premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not creative is both brave and tall and vice versa. Everyone who is not creative or not brave is creative. Everyone who is either not happy or calm is not creative. If alice is both not happy and n... | Susan is generous. | neutral | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~creative(X))<=>(brave(X)&tall(X))))&
(![X]:((~creative(X)|~brave(X))=>creative(X)))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X... | generous(susan) | [] | null | 0 |
If fred is either kind or old then someone is old.
Everyone who is either calm or not wise is wise.
Everyone who is either not brave or not old is either tall or not tall.
If someone is not curious or not old then someone is both not rich and humble.
Everyone who is both not happy and rich is creative and vice versa.
E... | Fred is not quiet. | contradiction | (((kind(fred)<~>old(fred)))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))=>wise(X)))&
(![X]:((~brave(X)<~>~old(X))=>(tall(X)<~>~tall(X))))&
((?[X]:((~curious(X)|~old(X))))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>creative(X)))&
(![X]:((kind(X)|patient(X))<=>(tall(X)&old(X))))&
(![X]:((~generous(X)... | ~quiet(fred) | [
"p5",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 780310285047025470711052
% SZS output start Proof for 780310285047025470711052
6. ! [X0] : ((patient(X0) | kind(X0)) <=> (old(X0) & tall(X0))) [input p5]
8. ! [X0] : (~quiet(X0) => ~curious(X0)) [input p7]
12. ! [X0] : (kind(X0) <=> (happy(X0) | ~happy(X0))) [input p11]
16. ! [X0] : ((wis... | 0 |
Everyone who is not humble is calm.
If someone is brave then alice is funny or not creative and vice versa.
Everyone who is not creative is humble and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is qui... | John is not wise. | neutral | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((funny(alice)|~creative(alice))))&
(![X]:(~creative(X)<=>humble(X)))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~s... | ~wise(john) | [] | null | 0 |
Everyone who is not happy or not wise is both not creative and quiet and vice versa.
If susan is not tall then someone is either not creative or not tall and vice versa.
If lucy is curious then susan is either not creative or strong.
If paul is not curious then someone is patient.
Everyone who is old is both not wise a... | Mary is funny. | contradiction | (![X]:((~happy(X)|~wise(X))<=>(~creative(X)&quiet(X))))&
((~tall(susan))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
((curious(lucy))=>((~creative(susan)<~>strong(susan))))&
((~curious(paul))=>(?[X]:(patient(X))))&
(![X]:(old(X)=>(~wise(X)&creative(X))))&
((?[X]:(kind(X)))<=>((~funny(alice)<~>brave(alice))))&
((?[X]:(old(X)... | funny(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7710193331458939852144321
% SZS output start Proof for 7710193331458939852144321
16. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p15]
24. funny(mary) [input hypothesis]
61. ! [X0] : (((funny(X0) | ~calm(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & calm(X0)))) [nnf transfor... | 0 |
If fred is both old and not patient then someone is wise and vice versa.
If mary is not patient or funny then alice is either strong or rich.
Everyone who is either not old or not wise is kind and vice versa.
If someone is calm or not strong then someone is both not humble and not creative and vice versa.
If someone is... | Mary is creative. | contradiction | (((old(fred)&~patient(fred)))<=>(?[X]:(wise(X))))&
(((~patient(mary)|funny(mary)))=>((strong(alice)<~>rich(alice))))&
(![X]:((~old(X)<~>~wise(X))<=>kind(X)))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)&~wise(X))))=>((kind(john)&wise(john))))&
(((kind(john)<~>~old(john)))=>(~wi... | creative(mary) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4308265853348048318553746
% SZS output start Proof for 4308265853348048318553746
9. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> (~humble(X0) | ~kind(X0))) [input p8]
13. ! [X0] : ((~kind(X0) | generous(X0)) <=> ~generous(X0)) [input p12]
23. creative(mary) [input hypothesis]
51. ! [X0] :... | 0 |
Everyone who is both brave and not brave is either not humble or funny and vice versa.
If john is both not tall and quiet then someone is not tall or funny and vice versa.
If paul is either creative or quiet then someone is either generous or not tall and vice versa.
If someone is quiet or not calm then lucy is not pat... | Susan is strong. | neutral | (![X]:((brave(X)&~brave(X))<=>(~humble(X)<~>funny(X))))&
(((~tall(john)&quiet(john)))<=>(?[X]:((~tall(X)|funny(X)))))&
(((creative(paul)<~>quiet(paul)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((quiet(X)|~calm(X))))=>((~patient(lucy)|~generous(lucy))))&
(![X]:((brave(X)|~creative(X))=>(happy(X)|funny(X))))&
((?[X]... | strong(susan) | [] | null | 0 |
Everyone who is not generous is both rich and not patient and vice versa. If someone is not wise then someone is both not curious and not old. Everyone who is not rich or curious is not kind or not calm. If alice is wise then lucy is not curious or wise. If someone is rich then susan is either not strong or not happy a... | Fred is funny. | contradiction | (![X]:(~generous(X)<=>(rich(X)&~patient(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((~rich(X)|curious(X))=>(~kind(X)|~calm(X))))&
((wise(alice))=>((~curious(lucy)|wise(lucy))))&
((?[X]:(rich(X)))<=>((~strong(susan)<~>~happy(susan))))&
(![X]:((~creative(X)<~>~old(X))<=>(~kind(X)<~>~rich(X))))&
(![... | funny(fred) | [
"p2",
"p10",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3911365850815887628884181
% SZS output start Proof for 3911365850815887628884181
3. ! [X0] : ((curious(X0) | ~rich(X0)) => (~calm(X0) | ~kind(X0))) [input p2]
11. ! [X0] : ((wise(X0) | ~creative(X0)) <=> (old(X0) <~> calm(X0))) [input p10]
13. ! [X0] : (funny(X0) => (~funny(X0) <~> curiou... | 0 |
Everyone who is not humble is kind. If paul is humble then mary is old or not generous and vice versa. If someone is both not humble and not tall then alice is both not happy and generous and vice versa. Everyone who is not generous is not brave or not kind. If susan is not happy or not creative then alice is old or cu... | Alice is quiet. | neutral | (![X]:(~humble(X)=>kind(X)))&
((humble(paul))<=>((old(mary)|~generous(mary))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~happy(alice)&generous(alice))))&
(![X]:(~generous(X)=>(~brave(X)|~kind(X))))&
(((~happy(susan)|~creative(susan)))<=>((old(alice)|curious(alice))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:((brave(X)&~t... | quiet(alice) | [] | null | 0 |
Everyone who is not humble or not wise is not funny or quiet and vice versa. Everyone who is not strong or not humble is both not strong and not calm and vice versa. Everyone who is both humble and not strong is both not happy and humble. Everyone who is tall is either not rich or not funny and vice versa. Everyone who... | Fred is not wise. | entailment | (![X]:((~humble(X)|~wise(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~strong(X)|~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&humble(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~funny(X))))&
(![X]:((brave(X)&~generous(X))<=>humble(X)))&
(((wise(lucy)|~happy(lucy)))<=>((brave(fred)|~kind(fred))))&
(... | ~wise(fred) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 614594178062787850593829
% SZS output start Proof for 614594178062787850593829
2. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (~calm(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [inp... | 0 |
Everyone who is both strong and brave is not happy or not kind and vice versa.
If someone is both not curious and patient then susan is quiet and vice versa.
Everyone who is kind or humble is both strong and not quiet.
Everyone who is either not happy or not calm is either not brave or tall.
If someone is brave then fr... | Lucy is not brave. | contradiction | (![X]:((strong(X)&brave(X))<=>(~happy(X)|~kind(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(quiet(susan)))&
(![X]:((kind(X)|humble(X))=>(strong(X)&~quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>(~brave(X)<~>tall(X))))&
((?[X]:(brave(X)))=>((strong(fred)|rich(fred))))&
(![X]:(creative(X)<=>(~creative(X)&~brave(X))))&
(![X... | ~brave(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8587292777759772324624712
% SZS output start Proof for 8587292777759772324624712
6. ! [X0] : (creative(X0) <=> (~brave(X0) & ~creative(X0))) [input p5]
23. ~brave(lucy) [input hypothesis]
46. ! [X0] : ((creative(X0) | (brave(X0) | creative(X0))) & ((~brave(X0) & ~creative(X0)) | ~creative... | 0 |
Everyone who is creative or quiet is either calm or brave.
If lucy is either not quiet or not funny then someone is both not quiet and not old and vice versa.
Everyone who is not wise is either not curious or old and vice versa.
Everyone who is patient is either quiet or not strong and vice versa.
Everyone who is eithe... | Paul is not kind. | entailment | (![X]:((creative(X)|quiet(X))=>(calm(X)<~>brave(X))))&
(((~quiet(lucy)<~>~funny(lucy)))<=>(?[X]:((~quiet(X)&~old(X)))))&
(![X]:(~wise(X)<=>(~curious(X)<~>old(X))))&
(![X]:(patient(X)<=>(quiet(X)<~>~strong(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(creative(X)|~generous(X))))&
(![X]:((~patient(X)<~>~tall(X))<=>creative(X... | ~kind(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5431854397237383374462478
% SZS output start Proof for 5431854397237383374462478
21. ~kind(paul) & ~funny(paul) [input p20]
25. kind(paul) [input hypothesis]
142. ~kind(paul) [cnf transformation 21]
147. kind(paul) [cnf transformation 25]
258. $false [subsumption resolution 147,142]
% SZS... | 0 |
If alice is both not generous and not calm then paul is both not creative and strong and vice versa.
If susan is either wise or strong then john is not creative or not old.
Everyone who is not happy is quiet and vice versa.
If someone is not happy then lucy is both creative and old and vice versa.
Everyone who is both ... | Mary is not happy. | contradiction | (((~generous(alice)&~calm(alice)))<=>((~creative(paul)&strong(paul))))&
(((wise(susan)<~>strong(susan)))=>((~creative(john)|~old(john))))&
(![X]:(~happy(X)<=>quiet(X)))&
((?[X]:(~happy(X)))<=>((creative(lucy)&old(lucy))))&
(![X]:((~tall(X)&~creative(X))<=>(quiet(X)&~strong(X))))&
(((~quiet(lucy)|rich(lucy)))<=>((patien... | ~happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7682831780492843385467809
% SZS output start Proof for 7682831780492843385467809
3. ! [X0] : (~happy(X0) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~strong(X0) & quiet(X0))) [input p4]
8. ! [X0] : ((strong(X0) | ~strong(X0)) => curious(X0)) [input p7]
10. ! [X... | 0 |
Everyone who is not creative or not tall is old. If someone is either curious or not old then lucy is both creative and brave and vice versa. Everyone who is wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Everyone who is funny or old is wise or not rich. Everyone who is both... | Susan is not happy. | entailment | (![X]:((~creative(X)|~tall(X))=>old(X)))&
((?[X]:((curious(X)<~>~old(X))))<=>((creative(lucy)&brave(lucy))))&
(![X]:(wise(X)=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(X))<=>(~creative(X)&quiet(X))))&
(![X]:(calm(... | ~happy(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4793004068565070771145313
% SZS output start Proof for 4793004068565070771145313
16. old(susan) & ~happy(susan) [input p15]
20. happy(susan) [input hypothesis]
111. ~happy(susan) [cnf transformation 16]
118. happy(susan) [cnf transformation 20]
211. $false [subsumption resolution 118,111]... | 0 |
Everyone who is not humble is patient or not brave and vice versa.
If fred is brave or not kind then paul is wise and vice versa.
If someone is either old or not generous then someone is both not humble and old and vice versa.
