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 kind or strong then someone is generous and vice versa.
If paul is either patient or not creative then someone is both not rich and funny and vice versa.
If someone is patient then someone is either not funny or funny.
If someone is generous then mary is brave or not rich and vice versa.
If someone... | Lucy is not old. | contradiction | ((?[X]:((kind(X)<~>strong(X))))<=>(?[X]:(generous(X))))&
(((patient(paul)<~>~creative(paul)))<=>(?[X]:((~rich(X)&funny(X)))))&
((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>funny(X)))))&
((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient... | ~old(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8313757391715813978336360
% SZS output start Proof for 8313757391715813978336360
21. old(lucy) & rich(lucy) [input p20]
25. ~old(lucy) [input hypothesis]
143. old(lucy) [cnf transformation 21]
147. ~old(lucy) [cnf transformation 25]
248. 23 <=> old(lucy) [avatar definition]
277. 23 [avata... | 0 |
Everyone who is happy is not tall.
If someone is tall then susan is both not quiet and curious.
If someone is kind then susan is generous and vice versa.
Everyone who is generous is not funny or not rich and vice versa.
Everyone who is both not kind and not calm is both not old and not rich and vice versa.
Everyone who... | Susan is wise. | entailment | (![X]:(happy(X)=>~tall(X)))&
((?[X]:(tall(X)))=>((~quiet(susan)&curious(susan))))&
((?[X]:(kind(X)))<=>(generous(susan)))&
(![X]:(generous(X)<=>(~funny(X)|~rich(X))))&
(![X]:((~kind(X)&~calm(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(happy(X)|brave(X))))&
(![X]:(kind(X)=>~old(X)))&
(((quiet(fred)&~stro... | wise(susan) | [
"p1",
"p3",
"p8",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 86102206698402183025745
% SZS output start Proof for 86102206698402183025745
2. ? [X0] : tall(X0) => (curious(susan) & ~quiet(susan)) [input p1]
4. ! [X0] : (generous(X0) <=> (~rich(X0) | ~funny(X0))) [input p3]
9. ! [X0] : (~humble(X0) <=> (~funny(X0) & ~calm(X0))) [input p8]
10. ! [X0] ... | 0 |
If paul is either not creative or generous then susan is creative and vice versa.
Everyone who is both not curious and not patient is both funny and not old and vice versa.
Everyone who is either not kind or not happy is both not quiet and not brave and vice versa.
If someone is either calm or generous then mary is old... | Paul is not old. | contradiction | (((~creative(paul)<~>generous(paul)))<=>(creative(susan)))&
(![X]:((~curious(X)&~patient(X))<=>(funny(X)&~old(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)&~brave(X))))&
((?[X]:((calm(X)<~>generous(X))))=>(old(mary)))&
(((wise(lucy)&~funny(lucy)))=>(funny(fred)))&
(((wise(lucy)&happy(lucy)))<=>((~strong(susan)&~wis... | ~old(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9058596685445418472190689
% SZS output start Proof for 9058596685445418472190689
20. old(paul) [input p19]
24. ~old(paul) [input hypothesis]
129. old(paul) [cnf transformation 20]
134. ~old(paul) [cnf transformation 24]
247. 26 <=> old(paul) [avatar definition]
280. 26 [avatar split claus... | 0 |
If paul is humble or not calm then susan is either not old or curious.
Everyone who is not humble is either calm or not rich and vice versa.
Everyone who is humble or wise is either not brave or rich and vice versa.
If lucy is both old and patient then someone is either quiet or rich and vice versa.
If john is both cur... | Lucy is calm. | contradiction | (((humble(paul)|~calm(paul)))=>((~old(susan)<~>curious(susan))))&
(![X]:(~humble(X)<=>(calm(X)<~>~rich(X))))&
(![X]:((humble(X)|wise(X))<=>(~brave(X)<~>rich(X))))&
(((old(lucy)&patient(lucy)))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(((curious(john)&~wise(john)))<=>((creative(paul)<~>~tall(paul))))&
(![X]:((~rich(X)|~generou... | calm(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7579800663174829560631145
% SZS output start Proof for 7579800663174829560631145
2. ! [X0] : (~humble(X0) <=> (calm(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : ((wise(X0) | humble(X0)) <=> (~brave(X0) <~> rich(X0))) [input p2]
4. (patient(lucy) & old(lucy)) <=> ? [X0] : (quiet(X0) <~> rich... | 0 |
If paul is brave or creative then lucy is either not tall or not brave.
If paul is wise or kind then someone is both curious and happy and vice versa.
If paul is either not strong or not old then fred is not patient and vice versa.
If john is patient then susan is either not rich or not creative and vice versa.
Everyon... | Lucy is brave. | entailment | (((brave(paul)|creative(paul)))=>((~tall(lucy)<~>~brave(lucy))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((curious(X)&happy(X)))))&
(((~strong(paul)<~>~old(paul)))<=>(~patient(fred)))&
((patient(john))<=>((~rich(susan)<~>~creative(susan))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(... | brave(lucy) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4126677115851337825739472
% SZS output start Proof for 4126677115851337825739472
6. ! [X0] : (generous(X0) <=> (creative(X0) | strong(X0))) [input p5]
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
13. ? [X0] : (~brave(X0) & ~strong(X0)) <=> (~curious(mary) & creative(ma... | 0 |
If someone is curious or not tall then susan is both not curious and not humble and vice versa.
If susan is both kind and generous then someone is either not rich or funny.
If someone is calm or happy then someone is kind or funny.
If fred is either not patient or not quiet then mary is both tall and brave.
Everyone wh... | Susan is kind. | neutral | ((?[X]:((curious(X)|~tall(X))))<=>((~curious(susan)&~humble(susan))))&
(((kind(susan)&generous(susan)))=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:((calm(X)|happy(X))))=>(?[X]:((kind(X)|funny(X)))))&
(((~patient(fred)<~>~quiet(fred)))=>((tall(mary)&brave(mary))))&
(![X]:((~wise(X)&old(X))=>old(X)))&
(![X]:((~rich(X)|happ... | kind(susan) | [] | null | 0 |
Everyone who is either not curious or curious is either not quiet or kind. Everyone who is strong is either happy or not humble. Everyone who is both not generous and not curious is tall and vice versa. If someone is not old then john is both humble and not kind and vice versa. If alice is not old or brave then lucy is... | John is rich. | neutral | (![X]:((~curious(X)<~>curious(X))=>(~quiet(X)<~>kind(X))))&
(![X]:(strong(X)=>(happy(X)<~>~humble(X))))&
(![X]:((~generous(X)&~curious(X))<=>tall(X)))&
((?[X]:(~old(X)))<=>((humble(john)&~kind(john))))&
(((~old(alice)|brave(alice)))=>((calm(lucy)<~>wise(lucy))))&
(![X]:((patient(X)<~>~humble(X))<=>~patient(X)))&
(![X]:... | rich(john) | [] | null | 0 |
Everyone who is funny is either not generous or happy and vice versa.
If someone is not quiet or curious then someone is either brave or not old.
Everyone who is either humble or happy is humble.
If someone is both tall and brave then someone is generous and vice versa.
Everyone who is both funny and curious is both no... | Mary is happy. | neutral | (![X]:(funny(X)<=>(~generous(X)<~>happy(X))))&
((?[X]:((~quiet(X)|curious(X))))=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:((humble(X)<~>happy(X))=>humble(X)))&
((?[X]:((tall(X)&brave(X))))<=>(?[X]:(generous(X))))&
(![X]:((funny(X)&curious(X))<=>(~tall(X)&~calm(X))))&
((?[X]:((kind(X)&~kind(X))))=>(?[X]:((wise(X)&~patient(... | happy(mary) | [] | null | 0 |
Everyone who is either calm or not kind is both not rich and funny.
Everyone who is both brave and kind is not brave and vice versa.
If someone is either not quiet or not humble then someone is either rich or not curious.
Everyone who is either creative or rich is either quiet or tall and vice versa.
Everyone who is bo... | Mary is creative. | entailment | (![X]:((calm(X)<~>~kind(X))=>(~rich(X)&funny(X))))&
(![X]:((brave(X)&kind(X))<=>~brave(X)))&
((?[X]:((~quiet(X)<~>~humble(X))))=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((creative(X)<~>rich(X))<=>(quiet(X)<~>tall(X))))&
(![X]:((~tall(X)&generous(X))<=>~old(X)))&
((?[X]:((kind(X)&calm(X))))<=>(~wise(mary)))&
((?[X]:((~... | creative(mary) | [
"p1",
"p3",
"p4",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4700054521750624521975
% SZS output start Proof for 4700054521750624521975
2. ! [X0] : ((kind(X0) & brave(X0)) <=> ~brave(X0)) [input p1]
4. ! [X0] : ((creative(X0) <~> rich(X0)) <=> (quiet(X0) <~> tall(X0))) [input p3]
5. ! [X0] : ((generous(X0) & ~tall(X0)) <=> ~old(X0)) [input p4]
7. ?... | 0 |
Everyone who is calm or not tall is not wise. Everyone who is either quiet or not brave is both not rich and not curious and vice versa. If paul is generous then someone is both not tall and rich and vice versa. Everyone who is patient is both not humble and happy and vice versa. If someone is funny then paul is both n... | Paul is creative. | entailment | (![X]:((calm(X)|~tall(X))=>~wise(X)))&
(![X]:((quiet(X)<~>~brave(X))<=>(~rich(X)&~curious(X))))&
((generous(paul))<=>(?[X]:((~tall(X)&rich(X)))))&
(![X]:(patient(X)<=>(~humble(X)&happy(X))))&
((?[X]:(funny(X)))<=>((~happy(paul)&~humble(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(((~kind(john)<~... | creative(paul) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4971884885511307649794806
% SZS output start Proof for 4971884885511307649794806
1. ! [X0] : ((~tall(X0) | calm(X0)) => ~wise(X0)) [input p0]
5. ? [X0] : funny(X0) <=> (~humble(paul) & ~happy(paul)) [input p4]
8. ! [X0] : (generous(X0) <=> (calm(X0) <~> wise(X0))) [input p7]
9. ! [X0] : (... | 0 |
Everyone who is not curious or tall is either not creative or not curious.
If someone is not creative then someone is not generous or strong.
If someone is both not brave and not quiet then alice is not patient.
Everyone who is both not patient and tall is both funny and patient and vice versa.
If fred is both brave an... | Alice is rich. | neutral | (![X]:((~curious(X)|tall(X))=>(~creative(X)<~>~curious(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~generous(X)|strong(X)))))&
((?[X]:((~brave(X)&~quiet(X))))=>(~patient(alice)))&
(![X]:((~patient(X)&tall(X))<=>(funny(X)&patient(X))))&
(((brave(fred)&~calm(fred)))<=>(wise(susan)))&
(![X]:((~creative(X)|~strong(X))=>(generou... | rich(alice) | [] | null | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is rich or kind is not generous or funny and vice versa. If someone is either not creative or funny then mary is both not quiet and not curious. If susan is kind or not old then lucy is wise or not curious. Everyone who is not calm ... | Mary is humble. | contradiction | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~creative(X)<~>funny(X))))=>((~quiet(mary)&~curious(mary))))&
(((kind(susan)|~old(susan)))=>((wise(lucy)|~curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(funny(X)&rich(X))))&
(![X]:((happy(X)|~happy(X)... | humble(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2439098466520303618295505
% SZS output start Proof for 2439098466520303618295505
1. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~happy(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((kind(X0) | rich(X0)) <=> (funny(X0) | ~generous(X0))) [input p1]
3. ? [X0] : (~creative(X0) <~> funny(X0)) => (~c... | 0 |
Everyone who is either not calm or brave is either not patient or rich and vice versa.
Everyone who is not funny is wise and vice versa.
Everyone who is not curious is both not kind and not wise.
If someone is calm then john is tall.
