everyone who is wise or not rich is not rich and vice versa.
If paul is either funny or kind then lucy is generous or curious and vice versa.
If lucy ... | Mary is brave. | neutral | (((strong(lucy)<~>~tall(lucy)))<=>(~humble(susan)))&
(![X]:((~patient(X)<~>creative(X))<=>(~calm(X)&curious(X))))&
(![X]:((wise(X)|~rich(X))<=>~rich(X)))&
(((funny(paul)<~>kind(paul)))<=>((generous(lucy)|curious(lucy))))&
(((~strong(lucy)&~quiet(lucy)))<=>((kind(susan)&calm(susan))))&
((?[X]:(funny(X)))<=>(?[X]:(~brave... | brave(mary) | [] | null | 0 |
If john is both strong and kind then someone is wise or not generous.
If someone is both kind and old then john is not quiet or not kind.
If someone is funny or not happy then someone is humble.
Everyone who is both not kind and brave is either not patient or not old.
Everyone who is either not funny or patient is both... | Mary is not funny. | contradiction | (((strong(john)&kind(john)))=>(?[X]:((wise(X)|~generous(X)))))&
((?[X]:((kind(X)&old(X))))=>((~quiet(john)|~kind(john))))&
((?[X]:((funny(X)|~happy(X))))=>(?[X]:(humble(X))))&
(![X]:((~kind(X)&brave(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~quiet(X)&curious(X))))&
(((~quiet(mary)<~>brave(mary))... | ~funny(mary) | [
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4613123491803208321758204
% SZS output start Proof for 4613123491803208321758204
9. ? [X0] : (wise(X0) <~> generous(X0)) <=> funny(mary) [input p8]
15. ! [X0] : (~generous(X0) <=> (wise(X0) <~> quiet(X0))) [input p14]
17. ~quiet(mary) [input p16]
25. ~funny(mary) [input hypothesis]
58. (?... | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Fred is not creative. | neutral | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~creative(fred) | [] | null | 0 |
If mary is not creative or not strong then fred is not strong. Everyone who is not creative is happy or calm and vice versa. Everyone who is both strong and not curious is tall and vice versa. Everyone who is tall or strong is quiet and vice versa. Everyone who is both not calm and not happy is strong and vice versa. E... | Paul is not rich. | neutral | (((~creative(mary)|~strong(mary)))=>(~strong(fred)))&
(![X]:(~creative(X)<=>(happy(X)|calm(X))))&
(![X]:((strong(X)&~curious(X))<=>tall(X)))&
(![X]:((tall(X)|strong(X))<=>quiet(X)))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(![X]:((old(X)|~generous(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~kind(X)|brave(X))<=>(~strong(X... | ~rich(paul) | [] | null | 0 |
Everyone who is rich is not tall and vice versa.
Everyone who is either not humble or funny is either kind or wise.
Everyone who is both calm and not tall is not wise or tall and vice versa.
Everyone who is both not patient and not calm is quiet or not wise.
If paul is not tall or not strong then fred is not funny or c... | Fred is not patient. | entailment | (![X]:(rich(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>funny(X))=>(kind(X)<~>wise(X))))&
(![X]:((calm(X)&~tall(X))<=>(~wise(X)|tall(X))))&
(![X]:((~patient(X)&~calm(X))=>(quiet(X)|~wise(X))))&
(((~tall(paul)|~strong(paul)))<=>((~funny(fred)|creative(fred))))&
(![X]:((~humble(X)|old(X))<=>(~funny(X)|funny(X))))&
(![X]:((~fun... | ~patient(fred) | [
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2634317066987275429378208
% SZS output start Proof for 2634317066987275429378208
14. (~kind(mary) & ~curious(mary)) <=> (~old(fred) | patient(fred)) [input p13]
24. kind(mary) [input p23]
25. patient(fred) [input hypothesis]
49. ((~kind(mary) & ~curious(mary)) | (old(fred) & ~patient(fred... | 0 |
If someone is not kind then someone is not curious or not calm. Everyone who is happy is brave and vice versa. If someone is generous or not calm then someone is not calm. If someone is funny or brave then lucy is either not funny or brave. Everyone who is not wise is happy. Everyone who is either tall or quiet is crea... | John is funny. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:(happy(X)<=>brave(X)))&
((?[X]:((generous(X)|~calm(X))))=>(?[X]:(~calm(X))))&
((?[X]:((funny(X)|brave(X))))=>((~funny(lucy)<~>brave(lucy))))&
(![X]:(~wise(X)=>happy(X)))&
(![X]:((tall(X)<~>quiet(X))<=>(creative(X)|~humble(X))))&
((?[X]:((wise(X)&~funny(X))))=>... | funny(john) | [] | null | 0 |
Everyone who is either strong or not strong is not old.
Everyone who is not old is calm or generous.
Everyone who is not patient is not quiet or not creative.
If fred is old then someone is either not wise or not kind and vice versa.
If fred is happy or not creative then someone is curious.
If someone is both not quiet... | Lucy is quiet. | entailment | (![X]:((strong(X)<~>~strong(X))=>~old(X)))&
(![X]:(~old(X)=>(calm(X)|generous(X))))&
(![X]:(~patient(X)=>(~quiet(X)|~creative(X))))&
((old(fred))<=>(?[X]:((~wise(X)<~>~kind(X)))))&
(((happy(fred)|~creative(fred)))=>(?[X]:(curious(X))))&
((?[X]:((~quiet(X)&~calm(X))))=>(?[X]:((~wise(X)<~>old(X)))))&
((?[X]:(~funny(X)))=... | quiet(lucy) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2368955585460556185677799
% SZS output start Proof for 2368955585460556185677799
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => ~old(X0)) [input p0]
14. ! [X0] : ((~strong(X0) | ~quiet(X0)) => (~humble(X0) & old(X0))) [input p13]
24. ~quiet(lucy) [input hypothesis]
31. ! [X0] : (~old(X0) | ... | 0 |
If paul is both wise and not humble then lucy is both calm and not old.
Everyone who is both funny and not happy is not old or not kind and vice versa.
If someone is not wise or not calm then someone is wise or not brave.
Everyone who is wise is calm or creative and vice versa.
If someone is not tall or not calm then a... | Alice is creative. | contradiction | (((wise(paul)&~humble(paul)))=>((calm(lucy)&~old(lucy))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|~kind(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:(wise(X)<=>(calm(X)|creative(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((~humble(alice)&~patient(alice))))&
((?[X]:((patient(X)<~>creative(X))))<... | creative(alice) | [
"p1",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5454075555429793103720833
% SZS output start Proof for 5454075555429793103720833
2. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
4. ! [X0] : (wise(X0) <=> (creative(X0) | calm(X0))) [input p3]
8. ! [X0] : (kind(X0) <=> (~wise(X0) & tall(X0))) [input p7]
10. ! ... | 0 |
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