Everyone who is both not brave and not patient is either not curious or not humble and vice v... | Alice is not rich. | entailment | (![X]:(~humble(X)<=>(patient(X)|~brave(X))))&
(((brave(fred)|~kind(fred)))<=>(wise(paul)))&
((?[X]:((old(X)<~>~generous(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((~brave(X)&~patient(X))<=>(~curious(X)<~>~humble(X))))&
((?[X]:((creative(X)&~strong(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
((?[X]:((~creative(X)&happy... | ~rich(alice) | [
"p0",
"p3",
"p9",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1172482988272244016468874
% SZS output start Proof for 1172482988272244016468874
1. ! [X0] : (~humble(X0) <=> (~brave(X0) | patient(X0))) [input p0]
4. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (~curious(X0) <~> ~humble(X0))) [input p3]
10. ! [X0] : ((creative(X0) | wise(X0)) => (~patient... | 0 |
Everyone who is either strong or humble is patient.
Everyone who is either not rich or creative is either rich or not tall.
If someone is either not wise or strong then fred is either not brave or not rich.
If paul is not quiet or not creative then someone is wise or not patient and vice versa.
Everyone who is either q... | John is happy. | neutral | (![X]:((strong(X)<~>humble(X))=>patient(X)))&
(![X]:((~rich(X)<~>creative(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((~wise(X)<~>strong(X))))=>((~brave(fred)<~>~rich(fred))))&
(((~quiet(paul)|~creative(paul)))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((quiet(X)<~>~quiet(X))=>(~brave(X)<~>tall(X))))&
(![X]:((brave(X)&~humble(... | happy(john) | [] | null | 0 |
Everyone who is both kind and not old is not strong and vice versa.
If someone is either not generous or not kind then john is either not generous or not patient and vice versa.
If susan is funny or not curious then someone is kind or not curious and vice versa.
Everyone who is not quiet or rich is not brave.
If fred i... | Fred is rich. | neutral | (![X]:((kind(X)&~old(X))<=>~strong(X)))&
((?[X]:((~generous(X)<~>~kind(X))))<=>((~generous(john)<~>~patient(john))))&
(((funny(susan)|~curious(susan)))<=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((~quiet(X)|rich(X))=>~brave(X)))&
(((creative(fred)|rich(fred)))<=>(~curious(susan)))&
((funny(fred))=>((~wise(lucy)|~brave(lu... | rich(fred) | [] | null | 0 |
If someone is tall or happy then mary is both happy and generous and vice versa.
If lucy is funny or not curious then lucy is funny and vice versa.
Everyone who is both not quiet and not generous is not patient and vice versa.
Everyone who is humble is not wise and vice versa.
If someone is humble or not quiet then som... | Alice is happy. | contradiction | ((?[X]:((tall(X)|happy(X))))<=>((happy(mary)&generous(mary))))&
(((funny(lucy)|~curious(lucy)))<=>(funny(lucy)))&
(![X]:((~quiet(X)&~generous(X))<=>~patient(X)))&
(![X]:(humble(X)<=>~wise(X)))&
((?[X]:((humble(X)|~quiet(X))))=>(?[X]:(~happy(X))))&
(![X]:(~old(X)=>(happy(X)&~happy(X))))&
(![X]:(~happy(X)<=>(happy(X)|bra... | happy(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1849875132614129268373117
% SZS output start Proof for 1849875132614129268373117
7. ! [X0] : (~happy(X0) <=> (brave(X0) | happy(X0))) [input p6]
22. happy(alice) [input hypothesis]
48. ! [X0] : ((~happy(X0) | (~brave(X0) & ~happy(X0))) & ((brave(X0) | happy(X0)) | happy(X0))) [nnf transfo... | 0 |
Everyone who is rich or not brave is either calm or strong.
Everyone who is humble is both not quiet and generous.
If someone is either curious or creative then someone is either strong or not calm and vice versa.
If mary is both patient and not humble then someone is either not calm or creative.
Everyone who is both n... | Alice is kind. | entailment | (![X]:((rich(X)|~brave(X))=>(calm(X)<~>strong(X))))&
(![X]:(humble(X)=>(~quiet(X)&generous(X))))&
((?[X]:((curious(X)<~>creative(X))))<=>(?[X]:((strong(X)<~>~calm(X)))))&
(((patient(mary)&~humble(mary)))=>(?[X]:((~calm(X)<~>creative(X)))))&
(![X]:((~tall(X)&wise(X))<=>(~patient(X)<~>~calm(X))))&
(![X]:((~calm(X)<~>funn... | kind(alice) | [
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7284093471130454593757713
% SZS output start Proof for 7284093471130454593757713
9. ! [X0] : ((generous(X0) | ~tall(X0)) <=> (rich(X0) <~> calm(X0))) [input p8]
13. ! [X0] : (calm(X0) <=> (rich(X0) & funny(X0))) [input p12]
15. (old(fred) & calm(fred)) <=> ? [X0] : ~kind(X0) [input p14]
1... | 0 |
If mary is both not wise and not happy then paul is both not funny and curious and vice versa.
If paul is either not humble or not patient then john is either not tall or not calm and vice versa.
Everyone who is either not wise or not kind is not quiet or generous and vice versa.
Everyone who is either not rich or gene... | Lucy is not creative. | contradiction | (((~wise(mary)&~happy(mary)))<=>((~funny(paul)&curious(paul))))&
(((~humble(paul)<~>~patient(paul)))<=>((~tall(john)<~>~calm(john))))&
(![X]:((~wise(X)<~>~kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>generous(X))<=>(~kind(X)&~rich(X))))&
(![X]:((~happy(X)<~>generous(X))=>(happy(X)<~>~strong(X))))&
(((strong... | ~creative(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1248662183015180074117706
% SZS output start Proof for 1248662183015180074117706
11. ! [X0] : ((quiet(X0) | ~creative(X0)) => creative(X0)) [input p10]
24. ~creative(lucy) [input hypothesis]
30. ! [X0] : (creative(X0) | (~quiet(X0) & creative(X0))) [ennf transformation 11]
107. creative(X... | 0 |
Everyone who is either not humble or humble is both not wise and not happy and vice versa.
Everyone who is not patient is not creative or kind and vice versa.
Everyone who is not funny or not creative is curious and vice versa.
Everyone who is not rich or not happy is creative or not patient.
Everyone who is either not... | Fred is not funny. | contradiction | (![X]:((~humble(X)<~>humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~brave(X)&generou... | ~funny(fred) | [
"p0",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5577612034705508129761776
% SZS output start Proof for 5577612034705508129761776
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p0]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (generous(X0) & ~brave(X0))) [input p5]
12. ! [X0] : ((~funny(X0) <~> brave(X0)) ... | 0 |
Everyone who is kind is both not tall and kind. Everyone who is not tall is generous or not creative. Everyone who is both not kind and not strong is calm. If paul is both not quiet and quiet then someone is old and vice versa. If john is curious or not old then someone is not tall and vice versa. Everyone who is tall ... | Fred is not rich. | contradiction | (![X]:(kind(X)=>(~tall(X)&kind(X))))&
(![X]:(~tall(X)=>(generous(X)|~creative(X))))&
(![X]:((~kind(X)&~strong(X))=>calm(X)))&
(((~quiet(paul)&quiet(paul)))<=>(?[X]:(old(X))))&
(((curious(john)|~old(john)))<=>(?[X]:(~tall(X))))&
(![X]:(tall(X)<=>(~calm(X)|~rich(X))))&
((?[X]:((~rich(X)&kind(X))))=>(?[X]:(quiet(X))))&
((... | ~rich(fred) | [
"p0",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 664033439884320676331728
% SZS output start Proof for 664033439884320676331728
1. ! [X0] : (kind(X0) => (kind(X0) & ~tall(X0))) [input p0]
6. ! [X0] : (tall(X0) <=> (~rich(X0) | ~calm(X0))) [input p5]
17. kind(fred) & ~quiet(fred) [input p16]
24. ~rich(fred) [input hypothesis]
26. ! [X0] ... | 0 |
If fred is not curious then someone is creative or old and vice versa.
If someone is brave then john is kind or brave.
Everyone who is both not old and old is not quiet and vice versa.
Everyone who is both not happy and generous is both not humble and creative and vice versa.
Everyone who is generous is funny or humble... | John is strong. | neutral | ((~curious(fred))<=>(?[X]:((creative(X)|old(X)))))&
((?[X]:(brave(X)))=>((kind(john)|brave(john))))&
(![X]:((~old(X)&old(X))<=>~quiet(X)))&
(![X]:((~happy(X)&generous(X))<=>(~humble(X)&creative(X))))&
(![X]:(generous(X)=>(funny(X)|humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(((~happy(mary)<~>~f... | strong(john) | [] | null | 0 |
Everyone who is not brave or not funny is either old or strong and vice versa.
If someone is patient or not curious then someone is not brave or wise.
Everyone who is curious or not creative is kind and vice versa.
Everyone who is both quiet and not quiet is quiet.
Everyone who is calm or curious is not kind and vice v... | Lucy is creative. | entailment | (![X]:((~brave(X)|~funny(X))<=>(old(X)<~>strong(X))))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((curious(X)|~creative(X))<=>kind(X)))&
(![X]:((quiet(X)&~quiet(X))=>quiet(X)))&
(![X]:((calm(X)|curious(X))<=>~kind(X)))&
(![X]:((brave(X)|~quiet(X))=>generous(X)))&
(![X]:(humble(X)=>(brave(... | creative(lucy) | [
"p0",
"p2",
"p4",
"p6",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5408567260872277264298920
% SZS output start Proof for 5408567260872277264298920
1. ! [X0] : ((~funny(X0) | ~brave(X0)) <=> (old(X0) <~> strong(X0))) [input p0]
3. ! [X0] : ((~creative(X0) | curious(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : ((curious(X0) | calm(X0)) <=> ~kind(X0)) [input ... | 0 |
Everyone who is not brave or generous is either not calm or not old and vice versa.
If someone is both not funny and not curious then someone is either generous or not humble and vice versa.
If someone is both kind and not strong then susan is both not kind and old.
Everyone who is both kind and not patient is either n... | Susan is kind. | neutral | (![X]:((~brave(X)|generous(X))<=>(~calm(X)<~>~old(X))))&
((?[X]:((~funny(X)&~curious(X))))<=>(?[X]:((generous(X)<~>~humble(X)))))&
((?[X]:((kind(X)&~strong(X))))=>((~kind(susan)&old(susan))))&
(![X]:((kind(X)&~patient(X))<=>(~quiet(X)<~>~wise(X))))&
(![X]:((~wise(X)|kind(X))=>(humble(X)<~>funny(X))))&
(![X]:((~rich(X)&... | kind(susan) | [] | null | 0 |
If alice is calm or wise then someone is both curious and not kind and vice versa.
Everyone who is not calm is not quiet.
Everyone who is either not curious or not tall is either not creative or curious and vice versa.
If someone is either patient or curious then paul is not strong or not wise.
Everyone who is either n... | John is generous. | entailment | (((calm(alice)|wise(alice)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:(~calm(X)=>~quiet(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~creative(X)<~>curious(X))))&
((?[X]:((patient(X)<~>curious(X))))=>((~strong(paul)|~wise(paul))))&
(![X]:((~curious(X)<~>brave(X))=>tall(X)))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)|wise(X)))... | generous(john) | [
"p2",
"p6",
"p10",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2767422468191173797835667
% SZS output start Proof for 2767422468191173797835667
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (~creative(X0) <~> curious(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) <=> (quiet(X0) | old(X0))) [input p6]
11. ! [X0] : (~quiet(X0) <=> (~wise(... | 0 |
Everyone who is both wise and not old is kind or humble and vice versa. If susan is either tall or happy then alice is either not patient or humble. If alice is both not kind and not generous then paul is either humble or wise and vice versa. Everyone who is tall or generous is not happy. Everyone who is quiet or not p... | Susan is kind. | neutral | (![X]:((wise(X)&~old(X))<=>(kind(X)|humble(X))))&
(((tall(susan)<~>happy(susan)))=>((~patient(alice)<~>humble(alice))))&
(((~kind(alice)&~generous(alice)))<=>((humble(paul)<~>wise(paul))))&
(![X]:((tall(X)|generous(X))=>~happy(X)))&
(![X]:((quiet(X)|~patient(X))<=>~humble(X)))&
(![X]:(humble(X)<=>~quiet(X)))&
(![X]:(~c... | kind(susan) | [] | null | 0 |
Everyone who is either not old or not tall is both not strong and old and vice versa.