Everyone who is either wise or not quiet is either not humble or not strong and vice v... | John is not happy. | neutral | (![X]:((~calm(X)<~>brave(X))<=>(~patient(X)<~>rich(X))))&
(![X]:(~funny(X)<=>wise(X)))&
(![X]:(~curious(X)=>(~kind(X)&~wise(X))))&
((?[X]:(calm(X)))=>(tall(john)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~humble(X)<~>~strong(X))))&
((?[X]:((~calm(X)|curious(X))))<=>(curious(alice)))&
(![X]:((~calm(X)&~tall(X))<=>(curious(X)&o... | ~happy(john) | [] | null | 0 |
Everyone who is patient is humble.
Everyone who is generous is not calm and vice versa.
Everyone who is not curious or not quiet is both wise and happy.
If someone is either calm or old then someone is quiet or not humble.
If susan is either not old or not quiet then lucy is patient or generous and vice versa.
If someo... | Paul is calm. | entailment | (![X]:(patient(X)=>humble(X)))&
(![X]:(generous(X)<=>~calm(X)))&
(![X]:((~curious(X)|~quiet(X))=>(wise(X)&happy(X))))&
((?[X]:((calm(X)<~>old(X))))=>(?[X]:((quiet(X)|~humble(X)))))&
(((~old(susan)<~>~quiet(susan)))<=>((patient(lucy)|generous(lucy))))&
((?[X]:(~strong(X)))=>((~humble(paul)&~happy(paul))))&
((?[X]:((happ... | calm(paul) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3321624294814950726624311
% SZS output start Proof for 3321624294814950726624311
2. ! [X0] : (generous(X0) <=> ~calm(X0)) [input p1]
20. ~brave(paul) & ~generous(paul) [input p19]
25. ~calm(paul) [input hypothesis]
43. ! [X0] : ((generous(X0) | calm(X0)) & (~calm(X0) | ~generous(X0))) [nn... | 0 |
Everyone who is both not happy and tall is either not kind or not curious and vice versa. If susan is quiet or rich then paul is either humble or not strong. If someone is patient or generous then alice is both generous and tall. If someone is either not curious or funny then someone is either not humble or not rich an... | Susan is patient. | entailment | (![X]:((~happy(X)&tall(X))<=>(~kind(X)<~>~curious(X))))&
(((quiet(susan)|rich(susan)))=>((humble(paul)<~>~strong(paul))))&
((?[X]:((patient(X)|generous(X))))=>((generous(alice)&tall(alice))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((~humble(X)<~>~rich(X)))))&
(![X]:(patient(X)<=>(creative(X)&~humble(X))))&
((?[X]:... | patient(susan) | [
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5569164978722456114491654
% SZS output start Proof for 5569164978722456114491654
7. ! [X0] : ((~wise(X0) | funny(X0)) <=> wise(X0)) [input p6]
13. ! [X0] : ((patient(X0) & old(X0)) <=> (~patient(X0) <~> rich(X0))) [input p12]
16. ! [X0] : ((wise(X0) <~> funny(X0)) <=> rich(X0)) [input p15... | 0 |
If john is both wise and not old then someone is happy or not funny.
Everyone who is either not wise or generous is generous or not rich.
If someone is not tall or calm then susan is either not generous or funny and vice versa.
Everyone who is not tall or old is not humble and vice versa.
Everyone who is generous is no... | John is not creative. | entailment | (((wise(john)&~old(john)))=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:((~wise(X)<~>generous(X))=>(generous(X)|~rich(X))))&
((?[X]:((~tall(X)|calm(X))))<=>((~generous(susan)<~>funny(susan))))&
(![X]:((~tall(X)|old(X))<=>~humble(X)))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(![X]:(kind(X)=>(~kind(X)|patient(X))))&
(... | ~creative(john) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6680498043369762246309959
% SZS output start Proof for 6680498043369762246309959
5. ! [X0] : (generous(X0) <=> (strong(X0) | ~creative(X0))) [input p4]
17. ~strong(john) & generous(john) [input p16]
25. creative(john) [input hypothesis]
48. ! [X0] : ((generous(X0) | (~strong(X0) & creativ... | 0 |
Everyone who is both not calm and happy is either not calm or not wise.
If paul is not generous or rich then fred is both kind and wise.
Everyone who is brave is either rich or not humble and vice versa.
If alice is either patient or not funny then someone is both not brave and patient and vice versa.
Everyone who is n... | Susan is not wise. | entailment | (![X]:((~calm(X)&happy(X))=>(~calm(X)<~>~wise(X))))&
(((~generous(paul)|rich(paul)))=>((kind(fred)&wise(fred))))&
(![X]:(brave(X)<=>(rich(X)<~>~humble(X))))&
(((patient(alice)<~>~funny(alice)))<=>(?[X]:((~brave(X)&patient(X)))))&
(![X]:(~curious(X)<=>(~creative(X)|~generous(X))))&
(![X]:((tall(X)|funny(X))<=>(brave(X)&... | ~wise(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7592778309292529542144409
% SZS output start Proof for 7592778309292529542144409
21. ~happy(susan) & ~wise(susan) [input p20]
25. wise(susan) [input hypothesis]
139. ~wise(susan) [cnf transformation 21]
146. wise(susan) [cnf transformation 25]
248. 22 <=> wise(susan) [avatar definition]
3... | 0 |
If someone is both not patient and not brave then paul is both not patient and creative.
Everyone who is tall is either happy or not calm and vice versa.
Everyone who is tall or not funny is either kind or not funny and vice versa.
Everyone who is not generous is not tall and vice versa.
Everyone who is either tall or ... | Paul is old. | contradiction | ((?[X]:((~patient(X)&~brave(X))))=>((~patient(paul)&creative(paul))))&
(![X]:(tall(X)<=>(happy(X)<~>~calm(X))))&
(![X]:((tall(X)|~funny(X))<=>(kind(X)<~>~funny(X))))&
(![X]:(~generous(X)<=>~tall(X)))&
(![X]:((tall(X)<~>~quiet(X))<=>(creative(X)&calm(X))))&
(((~strong(susan)|brave(susan)))=>(tall(mary)))&
(![X]:((~tall(... | old(paul) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2106356021927557945267173
% SZS output start Proof for 2106356021927557945267173
3. ! [X0] : ((~funny(X0) | tall(X0)) <=> (kind(X0) <~> ~funny(X0))) [input p2]
4. ! [X0] : (~generous(X0) <=> ~tall(X0)) [input p3]
5. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (calm(X0) & creative(X0))) [input... | 0 |
If someone is both not tall and calm then john is creative or humble.
Everyone who is rich or happy is either not tall or rich and vice versa.
If fred is not happy then mary is either not funny or rich and vice versa.
Everyone who is not brave or not humble is both not happy and funny and vice versa.
Everyone who is bo... | Fred is not happy. | entailment | ((?[X]:((~tall(X)&calm(X))))=>((creative(john)|humble(john))))&
(![X]:((rich(X)|happy(X))<=>(~tall(X)<~>rich(X))))&
((~happy(fred))<=>((~funny(mary)<~>rich(mary))))&
(![X]:((~brave(X)|~humble(X))<=>(~happy(X)&funny(X))))&
(![X]:((calm(X)&~wise(X))<=>(~calm(X)<~>~humble(X))))&
(((strong(paul)|~rich(paul)))<=>(brave(fred... | ~happy(fred) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3994243779985646873118541
% SZS output start Proof for 3994243779985646873118541
4. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (funny(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((~wise(X0) & calm(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p4]
7. ? [X0] : (~kind(X0) | ~brave(X0)) => (~wise(... | 0 |
Everyone who is both quiet and not calm is not happy or happy.
Everyone who is either curious or strong is not quiet or not brave and vice versa.
If someone is not happy then john is rich or happy and vice versa.
If someone is creative then paul is not patient and vice versa.
If someone is not old then someone is both ... | Susan is quiet. | entailment | (![X]:((quiet(X)&~calm(X))=>(~happy(X)|happy(X))))&
(![X]:((curious(X)<~>strong(X))<=>(~quiet(X)|~brave(X))))&
((?[X]:(~happy(X)))<=>((rich(john)|happy(john))))&
((?[X]:(creative(X)))<=>(~patient(paul)))&
((?[X]:(~old(X)))=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((humble(X)<~>strong(X))<=>(strong(X)|patient(X))))&
(![X]... | quiet(susan) | [
"p1",
"p5",
"p6",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5692937901256019517991961
% SZS output start Proof for 5692937901256019517991961
2. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (~brave(X0) | ~quiet(X0))) [input p1]
6. ! [X0] : ((humble(X0) <~> strong(X0)) <=> (patient(X0) | strong(X0))) [input p5]
7. ! [X0] : ((~wise(X0) | curious(X0)) =... | 0 |
If someone is not humble then mary is either calm or curious and vice versa. Everyone who is not generous or not strong is not wise and vice versa. Everyone who is humble is kind or not tall. If fred is either not funny or patient then someone is both not creative and not kind. If someone is either not humble or not ge... | Mary is generous. | contradiction | ((?[X]:(~humble(X)))<=>((calm(mary)<~>curious(mary))))&
(![X]:((~generous(X)|~strong(X))<=>~wise(X)))&
(![X]:(humble(X)=>(kind(X)|~tall(X))))&
(((~funny(fred)<~>patient(fred)))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(brave(mary)))&
(![X]:((~patient(X)&~wise(X))<=>(happy(X)|~quiet(X))... | generous(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"p15",
"p16",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7560429503711258708426946
% SZS output start Proof for 7560429503711258708426946
1. ? [X0] : ~humble(X0) <=> (calm(mary) <~> curious(mary)) [input p0]
2. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> ~wise(X0)) [input p1]
3. ! [X0] : (humble(X0) => (~tall(X0) | kind(X0))) [input p2]
5. ? [X... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is patient and vice versa.
If paul is curious then someone is both not old and humble.
Everyone who is both not generous and not calm is not curious or not strong.
Everyone who is ... | Lucy is creative. | contradiction | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((curious(paul))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~generous(X)&~calm(X))=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=>rich(X)))&
((~kind(susan))=>((creative(alice)<~>kind(alice))))&
(... | creative(lucy) | [
"p0",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3041131705615170685862734
% SZS output start Proof for 3041131705615170685862734
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
5. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> rich(X0)) [input p4]
22. ~kind(lucy) & ~humble(lucy) [input p21]
25. creative(l... | 0 |
If someone is not curious then lucy is not humble or calm.
If john is not happy or tall then someone is not quiet.
If alice is not generous then someone is either old or kind.
Everyone who is either wise or not funny is either calm or wise.
If someone is not generous then someone is not humble and vice versa.
Everyone ... | Paul is not quiet. | contradiction | ((?[X]:(~curious(X)))=>((~humble(lucy)|calm(lucy))))&
(((~happy(john)|tall(john)))=>(?[X]:(~quiet(X))))&
((~generous(alice))=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:((wise(X)<~>~funny(X))=>(calm(X)<~>wise(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~humble(X))))&
(![X]:(quiet(X)<=>~rich(X)))&
((~brave(paul))=>(?[X]:((~rich(X)<... | ~quiet(paul) | [
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7117235944052685447572303
% SZS output start Proof for 7117235944052685447572303
9. ! [X0] : ((kind(X0) <~> ~brave(X0)) => (kind(X0) <~> ~curious(X0))) [input p8]
15. ! [X0] : ((kind(X0) | funny(X0)) => (quiet(X0) & tall(X0))) [input p14]
22. curious(paul) & ~brave(paul) [input p21]
25. ~... | 0 |
If someone is not generous or not rich then someone is either not strong or generous. Everyone who is funny is both humble and curious and vice versa. Everyone who is not calm or patient is either not tall or not strong and vice versa. Everyone who is both not strong and not tall is both humble and happy. Everyone who ... | Paul is calm. | contradiction | ((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(funny(X)<=>(humble(X)&curious(X))))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~strong(X)&~tall(X))=>(humble(X)&happy(X))))&
(![X]:((~curious(X)|~patient(X))=>humble(X)))&
(((quiet(lucy)|~tall(lucy)))=>(?[X]:((rich(X... | calm(paul) | [
"p1",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4376307070141487649654915
% SZS output start Proof for 4376307070141487649654915
2. ! [X0] : (funny(X0) <=> (curious(X0) & humble(X0))) [input p1]
8. ? [X0] : (funny(X0) | ~humble(X0)) => (rich(susan) & ~rich(susan)) [input p7]
9. ! [X0] : ((~curious(X0) | ~old(X0)) => ~calm(X0)) [input p... | 0 |
Everyone who is not strong is both not patient and not kind and vice versa.
