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 funny or not happy is either not happy or not curious.
If someone is either rich or not brave then someone is curious or strong.
Everyone who is not humble is both not humble and happy and vice versa.
If someone is either not humble or curious then susan is both not curious and humble.
Everyone who is s... | Susan is not curious. | neutral | (![X]:((funny(X)|~happy(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((rich(X)<~>~brave(X))))=>(?[X]:((curious(X)|strong(X)))))&
(![X]:(~humble(X)<=>(~humble(X)&happy(X))))&
((?[X]:((~humble(X)<~>curious(X))))=>((~curious(susan)&humble(susan))))&
(![X]:(strong(X)<=>tall(X)))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)<~>quiet... | ~curious(susan) | [] | null | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If someone is wise then lucy is either tall or generous and vice versa.
Everyone who is both not calm and rich is both not kind and calm.
Everyone who is not humble or not kind is either rich or happy and vice versa.
If mary is happy... | John is not rich. | entailment | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((?[X]:(wise(X)))<=>((tall(lucy)<~>generous(lucy))))&
(![X]:((~calm(X)&rich(X))=>(~kind(X)&calm(X))))&
(![X]:((~humble(X)|~kind(X))<=>(rich(X)<~>happy(X))))&
((happy(mary))=>((brave(lucy)|patient(lucy))))&
(![X]:(~tall(X)=>brave(X)))&
(![X]:((~happy(X)|~strong... | ~rich(john) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4049995464684319868971268
% SZS output start Proof for 4049995464684319868971268
3. ! [X0] : ((rich(X0) & ~calm(X0)) => (calm(X0) & ~kind(X0))) [input p2]
20. generous(john) & ~calm(john) [input p19]
25. rich(john) [input hypothesis]
27. ! [X0] : ((calm(X0) & ~kind(X0)) | (~rich(X0) | cal... | 0 |
Everyone who is not tall is both wise and not calm and vice versa.
If alice is both rich and kind then alice is not rich and vice versa.
If someone is both not curious and humble then someone is both patient and humble.
Everyone who is both quiet and not calm is not old or humble.
If someone is either not wise or gener... | Susan is not tall. | contradiction | (![X]:(~tall(X)<=>(wise(X)&~calm(X))))&
(((rich(alice)&kind(alice)))<=>(~rich(alice)))&
((?[X]:((~curious(X)&humble(X))))=>(?[X]:((patient(X)&humble(X)))))&
(![X]:((quiet(X)&~calm(X))=>(~old(X)|humble(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>((old(susan)&wise(susan))))&
((wise(susan))<=>((rich(paul)&strong(paul))))&... | ~tall(susan) | [
"p0",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8306973598449119624893315
% SZS output start Proof for 8306973598449119624893315
1. ! [X0] : (~tall(X0) <=> (~calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~strong(X0) & calm(X0))) [input p8]
22. ~strong(susan) & ~quiet(susan) [input p21]
24. ~tall(susan) [in... | 0 |
Everyone who is patient or not creative is kind or creative and vice versa.
If alice is not calm or curious then someone is not curious or not old and vice versa.
Everyone who is humble is either not tall or not old.
If someone is not old then someone is either not brave or quiet and vice versa.
Everyone who is old is ... | Fred is not brave. | neutral | (![X]:((patient(X)|~creative(X))<=>(kind(X)|creative(X))))&
(((~calm(alice)|curious(alice)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:(... | ~brave(fred) | [] | null | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | Mary is wise. | contradiction | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | wise(mary) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7734757840192493707494405
% SZS output start Proof for 7734757840192493707494405
2. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (brave(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~creative(X0)) <=> (generous(X0) <~> ~brave(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | ~curious(X0)) ... | 0 |
Everyone who is not generous or humble is either not brave or not generous. Everyone who is not old or not rich is either not funny or generous. If someone is generous or not funny then someone is not old or not tall and vice versa. If someone is either not humble or not strong then someone is either not happy or calm.... | Paul is funny. | entailment | (![X]:((~generous(X)|humble(X))=>(~brave(X)<~>~generous(X))))&
(![X]:((~old(X)|~rich(X))=>(~funny(X)<~>generous(X))))&
((?[X]:((generous(X)|~funny(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((~humble(X)<~>~strong(X))))=>(?[X]:((~happy(X)<~>calm(X)))))&
(((~rich(lucy)&rich(lucy)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]... | funny(paul) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 959481665483421344574988
% SZS output start Proof for 959481665483421344574988
3. ? [X0] : (~funny(X0) | generous(X0)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p2]
5. (rich(lucy) & ~rich(lucy)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p4]
21. ~funny(paul) [input hypothesis]
22. ? [X0]... | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | Susan is creative. | contradiction | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | creative(susan) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5582859990532882130414872
% SZS output start Proof for 5582859990532882130414872
1. ! [X0] : ((~generous(X0) | happy(X0)) <=> old(X0)) [input p0]
7. ? [X0] : (~patient(X0) | creative(X0)) => ? [X0] : (brave(X0) <~> ~old(X0)) [input p6]
11. ! [X0] : ((old(X0) | ~old(X0)) => (~funny(X0) & ~... | 0 |
Everyone who is both not patient and humble is both happy and tall and vice versa.
Everyone who is calm is either not wise or happy and vice versa.
Everyone who is kind or not calm is not generous and vice versa.
If someone is not happy then paul is creative or not creative.
If someone is creative or not curious then s... | Paul is funny. | contradiction | (![X]:((~patient(X)&humble(X))<=>(happy(X)&tall(X))))&
(![X]:(calm(X)<=>(~wise(X)<~>happy(X))))&
(![X]:((kind(X)|~calm(X))<=>~generous(X)))&
((?[X]:(~happy(X)))=>((creative(paul)|~creative(paul))))&
((?[X]:((creative(X)|~curious(X))))=>(?[X]:((humble(X)&strong(X)))))&
(![X]:((kind(X)&~generous(X))=>creative(X)))&
((?[X... | funny(paul) | [
"p4",
"p6",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2989099403334167476112058
% SZS output start Proof for 2989099403334167476112058
5. ? [X0] : (~curious(X0) | creative(X0)) => ? [X0] : (strong(X0) & humble(X0)) [input p4]
7. ? [X0] : (wise(X0) & calm(X0)) <=> ? [X0] : (~calm(X0) & curious(X0)) [input p6]
9. ! [X0] : (~rich(X0) => rich(X0... | 0 |
Everyone who is both generous and calm is either tall or not creative.
Everyone who is curious is not wise.
Everyone who is not creative is not tall or creative.
Everyone who is not wise is brave and vice versa.
If alice is not wise then someone is curious.
Everyone who is quiet or not rich is patient or not generous.
... | Alice is not wise. | neutral | (![X]:((generous(X)&calm(X))=>(tall(X)<~>~creative(X))))&
(![X]:(curious(X)=>~wise(X)))&
(![X]:(~creative(X)=>(~tall(X)|creative(X))))&
(![X]:(~wise(X)<=>brave(X)))&
((~wise(alice))=>(?[X]:(curious(X))))&
(![X]:((quiet(X)|~rich(X))=>(patient(X)|~generous(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(kind(X)&curious(X))))&
(!... | ~wise(alice) | [] | null | 0 |
If someone is quiet or not quiet then someone is kind.
If someone is not curious or strong then alice is not brave and vice versa.
Everyone who is both not brave and strong is calm and vice versa.
Everyone who is both curious and funny is both creative and not old.
Everyone who is either rich or brave is patient.
If so... | Alice is wise. | neutral | ((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:(kind(X))))&
((?[X]:((~curious(X)|strong(X))))<=>(~brave(alice)))&
(![X]:((~brave(X)&strong(X))<=>calm(X)))&
(![X]:((curious(X)&funny(X))=>(creative(X)&~old(X))))&
(![X]:((rich(X)<~>brave(X))=>patient(X)))&
((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[... | wise(alice) | [] | null | 0 |
If susan is rich or not happy then john is not humble or not creative. Everyone who is both not old and not wise is either not calm or not happy and vice versa. If someone is old then fred is brave. Everyone who is not generous or not old is both not brave and brave. Everyone who is not kind is either not tall or not f... | Alice is not happy. | neutral | (((rich(susan)|~happy(susan)))=>((~humble(john)|~creative(john))))&
(![X]:((~old(X)&~wise(X))<=>(~calm(X)<~>~happy(X))))&
((?[X]:(old(X)))=>(brave(fred)))&
(![X]:((~generous(X)|~old(X))=>(~brave(X)&brave(X))))&
(![X]:(~kind(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brav... | ~happy(alice) | [] | null | 0 |
Everyone who is both strong and not funny is not kind and vice versa.
Everyone who is both not quiet and creative is both wise and happy.
Everyone who is tall is not quiet and vice versa.
Everyone who is either not curious or not rich is either not wise or not generous.
Everyone who is either not creative or not calm i... | Lucy is old. | neutral | (![X]:((strong(X)&~funny(X))<=>~kind(X)))&
(![X]:((~quiet(X)&creative(X))=>(wise(X)&happy(X))))&
(![X]:(tall(X)<=>~quiet(X)))&
(![X]:((~curious(X)<~>~rich(X))=>(~wise(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>~calm(X))<=>(humble(X)|funny(X))))&
((?[X]:(~tall(X)))=>(~happy(john)))&
(![X]:(~happy(X)=>~brave(X)))&
((?[... | old(lucy) | [] | null | 0 |
If lucy is either old or quiet then someone is not funny. Everyone who is both not rich and not tall is not strong or funny and vice versa. Everyone who is both humble and not kind is kind and vice versa. Everyone who is patient is creative or not generous. Everyone who is brave or old is either not brave or not rich a... | Alice is funny. | contradiction | (((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|... | funny(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5330940985166403649792091
% SZS output start Proof for 5330940985166403649792091
3. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p2]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p5]
24. funny(alice) [input hypothesis]
45. ! [X0] : (((~kind(X0) & humble(X0)) | ~kin... | 0 |
If mary is creative then mary is not old.
If john is not rich or happy then fred is both curious and tall.
Everyone who is both not humble and not creative is tall or rich.
Everyone who is not tall is either not patient or rich.
If someone is either not brave or old then someone is either kind or not quiet and vice ver... | Mary is strong. | neutral | ((creative(mary))=>(~old(mary)))&
(((~rich(john)|happy(john)))=>((curious(fred)&tall(fred))))&
(![X]:((~humble(X)&~creative(X))=>(tall(X)|rich(X))))&
(![X]:(~tall(X)=>(~patient(X)<~>rich(X))))&
((?[X]:((~brave(X)<~>old(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((strong(X)&tall(X))=>(wise(X)|~funny(X))))&
(![X]:((t... | strong(mary) | [] | null | 0 |
Everyone who is either brave or not brave is both not calm and strong. Everyone who is either funny or rich is both funny and not humble and vice versa. If john is not old or creative then alice is either not kind or not quiet. Everyone who is either not strong or not old is funny or quiet. Everyone who is both generou... | Alice is old. | contradiction | (![X]:((brave(X)<~>~brave(X))=>(~calm(X)&strong(X))))&
(![X]:((funny(X)<~>rich(X))<=>(funny(X)&~humble(X))))&
(((~old(john)|creative(john)))=>((~kind(alice)<~>~quiet(alice))))&
(![X]:((~strong(X)<~>~old(X))=>(funny(X)|quiet(X))))&
(![X]:((generous(X)&~quiet(X))=>(patient(X)<~>brave(X))))&
((?[X]:((~tall(X)<~>wise(X))))... | old(alice) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3948840294915334740728150
% SZS output start Proof for 3948840294915334740728150
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (strong(X0) & ~calm(X0))) [input p0]
7. ? [X0] : (tall(X0) <~> ~quiet(X0)) => (~kind(susan) & calm(susan)) [input p6]
8. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (... | 0 |
Everyone who is both not old and patient is calm or funny and vice versa.
