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 patient and wise is both funny and not creative. Everyone who is either not funny or wise is either brave or not rich. Everyone who is not quiet is both not brave and curious. If susan is both not curious and calm then someone is both not patient and not rich and vice versa. If someone is both crea... | Mary is strong. | entailment | (![X]:((patient(X)&wise(X))=>(funny(X)&~creative(X))))&
(![X]:((~funny(X)<~>wise(X))=>(brave(X)<~>~rich(X))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet... | strong(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 822124870031712883826215
% SZS output start Proof for 822124870031712883826215
19. strong(mary) [input p18]
25. ~strong(mary) [input hypothesis]
139. strong(mary) [cnf transformation 19]
147. ~strong(mary) [cnf transformation 25]
330. $false [subsumption resolution 147,139]
% SZS output e... | 0 |
If someone is not kind then someone is both rich and strong. Everyone who is both not funny and curious is old and vice versa. If someone is either not patient or not brave then paul is not generous or not creative and vice versa. Everyone who is both humble and tall is not kind and vice versa. If someone is either not... | Lucy is not happy. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&strong(X)))))&
(![X]:((~funny(X)&curious(X))<=>old(X)))&
((?[X]:((~patient(X)<~>~brave(X))))<=>((~generous(paul)|~creative(paul))))&
(![X]:((humble(X)&tall(X))<=>~kind(X)))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~tall(X)|creative(X)))))&
(((~humble(susan)|happy(susan)))<=>((... | ~happy(lucy) | [] | null | 0 |
If someone is either calm or not rich then someone is both not rich and brave.
Everyone who is not generous or brave is either curious or happy.
Everyone who is both patient and not strong is curious.
Everyone who is either generous or humble is either not kind or funny.
Everyone who is either not old or brave is calm ... | Paul is not happy. | contradiction | ((?[X]:((calm(X)<~>~rich(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~generous(X)|brave(X))=>(curious(X)<~>happy(X))))&
(![X]:((patient(X)&~strong(X))=>curious(X)))&
(![X]:((generous(X)<~>humble(X))=>(~kind(X)<~>funny(X))))&
(![X]:((~old(X)<~>brave(X))<=>(calm(X)|~old(X))))&
(![X]:((~calm(X)&~happy(X))<=>(~curious(X)... | ~happy(paul) | [
"p0",
"p1",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 909276613755495516110410
% SZS output start Proof for 909276613755495516110410
1. ? [X0] : (calm(X0) <~> ~rich(X0)) => ? [X0] : (brave(X0) & ~rich(X0)) [input p0]
2. ! [X0] : ((brave(X0) | ~generous(X0)) => (curious(X0) <~> happy(X0))) [input p1]
5. ! [X0] : ((~old(X0) <~> brave(X0)) <=> ... | 0 |
Everyone who is not tall or happy is brave and vice versa.
If susan is not humble or old then alice is not quiet or patient.
If fred is both humble and not wise then susan is not patient and vice versa.
If someone is not calm then someone is both humble and rich and vice versa.
Everyone who is either strong or not quie... | Susan is quiet. | neutral | (![X]:((~tall(X)|happy(X))<=>brave(X)))&
(((~humble(susan)|old(susan)))=>((~quiet(alice)|patient(alice))))&
(((humble(fred)&~wise(fred)))<=>(~patient(susan)))&
((?[X]:(~calm(X)))<=>(?[X]:((humble(X)&rich(X)))))&
(![X]:((strong(X)<~>~quiet(X))<=>generous(X)))&
(![X]:((creative(X)|wise(X))<=>(creative(X)|~strong(X))))&
(... | quiet(susan) | [] | null | 0 |
If someone is old or funny then susan is both not kind and tall and vice versa.
If someone is both not wise and rich then paul is either not funny or not calm.
Everyone who is either creative or not kind is rich or not happy.
Everyone who is curious is not old or humble and vice versa.
If alice is creative then susan i... | Paul is not old. | entailment | ((?[X]:((old(X)|funny(X))))<=>((~kind(susan)&tall(susan))))&
((?[X]:((~wise(X)&rich(X))))=>((~funny(paul)<~>~calm(paul))))&
(![X]:((creative(X)<~>~kind(X))=>(rich(X)|~happy(X))))&
(![X]:(curious(X)<=>(~old(X)|humble(X))))&
((creative(alice))=>((~wise(susan)&~tall(susan))))&
(((curious(susan)<~>~tall(susan)))<=>(~genero... | ~old(paul) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8497780238289689376445126
% SZS output start Proof for 8497780238289689376445126
1. ? [X0] : (funny(X0) | old(X0)) <=> (tall(susan) & ~kind(susan)) [input p0]
9. ! [X0] : (tall(X0) <=> kind(X0)) [input p8]
23. old(paul) [input hypothesis]
40. (? [X0] : (funny(X0) | old(X0)) | (~tall(susan... | 0 |
If someone is not rich then someone is not calm.
Everyone who is not curious or humble is either quiet or not rich and vice versa.
If someone is brave or not humble then paul is not generous or not kind and vice versa.
If someone is not curious then mary is both brave and not curious and vice versa.
If fred is either p... | Susan is calm. | neutral | ((?[X]:(~rich(X)))=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)|humble(X))<=>(quiet(X)<~>~rich(X))))&
((?[X]:((brave(X)|~humble(X))))<=>((~generous(paul)|~kind(paul))))&
((?[X]:(~curious(X)))<=>((brave(mary)&~curious(mary))))&
(((patient(fred)<~>~happy(fred)))=>((~funny(susan)<~>~creative(susan))))&
(![X]:(strong(X)<=>(old... | calm(susan) | [] | null | 0 |
Everyone who is both funny and generous is not creative and vice versa.
If someone is rich then susan is either not humble or not generous.
Everyone who is both strong and brave is strong or not brave.
If mary is rich then someone is patient.
If someone is both rich and not tall then john is either not strong or not cr... | Paul is tall. | entailment | (![X]:((funny(X)&generous(X))<=>~creative(X)))&
((?[X]:(rich(X)))=>((~humble(susan)<~>~generous(susan))))&
(![X]:((strong(X)&brave(X))=>(strong(X)|~brave(X))))&
((rich(mary))=>(?[X]:(patient(X))))&
((?[X]:((rich(X)&~tall(X))))=>((~strong(john)<~>~creative(john))))&
(![X]:(~happy(X)=>(~tall(X)|~rich(X))))&
(![X]:((~quie... | tall(paul) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6793033578250512583916034
% SZS output start Proof for 6793033578250512583916034
7. ! [X0] : ((happy(X0) | ~quiet(X0)) => (old(X0) & tall(X0))) [input p6]
12. ! [X0] : ((wise(X0) | quiet(X0)) => ~quiet(X0)) [input p11]
23. ~tall(paul) [input hypothesis]
25. ! [X0] : (quiet(X0) => ~quiet(X... | 0 |
Everyone who is not wise is either not generous or not happy and vice versa.
Everyone who is both not creative and happy is either generous or not creative.
If someone is not old or quiet then john is either not calm or not happy.
Everyone who is both not humble and not creative is either not rich or old.
If susan is k... | Susan is not brave. | neutral | (![X]:(~wise(X)<=>(~generous(X)<~>~happy(X))))&
(![X]:((~creative(X)&happy(X))=>(generous(X)<~>~creative(X))))&
((?[X]:((~old(X)|quiet(X))))=>((~calm(john)<~>~happy(john))))&
(![X]:((~humble(X)&~creative(X))=>(~rich(X)<~>old(X))))&
(((kind(susan)|~generous(susan)))=>(?[X]:((rich(X)&~humble(X)))))&
(![X]:((wise(X)<~>str... | ~brave(susan) | [] | null | 0 |
If lucy is tall then lucy is both not humble and curious and vice versa.
Everyone who is both not calm and not curious is curious or not happy.
If paul is either curious or not rich then susan is either not curious or strong.
Everyone who is curious is both not wise and not calm and vice versa.
Everyone who is humble i... | Alice is quiet. | entailment | ((tall(lucy))<=>((~humble(lucy)&curious(lucy))))&
(![X]:((~calm(X)&~curious(X))=>(curious(X)|~happy(X))))&
(((curious(paul)<~>~rich(paul)))=>((~curious(susan)<~>strong(susan))))&
(![X]:(curious(X)<=>(~wise(X)&~calm(X))))&
(![X]:(humble(X)<=>(happy(X)&patient(X))))&
(![X]:((~strong(X)&~generous(X))=>(~curious(X)<~>~rich... | quiet(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2555685268919429723746653
% SZS output start Proof for 2555685268919429723746653
14. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (tall(X0) | ~quiet(X0))) [input p13]
25. ~quiet(alice) [input hypothesis]
64. ! [X0] : (((quiet(X0) & ~patient(X0)) | (~tall(X0) & quiet(X0))) & ((tall(X0) | ~quie... | 0 |
Everyone who is either not humble or old is either patient or old.
Everyone who is creative is not generous or not brave.
If someone is not wise or rich then john is either quiet or humble.
If fred is either not quiet or not creative then someone is not rich or tall.
If someone is both not tall and funny then someone i... | Lucy is happy. | contradiction | (![X]:((~humble(X)<~>old(X))=>(patient(X)<~>old(X))))&
(![X]:(creative(X)=>(~generous(X)|~brave(X))))&
((?[X]:((~wise(X)|rich(X))))=>((quiet(john)<~>humble(john))))&
(((~quiet(fred)<~>~creative(fred)))=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~tall(X)&funny(X))))<=>(?[X]:((strong(X)&~patient(X)))))&
(((~funny(lucy)|kind... | happy(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3674875758251227825424951
% SZS output start Proof for 3674875758251227825424951
23. ~happy(lucy) [input p22]
25. happy(lucy) [input hypothesis]
127. ~happy(lucy) [cnf transformation 23]
129. happy(lucy) [cnf transformation 25]
271. $false [subsumption resolution 129,127]
% SZS output end... | 0 |
If lucy is not curious then someone is both not curious and kind.
Everyone who is patient or brave is calm.
Everyone who is both not rich and not funny is curious or strong.
If someone is not calm then lucy is calm and vice versa.
Everyone who is strong or kind is either creative or not creative and vice versa.
Everyon... | Susan is wise. | neutral | ((~curious(lucy))=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((patient(X)|brave(X))=>calm(X)))&
(![X]:((~rich(X)&~funny(X))=>(curious(X)|strong(X))))&
((?[X]:(~calm(X)))<=>(calm(lucy)))&
(![X]:((strong(X)|kind(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((patient(X)<~>creative(X))<=>(rich(X)&~old(X))))&
(((~calm(alice)<~>... | wise(susan) | [] | null | 0 |
Everyone who is not old is curious or quiet and vice versa.
Everyone who is both patient and not brave is patient or not quiet and vice versa.
Everyone who is old or not humble is not happy.
Everyone who is not quiet is not kind or not patient.
If alice is both old and calm then someone is both not humble and not tall.... | Paul is not brave. | entailment | (![X]:(~old(X)<=>(curious(X)|quiet(X))))&
(![X]:((patient(X)&~brave(X))<=>(patient(X)|~quiet(X))))&
(![X]:((old(X)|~humble(X))=>~happy(X)))&
(![X]:(~quiet(X)=>(~kind(X)|~patient(X))))&
(((old(alice)&calm(alice)))=>(?[X]:((~humble(X)&~tall(X)))))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(ali... | ~brave(paul) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 671114110468592534980256
% SZS output start Proof for 671114110468592534980256
2. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~quiet(X0) | patient(X0))) [input p1]
13. ! [X0] : ((~curious(X0) | brave(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p12]
23. brave(paul) [input hypothesis]
39. ! [X0... | 0 |
Everyone who is brave is not funny or not kind and vice versa.
If someone is not patient or happy then someone is both tall and not calm.