Everyone who is not funny or not patient is either quiet or not patient and vice versa.
Everyone who is not calm is both patient and not wise.
Everyone who is creative is both not wise and not generous and vice versa.
Everyone who is either kin... | Lucy is strong. | neutral | (![X]:(~strong(X)<=>(~patient(X)&~kind(X))))&
(![X]:((~funny(X)|~patient(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:(~calm(X)=>(patient(X)&~wise(X))))&
(![X]:(creative(X)<=>(~wise(X)&~generous(X))))&
(![X]:((kind(X)<~>tall(X))=>(brave(X)|generous(X))))&
(((~generous(fred)|kind(fred)))=>((strong(fred)<~>~patient(fred))))&
... | strong(lucy) | [] | null | 0 |
Everyone who is both funny and not funny is either not wise or not strong.
If someone is either tall or not humble then someone is both quiet and not quiet and vice versa.
If susan is not quiet then someone is either creative or not strong and vice versa.
Everyone who is old or not funny is not old.
Everyone who is eit... | John is not quiet. | neutral | (![X]:((funny(X)&~funny(X))=>(~wise(X)<~>~strong(X))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((~quiet(susan))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((old(X)|~funny(X))=>~old(X)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(~funny(X)|~kind(X))))&
(![X]:((funny(X)&~old(X))<=>(generous(X)&quiet... | ~quiet(john) | [] | null | 0 |
Everyone who is both funny and wise is humble and vice versa.
If someone is either not tall or not old then fred is either not curious or curious and vice versa.
If paul is happy then someone is not quiet and vice versa.
If someone is both happy and not funny then susan is either brave or not funny and vice versa.
Ever... | Lucy is humble. | neutral | (![X]:((funny(X)&wise(X))<=>humble(X)))&
((?[X]:((~tall(X)<~>~old(X))))<=>((~curious(fred)<~>curious(fred))))&
((happy(paul))<=>(?[X]:(~quiet(X))))&
((?[X]:((happy(X)&~funny(X))))<=>((brave(susan)<~>~funny(susan))))&
(![X]:((~curious(X)&funny(X))=>(~brave(X)<~>rich(X))))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~pat... | humble(lucy) | [] | null | 0 |
If fred is humble or curious then someone is both rich and not humble.
If someone is both not generous and not kind then lucy is not happy or not generous.
If someone is funny or not old then mary is both not strong and funny and vice versa.
If someone is either not quiet or not patient then lucy is old and vice versa.... | Alice is curious. | entailment | (((humble(fred)|curious(fred)))=>(?[X]:((rich(X)&~humble(X)))))&
((?[X]:((~generous(X)&~kind(X))))=>((~happy(lucy)|~generous(lucy))))&
((?[X]:((funny(X)|~old(X))))<=>((~strong(mary)&funny(mary))))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(old(lucy)))&
(![X]:((rich(X)|humble(X))<=>(~generous(X)|generous(X))))&
(![X]:(~ric... | curious(alice) | [
"p2",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2113219277953919716267178
% SZS output start Proof for 2113219277953919716267178
3. ? [X0] : (~old(X0) | funny(X0)) <=> (funny(mary) & ~strong(mary)) [input p2]
11. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> ~old(X0)) [input p10]
14. ! [X0] : ((~strong(X0) | tall(X0)) <=> (funny(X0) & quiet... | 0 |
Everyone who is not curious is quiet.
Everyone who is either curious or strong is not wise or not funny and vice versa.
If mary is either not funny or not calm then someone is not rich and vice versa.
If fred is either old or wise then paul is not calm and vice versa.
Everyone who is either not brave or tall is both wi... | Fred is not calm. | neutral | (![X]:(~curious(X)=>quiet(X)))&
(![X]:((curious(X)<~>strong(X))<=>(~wise(X)|~funny(X))))&
(((~funny(mary)<~>~calm(mary)))<=>(?[X]:(~rich(X))))&
(((old(fred)<~>wise(fred)))<=>(~calm(paul)))&
(![X]:((~brave(X)<~>tall(X))<=>(wise(X)&happy(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~generous(X)|~patient(X))))&
(![X]:(strong... | ~calm(fred) | [] | null | 0 |
If paul is either happy or not kind then someone is not humble or tall and vice versa. If mary is old or brave then paul is not rich and vice versa. Everyone who is either not curious or not patient is old. If fred is both wise and not wise then lucy is either brave or generous. If someone is rich or quiet then someone... | Paul is humble. | entailment | (((happy(paul)<~>~kind(paul)))<=>(?[X]:((~humble(X)|tall(X)))))&
(((old(mary)|brave(mary)))<=>(~rich(paul)))&
(![X]:((~curious(X)<~>~patient(X))=>old(X)))&
(((wise(fred)&~wise(fred)))=>((brave(lucy)<~>generous(lucy))))&
((?[X]:((rich(X)|quiet(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:(~curious(X)=>(kind(X)|crea... | humble(paul) | [
"p0",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8353866729602109600144454
% SZS output start Proof for 8353866729602109600144454
1. (happy(paul) <~> ~kind(paul)) <=> ? [X0] : (tall(X0) | ~humble(X0)) [input p0]
8. ! [X0] : ((wise(X0) & ~humble(X0)) => (happy(X0) & ~patient(X0))) [input p7]
12. ! [X0] : (~wise(X0) <=> (generous(X0) & ~g... | 0 |
If john is either not happy or strong then someone is either not strong or curious.
Everyone who is both creative and curious is curious.
Everyone who is curious is both not happy and not funny.
Everyone who is both not kind and not strong is kind and vice versa.
If alice is not brave then someone is creative.
Everyone... | Susan is curious. | contradiction | (((~happy(john)<~>strong(john)))=>(?[X]:((~strong(X)<~>curious(X)))))&
(![X]:((creative(X)&curious(X))=>curious(X)))&
(![X]:(curious(X)=>(~happy(X)&~funny(X))))&
(![X]:((~kind(X)&~strong(X))<=>kind(X)))&
((~brave(alice))=>(?[X]:(creative(X))))&
(![X]:((~generous(X)&quiet(X))<=>(~curious(X)&quiet(X))))&
(![X]:((~happy(X... | curious(susan) | [
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5434072274540438046320816
% SZS output start Proof for 5434072274540438046320816
3. ! [X0] : (curious(X0) => (~funny(X0) & ~happy(X0))) [input p2]
16. ! [X0] : ((~old(X0) <~> rich(X0)) <=> (funny(X0) | ~old(X0))) [input p15]
17. rich(susan) & ~humble(susan) [input p16]
24. curious(susan) ... | 0 |
Everyone who is not patient or curious is funny and vice versa. If fred is either quiet or not rich then susan is not old. Everyone who is both brave and funny is curious or generous and vice versa. Everyone who is both strong and funny is either humble or wise. Everyone who is either not curious or happy is either kin... | Susan is not patient. | neutral | (![X]:((~patient(X)|curious(X))<=>funny(X)))&
(((quiet(fred)<~>~rich(fred)))=>(~old(susan)))&
(![X]:((brave(X)&funny(X))<=>(curious(X)|generous(X))))&
(![X]:((strong(X)&funny(X))=>(humble(X)<~>wise(X))))&
(![X]:((~curious(X)<~>happy(X))=>(kind(X)<~>~old(X))))&
(![X]:((~old(X)<~>calm(X))=>quiet(X)))&
(![X]:((~patient(X)... | ~patient(susan) | [] | null | 0 |
If someone is both not quiet and not patient then paul is rich and vice versa. Everyone who is either wise or not strong is not rich or calm. Everyone who is humble is both happy and brave. Everyone who is not calm is not quiet or not funny. If someone is either quiet or generous then alice is not brave or not rich. If... | Paul is not creative. | contradiction | ((?[X]:((~quiet(X)&~patient(X))))<=>(rich(paul)))&
(![X]:((wise(X)<~>~strong(X))=>(~rich(X)|calm(X))))&
(![X]:(humble(X)=>(happy(X)&brave(X))))&
(![X]:(~calm(X)=>(~quiet(X)|~funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>((~brave(alice)|~rich(alice))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((ri... | ~creative(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 672792999124132495237304
% SZS output start Proof for 672792999124132495237304
3. ! [X0] : (humble(X0) => (brave(X0) & happy(X0))) [input p2]
8. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~brave(X0) & humble(X0))) [input p7]
23. ~creative(paul) [input hypothesis]
31. ! [X0] : ((brave(X... | 0 |
Everyone who is funny is both not tall and generous and vice versa. If someone is either not curious or not rich then someone is both happy and not humble and vice versa. Everyone who is not quiet or not creative is both not tall and creative and vice versa. Everyone who is both not wise and not brave is quiet or not r... | Fred is not strong. | contradiction | (![X]:(funny(X)<=>(~tall(X)&generous(X))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:((~quiet(X)|~creative(X))<=>(~tall(X)&creative(X))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X... | ~strong(fred) | [
"p2",
"p3",
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3780360243456309129814655
% SZS output start Proof for 3780360243456309129814655
3. ! [X0] : ((~creative(X0) | ~quiet(X0)) <=> (creative(X0) & ~tall(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> (~rich(X0) | quiet(X0))) [input p3]
8. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~... | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | Alice is not brave. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | ~brave(alice) | [
"p1",
"p2",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2325295144906275760543007
% SZS output start Proof for 2325295144906275760543007
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | old(X0)) => ~tall(X0)) [input p6]
15. ? [X0]... | 0 |
Everyone who is both not quiet and not tall is happy or not happy and vice versa. Everyone who is curious is both rich and patient. Everyone who is strong or not patient is not patient. Everyone who is not quiet or not calm is either not curious or strong. Everyone who is kind or creative is generous or tall. If alice ... | Fred is not creative. | neutral | (![X]:((~quiet(X)&~tall(X))<=>(happy(X)|~happy(X))))&
(![X]:(curious(X)=>(rich(X)&patient(X))))&
(![X]:((strong(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)|~calm(X))=>(~curious(X)<~>strong(X))))&
(![X]:((kind(X)|creative(X))=>(generous(X)|tall(X))))&
((~happy(alice))<=>(?[X]:((~brave(X)&~happy(X)))))&
(![X]:((~qu... | ~creative(fred) | [] | null | 0 |
If someone is generous then someone is not brave or patient and vice versa.
If mary is not creative then someone is either not funny or not kind and vice versa.
Everyone who is generous is both old and not happy and vice versa.
Everyone who is patient or not calm is both not tall and not kind.
Everyone who is either no... | Lucy is calm. | neutral | ((?[X]:(generous(X)))<=>(?[X]:((~brave(X)|patient(X)))))&
((~creative(mary))<=>(?[X]:((~funny(X)<~>~kind(X)))))&
(![X]:(generous(X)<=>(old(X)&~happy(X))))&
(![X]:((patient(X)|~calm(X))=>(~tall(X)&~kind(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(humble(X)&~happy(X))))&
(![X]:(~kind(X)<=>creative(X)))&
(((~rich(fred)<~>~pa... | calm(lucy) | [] | null | 0 |
Everyone who is either wise or quiet is not rich or not wise and vice versa.