If john is funny or not brave then someone is not generous or not funny.
Everyone who is not brave or not wise is brave or calm and vice versa.
Everyone who is brave or not wise is either not creative or not humble and vice versa.
If someone is e... | Mary is calm. | contradiction | (![X]:((~old(X)&patient(X))<=>(calm(X)|funny(X))))&
(((funny(john)|~brave(john)))=>(?[X]:((~generous(X)|~funny(X)))))&
(![X]:((~brave(X)|~wise(X))<=>(brave(X)|calm(X))))&
(![X]:((brave(X)|~wise(X))<=>(~creative(X)<~>~humble(X))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:((tall(X)&~generous(X)))))&
(((brave(lucy)<~>wi... | calm(mary) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6795354922578726946918377
% SZS output start Proof for 6795354922578726946918377
1. ! [X0] : ((patient(X0) & ~old(X0)) <=> (funny(X0) | calm(X0))) [input p0]
10. ! [X0] : ((~happy(X0) | ~old(X0)) => (~calm(X0) & ~rich(X0))) [input p9]
25. calm(mary) [input hypothesis]
29. ! [X0] : ((~happ... | 0 |
If paul is both not funny and not happy then someone is not generous and vice versa.
Everyone who is not happy is not strong and vice versa.
If mary is either humble or calm then susan is both calm and not patient and vice versa.
Everyone who is not curious or brave is kind.
If mary is both not kind and not humble then... | Paul is not kind. | contradiction | (((~funny(paul)&~happy(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(((humble(mary)<~>calm(mary)))<=>((calm(susan)&~patient(susan))))&
(![X]:((~curious(X)|brave(X))=>kind(X)))&
(((~kind(mary)&~humble(mary)))<=>((creative(susan)<~>rich(susan))))&
(![X]:((calm(X)&~old(X))=>(funny(X)&happy(X))))&
(((... | ~kind(paul) | [
"p0",
"p3",
"p5",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2195418941527677936197978
% SZS output start Proof for 2195418941527677936197978
1. (~happy(paul) & ~funny(paul)) <=> ? [X0] : ~generous(X0) [input p0]
4. ! [X0] : ((brave(X0) | ~curious(X0)) => kind(X0)) [input p3]
6. ! [X0] : ((~old(X0) & calm(X0)) => (happy(X0) & funny(X0))) [input p5]... | 0 |
Everyone who is humble is both generous and not wise.
Everyone who is not curious is both not generous and curious.
Everyone who is not calm is curious or generous and vice versa.
If paul is calm then someone is not calm.
If alice is generous then someone is curious or not patient.
Everyone who is not quiet is old and ... | Lucy is not generous. | neutral | (![X]:(humble(X)=>(generous(X)&~wise(X))))&
(![X]:(~curious(X)=>(~generous(X)&curious(X))))&
(![X]:(~calm(X)<=>(curious(X)|generous(X))))&
((calm(paul))=>(?[X]:(~calm(X))))&
((generous(alice))=>(?[X]:((curious(X)|~patient(X)))))&
(![X]:(~quiet(X)<=>old(X)))&
((?[X]:(~strong(X)))<=>((rich(john)|~kind(john))))&
(((~happy... | ~generous(lucy) | [] | null | 0 |
If someone is either not creative or not generous then paul is strong or not happy. If someone is happy then susan is not generous. Everyone who is funny or not quiet is both generous and kind and vice versa. If someone is both not generous and not tall then someone is humble or not humble. Everyone who is not humble o... | Alice is not creative. | contradiction | ((?[X]:((~creative(X)<~>~generous(X))))=>((strong(paul)|~happy(paul))))&
((?[X]:(happy(X)))=>(~generous(susan)))&
(![X]:((funny(X)|~quiet(X))<=>(generous(X)&kind(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((~humble(X)|happy(X))=>(old(X)<~>tall(X))))&
(![X]:((kind(X)|humble(X))=>(~... | ~creative(alice) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 662398489104264551348966
% SZS output start Proof for 662398489104264551348966
6. ! [X0] : ((humble(X0) | kind(X0)) => (old(X0) & ~curious(X0))) [input p5]
7. ! [X0] : (old(X0) => (curious(X0) & humble(X0))) [input p6]
13. (creative(alice) | old(alice)) <=> ~kind(alice) [input p12]
23. ~c... | 0 |
Everyone who is either strong or not creative is either not brave or funny and vice versa. If someone is both brave and funny then alice is funny or not humble and vice versa. Everyone who is not happy or wise is either not calm or not tall and vice versa. If john is both not wise and funny then susan is either not str... | Susan is not funny. | entailment | (![X]:((strong(X)<~>~creative(X))<=>(~brave(X)<~>funny(X))))&
((?[X]:((brave(X)&funny(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((~happy(X)|wise(X))<=>(~calm(X)<~>~tall(X))))&
(((~wise(john)&funny(john)))<=>((~strong(susan)<~>~kind(susan))))&
((?[X]:((generous(X)|~kind(X))))=>(~brave(susan)))&
(![X]:(brave(X)<=>(... | ~funny(susan) | [
"p0",
"p2",
"p4",
"p11",
"p13",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5216317379702516486174917
% SZS output start Proof for 5216317379702516486174917
1. ! [X0] : ((strong(X0) <~> ~creative(X0)) <=> (~brave(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~happy(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p2]
5. ? [X0] : (~kind(X0) | generous(X0)) => ... | 0 |
Everyone who is creative or patient is curious and vice versa.
Everyone who is either rich or wise is either not creative or strong.
Everyone who is kind or old is both not funny and generous and vice versa.
Everyone who is not humble is both kind and happy and vice versa.
Everyone who is not curious is both rich and b... | Lucy is quiet. | neutral | (![X]:((creative(X)|patient(X))<=>curious(X)))&
(![X]:((rich(X)<~>wise(X))=>(~creative(X)<~>strong(X))))&
(![X]:((kind(X)|old(X))<=>(~funny(X)&generous(X))))&
(![X]:(~humble(X)<=>(kind(X)&happy(X))))&
(![X]:(~curious(X)=>(rich(X)&brave(X))))&
(![X]:(rich(X)<=>(~patient(X)<~>wise(X))))&
(![X]:((~happy(X)&funny(X))=>(~wi... | quiet(lucy) | [] | null | 0 |
If fred is either not tall or not kind then susan is both brave and curious.
Everyone who is either not wise or not humble is not generous or not old and vice versa.
Everyone who is either curious or not strong is either funny or not calm.
If someone is both generous and happy then susan is both funny and not creative.... | Paul is curious. | neutral | (((~tall(fred)<~>~kind(fred)))=>((brave(susan)&curious(susan))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~generous(X)|~old(X))))&
(![X]:((curious(X)<~>~strong(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((generous(X)&happy(X))))=>((funny(susan)&~creative(susan))))&
(![X]:(humble(X)<=>(wise(X)|happy(X))))&
((?[X]:((old(X)&quiet(X))... | curious(paul) | [] | null | 0 |
If alice is quiet or generous then someone is both quiet and patient.
Everyone who is both not patient and not humble is generous or not quiet and vice versa.
If fred is not rich or calm then alice is not humble and vice versa.
Everyone who is both not calm and kind is quiet or happy and vice versa.
If fred is both not... | Mary is funny. | contradiction | (((quiet(alice)|generous(alice)))=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:((~patient(X)&~humble(X))<=>(generous(X)|~quiet(X))))&
(((~rich(fred)|calm(fred)))<=>(~humble(alice)))&
(![X]:((~calm(X)&kind(X))<=>(quiet(X)|happy(X))))&
(((~quiet(fred)&wise(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~calm(X)<~>~wise(X))=>rich(X)))&
... | funny(mary) | [
"p1",
"p3",
"p6",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2266123083334653724845975
% SZS output start Proof for 2266123083334653724845975
2. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~quiet(X0) | generous(X0))) [input p1]
4. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (happy(X0) | quiet(X0))) [input p3]
7. ? [X0] : ~happy(X0) => (~wise(mary) & ~funn... | 0 |
Everyone who is both wise and not brave is either not strong or wise.
Everyone who is either not funny or generous is not happy or creative and vice versa.
Everyone who is not generous or not wise is both brave and not curious and vice versa.
Everyone who is both curious and kind is quiet or not patient and vice versa.... | Alice is not wise. | contradiction | (![X]:((wise(X)&~brave(X))=>(~strong(X)<~>wise(X))))&
(![X]:((~funny(X)<~>generous(X))<=>(~happy(X)|creative(X))))&
(![X]:((~generous(X)|~wise(X))<=>(brave(X)&~curious(X))))&
(![X]:((curious(X)&kind(X))<=>(quiet(X)|~patient(X))))&
(((~curious(alice)|~kind(alice)))=>(?[X]:((creative(X)&humble(X)))))&
(![X]:((patient(X)<... | ~wise(alice) | [
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 758513897376979454056105
% SZS output start Proof for 758513897376979454056105
3. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> (~curious(X0) & brave(X0))) [input p2]
7. ! [X0] : (~generous(X0) <=> (generous(X0) & ~kind(X0))) [input p6]
10. ! [X0] : (~kind(X0) <=> ~curious(X0)) [input p9]
23.... | 0 |
If fred is old or patient then john is either creative or not creative. Everyone who is not old or creative is both not rich and not humble. Everyone who is old or not rich is both not curious and not wise and vice versa. Everyone who is rich is both rich and not happy. If john is either not patient or not kind then lu... | Paul is not kind. | entailment | (((old(fred)|patient(fred)))=>((creative(john)<~>~creative(john))))&
(![X]:((~old(X)|creative(X))=>(~rich(X)&~humble(X))))&
(![X]:((old(X)|~rich(X))<=>(~curious(X)&~wise(X))))&
(![X]:(rich(X)=>(rich(X)&~happy(X))))&
(((~patient(john)<~>~kind(john)))<=>((~strong(lucy)&~happy(lucy))))&
(((~generous(susan)&generous(susan)... | ~kind(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2695055146448506534303353
% SZS output start Proof for 2695055146448506534303353
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (kind(X0) | wise(X0))) [input p10]
23. kind(paul) [input hypothesis]
46. ! [X0] : (((~creative(X0) & ~kind(X0)) | (~kind(X0) & ~wise(X0))) & ((kind(X0) | wise(X0)... | 0 |
Everyone who is not creative or creative is happy or not old and vice versa. Everyone who is both not quiet and kind is either kind or not strong. Everyone who is not rich or quiet is calm or not funny. Everyone who is either not patient or creative is brave or not curious and vice versa. If someone is brave then paul ... | Mary is old. | neutral | (![X]:((~creative(X)|creative(X))<=>(happy(X)|~old(X))))&
(![X]:((~quiet(X)&kind(X))=>(kind(X)<~>~strong(X))))&
(![X]:((~rich(X)|quiet(X))=>(calm(X)|~funny(X))))&
(![X]:((~patient(X)<~>creative(X))<=>(brave(X)|~curious(X))))&
((?[X]:(brave(X)))<=>(~happy(paul)))&
(((~tall(john)&tall(john)))=>(?[X]:((wise(X)<~>~old(X)))... | old(mary) | [] | null | 0 |
Everyone who is either happy or not strong is not strong and vice versa.