If someone is not funny then john is both not strong and not funny.
Everyone who is both not curious and kind is calm and vice versa.
If someone is not tall or not patient then someone is not kind.
Everyone who is both not kind and no... | Mary is humble. | neutral | (![X]:((~old(X)<~>~tall(X))<=>(~strong(X)&old(X))))&
((?[X]:(~funny(X)))=>((~strong(john)&~funny(john))))&
(![X]:((~curious(X)&kind(X))<=>calm(X)))&
((?[X]:((~tall(X)|~patient(X))))=>(?[X]:(~kind(X))))&
(![X]:((~kind(X)&~patient(X))<=>quiet(X)))&
((?[X]:((~strong(X)&~tall(X))))<=>((~patient(paul)|curious(paul))))&
((?[... | humble(mary) | [] | null | 0 |
Everyone who is both funny and not happy is not creative or happy and vice versa.
Everyone who is both brave and kind is not funny or happy and vice versa.
If paul is both not kind and happy then someone is kind or not tall.
If paul is either not old or not humble then someone is not creative and vice versa.
If lucy is... | Fred is creative. | contradiction | (![X]:((funny(X)&~happy(X))<=>(~creative(X)|happy(X))))&
(![X]:((brave(X)&kind(X))<=>(~funny(X)|happy(X))))&
(((~kind(paul)&happy(paul)))=>(?[X]:((kind(X)|~tall(X)))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:(~creative(X))))&
(((~funny(lucy)|funny(lucy)))<=>((creative(mary)&~rich(mary))))&
(![X]:((~creative(X)<~>~quie... | creative(fred) | [
"p0",
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4151691970220390514297853
% SZS output start Proof for 4151691970220390514297853
1. ! [X0] : ((~happy(X0) & funny(X0)) <=> (happy(X0) | ~creative(X0))) [input p0]
2. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~funny(X0))) [input p1]
18. ~brave(fred) | happy(fred) [input p17]
22. cr... | 0 |
If paul is happy or tall then someone is either not kind or not happy. Everyone who is either funny or rich is both wise and not funny. If mary is both not generous and happy then someone is either not curious or humble and vice versa. Everyone who is kind is both not patient and quiet and vice versa. Everyone who is e... | Alice is not happy. | neutral | (((happy(paul)|tall(paul)))=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:((funny(X)<~>rich(X))=>(wise(X)&~funny(X))))&
(((~generous(mary)&happy(mary)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(![X]:(kind(X)<=>(~patient(X)&quiet(X))))&
(![X]:((quiet(X)<~>~old(X))<=>(~old(X)&~happy(X))))&
(![X]:((~wise(X)|~generous(X))<=>(~ca... | ~happy(alice) | [] | null | 0 |
Everyone who is rich is either humble or not patient.
If john is both brave and humble then someone is wise or tall.
If someone is either not brave or humble then someone is either not creative or tall and vice versa.
Everyone who is not wise or not quiet is not humble and vice versa.
Everyone who is both rich and curi... | Alice is happy. | neutral | (![X]:(rich(X)=>(humble(X)<~>~patient(X))))&
(((brave(john)&humble(john)))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((~brave(X)<~>humble(X))))<=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((~wise(X)|~quiet(X))<=>~humble(X)))&
(![X]:((rich(X)&curious(X))=>(~creative(X)<~>~curious(X))))&
(![X]:((generous(X)&kind(X))=>~kind(X)... | happy(alice) | [] | null | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | Mary is creative. | entailment | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | creative(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1461023903682976792355914
% SZS output start Proof for 1461023903682976792355914
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ... | 0 |
If someone is not brave or not creative then alice is either patient or funny.
Everyone who is generous is either kind or not funny and vice versa.
Everyone who is generous is calm and vice versa.
Everyone who is either tall or not tall is both curious and creative and vice versa.
Everyone who is calm or not funny is n... | John is tall. | contradiction | ((?[X]:((~brave(X)|~creative(X))))=>((patient(alice)<~>funny(alice))))&
(![X]:(generous(X)<=>(kind(X)<~>~funny(X))))&
(![X]:(generous(X)<=>calm(X)))&
(![X]:((tall(X)<~>~tall(X))<=>(curious(X)&creative(X))))&
(![X]:((calm(X)|~funny(X))=>(~funny(X)|~generous(X))))&
((?[X]:((curious(X)<~>~happy(X))))<=>((~funny(fred)<~>br... | tall(john) | [
"p2",
"p3",
"p4",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2973341812085316172351546
% SZS output start Proof for 2973341812085316172351546
3. ! [X0] : (generous(X0) <=> calm(X0)) [input p2]
4. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (creative(X0) & curious(X0))) [input p3]
5. ! [X0] : ((~funny(X0) | calm(X0)) => (~generous(X0) | ~funny(X0))) [inp... | 0 |
If fred is old or patient then john is either creative or not creative. Everyone who is not old or creative is both not rich and not humble. Everyone who is old or not rich is both not curious and not wise and vice versa. Everyone who is rich is both rich and not happy. If john is either not patient or not kind then lu... | John is creative. | entailment | (((old(fred)|patient(fred)))=>((creative(john)<~>~creative(john))))&
(![X]:((~old(X)|creative(X))=>(~rich(X)&~humble(X))))&
(![X]:((old(X)|~rich(X))<=>(~curious(X)&~wise(X))))&
(![X]:(rich(X)=>(rich(X)&~happy(X))))&
(((~patient(john)<~>~kind(john)))<=>((~strong(lucy)&~happy(lucy))))&
(((~generous(susan)&generous(susan)... | creative(john) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3531122504612053034546223
% SZS output start Proof for 3531122504612053034546223
2. ! [X0] : ((creative(X0) | ~old(X0)) => (~humble(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | old(X0)) <=> (~wise(X0) & ~curious(X0))) [input p2]
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (kin... | 0 |
If someone is patient then paul is both not tall and not strong and vice versa. Everyone who is rich or not generous is both curious and kind. Everyone who is not creative is kind or not wise. Everyone who is not brave is both generous and not kind. If john is either not patient or curious then someone is patient or ta... | Paul is not rich. | entailment | ((?[X]:(patient(X)))<=>((~tall(paul)&~strong(paul))))&
(![X]:((rich(X)|~generous(X))=>(curious(X)&kind(X))))&
(![X]:(~creative(X)=>(kind(X)|~wise(X))))&
(![X]:(~brave(X)=>(generous(X)&~kind(X))))&
(((~patient(john)<~>curious(john)))<=>(?[X]:((patient(X)|tall(X)))))&
(![X]:((~funny(X)&humble(X))=>(patient(X)<~>funny(X))... | ~rich(paul) | [
"p0",
"p1",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5451664704593798560862729
% SZS output start Proof for 5451664704593798560862729
1. ? [X0] : patient(X0) <=> (~strong(paul) & ~tall(paul)) [input p0]
2. ! [X0] : ((~generous(X0) | rich(X0)) => (kind(X0) & curious(X0))) [input p1]
8. ! [X0] : ((quiet(X0) | ~tall(X0)) => ~curious(X0)) [inpu... | 0 |
Everyone who is not rich or not curious is either not quiet or not humble.
Everyone who is not wise or funny is both not strong and happy.
Everyone who is both quiet and not happy is either not kind or not happy and vice versa.
If someone is either not generous or not quiet then someone is not rich or not funny and vic... | Susan is calm. | entailment | (![X]:((~rich(X)|~curious(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((~wise(X)|funny(X))=>(~strong(X)&happy(X))))&
(![X]:((quiet(X)&~happy(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>(?[X]:((~rich(X)|~funny(X)))))&
((?[X]:(~patient(X)))<=>((~tall(mary)|~strong(mary))))&
(((rich(susan)<~>~quiet(s... | calm(susan) | [
"p0",
"p9",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2562847578697533454223636
% SZS output start Proof for 2562847578697533454223636
1. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p0]
10. ! [X0] : ((curious(X0) | ~curious(X0)) => rich(X0)) [input p9]
13. ! [X0] : (curious(X0) <=> (quiet(X0) & ~rich(X0))) [i... | 0 |
If mary is rich then someone is quiet and vice versa. If someone is either not kind or not old then someone is brave or not creative and vice versa. If paul is not funny or tall then someone is both not old and not curious. Everyone who is not happy is both not happy and rich and vice versa. If alice is either not pati... | Alice is rich. | contradiction | ((rich(mary))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(((~funny(paul)|tall(paul)))=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~happy(X)<=>(~happy(X)&rich(X))))&
(((~patient(alice)<~>humble(alice)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<... | rich(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3497472681172803831582436
% SZS output start Proof for 3497472681172803831582436
14. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) [input p13]
24. rich(alice) [input hypothesis]
41. ! [X0] : (~rich(X0) | (~rich(X0) & ~creative(X0))) [ennf transformation 14]
118. ~rich(X0) | ~rich(X0) ... | 0 |
Everyone who is generous or not kind is not brave or creative.
If someone is either not funny or wise then lucy is both not patient and wise and vice versa.
Everyone who is either brave or not curious is calm or not wise.
Everyone who is creative is calm or not strong and vice versa.
Everyone who is not creative or not... | Fred is rich. | neutral | (![X]:((generous(X)|~kind(X))=>(~brave(X)|creative(X))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((~patient(lucy)&wise(lucy))))&
(![X]:((brave(X)<~>~curious(X))=>(calm(X)|~wise(X))))&
(![X]:(creative(X)<=>(calm(X)|~strong(X))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred))<=>(?[X]:(funny(X))))&
(![X]:((~calm... | rich(fred) | [] | null | 0 |
If susan is both not calm and kind then mary is happy and vice versa.
Everyone who is both brave and strong is both curious and not humble and vice versa.
If mary is both not patient and not generous then paul is not funny or not kind.
If someone is funny or not generous then alice is both not humble and not happy and ... | Mary is old. | neutral | (((~calm(susan)&kind(susan)))<=>(happy(mary)))&
(![X]:((brave(X)&strong(X))<=>(curious(X)&~humble(X))))&
(((~patient(mary)&~generous(mary)))=>((~funny(paul)|~kind(paul))))&
((?[X]:((funny(X)|~generous(X))))<=>((~humble(alice)&~happy(alice))))&
((~funny(alice))=>(~old(susan)))&
((tall(paul))<=>(?[X]:((~strong(X)|~brave(... | old(mary) | [] | null | 0 |
If lucy is either old or not happy then mary is tall.
Everyone who is quiet is either not patient or not strong and vice versa.
If someone is not wise or not humble then someone is both not kind and not quiet and vice versa.
If susan is either patient or not funny then someone is not brave and vice versa.
If someone is... | Mary is quiet. | entailment | (((old(lucy)<~>~happy(lucy)))=>(tall(mary)))&
(![X]:(quiet(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((~wise(X)|~humble(X))))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(((patient(susan)<~>~funny(susan)))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|calm(X))))=>((tall(lucy)<~>~brave(lucy))))&
((?[X]:((wise(X)|~tall(X))))<=>(happy(... | quiet(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5833075858368324148187078
% SZS output start Proof for 5833075858368324148187078
13. ! [X0] : ((old(X0) & ~old(X0)) <=> ~quiet(X0)) [input p12]
25. ~quiet(mary) [input hypothesis]
56. ! [X0] : (((old(X0) & ~old(X0)) | quiet(X0)) & (~quiet(X0) | (~old(X0) | old(X0)))) [nnf transformation 1... | 0 |
If someone is tall then someone is not wise and vice versa.
