premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is creative is both not tall and not old. If john is either not wise or not patient then someone is both kind and tall and vice versa. If someone is not quiet or not tall then someone is both strong and not tall. If susan is not quiet or rich then mary is not kind or generous and vice versa. If john is eit... | Alice is not creative. | neutral | (![X]:(creative(X)=>(~tall(X)&~old(X))))&
(((~wise(john)<~>~patient(john)))<=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((~quiet(X)|~tall(X))))=>(?[X]:((strong(X)&~tall(X)))))&
(((~quiet(susan)|rich(susan)))<=>((~kind(mary)|generous(mary))))&
(((old(john)<~>calm(john)))<=>((~tall(paul)&~creative(paul))))&
(![X]:((~generous(X... | ~creative(alice) | [] | null | 0 |
Everyone who is not happy or old is either not calm or not wise and vice versa.
Everyone who is both not patient and not funny is not curious.
Everyone who is both not generous and not quiet is rich and vice versa.
If someone is not creative then someone is both not old and not tall and vice versa.
Everyone who is humb... | Lucy is not rich. | contradiction | (![X]:((~happy(X)|old(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((~patient(X)&~funny(X))=>~curious(X)))&
(![X]:((~generous(X)&~quiet(X))<=>rich(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:(humble(X)<=>brave(X)))&
(![X]:((old(X)&~curious(X))<=>(brave(X)&wise(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(c... | ~rich(lucy) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5537558853703371359553540
% SZS output start Proof for 5537558853703371359553540
8. ! [X0] : (~wise(X0) <=> (wise(X0) & curious(X0))) [input p7]
21. ~rich(lucy) <~> wise(lucy) [input p20]
22. ~rich(lucy) [input hypothesis]
46. ! [X0] : ((~wise(X0) | (~wise(X0) | ~curious(X0))) & ((wise(X0... | 0 |
Everyone who is both happy and kind is either not calm or funny and vice versa.
Everyone who is not old is not generous or quiet and vice versa.
If someone is happy or creative then john is both rich and creative and vice versa.
Everyone who is both not patient and not strong is both not creative and strong.
If paul is... | John is strong. | neutral | (![X]:((happy(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((happy(X)|creative(X))))<=>((rich(john)&creative(john))))&
(![X]:((~patient(X)&~strong(X))=>(~creative(X)&strong(X))))&
(((~funny(paul)<~>~creative(paul)))=>((humble(lucy)<~>kind(lucy))))&
(((wise(alice)<~>~funny(al... | strong(john) | [] | null | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa.
If fred is both not rich and not patient then susan is either not brave or not patient.
If someone is both old and funny then someone is both rich and kind and vice versa.
If someone is creative then someone is not tall or not b... | Fred is wise. | neutral | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((~rich(fred)&~patient(fred)))=>((~brave(susan)<~>~patient(susan))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~old(X)<~>patient(X))<=>kind(X)))&
((?[X]:((~patient(X)<~>~quiet(X)... | wise(fred) | [] | null | 0 |
Everyone who is either tall or humble is both not rich and not kind.
Everyone who is either quiet or wise is both not brave and not tall and vice versa.
If someone is either tall or not tall then fred is both not old and not brave.
If mary is both not creative and tall then someone is not strong.
Everyone who is both k... | Fred is strong. | entailment | (![X]:((tall(X)<~>humble(X))=>(~rich(X)&~kind(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>((~old(fred)&~brave(fred))))&
(((~creative(mary)&tall(mary)))=>(?[X]:(~strong(X))))&
(![X]:((kind(X)&~calm(X))<=>(~brave(X)|patient(X))))&
(![X]:((~rich(X)<~>~tall(X))<=>(strong(X)|... | strong(fred) | [
"p1",
"p2",
"p4",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2135375475298927273472145
% SZS output start Proof for 2135375475298927273472145
2. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> (~tall(X0) & ~brave(X0))) [input p1]
3. ? [X0] : (tall(X0) <~> ~tall(X0)) => (~brave(fred) & ~old(fred)) [input p2]
5. ! [X0] : ((~calm(X0) & kind(X0)) <=> (patient(X... | 0 |
If someone is not kind or not creative then lucy is not rich and vice versa.
If fred is happy then someone is both not curious and kind and vice versa.
Everyone who is both not rich and not wise is not rich or humble and vice versa.
If paul is not curious then john is both wise and rich and vice versa.
If someone is no... | Alice is patient. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~rich(lucy)))&
((happy(fred))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(~rich(X)|humble(X))))&
((~curious(paul))<=>((wise(john)&rich(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)|generous(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative... | patient(alice) | [
"p0",
"p2",
"p4",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 965783223204460191838366
% SZS output start Proof for 965783223204460191838366
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~rich(lucy) [input p0]
3. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (humble(X0) | ~rich(X0))) [input p2]
5. ? [X0] : ~patient(X0) <=> ? [X0] : ~quiet(X0) [input p4]
6. ! ... | 0 |
Everyone who is not generous is not rich or calm and vice versa.
If someone is not calm or wise then someone is not creative or not strong.
If susan is not calm or calm then lucy is either not curious or wise and vice versa.
If mary is kind then someone is either strong or not generous and vice versa.
If someone is not... | Susan is happy. | contradiction | (![X]:(~generous(X)<=>(~rich(X)|calm(X))))&
((?[X]:((~calm(X)|wise(X))))=>(?[X]:((~creative(X)|~strong(X)))))&
(((~calm(susan)|calm(susan)))<=>((~curious(lucy)<~>wise(lucy))))&
((kind(mary))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:(~funny(X)))=>(?[X]:((kind(X)|~kind(X)))))&
(![X]:(kind(X)=>~kind(X)))&
(![X]:((cr... | happy(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7084935583650183097379891
% SZS output start Proof for 7084935583650183097379891
11. ! [X0] : ((humble(X0) & ~happy(X0)) <=> (rich(X0) | happy(X0))) [input p10]
24. happy(susan) [input hypothesis]
61. ! [X0] : (((humble(X0) & ~happy(X0)) | (~rich(X0) & ~happy(X0))) & ((rich(X0) | happy(X0... | 0 |
If someone is brave then alice is both not quiet and not calm.
Everyone who is rich or not curious is both not kind and rich.
Everyone who is patient or curious is either patient or creative and vice versa.
Everyone who is either not creative or not calm is both kind and quiet.
If mary is both kind and not quiet then s... | Lucy is rich. | entailment | ((?[X]:(brave(X)))=>((~quiet(alice)&~calm(alice))))&
(![X]:((rich(X)|~curious(X))=>(~kind(X)&rich(X))))&
(![X]:((patient(X)|curious(X))<=>(patient(X)<~>creative(X))))&
(![X]:((~creative(X)<~>~calm(X))=>(kind(X)&quiet(X))))&
(((kind(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~calm(X)))))&
((creative(paul))=>((generous(lu... | rich(lucy) | [
"p1",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6279834601422341397152253
% SZS output start Proof for 6279834601422341397152253
2. ! [X0] : ((~curious(X0) | rich(X0)) => (rich(X0) & ~kind(X0))) [input p1]
13. ! [X0] : ((old(X0) | calm(X0)) => (~rich(X0) & ~old(X0))) [input p12]
15. ! [X0] : ((curious(X0) & ~old(X0)) => ~curious(X0)) [... | 0 |
If alice is not calm then someone is both wise and not happy and vice versa. If someone is curious then paul is either not quiet or wise and vice versa. Everyone who is either curious or not tall is not creative or rich and vice versa. If mary is either creative or not humble then lucy is not kind and vice versa. If so... | Mary is humble. | entailment | ((~calm(alice))<=>(?[X]:((wise(X)&~happy(X)))))&
((?[X]:(curious(X)))<=>((~quiet(paul)<~>wise(paul))))&
(![X]:((curious(X)<~>~tall(X))<=>(~creative(X)|rich(X))))&
(((creative(mary)<~>~humble(mary)))<=>(~kind(lucy)))&
((?[X]:((~patient(X)|generous(X))))=>(~wise(lucy)))&
(((~happy(lucy)|~old(lucy)))<=>(?[X]:((~tall(X)|ki... | humble(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1812089822040395277862646
% SZS output start Proof for 1812089822040395277862646
23. wise(mary) & humble(mary) [input p22]
25. ~humble(mary) [input hypothesis]
142. humble(mary) [cnf transformation 23]
146. ~humble(mary) [cnf transformation 25]
194. 11 <=> humble(mary) [avatar definition]... | 0 |
Everyone who is both rich and not happy is not old or calm and vice versa.
Everyone who is happy or not humble is happy and vice versa.
Everyone who is both not brave and humble is both kind and not wise and vice versa.
Everyone who is both tall and old is humble or not strong and vice versa.
If fred is not calm then s... | Fred is not brave. | contradiction | (![X]:((rich(X)&~happy(X))<=>(~old(X)|calm(X))))&
(![X]:((happy(X)|~humble(X))<=>happy(X)))&
(![X]:((~brave(X)&humble(X))<=>(kind(X)&~wise(X))))&
(![X]:((tall(X)&old(X))<=>(humble(X)|~strong(X))))&
((~calm(fred))<=>(?[X]:((generous(X)<~>calm(X)))))&
(![X]:((kind(X)|old(X))=>quiet(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~s... | ~brave(fred) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 68589632849644784811011
% SZS output start Proof for 68589632849644784811011
1. ! [X0] : ((~happy(X0) & rich(X0)) <=> (calm(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | happy(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~brave(X0)) <=> (~wise(X0) & kind(X0))) [inpu... | 0 |
Everyone who is either strong or not curious is either creative or not kind.
If john is patient or curious then someone is not happy or strong and vice versa.
Everyone who is not rich or calm is both creative and not tall and vice versa.
Everyone who is either calm or tall is not old or funny and vice versa.
Everyone w... | John is creative. | entailment | (![X]:((strong(X)<~>~curious(X))=>(creative(X)<~>~kind(X))))&
(((patient(john)|curious(john)))<=>(?[X]:((~happy(X)|strong(X)))))&
(![X]:((~rich(X)|calm(X))<=>(creative(X)&~tall(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~old(X)|funny(X))))&
(![X]:((~brave(X)<~>~rich(X))<=>(~quiet(X)&patient(X))))&
((~creative(john))<=>(~pati... | creative(john) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1025900970073341026525277
% SZS output start Proof for 1025900970073341026525277
13. ? [X0] : ~creative(X0) <=> rich(mary) [input p12]
22. happy(mary) & ~rich(mary) [input p21]
25. ~creative(john) [input hypothesis]
54. (? [X0] : ~creative(X0) | ~rich(mary)) & (rich(mary) | ! [X0] : creat... | 0 |
Everyone who is quiet is either not creative or funny. Everyone who is not calm is not brave. Everyone who is both not kind and humble is either not generous or not tall and vice versa. If someone is either not old or quiet then mary is both old and not tall and vice versa. Everyone who is both funny and not happy is n... | Susan is brave. | contradiction | (![X]:(quiet(X)=>(~creative(X)<~>funny(X))))&
(![X]:(~calm(X)=>~brave(X)))&
(![X]:((~kind(X)&humble(X))<=>(~generous(X)<~>~tall(X))))&
((?[X]:((~old(X)<~>quiet(X))))<=>((old(mary)&~tall(mary))))&
(![X]:((funny(X)&~happy(X))<=>(~funny(X)|~tall(X))))&
(![X]:((wise(X)|curious(X))<=>(funny(X)|~old(X))))&
(![X]:(~rich(X)<=>... | brave(susan) | [
"p1",
"p4",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7294942821686949895819719
% SZS output start Proof for 7294942821686949895819719
2. ! [X0] : (~calm(X0) => ~brave(X0)) [input p1]
5. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p4]
12. tall(susan) <=> (funny(alice) | happy(alice)) [input p11]
13. ! [X0] : ((~ta... | 0 |
If paul is not quiet or brave then lucy is not creative or not tall and vice versa.
If lucy is both curious and not curious then paul is calm or curious and vice versa.