If john is wise or brave then paul is not generous and vice versa.
Everyone who is curious is happy.
If someone is either wise or patient then someone is not curious or not funny.
Everyone who is strong is both humble and creative and vice ver... | Fred is not humble. | entailment | (![X]:((wise(X)<~>quiet(X))<=>(~rich(X)|~wise(X))))&
(((wise(john)|brave(john)))<=>(~generous(paul)))&
(![X]:(curious(X)=>happy(X)))&
((?[X]:((wise(X)<~>patient(X))))=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(strong(X)<=>(humble(X)&creative(X))))&
(![X]:((~happy(X)&~humble(X))<=>~calm(X)))&
(![X]:((~rich(X)<~>calm(X))... | ~humble(fred) | [
"p0",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3955248596474996196353640
% SZS output start Proof for 3955248596474996196353640
1. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (~wise(X0) | ~rich(X0))) [input p0]
10. ! [X0] : ((~quiet(X0) & humble(X0)) => ~wise(X0)) [input p9]
12. ! [X0] : ((quiet(X0) & generous(X0)) <=> quiet(X0)) [input p1... | 0 |
Everyone who is both patient and rich is both tall and strong and vice versa.
Everyone who is funny or not strong is either calm or brave and vice versa.
Everyone who is quiet is both not calm and not old.
Everyone who is either tall or not creative is either rich or not patient and vice versa.
If fred is either not hu... | Alice is rich. | neutral | (![X]:((patient(X)&rich(X))<=>(tall(X)&strong(X))))&
(![X]:((funny(X)|~strong(X))<=>(calm(X)<~>brave(X))))&
(![X]:(quiet(X)=>(~calm(X)&~old(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(rich(X)<~>~patient(X))))&
(((~humble(fred)<~>tall(fred)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![... | rich(alice) | [] | null | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not happy and happy and vice versa.
Everyone who is quiet or wise is rich or not curious and vice versa.
Everyone who is quiet is either quiet or happy... | Lucy is not patient. | entailment | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(rich(X)<~>~patient(X))))&
(![X]:(generous(X)<=... | ~patient(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8483615716943696563428822
% SZS output start Proof for 8483615716943696563428822
17. ~patient(lucy) & ~calm(lucy) [input p16]
21. patient(lucy) [input hypothesis]
123. ~patient(lucy) [cnf transformation 17]
130. patient(lucy) [cnf transformation 21]
201. $false [subsumption resolution 130... | 0 |
Everyone who is either not wise or strong is not curious and vice versa.
Everyone who is either not patient or not generous is either rich or wise and vice versa.
If someone is not funny or not happy then susan is not tall.
If someone is tall then someone is either not calm or not curious.
Everyone who is kind or not h... | Fred is not generous. | entailment | (![X]:((~wise(X)<~>strong(X))<=>~curious(X)))&
(![X]:((~patient(X)<~>~generous(X))<=>(rich(X)<~>wise(X))))&
((?[X]:((~funny(X)|~happy(X))))=>(~tall(susan)))&
((?[X]:(tall(X)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(![X]:((kind(X)|~happy(X))<=>(~creative(X)|patient(X))))&
(![X]:((generous(X)|funny(X))<=>~calm(X)))&
(((ol... | ~generous(fred) | [
"p1",
"p5",
"p8",
"p11",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 270152116176190256089010
% SZS output start Proof for 270152116176190256089010
2. ! [X0] : ((~patient(X0) <~> ~generous(X0)) <=> (rich(X0) <~> wise(X0))) [input p1]
6. ! [X0] : ((funny(X0) | generous(X0)) <=> ~calm(X0)) [input p5]
9. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> (rich(X0) & ~calm... | 0 |
Everyone who is either quiet or creative is both calm and not rich. If someone is tall or happy then alice is not creative or humble. Everyone who is both not kind and not creative is generous or calm and vice versa. Everyone who is humble or not kind is either not funny or brave and vice versa. Everyone who is funny o... | Susan is creative. | neutral | (![X]:((quiet(X)<~>creative(X))=>(calm(X)&~rich(X))))&
((?[X]:((tall(X)|happy(X))))=>((~creative(alice)|humble(alice))))&
(![X]:((~kind(X)&~creative(X))<=>(generous(X)|calm(X))))&
(![X]:((humble(X)|~kind(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)|happy(X))<=>(~wise(X)&calm(X))))&
((~creative(lucy))<=>((~curious(s... | creative(susan) | [] | null | 0 |
If fred is old then someone is either kind or strong.
If someone is not strong or not happy then lucy is tall.
Everyone who is quiet is curious or funny and vice versa.
Everyone who is both not wise and not humble is either not strong or not happy and vice versa.
Everyone who is not strong or wise is generous and vice ... | Fred is not generous. | neutral | ((old(fred))=>(?[X]:((kind(X)<~>strong(X)))))&
((?[X]:((~strong(X)|~happy(X))))=>(tall(lucy)))&
(![X]:(quiet(X)<=>(curious(X)|funny(X))))&
(![X]:((~wise(X)&~humble(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)|wise(X))<=>generous(X)))&
(((~tall(lucy)|~strong(lucy)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(~bra... | ~generous(fred) | [] | null | 0 |
Everyone who is both curious and old is brave or not brave.
Everyone who is either not generous or not calm is either curious or humble and vice versa.
If someone is either not wise or humble then alice is not brave.
Everyone who is either not patient or not humble is patient and vice versa.
Everyone who is either humb... | Susan is kind. | neutral | (![X]:((curious(X)&old(X))=>(brave(X)|~brave(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(curious(X)<~>humble(X))))&
((?[X]:((~wise(X)<~>humble(X))))=>(~brave(alice)))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))<=>(curious(X)&brave(X))))&
((?[X]:((brave(X)&patient(X))))<=>((creative(f... | kind(susan) | [] | null | 0 |
If someone is either not funny or not kind then someone is either creative or not kind and vice versa. Everyone who is both not happy and creative is both not creative and not happy and vice versa. If someone is either not creative or rich then alice is not wise or not kind and vice versa. If john is not humble or gene... | Paul is patient. | contradiction | ((?[X]:((~funny(X)<~>~kind(X))))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((~creative(X)<~>rich(X))))<=>((~wise(alice)|~kind(alice))))&
(((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(... | patient(paul) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7693291403458910151475950
% SZS output start Proof for 7693291403458910151475950
1. ? [X0] : (~funny(X0) <~> ~kind(X0)) <=> ? [X0] : (creative(X0) <~> ~kind(X0)) [input p0]
5. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> (kind(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) & wise(X0)... | 0 |
Everyone who is both kind and happy is both not old and not strong and vice versa.
If someone is both brave and not funny then someone is either not rich or not wise.
Everyone who is kind is either generous or not happy and vice versa.
Everyone who is not generous or not wise is both tall and rich.
If someone is either... | Fred is humble. | entailment | (![X]:((kind(X)&happy(X))<=>(~old(X)&~strong(X))))&
((?[X]:((brave(X)&~funny(X))))=>(?[X]:((~rich(X)<~>~wise(X)))))&
(![X]:(kind(X)<=>(generous(X)<~>~happy(X))))&
(![X]:((~generous(X)|~wise(X))=>(tall(X)&rich(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:(tall(X))))&
(![X]:(~calm(X)<=>(old(X)&~kind(X))))&
((~calm(ma... | humble(fred) | [
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2117529987399432844262489
% SZS output start Proof for 2117529987399432844262489
6. ! [X0] : (~calm(X0) <=> (~kind(X0) & old(X0))) [input p5]
10. ! [X0] : ((strong(X0) | old(X0)) <=> (strong(X0) & humble(X0))) [input p9]
11. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (calm(X0) | quiet(X0))) [... | 0 |
Everyone who is both strong and not old is strong or quiet. If someone is either strong or not wise then mary is creative. Everyone who is both funny and strong is curious or not rich and vice versa. If alice is wise then someone is rich or not quiet. Everyone who is either kind or not old is either curious or not wise... | John is not strong. | contradiction | (![X]:((strong(X)&~old(X))=>(strong(X)|quiet(X))))&
((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]... | ~strong(john) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 520227433340477971350879
% SZS output start Proof for 520227433340477971350879
3. ! [X0] : ((strong(X0) & funny(X0)) <=> (~rich(X0) | curious(X0))) [input p2]
12. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~brave(X0) & ~tall(X0))) [input p11]
13. ! [X0] : (tall(X0) <=> (quiet(X0) | r... | 0 |
If someone is both not creative and not happy then lucy is either not strong or funny.
Everyone who is curious or patient is either not rich or not funny.
Everyone who is either calm or generous is not tall or not strong.
Everyone who is old or not rich is both wise and generous.
Everyone who is not quiet is creative o... | Lucy is not humble. | neutral | ((?[X]:((~creative(X)&~happy(X))))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((curious(X)|patient(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))=>(~tall(X)|~strong(X))))&
(![X]:((old(X)|~rich(X))=>(wise(X)&generous(X))))&
(![X]:(~quiet(X)<=>(creative(X)|wise(X))))&
(((generous(mary)&~brave(mary)))=>((~qui... | ~humble(lucy) | [] | null | 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 ... | Susan is not tall. | entailment | (![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))))&
(... | ~tall(susan) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 64110046301683973215058
% SZS output start Proof for 64110046301683973215058
3. ! [X0] : (~tall(X0) <=> (creative(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((wise(X0) | humble(X0)) => ~calm(X0)) [input p3]
7. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (~creative(X0) <~> ~humble(X0))) [inpu... | 0 |
Everyone who is both not tall and generous is generous or patient and vice versa. Everyone who is not brave or humble is either patient or not wise. Everyone who is both quiet and not patient is not happy or not curious. Everyone who is kind or not quiet is both patient and not generous. Everyone who is both curious an... | Mary is old. | entailment | (![X]:((~tall(X)&generous(X))<=>(generous(X)|patient(X))))&
(![X]:((~brave(X)|humble(X))=>(patient(X)<~>~wise(X))))&
(![X]:((quiet(X)&~patient(X))=>(~happy(X)|~curious(X))))&
(![X]:((kind(X)|~quiet(X))=>(patient(X)&~generous(X))))&
(![X]:((curious(X)&~brave(X))<=>(~happy(X)|humble(X))))&
(![X]:((~patient(X)|~rich(X))<=... | old(mary) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1613418953301880302637191
% SZS output start Proof for 1613418953301880302637191
5. ! [X0] : ((~brave(X0) & curious(X0)) <=> (humble(X0) | ~happy(X0))) [input p4]
7. ? [X0] : (~funny(X0) | happy(X0)) => ? [X0] : (~happy(X0) & ~old(X0)) [input p6]
11. ! [X0] : ((old(X0) & calm(X0)) <=> (cu... | 0 |
If someone is either generous or kind then lucy is quiet and vice versa.
If susan is wise or not funny then someone is both not kind and not funny and vice versa.
If paul is both not kind and not patient then john is both humble and not rich and vice versa.
If alice is either rich or wise then alice is both not calm an... | Susan is brave. | entailment | ((?[X]:((generous(X)<~>kind(X))))<=>(quiet(lucy)))&
(((wise(susan)|~funny(susan)))<=>(?[X]:((~kind(X)&~funny(X)))))&
(((~kind(paul)&~patient(paul)))<=>((humble(john)&~rich(john))))&
(((rich(alice)<~>wise(alice)))<=>((~calm(alice)&happy(alice))))&
(![X]:((~humble(X)|brave(X))<=>humble(X)))&
(((funny(alice)<~>creative(al... | brave(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1160033656005007668911156
% SZS output start Proof for 1160033656005007668911156
5. ! [X0] : ((brave(X0) | ~humble(X0)) <=> humble(X0)) [input p4]
25. ~brave(susan) [input hypothesis]
50. ! [X0] : (((brave(X0) | ~humble(X0)) | ~humble(X0)) & (humble(X0) | (~brave(X0) & humble(X0)))) [nnf ... | 0 |
If paul is not strong or not generous then fred is not patient and vice versa.