Everyone who is calm or creative is both not kind and not humble and vice versa.
If someone is both not funny and generous then someone is strong.
Everyone who is not generous or not humble is not kind or quiet.
If someone is both curious and not generous then... | Mary is not kind. | entailment | ((?[X]:(tall(X)))<=>(?[X]:(~wise(X))))&
(![X]:((calm(X)|creative(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((~funny(X)&generous(X))))=>(?[X]:(strong(X))))&
(![X]:((~generous(X)|~humble(X))=>(~kind(X)|quiet(X))))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:(~quiet(X))))&
(((calm(mary)<~>generous(mary)))<=>((~wise(alice)&~qu... | ~kind(mary) | [
"p1",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1186768906956396263187341
% SZS output start Proof for 1186768906956396263187341
2. ! [X0] : ((creative(X0) | calm(X0)) <=> (~humble(X0) & ~kind(X0))) [input p1]
23. kind(mary) <~> ~calm(mary) [input p22]
24. kind(mary) [input hypothesis]
43. ! [X0] : (((creative(X0) | calm(X0)) | (humble... | 0 |
If someone is either not calm or wise then alice is both patient and creative and vice versa. If someone is both curious and tall then someone is both rich and not rich. Everyone who is not happy is quiet or not quiet and vice versa. Everyone who is not strong or rich is both not curious and not kind and vice versa. If... | Mary is brave. | contradiction | ((?[X]:((~calm(X)<~>wise(X))))<=>((patient(alice)&creative(alice))))&
((?[X]:((curious(X)&tall(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(~happy(X)<=>(quiet(X)|~quiet(X))))&
(![X]:((~strong(X)|rich(X))<=>(~curious(X)&~kind(X))))&
(((wise(susan)&kind(susan)))=>((~strong(susan)|curious(susan))))&
(![X]:((~wise(X)|~quiet... | brave(mary) | [
"p3",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5000755132352232119437085
% SZS output start Proof for 5000755132352232119437085
4. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (~kind(X0) & ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (wise(X0) <~> ~brave(X0))) [input p5]
8. ? [X0] : (~tall(X0) <~> ~kind(X0)) <=> ? [X0... | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Lucy is calm. | entailment | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | calm(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1097501622279863750836699
% SZS output start Proof for 1097501622279863750836699
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~patient(X0)) => (~quiet(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ... | 0 |
Everyone who is either not rich or not funny is not calm.
If fred is not creative or old then someone is both not brave and humble and vice versa.
If mary is calm or generous then someone is not brave and vice versa.
Everyone who is both quiet and old is quiet.
Everyone who is both humble and curious is both not strong... | John is tall. | neutral | (![X]:((~rich(X)<~>~funny(X))=>~calm(X)))&
(((~creative(fred)|old(fred)))<=>(?[X]:((~brave(X)&humble(X)))))&
(((calm(mary)|generous(mary)))<=>(?[X]:(~brave(X))))&
(![X]:((quiet(X)&old(X))=>quiet(X)))&
(![X]:((humble(X)&curious(X))<=>(~strong(X)&~tall(X))))&
(![X]:((curious(X)<~>funny(X))<=>~tall(X)))&
(![X]:((tall(X)|c... | tall(john) | [] | null | 0 |
If john is both strong and curious then someone is old and vice versa.
Everyone who is either rich or not humble is either not kind or not wise.
If someone is either not wise or wise then susan is not strong.
If someone is both curious and not funny then someone is both funny and not old.
Everyone who is humble is eith... | John is tall. | entailment | (((strong(john)&curious(john)))<=>(?[X]:(old(X))))&
(![X]:((rich(X)<~>~humble(X))=>(~kind(X)<~>~wise(X))))&
((?[X]:((~wise(X)<~>wise(X))))=>(~strong(susan)))&
((?[X]:((curious(X)&~funny(X))))=>(?[X]:((funny(X)&~old(X)))))&
(![X]:(humble(X)<=>(~brave(X)<~>~generous(X))))&
((?[X]:(creative(X)))<=>((~funny(alice)<~>~kind(... | tall(john) | [
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2467980556129555916876520
% SZS output start Proof for 2467980556129555916876520
7. ? [X0] : (funny(X0) <~> ~patient(X0)) <=> (wise(paul) & generous(paul)) [input p6]
8. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (old(X0) | ~patient(X0))) [input p7]
10. ! [X0] : ((patient(X0) | ~rich(X0)) <=> ... | 0 |
Everyone who is either quiet or not strong is not curious and vice versa.
Everyone who is not calm or not creative is quiet and vice versa.
Everyone who is not curious or kind is both old and calm and vice versa.
Everyone who is not patient or not humble is not creative or not tall and vice versa.
Everyone who is eithe... | Susan is brave. | contradiction | (![X]:((quiet(X)<~>~strong(X))<=>~curious(X)))&
(![X]:((~calm(X)|~creative(X))<=>quiet(X)))&
(![X]:((~curious(X)|kind(X))<=>(old(X)&calm(X))))&
(![X]:((~patient(X)|~humble(X))<=>(~creative(X)|~tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>(rich(X)|kind(X))))&
(((~old(john)<~>~calm(john)))<=>((~patient(alice)&~strong(alice)... | brave(susan) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p13",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 575690672302266216176094
% SZS output start Proof for 575690672302266216176094
1. ! [X0] : ((quiet(X0) <~> ~strong(X0)) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((kind(X0) | ~curious(X0)) <=> (calm(X0) & old(X0))) [input p... | 0 |
Everyone who is both not tall and kind is happy or not kind. Everyone who is not old or not kind is both not old and not calm and vice versa. Everyone who is not wise or not strong is both old and not patient. If susan is happy then susan is calm or not wise and vice versa. If lucy is either not calm or calm then someo... | Susan is not quiet. | entailment | (![X]:((~tall(X)&kind(X))=>(happy(X)|~kind(X))))&
(![X]:((~old(X)|~kind(X))<=>(~old(X)&~calm(X))))&
(![X]:((~wise(X)|~strong(X))=>(old(X)&~patient(X))))&
((happy(susan))<=>((calm(susan)|~wise(susan))))&
(((~calm(lucy)<~>calm(lucy)))=>(?[X]:(~curious(X))))&
(![X]:((~generous(X)|~calm(X))=>(~creative(X)&funny(X))))&
(![X... | ~quiet(susan) | [
"p2",
"p5",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7214580080109953087575479
% SZS output start Proof for 7214580080109953087575479
3. ! [X0] : ((~strong(X0) | ~wise(X0)) => (~patient(X0) & old(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | ~generous(X0)) => (funny(X0) & ~creative(X0))) [input p5]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~ri... | 0 |
If someone is both not quiet and not wise then fred is both not funny and curious. Everyone who is both kind and not old is both not kind and not wise. Everyone who is either tall or kind is not creative or patient. Everyone who is brave or generous is both not rich and not humble. Everyone who is not patient or patien... | Mary is creative. | neutral | ((?[X]:((~quiet(X)&~wise(X))))=>((~funny(fred)&curious(fred))))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&~wise(X))))&
(![X]:((tall(X)<~>kind(X))=>(~creative(X)|patient(X))))&
(![X]:((brave(X)|generous(X))=>(~rich(X)&~humble(X))))&
(![X]:((~patient(X)|patient(X))=>(humble(X)&patient(X))))&
(![X]:((~curious(X)&~strong(X))=>(... | creative(mary) | [] | null | 0 |
Everyone who is both wise and not generous is both not wise and brave and vice versa.
Everyone who is both tall and quiet is both patient and calm and vice versa.
If lucy is not creative or not old then someone is both curious and not calm and vice versa.
Everyone who is both tall and not patient is tall and vice versa... | Lucy is strong. | neutral | (![X]:((wise(X)&~generous(X))<=>(~wise(X)&brave(X))))&
(![X]:((tall(X)&quiet(X))<=>(patient(X)&calm(X))))&
(((~creative(lucy)|~old(lucy)))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((tall(X)&~patient(X))<=>tall(X)))&
(![X]:((~patient(X)|generous(X))=>(old(X)&~generous(X))))&
((?[X]:((happy(X)&quiet(X))))=>(?[X]:(~calm(X... | strong(lucy) | [] | null | 0 |
If paul is not funny then someone is not tall and vice versa.
Everyone who is not humble is old or creative and vice versa.
If someone is not happy or not tall then alice is kind.
Everyone who is not old or not creative is both wise and not curious.
If fred is calm or not patient then alice is not brave.
Everyone who i... | Lucy is not generous. | contradiction | ((~funny(paul))<=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(old(X)|creative(X))))&
((?[X]:((~happy(X)|~tall(X))))=>(kind(alice)))&
(![X]:((~old(X)|~creative(X))=>(wise(X)&~curious(X))))&
(((calm(fred)|~patient(fred)))=>(~brave(alice)))&
(![X]:(~happy(X)<=>(kind(X)<~>old(X))))&
((?[X]:((~humble(X)|old(X))))=>((wise(lucy)... | ~generous(lucy) | [
"p1",
"p3",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 757026807426751035156189
% SZS output start Proof for 757026807426751035156189
2. ! [X0] : (~humble(X0) <=> (creative(X0) | old(X0))) [input p1]
4. ! [X0] : ((~creative(X0) | ~old(X0)) => (~curious(X0) & wise(X0))) [input p3]
9. ! [X0] : (old(X0) <=> (~funny(X0) & humble(X0))) [input p8]
... | 0 |
Everyone who is kind is funny or not rich.
If paul is not funny or calm then paul is not generous or humble and vice versa.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both not generous and not humble.
If someone is either patient or funny then someone is either br... | Alice is rich. | contradiction | (![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:(~creative(X)=>~patient(X)))&
((?[X... | rich(alice) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 440237105911888519912153
% SZS output start Proof for 440237105911888519912153
6. ! [X0] : (~creative(X0) => ~patient(X0)) [input p5]
7. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p6]
9. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) <~> rich(X0))) [input p8]
... | 0 |
Everyone who is both curious and old is either not strong or funny and vice versa. Everyone who is either not creative or not tall is either wise or not calm and vice versa. Everyone who is both not kind and rich is wise or tall and vice versa. If fred is not patient then lucy is both patient and not brave and vice ver... | Susan is not rich. | contradiction | (![X]:((curious(X)&old(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~creative(X)<~>~tall(X))<=>(wise(X)<~>~calm(X))))&
(![X]:((~kind(X)&rich(X))<=>(wise(X)|tall(X))))&
((~patient(fred))<=>((patient(lucy)&~brave(lucy))))&
(((curious(mary)|~happy(mary)))=>(?[X]:((strong(X)<~>~wise(X)))))&
(![X]:((tall(X)<~>curious(X))=>(calm... | ~rich(susan) | [
"p2",
"p5",
"p10",
"p13",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4561021526638166092121358
% SZS output start Proof for 4561021526638166092121358
3. ! [X0] : ((rich(X0) & ~kind(X0)) <=> (tall(X0) | wise(X0))) [input p2]
6. ! [X0] : ((tall(X0) <~> curious(X0)) => (quiet(X0) & calm(X0))) [input p5]
11. ! [X0] : ((~tall(X0) <~> curious(X0)) => (rich(X0) <... | 0 |
If someone is either curious or creative then someone is not strong and vice versa.
Everyone who is either not creative or brave is either not happy or not generous and vice versa.
If susan is funny or tall then fred is funny or humble and vice versa.