If someone is not kind or not generous then someone is not rich and vice versa.
If someone is brave or curious then someone is humble or not humble.
Everyone who is brave is either s... | Mary is not happy. | entailment | (![X]:(brave(X)<=>(~funny(X)|~kind(X))))&
((?[X]:((~patient(X)|happy(X))))=>(?[X]:((tall(X)&~calm(X)))))&
((?[X]:((~kind(X)|~generous(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:(brave(X)<=>(strong(X)<~>old(X))))&
(![X]:((brave(X)&~patient(X))=>tall(X)))&
(![X]:(... | ~happy(mary) | [
"p6",
"p7",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6428986857123355944985773
% SZS output start Proof for 6428986857123355944985773
7. ! [X0] : ((~patient(X0) | tall(X0)) <=> (happy(X0) <~> ~patient(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | calm(X0)) <=> (old(X0) <~> ~calm(X0))) [input p7]
12. ! [X0] : (~calm(X0) <=> (~funny(X0) <~> ~... | 0 |
Everyone who is generous or not happy is not humble.
Everyone who is old is not patient and vice versa.
Everyone who is both not rich and not curious is not happy or curious and vice versa.
If someone is not old then someone is not humble or tall and vice versa.
Everyone who is either strong or tall is not rich and vic... | Mary is tall. | neutral | (![X]:((generous(X)|~happy(X))=>~humble(X)))&
(![X]:(old(X)<=>~patient(X)))&
(![X]:((~rich(X)&~curious(X))<=>(~happy(X)|curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~humble(X)|tall(X)))))&
(![X]:((strong(X)<~>tall(X))<=>~rich(X)))&
((~quiet(lucy))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)|~strong(X))<=>(~quiet(X)|~wise(X))))... | tall(mary) | [] | null | 0 |
If mary is strong then fred is both not strong and not curious.
If paul is both not patient and quiet then fred is either rich or not brave.
If someone is either happy or not old then susan is either not funny or not strong.
Everyone who is either brave or strong is either not strong or not rich.
Everyone who is tall i... | Susan is old. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(((~patient(paul)&quiet(paul)))=>((rich(fred)<~>~brave(fred))))&
((?[X]:((happy(X)<~>~old(X))))=>((~funny(susan)<~>~strong(susan))))&
(![X]:((brave(X)<~>strong(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(tall(X)=>(~rich(X)&happy(X))))&
(![X]:((~funny(X)|strong(X))=>(creati... | old(susan) | [] | null | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both strong and not humble then paul is both not creative and not old and vice versa.
Everyone who is not creative or strong is either kind or not humble.
If someone is either creative or not tall then someone is either humble or rich and... | Fred is humble. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((~creative(X)|strong(X))=>(kind(X)<~>~humble(X))))&
((?[X]:((creative(X)<~>~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
(![X]:((~patient(X)&~quiet(X))=>(~strong(X)|~kind(X))))&
(((wise(mary)<... | humble(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 363259662285253889977920
% SZS output start Proof for 363259662285253889977920
12. (quiet(paul) & ~quiet(paul)) <=> ? [X0] : ~humble(X0) [input p11]
25. ~humble(fred) [input hypothesis]
59. ((quiet(paul) & ~quiet(paul)) | ! [X0] : humble(X0)) & (? [X0] : ~humble(X0) | (~quiet(paul) | quie... | 0 |
Everyone who is not rich or not old is old or wise and vice versa.
Everyone who is generous or not creative is either not brave or wise.
If mary is not tall or not creative then paul is wise or not funny and vice versa.
Everyone who is either curious or humble is both rich and not rich.
Everyone who is both wise and no... | Susan is not generous. | contradiction | (![X]:((~rich(X)|~old(X))<=>(old(X)|wise(X))))&
(![X]:((generous(X)|~creative(X))=>(~brave(X)<~>wise(X))))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X)... | ~generous(susan) | [
"p0",
"p1",
"p3",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1834107005423791516726253
% SZS output start Proof for 1834107005423791516726253
1. ! [X0] : ((~old(X0) | ~rich(X0)) <=> (wise(X0) | old(X0))) [input p0]
2. ! [X0] : ((~creative(X0) | generous(X0)) => (~brave(X0) <~> wise(X0))) [input p1]
4. ! [X0] : ((curious(X0) <~> humble(X0)) => (~ric... | 0 |
If john is either not generous or not humble then someone is either tall or not tall and vice versa.
If alice is either not humble or not wise then susan is both not humble and not happy.
If alice is either not old or not creative then fred is wise.
Everyone who is happy is not tall and vice versa.
If john is both old ... | Lucy is generous. | entailment | (((~generous(john)<~>~humble(john)))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(((~humble(alice)<~>~wise(alice)))=>((~humble(susan)&~happy(susan))))&
(((~old(alice)<~>~creative(alice)))=>(wise(fred)))&
(![X]:(happy(X)<=>~tall(X)))&
(((old(john)&~funny(john)))=>((happy(lucy)&~calm(lucy))))&
((?[X]:((~wise(X)&~tall(X))))=>((brav... | generous(lucy) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7396923244080293708608159
% SZS output start Proof for 7396923244080293708608159
10. ! [X0] : ((rich(X0) & generous(X0)) <=> ~brave(X0)) [input p9]
18. ~brave(lucy) & ~curious(lucy) [input p17]
25. ~generous(lucy) [input hypothesis]
50. ! [X0] : (((rich(X0) & generous(X0)) | brave(X0)) & ... | 0 |
If someone is not brave then mary is either not strong or not wise and vice versa.
Everyone who is either calm or not strong is both old and creative.
Everyone who is not strong or quiet is both quiet and old.
If someone is not rich then lucy is both tall and not kind.
Everyone who is not rich or not quiet is both not ... | Fred is not old. | contradiction | ((?[X]:(~brave(X)))<=>((~strong(mary)<~>~wise(mary))))&
(![X]:((calm(X)<~>~strong(X))=>(old(X)&creative(X))))&
(![X]:((~strong(X)|quiet(X))=>(quiet(X)&old(X))))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
(![X]:((~wise(X)&~curious(X))<=>~happy(X)))&
(![X]:((crea... | ~old(fred) | [
"p2",
"p4",
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7967563016607408030412123
% SZS output start Proof for 7967563016607408030412123
3. ! [X0] : ((quiet(X0) | ~strong(X0)) => (old(X0) & quiet(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (kind(X0) & ~tall(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> kind(X0)) => (creative(X... | 0 |
Everyone who is either not happy or creative is either not tall or happy.
Everyone who is both not calm and not tall is either not generous or old and vice versa.
Everyone who is both not brave and not wise is either not brave or funny and vice versa.
Everyone who is both calm and not funny is both not creative and not... | Fred is not happy. | contradiction | (![X]:((~happy(X)<~>creative(X))=>(~tall(X)<~>happy(X))))&
(![X]:((~calm(X)&~tall(X))<=>(~generous(X)<~>old(X))))&
(![X]:((~brave(X)&~wise(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((calm(X)&~funny(X))<=>(~creative(X)&~humble(X))))&
(((~tall(paul)|~happy(paul)))<=>(?[X]:((quiet(X)&~happy(X)))))&
((?[X]:((~wise(X)&strong(X)... | ~happy(fred) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2973828473321358583970225
% SZS output start Proof for 2973828473321358583970225
3. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> (~brave(X0) <~> funny(X0))) [input p2]
5. (~happy(paul) | ~tall(paul)) <=> ? [X0] : (~happy(X0) & quiet(X0)) [input p4]
7. ~old(fred) <=> ? [X0] : (~brave(X0) & creat... | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either brave or not quiet and vice versa.
If someone is either strong or happy then lucy is tall or generous.
Everyone who is both rich and not kind is creative and vice versa.
Everyone who is not humble is rich and vice versa.
Every... | Mary is not patient. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((tall(lucy)|generous(lucy))))&
(![X]:((rich(X)&~kind(X))<=>creative(X)))&
(![X]:(~humble(X)<=>rich(X)))&
(![X]:(~generous(X)<=>(~humble(X)&old(X))))&
((?[X]:((~tall(X)&humble(X))))=>(?[X]:((... | ~patient(mary) | [
"p4",
"p5",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3241980795967527596497238
% SZS output start Proof for 3241980795967527596497238
5. ! [X0] : (~humble(X0) <=> rich(X0)) [input p4]
6. ! [X0] : (~generous(X0) <=> (old(X0) & ~humble(X0))) [input p5]
14. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [input p13]
24. ~brave(... | 0 |
If susan is either not tall or quiet then someone is creative or quiet and vice versa. Everyone who is not happy is both curious and rich and vice versa. If someone is patient then someone is both happy and strong. Everyone who is either not humble or not creative is both generous and wise. If susan is not rich then so... | Fred is happy. | entailment | (((~tall(susan)<~>quiet(susan)))<=>(?[X]:((creative(X)|quiet(X)))))&
(![X]:(~happy(X)<=>(curious(X)&rich(X))))&
((?[X]:(patient(X)))=>(?[X]:((happy(X)&strong(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(generous(X)&wise(X))))&
((~rich(susan))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
((~tall(mary))<=>((generous(fred)<~>pat... | happy(fred) | [
"p1",
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2250644712133420187812996
% SZS output start Proof for 2250644712133420187812996
2. ! [X0] : (~happy(X0) <=> (rich(X0) & curious(X0))) [input p1]
4. ! [X0] : ((~humble(X0) <~> ~creative(X0)) => (wise(X0) & generous(X0))) [input p3]
8. ! [X0] : ((~curious(X0) & brave(X0)) <=> (~humble(X0) ... | 0 |
If fred is patient or not kind then paul is both not generous and quiet. Everyone who is both funny and not tall is not brave or funny. Everyone who is both not generous and curious is both not patient and not tall. Everyone who is creative is either strong or happy and vice versa. If paul is strong or quiet then someo... | Lucy is not calm. | neutral | (((patient(fred)|~kind(fred)))=>((~generous(paul)&quiet(paul))))&
(![X]:((funny(X)&~tall(X))=>(~brave(X)|funny(X))))&
(![X]:((~generous(X)&curious(X))=>(~patient(X)&~tall(X))))&
(![X]:(creative(X)<=>(strong(X)<~>happy(X))))&
(((strong(paul)|quiet(paul)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~generous(X)&~curious(X... | ~calm(lucy) | [] | null | 0 |
Everyone who is either old or calm is quiet or not tall and vice versa.
If lucy is strong then susan is both curious and patient and vice versa.
Everyone who is either curious or not strong is either not funny or not calm and vice versa.
Everyone who is creative or wise is both brave and not generous and vice versa.