If mary is curious or rich then someone is either not creative or calm.
Everyone who is kind or not calm is either not happy or calm.
If someone is not... | Paul is creative. | neutral | (((~quiet(paul)|brave(paul)))<=>((~creative(lucy)|~tall(lucy))))&
(((curious(lucy)&~curious(lucy)))<=>((calm(paul)|curious(paul))))&
(((curious(mary)|rich(mary)))=>(?[X]:((~creative(X)<~>calm(X)))))&
(![X]:((kind(X)|~calm(X))=>(~happy(X)<~>calm(X))))&
((?[X]:((~kind(X)|~generous(X))))=>(?[X]:((curious(X)<~>~humble(X)))... | creative(paul) | [] | null | 0 |
Everyone who is both not humble and wise is funny and vice versa.
If someone is not happy then john is not curious.
Everyone who is curious is both not generous and creative.
If someone is both rich and tall then alice is creative or not old and vice versa.
Everyone who is old or calm is creative or curious and vice ve... | Mary is strong. | neutral | (![X]:((~humble(X)&wise(X))<=>funny(X)))&
((?[X]:(~happy(X)))=>(~curious(john)))&
(![X]:(curious(X)=>(~generous(X)&creative(X))))&
((?[X]:((rich(X)&tall(X))))<=>((creative(alice)|~old(alice))))&
(![X]:((old(X)|calm(X))<=>(creative(X)|curious(X))))&
(((strong(fred)<~>~strong(fred)))<=>(?[X]:((old(X)|wise(X)))))&
(((~old... | strong(mary) | [] | null | 0 |
Everyone who is both not calm and not rich is both not kind and not creative.
If someone is not curious then someone is either not strong or wise.
Everyone who is either not strong or not happy is not curious and vice versa.
Everyone who is wise is either generous or not happy.
If someone is not funny or not kind then ... | Fred is not tall. | contradiction | (![X]:((~calm(X)&~rich(X))=>(~kind(X)&~creative(X))))&
((?[X]:(~curious(X)))=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~strong(X)<~>~happy(X))<=>~curious(X)))&
(![X]:(wise(X)=>(generous(X)<~>~happy(X))))&
((?[X]:((~funny(X)|~kind(X))))=>(?[X]:(~tall(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(tall(X)&calm(X))))&
(((~rich(... | ~tall(fred) | [
"p7",
"p8",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6982460040598725012144990
% SZS output start Proof for 6982460040598725012144990
8. ! [X0] : ((~wise(X0) | ~tall(X0)) => (~kind(X0) & calm(X0))) [input p7]
9. ? [X0] : strong(X0) => (rich(fred) & ~funny(fred)) [input p8]
10. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (tall(X0) <~> ~rich(X0))) ... | 0 |
Everyone who is either generous or not patient is either not happy or not curious and vice versa. Everyone who is calm is not wise or not calm. If someone is both tall and generous then someone is both not creative and generous and vice versa. If mary is both not kind and not wise then john is not calm. Everyone who is... | Mary is not generous. | contradiction | (![X]:((generous(X)<~>~patient(X))<=>(~happy(X)<~>~curious(X))))&
(![X]:(calm(X)=>(~wise(X)|~calm(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(((~kind(mary)&~wise(mary)))=>(~calm(john)))&
(![X]:((~strong(X)<~>~tall(X))<=>~tall(X)))&
(![X]:((quiet(X)|~generous(X))<=>(patient(X)|~kind(X... | ~generous(mary) | [
"p4",
"p5",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8693573892899994888155570
% SZS output start Proof for 8693573892899994888155570
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~tall(X0)) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~kind(X0) | patient(X0))) [input p5]
11. ! [X0] : (~kind(X0) <=> happy(X0)) [input p10]
13. ! [... | 0 |
If someone is both patient and not patient then someone is calm or not patient.
If someone is patient or not wise then fred is both not creative and not curious.
If lucy is both wise and not strong then someone is tall or not funny.
Everyone who is wise is either kind or not kind and vice versa.
If paul is either patie... | Fred is not rich. | contradiction | ((?[X]:((patient(X)&~patient(X))))=>(?[X]:((calm(X)|~patient(X)))))&
((?[X]:((patient(X)|~wise(X))))=>((~creative(fred)&~curious(fred))))&
(((wise(lucy)&~strong(lucy)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(wise(X)<=>(kind(X)<~>~kind(X))))&
(((patient(paul)<~>generous(paul)))=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:((~... | ~rich(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3828247925635625162924803
% SZS output start Proof for 3828247925635625162924803
15. ! [X0] : ((~calm(X0) | calm(X0)) <=> (strong(X0) & rich(X0))) [input p14]
24. ~rich(fred) [input hypothesis]
65. ! [X0] : (((~calm(X0) | calm(X0)) | (~strong(X0) | ~rich(X0))) & ((strong(X0) & rich(X0)) |... | 0 |
Everyone who is both not rich and not quiet is both not kind and wise and vice versa.
Everyone who is not curious is both patient and kind and vice versa.
If someone is funny then someone is both not generous and funny and vice versa.
Everyone who is either not quiet or humble is either quiet or not happy.
Everyone who... | John is not strong. | neutral | (![X]:((~rich(X)&~quiet(X))<=>(~kind(X)&wise(X))))&
(![X]:(~curious(X)<=>(patient(X)&kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~generous(X)&funny(X)))))&
(![X]:((~quiet(X)<~>humble(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((calm(X)&~brave(X))=>(~curious(X)|~strong(X))))&
(((generous(paul)|~creative(paul)))=>((~generous(fred... | ~strong(john) | [] | null | 0 |
If someone is quiet then fred is funny and vice versa. If someone is either not happy or creative then mary is either quiet or old and vice versa. If john is old or curious then paul is either tall or old. If someone is not kind or not curious then fred is either kind or not funny and vice versa. If someone is not happ... | Mary is wise. | entailment | ((?[X]:(quiet(X)))<=>(funny(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((quiet(mary)<~>old(mary))))&
(((old(john)|curious(john)))=>((tall(paul)<~>old(paul))))&
((?[X]:((~kind(X)|~curious(X))))<=>((kind(fred)<~>~funny(fred))))&
((?[X]:(~happy(X)))<=>((~rich(lucy)|~humble(lucy))))&
((generous(mary))<=>(?[X]:((rich(X)... | wise(mary) | [
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 230663276928811459133278
% SZS output start Proof for 230663276928811459133278
9. ! [X0] : (~wise(X0) => (quiet(X0) & kind(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (happy(X0) | calm(X0))) [input p9]
13. ! [X0] : (~happy(X0) => (happy(X0) | ~patient(X0))) [input p12]
14... | 0 |
Everyone who is both not wise and not tall is either kind or curious and vice versa.
If susan is generous then someone is happy or creative.
Everyone who is either not funny or quiet is both creative and quiet and vice versa.
If someone is not curious then john is either brave or not calm and vice versa.
Everyone who i... | John is humble. | entailment | (![X]:((~wise(X)&~tall(X))<=>(kind(X)<~>curious(X))))&
((generous(susan))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~funny(X)<~>quiet(X))<=>(creative(X)&quiet(X))))&
((?[X]:(~curious(X)))<=>((brave(john)<~>~calm(john))))&
(![X]:((creative(X)<~>~strong(X))<=>(~strong(X)|~patient(X))))&
(((curious(alice)&~creative(alice... | humble(john) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"p13",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5997167136145390819829304
% SZS output start Proof for 5997167136145390819829304
5. ! [X0] : ((creative(X0) <~> ~strong(X0)) <=> (~patient(X0) | ~strong(X0))) [input p4]
6. (~creative(alice) & curious(alice)) <=> ? [X0] : (curious(X0) <~> ~generous(X0)) [input p5]
8. (quiet(alice) <~> str... | 0 |
Everyone who is either not calm or not patient is calm or not strong.
If someone is not rich then someone is quiet and vice versa.
Everyone who is both not kind and creative is wise.
Everyone who is either brave or generous is either generous or happy.
If paul is not old or not tall then someone is not brave.
Everyone ... | Paul is happy. | neutral | (![X]:((~calm(X)<~>~patient(X))=>(calm(X)|~strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(quiet(X))))&
(![X]:((~kind(X)&creative(X))=>wise(X)))&
(![X]:((brave(X)<~>generous(X))=>(generous(X)<~>happy(X))))&
(((~old(paul)|~tall(paul)))=>(?[X]:(~brave(X))))&
(![X]:((calm(X)|~curious(X))=>(generous(X)|~humble(X))))&
((?[X]:(hap... | happy(paul) | [] | null | 0 |
If fred is not happy or not generous then someone is both not humble and brave and vice versa.
Everyone who is either rich or not happy is both not patient and generous and vice versa.
Everyone who is either patient or funny is either not generous or rich and vice versa.
Everyone who is both not strong and not happy is... | Alice is funny. | contradiction | (((~happy(fred)|~generous(fred)))<=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)&generous(X))))&
(![X]:((patient(X)<~>funny(X))<=>(~generous(X)<~>rich(X))))&
(![X]:((~strong(X)&~happy(X))=>(~quiet(X)&tall(X))))&
(![X]:(rich(X)=>calm(X)))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((strong(... | funny(alice) | [
"p1",
"p2",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2155780628530514831355415
% SZS output start Proof for 2155780628530514831355415
2. ! [X0] : ((rich(X0) <~> ~happy(X0)) <=> (generous(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) <~> funny(X0)) <=> (~generous(X0) <~> rich(X0))) [input p2]
7. ! [X0] : ((kind(X0) <~> ~happy(X0)... | 0 |
If mary is happy or humble then someone is not rich and vice versa.
If paul is either humble or rich then paul is creative and vice versa.
Everyone who is happy is wise.
Everyone who is both not wise and kind is not calm or funny and vice versa.
If someone is old or not quiet then lucy is not brave and vice versa.
Ever... | Paul is strong. | contradiction | (((happy(mary)|humble(mary)))<=>(?[X]:(~rich(X))))&
(((humble(paul)<~>rich(paul)))<=>(creative(paul)))&
(![X]:(happy(X)=>wise(X)))&
(![X]:((~wise(X)&kind(X))<=>(~calm(X)|funny(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(~brave(lucy)))&
(![X]:((~kind(X)&~quiet(X))<=>(~brave(X)&~calm(X))))&
(![X]:(old(X)=>(patient(X)&wise(X))... | strong(paul) | [
"p2",
"p3",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2331046738197868974209098
% SZS output start Proof for 2331046738197868974209098
3. ! [X0] : (happy(X0) => wise(X0)) [input p2]
4. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (funny(X0) | ~calm(X0))) [input p3]
15. ! [X0] : ((~funny(X0) | patient(X0)) => (happy(X0) & ~strong(X0))) [input p14]
18... | 0 |
If fred is not funny or rich then fred is funny or old. Everyone who is not tall is both strong and humble. Everyone who is either curious or not old is both not strong and patient. If someone is either not humble or not funny then someone is either strong or not rich. If someone is both tall and not curious then paul ... | Paul is not humble. | entailment | (((~funny(fred)|rich(fred)))=>((funny(fred)|old(fred))))&
(![X]:(~tall(X)=>(strong(X)&humble(X))))&
(![X]:((curious(X)<~>~old(X))=>(~strong(X)&patient(X))))&
((?[X]:((~humble(X)<~>~funny(X))))=>(?[X]:((strong(X)<~>~rich(X)))))&
((?[X]:((tall(X)&~curious(X))))<=>(strong(paul)))&
(![X]:(creative(X)<=>(old(X)|generous(X))... | ~humble(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6187250783228161270239222
% SZS output start Proof for 6187250783228161270239222
11. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> happy(X0)) [input p10]
21. humble(paul) [input hypothesis]
61. ! [X0] : (((~humble(X0) | ~happy(X0)) | ~happy(X0)) & (happy(X0) | (humble(X0) & happy(X0)))) [nnf t... | 0 |
If lucy is not patient then paul is both generous and not wise.