Everyone who is both wise and curious is both happy and not brave an... | Paul is curious. | contradiction | ((?[X]:((curious(X)<~>creative(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(~happy(X)<~>~generous(X))))&
(((funny(susan)|tall(susan)))<=>((funny(fred)|humble(fred))))&
(![X]:((wise(X)&curious(X))<=>(happy(X)&~brave(X))))&
((?[X]:((patient(X)|~kind(X))))<=>((calm(paul)|~rich(paul))))&
((~quiet(alice... | curious(paul) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2325847269077814746517523
% SZS output start Proof for 2325847269077814746517523
11. (~quiet(paul) & ~curious(paul)) <=> (strong(john) | calm(john)) [input p10]
20. calm(john) [input p19]
24. curious(paul) [input hypothesis]
61. ((~quiet(paul) & ~curious(paul)) | (~strong(john) & ~calm(jo... | 0 |
If someone is both quiet and creative then mary is strong and vice versa.
Everyone who is either humble or not patient is either not rich or strong.
If someone is either not happy or kind then someone is kind and vice versa.
Everyone who is calm is not quiet or generous.
Everyone who is not old is kind and vice versa.
... | Lucy is creative. | contradiction | ((?[X]:((quiet(X)&creative(X))))<=>(strong(mary)))&
(![X]:((humble(X)<~>~patient(X))=>(~rich(X)<~>strong(X))))&
((?[X]:((~happy(X)<~>kind(X))))<=>(?[X]:(kind(X))))&
(![X]:(calm(X)=>(~quiet(X)|generous(X))))&
(![X]:(~old(X)<=>kind(X)))&
(![X]:((~kind(X)&generous(X))=>(~strong(X)&wise(X))))&
(![X]:(curious(X)<=>(~kind(X)... | creative(lucy) | [
"p4",
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7974663204662443727693800
% SZS output start Proof for 7974663204662443727693800
5. ! [X0] : (~old(X0) <=> kind(X0)) [input p4]
8. ? [X0] : (quiet(X0) <~> old(X0)) <=> (tall(lucy) & ~creative(lucy)) [input p7]
9. ? [X0] : (~quiet(X0) | kind(X0)) => ? [X0] : (old(X0) <~> quiet(X0)) [input ... | 0 |
Everyone who is either not curious or generous is wise and vice versa.
Everyone who is either not wise or not strong is not creative or rich.
Everyone who is generous or not calm is either patient or not humble and vice versa.
If lucy is either not happy or calm then someone is either curious or not curious and vice ve... | Mary is not kind. | neutral | (![X]:((~curious(X)<~>generous(X))<=>wise(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~creative(X)|rich(X))))&
(![X]:((generous(X)|~calm(X))<=>(patient(X)<~>~humble(X))))&
(((~happy(lucy)<~>calm(lucy)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((happy(alice))<=>(?[X]:((wise(X)|~happy(X)))))&
((~creative(susan))<=>(?[X]:((~ca... | ~kind(mary) | [] | null | 0 |
Everyone who is funny or wise is happy.
Everyone who is both patient and rich is not funny and vice versa.
If lucy is not humble or happy then susan is either not wise or happy and vice versa.
If someone is not brave or brave then lucy is either not quiet or curious.
Everyone who is either old or wise is both not creat... | Susan is not old. | neutral | (![X]:((funny(X)|wise(X))=>happy(X)))&
(![X]:((patient(X)&rich(X))<=>~funny(X)))&
(((~humble(lucy)|happy(lucy)))<=>((~wise(susan)<~>happy(susan))))&
((?[X]:((~brave(X)|brave(X))))=>((~quiet(lucy)<~>curious(lucy))))&
(![X]:((old(X)<~>wise(X))<=>(~creative(X)&~funny(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>kind(X)))&
((?... | ~old(susan) | [] | null | 0 |
Everyone who is either strong or not patient is not old and vice versa.
Everyone who is either not funny or quiet is both not wise and generous and vice versa.
If paul is both not creative and creative then someone is strong.
If lucy is not old then someone is not brave or quiet.
If someone is both wise and calm then s... | Mary is not quiet. | neutral | (![X]:((strong(X)<~>~patient(X))<=>~old(X)))&
(![X]:((~funny(X)<~>quiet(X))<=>(~wise(X)&generous(X))))&
(((~creative(paul)&creative(paul)))=>(?[X]:(strong(X))))&
((~old(lucy))=>(?[X]:((~brave(X)|quiet(X)))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((funny(X)|brave(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~humble(X)))... | ~quiet(mary) | [] | null | 0 |
If paul is not happy or generous then fred is either tall or not curious.
If paul is both humble and calm then john is not old or not calm and vice versa.
If susan is funny then susan is both quiet and rich and vice versa.
If paul is not curious then john is either not rich or quiet and vice versa.
If someone is not ge... | Fred is humble. | contradiction | (((~happy(paul)|generous(paul)))=>((tall(fred)<~>~curious(fred))))&
(((humble(paul)&calm(paul)))<=>((~old(john)|~calm(john))))&
((funny(susan))<=>((quiet(susan)&rich(susan))))&
((~curious(paul))<=>((~rich(john)<~>quiet(john))))&
((?[X]:((~generous(X)|~tall(X))))<=>(wise(fred)))&
((?[X]:((generous(X)|~generous(X))))=>((... | humble(fred) | [
"p4",
"p6",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6278704857214683806982141
% SZS output start Proof for 6278704857214683806982141
5. ? [X0] : (~tall(X0) | ~generous(X0)) <=> wise(fred) [input p4]
7. ? [X0] : ~happy(X0) => (~humble(fred) | ~wise(fred)) [input p6]
11. ! [X0] : ((~happy(X0) <~> ~generous(X0)) <=> (~old(X0) & generous(X0)))... | 0 |
If paul is both not kind and happy then someone is both not patient and wise. If susan is not rich then someone is not kind and vice versa. Everyone who is wise or not wise is both not wise and generous. Everyone who is either humble or quiet is both not rich and not tall and vice versa. Everyone who is not creative is... | Alice is not creative. | entailment | (((~kind(paul)&happy(paul)))=>(?[X]:((~patient(X)&wise(X)))))&
((~rich(susan))<=>(?[X]:(~kind(X))))&
(![X]:((wise(X)|~wise(X))=>(~wise(X)&generous(X))))&
(![X]:((humble(X)<~>quiet(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~creative(X)<=>~wise(X)))&
(((~wise(alice)|~patient(alice)))=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:(str... | ~creative(alice) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9216547754290044508611777
% SZS output start Proof for 9216547754290044508611777
3. ! [X0] : ((~wise(X0) | wise(X0)) => (generous(X0) & ~wise(X0))) [input p2]
5. ! [X0] : (~creative(X0) <=> ~wise(X0)) [input p4]
24. creative(alice) [input hypothesis]
30. ! [X0] : ((generous(X0) & ~wise(X0... | 0 |
If someone is either not brave or calm then someone is either not curious or quiet and vice versa.
Everyone who is not funny is brave.
Everyone who is either not rich or creative is both curious and not funny and vice versa.
If someone is both not tall and not quiet then paul is either not calm or wise and vice versa.
... | Susan is kind. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
(![X]:(~funny(X)=>brave(X)))&
(![X]:((~rich(X)<~>creative(X))<=>(curious(X)&~funny(X))))&
((?[X]:((~tall(X)&~quiet(X))))<=>((~calm(paul)<~>wise(paul))))&
(((~calm(susan)&~kind(susan)))<=>(?[X]:(calm(X))))&
((~patient(susan))<=>((tall(john)<~>~old(joh... | kind(susan) | [] | null | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Paul is kind. | entailment | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | kind(paul) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6425395034958596307529768
% SZS output start Proof for 6425395034958596307529768
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
6. ? [X0] : (happy(X0) | ~rich(X0)) <=> quiet(susan) [input p5]
8. ! [... | 0 |
If someone is happy or not patient then mary is both tall and kind and vice versa. Everyone who is not funny is not generous or not brave and vice versa. Everyone who is happy is both not creative and rich. Everyone who is not wise or quiet is either not strong or humble and vice versa. If someone is not humble then al... | Alice is kind. | entailment | ((?[X]:((happy(X)|~patient(X))))<=>((tall(mary)&kind(mary))))&
(![X]:(~funny(X)<=>(~generous(X)|~brave(X))))&
(![X]:(happy(X)=>(~creative(X)&rich(X))))&
(![X]:((~wise(X)|quiet(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:(~humble(X)))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|rich(X))))&
... | kind(alice) | [
"p0",
"p2",
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8381528105497377041164543
% SZS output start Proof for 8381528105497377041164543
1. ? [X0] : (~patient(X0) | happy(X0)) <=> (kind(mary) & tall(mary)) [input p0]
3. ! [X0] : (happy(X0) => (rich(X0) & ~creative(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~curious(X0)) <=> tall(X0)) [inpu... | 0 |
If mary is either rich or happy then someone is not wise or kind and vice versa.
Everyone who is not quiet is both not quiet and humble and vice versa.
Everyone who is both not generous and brave is both rich and not kind.
Everyone who is either wise or old is either not old or curious.
If lucy is quiet or rich then so... | Mary is quiet. | entailment | (((rich(mary)<~>happy(mary)))<=>(?[X]:((~wise(X)|kind(X)))))&
(![X]:(~quiet(X)<=>(~quiet(X)&humble(X))))&
(![X]:((~generous(X)&brave(X))=>(rich(X)&~kind(X))))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>curious(X))))&
(((quiet(lucy)|rich(lucy)))=>(?[X]:((~happy(X)|strong(X)))))&
((?[X]:((~quiet(X)|calm(X))))<=>(?[X]:((~calm... | quiet(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3179854674650877090350149
% SZS output start Proof for 3179854674650877090350149
7. ? [X0] : (~strong(X0) <~> strong(X0)) => (quiet(mary) & ~rich(mary)) [input p6]
23. ~quiet(mary) [input hypothesis]
32. (quiet(mary) & ~rich(mary)) | ! [X0] : (~strong(X0) <=> strong(X0)) [ennf transformat... | 0 |
If susan is both humble and not brave then someone is not calm or curious and vice versa. If someone is happy then fred is not calm. If someone is patient then susan is either humble or rich. Everyone who is both not calm and quiet is quiet. If someone is either old or not rich then someone is not creative or curious a... | Susan is not calm. | contradiction | (((humble(susan)&~brave(susan)))<=>(?[X]:((~calm(X)|curious(X)))))&
((?[X]:(happy(X)))=>(~calm(fred)))&
((?[X]:(patient(X)))=>((humble(susan)<~>rich(susan))))&
(![X]:((~calm(X)&quiet(X))=>quiet(X)))&
((?[X]:((old(X)<~>~rich(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:(~old(X)=>(~tall(X)|curious(X))))&
(![X]:((hu... | ~calm(susan) | [
"p0",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1580286636108090199620189
% SZS output start Proof for 1580286636108090199620189
1. (~brave(susan) & humble(susan)) <=> ? [X0] : (curious(X0) | ~calm(X0)) [input p0]
10. ! [X0] : ((old(X0) | wise(X0)) => (calm(X0) & wise(X0))) [input p9]
16. ! [X0] : (~brave(X0) <=> wise(X0)) [input p15]
... | 0 |
Everyone who is not rich is either not calm or brave and vice versa.
Everyone who is either funny or not quiet is both humble and not tall and vice versa.
Everyone who is not old or kind is not quiet or brave.
Everyone who is either not old or brave is not kind.
If fred is not patient then someone is both quiet and kin... | John is curious. | entailment | (![X]:(~rich(X)<=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)<~>~quiet(X))<=>(humble(X)&~tall(X))))&
(![X]:((~old(X)|kind(X))=>(~quiet(X)|brave(X))))&
(![X]:((~old(X)<~>brave(X))=>~kind(X)))&
((~patient(fred))<=>(?[X]:((quiet(X)&kind(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:((genero... | curious(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7844329609238699685870095
% SZS output start Proof for 7844329609238699685870095
11. ! [X0] : ((rich(X0) | ~curious(X0)) => (~patient(X0) & curious(X0))) [input p10]
24. ~curious(john) [input hypothesis]
32. ! [X0] : ((~patient(X0) & curious(X0)) | (~rich(X0) & curious(X0))) [ennf transfo... | 0 |
Everyone who is brave is either not tall or generous.