If... | Mary is not quiet. | entailment | (![X]:((old(X)<~>calm(X))<=>(quiet(X)|~tall(X))))&
((strong(lucy))<=>((curious(susan)&patient(susan))))&
(![X]:((curious(X)<~>~strong(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:((creative(X)|wise(X))<=>(brave(X)&~generous(X))))&
(((curious(mary)&~quiet(mary)))=>(?[X]:((old(X)|~strong(X)))))&
(((~tall(lucy)<~>tall(lucy)))<=>... | ~quiet(mary) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6362049252427954165110107
% SZS output start Proof for 6362049252427954165110107
1. ! [X0] : ((old(X0) <~> calm(X0)) <=> (~tall(X0) | quiet(X0))) [input p0]
6. (~tall(lucy) <~> tall(lucy)) <=> (calm(mary) <~> strong(mary)) [input p5]
10. ! [X0] : (strong(X0) <=> (~old(X0) | calm(X0))) [in... | 0 |
Everyone who is funny or not generous is curious. Everyone who is patient or not quiet is either strong or not funny and vice versa. Everyone who is not patient is both creative and not generous and vice versa. Everyone who is not curious or not calm is not curious or creative and vice versa. If someone is either creat... | Mary is not strong. | neutral | (![X]:((funny(X)|~generous(X))=>curious(X)))&
(![X]:((patient(X)|~quiet(X))<=>(strong(X)<~>~funny(X))))&
(![X]:(~patient(X)<=>(creative(X)&~generous(X))))&
(![X]:((~curious(X)|~calm(X))<=>(~curious(X)|creative(X))))&
((?[X]:((creative(X)<~>kind(X))))<=>((generous(susan)|~quiet(susan))))&
(![X]:(old(X)=>(~brave(X)|~happ... | ~strong(mary) | [] | null | 0 |
If someone is not kind then someone is both rich and not happy. If someone is both generous and curious then someone is rich and vice versa. Everyone who is not kind or not wise is not old or not patient. Everyone who is both kind and humble is generous or happy and vice versa. Everyone who is both rich and funny is no... | Alice is not kind. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~happy(X)))))&
((?[X]:((generous(X)&curious(X))))<=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~wise(X))=>(~old(X)|~patient(X))))&
(![X]:((kind(X)&humble(X))<=>(generous(X)|happy(X))))&
(![X]:((rich(X)&funny(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(curious(X)&~brave(X))))... | ~kind(alice) | [
"p3",
"p4",
"p5",
"p7",
"p10",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7276069756467175568199409
% SZS output start Proof for 7276069756467175568199409
4. ! [X0] : ((humble(X0) & kind(X0)) <=> (happy(X0) | generous(X0))) [input p3]
5. ! [X0] : ((funny(X0) & rich(X0)) <=> (wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((wise(X0) <~> ~curious(X0)) => (~brave(X0... | 0 |
Everyone who is either not patient or not happy is not calm. Everyone who is not old or wise is either rich or strong. If someone is both wise and not humble then someone is not generous or happy. Everyone who is not rich or not kind is either happy or not funny and vice versa. If someone is old then alice is not funny... | John is not strong. | entailment | (![X]:((~patient(X)<~>~happy(X))=>~calm(X)))&
(![X]:((~old(X)|wise(X))=>(rich(X)<~>strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(happy(X)<~>~funny(X))))&
((?[X]:(old(X)))=>((~funny(alice)|old(alice))))&
(![X]:((~rich(X)&~curious(X))<=>(~kind(X)&generous(X... | ~strong(john) | [
"p1",
"p6",
"p10",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6477417069840646957861240
% SZS output start Proof for 6477417069840646957861240
2. ! [X0] : ((wise(X0) | ~old(X0)) => (rich(X0) <~> strong(X0))) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (old(X0) & kind(X0))) [input p6]
11. ! [X0] : ((creative(X0) | old(X0)) => (~quiet(X0)... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Fred is not brave. | contradiction | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | ~brave(fred) | [
"p1",
"p2",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5106388536619480044644607
% SZS output start Proof for 5106388536619480044644607
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => (~wise(X0) & tall(X0))) [input p2]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (funny(X... | 0 |
Everyone who is either not kind or not quiet is both patient and old and vice versa.
Everyone who is strong or kind is not curious.
If someone is not wise or kind then someone is either not curious or not happy.
Everyone who is not patient or not wise is patient or creative and vice versa.
If lucy is either funny or cr... | Alice is creative. | entailment | (![X]:((~kind(X)<~>~quiet(X))<=>(patient(X)&old(X))))&
(![X]:((strong(X)|kind(X))=>~curious(X)))&
((?[X]:((~wise(X)|kind(X))))=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:((~patient(X)|~wise(X))<=>(patient(X)|creative(X))))&
(((funny(lucy)<~>creative(lucy)))<=>((~rich(susan)<~>humble(susan))))&
(![X]:(wise(X)<=>(~funny... | creative(alice) | [
"p0",
"p3",
"p7",
"p8",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 497369553625084100451752
% SZS output start Proof for 497369553625084100451752
1. ! [X0] : ((~kind(X0) <~> ~quiet(X0)) <=> (old(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> (creative(X0) | patient(X0))) [input p3]
8. ! [X0] : (quiet(X0) <=> kind(X0)) [input p... | 0 |
Everyone who is both not patient and curious is not curious or creative and vice versa.
If someone is both not brave and calm then john is happy and vice versa.
Everyone who is not creative or not tall is either not humble or happy and vice versa.
If someone is not quiet or tall then someone is old or strong.
If someon... | Susan is not generous. | neutral | (![X]:((~patient(X)&curious(X))<=>(~curious(X)|creative(X))))&
((?[X]:((~brave(X)&calm(X))))<=>(happy(john)))&
(![X]:((~creative(X)|~tall(X))<=>(~humble(X)<~>happy(X))))&
((?[X]:((~quiet(X)|tall(X))))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:((~curious(X)<~>~generous(X))))=>((calm(paul)<~>~old(paul))))&
(![X]:((calm(X)<~>... | ~generous(susan) | [] | null | 0 |
Everyone who is not funny is not wise.
If someone is both tall and not old then someone is either rich or not quiet.
If fred is wise then susan is not tall.
Everyone who is either quiet or happy is not patient.
If someone is not humble then fred is either not creative or wise and vice versa.
Everyone who is either not ... | Alice is not old. | contradiction | (![X]:(~funny(X)=>~wise(X)))&
((?[X]:((tall(X)&~old(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((wise(fred))=>(~tall(susan)))&
(![X]:((quiet(X)<~>happy(X))=>~patient(X)))&
((?[X]:(~humble(X)))<=>((~creative(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>creative(X))=>(~brave(X)|old(X))))&
((?[X]:(~happy(X)))<=>(creative(mary)... | ~old(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8834895703379564763876416
% SZS output start Proof for 8834895703379564763876416
11. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> old(X0)) [input p10]
25. ~old(alice) [input hypothesis]
60. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | ~old(X0)) & (old(X0) | ((~humb... | 0 |
Everyone who is strong or not rich is both quiet and happy.
Everyone who is not creative is not calm or calm and vice versa.
Everyone who is not quiet or not generous is either not brave or humble and vice versa.
Everyone who is not humble or not strong is not old or not curious and vice versa.
If mary is either curiou... | Susan is happy. | entailment | (![X]:((strong(X)|~rich(X))=>(quiet(X)&happy(X))))&
(![X]:(~creative(X)<=>(~calm(X)|calm(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~brave(X)<~>humble(X))))&
(![X]:((~humble(X)|~strong(X))<=>(~old(X)|~curious(X))))&
(((curious(mary)<~>brave(mary)))<=>(?[X]:(old(X))))&
((?[X]:((~old(X)&kind(X))))=>((curious(mary)|happy(m... | happy(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3471814537602341161519155
% SZS output start Proof for 3471814537602341161519155
1. ! [X0] : ((~rich(X0) | strong(X0)) => (happy(X0) & quiet(X0))) [input p0]
11. ! [X0] : ((wise(X0) | rich(X0)) <=> (happy(X0) & strong(X0))) [input p10]
23. ~happy(susan) [input hypothesis]
28. ! [X0] : ((h... | 0 |
If someone is not old or patient then fred is wise or not rich.
Everyone who is both tall and patient is both not generous and humble and vice versa.
Everyone who is tall is both not happy and creative and vice versa.
Everyone who is quiet is curious and vice versa.
Everyone who is both funny and quiet is either tall o... | Paul is patient. | contradiction | ((?[X]:((~old(X)|patient(X))))=>((wise(fred)|~rich(fred))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&humble(X))))&
(![X]:(tall(X)<=>(~happy(X)&creative(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((funny(X)&quiet(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((happy(X)<~>tall(X)))))&
(![... | patient(paul) | [
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3746317723037565751422137
% SZS output start Proof for 3746317723037565751422137
3. ! [X0] : (tall(X0) <=> (creative(X0) & ~happy(X0))) [input p2]
10. ? [X0] : creative(X0) => (~brave(paul) | happy(paul)) [input p9]
12. ! [X0] : ((~brave(X0) & creative(X0)) <=> (~wise(X0) & ~patient(X0)))... | 0 |
If someone is old then mary is either rich or quiet.
Everyone who is not calm is patient and vice versa.
If john is curious or not wise then someone is either patient or rich and vice versa.
Everyone who is both not old and not calm is not quiet.
If susan is both happy and humble then someone is calm or funny.
If mary ... | Paul is old. | entailment | ((?[X]:(old(X)))=>((rich(mary)<~>quiet(mary))))&
(![X]:(~calm(X)<=>patient(X)))&
(((curious(john)|~wise(john)))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~old(X)&~calm(X))=>~quiet(X)))&
(((happy(susan)&humble(susan)))=>(?[X]:((calm(X)|funny(X)))))&
(((old(mary)&patient(mary)))=>(?[X]:((happy(X)|quiet(X)))))&
(![X]:(o... | old(paul) | [
"p1",
"p3",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9164434775487433630571667
% SZS output start Proof for 9164434775487433630571667
2. ! [X0] : (~calm(X0) <=> patient(X0)) [input p1]
4. ! [X0] : ((~calm(X0) & ~old(X0)) => ~quiet(X0)) [input p3]
10. ? [X0] : (~old(X0) & brave(X0)) => ? [X0] : (~patient(X0) <~> calm(X0)) [input p9]
12. ! [X... | 0 |
If susan is both old and not humble then someone is wise.
Everyone who is both not rich and not kind is funny or happy and vice versa.
Everyone who is either tall or not quiet is both not generous and tall and vice versa.
Everyone who is patient or curious is patient and vice versa.
Everyone who is either strong or pat... | Paul is not wise. | contradiction | (((old(susan)&~humble(susan)))=>(?[X]:(wise(X))))&
(![X]:((~rich(X)&~kind(X))<=>(funny(X)|happy(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~generous(X)&tall(X))))&
(![X]:((patient(X)|curious(X))<=>patient(X)))&
(![X]:((strong(X)<~>patient(X))=>(~tall(X)&~old(X))))&
(((generous(paul)<~>humble(paul)))=>((~creative(mary)&calm... | ~wise(paul) | [
"p1",
"p2",
"p6",
"p9",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 710339922067624367220765
% SZS output start Proof for 710339922067624367220765
2. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (happy(X0) | funny(X0))) [input p1]
3. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (tall(X0) & ~generous(X0))) [input p2]
7. ! [X0] : ((~wise(X0) & tall(X0)) <=> strong(X0))... | 0 |
If mary is not creative or humble then someone is not humble and vice versa. If alice is not calm or strong then someone is either not creative or not quiet and vice versa. Everyone who is both not patient and not creative is either not brave or quiet. Everyone who is either curious or not brave is either happy or brav... | Susan is not happy. | contradiction | (((~creative(mary)|humble(mary)))<=>(?[X]:(~humble(X))))&
(((~calm(alice)|strong(alice)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((~patient(X)&~creative(X))=>(~brave(X)<~>quiet(X))))&
(![X]:((curious(X)<~>~brave(X))=>(happy(X)<~>brave(X))))&
(![X]:((~old(X)<~>~happy(X))=>(brave(X)&~generous(X))))&
(![X]:((~old(X... | ~happy(susan) | [
"p4",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8286627799419743408581027
% SZS output start Proof for 8286627799419743408581027
5. ! [X0] : ((~old(X0) <~> ~happy(X0)) => (~generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) | ~old(X0)) => happy(X0)) [input p5]
16. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> generous(X0)) [inp... | 0 |
Everyone who is strong is strong or not patient.
If someone is happy then someone is not happy and vice versa.
Everyone who is not patient is both humble and funny and vice versa.
Everyone who is wise is either not tall or happy and vice versa.
If someone is not strong or not calm then fred is either not quiet or funny... | Lucy is not quiet. | neutral | (![X]:(strong(X)=>(strong(X)|~patient(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~happy(X))))&
(![X]:(~patient(X)<=>(humble(X)&funny(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((~strong(X)|~calm(X))))<=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((kind(X)&funny... | ~quiet(lucy) | [] | null | 0 |
If someone is quiet then paul is both not quiet and patient and vice versa.