Everyone who is both wise and not rich is not tall or not curious and vice versa.
Everyone who is funny is both patient and not creative.
Everyone who is not quiet or not rich is both generous and curious and vice versa.
If paul is both not rich and old th... | Mary is humble. | neutral | ((~patient(lucy))=>((generous(paul)&~wise(paul))))&
(![X]:((wise(X)&~rich(X))<=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>(patient(X)&~creative(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(generous(X)&curious(X))))&
(((~rich(paul)&old(paul)))=>(~brave(mary)))&
(![X]:(~brave(X)=>(patient(X)|~old(X))))&
(((~generous(susan)&ric... | humble(mary) | [] | null | 0 |
If lucy is either not humble or not happy then fred is not brave or not funny. If fred is quiet then john is either rich or not generous. If john is generous then someone is old or not rich. Everyone who is both quiet and curious is not patient and vice versa. Everyone who is not funny or happy is not generous. If some... | Fred is not tall. | neutral | (((~humble(lucy)<~>~happy(lucy)))=>((~brave(fred)|~funny(fred))))&
((quiet(fred))=>((rich(john)<~>~generous(john))))&
((generous(john))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:((quiet(X)&curious(X))<=>~patient(X)))&
(![X]:((~funny(X)|happy(X))=>~generous(X)))&
((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((h... | ~tall(fred) | [] | null | 0 |
If someone is both not tall and not humble then paul is funny or not tall.
If someone is both not wise and brave then alice is either rich or generous and vice versa.
Everyone who is both not generous and not tall is either quiet or not generous and vice versa.
Everyone who is wise or tall is not brave and vice versa.
... | Mary is old. | neutral | ((?[X]:((~tall(X)&~humble(X))))=>((funny(paul)|~tall(paul))))&
((?[X]:((~wise(X)&brave(X))))<=>((rich(alice)<~>generous(alice))))&
(![X]:((~generous(X)&~tall(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((wise(X)|tall(X))<=>~brave(X)))&
(![X]:((tall(X)&~rich(X))<=>(kind(X)&quiet(X))))&
(![X]:((~happy(X)&strong(X))<=>old(X)... | old(mary) | [] | null | 0 |
If fred is both rich and not calm then someone is both patient and not funny and vice versa.
Everyone who is either kind or generous is kind.
Everyone who is not humble is not brave and vice versa.
If fred is old or quiet then someone is both tall and strong.
Everyone who is both brave and not generous is tall or gener... | Fred is old. | neutral | (((rich(fred)&~calm(fred)))<=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((kind(X)<~>generous(X))=>kind(X)))&
(![X]:(~humble(X)<=>~brave(X)))&
(((old(fred)|quiet(fred)))=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((brave(X)&~generous(X))<=>(tall(X)|generous(X))))&
(![X]:(patient(X)<=>(~curious(X)&~patient(X))))&
(![X]:((quiet(... | old(fred) | [] | null | 0 |
If someone is not patient or brave then someone is both happy and not happy. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who is happy or not funny is not tall or not humble and vice versa. If someone is rich then someone is not funny.... | Paul is not kind. | neutral | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~... | ~kind(paul) | [] | null | 0 |
If mary is not kind or calm then someone is not funny.
Everyone who is either wise or not quiet is quiet or not humble and vice versa.
Everyone who is both not quiet and not tall is both not patient and curious.
If fred is strong then susan is not quiet.
If someone is both not rich and humble then someone is either kin... | John is happy. | neutral | (((~kind(mary)|calm(mary)))=>(?[X]:(~funny(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)|~humble(X))))&
(![X]:((~quiet(X)&~tall(X))=>(~patient(X)&curious(X))))&
((strong(fred))=>(~quiet(susan)))&
((?[X]:((~rich(X)&humble(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(tall(X)|~kind(X))))&
(!... | happy(john) | [] | null | 0 |
Everyone who is not strong or not creative is not old and vice versa. If someone is either kind or wise then someone is both generous and not wise and vice versa. If someone is not old or not funny then fred is old and vice versa. Everyone who is both not brave and tall is patient. If paul is not humble then someone is... | Mary is kind. | entailment | (![X]:((~strong(X)|~creative(X))<=>~old(X)))&
((?[X]:((kind(X)<~>wise(X))))<=>(?[X]:((generous(X)&~wise(X)))))&
((?[X]:((~old(X)|~funny(X))))<=>(old(fred)))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((~humble(paul))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~curious(X)<~>~funny(X))<=>(~strong(X)<~>~old(X))))&
(![X]:(ta... | kind(mary) | [
"p1",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4619864032684501638598645
% SZS output start Proof for 4619864032684501638598645
2. ? [X0] : (kind(X0) <~> wise(X0)) <=> ? [X0] : (~wise(X0) & generous(X0)) [input p1]
9. ! [X0] : ((~wise(X0) & happy(X0)) => (~patient(X0) & wise(X0))) [input p8]
11. ! [X0] : ((~kind(X0) | generous(X0)) =>... | 0 |
Everyone who is strong or calm is either old or not curious and vice versa.
If someone is both not calm and tall then someone is either quiet or not creative and vice versa.
If someone is funny then alice is generous or curious.
If someone is funny or generous then fred is not curious.
Everyone who is not rich is eithe... | Mary is not happy. | contradiction | (![X]:((strong(X)|calm(X))<=>(old(X)<~>~curious(X))))&
((?[X]:((~calm(X)&tall(X))))<=>(?[X]:((quiet(X)<~>~creative(X)))))&
((?[X]:(funny(X)))=>((generous(alice)|curious(alice))))&
((?[X]:((funny(X)|generous(X))))=>(~curious(fred)))&
(![X]:(~rich(X)=>(~creative(X)<~>generous(X))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X... | ~happy(mary) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2097533851899122123513784
% SZS output start Proof for 2097533851899122123513784
7. (~quiet(john) & patient(john)) <=> ? [X0] : (quiet(X0) & ~brave(X0)) [input p6]
10. ? [X0] : ~happy(X0) <=> ? [X0] : (wise(X0) & ~brave(X0)) [input p9]
12. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (happy(X0) ... | 0 |
Everyone who is either calm or not patient is both wise and humble and vice versa. If someone is both generous and not old then someone is both not happy and not kind and vice versa. If john is brave or not funny then someone is both not creative and not funny. If susan is happy or quiet then john is not happy or patie... | John is kind. | entailment | (![X]:((calm(X)<~>~patient(X))<=>(wise(X)&humble(X))))&
((?[X]:((generous(X)&~old(X))))<=>(?[X]:((~happy(X)&~kind(X)))))&
(((brave(john)|~funny(john)))=>(?[X]:((~creative(X)&~funny(X)))))&
(((happy(susan)|quiet(susan)))<=>((~happy(john)|patient(john))))&
(![X]:((strong(X)<~>~kind(X))=>happy(X)))&
(![X]:((happy(X)|~curi... | kind(john) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1710790534486313070882471
% SZS output start Proof for 1710790534486313070882471
9. ! [X0] : ((~kind(X0) | happy(X0)) => ~wise(X0)) [input p8]
21. tall(john) & wise(john) [input p20]
25. ~kind(john) [input hypothesis]
33. ! [X0] : (~wise(X0) | (kind(X0) & ~happy(X0))) [ennf transformation... | 0 |
Everyone who is either calm or generous is either rich or not humble. Everyone who is both creative and not happy is curious or patient. If mary is not strong or generous then someone is either not tall or strong. Everyone who is not kind is rich. If someone is quiet then someone is calm and vice versa. Everyone who is... | Paul is patient. | neutral | (![X]:((calm(X)<~>generous(X))=>(rich(X)<~>~humble(X))))&
(![X]:((creative(X)&~happy(X))=>(curious(X)|patient(X))))&
(((~strong(mary)|generous(mary)))=>(?[X]:((~tall(X)<~>strong(X)))))&
(![X]:(~kind(X)=>rich(X)))&
((?[X]:(quiet(X)))<=>(?[X]:(calm(X))))&
(![X]:((quiet(X)&~kind(X))<=>(~curious(X)|~creative(X))))&
((?[X]:... | patient(paul) | [] | null | 0 |
Everyone who is not kind or not quiet is curious.
Everyone who is either funny or not patient is both not creative and calm and vice versa.
If someone is quiet then susan is humble and vice versa.
If someone is both kind and generous then fred is both not generous and not creative and vice versa.
Everyone who is either... | Paul is not brave. | contradiction | (![X]:((~kind(X)|~quiet(X))=>curious(X)))&
(![X]:((funny(X)<~>~patient(X))<=>(~creative(X)&calm(X))))&
((?[X]:(quiet(X)))<=>(humble(susan)))&
((?[X]:((kind(X)&generous(X))))<=>((~generous(fred)&~creative(fred))))&
(![X]:((~happy(X)<~>brave(X))<=>curious(X)))&
(((curious(alice)<~>rich(alice)))=>((old(mary)&patient(mary)... | ~brave(paul) | [
"p1",
"p6",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2854420526699315824170994
% SZS output start Proof for 2854420526699315824170994
2. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> (calm(X0) & ~creative(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (~rich(X0) <~> ~calm(X0))) [input p6]
10. ! [X0] : ((~patient(X0) | ~quiet(X0... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is calm. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | calm(john) | [
"p6",
"p9",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4128877921238479963464470
% SZS output start Proof for 4128877921238479963464470
7. ! [X0] : (~curious(X0) <=> (~patient(X0) | creative(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (generous(X0) & ~funny(X0))) [input p9]
12. generous(fred) <=> funny(john) [input p11]
13. ... | 0 |
Everyone who is rich or not old is old.
Everyone who is either not curious or funny is either not calm or not kind and vice versa.
Everyone who is either not creative or not brave is curious.
Everyone who is both creative and wise is both not generous and happy.
If fred is both not calm and not old then someone is both... | Susan is not happy. | entailment | (![X]:((rich(X)|~old(X))=>old(X)))&
(![X]:((~curious(X)<~>funny(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((~creative(X)<~>~brave(X))=>curious(X)))&
(![X]:((creative(X)&wise(X))=>(~generous(X)&happy(X))))&
(((~calm(fred)&~old(fred)))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(humble(X)<~>~humble(X)... | ~happy(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 460786623346703823240554
% SZS output start Proof for 460786623346703823240554
6. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (humble(X0) <~> ~humble(X0))) [input p5]
24. happy(susan) [input hypothesis]
47. ! [X0] : (((~brave(X0) & ~happy(X0)) | ((humble(X0) | humble(X0)) & (~humble(X0) | ~hu... | 0 |
If someone is not wise then john is both not creative and patient.
If someone is not old then alice is both kind and not generous and vice versa.
If alice is humble or rich then someone is not rich.
If someone is not calm or tall then someone is both not curious and old and vice versa.