Everyone who is both not curious and humble is old or not rich and vice versa.
Everyone who is happy is not humble and vice versa.
Everyone who is generous or not creative is either not rich or calm.
If someone is either tall or not calm the... | Fred is funny. | entailment | (((~strong(paul)|~generous(paul)))<=>(~patient(fred)))&
(![X]:((~curious(X)&humble(X))<=>(old(X)|~rich(X))))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((generous(X)|~creative(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:((creative(X)|~humble(X))=>(~funny(X)<~>old(X)... | funny(fred) | [
"p1",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6157085358972563352296000
% SZS output start Proof for 6157085358972563352296000
2. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (~rich(X0) | old(X0))) [input p1]
6. ! [X0] : ((~humble(X0) | creative(X0)) => (~funny(X0) <~> old(X0))) [input p5]
10. ? [X0] : (~calm(X0) | ~old(X0)) <=> (old(jo... | 0 |
If susan is curious or not humble then someone is not calm or generous and vice versa. Everyone who is not strong or not patient is both rich and not old and vice versa. Everyone who is strong or calm is both creative and not curious. Everyone who is both wise and creative is not funny and vice versa. If mary is either... | Fred is not tall. | contradiction | (((curious(susan)|~humble(susan)))<=>(?[X]:((~calm(X)|generous(X)))))&
(![X]:((~strong(X)|~patient(X))<=>(rich(X)&~old(X))))&
(![X]:((strong(X)|calm(X))=>(creative(X)&~curious(X))))&
(![X]:((wise(X)&creative(X))<=>~funny(X)))&
(((~tall(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~humble(X)|... | ~tall(fred) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5234348203028092611712290
% SZS output start Proof for 5234348203028092611712290
14. (~generous(fred) <~> curious(fred)) <=> (~tall(fred) & ~generous(fred)) [input p13]
22. curious(fred) [input p21]
25. ~tall(fred) [input hypothesis]
58. (((~curious(fred) | generous(fred)) & (curious(fred... | 0 |
Everyone who is not curious or wise is not quiet or happy and vice versa. If mary is both wise and brave then someone is either not wise or not patient. Everyone who is kind is either not humble or creative and vice versa. Everyone who is strong or not creative is not rich and vice versa. If paul is rich or kind then p... | John is not happy. | entailment | (![X]:((~curious(X)|wise(X))<=>(~quiet(X)|happy(X))))&
(((wise(mary)&brave(mary)))=>(?[X]:((~wise(X)<~>~patient(X)))))&
(![X]:(kind(X)<=>(~humble(X)<~>creative(X))))&
(![X]:((strong(X)|~creative(X))<=>~rich(X)))&
(((rich(paul)|kind(paul)))=>((~brave(paul)|~kind(paul))))&
(![X]:((~wise(X)<~>~generous(X))=>(~humble(X)<~>... | ~happy(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3565785256555109469310671
% SZS output start Proof for 3565785256555109469310671
10. ! [X0] : (~happy(X0) <=> (happy(X0) | ~patient(X0))) [input p9]
24. happy(john) [input hypothesis]
45. ! [X0] : ((~happy(X0) | (~happy(X0) & patient(X0))) & ((happy(X0) | ~patient(X0)) | happy(X0))) [nnf ... | 0 |
If susan is both not happy and kind then someone is either not calm or wise and vice versa.
Everyone who is either happy or not humble is humble or tall and vice versa.
Everyone who is kind or calm is both patient and not quiet and vice versa.
Everyone who is not rich or happy is not kind.
Everyone who is either patien... | John is happy. | contradiction | (((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X))<=>(humble(X)|tall(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&~quiet(X))))&
(![X]:((~rich(X)|happy(X))=>~kind(X)))&
(![X]:((patient(X)<~>generous(X))<=>(kind(X)&happy(X))))&
(((~rich(john)<~>old(john)))<=>((humble(paul)<~>... | happy(john) | [
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1993547698385443687571277
% SZS output start Proof for 1993547698385443687571277
4. ! [X0] : ((happy(X0) | ~rich(X0)) => ~kind(X0)) [input p3]
8. ! [X0] : (calm(X0) => kind(X0)) [input p7]
12. ! [X0] : (happy(X0) <=> calm(X0)) [input p11]
22. happy(john) [input hypothesis]
26. ! [X0] : (~... | 0 |
If alice is both not strong and funny then someone is creative or generous and vice versa. If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patie... | Alice is not patient. | contradiction | (((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happ... | ~patient(alice) | [
"p0",
"p8",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8007200328349249124386872
% SZS output start Proof for 8007200328349249124386872
1. (funny(alice) & ~strong(alice)) <=> ? [X0] : (generous(X0) | creative(X0)) [input p0]
9. (~humble(alice) | curious(alice)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p8]
11. ! [X0] : ((~rich(X0) <~> ~... | 0 |
Everyone who is both not happy and not strong is not funny or not brave and vice versa.
Everyone who is both humble and not patient is not kind and vice versa.
If someone is wise or not humble then someone is quiet.
If john is either brave or not rich then lucy is funny or happy.
If john is both humble and not curious ... | Fred is brave. | entailment | (![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|happy(lucy))))&
(((humble(john)&~curious(john)))=>(?[X]:((calm(X)|~tall(X)))))&
((?[X]:((patient(X)|~quiet(X))))=>(?[X]:... | brave(fred) | [
"p0",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1866633416962374793904978
% SZS output start Proof for 1866633416962374793904978
1. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p0]
8. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p7]
11. ! [X0] : ((~strong(X0) <~> funny(X0)) =... | 0 |
Everyone who is curious is both not brave and not creative.
Everyone who is not curious or not brave is either tall or not happy.
Everyone who is not patient or not tall is curious.
Everyone who is both not wise and happy is not wise or funny and vice versa.
Everyone who is either not humble or not happy is strong or n... | Fred is creative. | contradiction | (![X]:(curious(X)=>(~brave(X)&~creative(X))))&
(![X]:((~curious(X)|~brave(X))=>(tall(X)<~>~happy(X))))&
(![X]:((~patient(X)|~tall(X))=>curious(X)))&
(![X]:((~wise(X)&happy(X))<=>(~wise(X)|funny(X))))&
(![X]:((~humble(X)<~>~happy(X))=>(strong(X)|~patient(X))))&
((?[X]:((patient(X)|strong(X))))<=>((generous(susan)<~>~kin... | creative(fred) | [
"p0",
"p1",
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4797207571967760428897780
% SZS output start Proof for 4797207571967760428897780
1. ! [X0] : (curious(X0) => (~creative(X0) & ~brave(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~curious(X0)) => (tall(X0) <~> ~happy(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) => curious(X0)) [... | 0 |
If susan is not happy then someone is not quiet or old and vice versa.
Everyone who is humble is either not curious or rich and vice versa.
Everyone who is both kind and not funny is brave.
If paul is calm or not creative then mary is quiet or funny.
If fred is both curious and not wise then alice is not quiet.
If some... | Susan is creative. | contradiction | ((~happy(susan))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:(humble(X)<=>(~curious(X)<~>rich(X))))&
(![X]:((kind(X)&~funny(X))=>brave(X)))&
(((calm(paul)|~creative(paul)))=>((quiet(mary)|funny(mary))))&
(((curious(fred)&~wise(fred)))=>(~quiet(alice)))&
((?[X]:(generous(X)))<=>((old(mary)&~wise(mary))))&
((?[X]:((old(X)&kind... | creative(susan) | [
"p7",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1215311721469353817645627
% SZS output start Proof for 1215311721469353817645627
8. ! [X0] : (~quiet(X0) <=> ~calm(X0)) [input p7]
9. ? [X0] : (rich(X0) | creative(X0)) <=> patient(john) [input p8]
12. ! [X0] : ((~strong(X0) | generous(X0)) <=> (~funny(X0) & calm(X0))) [input p11]
14. ? [... | 0 |
Everyone who is not kind is not funny.
If paul is not quiet then alice is not old.
Everyone who is not tall or not old is funny or not rich and vice versa.
If someone is not kind then susan is not brave.
Everyone who is either not strong or not curious is both funny and not humble.
If lucy is both not curious and not c... | Mary is funny. | entailment | (![X]:(~kind(X)=>~funny(X)))&
((~quiet(paul))=>(~old(alice)))&
(![X]:((~tall(X)|~old(X))<=>(funny(X)|~rich(X))))&
((?[X]:(~kind(X)))=>(~brave(susan)))&
(![X]:((~strong(X)<~>~curious(X))=>(funny(X)&~humble(X))))&
(((~curious(lucy)&~creative(lucy)))<=>((~curious(mary)<~>~wise(mary))))&
((?[X]:(old(X)))=>((wise(susan)&~ki... | funny(mary) | [
"p0",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8702457329149001457254830
% SZS output start Proof for 8702457329149001457254830
1. ! [X0] : (~kind(X0) => ~funny(X0)) [input p0]
7. ? [X0] : old(X0) => (~kind(susan) & wise(susan)) [input p6]
13. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (kind(X0) & old(X0))) [input p12]
14. ! [X0] : ((~kin... | 0 |
Everyone who is humble is kind. Everyone who is both kind and quiet is not strong. Everyone who is tall is both strong and not curious. Everyone who is either not tall or not curious is either not brave or not funny. Everyone who is either not patient or calm is brave or not rich and vice versa. If someone is both curi... | Alice is not strong. | entailment | (![X]:(humble(X)=>kind(X)))&
(![X]:((kind(X)&quiet(X))=>~strong(X)))&
(![X]:(tall(X)=>(strong(X)&~curious(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((rich(X)|~kind(X)))))&
(![X]:((wise(X)&~old(X))<=>... | ~strong(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4563995652755257902629588
% SZS output start Proof for 4563995652755257902629588
2. ! [X0] : ((quiet(X0) & kind(X0)) => ~strong(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~curious(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input... | 0 |
Everyone who is not calm is both not quiet and creative and vice versa. If paul is not funny or rich then paul is either not rich or tall. Everyone who is both creative and not kind is both quiet and not kind. If someone is either humble or strong then someone is old or not tall. If alice is not rich then someone is hu... | Alice is not strong. | entailment | (![X]:(~calm(X)<=>(~quiet(X)&creative(X))))&
(((~funny(paul)|rich(paul)))=>((~rich(paul)<~>tall(paul))))&
(![X]:((creative(X)&~kind(X))=>(quiet(X)&~kind(X))))&
((?[X]:((humble(X)<~>strong(X))))=>(?[X]:((old(X)|~tall(X)))))&
((~rich(alice))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(~tall(X)<=>(funny(X)<~>happy(X))))&
(... | ~strong(alice) | [
"p0",
"p2",
"p6",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2452682048007819605943215
% SZS output start Proof for 2452682048007819605943215
1. ! [X0] : (~calm(X0) <=> (creative(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : ((~kind(X0) & creative(X0)) => (~kind(X0) & quiet(X0))) [input p2]
7. ! [X0] : ((creative(X0) | ~creative(X0)) => (calm(X0) <~> ~... | 0 |
If someone is either not calm or humble then alice is both not strong and generous. Everyone who is either not quiet or not curious is rich. Everyone who is either not calm or patient is either not rich or humble and vice versa. Everyone who is either patient or kind is either not funny or not kind and vice versa. Ever... | Alice is old. | entailment | ((?[X]:((~calm(X)<~>humble(X))))=>((~strong(alice)&generous(alice))))&
(![X]:((~quiet(X)<~>~curious(X))=>rich(X)))&
(![X]:((~calm(X)<~>patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)<~>~kind(X))))&
(![X]:(~patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)<~>calm(X))))&... | old(alice) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 647452225656473119938006
% SZS output start Proof for 647452225656473119938006
1. ? [X0] : (~calm(X0) <~> humble(X0)) => (generous(alice) & ~strong(alice)) [input p0]
3. ! [X0] : ((~calm(X0) <~> patient(X0)) <=> (~rich(X0) <~> humble(X0))) [input p2]
6. ! [X0] : (brave(X0) <=> (~wise(X0) ... | 0 |
Everyone who is not curious is kind or not old. If someone is not tall then lucy is both humble and not creative. If someone is rich then someone is not quiet and vice versa. Everyone who is not patient is patient. If lucy is both not calm and calm then someone is both not creative and not quiet. Everyone who is not ge... | Susan is not patient. | contradiction | (![X]:(~curious(X)=>(kind(X)|~old(X))))&
((?[X]:(~tall(X)))=>((humble(lucy)&~creative(lucy))))&
((?[X]:(rich(X)))<=>(?[X]:(~quiet(X))))&
(![X]:(~patient(X)=>patient(X)))&
(((~calm(lucy)&calm(lucy)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~happy(X)&generous(X))))&
(((wise(susan)&~kind(s... | ~patient(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5166845770219026495510734
% SZS output start Proof for 5166845770219026495510734
4. ! [X0] : (~patient(X0) => patient(X0)) [input p3]
23. ~patient(susan) [input hypothesis]
30. ! [X0] : (patient(X0) | patient(X0)) [ennf transformation 4]
84. patient(X0) | patient(X0) [cnf transformation 3... | 0 |
Everyone who is not generous is either not wise or wise.