If someone is both old and not quiet then someone is either not wise or humble and vice versa.
Everyone who is either happy or not happy is both not funny and strong.
If someone is generous or brave then someone is both funny and brave.
If some... | Lucy is not patient. | neutral | ((?[X]:(quiet(X)))<=>((~quiet(paul)&patient(paul))))&
((?[X]:((old(X)&~quiet(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((happy(X)<~>~happy(X))=>(~funny(X)&strong(X))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:((funny(X)&brave(X)))))&
((?[X]:((patient(X)<~>humble(X))))=>((curious(mary)|funny(mary))))&
(![X]:((funn... | ~patient(lucy) | [] | null | 0 |
Everyone who is wise is not old.
Everyone who is both not patient and funny is not patient or not quiet and vice versa.
Everyone who is either not funny or not humble is not old and vice versa.
Everyone who is either generous or not strong is curious or wise.
Everyone who is not tall or not kind is either funny or stro... | Lucy is old. | entailment | (![X]:(wise(X)=>~old(X)))&
(![X]:((~patient(X)&funny(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((~funny(X)<~>~humble(X))<=>~old(X)))&
(![X]:((generous(X)<~>~strong(X))=>(curious(X)|wise(X))))&
(![X]:((~tall(X)|~kind(X))=>(funny(X)<~>strong(X))))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funn... | old(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7119098144146538323166928
% SZS output start Proof for 7119098144146538323166928
2. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : ((~kind(X0) | ~tall(X0)) => (funny(X0) <~> st... | 0 |
Everyone who is not brave or rich is not strong or brave and vice versa. If someone is not humble then someone is both not old and strong and vice versa. Everyone who is tall is funny or not creative. If someone is not quiet or not wise then fred is both not patient and creative. If susan is either kind or not quiet th... | Fred is not rich. | contradiction | (![X]:((~brave(X)|rich(X))<=>(~strong(X)|brave(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(tall(X)=>(funny(X)|~creative(X))))&
((?[X]:((~quiet(X)|~wise(X))))=>((~patient(fred)&creative(fred))))&
(((kind(susan)<~>~quiet(susan)))=>(?[X]:((~curious(X)|~generous(X)))))&
(![X]:(generous(X)=>humble(X)... | ~rich(fred) | [
"p0",
"p3",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7400246777835995574878470
% SZS output start Proof for 7400246777835995574878470
1. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (brave(X0) | ~strong(X0))) [input p0]
4. ? [X0] : (~wise(X0) | ~quiet(X0)) => (creative(fred) & ~patient(fred)) [input p3]
10. ! [X0] : ((~wise(X0) & kind(X0)) <=> ~st... | 0 |
Everyone who is tall is not patient.
Everyone who is brave is both tall and not funny and vice versa.
If someone is either not creative or not generous then someone is either not funny or not old.
Everyone who is not wise or happy is not rich and vice versa.
Everyone who is both humble and brave is not tall.
Everyone w... | Mary is quiet. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~creative(X)<~>~generous(X))))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![... | quiet(mary) | [
"p1",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2309792874687110446564755
% SZS output start Proof for 2309792874687110446564755
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((quie... | 0 |
Everyone who is wise is tall or not brave and vice versa.
Everyone who is generous or tall is strong or kind and vice versa.
If someone is not funny or kind then someone is not rich.
If john is both not tall and not brave then john is not old and vice versa.
Everyone who is both not rich and not tall is not tall or cal... | John is curious. | contradiction | (![X]:(wise(X)<=>(tall(X)|~brave(X))))&
(![X]:((generous(X)|tall(X))<=>(strong(X)|kind(X))))&
((?[X]:((~funny(X)|kind(X))))=>(?[X]:(~rich(X))))&
(((~tall(john)&~brave(john)))<=>(~old(john)))&
(![X]:((~rich(X)&~tall(X))<=>(~tall(X)|calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((curious(X)|~patient(X)))))&
(((funny(mary)<~>pat... | curious(john) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7260279969907350696913146
% SZS output start Proof for 7260279969907350696913146
2. ! [X0] : ((tall(X0) | generous(X0)) <=> (kind(X0) | strong(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [input p4]
6. ? [X0] : ~tall(X0) <=> ? [X0] : (~patient(X0) | cu... | 0 |
Everyone who is both not funny and not old is brave and vice versa. Everyone who is both kind and strong is both rich and quiet and vice versa. If alice is both not happy and old then john is brave. If lucy is either creative or calm then john is kind or generous. Everyone who is both not happy and not tall is humble o... | John is wise. | neutral | (![X]:((~funny(X)&~old(X))<=>brave(X)))&
(![X]:((kind(X)&strong(X))<=>(rich(X)&quiet(X))))&
(((~happy(alice)&old(alice)))=>(brave(john)))&
(((creative(lucy)<~>calm(lucy)))=>((kind(john)|generous(john))))&
(![X]:((~happy(X)&~tall(X))<=>(humble(X)|~funny(X))))&
(![X]:((~happy(X)<~>~curious(X))=>(~brave(X)&kind(X))))&
(((... | wise(john) | [] | null | 0 |
If someone is either not humble or calm then fred is creative and vice versa.
Everyone who is both not quiet and not wise is both not humble and strong.
If john is either not happy or wise then fred is either not calm or not happy.
If fred is either not happy or rich then someone is both not wise and not strong and vic... | Fred is creative. | entailment | ((?[X]:((~humble(X)<~>calm(X))))<=>(creative(fred)))&
(![X]:((~quiet(X)&~wise(X))=>(~humble(X)&strong(X))))&
(((~happy(john)<~>wise(john)))=>((~calm(fred)<~>~happy(fred))))&
(((~happy(fred)<~>rich(fred)))<=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:(rich(X)<=>(~curious(X)&~rich(X))))&
(((~wise(mary)|~curious(mary)))<=>((o... | creative(fred) | [
"p0",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5014666210305649798334866
% SZS output start Proof for 5014666210305649798334866
1. ? [X0] : (~humble(X0) <~> calm(X0)) <=> creative(fred) [input p0]
7. ! [X0] : ((patient(X0) | ~humble(X0)) => (humble(X0) & ~patient(X0))) [input p6]
8. ! [X0] : (kind(X0) => ~kind(X0)) [input p7]
11. ! [X... | 0 |
Everyone who is either not funny or wise is either not old or not generous and vice versa.
Everyone who is both patient and strong is humble and vice versa.
If someone is either tall or not happy then alice is both creative and brave and vice versa.
If someone is not strong or not funny then susan is either not humble ... | Susan is curious. | entailment | (![X]:((~funny(X)<~>wise(X))<=>(~old(X)<~>~generous(X))))&
(![X]:((patient(X)&strong(X))<=>humble(X)))&
((?[X]:((tall(X)<~>~happy(X))))<=>((creative(alice)&brave(alice))))&
((?[X]:((~strong(X)|~funny(X))))=>((~humble(susan)<~>~curious(susan))))&
(![X]:(~humble(X)=>(~funny(X)<~>creative(X))))&
(((wise(alice)<~>~creative... | curious(susan) | [
"p1",
"p3",
"p12",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2615253859594021705581055
% SZS output start Proof for 2615253859594021705581055
2. ! [X0] : ((strong(X0) & patient(X0)) <=> humble(X0)) [input p1]
4. ? [X0] : (~funny(X0) | ~strong(X0)) => (~humble(susan) <~> ~curious(susan)) [input p3]
13. ! [X0] : (~happy(X0) <=> patient(X0)) [input p1... | 0 |
Everyone who is both not happy and brave is either brave or not humble and vice versa.
Everyone who is either not humble or old is funny or kind.
Everyone who is both patient and generous is either not kind or strong and vice versa.
If mary is either quiet or not wise then someone is not happy or tall.
Everyone who is ... | Mary is not wise. | neutral | (![X]:((~happy(X)&brave(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>old(X))=>(funny(X)|kind(X))))&
(![X]:((patient(X)&generous(X))<=>(~kind(X)<~>strong(X))))&
(((quiet(mary)<~>~wise(mary)))=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((~kind(X)<~>creative(X))<=>(~wise(X)|old(X))))&
(![X]:((calm(X)|~humble(X))=>(hap... | ~wise(mary) | [] | null | 0 |
Everyone who is not rich or tall is rich and vice versa.
If paul is both creative and tall then someone is brave or tall and vice versa.
Everyone who is both not rich and generous is curious or not patient and vice versa.
Everyone who is either old or not brave is either not strong or wise and vice versa.
Everyone who ... | Susan is rich. | entailment | (![X]:((~rich(X)|tall(X))<=>rich(X)))&
(((creative(paul)&tall(paul)))<=>(?[X]:((brave(X)|tall(X)))))&
(![X]:((~rich(X)&generous(X))<=>(curious(X)|~patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((humble(X)&tall(X))=>(~generous(X)&~creative(X))))&
(![X]:((happy(X)|~rich(X))=>~calm(X)))&
(![... | rich(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 255310531013176096744288
% SZS output start Proof for 255310531013176096744288
1. ! [X0] : ((tall(X0) | ~rich(X0)) <=> rich(X0)) [input p0]
21. ~rich(susan) [input hypothesis]
34. ! [X0] : (((tall(X0) | ~rich(X0)) | ~rich(X0)) & (rich(X0) | (~tall(X0) & rich(X0)))) [nnf transformation 1]
... | 0 |
Everyone who is quiet is not curious or happy. If someone is generous or not wise then alice is not kind. If john is patient or not rich then mary is not patient. If someone is patient or not happy then mary is both funny and not old and vice versa. Everyone who is both not happy and not patient is curious or not patie... | Susan is rich. | neutral | (![X]:(quiet(X)=>(~curious(X)|happy(X))))&
((?[X]:((generous(X)|~wise(X))))=>(~kind(alice)))&
(((patient(john)|~rich(john)))=>(~patient(mary)))&
((?[X]:((patient(X)|~happy(X))))<=>((funny(mary)&~old(mary))))&
(![X]:((~happy(X)&~patient(X))=>(curious(X)|~patient(X))))&
(((calm(susan)|strong(susan)))=>(?[X]:((~curious(X)... | rich(susan) | [] | null | 0 |
If someone is both not funny and not generous then paul is either not rich or old. If alice is both not funny and strong then susan is patient or not calm. If someone is either not wise or not brave then someone is strong or curious. If someone is creative or patient then alice is generous and vice versa. Everyone who ... | Susan is calm. | neutral | ((?[X]:((~funny(X)&~generous(X))))=>((~rich(paul)<~>old(paul))))&
(((~funny(alice)&strong(alice)))=>((patient(susan)|~calm(susan))))&
((?[X]:((~wise(X)<~>~brave(X))))=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((creative(X)|patient(X))))<=>(generous(alice)))&
(![X]:(strong(X)<=>(patient(X)|brave(X))))&
(![X]:(~funny(X)=... | calm(susan) | [] | null | 0 |
Everyone who is not rich or humble is old or not old.
Everyone who is both not wise and calm is both generous and patient.
If someone is not patient or humble then someone is either kind or not kind.
If mary is both not strong and not quiet then someone is both not curious and not old and vice versa.
If someone is kind... | Mary is patient. | neutral | (![X]:((~rich(X)|humble(X))=>(old(X)|~old(X))))&
(![X]:((~wise(X)&calm(X))=>(generous(X)&patient(X))))&
((?[X]:((~patient(X)|humble(X))))=>(?[X]:((kind(X)<~>~kind(X)))))&
(((~strong(mary)&~quiet(mary)))<=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((kind(X)|~calm(X))))=>(~tall(mary)))&
(![X]:((~happy(X)|rich(X))=>quiet(X)... | patient(mary) | [] | null | 0 |
If paul is both humble and wise then mary is not quiet.