Everyone who is either tall or br... | Susan is not wise. | contradiction | ((?[X]:(~wise(X)))=>((~creative(john)&patient(john))))&
((?[X]:(~old(X)))<=>((kind(alice)&~generous(alice))))&
(((humble(alice)|rich(alice)))=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(... | ~wise(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 159647634601529101829011
% SZS output start Proof for 159647634601529101829011
19. wise(susan) [input p18]
22. ~wise(susan) [input hypothesis]
132. wise(susan) [cnf transformation 19]
137. ~wise(susan) [cnf transformation 22]
221. 19 <=> wise(susan) [avatar definition]
307. 19 [avatar spl... | 0 |
If someone is either happy or kind then someone is both not strong and quiet. Everyone who is either not generous or not patient is strong or not patient and vice versa. Everyone who is either not tall or tall is both not happy and wise and vice versa. Everyone who is kind is both not rich and not quiet. Everyone who i... | Alice is brave. | contradiction | ((?[X]:((happy(X)<~>kind(X))))=>(?[X]:((~strong(X)&quiet(X)))))&
(![X]:((~generous(X)<~>~patient(X))<=>(strong(X)|~patient(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~happy(X)&wise(X))))&
(![X]:(kind(X)=>(~rich(X)&~quiet(X))))&
(![X]:((wise(X)&patient(X))<=>~strong(X)))&
((?[X]:((~tall(X)&~old(X))))=>(?[X]:(~creative(X))))&... | brave(alice) | [
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7983243514194375207308857
% SZS output start Proof for 7983243514194375207308857
4. ! [X0] : (kind(X0) => (~quiet(X0) & ~rich(X0))) [input p3]
7. ! [X0] : (~rich(X0) => (strong(X0) | quiet(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> (~rich(X0) | kind(X0))) [input p9]
11. ? [X0] : brave... | 0 |
Everyone who is both brave and patient is calm and vice versa. Everyone who is not calm is either not wise or generous. If susan is patient then someone is both kind and creative and vice versa. Everyone who is both not strong and tall is either generous or wise. Everyone who is both humble and curious is both not kind... | Alice is happy. | neutral | (![X]:((brave(X)&patient(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~wise(X)<~>generous(X))))&
((patient(susan))<=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((~strong(X)&tall(X))=>(generous(X)<~>wise(X))))&
(![X]:((humble(X)&curious(X))=>(~kind(X)&funny(X))))&
(![X]:((creative(X)<~>patient(X))<=>(patient(X)&~funny(X))))&
(((~stro... | happy(alice) | [] | null | 0 |
Everyone who is quiet or generous is not tall and vice versa. Everyone who is brave is not quiet or curious and vice versa. If someone is generous or not wise then fred is calm or kind and vice versa. Everyone who is both creative and happy is either not generous or calm and vice versa. Everyone who is either not old o... | Paul is quiet. | entailment | (![X]:((quiet(X)|generous(X))<=>~tall(X)))&
(![X]:(brave(X)<=>(~quiet(X)|curious(X))))&
((?[X]:((generous(X)|~wise(X))))<=>((calm(fred)|kind(fred))))&
(![X]:((creative(X)&happy(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))=>(calm(X)&kind(X))))&
(![X]:(happy(X)<=>(humble(X)|calm(X))))&
(![X]:((curious(X... | quiet(paul) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7836693665826517033284725
% SZS output start Proof for 7836693665826517033284725
1. ! [X0] : ((generous(X0) | quiet(X0)) <=> ~tall(X0)) [input p0]
24. generous(paul) <~> ~tall(paul) [input p23]
25. ~quiet(paul) [input hypothesis]
31. ! [X0] : (((generous(X0) | quiet(X0)) | tall(X0)) & (~t... | 0 |
If susan is creative then fred is curious. Everyone who is not creative or patient is not patient or funny and vice versa. Everyone who is kind is both curious and humble and vice versa. If someone is brave or not generous then someone is either strong or rich and vice versa. If someone is both not happy and not genero... | Fred is not brave. | entailment | ((creative(susan))=>(curious(fred)))&
(![X]:((~creative(X)|patient(X))<=>(~patient(X)|funny(X))))&
(![X]:(kind(X)<=>(curious(X)&humble(X))))&
((?[X]:((brave(X)|~generous(X))))<=>(?[X]:((strong(X)<~>rich(X)))))&
((?[X]:((~happy(X)&~generous(X))))<=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)... | ~brave(fred) | [
"p1",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1831757950018721589576610
% SZS output start Proof for 1831757950018721589576610
2. ! [X0] : ((patient(X0) | ~creative(X0)) <=> (funny(X0) | ~patient(X0))) [input p1]
8. ! [X0] : ((funny(X0) | tall(X0)) <=> old(X0)) [input p7]
10. (~humble(fred) <~> ~patient(fred)) => (~old(lucy) & creati... | 0 |
Everyone who is both not funny and calm is both humble and not humble and vice versa. Everyone who is either not brave or kind is both not wise and not strong and vice versa. If john is not wise or not quiet then someone is wise and vice versa. If someone is both not wise and generous then lucy is old. If john is eithe... | Alice is not creative. | neutral | (![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)|~quiet(john)))<=>(?[X]:(wise(X))))&
((?[X]:((~wise(X)&generous(X))))=>(old(lucy)))&
(((~old(john)<~>strong(john)))=>((wise(lucy)&calm(lucy))))&
((?[X]:((~tall(X)|tall(X))))<=>(?[X]:((happy(X)|hu... | ~creative(alice) | [] | null | 0 |
If someone is both not wise and not funny then paul is not creative or generous. If someone is quiet or not quiet then someone is not patient or strong and vice versa. Everyone who is creative or not generous is either not quiet or old and vice versa. If someone is both not strong and funny then someone is not strong o... | Alice is not kind. | contradiction | ((?[X]:((~wise(X)&~funny(X))))=>((~creative(paul)|generous(paul))))&
((?[X]:((quiet(X)|~quiet(X))))<=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((creative(X)|~generous(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((generous(X)&happy(X))=>(~kind(X)&old(X))))&
(((~f... | ~kind(alice) | [
"p7",
"p9",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3407942711627682300820690
% SZS output start Proof for 3407942711627682300820690
8. ! [X0] : ((wise(X0) <~> calm(X0)) <=> (rich(X0) | ~strong(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (~rich(X0) | ~humble(X0))) [input p9]
11. ! [X0] : ((wise(X0) | ~generous(X0)) => (q... | 0 |
Everyone who is wise or creative is calm or wise and vice versa.
If someone is both not funny and not generous then someone is either not wise or not humble and vice versa.
If mary is both old and not wise then someone is old or not calm and vice versa.
If fred is either not generous or not humble then alice is not bra... | John is not patient. | entailment | (![X]:((wise(X)|creative(X))<=>(calm(X)|wise(X))))&
((?[X]:((~funny(X)&~generous(X))))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(((old(mary)&~wise(mary)))<=>(?[X]:((old(X)|~calm(X)))))&
(((~generous(fred)<~>~humble(fred)))=>(~brave(alice)))&
(![X]:(patient(X)<=>(curious(X)&~brave(X))))&
(![X]:((~old(X)<~>brave(X))=>brave(X... | ~patient(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1666834145277626502598498
% SZS output start Proof for 1666834145277626502598498
5. ! [X0] : (patient(X0) <=> (~brave(X0) & curious(X0))) [input p4]
7. ! [X0] : (patient(X0) => (happy(X0) & brave(X0))) [input p6]
22. patient(john) [input hypothesis]
29. ! [X0] : ((happy(X0) & brave(X0)) |... | 0 |
If susan is not curious or not creative then someone is both not patient and not generous and vice versa.
Everyone who is either not brave or funny is happy or generous.
Everyone who is not generous is either not funny or kind and vice versa.
Everyone who is not curious or not tall is either not curious or tall and vic... | Lucy is not kind. | contradiction | (((~curious(susan)|~creative(susan)))<=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:((~brave(X)<~>funny(X))=>(happy(X)|generous(X))))&
(![X]:(~generous(X)<=>(~funny(X)<~>kind(X))))&
(![X]:((~curious(X)|~tall(X))<=>(~curious(X)<~>tall(X))))&
((?[X]:((~calm(X)&~rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((old(X)&~bra... | ~kind(lucy) | [
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7991476244290262144302920
% SZS output start Proof for 7991476244290262144302920
4. ! [X0] : ((~tall(X0) | ~curious(X0)) <=> (~curious(X0) <~> tall(X0))) [input p3]
6. ! [X0] : ((~brave(X0) & old(X0)) <=> (wise(X0) <~> ~curious(X0))) [input p5]
8. ! [X0] : ((generous(X0) | wise(X0)) <=> (... | 0 |
If someone is not kind or not happy then someone is either curious or not generous and vice versa.
If someone is either old or not funny then paul is either not humble or not rich and vice versa.
If someone is both not patient and calm then someone is not brave or kind and vice versa.
Everyone who is not quiet is not f... | John is not tall. | entailment | ((?[X]:((~kind(X)|~happy(X))))<=>(?[X]:((curious(X)<~>~generous(X)))))&
((?[X]:((old(X)<~>~funny(X))))<=>((~humble(paul)<~>~rich(paul))))&
((?[X]:((~patient(X)&calm(X))))<=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:(~quiet(X)<=>(~funny(X)|~brave(X))))&
(![X]:((quiet(X)&humble(X))<=>(old(X)<~>~calm(X))))&
((?[X]:((~wise(X)&~... | ~tall(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4785479189018144078818531
% SZS output start Proof for 4785479189018144078818531
13. ! [X0] : ((tall(X0) | wise(X0)) => (~generous(X0) & generous(X0))) [input p12]
24. tall(john) [input hypothesis]
35. ! [X0] : ((~generous(X0) & generous(X0)) | (~tall(X0) & ~wise(X0))) [ennf transformatio... | 0 |
If john is patient then alice is either not rich or old and vice versa. If mary is not creative then someone is not curious. Everyone who is not wise or rich is not patient or humble. If paul is both not kind and not rich then susan is not funny and vice versa. If paul is curious then fred is wise. Everyone who is both... | Paul is wise. | neutral | ((patient(john))<=>((~rich(alice)<~>old(alice))))&
((~creative(mary))=>(?[X]:(~curious(X))))&
(![X]:((~wise(X)|rich(X))=>(~patient(X)|humble(X))))&
(((~kind(paul)&~rich(paul)))<=>(~funny(susan)))&
((curious(paul))=>(wise(fred)))&
(![X]:((~wise(X)&~funny(X))=>(wise(X)<~>~strong(X))))&
(![X]:(~happy(X)=>humble(X)))&
(![X... | wise(paul) | [] | null | 0 |
Everyone who is wise is either curious or not creative and vice versa.
If john is both not calm and patient then susan is not curious or not brave and vice versa.
If paul is brave or creative then alice is either patient or not kind.
If mary is both patient and not humble then lucy is happy and vice versa.
If susan is ... | John is tall. | neutral | (![X]:(wise(X)<=>(curious(X)<~>~creative(X))))&
(((~calm(john)&patient(john)))<=>((~curious(susan)|~brave(susan))))&
(((brave(paul)|creative(paul)))=>((patient(alice)<~>~kind(alice))))&
(((patient(mary)&~humble(mary)))<=>(happy(lucy)))&
(((~rich(susan)&~tall(susan)))=>(?[X]:(~humble(X))))&
((?[X]:((~humble(X)|creative(... | tall(john) | [] | null | 0 |
Everyone who is not calm or not wise is brave and vice versa.
Everyone who is both tall and not happy is not patient or not humble and vice versa.
Everyone who is not brave is both quiet and tall and vice versa.
If someone is both not curious and not creative then someone is either not kind or rich and vice versa.
If m... | Mary is not humble. | neutral | (![X]:((~calm(X)|~wise(X))<=>brave(X)))&
(![X]:((tall(X)&~happy(X))<=>(~patient(X)|~humble(X))))&
(![X]:(~brave(X)<=>(quiet(X)&tall(X))))&
((?[X]:((~curious(X)&~creative(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((kind(mary)&~humble(mary)))=>(?[X]:((~brave(X)|~rich(X)))))&
(![X]:((~wise(X)|~rich(X))<=>(~wise(X)|~strong(... | ~humble(mary) | [] | null | 0 |
Everyone who is rich is not rich or not funny and vice versa.
Everyone who is both not rich and quiet is both happy and old and vice versa.
Everyone who is not creative or creative is not old or quiet and vice versa.
Everyone who is quiet is curious or not brave and vice versa.
Everyone who is creative or not kind is n... | Lucy is not brave. | entailment | (![X]:(rich(X)<=>(~rich(X)|~funny(X))))&
(![X]:((~rich(X)&quiet(X))<=>(happy(X)&old(X))))&
(![X]:((~creative(X)|creative(X))<=>(~old(X)|quiet(X))))&
(![X]:(quiet(X)<=>(curious(X)|~brave(X))))&
(![X]:((creative(X)|~kind(X))=>(~wise(X)|~curious(X))))&
(((wise(lucy)|~brave(lucy)))<=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:... | ~brave(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 812960120439448286889947
% SZS output start Proof for 812960120439448286889947
1. ! [X0] : (rich(X0) <=> (~funny(X0) | ~rich(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | ~old(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~brave(X0) | curious(X0))) [input p3... | 0 |
Everyone who is either strong or humble is both not creative and old.