Everyone who is wise or brave is not funny or brave and vice versa.
If john is not happy or not kind then someone is either not tall or humble.
If alice is not brave or tall then someone is calm.
Everyone who is creative is not brave.
Everyone who... | Mary is not old. | neutral | (![X]:((happy(X)<~>~strong(X))<=>~strong(X)))&
(![X]:((wise(X)|brave(X))<=>(~funny(X)|brave(X))))&
(((~happy(john)|~kind(john)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~brave(alice)|tall(alice)))=>(?[X]:(calm(X))))&
(![X]:(creative(X)=>~brave(X)))&
(![X]:((strong(X)<~>tall(X))<=>(funny(X)|~old(X))))&
(![X]:((~rich(X)&ri... | ~old(mary) | [] | null | 0 |
Everyone who is creative is humble.
Everyone who is either not humble or not calm is either curious or rich.
Everyone who is generous or strong is not wise.
Everyone who is both humble and not humble is not curious or not funny and vice versa.
Everyone who is either not quiet or not strong is not rich.
Everyone who is ... | Lucy is funny. | entailment | (![X]:(creative(X)=>humble(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(curious(X)<~>rich(X))))&
(![X]:((generous(X)|strong(X))=>~wise(X)))&
(![X]:((humble(X)&~humble(X))<=>(~curious(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~strong(X))=>~rich(X)))&
(![X]:((patient(X)|humble(X))<=>(tall(X)&~happy(X))))&
(((~wise(susan)<~>~rich(su... | funny(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5507161555366243415544966
% SZS output start Proof for 5507161555366243415544966
4. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~funny(X0) | ~curious(X0))) [input p3]
24. ~funny(lucy) [input hypothesis]
36. ! [X0] : (((~humble(X0) & humble(X0)) | (funny(X0) & curious(X0))) & ((~funny(X0) | ... | 0 |
If john is both not calm and curious then someone is either kind or patient.
Everyone who is not quiet is either not happy or curious and vice versa.
Everyone who is not kind or not strong is not kind or strong.
Everyone who is either not curious or funny is either not kind or not patient.
Everyone who is not patient o... | Mary is curious. | contradiction | (((~calm(john)&curious(john)))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))=>(~kind(X)|strong(X))))&
(![X]:((~curious(X)<~>funny(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~patient(X)|~strong(X))=>(~strong(X)&~curious(X))))&
(![X]:(~curious(X)=>(~creative(... | curious(mary) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4615519630521249859799925
% SZS output start Proof for 4615519630521249859799925
12. ! [X0] : (~calm(X0) <=> ~curious(X0)) [input p11]
19. ~humble(mary) & ~calm(mary) [input p18]
25. curious(mary) [input hypothesis]
61. ! [X0] : ((~calm(X0) | curious(X0)) & (~curious(X0) | calm(X0))) [nnf... | 0 |
Everyone who is not brave is either wise or not brave and vice versa.
If fred is either tall or humble then mary is either funny or not happy and vice versa.
Everyone who is either not quiet or generous is both humble and not quiet and vice versa.
Everyone who is not tall or old is both not brave and brave.
If lucy is ... | Fred is humble. | entailment | (![X]:(~brave(X)<=>(wise(X)<~>~brave(X))))&
(((tall(fred)<~>humble(fred)))<=>((funny(mary)<~>~happy(mary))))&
(![X]:((~quiet(X)<~>generous(X))<=>(humble(X)&~quiet(X))))&
(![X]:((~tall(X)|old(X))=>(~brave(X)&brave(X))))&
((funny(lucy))=>(?[X]:((~old(X)|~generous(X)))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~ta... | humble(fred) | [
"p3",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5153938557062420219140153
% SZS output start Proof for 5153938557062420219140153
4. ! [X0] : ((old(X0) | ~tall(X0)) => (brave(X0) & ~brave(X0))) [input p3]
15. (~brave(alice) <~> ~old(alice)) <=> ? [X0] : (~humble(X0) | strong(X0)) [input p14]
22. ~brave(alice) [input p21]
25. ~humble(fre... | 0 |
If someone is both not rich and kind then someone is either calm or not funny.
Everyone who is either happy or not quiet is not curious and vice versa.
Everyone who is both curious and not tall is both quiet and not old.
If alice is calm or tall then someone is not humble or not generous and vice versa.
Everyone who is... | Paul is patient. | neutral | ((?[X]:((~rich(X)&kind(X))))=>(?[X]:((calm(X)<~>~funny(X)))))&
(![X]:((happy(X)<~>~quiet(X))<=>~curious(X)))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)&~old(X))))&
(((calm(alice)|tall(alice)))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~curious(X)<~>~brave(X))<=>~tall(X)))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:((hu... | patient(paul) | [] | null | 0 |
If paul is both not patient and calm then fred is not humble.
If susan is not curious or quiet then someone is patient or strong.
Everyone who is not wise is not generous or not old.
Everyone who is kind or strong is both not wise and patient and vice versa.
Everyone who is either strong or wise is tall or not humble.
... | Paul is not patient. | entailment | (((~patient(paul)&calm(paul)))=>(~humble(fred)))&
(((~curious(susan)|quiet(susan)))=>(?[X]:((patient(X)|strong(X)))))&
(![X]:(~wise(X)=>(~generous(X)|~old(X))))&
(![X]:((kind(X)|strong(X))<=>(~wise(X)&patient(X))))&
(![X]:((strong(X)<~>wise(X))=>(tall(X)|~humble(X))))&
(![X]:(humble(X)<=>(brave(X)|rich(X))))&
(![X]:(ki... | ~patient(paul) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5483339949062779848578828
% SZS output start Proof for 5483339949062779848578828
6. ! [X0] : (humble(X0) <=> (rich(X0) | brave(X0))) [input p5]
9. ? [X0] : (humble(X0) | ~generous(X0)) => (~patient(paul) & happy(paul)) [input p8]
12. ! [X0] : ((humble(X0) <~> ~rich(X0)) <=> (rich(X0) & ~t... | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Paul is not kind. | entailment | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | ~kind(paul) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2475146719670452227843719
% SZS output start Proof for 2475146719670452227843719
5. ? [X0] : (kind(X0) | ~generous(X0)) <=> (~brave(paul) <~> ~generous(paul)) [input p4]
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) & ~happy(X0)) <=> old(X0)) [in... | 0 |
Everyone who is both not quiet and not old is not brave or curious.
Everyone who is both strong and kind is both happy and humble and vice versa.
If someone is not quiet then susan is wise.
If john is either kind or wise then someone is either kind or not brave and vice versa.
Everyone who is both curious and not stron... | Mary is kind. | contradiction | (![X]:((~quiet(X)&~old(X))=>(~brave(X)|curious(X))))&
(![X]:((strong(X)&kind(X))<=>(happy(X)&humble(X))))&
((?[X]:(~quiet(X)))=>(wise(susan)))&
(((kind(john)<~>wise(john)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((curious(X)&~strong(X))=>~funny(X)))&
(((~happy(fred)|~strong(fred)))=>(?[X]:(happy(X))))&
(![X]:(brave(X... | kind(mary) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3821707638948779911394487
% SZS output start Proof for 3821707638948779911394487
7. ! [X0] : (brave(X0) <=> (~quiet(X0) & ~funny(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | quiet(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> ~quiet(X0)) [input p9]
24. kind(mary)... | 0 |
If someone is not quiet or not calm then someone is either rich or not quiet and vice versa.
If someone is humble or creative then fred is strong and vice versa.
Everyone who is both not old and not funny is not happy and vice versa.
Everyone who is both not strong and funny is both strong and not funny.
Everyone who i... | Paul is not wise. | neutral | ((?[X]:((~quiet(X)|~calm(X))))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((humble(X)|creative(X))))<=>(strong(fred)))&
(![X]:((~old(X)&~funny(X))<=>~happy(X)))&
(![X]:((~strong(X)&funny(X))=>(strong(X)&~funny(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(~curious(X)&~calm(X))))&
(((old(paul)<~>~quiet(paul)))=>((~quiet(susan)|h... | ~wise(paul) | [] | null | 0 |
If paul is either tall or curious then fred is either wise or not generous. Everyone who is either rich or not quiet is both curious and not calm and vice versa. Everyone who is either funny or not calm is both patient and not old. Everyone who is happy is not funny and vice versa. Everyone who is both not generous and... | Lucy is generous. | contradiction | (((tall(paul)<~>curious(paul)))=>((wise(fred)<~>~generous(fred))))&
(![X]:((rich(X)<~>~quiet(X))<=>(curious(X)&~calm(X))))&
(![X]:((funny(X)<~>~calm(X))=>(patient(X)&~old(X))))&
(![X]:(happy(X)<=>~funny(X)))&
(![X]:((~generous(X)&quiet(X))<=>(calm(X)|~wise(X))))&
((?[X]:((~humble(X)&strong(X))))=>(~creative(susan)))&
(... | generous(lucy) | [
"p2",
"p3",
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8528467637912162476996804
% SZS output start Proof for 8528467637912162476996804
3. ! [X0] : ((funny(X0) <~> ~calm(X0)) => (~old(X0) & patient(X0))) [input p2]
4. ! [X0] : (happy(X0) <=> ~funny(X0)) [input p3]
5. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~wise(X0) | calm(X0))) [input p4]... | 0 |
Everyone who is either patient or not generous is strong.
If fred is not generous or curious then someone is either not old or generous and vice versa.
If someone is rich or happy then someone is either curious or not tall and vice versa.
If john is not curious then alice is happy.
Everyone who is both not quiet and ol... | John is kind. | entailment | (![X]:((patient(X)<~>~generous(X))=>strong(X)))&
(((~generous(fred)|curious(fred)))<=>(?[X]:((~old(X)<~>generous(X)))))&
((?[X]:((rich(X)|happy(X))))<=>(?[X]:((curious(X)<~>~tall(X)))))&
((~curious(john))=>(happy(alice)))&
(![X]:((~quiet(X)&old(X))=>(kind(X)&creative(X))))&
(![X]:((~rich(X)&~funny(X))=>kind(X)))&
(![X]... | kind(john) | [
"p4",
"p5",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4846605746678569631189749
% SZS output start Proof for 4846605746678569631189749
5. ! [X0] : ((old(X0) & ~quiet(X0)) => (creative(X0) & kind(X0))) [input p4]
6. ! [X0] : ((~funny(X0) & ~rich(X0)) => kind(X0)) [input p5]
7. ! [X0] : ((old(X0) | quiet(X0)) <=> (quiet(X0) <~> strong(X0))) [i... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is either creative or not calm and vice versa.
If someone is either curious or creative then susan is either calm or creative.
If mary is generous then someone is not... | Fred is not rich. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)... | ~rich(fred) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1081805723436026061839509
% SZS output start Proof for 1081805723436026061839509
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (rich(X0) <=> (creative(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p6]
9. ! [X0] : ... | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
Everyone who is not curious or not calm is both not creative and quiet.
If paul is not kind then alice is quiet.
If someone is not brave then someone is not brave or not curious and vice versa.