Everyone who is not generous or not creative is old.
If lucy is either old or funny then paul is not happy.
Everyone who is both not brave and not quiet is generous or not funny and vice versa.
Everyone who is both calm and creative is humble and vice versa.
Every... | Susan is not funny. | neutral | (((humble(paul)&wise(paul)))=>(~quiet(mary)))&
(![X]:((~generous(X)|~creative(X))=>old(X)))&
(((old(lucy)<~>funny(lucy)))=>(~happy(paul)))&
(![X]:((~brave(X)&~quiet(X))<=>(generous(X)|~funny(X))))&
(![X]:((calm(X)&creative(X))<=>humble(X)))&
(![X]:((~happy(X)|funny(X))<=>~patient(X)))&
((~quiet(mary))=>(?[X]:(~brave(X)... | ~funny(susan) | [] | null | 0 |
If someone is not generous or calm then paul is not strong.
Everyone who is both humble and patient is either not tall or happy.
If someone is not generous then john is generous and vice versa.
Everyone who is happy or creative is not patient or quiet and vice versa.
Everyone who is both calm and quiet is not kind or n... | John is creative. | entailment | ((?[X]:((~generous(X)|calm(X))))=>(~strong(paul)))&
(![X]:((humble(X)&patient(X))=>(~tall(X)<~>happy(X))))&
((?[X]:(~generous(X)))<=>(generous(john)))&
(![X]:((happy(X)|creative(X))<=>(~patient(X)|quiet(X))))&
(![X]:((calm(X)&quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~patient(X)<~>~happy(X))<=>~quiet(X)))&
(![X]:((kind... | creative(john) | [
"p3",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 151878404758558557457161
% SZS output start Proof for 151878404758558557457161
4. ! [X0] : ((creative(X0) | happy(X0)) <=> (quiet(X0) | ~patient(X0))) [input p3]
9. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> (calm(X0) | patient(X0))) [input p8]
13. ! [X0] : ((rich(X0) | ~tall(X0)) => ~patien... | 0 |
Everyone who is quiet is either creative or not calm.
If susan is not wise or not kind then john is both not old and not quiet and vice versa.
If someone is both wise and strong then someone is both not brave and not quiet.
If someone is both not wise and not funny then mary is both tall and not old and vice versa.
Eve... | John is humble. | contradiction | (![X]:(quiet(X)=>(creative(X)<~>~calm(X))))&
(((~wise(susan)|~kind(susan)))<=>((~old(john)&~quiet(john))))&
((?[X]:((wise(X)&strong(X))))=>(?[X]:((~brave(X)&~quiet(X)))))&
((?[X]:((~wise(X)&~funny(X))))<=>((tall(mary)&~old(mary))))&
(![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))... | humble(john) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1670300060641950100955242
% SZS output start Proof for 1670300060641950100955242
1. ! [X0] : (quiet(X0) => (creative(X0) <~> ~calm(X0))) [input p0]
5. ! [X0] : ((~old(X0) | tall(X0)) => (brave(X0) & calm(X0))) [input p4]
7. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p6]
8. ! [... | 0 |
Everyone who is not humble or old is both not strong and calm and vice versa. Everyone who is both brave and creative is either happy or not humble. Everyone who is not generous is both generous and patient and vice versa. If john is not calm or not funny then mary is patient and vice versa. If susan is both kind and n... | Mary is not strong. | entailment | (![X]:((~humble(X)|old(X))<=>(~strong(X)&calm(X))))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&
(((~calm(john)|~funny(john)))<=>(patient(mary)))&
(((kind(susan)&~rich(susan)))<=>(?[X]:((wise(X)<~>calm(X)))))&
((?[X]:(~humble(X)))<=>(~patient(susan)))&
(![... | ~strong(mary) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p9",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 44505514495896387090883
% SZS output start Proof for 44505514495896387090883
1. ! [X0] : ((old(X0) | ~humble(X0)) <=> (calm(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : (~generous(X0) <=> (patient(X0) & gener... | 0 |
Everyone who is either not kind or not old is not creative or not generous.
Everyone who is funny or generous is either calm or creative.
If someone is either not brave or old then susan is either calm or not creative.
If someone is either calm or kind then fred is either quiet or not strong and vice versa.
Everyone wh... | Paul is not generous. | neutral | (![X]:((~kind(X)<~>~old(X))=>(~creative(X)|~generous(X))))&
(![X]:((funny(X)|generous(X))=>(calm(X)<~>creative(X))))&
((?[X]:((~brave(X)<~>old(X))))=>((calm(susan)<~>~creative(susan))))&
((?[X]:((calm(X)<~>kind(X))))<=>((quiet(fred)<~>~strong(fred))))&
(![X]:((~humble(X)&quiet(X))=>strong(X)))&
((?[X]:((~creative(X)|fu... | ~generous(paul) | [] | null | 0 |
Everyone who is not brave is quiet and vice versa. Everyone who is funny or not rich is not curious or not happy and vice versa. If someone is either generous or not kind then alice is both not tall and old and vice versa. If fred is both not happy and quiet then someone is not happy and vice versa. Everyone who is bot... | Fred is funny. | neutral | (![X]:(~brave(X)<=>quiet(X)))&
(![X]:((funny(X)|~rich(X))<=>(~curious(X)|~happy(X))))&
((?[X]:((generous(X)<~>~kind(X))))<=>((~tall(alice)&old(alice))))&
(((~happy(fred)&quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)&~humble(X))<=>(quiet(X)|generous(X))))&
(![X]:((strong(X)|~patient(X))=>(~brave(X)|humble(X))))&... | funny(fred) | [] | null | 0 |
Everyone who is both not quiet and quiet is both tall and rich and vice versa. If someone is either not old or not rich then john is either kind or not generous and vice versa. If john is either not rich or not funny then someone is creative or old and vice versa. Everyone who is not curious or creative is both kind an... | Alice is kind. | contradiction | (![X]:((~quiet(X)&quiet(X))<=>(tall(X)&rich(X))))&
((?[X]:((~old(X)<~>~rich(X))))<=>((kind(john)<~>~generous(john))))&
(((~rich(john)<~>~funny(john)))<=>(?[X]:((creative(X)|old(X)))))&
(![X]:((~curious(X)|creative(X))<=>(kind(X)&~kind(X))))&
((?[X]:((strong(X)<~>generous(X))))=>((curious(paul)&~humble(paul))))&
(![X]:(... | kind(alice) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 681733292461380340697784
% SZS output start Proof for 681733292461380340697784
6. ! [X0] : (generous(X0) <=> (~kind(X0) & ~rich(X0))) [input p5]
10. ! [X0] : ((generous(X0) <~> kind(X0)) <=> (humble(X0) & generous(X0))) [input p9]
23. kind(alice) [input hypothesis]
49. ! [X0] : ((generous... | 0 |
Everyone who is both rich and wise is both not wise and quiet. If susan is both not creative and funny then someone is strong. Everyone who is not rich or not generous is not happy or not old. If paul is both brave and not kind then paul is not kind. Everyone who is both not generous and funny is generous or not brave ... | Susan is not patient. | contradiction | (![X]:((rich(X)&wise(X))=>(~wise(X)&quiet(X))))&
(((~creative(susan)&funny(susan)))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble... | ~patient(susan) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5871956987034416171105321
% SZS output start Proof for 5871956987034416171105321
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~old(X0) | ~funny(X0))) [input p6]
9. ? [X0] : (~patient(X0) | humble(X0)) => ? [X0] : (~old(X0) & happy(X0)) [input p8]
21. ~patient(susan) [input hypothesis]
23. ? [... | 0 |
Everyone who is both not strong and not rich is not happy or not strong.
If someone is both quiet and not strong then alice is both not old and brave.
Everyone who is not funny or not humble is both rich and brave and vice versa.
If someone is not calm or old then susan is either not creative or not calm and vice versa... | Lucy is not rich. | contradiction | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|~strong(X))))&
((?[X]:((quiet(X)&~strong(X))))=>((~old(alice)&brave(alice))))&
(![X]:((~funny(X)|~humble(X))<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~strong(john))))&
((?[X]:(kin... | ~rich(lucy) | [
"p2",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 331068876430609410814679
% SZS output start Proof for 331068876430609410814679
3. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (brave(X0) & rich(X0))) [input p2]
8. ? [X0] : (old(X0) | curious(X0)) <=> (rich(lucy) & ~old(lucy)) [input p7]
10. ? [X0] : ~generous(X0) <=> (~happy(mary) & curious... | 0 |
Everyone who is either not calm or creative is old or wise.
Everyone who is humble or not humble is kind.
Everyone who is either not creative or not funny is not brave.
If mary is both not generous and brave then someone is brave or not calm and vice versa.
Everyone who is either generous or not generous is both not ha... | Paul is not humble. | contradiction | (![X]:((~calm(X)<~>creative(X))=>(old(X)|wise(X))))&
(![X]:((humble(X)|~humble(X))=>kind(X)))&
(![X]:((~creative(X)<~>~funny(X))=>~brave(X)))&
(((~generous(mary)&brave(mary)))<=>(?[X]:((brave(X)|~calm(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>(~happy(X)&~quiet(X))))&
(![X]:((curious(X)<~>~quiet(X))=>happy(X)))&
(![... | ~humble(paul) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6504449421108201142813441
% SZS output start Proof for 6504449421108201142813441
5. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (~quiet(X0) & ~happy(X0))) [input p4]
11. ! [X0] : (~funny(X0) => humble(X0)) [input p10]
14. ! [X0] : (funny(X0) <=> (~happy(X0) & humble(X0))) [input p13]
2... | 0 |
Everyone who is either happy or calm is both not happy and not funny.
If someone is old or not brave then paul is not funny and vice versa.
If paul is not strong or curious then mary is either not kind or creative and vice versa.
Everyone who is either not generous or not rich is either happy or rich.
Everyone who is b... | Susan is rich. | entailment | (![X]:((happy(X)<~>calm(X))=>(~happy(X)&~funny(X))))&
((?[X]:((old(X)|~brave(X))))<=>(~funny(paul)))&
(((~strong(paul)|curious(paul)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((~generous(X)<~>~rich(X))=>(happy(X)<~>rich(X))))&
(![X]:((~strong(X)&~patient(X))<=>quiet(X)))&
((?[X]:((brave(X)&~rich(X))))<=>(?[X]:((~str... | rich(susan) | [
"p3",
"p4",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3643830881270360591298545
% SZS output start Proof for 3643830881270360591298545
4. ! [X0] : ((~generous(X0) <~> ~rich(X0)) => (happy(X0) <~> rich(X0))) [input p3]
5. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> quiet(X0)) [input p4]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) => quiet(X0)... | 0 |
If lucy is either curious or generous then someone is not tall.
If paul is quiet or not kind then someone is either wise or not kind and vice versa.
Everyone who is both patient and not wise is strong.
Everyone who is both rich and not quiet is not old or creative and vice versa.