If mary is creative or happy then fred is both strong and kind.
Everyone who is either not happy or not funny is both not brave and not old and vice versa.
If paul is wise then paul is not strong or not tall.
If susan is curious or strong then someone is either c... | Susan is old. | neutral | (![X]:(~generous(X)=>(~wise(X)<~>wise(X))))&
(((creative(mary)|happy(mary)))=>((strong(fred)&kind(fred))))&
(![X]:((~happy(X)<~>~funny(X))<=>(~brave(X)&~old(X))))&
((wise(paul))=>((~strong(paul)|~tall(paul))))&
(((curious(susan)|strong(susan)))=>(?[X]:((calm(X)<~>quiet(X)))))&
(![X]:((strong(X)&generous(X))=>(~old(X)|~... | old(susan) | [] | null | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or funny then someone is brave or patient and vice versa. Everyone who is not old or not wise is either generous or brave and vice versa. Everyone who is either kind or generous is not funny or not kind. Everyone who is patient or bra... | Mary is not quiet. | contradiction | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((~old(X)|~wise(X))<=>(generous(X)<~>brave(X))))&
(![X]:((kind(X)<~>generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~... | ~quiet(mary) | [
"p4",
"p5",
"p7",
"p8",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6328488343330682438662665
% SZS output start Proof for 6328488343330682438662665
5. ! [X0] : ((brave(X0) | patient(X0)) => (curious(X0) | quiet(X0))) [input p4]
6. ! [X0] : (~curious(X0) <=> (~generous(X0) | generous(X0))) [input p5]
8. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(... | 0 |
If fred is not rich then mary is either creative or kind.
Everyone who is old or humble is curious or not generous.
Everyone who is not tall or not wise is generous or creative and vice versa.
If someone is both not strong and happy then mary is either funny or not funny and vice versa.
If someone is curious then alice... | Alice is wise. | entailment | ((~rich(fred))=>((creative(mary)<~>kind(mary))))&
(![X]:((old(X)|humble(X))=>(curious(X)|~generous(X))))&
(![X]:((~tall(X)|~wise(X))<=>(generous(X)|creative(X))))&
((?[X]:((~strong(X)&happy(X))))<=>((funny(mary)<~>~funny(mary))))&
((?[X]:(curious(X)))=>(~happy(alice)))&
(![X]:((generous(X)<~>~brave(X))<=>(~brave(X)&old... | wise(alice) | [
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5608907203855718191966576
% SZS output start Proof for 5608907203855718191966576
10. ! [X0] : ((patient(X0) & ~wise(X0)) => (strong(X0) & ~tall(X0))) [input p9]
12. ! [X0] : (~patient(X0) <=> (~curious(X0) & ~strong(X0))) [input p11]
14. ! [X0] : (patient(X0) <=> ~strong(X0)) [input p13]
... | 0 |
If john is both not kind and happy then someone is happy. If someone is both kind and happy then someone is kind. If someone is old then someone is tall and vice versa. If someone is both not creative and funny then someone is not humble or not creative and vice versa. If john is not calm or patient then susan is happy... | John is not quiet. | contradiction | (((~kind(john)&happy(john)))=>(?[X]:(happy(X))))&
((?[X]:((kind(X)&happy(X))))=>(?[X]:(kind(X))))&
((?[X]:(old(X)))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)&funny(X))))<=>(?[X]:((~humble(X)|~creative(X)))))&
(((~calm(john)|patient(john)))=>(happy(susan)))&
(![X]:((~wise(X)|~tall(X))<=>(~kind(X)&~humble(X))))&
(((calm... | ~quiet(john) | [
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1865834467292971678500396
% SZS output start Proof for 1865834467292971678500396
4. ? [X0] : (funny(X0) & ~creative(X0)) <=> ? [X0] : (~creative(X0) | ~humble(X0)) [input p3]
6. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~kind(X0))) [input p5]
11. ? [X0] : (~quiet(X0) & tall(X0)... | 0 |
If alice is quiet or old then someone is not curious or not patient.
Everyone who is either not patient or not wise is both not kind and brave.
Everyone who is both not strong and tall is either not creative or tall and vice versa.
Everyone who is both happy and not wise is tall or calm.
Everyone who is either kind or ... | Alice is patient. | neutral | (((quiet(alice)|old(alice)))=>(?[X]:((~curious(X)|~patient(X)))))&
(![X]:((~patient(X)<~>~wise(X))=>(~kind(X)&brave(X))))&
(![X]:((~strong(X)&tall(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((happy(X)&~wise(X))=>(tall(X)|calm(X))))&
(![X]:((kind(X)<~>~rich(X))<=>(tall(X)&wise(X))))&
((?[X]:((~tall(X)|~curious(X))))<=>((hu... | patient(alice) | [] | null | 0 |
If susan is either tall or quiet then susan is both old and patient and vice versa.
If someone is not kind or rich then someone is both generous and not generous and vice versa.
Everyone who is curious is wise.
Everyone who is quiet or not kind is not quiet.
If fred is both not funny and quiet then susan is not generou... | Alice is curious. | contradiction | (((tall(susan)<~>quiet(susan)))<=>((old(susan)&patient(susan))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((generous(X)&~generous(X)))))&
(![X]:(curious(X)=>wise(X)))&
(![X]:((quiet(X)|~kind(X))=>~quiet(X)))&
(((~funny(fred)&quiet(fred)))=>(~generous(susan)))&
(![X]:(happy(X)<=>(brave(X)|old(X))))&
((?[X]:((~old(X)|funny(... | curious(alice) | [
"p1",
"p5",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6801717988991271306322977
% SZS output start Proof for 6801717988991271306322977
2. ? [X0] : (rich(X0) | ~kind(X0)) <=> ? [X0] : (~generous(X0) & generous(X0)) [input p1]
6. ! [X0] : (happy(X0) <=> (old(X0) | brave(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~calm(X0)) => (~wise(X0) & ~... | 0 |
Everyone who is wise or rich is patient and vice versa.
Everyone who is both wise and not quiet is both not generous and humble.
If alice is both humble and not curious then someone is tall or generous.
Everyone who is not calm is not humble or not curious and vice versa.
Everyone who is either not old or not funny is ... | Susan is calm. | entailment | (![X]:((wise(X)|rich(X))<=>patient(X)))&
(![X]:((wise(X)&~quiet(X))=>(~generous(X)&humble(X))))&
(((humble(alice)&~curious(alice)))=>(?[X]:((tall(X)|generous(X)))))&
(![X]:(~calm(X)<=>(~humble(X)|~curious(X))))&
(![X]:((~old(X)<~>~funny(X))=>(kind(X)&~patient(X))))&
(![X]:(~kind(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(... | calm(susan) | [
"p4",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1950948866362902147544940
% SZS output start Proof for 1950948866362902147544940
5. ! [X0] : ((~old(X0) <~> ~funny(X0)) => (~patient(X0) & kind(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~generous(X0))) [input p5]
10. (funny(susan) & ~humble(susan)) <=> ? [X0] : (generous(X... | 0 |
If fred is either not curious or curious then someone is both old and calm and vice versa.
Everyone who is either not rich or strong is patient.
If mary is either brave or happy then mary is either not wise or not patient.
Everyone who is not curious is funny and vice versa.
Everyone who is quiet is either funny or old... | Mary is kind. | entailment | (((~curious(fred)<~>curious(fred)))<=>(?[X]:((old(X)&calm(X)))))&
(![X]:((~rich(X)<~>strong(X))=>patient(X)))&
(((brave(mary)<~>happy(mary)))=>((~wise(mary)<~>~patient(mary))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((... | kind(mary) | [
"p3",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6708890557578993415757162
% SZS output start Proof for 6708890557578993415757162
4. ! [X0] : (~curious(X0) <=> funny(X0)) [input p3]
5. ! [X0] : (quiet(X0) <=> (funny(X0) <~> old(X0))) [input p4]
11. ! [X0] : ((kind(X0) & ~brave(X0)) <=> (kind(X0) <~> quiet(X0))) [input p10]
14. ! [X0] : ... | 0 |
If someone is both tall and not quiet then someone is tall or old and vice versa.
Everyone who is both happy and not funny is tall or not strong and vice versa.
Everyone who is either not tall or not wise is either kind or not creative and vice versa.
If fred is both not funny and tall then lucy is either wise or not s... | Paul is not tall. | contradiction | ((?[X]:((tall(X)&~quiet(X))))<=>(?[X]:((tall(X)|old(X)))))&
(![X]:((happy(X)&~funny(X))<=>(tall(X)|~strong(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(kind(X)<~>~creative(X))))&
(((~funny(fred)&tall(fred)))=>((wise(lucy)<~>~strong(lucy))))&
((curious(fred))=>(?[X]:(quiet(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(happy(X)|~gene... | ~tall(paul) | [
"p1",
"p5",
"p9",
"p10",
"p13",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2424920874154525529367169
% SZS output start Proof for 2424920874154525529367169
2. ! [X0] : ((~funny(X0) & happy(X0)) <=> (~strong(X0) | tall(X0))) [input p1]
6. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> (~generous(X0) | happy(X0))) [input p5]
10. ! [X0] : ((generous(X0) & ~brave(X0)) <=> ... | 0 |
Everyone who is either not wise or kind is both creative and kind and vice versa.
Everyone who is both not curious and old is either not creative or creative and vice versa.
Everyone who is wise is either kind or not rich.
If someone is either not strong or old then paul is either not old or not wise.