If someone is either kind or not strong then lucy is tall... | Paul is creative. | contradiction | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(![X]:((~curious(X)|~calm(X))=>(~creative(X)&quiet(X))))&
((~kind(paul))=>(quiet(alice)))&
((?[X]:(~brave(X)))<=>(?[X]:((~brave(X)|~curious(X)))))&
((?[X]:((kind(X)<~>~strong(X))))=>((tall(lucy)|~creative(lucy))))&
(![X]:((~patient(X)<~>~rich(X))=>(brave(X)|generous(X))... | creative(paul) | [
"p0",
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 653205389575719195768968
% SZS output start Proof for 653205389575719195768968
1. ~curious(paul) <=> ? [X0] : (tall(X0) | quiet(X0)) [input p0]
2. ! [X0] : ((~calm(X0) | ~curious(X0)) => (quiet(X0) & ~creative(X0))) [input p1]
22. quiet(lucy) [input p21]
25. creative(paul) [input hypothes... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa. If someone is not wise then alice is not patient and vice versa. If someone is not creative then someone is both brave and not old. Everyone who is quiet is curious. If mary is both strong and not curious then someone is not humble... | Mary is curious. | contradiction | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&... | curious(mary) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6479679733235397919804406
% SZS output start Proof for 6479679733235397919804406
5. (~curious(mary) & strong(mary)) <=> ? [X0] : (~brave(X0) | ~humble(X0)) [input p4]
10. ? [X0] : (~humble(X0) & ~creative(X0)) <=> ? [X0] : (quiet(X0) | humble(X0)) [input p9]
24. curious(mary) [input hypot... | 0 |
If fred is both happy and not tall then someone is either not funny or quiet and vice versa. If lucy is not wise then someone is either funny or not quiet and vice versa. If mary is brave or not patient then mary is both not patient and old and vice versa. Everyone who is not patient or curious is both not calm and qui... | John is not creative. | neutral | (((happy(fred)&~tall(fred)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
((~wise(lucy))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
(((brave(mary)|~patient(mary)))<=>((~patient(mary)&old(mary))))&
(![X]:((~patient(X)|curious(X))<=>(~calm(X)&quiet(X))))&
(![X]:((calm(X)|~kind(X))=>(~calm(X)&kind(X))))&
((~old(paul))=>((happy(lucy)&~fun... | ~creative(john) | [] | null | 0 |
Everyone who is both not rich and not strong is both rich and tall and vice versa.
If someone is not humble or rich then lucy is not happy or not rich and vice versa.
Everyone who is both not brave and not quiet is either calm or old and vice versa.
Everyone who is calm or quiet is both not rich and humble.
If susan is... | Mary is not old. | entailment | (![X]:((~rich(X)&~strong(X))<=>(rich(X)&tall(X))))&
((?[X]:((~humble(X)|rich(X))))<=>((~happy(lucy)|~rich(lucy))))&
(![X]:((~brave(X)&~quiet(X))<=>(calm(X)<~>old(X))))&
(![X]:((calm(X)|quiet(X))=>(~rich(X)&humble(X))))&
(((~curious(susan)<~>tall(susan)))<=>(?[X]:((creative(X)|~quiet(X)))))&
((~patient(susan))=>((~tall(... | ~old(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1485987398260251677508070
% SZS output start Proof for 1485987398260251677508070
16. ~happy(mary) & ~old(mary) [input p15]
21. old(mary) [input hypothesis]
115. ~old(mary) [cnf transformation 16]
122. old(mary) [cnf transformation 21]
272. $false [subsumption resolution 122,115]
% SZS out... | 0 |
If fred is both not funny and not patient then someone is either tall or humble and vice versa.
Everyone who is not strong or not generous is not humble.
If someone is not strong or not tall then someone is both not old and funny and vice versa.
Everyone who is both generous and not wise is either not strong or not hap... | Susan is not humble. | contradiction | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((~strong(X)|~generous(X))=>~humble(X)))&
((?[X]:((~strong(X)|~tall(X))))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((generous(X)&~wise(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))... | ~humble(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6856146509374874732684840
% SZS output start Proof for 6856146509374874732684840
5. ! [X0] : ((tall(X0) <~> patient(X0)) => (wise(X0) & humble(X0))) [input p4]
9. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p8]
25. ~humble(susan) [input hypothesis]
31. ! [X0] : ((wise(X0) &... | 0 |
Everyone who is either old or not funny is strong or old and vice versa. Everyone who is either not funny or not curious is both not curious and not brave and vice versa. Everyone who is both brave and not creative is both not creative and creative and vice versa. If someone is either not old or rich then someone is ei... | John is not wise. | contradiction | (![X]:((old(X)<~>~funny(X))<=>(strong(X)|old(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(~curious(X)&~brave(X))))&
(![X]:((brave(X)&~creative(X))<=>(~creative(X)&creative(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((wise(alice)|~generous(alice)))=>((kind(john)<~>quiet(john))))&
(![X]:(pa... | ~wise(john) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6867977661356083576562525
% SZS output start Proof for 6867977661356083576562525
9. ! [X0] : (wise(X0) <=> ~curious(X0)) [input p8]
18. ~curious(john) & ~patient(john) [input p17]
25. ~wise(john) [input hypothesis]
53. ! [X0] : ((wise(X0) | curious(X0)) & (~curious(X0) | ~wise(X0))) [nnf ... | 0 |
If susan is funny or generous then someone is strong or not quiet and vice versa.
If someone is either not funny or not old then someone is funny or not generous and vice versa.
Everyone who is either calm or quiet is either not generous or happy and vice versa.
If someone is wise then someone is not tall or creative a... | Susan is not patient. | neutral | (((funny(susan)|generous(susan)))<=>(?[X]:((strong(X)|~quiet(X)))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((funny(X)|~generous(X)))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~tall(X)|creative(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~strong(X)|kind(X))))&
(![X]:((... | ~patient(susan) | [] | null | 0 |
Everyone who is not generous is both not tall and not generous and vice versa.
If paul is strong or humble then someone is tall or not generous and vice versa.
Everyone who is either not happy or generous is both strong and old.
Everyone who is both strong and tall is both happy and calm and vice versa.
Everyone who is... | Alice is not strong. | contradiction | (![X]:(~generous(X)<=>(~tall(X)&~generous(X))))&
(((strong(paul)|humble(paul)))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~happy(X)<~>generous(X))=>(strong(X)&old(X))))&
(![X]:((strong(X)&tall(X))<=>(happy(X)&calm(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>~rich(X))))&
(![X]:((rich(X)<~>strong(X))<=>(patient(X)&~funny(X))... | ~strong(alice) | [
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7474143746660585780354153
% SZS output start Proof for 7474143746660585780354153
6. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~funny(X0) & patient(X0))) [input p5]
11. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~patient(X0) & generous(X0))) [input p10]
13. ! [X0] : ((kind(X0) | ~kind(X0)) => (... | 0 |
If someone is both not kind and rich then lucy is rich.
If someone is creative then susan is curious or happy.
If paul is either not tall or not calm then paul is funny.
Everyone who is either tall or generous is not strong or not creative.
If someone is either happy or tall then fred is both strong and humble and vice... | Fred is creative. | contradiction | ((?[X]:((~kind(X)&rich(X))))=>(rich(lucy)))&
((?[X]:(creative(X)))=>((curious(susan)|happy(susan))))&
(((~tall(paul)<~>~calm(paul)))=>(funny(paul)))&
(![X]:((tall(X)<~>generous(X))=>(~strong(X)|~creative(X))))&
((?[X]:((happy(X)<~>tall(X))))<=>((strong(fred)&humble(fred))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:((cr... | creative(fred) | [
"p4",
"p9",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3018985215843986389281880
% SZS output start Proof for 3018985215843986389281880
5. ? [X0] : (happy(X0) <~> tall(X0)) <=> (humble(fred) & strong(fred)) [input p4]
10. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~generous(X0) | wise(X0))) [input p9]
14. ! [X0] : ((~humble(X0) <~> ~creative(X0)... | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Lucy is old. | neutral | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | old(lucy) | [] | null | 0 |
Everyone who is not patient or not calm is either rich or strong. If someone is not generous or tall then someone is kind and vice versa. Everyone who is both not quiet and not kind is not calm or patient and vice versa. Everyone who is both brave and not kind is not tall or not humble and vice versa. If someone is eit... | Susan is brave. | neutral | (![X]:((~patient(X)|~calm(X))=>(rich(X)<~>strong(X))))&
((?[X]:((~generous(X)|tall(X))))<=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)&~kind(X))<=>(~calm(X)|patient(X))))&
(![X]:((brave(X)&~kind(X))<=>(~tall(X)|~humble(X))))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:((generous(X)&~funny(X)))))&
((~patient(susan))=>((~old(fred)<~... | brave(susan) | [] | null | 0 |
If someone is both generous and not curious then paul is not tall or creative.
If someone is either kind or strong then susan is both old and happy and vice versa.
Everyone who is not old is either not rich or rich and vice versa.
If mary is both patient and not quiet then someone is both kind and happy and vice versa.... | Paul is calm. | entailment | ((?[X]:((generous(X)&~curious(X))))=>((~tall(paul)|creative(paul))))&
((?[X]:((kind(X)<~>strong(X))))<=>((old(susan)&happy(susan))))&
(![X]:(~old(X)<=>(~rich(X)<~>rich(X))))&
(((patient(mary)&~quiet(mary)))<=>(?[X]:((kind(X)&happy(X)))))&
(![X]:((~patient(X)|~kind(X))=>(humble(X)|rich(X))))&
((?[X]:(~patient(X)))<=>(?[... | calm(paul) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 637408309244795399150990
% SZS output start Proof for 637408309244795399150990
8. ! [X0] : ((strong(X0) | patient(X0)) => (~strong(X0) & brave(X0))) [input p7]
10. ? [X0] : ~calm(X0) => ? [X0] : (strong(X0) & ~kind(X0)) [input p9]
25. ~calm(paul) [input hypothesis]
27. ? [X0] : ~calm(X0) ... | 0 |
Everyone who is either brave or not brave is not funny or not humble.
Everyone who is not old is strong and vice versa.
If paul is either not quiet or not creative then someone is funny or not tall and vice versa.
Everyone who is not creative is not curious.
If fred is humble then someone is not funny or not kind and v... | Lucy is not humble. | entailment | (![X]:((brave(X)<~>~brave(X))=>(~funny(X)|~humble(X))))&
(![X]:(~old(X)<=>strong(X)))&
(((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)... | ~humble(lucy) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4172024164247762805868376
% SZS output start Proof for 4172024164247762805868376
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) | ~funny(X0))) [input p0]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => funny(X0)) [input p6]
23. humble(lucy) [input hypothesis]
25. ! [X0] : ((~humble(... | 0 |
Everyone who is not brave or not generous is either not brave or not generous.
Everyone who is not kind or rich is either not patient or creative.
Everyone who is not kind or not curious is either not generous or not happy.
Everyone who is not old or funny is not calm and vice versa.
If someone is both rich and not cur... | Alice is not calm. | neutral | (![X]:((~brave(X)|~generous(X))=>(~brave(X)<~>~generous(X))))&
(![X]:((~kind(X)|rich(X))=>(~patient(X)<~>creative(X))))&
(![X]:((~kind(X)|~curious(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((~old(X)|funny(X))<=>~calm(X)))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~kind(X)<~>brave(X)))))&
((?[X]:(humble(X)))=>(?[X]:(fun... | ~calm(alice) | [] | null | 0 |
If alice is not tall or not quiet then mary is either not patient or not creative.