Everyone who is both happy and not kind... | Fred is not kind. | contradiction | (((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X)|creative(X))))&
(![X]:((happy(X)&~kind(X))<=>(~humble(X)|~tall(X))))&
(![X]:((calm(X)&tall(X))<=>(humble(X)|old(X))))&
... | ~kind(fred) | [
"p3",
"p7",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3831249767706992416527718
% SZS output start Proof for 3831249767706992416527718
4. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (creative(X0) | ~old(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> (~rich(X0) & strong(X0))) [input p7]
9. ! [X0] : (curious(X0) => (~curious(X0) & rich(X... | 0 |
Everyone who is either not creative or not wise is either not calm or not generous and vice versa. If mary is old or not calm then lucy is not funny. Everyone who is either funny or tall is either not wise or not kind and vice versa. Everyone who is either not kind or not brave is either creative or not old. Everyone w... | Paul is rich. | neutral | (![X]:((~creative(X)<~>~wise(X))<=>(~calm(X)<~>~generous(X))))&
(((old(mary)|~calm(mary)))=>(~funny(lucy)))&
(![X]:((funny(X)<~>tall(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:((~kind(X)<~>~brave(X))=>(creative(X)<~>~old(X))))&
(![X]:((calm(X)&~funny(X))=>(~quiet(X)&~generous(X))))&
((?[X]:(~wise(X)))<=>(~patient(john)))&
(!... | rich(paul) | [] | null | 0 |
If someone is not quiet or not creative then someone is not rich. Everyone who is both strong and creative is not quiet and vice versa. If someone is both not strong and funny then paul is either humble or not tall and vice versa. Everyone who is kind is not funny and vice versa. Everyone who is old is either calm or s... | Fred is tall. | neutral | ((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:(~rich(X))))&
(![X]:((strong(X)&creative(X))<=>~quiet(X)))&
((?[X]:((~strong(X)&funny(X))))<=>((humble(paul)<~>~tall(paul))))&
(![X]:(kind(X)<=>~funny(X)))&
(![X]:(old(X)=>(calm(X)<~>strong(X))))&
((?[X]:(~wise(X)))=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|~creative(X))=>(calm(X... | tall(fred) | [] | null | 0 |
Everyone who is not tall or not humble is happy or calm and vice versa. Everyone who is rich is not kind. If mary is either not generous or rich then someone is kind or not creative. If someone is both not quiet and rich then alice is both tall and kind and vice versa. Everyone who is either funny or strong is either h... | Susan is generous. | neutral | (![X]:((~tall(X)|~humble(X))<=>(happy(X)|calm(X))))&
(![X]:(rich(X)=>~kind(X)))&
(((~generous(mary)<~>rich(mary)))=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((~quiet(X)&rich(X))))<=>((tall(alice)&kind(alice))))&
(![X]:((funny(X)<~>strong(X))<=>(happy(X)<~>~generous(X))))&
(((creative(john)|~happy(john)))<=>(wise(mary))... | generous(susan) | [] | null | 0 |
Everyone who is curious or not kind is both not humble and not happy and vice versa.
Everyone who is both brave and not old is either calm or not curious and vice versa.
If someone is either not creative or tall then mary is generous.
Everyone who is either generous or not generous is humble or not kind.
Everyone who i... | Paul is rich. | entailment | (![X]:((curious(X)|~kind(X))<=>(~humble(X)&~happy(X))))&
(![X]:((brave(X)&~old(X))<=>(calm(X)<~>~curious(X))))&
((?[X]:((~creative(X)<~>tall(X))))=>(generous(mary)))&
(![X]:((generous(X)<~>~generous(X))=>(humble(X)|~kind(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>t... | rich(paul) | [
"p0",
"p5",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4194406725524788614437463
% SZS output start Proof for 4194406725524788614437463
1. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~happy(X0) & ~humble(X0))) [input p0]
6. ! [X0] : (calm(X0) => (~strong(X0) & calm(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(... | 0 |
Everyone who is either brave or happy is either quiet or not brave.
Everyone who is not humble or not wise is both not funny and tall.
Everyone who is either not creative or not quiet is both brave and quiet and vice versa.
Everyone who is either happy or creative is both patient and generous.
If mary is not tall or no... | Paul is not happy. | entailment | (![X]:((brave(X)<~>happy(X))=>(quiet(X)<~>~brave(X))))&
(![X]:((~humble(X)|~wise(X))=>(~funny(X)&tall(X))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(brave(X)&quiet(X))))&
(![X]:((happy(X)<~>creative(X))=>(patient(X)&generous(X))))&
(((~tall(mary)|~wise(mary)))<=>((old(mary)|funny(mary))))&
((?[X]:(~old(X)))=>((curious(ali... | ~happy(paul) | [
"p1",
"p3",
"p10",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6982854688592143497173381
% SZS output start Proof for 6982854688592143497173381
2. ! [X0] : ((~wise(X0) | ~humble(X0)) => (tall(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((happy(X0) <~> creative(X0)) => (generous(X0) & patient(X0))) [input p3]
11. ! [X0] : (~wise(X0) <=> (~funny(X0) <~> ... | 0 |
If john is calm then someone is both strong and humble.
Everyone who is both not generous and patient is brave and vice versa.
If someone is either not strong or not rich then someone is not kind and vice versa.
Everyone who is rich is either brave or curious.
If fred is either not patient or not brave then someone is ... | Fred is funny. | entailment | ((calm(john))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:((~generous(X)&patient(X))<=>brave(X)))&
((?[X]:((~strong(X)<~>~rich(X))))<=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(brave(X)<~>curious(X))))&
(((~patient(fred)<~>~brave(fred)))<=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:(~wise(X)<=>(~creative(X)&wise(X))))&
(![X]:((~humbl... | funny(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8178699244071447921654630
% SZS output start Proof for 8178699244071447921654630
17. funny(fred) & tall(fred) [input p16]
21. ~funny(fred) [input hypothesis]
24. funny(fred) [pure predicate removal 17]
109. funny(fred) [cnf transformation 24]
113. ~funny(fred) [cnf transformation 21]
221.... | 0 |
Everyone who is happy or not curious is calm and vice versa. Everyone who is not tall is either not strong or patient. Everyone who is kind or not funny is both not kind and quiet and vice versa. Everyone who is either not rich or not wise is both generous and creative and vice versa. Everyone who is not wise is both n... | Alice is patient. | entailment | (![X]:((happy(X)|~curious(X))<=>calm(X)))&
(![X]:(~tall(X)=>(~strong(X)<~>patient(X))))&
(![X]:((kind(X)|~funny(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~rich(X)<~>~wise(X))<=>(generous(X)&creative(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~humble(X))))&
(![X]:((brave(X)&~brave(X))<=>(~old(X)|kind(X))))&
(![X]:(~old(X)<=>(happ... | patient(alice) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9183267682761383656144296
% SZS output start Proof for 9183267682761383656144296
1. ! [X0] : ((~curious(X0) | happy(X0)) <=> calm(X0)) [input p0]
5. ! [X0] : (~wise(X0) <=> (~humble(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~brave(X0) & brave(X0)) <=> (kind(X0) | ~old(X0))) [input p5]... | 0 |
If john is strong then lucy is tall or not kind.
If john is either tall or not rich then someone is not quiet and vice versa.
If fred is both not patient and wise then susan is not generous and vice versa.
If someone is not creative then someone is old.
Everyone who is tall is both not kind and not generous.
If someone... | Fred is generous. | contradiction | ((strong(john))=>((tall(lucy)|~kind(lucy))))&
(((tall(john)<~>~rich(john)))<=>(?[X]:(~quiet(X))))&
(((~patient(fred)&wise(fred)))<=>(~generous(susan)))&
((?[X]:(~creative(X)))=>(?[X]:(old(X))))&
(![X]:(tall(X)=>(~kind(X)&~generous(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~tall(X)|~wise(X)))))&
(![X]:((patient(... | generous(fred) | [
"p6",
"p7",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3312585264710252033348581
% SZS output start Proof for 3312585264710252033348581
7. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (generous(X0) | curious(X0))) [input p6]
8. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (creative(X0) & ~patient(X0))) [input p7]
14. ! [X0] : ((~funny(X0) | ~strong(X... | 0 |
If mary is either not strong or not tall then susan is both patient and calm and vice versa.
If someone is either not wise or quiet then someone is both creative and not humble and vice versa.
If someone is either not strong or humble then someone is kind.
Everyone who is brave or not old is not generous and vice versa... | Mary is brave. | contradiction | (((~strong(mary)<~>~tall(mary)))<=>((patient(susan)&calm(susan))))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((creative(X)&~humble(X)))))&
((?[X]:((~strong(X)<~>humble(X))))=>(?[X]:(kind(X))))&
(![X]:((brave(X)|~old(X))<=>~generous(X)))&
(![X]:(~funny(X)=>(~brave(X)|humble(X))))&
(![X]:((creative(X)<~>~strong(X))=>(funn... | brave(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 803589791583460341115330
% SZS output start Proof for 803589791583460341115330
9. ! [X0] : ((strong(X0) | brave(X0)) => (~tall(X0) & ~brave(X0))) [input p8]
24. brave(mary) [input hypothesis]
31. ! [X0] : ((~tall(X0) & ~brave(X0)) | (~strong(X0) & ~brave(X0))) [ennf transformation 9]
104.... | 0 |
Everyone who is both not patient and not creative is not tall or not humble.
Everyone who is not funny or old is happy or not funny and vice versa.
Everyone who is not patient is brave or strong and vice versa.
Everyone who is either rich or wise is either not brave or not generous.
If john is not humble then john is n... | Lucy is patient. | neutral | (![X]:((~patient(X)&~creative(X))=>(~tall(X)|~humble(X))))&
(![X]:((~funny(X)|old(X))<=>(happy(X)|~funny(X))))&
(![X]:(~patient(X)<=>(brave(X)|strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~brave(X)<~>~generous(X))))&
((~humble(john))<=>(~calm(john)))&
(![X]:((~kind(X)|~quiet(X))=>(wise(X)|~tall(X))))&
((?[X]:((~tall(X)|~... | patient(lucy) | [] | null | 0 |
If mary is both not generous and tall then paul is both happy and not generous.
Everyone who is either not quiet or quiet is generous.
If someone is either tall or rich then someone is both rich and funny and vice versa.
If someone is not funny or humble then john is both not brave and not old.
If mary is either not fu... | John is not creative. | contradiction | (((~generous(mary)&tall(mary)))=>((happy(paul)&~generous(paul))))&
(![X]:((~quiet(X)<~>quiet(X))=>generous(X)))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|humble(X))))=>((~brave(john)&~old(john))))&
(((~funny(mary)<~>~wise(mary)))<=>(~humble(mary)))&
(![X]:((tall(X)|humble(X))<=>(... | ~creative(john) | [
"p1",
"p5",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7162451797083162860123888
% SZS output start Proof for 7162451797083162860123888
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((humble(X0) | tall(X0)) <=> (~patient(X0) | ~brave(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (generous(X0) <~>... | 0 |
If fred is not curious then fred is both tall and happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise then someone is either rich or happy and vice versa.
If paul is ei... | Alice is calm. | contradiction | ((~curious(fred))=>((tall(fred)&happy(fred))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(~old(X)<=>wise... | calm(alice) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8889302520176834344255851
% SZS output start Proof for 8889302520176834344255851
3. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p2]
4. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p3]
5. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
Everyone who is both tall and kind is happy. If mary is either not brave or not wise then susan is both not generous and strong and vice versa. Everyone who is not curious is not creative or not curious and vice versa. Everyone who is both not patient and not strong is not strong or kind and vice versa. Everyone who is... | Mary is creative. | entailment | (![X]:((tall(X)&kind(X))=>happy(X)))&
(((~brave(mary)<~>~wise(mary)))<=>((~generous(susan)&strong(susan))))&
(![X]:(~curious(X)<=>(~creative(X)|~curious(X))))&
(![X]:((~patient(X)&~strong(X))<=>(~strong(X)|kind(X))))&
(![X]:(~tall(X)<=>(happy(X)&kind(X))))&
(![X]:(~happy(X)=>(~patient(X)<~>~humble(X))))&
(((~kind(susan... | creative(mary) | [
"p2",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4396893198076686980976034
% SZS output start Proof for 4396893198076686980976034
3. ! [X0] : (~curious(X0) <=> (~curious(X0) | ~creative(X0))) [input p2]
11. ! [X0] : ((~old(X0) <~> ~generous(X0)) => curious(X0)) [input p10]
12. ! [X0] : (~generous(X0) => quiet(X0)) [input p11]
18. ~old(m... | 0 |
If alice is either curious or not happy then someone is not kind or creative.