If alice is both ... | Fred is calm. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&kind(X))))&
(![X]:((~curious(X)&old(X))<=>(~creative(X)<~>creative(X))))&
(![X]:(wise(X)=>(kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~old(paul)<~>~wise(paul))))&
(((~rich(alice)&tall(alice)))=>(?[X]:(~humble(X))))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patien... | calm(fred) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5725568250133914600331992
% SZS output start Proof for 5725568250133914600331992
6. ! [X0] : (brave(X0) <=> patient(X0)) [input p5]
7. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p6]
8. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p7]
21. ~calm(... | 0 |
Everyone who is quiet is tall or not creative. If paul is kind or not happy then alice is either not happy or not rich and vice versa. Everyone who is either not quiet or not calm is funny or not generous and vice versa. Everyone who is either rich or humble is both not tall and happy and vice versa. Everyone who is ei... | Lucy is not kind. | neutral | (![X]:(quiet(X)=>(tall(X)|~creative(X))))&
(((kind(paul)|~happy(paul)))<=>((~happy(alice)<~>~rich(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(funny(X)|~generous(X))))&
(![X]:((rich(X)<~>humble(X))<=>(~tall(X)&happy(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((quiet(X)|~funny(X))<=>ca... | ~kind(lucy) | [] | null | 0 |
If alice is either not brave or not patient then alice is not strong or creative and vice versa. If someone is both not quiet and not generous then someone is both kind and not kind. If someone is either not old or kind then someone is either not happy or happy and vice versa. If paul is both old and not old then someo... | Alice is strong. | contradiction | (((~brave(alice)<~>~patient(alice)))<=>((~strong(alice)|creative(alice))))&
((?[X]:((~quiet(X)&~generous(X))))=>(?[X]:((kind(X)&~kind(X)))))&
((?[X]:((~old(X)<~>kind(X))))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(paul)&~old(paul)))=>(?[X]:((~humble(X)&kind(X)))))&
(((~rich(alice)<~>kind(alice)))<=>(?[X]:(rich(X))))&
... | strong(alice) | [
"p4",
"p5",
"p7",
"p10",
"p13",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7801900806822210915451764
% SZS output start Proof for 7801900806822210915451764
5. (~rich(alice) <~> kind(alice)) <=> ? [X0] : rich(X0) [input p4]
6. ! [X0] : ((brave(X0) & ~wise(X0)) <=> ~kind(X0)) [input p5]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p7]
11. ? [X0] :... | 0 |
If paul is not generous or funny then paul is either not brave or brave and vice versa.
Everyone who is both not wise and not strong is both not happy and not generous and vice versa.
Everyone who is not creative or calm is both not kind and creative.
Everyone who is either not kind or not happy is either not generous ... | Fred is not funny. | entailment | (((~generous(paul)|funny(paul)))<=>((~brave(paul)<~>brave(paul))))&
(![X]:((~wise(X)&~strong(X))<=>(~happy(X)&~generous(X))))&
(![X]:((~creative(X)|calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~kind(X)<~>~happy(X))=>(~generous(X)<~>~brave(X))))&
((calm(paul))<=>((wise(fred)|~wise(fred))))&
(![X]:(~funny(X)<=>(wise(X)|~c... | ~funny(fred) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1021931198530638956220970
% SZS output start Proof for 1021931198530638956220970
2. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (~generous(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~creative(X0)) => (creative(X0) & ~kind(X0))) [input p2]
4. ! [X0] : ((~kind(X0) <~> ~happy(X0)) =>... | 0 |
If paul is either rich or not rich then someone is strong.
If someone is old or not kind then alice is not creative or old.
If john is not tall then alice is either calm or not generous and vice versa.
If someone is tall or old then paul is not brave and vice versa.
Everyone who is quiet or not quiet is both funny and ... | Susan is not tall. | contradiction | (((rich(paul)<~>~rich(paul)))=>(?[X]:(strong(X))))&
((?[X]:((old(X)|~kind(X))))=>((~creative(alice)|old(alice))))&
((~tall(john))<=>((calm(alice)<~>~generous(alice))))&
((?[X]:((tall(X)|old(X))))<=>(~brave(paul)))&
(![X]:((quiet(X)|~quiet(X))<=>(funny(X)&quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&~patient(X))))&
(![X]:(... | ~tall(susan) | [
"p4",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4204370093762741501432627
% SZS output start Proof for 4204370093762741501432627
5. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (quiet(X0) & funny(X0))) [input p4]
14. ? [X0] : (funny(X0) & tall(X0)) => (tall(susan) | ~quiet(susan)) [input p13]
16. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~fun... | 0 |
If alice is not rich then someone is both not old and old. If someone is not wise then mary is either not brave or curious and vice versa. Everyone who is either brave or not brave is not patient and vice versa. If someone is either creative or not wise then john is wise or not happy and vice versa. Everyone who is qui... | Mary is patient. | contradiction | ((~rich(alice))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:(~wise(X)))<=>((~brave(mary)<~>curious(mary))))&
(![X]:((brave(X)<~>~brave(X))<=>~patient(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=>((wise(john)|~happy(john))))&
(![X]:((quiet(X)|tall(X))<=>(~quiet(X)&happy(X))))&
(![X]:(generous(X)=>(tall(X)<~>~humble(X))))&
((?[X]:... | patient(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3844731128968063784712733
% SZS output start Proof for 3844731128968063784712733
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) <=> ~patient(X0)) [input p2]
23. patient(mary) [input hypothesis]
35. ! [X0] : ((((brave(X0) | ~brave(X0)) & (~brave(X0) | brave(X0))) | patient(X0)) & (~patient(X0) | ... | 0 |
Everyone who is either not patient or not happy is patient or not quiet.
Everyone who is not tall is patient or tall.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is ... | John is not creative. | entailment | (![X]:((~patient(X)<~>~happy(X))=>(patient(X)|~quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|tall(X))))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creativ... | ~creative(john) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p12",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 489642557754389881339512
% SZS output start Proof for 489642557754389881339512
2. ! [X0] : (~tall(X0) => (tall(X0) | patient(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> (wise(X0) | humble(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> (~brave(X0) <~> ~cre... | 0 |
Everyone who is both not happy and not creative is not tall or funny. Everyone who is both not generous and not rich is not strong and vice versa. Everyone who is brave is both humble and not curious. If alice is either not quiet or quiet then lucy is either not creative or humble. If someone is brave then someone is e... | Mary is rich. | entailment | (![X]:((~happy(X)&~creative(X))=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&~rich(X))<=>~strong(X)))&
(![X]:(brave(X)=>(humble(X)&~curious(X))))&
(((~quiet(alice)<~>quiet(alice)))=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X... | rich(mary) | [
"p1",
"p2",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4888071003543266728990727
% SZS output start Proof for 4888071003543266728990727
2. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> ~strong(X0)) [input p1]
3. ! [X0] : (brave(X0) => (~curious(X0) & humble(X0))) [input p2]
7. ! [X0] : ((~strong(X0) | ~brave(X0)) => (~brave(X0) & kind(X0))) [inpu... | 0 |
If mary is quiet then alice is funny or not calm.
If susan is either not happy or not generous then lucy is either creative or quiet.
Everyone who is funny is both not happy and not old.
If susan is tall or happy then susan is not quiet and vice versa.
Everyone who is both not curious and not kind is both quiet and str... | Lucy is funny. | contradiction | ((quiet(mary))=>((funny(alice)|~calm(alice))))&
(((~happy(susan)<~>~generous(susan)))=>((creative(lucy)<~>quiet(lucy))))&
(![X]:(funny(X)=>(~happy(X)&~old(X))))&
(((tall(susan)|happy(susan)))<=>(~quiet(susan)))&
(![X]:((~curious(X)&~kind(X))=>(quiet(X)&strong(X))))&
(![X]:((funny(X)<~>happy(X))<=>(funny(X)<~>patient(X)... | funny(lucy) | [
"p2",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1638895922476562692852658
% SZS output start Proof for 1638895922476562692852658
3. ! [X0] : (funny(X0) => (~old(X0) & ~happy(X0))) [input p2]
6. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (funny(X0) <~> patient(X0))) [input p5]
16. ! [X0] : (~curious(X0) => (patient(X0) & ~wise(X0))) [input... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If john is not brave then john is not kind or happy and vice versa.
Everyone who is kind or not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative... | Susan is happy. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
((~brave(john))<=>((~kind(john)|happy(john))))&
(![X]:((kind(X)|~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~f... | happy(susan) | [] | null | 0 |
Everyone who is not strong is curious or not funny and vice versa.
If lucy is both quiet and strong then someone is either funny or creative and vice versa.
Everyone who is either not old or not humble is either brave or not curious.
If alice is calm or not curious then someone is not kind or patient.
If john is funny ... | Alice is creative. | entailment | (![X]:(~strong(X)<=>(curious(X)|~funny(X))))&
(((quiet(lucy)&strong(lucy)))<=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((~old(X)<~>~humble(X))=>(brave(X)<~>~curious(X))))&
(((calm(alice)|~curious(alice)))=>(?[X]:((~kind(X)|patient(X)))))&
((funny(john))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~patient(X)&~humble(X))<=... | creative(alice) | [
"p0",
"p1",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5826116177682622317812212
% SZS output start Proof for 5826116177682622317812212
1. ! [X0] : (~strong(X0) <=> (~funny(X0) | curious(X0))) [input p0]
2. (strong(lucy) & quiet(lucy)) <=> ? [X0] : (funny(X0) <~> creative(X0)) [input p1]
10. ! [X0] : ((~strong(X0) | tall(X0)) <=> (curious(X0)... | 0 |
If someone is not wise or quiet then paul is either funny or creative.
Everyone who is not strong is humble.
If alice is humble or happy then someone is both humble and not old.
Everyone who is both not wise and not humble is either rich or strong.
Everyone who is both not happy and wise is both not strong and old and ... | Alice is not creative. | neutral | ((?[X]:((~wise(X)|quiet(X))))=>((funny(paul)<~>creative(paul))))&
(![X]:(~strong(X)=>humble(X)))&
(((humble(alice)|happy(alice)))=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((~wise(X)&~humble(X))=>(rich(X)<~>strong(X))))&
(![X]:((~happy(X)&wise(X))<=>(~strong(X)&old(X))))&
(((~wise(alice)<~>patient(alice)))<=>(funny(alice))... | ~creative(alice) | [] | null | 0 |
Everyone who is not old or happy is kind or creative.
Everyone who is either not humble or humble is both not brave and creative.
If someone is not strong or not tall then someone is creative.
Everyone who is either old or not generous is either not strong or quiet.
If someone is both not old and tall then someone is e... | Mary is calm. | neutral | (![X]:((~old(X)|happy(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)<~>humble(X))=>(~brave(X)&creative(X))))&
((?[X]:((~strong(X)|~tall(X))))=>(?[X]:(creative(X))))&
(![X]:((old(X)<~>~generous(X))=>(~strong(X)<~>quiet(X))))&
((?[X]:((~old(X)&tall(X))))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:((old(X)&humble(X))<=>b... | calm(mary) | [] | null | 0 |
If someone is quiet then someone is not generous or not rich and vice versa.
Everyone who is either not curious or not creative is both not old and calm.
Everyone who is not brave or creative is either creative or not old.
If someone is both not happy and not funny then alice is both not strong and brave.
Everyone who ... | Susan is humble. | neutral | ((?[X]:(quiet(X)))<=>(?[X]:((~generous(X)|~rich(X)))))&
(![X]:((~curious(X)<~>~creative(X))=>(~old(X)&calm(X))))&
(![X]:((~brave(X)|creative(X))=>(creative(X)<~>~old(X))))&
((?[X]:((~happy(X)&~funny(X))))=>((~strong(alice)&brave(alice))))&
(![X]:((old(X)|kind(X))<=>quiet(X)))&
((~creative(susan))=>((curious(john)&funny... | humble(susan) | [] | null | 0 |
If lucy is either happy or generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall and not brave then someone is either not humble or not calm and vice versa.... | Alice is kind. | contradiction | (((happy(lucy)<~>generous(lucy)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(funny(john)))&
((quiet(alice))<=... | kind(alice) | [
"p2",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5157173819245646875265707
% SZS output start Proof for 5157173819245646875265707
3. ? [X0] : (~kind(X0) <~> ~strong(X0)) => ? [X0] : ~creative(X0) [input p2]
7. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~brave(X0) | humble(X0))) [input p6]
8. ! [X0] : ((creative(X0) | calm(X0)) <=> (~bra... | 0 |
If mary is brave then someone is not happy or not calm and vice versa.
Everyone who is not creative or not wise is both not old and happy and vice versa.
Everyone who is either not strong or generous is not patient.
If someone is patient or calm then someone is old.