Everyone who is both not funny and not strong is not calm and vice versa.
Everyone who is either rich or not happy is not patient or not humble and vice versa.
If susan is quiet or wise then susan is either quiet or rich and vice versa.
... | Alice is happy. | neutral | (((~tall(alice)|~quiet(alice)))=>((~patient(mary)<~>~creative(mary))))&
(![X]:((~funny(X)&~strong(X))<=>~calm(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)|~humble(X))))&
(((quiet(susan)|wise(susan)))<=>((quiet(susan)<~>rich(susan))))&
((?[X]:(~calm(X)))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)&~humble(X))=>~old(X... | happy(alice) | [] | null | 0 |
If lucy is funny then someone is not curious.
If mary is not patient or not kind then paul is either not old or not kind.
If lucy is tall or strong then mary is generous or kind.
Everyone who is either not funny or tall is tall.
Everyone who is tall or not rich is either not strong or happy and vice versa.
If susan is ... | John is not happy. | neutral | ((funny(lucy))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~kind(paul))))&
(((tall(lucy)|strong(lucy)))=>((generous(mary)|kind(mary))))&
(![X]:((~funny(X)<~>tall(X))=>tall(X)))&
(![X]:((tall(X)|~rich(X))<=>(~strong(X)<~>happy(X))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:((kind(X)|stron... | ~happy(john) | [] | null | 0 |
If someone is either creative or not wise then someone is either not rich or funny and vice versa. If someone is not humble then someone is creative or not patient. Everyone who is not wise or quiet is both strong and funny. If john is both generous and quiet then someone is not happy or not creative and vice versa. If... | Fred is funny. | entailment | ((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((~wise(X)|quiet(X))=>(strong(X)&funny(X))))&
(((generous(john)&quiet(john)))<=>(?[X]:((~happy(X)|~creative(X)))))&
((~wise(mary))=>((tall(mary)&strong(mary))))&
(![X]:((quiet(X)&kind(X... | funny(fred) | [
"p2",
"p3",
"p5",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3672364571918770355662187
% SZS output start Proof for 3672364571918770355662187
3. ! [X0] : ((quiet(X0) | ~wise(X0)) => (funny(X0) & strong(X0))) [input p2]
4. (quiet(john) & generous(john)) <=> ? [X0] : (~creative(X0) | ~happy(X0)) [input p3]
6. ! [X0] : ((kind(X0) & quiet(X0)) => (~str... | 0 |
Everyone who is not curious is both not brave and quiet. If someone is both not humble and not calm then lucy is either quiet or not wise and vice versa. Everyone who is both rich and not humble is wise and vice versa. If someone is not brave then lucy is both not old and not creative. Everyone who is not quiet or not ... | Fred is tall. | entailment | (![X]:(~curious(X)=>(~brave(X)&quiet(X))))&
((?[X]:((~humble(X)&~calm(X))))<=>((quiet(lucy)<~>~wise(lucy))))&
(![X]:((rich(X)&~humble(X))<=>wise(X)))&
((?[X]:(~brave(X)))=>((~old(lucy)&~creative(lucy))))&
(![X]:((~quiet(X)|~generous(X))=>(~brave(X)|tall(X))))&
((~strong(paul))=>((~curious(mary)|brave(mary))))&
((?[X]:(... | tall(fred) | [
"p3",
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3915544292271599676905106
% SZS output start Proof for 3915544292271599676905106
4. ? [X0] : ~brave(X0) => (~creative(lucy) & ~old(lucy)) [input p3]
5. ! [X0] : ((~generous(X0) | ~quiet(X0)) => (tall(X0) | ~brave(X0))) [input p4]
8. kind(fred) <=> ? [X0] : (strong(X0) | generous(X0)) [inp... | 0 |
Everyone who is funny is either not funny or quiet and vice versa. If paul is curious then alice is not tall or not patient and vice versa. If lucy is both calm and not strong then lucy is both not humble and tall and vice versa. If someone is humble then someone is both calm and not patient. If someone is either not h... | Paul is not creative. | contradiction | (![X]:(funny(X)<=>(~funny(X)<~>quiet(X))))&
((curious(paul))<=>((~tall(alice)|~patient(alice))))&
(((calm(lucy)&~strong(lucy)))<=>((~humble(lucy)&tall(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&~patient(X)))))&
((?[X]:((~happy(X)<~>~wise(X))))<=>((~happy(lucy)|~creative(lucy))))&
(![X]:((generous(X)|~rich(X))=>~ric... | ~creative(paul) | [
"p0",
"p1",
"p5",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 217987150520237731778155
% SZS output start Proof for 217987150520237731778155
1. ! [X0] : (funny(X0) <=> (~funny(X0) <~> quiet(X0))) [input p0]
2. curious(paul) <=> (~patient(alice) | ~tall(alice)) [input p1]
6. ! [X0] : ((~rich(X0) | generous(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : ((... | 0 |
Everyone who is both not rich and not brave is curious and vice versa. If lucy is either not patient or creative then someone is not old or not creative and vice versa. Everyone who is both tall and not calm is both strong and creative. Everyone who is either not happy or not patient is both not calm and not old and vi... | Mary is tall. | neutral | (![X]:((~rich(X)&~brave(X))<=>curious(X)))&
(((~patient(lucy)<~>creative(lucy)))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)&creative(X))))&
(![X]:((~happy(X)<~>~patient(X))<=>(~calm(X)&~old(X))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(... | tall(mary) | [] | null | 0 |
Everyone who is either not quiet or brave is either not curious or generous. If someone is not old or not wise then fred is not humble and vice versa. Everyone who is not humble or creative is not wise or calm and vice versa. Everyone who is not rich or rich is creative or wise. If someone is wise then someone is happy... | Susan is not happy. | contradiction | (![X]:((~quiet(X)<~>brave(X))=>(~curious(X)<~>generous(X))))&
((?[X]:((~old(X)|~wise(X))))<=>(~humble(fred)))&
(![X]:((~humble(X)|creative(X))<=>(~wise(X)|calm(X))))&
(![X]:((~rich(X)|rich(X))=>(creative(X)|wise(X))))&
((?[X]:(wise(X)))=>(?[X]:(happy(X))))&
(![X]:(~strong(X)<=>(patient(X)&~creative(X))))&
(![X]:((wise(... | ~happy(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5561984830940303803241032
% SZS output start Proof for 5561984830940303803241032
12. ! [X0] : (wise(X0) <=> (~wise(X0) | happy(X0))) [input p11]
24. ~happy(susan) [input hypothesis]
56. ! [X0] : ((wise(X0) | (wise(X0) & ~happy(X0))) & ((~wise(X0) | happy(X0)) | ~wise(X0))) [nnf transforma... | 0 |
Everyone who is either rich or brave is patient or humble and vice versa.
Everyone who is either wise or strong is strong.
If someone is both not patient and rich then susan is patient or not generous.
Everyone who is patient or not patient is either not happy or not wise.
Everyone who is both not rich and not creative... | Susan is not creative. | neutral | (![X]:((rich(X)<~>brave(X))<=>(patient(X)|humble(X))))&
(![X]:((wise(X)<~>strong(X))=>strong(X)))&
((?[X]:((~patient(X)&rich(X))))=>((patient(susan)|~generous(susan))))&
(![X]:((patient(X)|~patient(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((~rich(X)&~creative(X))=>(happy(X)|quiet(X))))&
((?[X]:(wise(X)))=>(?[X]:((happy(X)|... | ~creative(susan) | [] | null | 0 |
If fred is brave then mary is either tall or curious and vice versa.
If susan is not funny then fred is both not wise and happy.
If someone is both not wise and brave then someone is either strong or not curious and vice versa.
If someone is either not brave or calm then someone is funny or strong and vice versa.
Every... | Fred is not old. | neutral | ((brave(fred))<=>((tall(mary)<~>curious(mary))))&
((~funny(susan))=>((~wise(fred)&happy(fred))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]... | ~old(fred) | [] | null | 0 |
If someone is both not strong and not brave then someone is old or not generous. If someone is either quiet or calm then lucy is not quiet and vice versa. If someone is either curious or tall then alice is either funny or quiet. If susan is not creative or not tall then alice is not humble. If mary is not funny or not ... | Lucy is strong. | contradiction | ((?[X]:((~strong(X)&~brave(X))))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(~quiet(lucy)))&
((?[X]:((curious(X)<~>tall(X))))=>((funny(alice)<~>quiet(alice))))&
(((~creative(susan)|~tall(susan)))=>(~humble(alice)))&
(((~funny(mary)|~rich(mary)))<=>(?[X]:(patient(X))))&
(![X]:(~funny(X)=>(calm(X)... | strong(lucy) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8637615171157123704981899
% SZS output start Proof for 8637615171157123704981899
7. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> ~kind(X0)) [input p6]
15. ! [X0] : (strong(X0) <=> (~kind(X0) & ~patient(X0))) [input p14]
24. strong(lucy) [input hypothesis]
51. ! [X0] : (((~rich(X0) & ~strong(X0... | 0 |
Everyone who is both wise and not generous is both not wise and calm and vice versa.
Everyone who is both happy and brave is either not brave or rich and vice versa.
Everyone who is calm is not happy or creative and vice versa.
Everyone who is both not calm and brave is not rich or quiet and vice versa.
Everyone who is... | Lucy is not humble. | contradiction | (![X]:((wise(X)&~generous(X))<=>(~wise(X)&calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~brave(X)<~>rich(X))))&
(![X]:(calm(X)<=>(~happy(X)|creative(X))))&
(![X]:((~calm(X)&brave(X))<=>(~rich(X)|quiet(X))))&
(![X]:((strong(X)&happy(X))=>(calm(X)|curious(X))))&
((?[X]:(~happy(X)))<=>((~funny(lucy)|calm(lucy))))&
(![X]:((~pa... | ~humble(lucy) | [
"p0",
"p3",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5358019845054488150210812
% SZS output start Proof for 5358019845054488150210812
1. ! [X0] : ((~generous(X0) & wise(X0)) <=> (calm(X0) & ~wise(X0))) [input p0]
4. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (quiet(X0) | ~rich(X0))) [input p3]
8. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (kind(X0) ... | 0 |
If someone is both kind and happy then someone is rich and vice versa.
If fred is both quiet and funny then alice is not funny.
Everyone who is either not brave or happy is either not kind or old.
Everyone who is either not funny or patient is both not old and not humble.
Everyone who is both not old and not patient is... | Alice is rich. | entailment | ((?[X]:((kind(X)&happy(X))))<=>(?[X]:(rich(X))))&
(((quiet(fred)&funny(fred)))=>(~funny(alice)))&
(![X]:((~brave(X)<~>happy(X))=>(~kind(X)<~>old(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~old(X)&~humble(X))))&
(![X]:((~old(X)&~patient(X))<=>(~wise(X)|~calm(X))))&
(![X]:((happy(X)&~calm(X))<=>(wise(X)&~humble(X))))&
((?[... | rich(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1223309586331823285259123
% SZS output start Proof for 1223309586331823285259123
9. ! [X0] : (rich(X0) <=> (generous(X0) | ~generous(X0))) [input p8]
23. ~rich(alice) [input hypothesis]
49. ! [X0] : ((rich(X0) | (~generous(X0) & generous(X0))) & ((generous(X0) | ~generous(X0)) | ~rich(X0)... | 0 |
If alice is both funny and not patient then mary is tall or happy and vice versa.