Everyone who is both not rich and not strong is both tall and not rich and vice versa.
Everyone who is old is creative.
Everyone who is either not happy or wise is either not rich or not brave.
Everyone who is old or patient is not happy and vice ver... | Paul is not patient. | entailment | (![X]:((strong(X)<~>humble(X))=>(~creative(X)&old(X))))&
(![X]:((~rich(X)&~strong(X))<=>(tall(X)&~rich(X))))&
(![X]:(old(X)=>creative(X)))&
(![X]:((~happy(X)<~>wise(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((old(X)|patient(X))<=>~happy(X)))&
(((rich(mary)<~>kind(mary)))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:((humb... | ~patient(paul) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8840440698682048194177089
% SZS output start Proof for 8840440698682048194177089
5. ! [X0] : ((patient(X0) | old(X0)) <=> ~happy(X0)) [input p4]
8. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p7]
15. ! [X0] : (~happy(X0) => ~quiet(X0)) [input p14]
23. patient... | 0 |
If susan is happy then fred is either funny or not humble and vice versa.
If someone is both tall and brave then lucy is not patient and vice versa.
Everyone who is either not calm or generous is not brave or not wise.
Everyone who is both strong and kind is not rich or not funny and vice versa.
Everyone who is both no... | Paul is not old. | neutral | ((happy(susan))<=>((funny(fred)<~>~humble(fred))))&
((?[X]:((tall(X)&brave(X))))<=>(~patient(lucy)))&
(![X]:((~calm(X)<~>generous(X))=>(~brave(X)|~wise(X))))&
(![X]:((strong(X)&kind(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~brave(X)&wise(X))=>(~tall(X)&brave(X))))&
(![X]:(strong(X)<=>(wise(X)&~strong(X))))&
(((curious(fre... | ~old(paul) | [] | null | 0 |
Everyone who is both not brave and funny is quiet or happy and vice versa. Everyone who is both not kind and brave is either kind or generous and vice versa. Everyone who is both tall and curious is either not generous or tall. If mary is not creative then mary is either not funny or not tall and vice versa. If lucy is... | Susan is not kind. | entailment | (![X]:((~brave(X)&funny(X))<=>(quiet(X)|happy(X))))&
(![X]:((~kind(X)&brave(X))<=>(kind(X)<~>generous(X))))&
(![X]:((tall(X)&curious(X))=>(~generous(X)<~>tall(X))))&
((~creative(mary))<=>((~funny(mary)<~>~tall(mary))))&
(((~calm(lucy)<~>happy(lucy)))=>(?[X]:((humble(X)|strong(X)))))&
(((~tall(lucy)|curious(lucy)))=>((w... | ~kind(susan) | [
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8000340756810675267710957
% SZS output start Proof for 8000340756810675267710957
7. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (kind(X0) <~> ~patient(X0))) [input p6]
12. ? [X0] : (~brave(X0) & patient(X0)) <=> ? [X0] : (kind(X0) | funny(X0)) [input p11]
16. ! [X0] : ((~kind(X0) | quiet(X0)) =... | 0 |
If someone is strong then someone is not rich. If someone is both wise and not curious then someone is generous or not patient and vice versa. Everyone who is both not wise and curious is not curious or not rich and vice versa. If someone is not creative or wise then fred is creative and vice versa. If paul is either h... | Mary is kind. | neutral | ((?[X]:(strong(X)))=>(?[X]:(~rich(X))))&
((?[X]:((wise(X)&~curious(X))))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~wise(X)&curious(X))<=>(~curious(X)|~rich(X))))&
((?[X]:((~creative(X)|wise(X))))<=>(creative(fred)))&
(((humble(paul)<~>wise(paul)))<=>((patient(john)|~rich(john))))&
((?[X]:((rich(X)<~>quiet(X))))=>... | kind(mary) | [] | null | 0 |
Everyone who is either wise or not quiet is both quiet and not curious and vice versa.
Everyone who is happy is not quiet or old.
Everyone who is not brave or tall is either not patient or not quiet and vice versa.
Everyone who is both not quiet and kind is either creative or not brave.
If someone is not tall or quiet ... | Paul is wise. | entailment | (![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)&~curious(X))))&
(![X]:(happy(X)=>(~quiet(X)|old(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&kind(X))=>(creative(X)<~>~brave(X))))&
((?[X]:((~tall(X)|quiet(X))))<=>((~creative(john)<~>~curious(john))))&
(![X]:((~patient(X)|generous(X))=>(wis... | wise(paul) | [
"p0",
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1539884865176075218271858
% SZS output start Proof for 1539884865176075218271858
1. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~curious(X0) & quiet(X0))) [input p0]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~patient(X0)) ... | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | John is patient. | neutral | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | patient(john) | [] | null | 0 |
Everyone who is both creative and not rich is both not rich and generous.
If someone is brave or curious then someone is both not generous and not happy.
Everyone who is tall or not old is not patient or not kind.
Everyone who is both not kind and not quiet is either brave or humble and vice versa.
Everyone who is both... | John is not old. | entailment | (![X]:((creative(X)&~rich(X))=>(~rich(X)&generous(X))))&
((?[X]:((brave(X)|curious(X))))=>(?[X]:((~generous(X)&~happy(X)))))&
(![X]:((tall(X)|~old(X))=>(~patient(X)|~kind(X))))&
(![X]:((~kind(X)&~quiet(X))<=>(brave(X)<~>humble(X))))&
(![X]:((~funny(X)&brave(X))=>(~quiet(X)|happy(X))))&
(((~brave(john)|~tall(john)))=>((... | ~old(john) | [
"p3",
"p5",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3601149898923904539861431
% SZS output start Proof for 3601149898923904539861431
4. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> (brave(X0) <~> humble(X0))) [input p3]
6. (~tall(john) | ~brave(john)) => (kind(john) <~> ~curious(john)) [input p5]
8. ! [X0] : ((strong(X0) | brave(X0)) => ~brave(X... | 0 |
If susan is both not wise and funny then someone is not tall or not curious and vice versa. Everyone who is both happy and not humble is both not kind and humble and vice versa. If someone is either generous or creative then alice is brave or rich. Everyone who is old is creative or kind and vice versa. If someone is n... | John is kind. | entailment | (((~wise(susan)&funny(susan)))<=>(?[X]:((~tall(X)|~curious(X)))))&
(![X]:((happy(X)&~humble(X))<=>(~kind(X)&humble(X))))&
((?[X]:((generous(X)<~>creative(X))))=>((brave(alice)|rich(alice))))&
(![X]:(old(X)<=>(creative(X)|kind(X))))&
((?[X]:((~curious(X)|wise(X))))=>(?[X]:(old(X))))&
(![X]:(~brave(X)=>(~curious(X)|stron... | kind(john) | [
"p1",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8582527123883105958435552
% SZS output start Proof for 8582527123883105958435552
2. ! [X0] : ((~humble(X0) & happy(X0)) <=> (humble(X0) & ~kind(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (kind(X0) | creative(X0))) [input p3]
7. ? [X0] : calm(X0) <=> ? [X0] : (~old(X0) & humble(X0)) [input ... | 0 |
If someone is not patient then fred is not happy.
Everyone who is old is happy or not kind and vice versa.
If someone is not calm or tall then someone is either not humble or not strong and vice versa.
Everyone who is not kind is both wise and not strong.
Everyone who is either old or not curious is either not strong o... | Fred is not old. | entailment | ((?[X]:(~patient(X)))=>(~happy(fred)))&
(![X]:(old(X)<=>(happy(X)|~kind(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~kind(X)=>(wise(X)&~strong(X))))&
(![X]:((old(X)<~>~curious(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>(?[X]:((~brave(X)<~>brave(X))))... | ~old(fred) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 855722998602567766489551
% SZS output start Proof for 855722998602567766489551
1. ? [X0] : ~patient(X0) => ~happy(fred) [input p0]
2. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p1]
4. ! [X0] : (~kind(X0) => (~strong(X0) & wise(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~curious... | 0 |
If someone is either not creative or not kind then mary is not curious or not calm.
Everyone who is not brave or funny is brave or not generous.
If mary is not patient then someone is not rich.
Everyone who is kind or not generous is humble and vice versa.
Everyone who is both old and not kind is either not quiet or no... | Paul is not tall. | entailment | ((?[X]:((~creative(X)<~>~kind(X))))=>((~curious(mary)|~calm(mary))))&
(![X]:((~brave(X)|funny(X))=>(brave(X)|~generous(X))))&
((~patient(mary))=>(?[X]:(~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>humble(X)))&
(![X]:((old(X)&~kind(X))<=>(~quiet(X)<~>~patient(X))))&
(((wise(paul)&humble(paul)))<=>((~rich(lucy)<~>brave(l... | ~tall(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4035233314481185239191684
% SZS output start Proof for 4035233314481185239191684
16. ! [X0] : (old(X0) <=> (~old(X0) & tall(X0))) [input p15]
25. tall(paul) [input hypothesis]
66. ! [X0] : ((old(X0) | (old(X0) | ~tall(X0))) & ((~old(X0) & tall(X0)) | ~old(X0))) [nnf transformation 16]
67.... | 0 |
If susan is either not calm or not rich then john is both not old and not creative and vice versa.
If someone is either not wise or not tall then mary is funny or brave and vice versa.
Everyone who is strong or quiet is not tall and vice versa.
If mary is both not rich and not kind then susan is either not strong or no... | Susan is not old. | contradiction | (((~calm(susan)<~>~rich(susan)))<=>((~old(john)&~creative(john))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((funny(mary)|brave(mary))))&
(![X]:((strong(X)|quiet(X))<=>~tall(X)))&
(((~rich(mary)&~kind(mary)))<=>((~strong(susan)<~>~rich(susan))))&
(![X]:((~tall(X)<~>strong(X))<=>(~calm(X)|tall(X))))&
((?[X]:((kind(X)|~strong(... | ~old(susan) | [
"p2",
"p3",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7563687704281988228515323
% SZS output start Proof for 7563687704281988228515323
3. ! [X0] : ((quiet(X0) | strong(X0)) <=> ~tall(X0)) [input p2]
4. (~kind(mary) & ~rich(mary)) <=> (~strong(susan) <~> ~rich(susan)) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (tall(X0) | ~calm(X0... | 0 |
If paul is either kind or not kind then lucy is not old and vice versa.
Everyone who is not strong or not wise is both not strong and not happy and vice versa.
Everyone who is kind is not brave or kind.
If mary is kind then someone is both not creative and strong and vice versa.
Everyone who is creative is not old and ... | Susan is old. | neutral | (((kind(paul)<~>~kind(paul)))<=>(~old(lucy)))&
(![X]:((~strong(X)|~wise(X))<=>(~strong(X)&~happy(X))))&
(![X]:(kind(X)=>(~brave(X)|kind(X))))&
((kind(mary))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:(creative(X)<=>~old(X)))&
(![X]:((~patient(X)<~>old(X))=>(happy(X)<~>~rich(X))))&
(![X]:(curious(X)=>(generous(X)<~>~ol... | old(susan) | [] | null | 0 |
If someone is not brave or not humble then mary is not kind or generous. Everyone who is both not calm and kind is either tall or calm and vice versa. If someone is either curious or kind then someone is both not generous and not funny and vice versa. If john is not tall or not happy then paul is either not generous or... | Fred is not tall. | contradiction | ((?[X]:((~brave(X)|~humble(X))))=>((~kind(mary)|generous(mary))))&
(![X]:((~calm(X)&kind(X))<=>(tall(X)<~>calm(X))))&
((?[X]:((curious(X)<~>kind(X))))<=>(?[X]:((~generous(X)&~funny(X)))))&
(((~tall(john)|~happy(john)))<=>((~generous(paul)<~>funny(paul))))&
(![X]:((~old(X)|happy(X))<=>(funny(X)|~strong(X))))&
(((quiet(s... | ~tall(fred) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4962865005242142573209963
% SZS output start Proof for 4962865005242142573209963
2. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (tall(X0) <~> calm(X0))) [input p1]
12. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p11]
25. ~tall(fred) [input hypothesis]
36. ! [X0] : (((kind(X0) & ~calm... | 0 |
If someone is rich then paul is either not funny or happy.