Everyone who is calm or strong is kind and vice versa... | Mary is not brave. | contradiction | ((brave(mary))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((~creative(X)|~wise(X))<=>(~old(X)&happy(X))))&
(![X]:((~strong(X)<~>generous(X))=>~patient(X)))&
((?[X]:((patient(X)|calm(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)|strong(X))<=>kind(X)))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(((kind... | ~brave(mary) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6773767621401445565913984
% SZS output start Proof for 6773767621401445565913984
1. brave(mary) <=> ? [X0] : (~calm(X0) | ~happy(X0)) [input p0]
17. ~calm(fred) [input p16]
25. ~brave(mary) [input hypothesis]
37. (brave(mary) | ! [X0] : (calm(X0) & happy(X0))) & (? [X0] : (~calm(X0) | ~ha... | 0 |
Everyone who is generous or not funny is not happy and vice versa.
Everyone who is wise or humble is both not strong and not old and vice versa.
Everyone who is either not wise or wise is both funny and generous.
If susan is both patient and not wise then susan is both not quiet and not creative.
If mary is not tall th... | Alice is happy. | contradiction | (![X]:((generous(X)|~funny(X))<=>~happy(X)))&
(![X]:((wise(X)|humble(X))<=>(~strong(X)&~old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&generous(X))))&
(((patient(susan)&~wise(susan)))=>((~quiet(susan)&~creative(susan))))&
((~tall(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~old(X)<~>~kind(X))=>(kind(X)<~>gener... | happy(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7626068696762842214778486
% SZS output start Proof for 7626068696762842214778486
1. ! [X0] : ((~funny(X0) | generous(X0)) <=> ~happy(X0)) [input p0]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (generous(X0) & funny(X0))) [input p2]
24. happy(alice) [input hypothesis]
26. ! [X0] : ((generous(... | 0 |
If john is either quiet or not quiet then john is either not kind or humble and vice versa. If someone is not brave then someone is either not patient or funny. Everyone who is not patient is not kind. Everyone who is both patient and calm is either not happy or old. Everyone who is both old and brave is either not hum... | John is not funny. | neutral | (((quiet(john)<~>~quiet(john)))<=>((~kind(john)<~>humble(john))))&
((?[X]:(~brave(X)))=>(?[X]:((~patient(X)<~>funny(X)))))&
(![X]:(~patient(X)=>~kind(X)))&
(![X]:((patient(X)&calm(X))=>(~happy(X)<~>old(X))))&
(![X]:((old(X)&brave(X))=>(~humble(X)<~>curious(X))))&
((kind(fred))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]... | ~funny(john) | [] | null | 0 |
Everyone who is tall is patient or funny. If someone is humble or patient then susan is both not creative and not calm. Everyone who is not brave is calm or curious and vice versa. Everyone who is calm or rich is either not tall or not calm. Everyone who is quiet or not curious is not humble or not brave. Everyone who ... | Lucy is rich. | neutral | (![X]:(tall(X)=>(patient(X)|funny(X))))&
((?[X]:((humble(X)|patient(X))))=>((~creative(susan)&~calm(susan))))&
(![X]:(~brave(X)<=>(calm(X)|curious(X))))&
(![X]:((calm(X)|rich(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((quiet(X)|~curious(X))=>(~humble(X)|~brave(X))))&
(![X]:((kind(X)&strong(X))<=>strong(X)))&
((?[X]:((creativ... | rich(lucy) | [] | null | 0 |
If lucy is humble then mary is not curious or not generous and vice versa.
If someone is not rich then paul is both quiet and not humble and vice versa.
If someone is quiet then someone is old and vice versa.
Everyone who is either old or strong is not creative and vice versa.
Everyone who is curious or not humble is n... | Mary is not calm. | neutral | ((humble(lucy))<=>((~curious(mary)|~generous(mary))))&
((?[X]:(~rich(X)))<=>((quiet(paul)&~humble(paul))))&
((?[X]:(quiet(X)))<=>(?[X]:(old(X))))&
(![X]:((old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((curious(X)|~humble(X))<=>(~strong(X)|quiet(X))))&
((creative(lucy))=>((~brave(fred)|calm(fred))))&
(((rich(susan)&calm(... | ~calm(mary) | [] | null | 0 |
If someone is strong then susan is not tall or strong. If john is not kind or not patient then alice is creative and vice versa. Everyone who is both happy and not brave is both not strong and generous and vice versa. If john is both strong and quiet then lucy is patient and vice versa. Everyone who is brave or not old... | Lucy is patient. | entailment | ((?[X]:(strong(X)))=>((~tall(susan)|strong(susan))))&
(((~kind(john)|~patient(john)))<=>(creative(alice)))&
(![X]:((happy(X)&~brave(X))<=>(~strong(X)&generous(X))))&
(((strong(john)&quiet(john)))<=>(patient(lucy)))&
(![X]:((brave(X)|~old(X))<=>(kind(X)<~>brave(X))))&
(((rich(lucy)|~generous(lucy)))<=>(?[X]:(calm(X))))&... | patient(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9207634621994472742491461
% SZS output start Proof for 9207634621994472742491461
19. creative(lucy) & patient(lucy) [input p18]
25. ~patient(lucy) [input hypothesis]
127. patient(lucy) [cnf transformation 19]
135. ~patient(lucy) [cnf transformation 25]
167. 7 <=> patient(lucy) [avatar def... | 0 |
If susan is either old or not brave then susan is quiet and vice versa. Everyone who is either not old or not quiet is not kind. Everyone who is both kind and old is both not strong and brave. If alice is both funny and not funny then mary is both not wise and not calm. Everyone who is both not calm and not brave is ki... | John is wise. | entailment | (((old(susan)<~>~brave(susan)))<=>(quiet(susan)))&
(![X]:((~old(X)<~>~quiet(X))=>~kind(X)))&
(![X]:((kind(X)&old(X))=>(~strong(X)&brave(X))))&
(((funny(alice)&~funny(alice)))=>((~wise(mary)&~calm(mary))))&
(![X]:((~calm(X)&~brave(X))<=>kind(X)))&
(((~old(fred)|~quiet(fred)))<=>((~calm(lucy)<~>brave(lucy))))&
((?[X]:((c... | wise(john) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4504797672446879880464217
% SZS output start Proof for 4504797672446879880464217
5. ! [X0] : ((~brave(X0) & ~calm(X0)) <=> kind(X0)) [input p4]
12. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> (calm(X0) & wise(X0))) [input p11]
14. ! [X0] : ((~calm(X0) | ~creative(X0)) <=> (creative(X0) & ~kind(... | 0 |
If paul is either creative or old then fred is either generous or not strong.
If paul is both tall and happy then fred is humble.
Everyone who is either calm or not happy is creative and vice versa.
Everyone who is patient or rich is either humble or not generous.
Everyone who is not quiet or strong is not brave.
If so... | Mary is not creative. | entailment | (((creative(paul)<~>old(paul)))=>((generous(fred)<~>~strong(fred))))&
(((tall(paul)&happy(paul)))=>(humble(fred)))&
(![X]:((calm(X)<~>~happy(X))<=>creative(X)))&
(![X]:((patient(X)|rich(X))=>(humble(X)<~>~generous(X))))&
(![X]:((~quiet(X)|strong(X))=>~brave(X)))&
((?[X]:((old(X)|brave(X))))<=>(?[X]:((~generous(X)&~calm... | ~creative(mary) | [
"p2",
"p6",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6494993100654668549453686
% SZS output start Proof for 6494993100654668549453686
3. ! [X0] : ((calm(X0) <~> ~happy(X0)) <=> creative(X0)) [input p2]
7. ! [X0] : (~happy(X0) <=> (~wise(X0) | creative(X0))) [input p6]
14. ! [X0] : ((calm(X0) | humble(X0)) <=> (rich(X0) <~> happy(X0))) [inpu... | 0 |
Everyone who is generous is not rich.
If someone is either not creative or calm then someone is both rich and wise.
If fred is either tall or not humble then someone is both not funny and not creative.
If someone is curious then mary is not generous and vice versa.
Everyone who is not quiet is not tall or brave and vic... | Paul is patient. | contradiction | (![X]:(generous(X)=>~rich(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((rich(X)&wise(X)))))&
(((tall(fred)<~>~humble(fred)))=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:(curious(X)))<=>(~generous(mary)))&
(![X]:(~quiet(X)<=>(~tall(X)|brave(X))))&
(![X]:(~strong(X)=>(~kind(X)<~>old(X))))&
(![X]:((~strong(X)<~>~creat... | patient(paul) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4195504133451978775143357
% SZS output start Proof for 4195504133451978775143357
14. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> ~curious(X0)) [input p13]
19. ~curious(paul) [input p18]
23. patient(paul) [input hypothesis]
57. ! [X0] : (((~patient(X0) & ~funny(X0)) | curious(X0)) & (~curiou... | 0 |
Everyone who is both not kind and not wise is strong.
Everyone who is not calm or rich is both not tall and not rich and vice versa.
Everyone who is either old or funny is both brave and not quiet.
If mary is either creative or patient then someone is both rich and funny and vice versa.
Everyone who is rich is either r... | John is funny. | contradiction | (![X]:((~kind(X)&~wise(X))=>strong(X)))&
(![X]:((~calm(X)|rich(X))<=>(~tall(X)&~rich(X))))&
(![X]:((old(X)<~>funny(X))=>(brave(X)&~quiet(X))))&
(((creative(mary)<~>patient(mary)))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:(rich(X)<=>(rich(X)<~>patient(X))))&
((?[X]:((tall(X)|~humble(X))))=>((~rich(paul)<~>rich(paul))))&
(!... | funny(john) | [
"p1",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8945793731668323663141119
% SZS output start Proof for 8945793731668323663141119
2. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : (rich(X0) <=> (rich(X0) <~> patient(X0))) [input p4]
7. ! [X0] : (~calm(X0) => (~funny(X0) | patient(X0))) [input p6]
15... | 0 |
Everyone who is both old and brave is not happy.
Everyone who is humble is either strong or not humble and vice versa.
If someone is not wise then fred is strong or not quiet and vice versa.
Everyone who is not generous is both humble and not humble and vice versa.
Everyone who is both brave and not humble is either no... | John is tall. | neutral | (![X]:((old(X)&brave(X))=>~happy(X)))&
(![X]:(humble(X)<=>(strong(X)<~>~humble(X))))&
((?[X]:(~wise(X)))<=>((strong(fred)|~quiet(fred))))&
(![X]:(~generous(X)<=>(humble(X)&~humble(X))))&
(![X]:((brave(X)&~humble(X))<=>(~strong(X)<~>~old(X))))&
((~humble(paul))=>(?[X]:(humble(X))))&
(((wise(fred)&~calm(fred)))<=>((calm(... | tall(john) | [] | null | 0 |
Everyone who is wise is not funny or not generous.
Everyone who is either calm or funny is both funny and strong and vice versa.
If fred is either rich or kind then john is both quiet and calm.
If someone is not creative then someone is both generous and not brave and vice versa.
Everyone who is strong is both happy an... | Fred is not creative. | contradiction | (![X]:(wise(X)=>(~funny(X)|~generous(X))))&
(![X]:((calm(X)<~>funny(X))<=>(funny(X)&strong(X))))&
(((rich(fred)<~>kind(fred)))=>((quiet(john)&calm(john))))&
((?[X]:(~creative(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:(strong(X)=>(happy(X)&~curious(X))))&
(((happy(lucy)&generous(lucy)))<=>((kind(lucy)|~wise(lucy))... | ~creative(fred) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8187579967621158011789533
% SZS output start Proof for 8187579967621158011789533
4. ? [X0] : ~creative(X0) <=> ? [X0] : (~brave(X0) & generous(X0)) [input p3]
15. ! [X0] : ((generous(X0) | calm(X0)) <=> (calm(X0) & brave(X0))) [input p14]
25. ~creative(fred) [input hypothesis]
26. ? [X0] ... | 0 |
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