Everyone who is not humble or wise is both not wise and not happy and vice versa.
If lucy is creative then alice is both not patient and not calm.
If john is both not humble and strong then paul is either humble or kind.
If john is either not tall or not humble then... | Fred is not quiet. | contradiction | (![X]:(brave(X)=>(~tall(X)<~>generous(X))))&
(![X]:((~humble(X)|wise(X))<=>(~wise(X)&~happy(X))))&
((creative(lucy))=>((~patient(alice)&~calm(alice))))&
(((~humble(john)&strong(john)))=>((humble(paul)<~>kind(paul))))&
(((~tall(john)<~>~humble(john)))=>((kind(susan)<~>tall(susan))))&
((?[X]:((patient(X)&old(X))))<=>(?[X... | ~quiet(fred) | [
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2451031953368925320481310
% SZS output start Proof for 2451031953368925320481310
2. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p1]
7. ! [X0] : (~generous(X0) => (quiet(X0) & ~brave(X0))) [input p6]
10. ! [X0] : (humble(X0) <=> ~generous(X0)) [input p9]
11. ! [... | 0 |
Everyone who is both generous and strong is not funny or rich and vice versa. If someone is both funny and brave then alice is both rich and curious and vice versa. If lucy is both calm and not strong then someone is either calm or creative and vice versa. Everyone who is both not kind and not rich is either creative o... | Susan is brave. | neutral | (![X]:((generous(X)&strong(X))<=>(~funny(X)|rich(X))))&
((?[X]:((funny(X)&brave(X))))<=>((rich(alice)&curious(alice))))&
(((calm(lucy)&~strong(lucy)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(creative(X)<~>kind(X))))&
(![X]:((~quiet(X)&~happy(X))<=>generous(X)))&
((?[X]:(~patient(X)))=>(brave(... | brave(susan) | [] | null | 0 |
Everyone who is calm is both not humble and rich and vice versa. If someone is both not strong and not curious then susan is either not happy or not wise and vice versa. If someone is generous then someone is rich or not patient and vice versa. Everyone who is not generous or not wise is both humble and generous and vi... | Alice is humble. | contradiction | (![X]:(calm(X)<=>(~humble(X)&rich(X))))&
((?[X]:((~strong(X)&~curious(X))))<=>((~happy(susan)<~>~wise(susan))))&
((?[X]:(generous(X)))<=>(?[X]:((rich(X)|~patient(X)))))&
(![X]:((~generous(X)|~wise(X))<=>(humble(X)&generous(X))))&
(![X]:((~humble(X)<~>kind(X))=>~creative(X)))&
(![X]:((~kind(X)|rich(X))<=>kind(X)))&
(![X... | humble(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8565186204121494810788602
% SZS output start Proof for 8565186204121494810788602
4. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> (generous(X0) & humble(X0))) [input p3]
7. ! [X0] : ((~funny(X0) | humble(X0)) => (wise(X0) & old(X0))) [input p6]
23. humble(alice) [input hypothesis]
30. ! [X0] ... | 0 |
If someone is strong or kind then lucy is tall and vice versa.
If someone is either not brave or strong then someone is either not funny or old.
If someone is curious then someone is not wise or not brave.
If someone is either patient or humble then someone is curious and vice versa.
Everyone who is either not creative... | Paul is humble. | contradiction | ((?[X]:((strong(X)|kind(X))))<=>(tall(lucy)))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:((~funny(X)<~>old(X)))))&
((?[X]:(curious(X)))=>(?[X]:((~wise(X)|~brave(X)))))&
((?[X]:((patient(X)<~>humble(X))))<=>(?[X]:(curious(X))))&
(![X]:((~creative(X)<~>rich(X))<=>(~patient(X)&~curious(X))))&
((~curious(john))<=>(?[X]:(ric... | humble(paul) | [
"p8",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1205110044044202220307123
% SZS output start Proof for 1205110044044202220307123
9. ! [X0] : (creative(X0) <=> (~kind(X0) <~> kind(X0))) [input p8]
15. (~creative(john) | curious(john)) <=> ? [X0] : (curious(X0) | calm(X0)) [input p14]
16. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~curious... | 0 |
If mary is not happy or quiet then paul is either humble or not strong and vice versa.
If susan is strong or not strong then someone is either tall or generous and vice versa.
If someone is both generous and not old then susan is kind.
If someone is not generous then someone is either generous or creative.
If lucy is t... | Lucy is not happy. | entailment | (((~happy(mary)|quiet(mary)))<=>((humble(paul)<~>~strong(paul))))&
(((strong(susan)|~strong(susan)))<=>(?[X]:((tall(X)<~>generous(X)))))&
((?[X]:((generous(X)&~old(X))))=>(kind(susan)))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)<~>creative(X)))))&
((tall(lucy))<=>(?[X]:((~brave(X)&funny(X)))))&
(![X]:((~funny(X)|quie... | ~happy(lucy) | [
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4995813723814793952510776
% SZS output start Proof for 4995813723814793952510776
5. tall(lucy) <=> ? [X0] : (funny(X0) & ~brave(X0)) [input p4]
6. ! [X0] : ((quiet(X0) | ~funny(X0)) => ~happy(X0)) [input p5]
7. ! [X0] : ((humble(X0) | tall(X0)) => (~patient(X0) & ~kind(X0))) [input p6]
8.... | 0 |
Everyone who is not rich or not funny is not funny or not tall. Everyone who is wise or not kind is both not quiet and humble. If mary is both not strong and kind then john is either funny or tall. Everyone who is not happy is wise and vice versa. If susan is not tall or not quiet then mary is funny or not funny. If pa... | Fred is not kind. | contradiction | (![X]:((~rich(X)|~funny(X))=>(~funny(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~quiet(X)&humble(X))))&
(((~strong(mary)&kind(mary)))=>((funny(john)<~>tall(john))))&
(![X]:(~happy(X)<=>wise(X)))&
(((~tall(susan)|~quiet(susan)))=>((funny(mary)|~funny(mary))))&
(((rich(paul)<~>~brave(paul)))<=>((happy(john)|strong(john)... | ~kind(fred) | [
"p1",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 31608877853348991918387
% SZS output start Proof for 31608877853348991918387
2. ! [X0] : ((~kind(X0) | wise(X0)) => (humble(X0) & ~quiet(X0))) [input p1]
11. ? [X0] : (~generous(X0) | ~creative(X0)) <=> (rich(fred) & kind(fred)) [input p10]
13. ? [X0] : (calm(X0) | humble(X0)) <=> (~creat... | 0 |
Everyone who is not calm or calm is either curious or not generous.
Everyone who is both creative and strong is not kind.
Everyone who is both not wise and not strong is either not wise or patient and vice versa.
Everyone who is not kind or not rich is either quiet or not brave.
Everyone who is curious is generous or n... | Paul is not wise. | contradiction | (![X]:((~calm(X)|calm(X))=>(curious(X)<~>~generous(X))))&
(![X]:((creative(X)&strong(X))=>~kind(X)))&
(![X]:((~wise(X)&~strong(X))<=>(~wise(X)<~>patient(X))))&
(![X]:((~kind(X)|~rich(X))=>(quiet(X)<~>~brave(X))))&
(![X]:(curious(X)=>(generous(X)|~rich(X))))&
(((kind(mary)<~>curious(mary)))=>(?[X]:((funny(X)<~>~funny(X)... | ~wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8441994887800448029156256
% SZS output start Proof for 8441994887800448029156256
1. ! [X0] : ((calm(X0) | ~calm(X0)) => (curious(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((strong(X0) & creative(X0)) => ~kind(X0)) [input p1]
3. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (~wise(X0) <~> p... | 0 |
If mary is either brave or not funny then someone is both quiet and wise and vice versa. Everyone who is both creative and strong is both not happy and rich. Everyone who is not generous is either not wise or patient. Everyone who is not calm or rich is either creative or tall and vice versa. If someone is both not hap... | Mary is not creative. | contradiction | (((brave(mary)<~>~funny(mary)))<=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:((creative(X)&strong(X))=>(~happy(X)&rich(X))))&
(![X]:(~generous(X)=>(~wise(X)<~>patient(X))))&
(![X]:((~calm(X)|rich(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~happy(X)&calm(X))))<=>(~curious(paul)))&
(![X]:((~generous(X)&rich(X))<=>(creative(X)&~k... | ~creative(mary) | [
"p3",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6762642774359249118869319
% SZS output start Proof for 6762642774359249118869319
4. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (creative(X0) <~> tall(X0))) [input p3]
8. ~calm(mary) <=> ? [X0] : (~old(X0) <~> happy(X0)) [input p7]
11. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~rich(X0) <~> ~calm(X0... | 0 |
If alice is not quiet or creative then someone is either not curious or not funny.
If someone is either brave or not humble then paul is either quiet or creative.
If someone is either generous or not patient then alice is either not old or old and vice versa.
If someone is not creative or not strong then paul is either... | Alice is funny. | entailment | (((~quiet(alice)|creative(alice)))=>(?[X]:((~curious(X)<~>~funny(X)))))&
((?[X]:((brave(X)<~>~humble(X))))=>((quiet(paul)<~>creative(paul))))&
((?[X]:((generous(X)<~>~patient(X))))<=>((~old(alice)<~>old(alice))))&
((?[X]:((~creative(X)|~strong(X))))=>((~patient(paul)<~>happy(paul))))&
(![X]:(~creative(X)=>(humble(X)<~>... | funny(alice) | [
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6959011925037533861210130
% SZS output start Proof for 6959011925037533861210130
5. ! [X0] : (~creative(X0) => (humble(X0) <~> ~creative(X0))) [input p4]
9. ! [X0] : (~funny(X0) => (humble(X0) & ~wise(X0))) [input p8]
13. ! [X0] : ((~humble(X0) & strong(X0)) <=> (creative(X0) | tall(X0)))... | 0 |
If someone is not curious or not rich then someone is not creative.
Everyone who is both not tall and not generous is not rich and vice versa.
Everyone who is wise is not rich.
If susan is quiet or not curious then lucy is not old or humble.
If someone is rich or creative then someone is not rich or not calm.
If paul i... | Lucy is patient. | neutral | ((?[X]:((~curious(X)|~rich(X))))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~cre... | patient(lucy) | [] | null | 0 |
If lucy is both tall and patient then alice is either kind or calm. If susan is either not wise or not strong then someone is both curious and calm and vice versa. Everyone who is not strong is both old and calm and vice versa. Everyone who is both not strong and humble is funny and vice versa. If someone is old or not... | Alice is not rich. | neutral | (((tall(lucy)&patient(lucy)))=>((kind(alice)<~>calm(alice))))&
(((~wise(susan)<~>~strong(susan)))<=>(?[X]:((curious(X)&calm(X)))))&
(![X]:(~strong(X)<=>(old(X)&calm(X))))&
(![X]:((~strong(X)&humble(X))<=>funny(X)))&
((?[X]:((old(X)|~calm(X))))=>((~strong(mary)&patient(mary))))&
(![X]:((creative(X)|~old(X))<=>(kind(X)<~... | ~rich(alice) | [] | null | 0 |
Everyone who is either not brave or not wise is either brave or kind.
If alice is not calm or not brave then someone is not happy or tall.
If fred is both not kind and not happy then lucy is either not humble or curious and vice versa.
Everyone who is not quiet is both kind and not kind and vice versa.