Everyone who is not tall or not curious is patient or not quiet.
If someone is either curious or patient then someone is both not quiet and not rich and vice versa.
If paul is either not generous or not humble then john is both creative a... | Lucy is creative. | neutral | (((funny(alice)&~patient(alice)))<=>((tall(mary)|happy(mary))))&
(![X]:((~tall(X)|~curious(X))=>(patient(X)|~quiet(X))))&
((?[X]:((curious(X)<~>patient(X))))<=>(?[X]:((~quiet(X)&~rich(X)))))&
(((~generous(paul)<~>~humble(paul)))<=>((creative(john)&~brave(john))))&
(((~kind(mary)&~brave(mary)))=>((~kind(paul)|~happy(pau... | creative(lucy) | [] | null | 0 |
If john is wise then someone is not wise. If someone is either quiet or not brave then someone is not curious or patient and vice versa. Everyone who is either quiet or humble is curious or happy and vice versa. Everyone who is both brave and not strong is both calm and patient and vice versa. If lucy is either not hap... | John is generous. | entailment | ((wise(john))=>(?[X]:(~wise(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(curious(X)|happy(X))))&
(![X]:((brave(X)&~strong(X))<=>(calm(X)&patient(X))))&
(((~happy(lucy)<~>rich(lucy)))<=>((~wise(john)<~>~patient(john))))&
(![X]:(~old(X)=>old(X)))&
(![X]:((... | generous(john) | [
"p5",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3779037386611016291870344
% SZS output start Proof for 3779037386611016291870344
6. ! [X0] : (~old(X0) => old(X0)) [input p5]
9. ! [X0] : ((curious(X0) <~> kind(X0)) <=> (~kind(X0) <~> ~patient(X0))) [input p8]
11. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p10]
12. ! [X0] : ((... | 0 |
Everyone who is not wise or not patient is both not creative and old and vice versa.
Everyone who is both not rich and humble is either not patient or patient and vice versa.
If alice is creative or not happy then mary is either not patient or not generous and vice versa.
Everyone who is not calm or creative is both qu... | Alice is not calm. | contradiction | (![X]:((~wise(X)|~patient(X))<=>(~creative(X)&old(X))))&
(![X]:((~rich(X)&humble(X))<=>(~patient(X)<~>patient(X))))&
(((creative(alice)|~happy(alice)))<=>((~patient(mary)<~>~generous(mary))))&
(![X]:((~calm(X)|creative(X))=>(quiet(X)&~happy(X))))&
((creative(alice))<=>(quiet(mary)))&
(![X]:((brave(X)<~>patient(X))<=>(~... | ~calm(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 795737367534553225429991
% SZS output start Proof for 795737367534553225429991
4. ! [X0] : ((creative(X0) | ~calm(X0)) => (~happy(X0) & quiet(X0))) [input p3]
9. ! [X0] : ((quiet(X0) | brave(X0)) => happy(X0)) [input p8]
18. ~calm(alice) [input hypothesis]
22. ! [X0] : ((~happy(X0) & quie... | 0 |
Everyone who is either not curious or not tall is both quiet and not humble.
If someone is not kind or not strong then mary is either not humble or not wise and vice versa.
Everyone who is either creative or not curious is calm.
If susan is calm or not calm then fred is quiet and vice versa.
Everyone who is not happy o... | Fred is not strong. | entailment | (![X]:((~curious(X)<~>~tall(X))=>(quiet(X)&~humble(X))))&
((?[X]:((~kind(X)|~strong(X))))<=>((~humble(mary)<~>~wise(mary))))&
(![X]:((creative(X)<~>~curious(X))=>calm(X)))&
(((calm(susan)|~calm(susan)))<=>(quiet(fred)))&
(![X]:((~happy(X)|~humble(X))<=>(~patient(X)&~happy(X))))&
((?[X]:((~strong(X)&humble(X))))=>(brave... | ~strong(fred) | [
"p3",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4101251190602423116871111
% SZS output start Proof for 4101251190602423116871111
4. (~calm(susan) | calm(susan)) <=> quiet(fred) [input p3]
12. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> ~quiet(X0)) [input p11]
15. ! [X0] : (wise(X0) <=> ~strong(X0)) [input p14]
24. wise(fred) | funny(fred... | 0 |
Everyone who is not humble or kind is both happy and brave and vice versa. Everyone who is both not rich and not patient is humble and vice versa. If john is tall or not brave then someone is both not curious and happy. If mary is either not brave or generous then fred is not calm or not curious and vice versa. Everyon... | Lucy is creative. | neutral | (![X]:((~humble(X)|kind(X))<=>(happy(X)&brave(X))))&
(![X]:((~rich(X)&~patient(X))<=>humble(X)))&
(((tall(john)|~brave(john)))=>(?[X]:((~curious(X)&happy(X)))))&
(((~brave(mary)<~>generous(mary)))<=>((~calm(fred)|~curious(fred))))&
(![X]:((strong(X)|~humble(X))<=>(strong(X)|brave(X))))&
(![X]:((old(X)|~funny(X))=>(brav... | creative(lucy) | [] | null | 0 |
If someone is not calm then someone is both brave and creative and vice versa.
Everyone who is curious or not wise is kind.
Everyone who is either not tall or strong is either not rich or not brave and vice versa.
If someone is not tall or not generous then susan is tall and vice versa.
If alice is not brave then someo... | Lucy is not calm. | neutral | ((?[X]:(~calm(X)))<=>(?[X]:((brave(X)&creative(X)))))&
(![X]:((curious(X)|~wise(X))=>kind(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(~rich(X)<~>~brave(X))))&
((?[X]:((~tall(X)|~generous(X))))<=>(tall(susan)))&
((~brave(alice))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~generous(X)|calm(X))))&
(!... | ~calm(lucy) | [] | null | 0 |
If john is not quiet or happy then someone is brave or old. Everyone who is not creative is both not happy and happy and vice versa. If someone is either not humble or not curious then paul is either brave or not humble. Everyone who is not generous or not patient is not calm. Everyone who is generous or not curious is... | Lucy is old. | entailment | (((~quiet(john)|happy(john)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:(~creative(X)<=>(~happy(X)&happy(X))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((brave(paul)<~>~humble(paul))))&
(![X]:((~generous(X)|~patient(X))=>~calm(X)))&
(![X]:((generous(X)|~curious(X))<=>(happy(X)&~creative(X))))&
(((~happy(john)|~brave(john)))=>(... | old(lucy) | [
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2961692947452906012821039
% SZS output start Proof for 2961692947452906012821039
2. ! [X0] : (~creative(X0) <=> (happy(X0) & ~happy(X0))) [input p1]
4. ! [X0] : ((~patient(X0) | ~generous(X0)) => ~calm(X0)) [input p3]
5. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~creative(X0) & happy(X... | 0 |
Everyone who is both not humble and rich is strong or funny and vice versa.
Everyone who is either not curious or not generous is strong and vice versa.
Everyone who is creative is funny or not curious.
Everyone who is either strong or not strong is funny and vice versa.
Everyone who is not generous or tall is strong.
... | Alice is curious. | entailment | (![X]:((~humble(X)&rich(X))<=>(strong(X)|funny(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(... | curious(alice) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8644399910643125477419727
% SZS output start Proof for 8644399910643125477419727
1. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (funny(X0) | strong(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> strong(X0)) [input p1]
5. ! [X0] : ((tall(X0) | ~generous(X0)) => strong(X0)) [... | 0 |
If john is not funny or old then paul is not quiet and vice versa.
If someone is old or wise then lucy is not generous or funny and vice versa.
If someone is both not kind and happy then susan is rich.
Everyone who is funny is either patient or not patient and vice versa.
If fred is calm then someone is not strong and ... | Lucy is not humble. | entailment | (((~funny(john)|old(john)))<=>(~quiet(paul)))&
((?[X]:((old(X)|wise(X))))<=>((~generous(lucy)|funny(lucy))))&
((?[X]:((~kind(X)&happy(X))))=>(rich(susan)))&
(![X]:(funny(X)<=>(patient(X)<~>~patient(X))))&
((calm(fred))<=>(?[X]:(~strong(X))))&
(![X]:((~brave(X)&creative(X))<=>(~tall(X)<~>old(X))))&
(![X]:((~strong(X)&~c... | ~humble(lucy) | [
"p3",
"p6",
"p7",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7795944937751799603949892
% SZS output start Proof for 7795944937751799603949892
4. ! [X0] : (funny(X0) <=> (patient(X0) <~> ~patient(X0))) [input p3]
7. ! [X0] : ((~curious(X0) & ~strong(X0)) <=> ~quiet(X0)) [input p6]
8. ! [X0] : ((quiet(X0) | ~calm(X0)) => (~humble(X0) | creative(X0)))... | 0 |
Everyone who is either not kind or creative is not creative. Everyone who is generous is calm and vice versa. If someone is both calm and rich then mary is both not rich and brave and vice versa. If susan is either kind or not rich then lucy is both not creative and patient and vice versa. Everyone who is curious is bo... | Fred is not tall. | contradiction | (![X]:((~kind(X)<~>creative(X))=>~creative(X)))&
(![X]:(generous(X)<=>calm(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(mary)&brave(mary))))&
(((kind(susan)<~>~rich(susan)))<=>((~creative(lucy)&patient(lucy))))&
(![X]:(curious(X)=>(curious(X)&~curious(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>((quiet(fred)<~>~tall(fred)... | ~tall(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3246302646063916839720755
% SZS output start Proof for 3246302646063916839720755
10. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (~kind(X0) & kind(X0))) [input p9]
24. ~tall(fred) [input hypothesis]
48. ! [X0] : (((~strong(X0) | ~tall(X0)) | (kind(X0) | ~kind(X0))) & ((~kind(X0) & kind(X0)) |... | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Lucy is creative. | neutral | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | creative(lucy) | [] | null | 0 |
If alice is either curious or not funny then someone is not brave or wise and vice versa.
If someone is tall or calm then alice is not curious and vice versa.
Everyone who is not wise or not creative is either curious or not tall.
Everyone who is either brave or not generous is not curious or rich.