Everyone who is curious is either funny or calm and vice versa.
If mary is either kind or not old then mary is both not brave and not strong and vice versa.
If susan is either not brave or not rich then someone is calm.
Everyone who is either... | Alice is wise. | neutral | (((curious(alice)<~>~happy(alice)))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:(curious(X)<=>(funny(X)<~>calm(X))))&
(((kind(mary)<~>~old(mary)))<=>((~brave(mary)&~strong(mary))))&
(((~brave(susan)<~>~rich(susan)))=>(?[X]:(calm(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(funny(X)|~creative(X))))&
(![X]:((strong(X)&~creat... | wise(alice) | [] | null | 0 |
Everyone who is either calm or not curious is brave and vice versa.
Everyone who is both not generous and not patient is either not quiet or not generous and vice versa.
If paul is both not old and calm then mary is either curious or funny.
Everyone who is not old or not creative is not kind and vice versa.
Everyone wh... | Paul is not happy. | entailment | (![X]:((calm(X)<~>~curious(X))<=>brave(X)))&
(![X]:((~generous(X)&~patient(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)&calm(paul)))=>((curious(mary)<~>funny(mary))))&
(![X]:((~old(X)|~creative(X))<=>~kind(X)))&
(![X]:(~generous(X)<=>(kind(X)<~>happy(X))))&
(((~patient(alice)<~>curious(alice)))=>(?[X]:((kind(X)&~k... | ~happy(paul) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 405111090256519825929909
% SZS output start Proof for 405111090256519825929909
1. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> brave(X0)) [input p0]
4. ! [X0] : ((~creative(X0) | ~old(X0)) <=> ~kind(X0)) [input p3]
5. ! [X0] : (~generous(X0) <=> (kind(X0) <~> happy(X0))) [input p4]
7. ! [X0]... | 0 |
If alice is both not kind and not curious then john is either quiet or wise.
Everyone who is wise is patient.
If fred is both generous and not happy then someone is not humble or humble and vice versa.
If someone is not generous then someone is both not tall and not brave and vice versa.
If susan is wise then alice is ... | Susan is not calm. | neutral | (((~kind(alice)&~curious(alice)))=>((quiet(john)<~>wise(john))))&
(![X]:(wise(X)=>patient(X)))&
(((generous(fred)&~happy(fred)))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~tall(X)&~brave(X)))))&
((wise(susan))<=>((patient(alice)|~calm(alice))))&
(![X]:((~happy(X)&~tall(X))=>(strong(X)&~genero... | ~calm(susan) | [] | null | 0 |
If someone is both quiet and not quiet then someone is both old and creative and vice versa. If mary is either not strong or creative then someone is either kind or brave and vice versa. If mary is not creative or not curious then someone is both not strong and not kind. Everyone who is not creative is both not quiet a... | Fred is old. | neutral | ((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((old(X)&creative(X)))))&
(((~strong(mary)<~>creative(mary)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(((~creative(mary)|~curious(mary)))=>(?[X]:((~strong(X)&~kind(X)))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((creative(X)<~>~kind(X))=>(~humble(X)&~rich(X))))&
(![X]:((brav... | old(fred) | [] | null | 0 |
Everyone who is calm or tall is brave or humble and vice versa.
Everyone who is not quiet is generous or kind and vice versa.
If someone is not brave or not strong then paul is both not kind and not funny and vice versa.
If someone is both strong and rich then mary is either not brave or not kind.
If someone is either ... | Fred is happy. | contradiction | (![X]:((calm(X)|tall(X))<=>(brave(X)|humble(X))))&
(![X]:(~quiet(X)<=>(generous(X)|kind(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>((~kind(paul)&~funny(paul))))&
((?[X]:((strong(X)&rich(X))))=>((~brave(mary)<~>~kind(mary))))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:((brave(X)|~kind(X))<=>... | happy(fred) | [
"p0",
"p4",
"p5",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3437908562145894361762592
% SZS output start Proof for 3437908562145894361762592
1. ! [X0] : ((tall(X0) | calm(X0)) <=> (humble(X0) | brave(X0))) [input p0]
5. ? [X0] : (happy(X0) <~> tall(X0)) => ? [X0] : (strong(X0) & ~strong(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~hap... | 0 |
Everyone who is tall is both not kind and not generous.
If someone is humble or patient then someone is not tall or not wise and vice versa.
Everyone who is either patient or not calm is curious or generous and vice versa.
Everyone who is not quiet or not funny is both not patient and creative and vice versa.
If someon... | Alice is not wise. | contradiction | (![X]:(tall(X)=>(~kind(X)&~generous(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~tall(X)|~wise(X)))))&
(![X]:((patient(X)<~>~calm(X))<=>(curious(X)|generous(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(~patient(X)&creative(X))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:((~tall(X)|~quiet(X)... | ~wise(alice) | [
"p0",
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5564046010426376547640413
% SZS output start Proof for 5564046010426376547640413
1. ! [X0] : (tall(X0) => (~generous(X0) & ~kind(X0))) [input p0]
6. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> ~brave(X0)) [input p5]
8. ! [X0] : (generous(X0) <=> ~brave(X0)) [input p7]
10. ! [X0] : ((~funny(X0)... | 0 |
Everyone who is either not curious or funny is both old and strong. Everyone who is quiet is both not old and not strong and vice versa. Everyone who is not strong or not happy is both not happy and kind. Everyone who is not kind or generous is calm and vice versa. If john is both not quiet and tall then someone is tal... | Fred is not wise. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&strong(X))))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&
(![X]:(~pati... | ~wise(fred) | [] | null | 0 |
If lucy is quiet then paul is curious.
If alice is not patient or not calm then someone is rich.
If lucy is both rich and not tall then someone is both tall and not quiet.
If someone is patient or creative then paul is either kind or patient and vice versa.
If fred is brave then paul is either quiet or not kind and vic... | Mary is tall. | entailment | ((quiet(lucy))=>(curious(paul)))&
(((~patient(alice)|~calm(alice)))=>(?[X]:(rich(X))))&
(((rich(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
((?[X]:((patient(X)|creative(X))))<=>((kind(paul)<~>patient(paul))))&
((brave(fred))<=>((quiet(paul)<~>~kind(paul))))&
(![X]:((quiet(X)|~curious(X))<=>(~wise(X)|tall(X))))&... | tall(mary) | [
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2126661815496182109159191
% SZS output start Proof for 2126661815496182109159191
19. ~tall(mary) <~> ~happy(mary) [input p18]
24. ~happy(mary) & kind(mary) [input p23]
25. ~tall(mary) [input hypothesis]
72. (happy(mary) | tall(mary)) & (~happy(mary) | ~tall(mary)) [nnf transformation 19]
... | 0 |
If paul is both generous and not tall then someone is either not rich or not kind.
If fred is not patient then fred is not kind or patient and vice versa.
Everyone who is both calm and humble is not humble or not wise and vice versa.
Everyone who is either old or not old is both funny and wise.
Everyone who is wise or ... | Paul is generous. | entailment | (((generous(paul)&~tall(paul)))=>(?[X]:((~rich(X)<~>~kind(X)))))&
((~patient(fred))<=>((~kind(fred)|patient(fred))))&
(![X]:((calm(X)&humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:((old(X)<~>~old(X))=>(funny(X)&wise(X))))&
(![X]:((wise(X)|~kind(X))=>~strong(X)))&
(![X]:(tall(X)<=>(strong(X)|old(X))))&
(((creative(fred)<~... | generous(paul) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1392056482997051317781682
% SZS output start Proof for 1392056482997051317781682
3. ! [X0] : ((humble(X0) & calm(X0)) <=> (~wise(X0) | ~humble(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (wise(X0) & funny(X0))) [input p3]
8. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (~happy(X... | 0 |
If someone is either brave or not strong then lucy is either not tall or rich.
Everyone who is old or not calm is tall or quiet.
Everyone who is both not wise and old is either not rich or funny and vice versa.
Everyone who is either calm or not generous is not old or calm and vice versa.
Everyone who is brave is both ... | Alice is not funny. | neutral | ((?[X]:((brave(X)<~>~strong(X))))=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~old(X)|calm(X))))&
(![X]:(brave(X)=>(kind(X)&wise(X))))&
(![X]:((tall(X)|patient(X))=>(old(X)&~quiet(X))))&
((?[X]:((~... | ~funny(alice) | [] | null | 0 |
Everyone who is rich or not rich is not curious or curious and vice versa.
Everyone who is either rich or not tall is not tall and vice versa.
If susan is both curious and strong then someone is either not tall or generous and vice versa.
Everyone who is either not kind or kind is either creative or kind.
If someone is... | Fred is not tall. | neutral | (![X]:((rich(X)|~rich(X))<=>(~curious(X)|curious(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~tall(X)))&
(((curious(susan)&strong(susan)))<=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:((~kind(X)<~>kind(X))=>(creative(X)<~>kind(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:(quiet(X)=>(strong(X)... | ~tall(fred) | [] | null | 0 |
If someone is funny or rich then someone is not old or happy.
If lucy is either patient or funny then someone is either quiet or not quiet.
Everyone who is not generous is both not happy and not quiet.
If susan is either not generous or not kind then john is quiet and vice versa.
Everyone who is patient or quiet is eit... | John is not quiet. | entailment | ((?[X]:((funny(X)|rich(X))))=>(?[X]:((~old(X)|happy(X)))))&
(((patient(lucy)<~>funny(lucy)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>(~happy(X)&~quiet(X))))&
(((~generous(susan)<~>~kind(susan)))<=>(quiet(john)))&
(![X]:((patient(X)|quiet(X))=>(~humble(X)<~>creative(X))))&
(((~creative(paul)|wise(paul)))... | ~quiet(john) | [
"p4",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5453743467628356598407257
% SZS output start Proof for 5453743467628356598407257
5. ! [X0] : ((quiet(X0) | patient(X0)) => (~humble(X0) <~> creative(X0))) [input p4]
12. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (funny(X0) <~> ~funny(X0))) [input p11]
13. ! [X0] : ((~creative(X0) & ~calm(X... | 0 |
Everyone who is both patient and not quiet is either not wise or not tall.
Everyone who is kind is either not creative or not strong and vice versa.
Everyone who is both not humble and kind is not happy or humble.
If paul is tall or not kind then susan is either old or quiet and vice versa.
If susan is either happy or ... | Lucy is strong. | neutral | (![X]:((patient(X)&~quiet(X))=>(~wise(X)<~>~tall(X))))&
(![X]:(kind(X)<=>(~creative(X)<~>~strong(X))))&
(![X]:((~humble(X)&kind(X))=>(~happy(X)|humble(X))))&
(((tall(paul)|~kind(paul)))<=>((old(susan)<~>quiet(susan))))&
(((happy(susan)<~>~rich(susan)))<=>((~wise(susan)&~calm(susan))))&
((?[X]:((~generous(X)&creative(X)... | strong(lucy) | [] | null | 0 |
Everyone who is either not curious or not quiet is not quiet and vice versa.
If someone is either not generous or patient then someone is either not brave or calm.
Everyone who is both not kind and curious is either wise or not happy and vice versa.
If someone is either not generous or kind then mary is both not happy ... | John is not kind. | entailment | (![X]:((~curious(X)<~>~quiet(X))<=>~quiet(X)))&
((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:((~brave(X)<~>calm(X)))))&
(![X]:((~kind(X)&curious(X))<=>(wise(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>((~happy(mary)&~curious(mary))))&
(![X]:((~calm(X)&patient(X))=>(curious(X)<~>~creative(X))))&
(((~brave(luc... | ~kind(john) | [
"p0",
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9140950488956556678478293
% SZS output start Proof for 9140950488956556678478293
1. ! [X0] : ((~curious(X0) <~> ~quiet(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (wise(X0) <~> ~happy(X0))) [input p2]
4. ? [X0] : (~generous(X0) <~> kind(X0)) => (~curious(mar... | 0 |
Everyone who is both generous and not happy is not patient and vice versa.