Everyone who is ... | Mary is not creative. | neutral | (![X]:((~brave(X)<~>~wise(X))=>(brave(X)<~>kind(X))))&
(((~calm(alice)|~brave(alice)))=>(?[X]:((~happy(X)|tall(X)))))&
(((~kind(fred)&~happy(fred)))<=>((~humble(lucy)<~>curious(lucy))))&
(![X]:(~quiet(X)<=>(kind(X)&~kind(X))))&
(![X]:((rich(X)|generous(X))<=>(~happy(X)&~old(X))))&
(![X]:((~rich(X)|creative(X))=>(~happy... | ~creative(mary) | [] | null | 0 |
If paul is not old or rich then someone is either not creative or creative and vice versa. Everyone who is patient or not creative is not kind. Everyone who is both not wise and generous is both not happy and not patient and vice versa. If someone is both not curious and quiet then someone is both funny and calm. Every... | Lucy is not brave. | entailment | (((~old(paul)|rich(paul)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((patient(X)|~creative(X))=>~kind(X)))&
(![X]:((~wise(X)&generous(X))<=>(~happy(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~crea... | ~brave(lucy) | [
"p4",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7679701677909265102178836
% SZS output start Proof for 7679701677909265102178836
5. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> ~happy(X0)) <=> (~tall(X0) <~> ~brave(X0))) [input p6]
11. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~creative(... | 0 |
Everyone who is curious is not humble. Everyone who is not patient or not strong is old or not patient and vice versa. Everyone who is either not calm or calm is either not creative or generous. Everyone who is calm or not calm is calm or brave. Everyone who is patient is tall. Everyone who is both not calm and not str... | Mary is wise. | entailment | (![X]:(curious(X)=>~humble(X)))&
(![X]:((~patient(X)|~strong(X))<=>(old(X)|~patient(X))))&
(![X]:((~calm(X)<~>calm(X))=>(~creative(X)<~>generous(X))))&
(![X]:((calm(X)|~calm(X))=>(calm(X)|brave(X))))&
(![X]:(patient(X)=>tall(X)))&
(![X]:((~calm(X)&~strong(X))=>patient(X)))&
(![X]:((~strong(X)|~happy(X))=>~wise(X)))&
((... | wise(mary) | [
"p2",
"p3",
"p11",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7343147575731056265136680
% SZS output start Proof for 7343147575731056265136680
3. ! [X0] : ((~calm(X0) <~> calm(X0)) => (~creative(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | calm(X0)) => (brave(X0) | calm(X0))) [input p3]
12. ! [X0] : ((humble(X0) | ~tall(X0)) <=> (wise... | 0 |
Everyone who is either not calm or not humble is both not tall and not generous and vice versa. Everyone who is either generous or patient is either not brave or rich and vice versa. If someone is both not strong and not quiet then someone is brave or not humble. Everyone who is both quiet and curious is either not gen... | John is not creative. | neutral | (![X]:((~calm(X)<~>~humble(X))<=>(~tall(X)&~generous(X))))&
(![X]:((generous(X)<~>patient(X))<=>(~brave(X)<~>rich(X))))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~... | ~creative(john) | [] | null | 0 |
Everyone who is creative is either brave or strong and vice versa.
If alice is kind or not curious then john is not wise and vice versa.
Everyone who is either wise or brave is not patient or patient.
If someone is not creative or patient then lucy is both happy and not generous.
If john is either tall or not humble th... | John is generous. | entailment | (![X]:(creative(X)<=>(brave(X)<~>strong(X))))&
(((kind(alice)|~curious(alice)))<=>(~wise(john)))&
(![X]:((wise(X)<~>brave(X))=>(~patient(X)|patient(X))))&
((?[X]:((~creative(X)|patient(X))))=>((happy(lucy)&~generous(lucy))))&
(((tall(john)<~>~humble(john)))<=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((~funny(X)&rich(X))=>... | generous(john) | [
"p7",
"p8",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1462634370103815822247776
% SZS output start Proof for 1462634370103815822247776
8. ? [X0] : (~generous(X0) & ~rich(X0)) <=> ? [X0] : (~patient(X0) & strong(X0)) [input p7]
9. ! [X0] : ((generous(X0) & wise(X0)) <=> (~brave(X0) | ~patient(X0))) [input p8]
14. ! [X0] : ((brave(X0) <~> rich... | 0 |
Everyone who is either strong or rich is not curious and vice versa.
Everyone who is both not funny and creative is wise or not kind and vice versa.
If someone is brave then someone is humble or happy and vice versa.
Everyone who is calm or strong is not old.
If paul is both funny and happy then someone is either not k... | Alice is rich. | entailment | (![X]:((strong(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~funny(X)&creative(X))<=>(wise(X)|~kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:((calm(X)|strong(X))=>~old(X)))&
(((funny(paul)&happy(paul)))=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(~rich(X)<=>(creative(X)<~>rich(X))))&
(![X]:((calm(X)&~h... | rich(alice) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7535534319173943042953239
% SZS output start Proof for 7535534319173943042953239
1. ! [X0] : ((strong(X0) <~> rich(X0)) <=> ~curious(X0)) [input p0]
3. ? [X0] : brave(X0) <=> ? [X0] : (happy(X0) | humble(X0)) [input p2]
6. ! [X0] : (~rich(X0) <=> (creative(X0) <~> rich(X0))) [input p5]
8.... | 0 |
Everyone who is brave is not rich or not generous.
Everyone who is either not rich or not funny is both creative and not happy and vice versa.
If someone is either humble or curious then someone is humble.
If susan is both not curious and brave then alice is either strong or humble and vice versa.
Everyone who is eithe... | Fred is not wise. | contradiction | (![X]:(brave(X)=>(~rich(X)|~generous(X))))&
(![X]:((~rich(X)<~>~funny(X))<=>(creative(X)&~happy(X))))&
((?[X]:((humble(X)<~>curious(X))))=>(?[X]:(humble(X))))&
(((~curious(susan)&brave(susan)))<=>((strong(alice)<~>humble(alice))))&
(![X]:((humble(X)<~>patient(X))=>funny(X)))&
((?[X]:((strong(X)&~strong(X))))=>(?[X]:((~... | ~wise(fred) | [
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4756262635575995979365416
% SZS output start Proof for 4756262635575995979365416
7. ! [X0] : ((~old(X0) & creative(X0)) <=> (calm(X0) | generous(X0))) [input p6]
8. ! [X0] : (creative(X0) <=> (generous(X0) & ~calm(X0))) [input p7]
14. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (wise(X0) & ~... | 0 |
If someone is not strong or kind then fred is not old.
If fred is not old or generous then susan is both quiet and calm and vice versa.
Everyone who is not wise is both not happy and not tall.
Everyone who is curious or funny is not quiet or not strong and vice versa.
Everyone who is either happy or calm is happy.
If f... | Susan is not quiet. | entailment | ((?[X]:((~strong(X)|kind(X))))=>(~old(fred)))&
(((~old(fred)|generous(fred)))<=>((quiet(susan)&calm(susan))))&
(![X]:(~wise(X)=>(~happy(X)&~tall(X))))&
(![X]:((curious(X)|funny(X))<=>(~quiet(X)|~strong(X))))&
(![X]:((happy(X)<~>calm(X))=>happy(X)))&
(((rich(fred)&quiet(fred)))=>(?[X]:((kind(X)<~>generous(X)))))&
(![X]:... | ~quiet(susan) | [
"p0",
"p1",
"p3",
"p4",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1961724311815485746641907
% SZS output start Proof for 1961724311815485746641907
1. ? [X0] : (kind(X0) | ~strong(X0)) => ~old(fred) [input p0]
2. (generous(fred) | ~old(fred)) <=> (calm(susan) & quiet(susan)) [input p1]
4. ! [X0] : ((funny(X0) | curious(X0)) <=> (~strong(X0) | ~quiet(X0))... | 0 |
Everyone who is rich is creative and vice versa.
If someone is happy then john is curious.
Everyone who is not tall is either creative or tall and vice versa.
Everyone who is humble or wise is not calm.
Everyone who is not strong is either old or not creative and vice versa.
If someone is curious then alice is rich or ... | Alice is strong. | contradiction | (![X]:(rich(X)<=>creative(X)))&
((?[X]:(happy(X)))=>(curious(john)))&
(![X]:(~tall(X)<=>(creative(X)<~>tall(X))))&
(![X]:((humble(X)|wise(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(old(X)<~>~creative(X))))&
((?[X]:(curious(X)))=>((rich(alice)|~calm(alice))))&
(![X]:((~creative(X)&~tall(X))<=>(~creative(X)<~>~humble(X))))&
(... | strong(alice) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1798004566479764608488243
% SZS output start Proof for 1798004566479764608488243
3. ! [X0] : (~tall(X0) <=> (creative(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((wise(X0) | humble(X0)) => ~calm(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> (old(X0) <~> ~creative(X0))) [input p4]
7. ! [X0] ... | 0 |
Everyone who is either not calm or creative is old or not humble and vice versa. If alice is not wise or tall then someone is old or not strong and vice versa. Everyone who is rich or patient is not old or curious and vice versa. If someone is either tall or wise then someone is either not old or generous and vice vers... | Lucy is not calm. | entailment | (![X]:((~calm(X)<~>creative(X))<=>(old(X)|~humble(X))))&
(((~wise(alice)|tall(alice)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((rich(X)|patient(X))<=>(~old(X)|curious(X))))&
((?[X]:((tall(X)<~>wise(X))))<=>(?[X]:((~old(X)<~>generous(X)))))&
(![X]:((brave(X)&humble(X))<=>(calm(X)|~curious(X))))&
(((strong(john)|quiet(jo... | ~calm(lucy) | [
"p0",
"p9",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6534796723262838682520110
% SZS output start Proof for 6534796723262838682520110
1. ! [X0] : ((~calm(X0) <~> creative(X0)) <=> (~humble(X0) | old(X0))) [input p0]
10. ! [X0] : ((patient(X0) & creative(X0)) <=> ~old(X0)) [input p9]
19. ~creative(lucy) | ~rich(lucy) [input p18]
23. strong(l... | 0 |
Everyone who is both creative and not kind is not wise or calm and vice versa. Everyone who is both not wise and not happy is either wise or not rich. Everyone who is both not creative and not curious is humble or not creative and vice versa. If someone is both curious and happy then paul is either creative or not tall... | Lucy is not strong. | contradiction | (![X]:((creative(X)&~kind(X))<=>(~wise(X)|calm(X))))&
(![X]:((~wise(X)&~happy(X))=>(wise(X)<~>~rich(X))))&
(![X]:((~creative(X)&~curious(X))<=>(humble(X)|~creative(X))))&
((?[X]:((curious(X)&happy(X))))=>((creative(paul)<~>~tall(paul))))&
(![X]:((~old(X)<~>patient(X))=>funny(X)))&
(((~funny(mary)<~>~happy(mary)))<=>(?[... | ~strong(lucy) | [
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3154651058066707356665751
% SZS output start Proof for 3154651058066707356665751
3. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (~creative(X0) | humble(X0))) [input p2]
13. ! [X0] : ((humble(X0) <~> strong(X0)) => (funny(X0) & creative(X0))) [input p12]
14. ! [X0] : ((~funny(X0) | ~humbl... | 0 |
Everyone who is either not funny or old is both not tall and tall and vice versa.
If someone is quiet then someone is either calm or brave and vice versa.
Everyone who is both not tall and calm is not strong.
Everyone who is both brave and generous is either generous or wise.
Everyone who is either not kind or not brav... | Lucy is creative. | neutral | (![X]:((~funny(X)<~>old(X))<=>(~tall(X)&tall(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((~tall(X)&calm(X))=>~strong(X)))&
(![X]:((brave(X)&generous(X))=>(generous(X)<~>wise(X))))&
(![X]:((~kind(X)<~>~brave(X))<=>quiet(X)))&
(![X]:((tall(X)<~>~creative(X))=>(funny(X)&patient(X))))&
(![X]:((~humbl... | creative(lucy) | [] | null | 0 |
If john is either tall or strong then someone is both rich and not wise and vice versa.
Everyone who is patient or not funny is both not curious and not tall.
Everyone who is generous is both not brave and not wise.
If someone is tall or not old then susan is both not curious and calm.