Everyone who is eith... | Fred is not wise. | contradiction | (((curious(alice)<~>~funny(alice)))<=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((tall(X)|calm(X))))<=>(~curious(alice)))&
(![X]:((~wise(X)|~creative(X))=>(curious(X)<~>~tall(X))))&
(![X]:((brave(X)<~>~generous(X))=>(~curious(X)|rich(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(generous(X)|~generous(X))))&
(![X]:((quiet(X)&hum... | ~wise(fred) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p10",
"p11",
"p13",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7095703341127623269573707
% SZS output start Proof for 7095703341127623269573707
1. (curious(alice) <~> ~funny(alice)) <=> ? [X0] : (wise(X0) | ~brave(X0)) [input p0]
2. ? [X0] : (calm(X0) | tall(X0)) <=> ~curious(alice) [input p1]
3. ! [X0] : ((~creative(X0) | ~wise(X0)) => (curious(X0) ... | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa. Everyone who is both humble and tall is wise or not humble. Everyone who is not quiet or calm is old. Everyone who is either not creative or not generous is funny. Everyone who is not old or not humble is not tall or happy ... | John is funny. | entailment | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((humble(X)&tall(X))=>(wise(X)|~humble(X))))&
(![X]:((~quiet(X)|calm(X))=>old(X)))&
(![X]:((~creative(X)<~>~generous(X))=>funny(X)))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X... | funny(john) | [
"p0",
"p4",
"p6",
"p9",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4634910054771702230828380
% SZS output start Proof for 4634910054771702230828380
1. ? [X0] : (~creative(X0) | ~strong(X0)) <=> (wise(john) & ~creative(john)) [input p0]
5. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (happy(X0) | ~tall(X0))) [input p4]
7. ! [X0] : (~old(X0) => (~happy(X0) & ~ta... | 0 |
Everyone who is humble is not generous or not humble and vice versa. Everyone who is either not wise or old is not curious or kind. Everyone who is old is both not generous and not curious and vice versa. Everyone who is either kind or not humble is both not old and humble. Everyone who is either brave or happy is not ... | Paul is tall. | neutral | (![X]:(humble(X)<=>(~generous(X)|~humble(X))))&
(![X]:((~wise(X)<~>old(X))=>(~curious(X)|kind(X))))&
(![X]:(old(X)<=>(~generous(X)&~curious(X))))&
(![X]:((kind(X)<~>~humble(X))=>(~old(X)&humble(X))))&
(![X]:((brave(X)<~>happy(X))<=>(~old(X)|funny(X))))&
(((~creative(lucy)<~>calm(lucy)))=>((~creative(susan)|~generous(su... | tall(paul) | [] | null | 0 |
If mary is rich then alice is both wise and not patient and vice versa. Everyone who is brave is either generous or not calm. Everyone who is both not patient and wise is curious and vice versa. Everyone who is either patient or strong is either not old or tall. Everyone who is brave or not calm is either not kind or b... | Susan is not humble. | entailment | ((rich(mary))<=>((wise(alice)&~patient(alice))))&
(![X]:(brave(X)=>(generous(X)<~>~calm(X))))&
(![X]:((~patient(X)&wise(X))<=>curious(X)))&
(![X]:((patient(X)<~>strong(X))=>(~old(X)<~>tall(X))))&
(![X]:((brave(X)|~calm(X))=>(~kind(X)<~>brave(X))))&
((?[X]:((~rich(X)<~>old(X))))=>((wise(john)<~>curious(john))))&
(![X]:(... | ~humble(susan) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8753768358494452750656729
% SZS output start Proof for 8753768358494452750656729
3. ! [X0] : ((wise(X0) & ~patient(X0)) <=> curious(X0)) [input p2]
13. ! [X0] : ((humble(X0) | happy(X0)) => (curious(X0) & patient(X0))) [input p12]
25. humble(susan) [input hypothesis]
36. ! [X0] : ((curiou... | 0 |
If paul is not patient or not humble then someone is tall or not quiet and vice versa.
Everyone who is either not generous or not creative is not funny or not old and vice versa.
Everyone who is either strong or not tall is old or creative and vice versa.
If someone is not creative then fred is both generous and not wi... | Alice is creative. | neutral | (((~patient(paul)|~humble(paul)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~generous(X)<~>~creative(X))<=>(~funny(X)|~old(X))))&
(![X]:((strong(X)<~>~tall(X))<=>(old(X)|creative(X))))&
((?[X]:(~creative(X)))<=>((generous(fred)&~wise(fred))))&
(![X]:(~quiet(X)=>(~curious(X)|calm(X))))&
((~humble(lucy))<=>(?[X]:((~kind(X... | creative(alice) | [] | null | 0 |
If someone is not brave or not creative then fred is not patient or not creative and vice versa.
If alice is old or quiet then someone is happy and vice versa.
If fred is not calm or not brave then someone is curious or not old.
If john is kind then someone is quiet or creative and vice versa.
If john is kind or old th... | Alice is old. | neutral | ((?[X]:((~brave(X)|~creative(X))))<=>((~patient(fred)|~creative(fred))))&
(((old(alice)|quiet(alice)))<=>(?[X]:(happy(X))))&
(((~calm(fred)|~brave(fred)))=>(?[X]:((curious(X)|~old(X)))))&
((kind(john))<=>(?[X]:((quiet(X)|creative(X)))))&
(((kind(john)|old(john)))=>((~kind(paul)<~>~quiet(paul))))&
(![X]:(tall(X)=>(~quie... | old(alice) | [] | null | 0 |
If susan is happy then someone is old or not rich and vice versa. If someone is not brave then susan is not quiet. Everyone who is not rich is either not humble or not patient. If fred is both generous and happy then fred is generous and vice versa. Everyone who is old is not tall. If someone is both not curious and no... | Alice is not old. | entailment | ((happy(susan))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~brave(X)))=>(~quiet(susan)))&
(![X]:(~rich(X)=>(~humble(X)<~>~patient(X))))&
(((generous(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:(old(X)=>~tall(X)))&
((?[X]:((~curious(X)&~quiet(X))))=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~kind(X))=>(humble... | ~old(alice) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2740339626633555189701235
% SZS output start Proof for 2740339626633555189701235
1. happy(susan) <=> ? [X0] : (~rich(X0) | old(X0)) [input p0]
23. ~happy(susan) & ~funny(susan) [input p22]
25. old(alice) [input hypothesis]
40. (happy(susan) | ! [X0] : (rich(X0) & ~old(X0))) & (? [X0] : (~... | 0 |
If someone is not brave or not calm then john is not funny or not wise and vice versa.
If someone is not tall then susan is either rich or happy.
Everyone who is both not tall and calm is either not kind or happy.
Everyone who is not patient is both not old and happy and vice versa.
Everyone who is happy is generous or... | Fred is not funny. | entailment | ((?[X]:((~brave(X)|~calm(X))))<=>((~funny(john)|~wise(john))))&
((?[X]:(~tall(X)))=>((rich(susan)<~>happy(susan))))&
(![X]:((~tall(X)&calm(X))=>(~kind(X)<~>happy(X))))&
(![X]:(~patient(X)<=>(~old(X)&happy(X))))&
(![X]:(happy(X)<=>(generous(X)|wise(X))))&
(![X]:((funny(X)|~rich(X))=>(creative(X)&~creative(X))))&
(((happ... | ~funny(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4775191493705428994245576
% SZS output start Proof for 4775191493705428994245576
6. ! [X0] : ((~rich(X0) | funny(X0)) => (~creative(X0) & creative(X0))) [input p5]
25. funny(fred) [input hypothesis]
31. ! [X0] : ((~creative(X0) & creative(X0)) | (rich(X0) & ~funny(X0))) [ennf transformati... | 0 |
If john is not strong or not brave then someone is either humble or rich. If someone is tall then someone is both calm and creative. If someone is either strong or not curious then fred is old or wise. Everyone who is not old is both not strong and not calm. If someone is not kind or quiet then someone is both not gene... | Alice is strong. | neutral | (((~strong(john)|~brave(john)))=>(?[X]:((humble(X)<~>rich(X)))))&
((?[X]:(tall(X)))=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((strong(X)<~>~curious(X))))=>((old(fred)|wise(fred))))&
(![X]:(~old(X)=>(~strong(X)&~calm(X))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~happy(X)<~>curious(X))<... | strong(alice) | [] | null | 0 |
If someone is either not calm or rich then alice is both not curious and not kind and vice versa. If someone is not brave or not quiet then someone is either wise or not calm. If john is either not humble or not wise then someone is creative or not rich and vice versa. If paul is quiet or generous then someone is not c... | John is calm. | contradiction | ((?[X]:((~calm(X)<~>rich(X))))<=>((~curious(alice)&~kind(alice))))&
((?[X]:((~brave(X)|~quiet(X))))=>(?[X]:((wise(X)<~>~calm(X)))))&
(((~humble(john)<~>~wise(john)))<=>(?[X]:((creative(X)|~rich(X)))))&
(((quiet(paul)|generous(paul)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~quiet(X)|old(X))=>(curious(X)&happy(X))))&
((... | calm(john) | [
"p4",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2778645922717965038943137
% SZS output start Proof for 2778645922717965038943137
5. ! [X0] : ((old(X0) | ~quiet(X0)) => (happy(X0) & curious(X0))) [input p4]
6. ? [X0] : calm(X0) <=> (funny(paul) <~> old(paul)) [input p5]
8. ! [X0] : ((old(X0) <~> funny(X0)) <=> (quiet(X0) <~> ~happy(X0))... | 0 |
Everyone who is either kind or not tall is not calm and vice versa.
Everyone who is not curious is both not happy and generous and vice versa.
Everyone who is not wise or not strong is either old or not curious and vice versa.
Everyone who is either happy or not generous is either not happy or not funny and vice versa.... | Paul is funny. | entailment | (![X]:((kind(X)<~>~tall(X))<=>~calm(X)))&
(![X]:(~curious(X)<=>(~happy(X)&generous(X))))&
(![X]:((~wise(X)|~strong(X))<=>(old(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~happy(X)<~>~funny(X))))&
(((creative(alice)|curious(alice)))=>((~old(paul)|funny(paul))))&
(![X]:((~rich(X)<~>generous(X))=>(happy(X)|~o... | funny(paul) | [
"p3",
"p6",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7986126310450423218922975
% SZS output start Proof for 7986126310450423218922975
4. ! [X0] : ((happy(X0) <~> ~generous(X0)) <=> (~happy(X0) <~> ~funny(X0))) [input p3]
7. ! [X0] : ((~brave(X0) & tall(X0)) <=> generous(X0)) [input p6]
9. ? [X0] : ~calm(X0) <=> ? [X0] : creative(X0) [input ... | 0 |
Everyone who is either wise or happy is both curious and not kind and vice versa.
If john is not brave or not rich then susan is either calm or kind and vice versa.
Everyone who is either brave or quiet is wise or calm and vice versa.
Everyone who is both not happy and not kind is creative or not brave and vice versa.
... | Paul is tall. | neutral | (![X]:((wise(X)<~>happy(X))<=>(curious(X)&~kind(X))))&
(((~brave(john)|~rich(john)))<=>((calm(susan)<~>kind(susan))))&
(![X]:((brave(X)<~>quiet(X))<=>(wise(X)|calm(X))))&
(![X]:((~happy(X)&~kind(X))<=>(creative(X)|~brave(X))))&
(![X]:((~curious(X)|creative(X))<=>calm(X)))&
(![X]:((calm(X)&creative(X))=>(~creative(X)|~o... | tall(paul) | [] | null | 0 |
Everyone who is both calm and not strong is not generous.
Everyone who is either creative or funny is both not calm and not funny.
If susan is either not strong or not happy then lucy is both kind and not curious.
Everyone who is either strong or humble is either brave or curious.