Everyone who is both wise and not kind is either not patient or not calm and vice versa.
If lucy is either not generous or funny then someone is both humble and not wise.
Everyone who is not happy or wise is both rich and not wise.
Everyone who is both humble a... | Lucy is happy. | entailment | ((?[X]:(rich(X)))=>((~funny(paul)<~>happy(paul))))&
(![X]:((wise(X)&~kind(X))<=>(~patient(X)<~>~calm(X))))&
(((~generous(lucy)<~>funny(lucy)))=>(?[X]:((humble(X)&~wise(X)))))&
(![X]:((~happy(X)|wise(X))=>(rich(X)&~wise(X))))&
(![X]:((humble(X)&rich(X))<=>(~strong(X)&~funny(X))))&
(![X]:((old(X)|~kind(X))<=>(rich(X)&~qu... | happy(lucy) | [
"p3",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 14306746806094541944841
% SZS output start Proof for 14306746806094541944841
4. ! [X0] : ((wise(X0) | ~happy(X0)) => (~wise(X0) & rich(X0))) [input p3]
9. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (~curious(X0) & ~strong(X0))) [input p8]
11. ! [X0] : ((~rich(X0) & creative(X0)) <=> (~happy... | 0 |
If someone is both not creative and generous then alice is both tall and not old.
Everyone who is rich or wise is not kind and vice versa.
Everyone who is both generous and not old is not patient or happy and vice versa.
Everyone who is both not curious and not rich is both not rich and not calm.
Everyone who is funny ... | Lucy is calm. | neutral | ((?[X]:((~creative(X)&generous(X))))=>((tall(alice)&~old(alice))))&
(![X]:((rich(X)|wise(X))<=>~kind(X)))&
(![X]:((generous(X)&~old(X))<=>(~patient(X)|happy(X))))&
(![X]:((~curious(X)&~rich(X))=>(~rich(X)&~calm(X))))&
(![X]:((funny(X)|old(X))<=>rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((curious(X)<~>~creative(X)))))&
(![X]... | calm(lucy) | [] | null | 0 |
Everyone who is patient is both tall and not calm.
If lucy is both not calm and not curious then alice is not old or humble and vice versa.
If fred is either not humble or calm then someone is either not funny or not generous.
Everyone who is quiet or not strong is both not rich and calm.
If fred is both not creative a... | Alice is patient. | contradiction | (![X]:(patient(X)=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(alice)|humble(alice))))&
(((~humble(fred)<~>calm(fred)))=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)&calm(X))))&
(((~creative(fred)&generous(fred)))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
(((old(lucy)&cr... | patient(alice) | [
"p0",
"p3",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 97872702627685737444644
% SZS output start Proof for 97872702627685737444644
1. ! [X0] : (patient(X0) => (~calm(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => (calm(X0) & ~rich(X0))) [input p3]
7. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p6]
11. ! [X0] : (~cre... | 0 |
Everyone who is funny or not tall is either humble or generous and vice versa.
If someone is both wise and not quiet then paul is not funny.
If mary is funny then susan is not calm.
Everyone who is happy is not tall or rich and vice versa.
Everyone who is either humble or not brave is curious and vice versa.
If someone... | Lucy is generous. | contradiction | (![X]:((funny(X)|~tall(X))<=>(humble(X)<~>generous(X))))&
((?[X]:((wise(X)&~quiet(X))))=>(~funny(paul)))&
((funny(mary))=>(~calm(susan)))&
(![X]:(happy(X)<=>(~tall(X)|rich(X))))&
(![X]:((humble(X)<~>~brave(X))<=>curious(X)))&
((?[X]:((~kind(X)<~>~strong(X))))<=>((wise(lucy)&~rich(lucy))))&
((?[X]:((~funny(X)|happy(X)))... | generous(lucy) | [
"p0",
"p8",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5088472251691824345393879
% SZS output start Proof for 5088472251691824345393879
1. ! [X0] : ((~tall(X0) | funny(X0)) <=> (humble(X0) <~> generous(X0))) [input p0]
9. ! [X0] : ((~funny(X0) | kind(X0)) <=> (~rich(X0) & ~calm(X0))) [input p8]
23. humble(lucy) & wise(lucy) [input p22]
24. ri... | 0 |
Everyone who is either not kind or not calm is creative or not kind and vice versa.
Everyone who is both funny and not calm is generous.
If someone is not strong then john is both not wise and not brave and vice versa.
Everyone who is quiet is both not strong and not brave.
Everyone who is kind or wise is both not brav... | John is rich. | entailment | (![X]:((~kind(X)<~>~calm(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)&~calm(X))=>generous(X)))&
((?[X]:(~strong(X)))<=>((~wise(john)&~brave(john))))&
(![X]:(quiet(X)=>(~strong(X)&~brave(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~... | rich(john) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2005671418200320381419966
% SZS output start Proof for 2005671418200320381419966
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~kind(X0) | creative(X0))) [input p0]
5. ! [X0] : ((wise(X0) | kind(X0)) => (~calm(X0) & ~brave(X0))) [input p4]
7. ! [X0] : ((patient(X0) & tall(X0)) <=> (~creativ... | 0 |
Everyone who is either rich or not patient is old or not creative and vice versa.
Everyone who is not funny is not rich or tall.
Everyone who is either quiet or funny is not calm.
If someone is either rich or humble then alice is either curious or generous.
Everyone who is both not patient and not brave is both creativ... | Paul is old. | neutral | (![X]:((rich(X)<~>~patient(X))<=>(old(X)|~creative(X))))&
(![X]:(~funny(X)=>(~rich(X)|tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>~calm(X)))&
((?[X]:((rich(X)<~>humble(X))))=>((curious(alice)<~>generous(alice))))&
(![X]:((~patient(X)&~brave(X))<=>(creative(X)&~quiet(X))))&
((generous(susan))=>(?[X]:((~patient(X)<~>~brave... | old(paul) | [] | null | 0 |
If alice is wise or not tall then someone is both happy and generous and vice versa.
If paul is either patient or quiet then someone is both old and not quiet.
If alice is both wise and generous then someone is not humble.
If paul is generous or tall then someone is either strong or quiet and vice versa.
If mary is not... | Fred is funny. | neutral | (((wise(alice)|~tall(alice)))<=>(?[X]:((happy(X)&generous(X)))))&
(((patient(paul)<~>quiet(paul)))=>(?[X]:((old(X)&~quiet(X)))))&
(((wise(alice)&generous(alice)))=>(?[X]:(~humble(X))))&
(((generous(paul)|tall(paul)))<=>(?[X]:((strong(X)<~>quiet(X)))))&
(((~strong(mary)|~funny(mary)))=>((~brave(alice)<~>~kind(alice))))&... | funny(fred) | [] | null | 0 |
If someone is either not old or patient then john is creative or not quiet and vice versa. Everyone who is calm or tall is not tall. If paul is not strong or creative then someone is either quiet or not curious and vice versa. Everyone who is not brave or quiet is both not generous and funny. Everyone who is either qui... | Mary is not quiet. | entailment | ((?[X]:((~old(X)<~>patient(X))))<=>((creative(john)|~quiet(john))))&
(![X]:((calm(X)|tall(X))=>~tall(X)))&
(((~strong(paul)|creative(paul)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~generous(X)&funny(X))))&
(![X]:((quiet(X)<~>creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((old(X)<~>~old(X))<=... | ~quiet(mary) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9139760153262181000830424
% SZS output start Proof for 9139760153262181000830424
4. ! [X0] : ((quiet(X0) | ~brave(X0)) => (funny(X0) & ~generous(X0))) [input p3]
17. ~funny(mary) [input p16]
20. quiet(mary) [input hypothesis]
21. ! [X0] : (quiet(X0) => (funny(X0) & ~generous(X0))) [pure p... | 0 |
Everyone who is both not wise and happy is both not old and curious.
If someone is both not wise and old then lucy is both not strong and not rich and vice versa.
Everyone who is not happy or creative is both not tall and funny.
Everyone who is not old or not humble is both kind and not curious.
If john is not old then... | Alice is calm. | neutral | (![X]:((~wise(X)&happy(X))=>(~old(X)&curious(X))))&
((?[X]:((~wise(X)&old(X))))<=>((~strong(lucy)&~rich(lucy))))&
(![X]:((~happy(X)|creative(X))=>(~tall(X)&funny(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&~curious(X))))&
((~old(john))=>((~patient(lucy)&old(lucy))))&
(![X]:((wise(X)|~rich(X))=>(~rich(X)&~old(X))))&
(!... | calm(alice) | [] | null | 0 |
Everyone who is both not strong and not curious is either not calm or not patient.
If someone is either not patient or not happy then alice is not curious.
Everyone who is rich is both rich and brave and vice versa.
If someone is not calm or old then susan is either not creative or not calm and vice versa.
If alice is ... | Susan is not creative. | neutral | (![X]:((~strong(X)&~curious(X))=>(~calm(X)<~>~patient(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>(~curious(alice)))&
(![X]:(rich(X)<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~strong(john))))&
((?[X]:(kind(X)))=>((happy(m... | ~creative(susan) | [] | null | 0 |
Everyone who is not rich or patient is both not generous and wise and vice versa. Everyone who is both not funny and not kind is not calm and vice versa. Everyone who is either brave or not kind is not tall or humble. If mary is not old then someone is not quiet and vice versa. Everyone who is calm is not generous or n... | Mary is old. | neutral | (![X]:((~rich(X)|patient(X))<=>(~generous(X)&wise(X))))&
(![X]:((~funny(X)&~kind(X))<=>~calm(X)))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)|humble(X))))&
((~old(mary))<=>(?[X]:(~quiet(X))))&
(![X]:(calm(X)<=>(~generous(X)|~curious(X))))&
(![X]:(~happy(X)<=>(~brave(X)|humble(X))))&
(![X]:((~creative(X)|funny(X))=>(tall(X... | old(mary) | [] | null | 0 |
If paul is both curious and not funny then someone is either not calm or quiet. Everyone who is either not patient or not rich is either kind or wise. If someone is either wise or curious then susan is either quiet or wise and vice versa. If someone is not strong then someone is either generous or not tall and vice ver... | Mary is kind. | neutral | (((curious(paul)&~funny(paul)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))=>(kind(X)<~>wise(X))))&
((?[X]:((wise(X)<~>curious(X))))<=>((quiet(susan)<~>wise(susan))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(((happy(mary)|~calm(mary)))=>((rich(mary)<~>~funny(mary))))&
(![X]:((~... | kind(mary) | [] | null | 0 |
If someone is quiet or not rich then someone is not old or happy and vice versa. Everyone who is wise or curious is not quiet. Everyone who is quiet is either strong or not humble. If alice is not curious then someone is both kind and not calm. Everyone who is both wise and not kind is old or kind and vice versa. Every... | Mary is generous. | contradiction | ((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((wise(X)|curious(X))=>~quiet(X)))&
(![X]:(quiet(X)=>(strong(X)<~>~humble(X))))&
((~curious(alice))=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((wise(X)&~kind(X))<=>(old(X)|kind(X))))&
(![X]:((creative(X)&humble(X))=>~old(X)))&
((?[X]:((~tall(X)|quiet(X))))=... | generous(mary) | [
"p4",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4760093458260560144404026
% SZS output start Proof for 4760093458260560144404026
5. ! [X0] : ((~kind(X0) & wise(X0)) <=> (kind(X0) | old(X0))) [input p4]
9. ! [X0] : (old(X0) => (~generous(X0) | ~happy(X0))) [input p8]
11. ! [X0] : ((generous(X0) | calm(X0)) <=> (wise(X0) | ~generous(X0))... | 0 |
If someone is generous then paul is kind and vice versa.