If someone is not brave then paul... | Mary is not curious. | neutral | (((tall(john)<~>strong(john)))<=>(?[X]:((rich(X)&~wise(X)))))&
(![X]:((patient(X)|~funny(X))=>(~curious(X)&~tall(X))))&
(![X]:(generous(X)=>(~brave(X)&~wise(X))))&
((?[X]:((tall(X)|~old(X))))=>((~curious(susan)&calm(susan))))&
((?[X]:(~brave(X)))<=>((~wise(paul)&~patient(paul))))&
(![X]:((wise(X)<~>funny(X))=>(wise(X)&... | ~curious(mary) | [] | null | 0 |
Everyone who is not quiet is rich or not strong and vice versa.
Everyone who is both strong and not brave is both kind and creative and vice versa.
Everyone who is happy or funny is not brave or creative.
If john is either brave or rich then someone is both kind and not wise.
Everyone who is not wise is both not curiou... | John is curious. | entailment | (![X]:(~quiet(X)<=>(rich(X)|~strong(X))))&
(![X]:((strong(X)&~brave(X))<=>(kind(X)&creative(X))))&
(![X]:((happy(X)|funny(X))=>(~brave(X)|creative(X))))&
(((brave(john)<~>rich(john)))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(~curious(X)&~old(X))))&
(![X]:(~old(X)=>(~old(X)<~>strong(X))))&
(![X]:((~creative(X)|... | curious(john) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 918686118125169254673755
% SZS output start Proof for 918686118125169254673755
8. ! [X0] : (~curious(X0) => (~quiet(X0) & generous(X0))) [input p7]
9. ! [X0] : (~quiet(X0) => curious(X0)) [input p8]
25. ~curious(john) [input hypothesis]
33. ! [X0] : ((~quiet(X0) & generous(X0)) | curious(... | 0 |
Everyone who is not curious is both brave and old and vice versa.
Everyone who is both old and not generous is both not creative and curious.
Everyone who is humble or strong is both not creative and not funny.
Everyone who is wise or not generous is both not rich and not patient.
If john is brave or not funny then som... | John is not generous. | contradiction | (![X]:(~curious(X)<=>(brave(X)&old(X))))&
(![X]:((old(X)&~generous(X))=>(~creative(X)&curious(X))))&
(![X]:((humble(X)|strong(X))=>(~creative(X)&~funny(X))))&
(![X]:((wise(X)|~generous(X))=>(~rich(X)&~patient(X))))&
(((brave(john)|~funny(john)))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((wise(X)<~>~wise(X))<=>(~rich(X)... | ~generous(john) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8505544449028547910376323
% SZS output start Proof for 8505544449028547910376323
4. ! [X0] : ((~generous(X0) | wise(X0)) => (~patient(X0) & ~rich(X0))) [input p3]
23. patient(john) | generous(john) [input p22]
24. ~generous(john) [input hypothesis]
33. ! [X0] : ((~patient(X0) & ~rich(X0))... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | Fred is not curious. | entailment | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | ~curious(fred) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7988724361288754607365412
% SZS output start Proof for 7988724361288754607365412
2. ? [X0] : ~creative(X0) <=> ? [X0] : ~rich(X0) [input p1]
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
4. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> (~patient(fred) & humble(fred)) [input p3]
7. ! [X0] : ((... | 0 |
Everyone who is tall or not happy is generous or kind.
Everyone who is creative or not funny is both generous and not generous and vice versa.
Everyone who is both patient and not funny is either not humble or creative.
Everyone who is either not calm or not brave is rich or not strong and vice versa.
Everyone who is c... | Fred is kind. | neutral | (![X]:((tall(X)|~happy(X))=>(generous(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(generous(X)&~generous(X))))&
(![X]:((patient(X)&~funny(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(rich(X)|~strong(X))))&
(![X]:((creative(X)|~curious(X))=>quiet(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)|wi... | kind(fred) | [] | null | 0 |
Everyone who is calm is either strong or not humble and vice versa.
If paul is not funny or curious then someone is either old or not rich and vice versa.
If someone is generous then someone is not funny or quiet and vice versa.
Everyone who is kind is either not creative or strong.
Everyone who is not brave is kind an... | Lucy is brave. | entailment | (![X]:(calm(X)<=>(strong(X)<~>~humble(X))))&
(((~funny(paul)|curious(paul)))<=>(?[X]:((old(X)<~>~rich(X)))))&
((?[X]:(generous(X)))<=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:(kind(X)=>(~creative(X)<~>strong(X))))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:((~curious(X)<~>funny(X))<=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)&qui... | brave(lucy) | [
"p0",
"p4",
"p10",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 309845743464197255930707
% SZS output start Proof for 309845743464197255930707
1. ! [X0] : (calm(X0) <=> (strong(X0) <~> ~humble(X0))) [input p0]
5. ! [X0] : (~brave(X0) <=> kind(X0)) [input p4]
11. ? [X0] : (~funny(X0) | ~strong(X0)) => (rich(lucy) <~> strong(lucy)) [input p10]
13. ! [X0... | 0 |
If mary is both not patient and not calm then susan is either not tall or not curious and vice versa. Everyone who is not old or wise is quiet or not calm and vice versa. Everyone who is both not tall and quiet is both not funny and not rich and vice versa. Everyone who is not rich is rich. Everyone who is not calm or ... | Mary is not old. | neutral | (((~patient(mary)&~calm(mary)))<=>((~tall(susan)<~>~curious(susan))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
(![X]:((~tall(X)&quiet(X))<=>(~funny(X)&~rich(X))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~calm(X)|happy(X))<=>(humble(X)&~rich(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
... | ~old(mary) | [] | null | 0 |
If someone is both wise and not wise then someone is humble or not rich.
Everyone who is both tall and strong is either creative or not old.
Everyone who is not humble or not strong is creative or calm and vice versa.
Everyone who is either not brave or not funny is either old or not kind.
Everyone who is either wise o... | Lucy is old. | contradiction | ((?[X]:((wise(X)&~wise(X))))=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((tall(X)&strong(X))=>(creative(X)<~>~old(X))))&
(![X]:((~humble(X)|~strong(X))<=>(creative(X)|calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(old(X)<~>~kind(X))))&
(![X]:((wise(X)<~>~generous(X))=>(~generous(X)|curious(X))))&
(((~rich(paul)<~>funny(paul)... | old(lucy) | [
"p1",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2765134225074258956493765
% SZS output start Proof for 2765134225074258956493765
2. ! [X0] : ((strong(X0) & tall(X0)) => (creative(X0) <~> ~old(X0))) [input p1]
12. ! [X0] : (~tall(X0) <=> (~old(X0) & kind(X0))) [input p11]
16. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (~rich(X0) & ~crea... | 0 |
If lucy is patient then someone is either not quiet or humble and vice versa. Everyone who is not creative is both not curious and quiet. Everyone who is both generous and not wise is not tall or generous. Everyone who is humble is either patient or quiet. Everyone who is not rich is either not rich or happy and vice v... | Mary is calm. | contradiction | ((patient(lucy))<=>(?[X]:((~quiet(X)<~>humble(X)))))&
(![X]:(~creative(X)=>(~curious(X)&quiet(X))))&
(![X]:((generous(X)&~wise(X))=>(~tall(X)|generous(X))))&
(![X]:(humble(X)=>(patient(X)<~>quiet(X))))&
(![X]:(~rich(X)<=>(~rich(X)<~>happy(X))))&
(![X]:((~happy(X)&~rich(X))=>tall(X)))&
(![X]:(~humble(X)<=>(~happy(X)&kin... | calm(mary) | [
"p4",
"p6",
"p10",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8241367479852093404263863
% SZS output start Proof for 8241367479852093404263863
5. ! [X0] : (~rich(X0) <=> (~rich(X0) <~> happy(X0))) [input p4]
7. ! [X0] : (~humble(X0) <=> (kind(X0) & ~happy(X0))) [input p6]
11. ! [X0] : ((tall(X0) & ~humble(X0)) => (~kind(X0) | happy(X0))) [input p10]... | 0 |
If lucy is both not kind and not strong then john is generous or not calm and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy ... | Paul is strong. | entailment | (((~kind(lucy)&~strong(lucy)))<=>((generous(john)|~calm(john))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((curio... | strong(paul) | [
"p1",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6361362192999855467558134
% SZS output start Proof for 6361362192999855467558134
2. ! [X0] : ((~humble(X0) <~> strong(X0)) => happy(X0)) [input p1]
5. ! [X0] : ((old(X0) & happy(X0)) => (quiet(X0) | ~happy(X0))) [input p4]
8. ? [X0] : (humble(X0) <~> old(X0)) => (patient(paul) <~> happy(p... | 0 |
If fred is not kind then fred is not strong and vice versa.
Everyone who is either not humble or not rich is both quiet and not generous.
If fred is not curious then alice is wise or not rich and vice versa.
Everyone who is both not humble and not rich is not strong and vice versa.
If lucy is either quiet or not humble... | Fred is not happy. | neutral | ((~kind(fred))<=>(~strong(fred)))&
(![X]:((~humble(X)<~>~rich(X))=>(quiet(X)&~generous(X))))&
((~curious(fred))<=>((wise(alice)|~rich(alice))))&
(![X]:((~humble(X)&~rich(X))<=>~strong(X)))&
(((quiet(lucy)<~>~humble(lucy)))<=>((old(mary)<~>generous(mary))))&
((?[X]:((~calm(X)<~>kind(X))))=>((tall(john)|~rich(john))))&
(... | ~happy(fred) | [] | null | 0 |
If mary is both not funny and not rich then paul is both not brave and creative and vice versa. If susan is either wise or curious then john is not curious or old. Everyone who is either not brave or strong is happy or not wise and vice versa. Everyone who is either happy or not curious is both not rich and kind. Every... | Fred is tall. | contradiction | (((~funny(mary)&~rich(mary)))<=>((~brave(paul)&creative(paul))))&
(((wise(susan)<~>curious(susan)))=>((~curious(john)|old(john))))&
(![X]:((~brave(X)<~>strong(X))<=>(happy(X)|~wise(X))))&
(![X]:((happy(X)<~>~curious(X))=>(~rich(X)&kind(X))))&
(![X]:((~patient(X)&creative(X))<=>(~old(X)&creative(X))))&
((?[X]:((humble(X... | tall(fred) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 906517342222652422315662
% SZS output start Proof for 906517342222652422315662
6. ? [X0] : (quiet(X0) & humble(X0)) <=> ? [X0] : (tall(X0) | ~funny(X0)) [input p5]
8. ! [X0] : ((creative(X0) | quiet(X0)) => (~humble(X0) & tall(X0))) [input p7]
24. tall(fred) [input hypothesis]
25. ? [X0] ... | 0 |
If paul is either not generous or humble then someone is not rich or not curious.
Everyone who is both not creative and not patient is strong or not calm.
If someone is either not calm or creative then susan is either not happy or generous and vice versa.
If mary is not brave or calm then fred is kind or not wise and v... | Lucy is not quiet. | contradiction | (((~generous(paul)<~>humble(paul)))=>(?[X]:((~rich(X)|~curious(X)))))&
(![X]:((~creative(X)&~patient(X))=>(strong(X)|~calm(X))))&
((?[X]:((~calm(X)<~>creative(X))))<=>((~happy(susan)<~>generous(susan))))&
(((~brave(mary)|calm(mary)))<=>((kind(fred)|~wise(fred))))&
(((~generous(susan)|generous(susan)))<=>(?[X]:((humble(... | ~quiet(lucy) | [
"p5",
"p10",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 626635175651840238987943
% SZS output start Proof for 626635175651840238987943
6. ! [X0] : (old(X0) => (~curious(X0) & ~tall(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | strong(X0)) <=> (~strong(X0) | rich(X0))) [input p10]
12. ! [X0] : (~patient(X0) <=> ~quiet(X0)) [input p11]
13. ! [X0]... | 0 |
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