If susan is both not tall and not brav... | Paul is rich. | entailment | (![X]:((calm(X)&~strong(X))=>~generous(X)))&
(![X]:((creative(X)<~>funny(X))=>(~calm(X)&~funny(X))))&
(((~strong(susan)<~>~happy(susan)))=>((kind(lucy)&~curious(lucy))))&
(![X]:((strong(X)<~>humble(X))=>(brave(X)<~>curious(X))))&
(((~tall(susan)&~brave(susan)))<=>((~funny(fred)|strong(fred))))&
((creative(lucy))<=>(fun... | rich(paul) | [
"p1",
"p9",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 32982768246404662971110
% SZS output start Proof for 32982768246404662971110
2. ! [X0] : ((creative(X0) <~> funny(X0)) => (~funny(X0) & ~calm(X0))) [input p1]
10. ! [X0] : (~rich(X0) => (strong(X0) <~> ~patient(X0))) [input p9]
12. ! [X0] : (creative(X0) => (~calm(X0) & strong(X0))) [inpu... | 0 |
Everyone who is both humble and not curious is either humble or not calm. If alice is either not funny or patient then someone is both brave and wise. If mary is not patient then someone is tall and vice versa. If fred is both kind and not curious then alice is both not quiet and creative and vice versa. Everyone who i... | Paul is wise. | entailment | (![X]:((humble(X)&~curious(X))=>(humble(X)<~>~calm(X))))&
(((~funny(alice)<~>patient(alice)))=>(?[X]:((brave(X)&wise(X)))))&
((~patient(mary))<=>(?[X]:(tall(X))))&
(((kind(fred)&~curious(fred)))<=>((~quiet(alice)&creative(alice))))&
(![X]:((~wise(X)<~>~strong(X))=>(~humble(X)|tall(X))))&
(![X]:((curious(X)|~humble(X))=... | wise(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8602806780606775226936690
% SZS output start Proof for 8602806780606775226936690
14. ! [X0] : ((~wise(X0) | ~creative(X0)) => wise(X0)) [input p13]
25. ~wise(paul) [input hypothesis]
39. ! [X0] : (wise(X0) | (wise(X0) & creative(X0))) [ennf transformation 14]
132. wise(X0) | wise(X0) [cnf... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If someone is both not generous and calm then mary is quiet or happy.
If someone is either not rich or not funny then someone is not humble.
Everyone who is old or not quiet is humble and vice versa.
If someone is both not strong and wis... | John is creative. | entailment | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((~generous(X)&calm(X))))=>((quiet(mary)|happy(mary))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:(~humble(X))))&
(![X]:((old(X)|~quiet(X))<=>humble(X)))&
((?[X]:((~strong(X)&wise(X))))<=>(?[X]:(wise(X))))&
(((humble(paul)<~>~tall(paul)))=>(~creative(mary... | creative(john) | [
"p0",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8666352689724037011548611
% SZS output start Proof for 8666352689724037011548611
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | old(X0)) <=> humble(X0)) [input p3]
7. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> generous(X0))... | 0 |
Everyone who is quiet or not brave is both not humble and curious and vice versa.
If susan is either funny or not strong then john is not quiet or strong and vice versa.
If someone is curious or old then lucy is both rich and not creative.
If fred is not funny then lucy is either not old or curious and vice versa.
Ever... | Susan is not old. | entailment | (![X]:((quiet(X)|~brave(X))<=>(~humble(X)&curious(X))))&
(((funny(susan)<~>~strong(susan)))<=>((~quiet(john)|strong(john))))&
((?[X]:((curious(X)|old(X))))=>((rich(lucy)&~creative(lucy))))&
((~funny(fred))<=>((~old(lucy)<~>curious(lucy))))&
(![X]:((~generous(X)<~>~curious(X))=>(~calm(X)|~wise(X))))&
((humble(fred))=>(?... | ~old(susan) | [
"p2",
"p7",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2699956554979305056350255
% SZS output start Proof for 2699956554979305056350255
3. ? [X0] : (old(X0) | curious(X0)) => (~creative(lucy) & rich(lucy)) [input p2]
8. ~wise(lucy) <=> ? [X0] : (tall(X0) <~> ~creative(X0)) [input p7]
13. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (~creative(X0... | 0 |
Everyone who is curious is either strong or happy and vice versa. Everyone who is old is calm or not wise and vice versa. Everyone who is happy or strong is not strong. Everyone who is both quiet and not brave is either tall or not brave and vice versa. If lucy is both old and not generous then paul is either calm or n... | Mary is not brave. | entailment | (![X]:(curious(X)<=>(strong(X)<~>happy(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(![X]:((happy(X)|strong(X))=>~strong(X)))&
(![X]:((quiet(X)&~brave(X))<=>(tall(X)<~>~brave(X))))&
(((old(lucy)&~generous(lucy)))=>((calm(paul)<~>~tall(paul))))&
(![X]:((creative(X)|wise(X))<=>(calm(X)<~>strong(X))))&
(![X]:((~wise(X)<~>... | ~brave(mary) | [
"p1",
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1834380025902697519512771
% SZS output start Proof for 1834380025902697519512771
2. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | happy(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((wise(X0) | creative(X0)) <=> (calm(X0) <~> strong(X0))) [input p5]
9.... | 0 |
Everyone who is either not curious or wise is both not humble and calm.
Everyone who is patient or not humble is not old or creative.
Everyone who is kind is not curious or not creative and vice versa.
If john is not funny then lucy is either wise or not creative.
If someone is either happy or not patient then john is ... | Paul is not quiet. | neutral | (![X]:((~curious(X)<~>wise(X))=>(~humble(X)&calm(X))))&
(![X]:((patient(X)|~humble(X))=>(~old(X)|creative(X))))&
(![X]:(kind(X)<=>(~curious(X)|~creative(X))))&
((~funny(john))=>((wise(lucy)<~>~creative(lucy))))&
((?[X]:((happy(X)<~>~patient(X))))=>((~funny(john)|kind(john))))&
((?[X]:((~brave(X)|funny(X))))<=>((~humble... | ~quiet(paul) | [] | null | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both strong and not humble then paul is both not creative and not old and vice versa.
Everyone who is both humble and brave is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not o... | Mary is not wise. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((pa... | ~wise(mary) | [
"p2",
"p5",
"p9",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7280159979371396275291428
% SZS output start Proof for 7280159979371396275291428
3. ! [X0] : ((brave(X0) & humble(X0)) <=> ~creative(X0)) [input p2]
6. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p5]
10. ! [X0] : ((humble(X0) & ~creative(X0)) <=> (humble(X0) & quiet(X0))) ... | 0 |
If someone is either generous or patient then john is wise or not quiet and vice versa.
Everyone who is both funny and strong is generous.
If someone is both wise and not creative then someone is either funny or not patient and vice versa.
Everyone who is not creative or funny is creative or tall and vice versa.
Everyo... | Susan is creative. | contradiction | ((?[X]:((generous(X)<~>patient(X))))<=>((wise(john)|~quiet(john))))&
(![X]:((funny(X)&strong(X))=>generous(X)))&
((?[X]:((wise(X)&~creative(X))))<=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((~creative(X)|funny(X))<=>(creative(X)|tall(X))))&
(![X]:((old(X)<~>calm(X))=>(~wise(X)&~calm(X))))&
(![X]:((curious(X)<~>patient... | creative(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2509480676181181432285404
% SZS output start Proof for 2509480676181181432285404
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (tall(X0) | creative(X0))) [input p3]
7. ! [X0] : ((~wise(X0) | funny(X0)) => ~creative(X0)) [input p6]
19. creative(susan) [input hypothesis]
25. ! [X0] : (~creat... | 0 |
If someone is generous or not generous then someone is either not rich or not curious and vice versa.
If someone is happy then someone is not happy or kind.
If someone is either calm or not funny then someone is both calm and generous and vice versa.
If someone is both happy and not tall then someone is either not kind... | Alice is old. | contradiction | ((?[X]:((generous(X)|~generous(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)|kind(X)))))&
((?[X]:((calm(X)<~>~funny(X))))<=>(?[X]:((calm(X)&generous(X)))))&
((?[X]:((happy(X)&~tall(X))))=>(?[X]:((~kind(X)<~>calm(X)))))&
((happy(mary))=>(?[X]:(wise(X))))&
(![X]:((creative(X)&quiet(X))... | old(alice) | [
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6439828125058338099188055
% SZS output start Proof for 6439828125058338099188055
10. ! [X0] : (old(X0) <=> ~creative(X0)) [input p9]
13. ! [X0] : (~happy(X0) => creative(X0)) [input p12]
14. ! [X0] : ((happy(X0) | creative(X0)) => (~creative(X0) <~> happy(X0))) [input p13]
25. old(alice) ... | 0 |
Everyone who is both funny and not happy is both generous and not strong and vice versa.
If fred is both quiet and generous then paul is quiet or tall and vice versa.
Everyone who is either not kind or not strong is both happy and not old and vice versa.
Everyone who is not old or brave is funny and vice versa.
If some... | Susan is not kind. | neutral | (![X]:((funny(X)&~happy(X))<=>(generous(X)&~strong(X))))&
(((quiet(fred)&generous(fred)))<=>((quiet(paul)|tall(paul))))&
(![X]:((~kind(X)<~>~strong(X))<=>(happy(X)&~old(X))))&
(![X]:((~old(X)|brave(X))<=>funny(X)))&
((?[X]:((~brave(X)|~curious(X))))<=>((~wise(john)<~>~patient(john))))&
(![X]:(wise(X)<=>(~wise(X)&~quiet... | ~kind(susan) | [] | null | 0 |
If someone is creative then someone is either not generous or creative and vice versa. Everyone who is not patient is both old and not patient. Everyone who is both not curious and brave is both not generous and old and vice versa. If someone is quiet or happy then john is either not calm or not wise and vice versa. Ev... | Alice is not wise. | entailment | ((?[X]:(creative(X)))<=>(?[X]:((~generous(X)<~>creative(X)))))&
(![X]:(~patient(X)=>(old(X)&~patient(X))))&
(![X]:((~curious(X)&brave(X))<=>(~generous(X)&old(X))))&
((?[X]:((quiet(X)|happy(X))))<=>((~calm(john)<~>~wise(john))))&
(![X]:(humble(X)<=>(~funny(X)<~>~wise(X))))&
((?[X]:((kind(X)&happy(X))))<=>(funny(fred)))&... | ~wise(alice) | [
"p13",
"p14",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3065505946047453796718003
% SZS output start Proof for 3065505946047453796718003
14. ! [X0] : ((~tall(X0) <~> quiet(X0)) <=> (curious(X0) | ~strong(X0))) [input p13]
15. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> tall(X0)) [input p14]
17. quiet(alice) [input p16]
24. ~curious(alice) [input ... | 0 |
If someone is kind then lucy is wise or funny. If mary is tall or quiet then lucy is either not rich or not creative. Everyone who is creative is both not happy and curious. Everyone who is both not quiet and patient is rich and vice versa. If someone is kind then alice is both not happy and humble. Everyone who is eit... | Alice is not quiet. | entailment | ((?[X]:(kind(X)))=>((wise(lucy)|funny(lucy))))&
(((tall(mary)|quiet(mary)))=>((~rich(lucy)<~>~creative(lucy))))&
(![X]:(creative(X)=>(~happy(X)&curious(X))))&
(![X]:((~quiet(X)&patient(X))<=>rich(X)))&
((?[X]:(kind(X)))=>((~happy(alice)&humble(alice))))&
(![X]:((patient(X)<~>~strong(X))<=>(~generous(X)<~>curious(X))))&... | ~quiet(alice) | [
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7220487565886578814923213
% SZS output start Proof for 7220487565886578814923213
4. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> rich(X0)) [input p3]
9. ~curious(alice) <=> ? [X0] : ~rich(X0) [input p8]
14. ! [X0] : (rich(X0) <=> ~curious(X0)) [input p13]
25. quiet(alice) [input hypothesis]
3... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | Lucy is not funny. | entailment | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | ~funny(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1901134259306475847692787
% SZS output start Proof for 1901134259306475847692787
10. ! [X0] : ((funny(X0) | tall(X0)) => (~quiet(X0) & ~funny(X0))) [input p9]
23. funny(lucy) [input hypothesis]
31. ! [X0] : ((~quiet(X0) & ~funny(X0)) | (~funny(X0) & ~tall(X0))) [ennf transformation 10]
89... | 0 |
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