Everyone who is not funny or not patient is not rich and vice versa.
Everyone who is not patient or not curious is not happy and vice versa.
If john is happy or not creative then someone is wise.
Everyone who is not tall or rich is not rich and vice versa.
Everyo... | Fred is not old. | entailment | ((?[X]:(generous(X)))<=>(kind(paul)))&
(![X]:((~funny(X)|~patient(X))<=>~rich(X)))&
(![X]:((~patient(X)|~curious(X))<=>~happy(X)))&
(((happy(john)|~creative(john)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|rich(X))<=>~rich(X)))&
(![X]:((~happy(X)<~>~old(X))<=>calm(X)))&
(((brave(mary)&old(mary)))<=>(?[X]:((~strong(X)<~>bra... | ~old(fred) | [
"p4",
"p5",
"p8",
"p11",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 157971922059592299161112
% SZS output start Proof for 157971922059592299161112
5. ! [X0] : ((rich(X0) | ~tall(X0)) <=> ~rich(X0)) [input p4]
6. ! [X0] : ((~happy(X0) <~> ~old(X0)) <=> calm(X0)) [input p5]
9. ? [X0] : (calm(X0) & creative(X0)) <=> ? [X0] : (quiet(X0) <~> ~calm(X0)) [input ... | 0 |
If someone is kind then mary is both wise and not calm. If john is both not calm and quiet then someone is not creative and vice versa. If john is humble or not creative then someone is both not quiet and funny and vice versa. Everyone who is tall or funny is both kind and happy. Everyone who is rich is either not funn... | Paul is not curious. | contradiction | ((?[X]:(kind(X)))=>((wise(mary)&~calm(mary))))&
(((~calm(john)&quiet(john)))<=>(?[X]:(~creative(X))))&
(((humble(john)|~creative(john)))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:((tall(X)|funny(X))=>(kind(X)&happy(X))))&
(![X]:(rich(X)<=>(~funny(X)<~>~happy(X))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((funny(X)<~>tal... | ~curious(paul) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4880689636889851825813974
% SZS output start Proof for 4880689636889851825813974
1. ? [X0] : kind(X0) => (~calm(mary) & wise(mary)) [input p0]
4. ! [X0] : ((funny(X0) | tall(X0)) => (happy(X0) & kind(X0))) [input p3]
6. ? [X0] : (~curious(X0) | tall(X0)) <=> ? [X0] : (funny(X0) <~> tall(X... | 0 |
Everyone who is patient is both not humble and tall and vice versa.
If john is both not creative and quiet then paul is strong or brave.
If lucy is either strong or not quiet then mary is not happy or not rich and vice versa.
If someone is both not generous and rich then paul is not tall or not creative and vice versa.... | Paul is strong. | neutral | (![X]:(patient(X)<=>(~humble(X)&tall(X))))&
(((~creative(john)&quiet(john)))=>((strong(paul)|brave(paul))))&
(((strong(lucy)<~>~quiet(lucy)))<=>((~happy(mary)|~rich(mary))))&
((?[X]:((~generous(X)&rich(X))))<=>((~tall(paul)|~creative(paul))))&
(![X]:((~creative(X)<~>calm(X))<=>(~happy(X)&happy(X))))&
(((~wise(john)|~ca... | strong(paul) | [] | null | 0 |
Everyone who is not kind is calm or patient and vice versa. Everyone who is not rich or not humble is both strong and tall and vice versa. If someone is both wise and curious then someone is wise. Everyone who is both calm and not wise is both tall and brave and vice versa. Everyone who is not kind or old is either bra... | Lucy is not creative. | contradiction | (![X]:(~kind(X)<=>(calm(X)|patient(X))))&
(![X]:((~rich(X)|~humble(X))<=>(strong(X)&tall(X))))&
((?[X]:((wise(X)&curious(X))))=>(?[X]:(wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(tall(X)&brave(X))))&
(![X]:((~kind(X)|old(X))=>(brave(X)<~>~rich(X))))&
((~patient(susan))=>((brave(alice)|generous(alice))))&
(![X]:((curious(X... | ~creative(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8141982672338253057404451
% SZS output start Proof for 8141982672338253057404451
2. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (tall(X0) & strong(X0))) [input p1]
4. ! [X0] : ((~wise(X0) & calm(X0)) <=> (brave(X0) & tall(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~kind(X0)) => (brave(X0) <~> ~... | 0 |
Everyone who is either not rich or calm is either tall or not curious.
If someone is not kind or not wise then lucy is calm or not quiet and vice versa.
Everyone who is both not strong and not funny is both tall and humble.
Everyone who is both wise and rich is either kind or tall.
Everyone who is either not calm or ta... | John is not rich. | neutral | (![X]:((~rich(X)<~>calm(X))=>(tall(X)<~>~curious(X))))&
((?[X]:((~kind(X)|~wise(X))))<=>((calm(lucy)|~quiet(lucy))))&
(![X]:((~strong(X)&~funny(X))=>(tall(X)&humble(X))))&
(![X]:((wise(X)&rich(X))=>(kind(X)<~>tall(X))))&
(![X]:((~calm(X)<~>tall(X))=>(~brave(X)&humble(X))))&
(![X]:(~happy(X)=>(wise(X)|calm(X))))&
(![X]:... | ~rich(john) | [] | null | 0 |
Everyone who is not rich or humble is patient or wise.
If alice is tall or not patient then someone is both quiet and patient and vice versa.
Everyone who is not calm is both not patient and curious and vice versa.
If lucy is both not wise and wise then someone is wise or not quiet and vice versa.
Everyone who is both ... | Alice is not calm. | contradiction | (![X]:((~rich(X)|humble(X))=>(patient(X)|wise(X))))&
(((tall(alice)|~patient(alice)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(~calm(X)<=>(~patient(X)&curious(X))))&
(((~wise(lucy)&wise(lucy)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&~funny(X))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~ol... | ~calm(alice) | [
"p0",
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 750810919470278792354126
% SZS output start Proof for 750810919470278792354126
1. ! [X0] : ((humble(X0) | ~rich(X0)) => (wise(X0) | patient(X0))) [input p0]
3. ! [X0] : (~calm(X0) <=> (curious(X0) & ~patient(X0))) [input p2]
10. ! [X0] : ((~rich(X0) <~> ~tall(X0)) <=> (calm(X0) | tall(X0)... | 0 |
If john is both not strong and not rich then susan is funny or not patient and vice versa.
Everyone who is humble or happy is funny or happy.
Everyone who is either quiet or calm is tall or not quiet and vice versa.
If alice is either not quiet or curious then someone is either not wise or funny and vice versa.
If fred... | Susan is kind. | contradiction | (((~strong(john)&~rich(john)))<=>((funny(susan)|~patient(susan))))&
(![X]:((humble(X)|happy(X))=>(funny(X)|happy(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall(fred))=>((brave(fred)&strong(fred))))&
(![X]:((wise(X)|~tall(X))<=>ki... | kind(susan) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2977820791954163749723073
% SZS output start Proof for 2977820791954163749723073
8. ! [X0] : ((generous(X0) | kind(X0)) => (wise(X0) & humble(X0))) [input p7]
10. ! [X0] : (humble(X0) <=> (creative(X0) & ~kind(X0))) [input p9]
25. kind(susan) [input hypothesis]
30. ! [X0] : ((wise(X0) & h... | 0 |
Everyone who is both not rich and not kind is not creative and vice versa. Everyone who is either old or not brave is happy or strong and vice versa. If fred is both not brave and calm then someone is either humble or not patient and vice versa. If mary is either not wise or not strong then someone is either patient or... | Fred is not brave. | neutral | (![X]:((~rich(X)&~kind(X))<=>~creative(X)))&
(![X]:((old(X)<~>~brave(X))<=>(happy(X)|strong(X))))&
(((~brave(fred)&calm(fred)))<=>(?[X]:((humble(X)<~>~patient(X)))))&
(((~wise(mary)<~>~strong(mary)))=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((~tall(X)&tall(X))<=>strong(X)))&
((~humble(fred))<=>(?[X]:((~curious(X)|old(... | ~brave(fred) | [] | null | 0 |
Everyone who is both old and not calm is not wise or curious and vice versa. Everyone who is not generous is patient or rich and vice versa. If someone is either not old or brave then mary is both rich and happy and vice versa. Everyone who is not rich is both creative and brave and vice versa. Everyone who is not rich... | Susan is not rich. | contradiction | (![X]:((old(X)&~calm(X))<=>(~wise(X)|curious(X))))&
(![X]:(~generous(X)<=>(patient(X)|rich(X))))&
((?[X]:((~old(X)<~>brave(X))))<=>((rich(mary)&happy(mary))))&
(![X]:(~rich(X)<=>(creative(X)&brave(X))))&
(![X]:(~rich(X)=>(~patient(X)<~>generous(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((tall(susan)<~>~humble(susan)... | ~rich(susan) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 916524459900352945290516
% SZS output start Proof for 916524459900352945290516
2. ! [X0] : (~generous(X0) <=> (rich(X0) | patient(X0))) [input p1]
5. ! [X0] : (~rich(X0) => (~patient(X0) <~> generous(X0))) [input p4]
23. ~rich(susan) [input hypothesis]
26. ! [X0] : ((~patient(X0) <~> gene... | 0 |
If someone is both not happy and not curious then someone is both not rich and brave.
Everyone who is not curious or creative is either not generous or not happy.
If paul is brave then someone is not strong.
Everyone who is either not brave or rich is not happy or happy.
Everyone who is kind or not brave is not creativ... | Paul is not brave. | entailment | ((?[X]:((~happy(X)&~curious(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~curious(X)|creative(X))=>(~generous(X)<~>~happy(X))))&
((brave(paul))=>(?[X]:(~strong(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~happy(X)|happy(X))))&
(![X]:((kind(X)|~brave(X))<=>~creative(X)))&
(![X]:((~kind(X)|curious(X))=>~humble(X)))&
(![X]:((~... | ~brave(paul) | [
"p2",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9184397220459857923888901
% SZS output start Proof for 9184397220459857923888901
3. brave(paul) => ? [X0] : ~strong(X0) [input p2]
11. ! [X0] : ((tall(X0) | curious(X0)) => ~brave(X0)) [input p10]
15. ? [X0] : ~strong(X0) => ? [X0] : (brave(X0) & strong(X0)) [input p14]
16. ! [X0] : ((~cu... | 0 |
Everyone who is both generous and not patient is not old and vice versa. If someone is not patient then john is either creative or not happy and vice versa. Everyone who is not brave is humble or not calm and vice versa. Everyone who is not rich is calm or happy and vice versa. Everyone who is curious or not funny is b... | John is rich. | contradiction | (![X]:((generous(X)&~patient(X))<=>~old(X)))&
((?[X]:(~patient(X)))<=>((creative(john)<~>~happy(john))))&
(![X]:(~brave(X)<=>(humble(X)|~calm(X))))&
(![X]:(~rich(X)<=>(calm(X)|happy(X))))&
(![X]:((curious(X)|~funny(X))=>(~happy(X)&rich(X))))&
(![X]:((~generous(X)|~wise(X))=>happy(X)))&
((?[X]:((wise(X)<~>~tall(X))))<=>... | rich(john) | [
"p0",
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6542993893044606377780388
% SZS output start Proof for 6542993893044606377780388
1. ! [X0] : ((~patient(X0) & generous(X0)) <=> ~old(X0)) [input p0]
4. ! [X0] : (~rich(X0) <=> (happy(X0) | calm(X0))) [input p3]
6. ! [X0] : ((~wise(X0) | ~generous(X0)) => happy(X0)) [input p5]
10. ! [X0] :... | 0 |
Everyone who is happy is quiet or curious and vice versa.