If someone is either old or kind then fred is both not humble and not old.
Everyone who is old or kind is both not wise and tall.
Everyone who is either brave or strong is both rich and funny and vice versa.
Everyone who is not generous or brave... | Paul is not strong. | neutral | (![X]:((generous(X)&~happy(X))<=>~patient(X)))&
((?[X]:((old(X)<~>kind(X))))=>((~humble(fred)&~old(fred))))&
(![X]:((old(X)|kind(X))=>(~wise(X)&tall(X))))&
(![X]:((brave(X)<~>strong(X))<=>(rich(X)&funny(X))))&
(![X]:((~generous(X)|brave(X))<=>(~strong(X)&~funny(X))))&
(((~generous(fred)|~old(fred)))<=>((brave(paul)&str... | ~strong(paul) | [] | null | 0 |
If fred is either patient or not curious then john is strong. Everyone who is not quiet is not rich and vice versa. Everyone who is both creative and not creative is kind and vice versa. Everyone who is both humble and generous is either not tall or not funny and vice versa. Everyone who is humble or not kind is either... | Fred is not quiet. | entailment | (((patient(fred)<~>~curious(fred)))=>(strong(john)))&
(![X]:(~quiet(X)<=>~rich(X)))&
(![X]:((creative(X)&~creative(X))<=>kind(X)))&
(![X]:((humble(X)&generous(X))<=>(~tall(X)<~>~funny(X))))&
(![X]:((humble(X)|~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:((rich(X)&patient(X))<=>(tall(X)|happy(X))))&
(![X]:((brave(X)<~>~... | ~quiet(fred) | [
"p2",
"p4",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6800204997108243925403385
% SZS output start Proof for 6800204997108243925403385
3. ! [X0] : ((~creative(X0) & creative(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : ((~kind(X0) | humble(X0)) => (~strong(X0) <~> ~quiet(X0))) [input p4]
11. ! [X0] : ((humble(X0) | ~wise(X0)) => (wise(X0) <~> s... | 0 |
Everyone who is either not kind or not humble is both not patient and funny.
Everyone who is either not generous or funny is either not brave or not quiet.
Everyone who is not quiet is not brave or not rich and vice versa.
If someone is not quiet then paul is brave and vice versa.
Everyone who is humble or not brave is... | John is not happy. | contradiction | (![X]:((~kind(X)<~>~humble(X))=>(~patient(X)&funny(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
((?[X]:(~quiet(X)))<=>(brave(paul)))&
(![X]:((humble(X)|~brave(X))=>(~funny(X)|~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((humble(alice)&~quiet(alice)... | ~happy(john) | [
"p0",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3780651415118062522650750
% SZS output start Proof for 3780651415118062522650750
1. ! [X0] : ((~kind(X0) <~> ~humble(X0)) => (funny(X0) & ~patient(X0))) [input p0]
7. ! [X0] : (~happy(X0) => (~humble(X0) <~> ~calm(X0))) [input p6]
8. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~calm(X0) | ~w... | 0 |
If fred is calm or wise then someone is calm or strong. Everyone who is either not tall or not kind is not patient or not funny. If paul is calm then john is both not funny and not humble and vice versa. If someone is either old or patient then mary is either not funny or kind. If alice is either tall or wise then mary... | Mary is not old. | entailment | (((calm(fred)|wise(fred)))=>(?[X]:((calm(X)|strong(X)))))&
(![X]:((~tall(X)<~>~kind(X))=>(~patient(X)|~funny(X))))&
((calm(paul))<=>((~funny(john)&~humble(john))))&
((?[X]:((old(X)<~>patient(X))))=>((~funny(mary)<~>kind(mary))))&
(((tall(alice)<~>wise(alice)))=>(rich(mary)))&
((?[X]:((~patient(X)&~strong(X))))<=>(?[X]:... | ~old(mary) | [
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8725785363149349729155398
% SZS output start Proof for 8725785363149349729155398
9. ! [X0] : ((curious(X0) & tall(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p8]
15. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (~curious(X0) <~> ~quiet(X0))) [input p14]
21. generous(mary) & quiet(mary) [in... | 0 |
If someone is both not patient and calm then someone is either not old or creative and vice versa. If someone is brave then susan is both calm and wise and vice versa. Everyone who is either not calm or not funny is either tall or rich and vice versa. Everyone who is not old or funny is both not generous and not happy.... | Susan is not wise. | entailment | ((?[X]:((~patient(X)&calm(X))))<=>(?[X]:((~old(X)<~>creative(X)))))&
((?[X]:(brave(X)))<=>((calm(susan)&wise(susan))))&
(![X]:((~calm(X)<~>~funny(X))<=>(tall(X)<~>rich(X))))&
(![X]:((~old(X)|funny(X))=>(~generous(X)&~happy(X))))&
(((generous(fred)|~funny(fred)))<=>((~patient(fred)|~humble(fred))))&
(![X]:((~rich(X)&str... | ~wise(susan) | [
"p1",
"p2",
"p3",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4667431458905432788324022
% SZS output start Proof for 4667431458905432788324022
2. ? [X0] : brave(X0) <=> (wise(susan) & calm(susan)) [input p1]
3. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> (tall(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((funny(X0) | ~old(X0)) => (~happy(X0) & ~generous(... | 0 |
If mary is not old then fred is not calm and vice versa.
Everyone who is not brave is either not creative or not tall.
Everyone who is either generous or not creative is both not calm and not funny.
Everyone who is either curious or not wise is not quiet or humble.
If john is either strong or generous then mary is gene... | Fred is not brave. | neutral | ((~old(mary))<=>(~calm(fred)))&
(![X]:(~brave(X)=>(~creative(X)<~>~tall(X))))&
(![X]:((generous(X)<~>~creative(X))=>(~calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~wise(X))=>(~quiet(X)|humble(X))))&
(((strong(john)<~>generous(john)))=>(generous(mary)))&
(![X]:((~humble(X)<~>~brave(X))=>(old(X)<~>rich(X))))&
((strong(lucy... | ~brave(fred) | [] | null | 0 |
Everyone who is either not calm or kind is both happy and not generous and vice versa.
Everyone who is tall is not patient and vice versa.
Everyone who is strong is old.
If someone is not happy then fred is both not quiet and quiet and vice versa.
If fred is creative then john is either quiet or creative.
If someone is... | John is happy. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(happy(X)&~generous(X))))&
(![X]:(tall(X)<=>~patient(X)))&
(![X]:(strong(X)=>old(X)))&
((?[X]:(~happy(X)))<=>((~quiet(fred)&quiet(fred))))&
((creative(fred))=>((quiet(john)<~>creative(john))))&
((?[X]:((~curious(X)&~tall(X))))=>(~old(susan)))&
(![X]:((brave(X)<~>rich(X))=>~funny(X)))&
(![X... | happy(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2570924520649574196405656
% SZS output start Proof for 2570924520649574196405656
4. ? [X0] : ~happy(X0) <=> (quiet(fred) & ~quiet(fred)) [input p3]
24. ~happy(john) [input hypothesis]
39. (? [X0] : ~happy(X0) | (~quiet(fred) | quiet(fred))) & ((quiet(fred) & ~quiet(fred)) | ! [X0] : happy... | 0 |
Everyone who is patient is patient or not generous and vice versa.
Everyone who is not humble is either rich or not rich and vice versa.
Everyone who is humble is both humble and not curious and vice versa.
If someone is not tall then paul is tall or not generous and vice versa.
Everyone who is both not calm and funny ... | Lucy is old. | entailment | (![X]:(patient(X)<=>(patient(X)|~generous(X))))&
(![X]:(~humble(X)<=>(rich(X)<~>~rich(X))))&
(![X]:(humble(X)<=>(humble(X)&~curious(X))))&
((?[X]:(~tall(X)))<=>((tall(paul)|~generous(paul))))&
(![X]:((~calm(X)&funny(X))<=>(~old(X)|rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>rich(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>(?[... | old(lucy) | [
"p4",
"p5",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 856253267168378455344592
% SZS output start Proof for 856253267168378455344592
5. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (rich(X0) | ~old(X0))) [input p4]
6. ! [X0] : (~old(X0) <=> (kind(X0) <~> rich(X0))) [input p5]
9. ? [X0] : (~funny(X0) & ~tall(X0)) <=> (brave(lucy) & ~rich(lucy)) [inp... | 0 |
Everyone who is both quiet and not rich is both not generous and not old and vice versa.
Everyone who is generous or wise is either not humble or not happy.
Everyone who is not humble is strong or not wise and vice versa.
Everyone who is both wise and not quiet is not humble or not patient and vice versa.
Everyone who ... | Paul is creative. | entailment | (![X]:((quiet(X)&~rich(X))<=>(~generous(X)&~old(X))))&
(![X]:((generous(X)|wise(X))=>(~humble(X)<~>~happy(X))))&
(![X]:(~humble(X)<=>(strong(X)|~wise(X))))&
(![X]:((wise(X)&~quiet(X))<=>(~humble(X)|~patient(X))))&
(![X]:(generous(X)=>(humble(X)&~quiet(X))))&
(![X]:((rich(X)&~generous(X))<=>(brave(X)&~tall(X))))&
((~qui... | creative(paul) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 743841712560504119541337
% SZS output start Proof for 743841712560504119541337
4. ! [X0] : ((~quiet(X0) & wise(X0)) <=> (~patient(X0) | ~humble(X0))) [input p3]
8. (curious(susan) & ~rich(susan)) <=> ? [X0] : (~happy(X0) | humble(X0)) [input p7]
10. ! [X0] : ((~kind(X0) | curious(X0)) <=>... | 0 |
If mary is either calm or humble then someone is not creative.
Everyone who is either happy or wise is creative.
Everyone who is old or not strong is both old and not strong and vice versa.
Everyone who is brave or creative is kind or creative.
If lucy is not patient or not curious then mary is both rich and funny.
Eve... | Mary is wise. | contradiction | (((calm(mary)<~>humble(mary)))=>(?[X]:(~creative(X))))&
(![X]:((happy(X)<~>wise(X))=>creative(X)))&
(![X]:((old(X)|~strong(X))<=>(old(X)&~strong(X))))&
(![X]:((brave(X)|creative(X))=>(kind(X)|creative(X))))&
(((~patient(lucy)|~curious(lucy)))=>((rich(mary)&funny(mary))))&
(![X]:((~strong(X)|~calm(X))=>~patient(X)))&
(!... | wise(mary) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 156380101840286754493975
% SZS output start Proof for 156380101840286754493975
2. ! [X0] : ((happy(X0) <~> wise(X0)) => creative(X0)) [input p1]
22. ~happy(mary) & ~creative(mary) [input p21]
25. wise(mary) [input hypothesis]
31. ! [X0] : (creative(X0) | (happy(X0) <=> wise(X0))) [ennf tr... | 0 |
If alice is wise or creative then lucy is both calm and not brave. Everyone who is not strong or not curious is either not tall or not brave. If susan is both happy and calm then paul is creative. If someone is patient or not curious then someone is not old or patient. Everyone who is both quiet and rich is not creativ... | Lucy is strong. | neutral | (((wise(alice)|creative(alice)))=>((calm(lucy)&~brave(lucy))))&
(![X]:((~strong(X)|~curious(X))=>(~tall(X)<~>~brave(X))))&
(((happy(susan)&calm(susan)))=>(creative(paul)))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((quiet(X)&rich(X))<=>~creative(X)))&
((brave(susan))=>((~kind(john)|wise... | strong(lucy) | [] | null | 0 |
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