Everyone who is not strong or generous is both not humble and not patient.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich... | John is old. | entailment | (![X]:(happy(X)<=>(quiet(X)|curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)&~patient(X))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?... | old(john) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2949389495474284284145888
% SZS output start Proof for 2949389495474284284145888
3. ! [X0] : (~humble(X0) <=> (~wise(X0) <~> ~humble(X0))) [input p2]
8. ! [X0] : (creative(X0) => ~wise(X0)) [input p7]
9. ! [X0] : (~old(X0) => (generous(X0) & creative(X0))) [input p8]
23. ~old(john) [input... | 0 |
Everyone who is both not strong and curious is both not curious and not brave.
Everyone who is generous or not rich is tall.
If someone is either not rich or not creative then alice is happy and vice versa.
Everyone who is both wise and rich is creative.
If someone is generous then someone is both calm and strong.
If m... | Mary is not brave. | entailment | (![X]:((~strong(X)&curious(X))=>(~curious(X)&~brave(X))))&
(![X]:((generous(X)|~rich(X))=>tall(X)))&
((?[X]:((~rich(X)<~>~creative(X))))<=>(happy(alice)))&
(![X]:((wise(X)&rich(X))=>creative(X)))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)&strong(X)))))&
(((calm(mary)<~>~strong(mary)))<=>((~wise(alice)&old(alice))))&
(((ta... | ~brave(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 205317833217289544059034
% SZS output start Proof for 205317833217289544059034
12. ! [X0] : ((~brave(X0) <~> calm(X0)) <=> ~calm(X0)) [input p11]
22. brave(mary) [input hypothesis]
53. ! [X0] : ((((~calm(X0) | brave(X0)) & (calm(X0) | ~brave(X0))) | calm(X0)) & (~calm(X0) | ((~brave(X0) |... | 0 |
If susan is not curious then alice is old or calm.
If susan is not patient or tall then susan is both not humble and not kind.
If someone is wise then john is both not generous and not creative.
Everyone who is not generous is happy.
Everyone who is either not humble or wise is humble.
If someone is either not calm or ... | Susan is tall. | contradiction | ((~curious(susan))=>((old(alice)|calm(alice))))&
(((~patient(susan)|tall(susan)))=>((~humble(susan)&~kind(susan))))&
((?[X]:(wise(X)))=>((~generous(john)&~creative(john))))&
(![X]:(~generous(X)=>happy(X)))&
(![X]:((~humble(X)<~>wise(X))=>humble(X)))&
((?[X]:((~calm(X)<~>patient(X))))<=>((~strong(john)|~happy(john))))&
... | tall(susan) | [
"p1",
"p2",
"p3",
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5709093595283423489175073
% SZS output start Proof for 5709093595283423489175073
2. (tall(susan) | ~patient(susan)) => (~kind(susan) & ~humble(susan)) [input p1]
3. ? [X0] : wise(X0) => (~creative(john) & ~generous(john)) [input p2]
4. ! [X0] : (~generous(X0) => happy(X0)) [input p3]
5. !... | 0 |
If someone is curious then someone is patient and vice versa. If alice is either tall or not tall then someone is kind or happy and vice versa. If paul is either not humble or not rich then someone is both not tall and not generous and vice versa. Everyone who is either not calm or brave is not tall. If someone is eith... | John is not curious. | neutral | ((?[X]:(curious(X)))<=>(?[X]:(patient(X))))&
(((tall(alice)<~>~tall(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~calm(X)<~>brave(X))=>~tall(X)))&
((?[X]:((~calm(X)<~>~creative(X))))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((~patient(X)<~>funny(X... | ~curious(john) | [] | null | 0 |
Everyone who is both not humble and old is wise or funny.
Everyone who is happy or not funny is either not kind or not rich and vice versa.
If someone is not strong or strong then fred is both creative and not generous and vice versa.
If alice is patient or not calm then someone is either not creative or old and vice v... | Fred is not happy. | entailment | (![X]:((~humble(X)&old(X))=>(wise(X)|funny(X))))&
(![X]:((happy(X)|~funny(X))<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)|strong(X))))<=>((creative(fred)&~generous(fred))))&
(((patient(alice)|~calm(alice)))<=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:(~old(X)=>(~strong(X)&funny(X))))&
(![X]:((~tall(X)&~generous(X))=>... | ~happy(fred) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8900032654898409138259440
% SZS output start Proof for 8900032654898409138259440
3. ? [X0] : (strong(X0) | ~strong(X0)) <=> (~generous(fred) & creative(fred)) [input p2]
5. ! [X0] : (~old(X0) => (funny(X0) & ~strong(X0))) [input p4]
8. ! [X0] : (creative(X0) <=> (~tall(X0) & ~rich(X0))) [... | 0 |
Everyone who is not curious or not funny is not calm or happy.
Everyone who is not quiet or not humble is not brave or old and vice versa.
If someone is both humble and old then john is tall and vice versa.
Everyone who is not humble is not happy.
Everyone who is either not wise or not brave is both tall and not tall a... | Alice is not generous. | entailment | (![X]:((~curious(X)|~funny(X))=>(~calm(X)|happy(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~brave(X)|old(X))))&
((?[X]:((humble(X)&old(X))))<=>(tall(john)))&
(![X]:(~humble(X)=>~happy(X)))&
(![X]:((~wise(X)<~>~brave(X))<=>(tall(X)&~tall(X))))&
(![X]:(funny(X)<=>(~humble(X)|~old(X))))&
((?[X]:((humble(X)|~old(X))))=>((brav... | ~generous(alice) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5526500798021387318980005
% SZS output start Proof for 5526500798021387318980005
12. ! [X0] : (~creative(X0) <=> (humble(X0) | generous(X0))) [input p11]
17. ~patient(alice) & creative(alice) [input p16]
24. generous(alice) [input hypothesis]
53. ! [X0] : ((~creative(X0) | (~humble(X0) & ... | 0 |
Everyone who is not calm or kind is either not brave or not quiet. Everyone who is not humble is either not calm or humble and vice versa. If susan is not brave or not rich then someone is old and vice versa. Everyone who is quiet or not rich is happy and vice versa. Everyone who is both funny and not kind is both rich... | John is not kind. | neutral | (![X]:((~calm(X)|kind(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:(~humble(X)<=>(~calm(X)<~>humble(X))))&
(((~brave(susan)|~rich(susan)))<=>(?[X]:(old(X))))&
(![X]:((quiet(X)|~rich(X))<=>happy(X)))&
(![X]:((funny(X)&~kind(X))=>(rich(X)&~kind(X))))&
((?[X]:((brave(X)<~>kind(X))))<=>(?[X]:((tall(X)<~>patient(X)))))&
(![X]:(~cu... | ~kind(john) | [] | null | 0 |
If alice is either not rich or not curious then fred is wise or not curious.
If paul is both not tall and not rich then someone is both tall and not kind.
Everyone who is not strong is humble.
If mary is curious or patient then someone is either curious or calm and vice versa.
If someone is curious then someone is eith... | Alice is not curious. | contradiction | (((~rich(alice)<~>~curious(alice)))=>((wise(fred)|~curious(fred))))&
(((~tall(paul)&~rich(paul)))=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:(~strong(X)=>humble(X)))&
(((curious(mary)|patient(mary)))<=>(?[X]:((curious(X)<~>calm(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((funny(X)<~>wise(X)))))&
(![X]:((~wise(X)&calm(X))<=>(~tall(... | ~curious(alice) | [
"p7",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5402336501918188515994343
% SZS output start Proof for 5402336501918188515994343
8. ! [X0] : ((~curious(X0) <~> ~funny(X0)) <=> generous(X0)) [input p7]
9. ? [X0] : (~funny(X0) <~> generous(X0)) => (brave(susan) & ~brave(susan)) [input p8]
17. ~rich(alice) & generous(alice) [input p16]
25... | 0 |
Everyone who is both not kind and kind is creative and vice versa. If mary is calm then someone is either not brave or not humble and vice versa. Everyone who is not humble or brave is either not funny or not brave. Everyone who is old or kind is funny and vice versa. Everyone who is both rich and not tall is not funny... | John is old. | entailment | (![X]:((~kind(X)&kind(X))<=>creative(X)))&
((calm(mary))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:((~humble(X)|brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((old(X)|kind(X))<=>funny(X)))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mar... | old(john) | [
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4317651837170478189650198
% SZS output start Proof for 4317651837170478189650198
4. ! [X0] : ((kind(X0) | old(X0)) <=> funny(X0)) [input p3]
5. ! [X0] : ((~tall(X0) & rich(X0)) <=> (kind(X0) | ~funny(X0))) [input p4]
6. ! [X0] : ((rich(X0) & ~old(X0)) => (~curious(X0) & ~rich(X0))) [input... | 0 |
Everyone who is both not humble and not creative is not tall or not strong and vice versa.
If john is both old and not happy then john is either curious or not wise.
If someone is either strong or happy then mary is humble or creative and vice versa.
If someone is either strong or not curious then susan is either not c... | Mary is not funny. | contradiction | (![X]:((~humble(X)&~creative(X))<=>(~tall(X)|~strong(X))))&
(((old(john)&~happy(john)))=>((curious(john)<~>~wise(john))))&
((?[X]:((strong(X)<~>happy(X))))<=>((humble(mary)|creative(mary))))&
((?[X]:((strong(X)<~>~curious(X))))<=>((~creative(susan)<~>humble(susan))))&
(((~patient(fred)|kind(fred)))=>(?[X]:(~tall(X))))&... | ~funny(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8107313809611425110252669
% SZS output start Proof for 8107313809611425110252669
7. ! [X0] : (kind(X0) <=> (funny(X0) <~> ~kind(X0))) [input p6]
24. ~funny(mary) [input hypothesis]
54. ! [X0] : ((kind(X0) | ((funny(X0) | kind(X0)) & (~kind(X0) | ~funny(X0)))) & (((kind(X0) | ~funny(X0)) &... | 0 |
Everyone who is not generous is not quiet or not generous.
Everyone who is both strong and patient is not patient or not humble and vice versa.
Everyone who is either not rich or old is strong or not curious and vice versa.
Everyone who is curious or quiet is either not happy or not brave.
Everyone who is tall is both ... | Mary is patient. | entailment | (![X]:(~generous(X)=>(~quiet(X)|~generous(X))))&
(![X]:((strong(X)&patient(X))<=>(~patient(X)|~humble(X))))&
(![X]:((~rich(X)<~>old(X))<=>(strong(X)|~curious(X))))&
(![X]:((curious(X)|quiet(X))=>(~happy(X)<~>~brave(X))))&
(![X]:(tall(X)<=>(strong(X)&tall(X))))&
(((tall(alice)<~>~brave(alice)))=>(?[X]:((kind(X)<~>brave(... | patient(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3926388073622278363670507
% SZS output start Proof for 3926388073622278363670507
2. ! [X0] : ((patient(X0) & strong(X0)) <=> (~humble(X0) | ~patient(X0))) [input p1]
25. ~patient(mary) [input hypothesis]
40. ! [X0] : (((patient(X0) & strong(X0)) | (humble(X0) & patient(X0))) & ((~humble(X... | 0 |
If lucy is old then someone is rich or not old and vice versa.
If someone is quiet or wise then someone is not brave and vice versa.
If susan is not happy or not wise then lucy is either kind or not old.
If someone is curious then someone is both happy and not happy.
Everyone who is old is humble and vice versa.
If som... | Paul is patient. | contradiction | ((old(lucy))<=>(?[X]:((rich(X)|~old(X)))))&
((?[X]:((quiet(X)|wise(X))))<=>(?[X]:(~brave(X))))&
(((~happy(susan)|~wise(susan)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:(curious(X)))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]... | patient(paul) | [
"p4",
"p6",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 670727986382407383079802
% SZS output start Proof for 670727986382407383079802
5. ! [X0] : (old(X0) <=> humble(X0)) [input p4]
7. ! [X0] : ((humble(X0) <~> happy(X0)) <=> (brave(X0) & ~tall(X0))) [input p6]
8. ! [X0] : (~tall(X0) <=> ~humble(X0)) [input p7]
12. ! [X0] : ((~old(X0) | ~quie... | 0 |
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