premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | Lucy is not tall. | contradiction | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | ~tall(lucy) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 330817795132499779691478
% SZS output start Proof for 330817795132499779691478
1. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & wise(X0)) <=> ? [X0] : (quiet(X0) & humble(X0)) [input p1]
7. ! [X0] : (brave(X0) <=> (wise(X0) <~> cre... | 0 |
Everyone who is both old and creative is not tall or not calm and vice versa.
If someone is not patient or not quiet then lucy is curious or strong.
If someone is either not old or not strong then someone is old or wise and vice versa.
If mary is wise then someone is either not funny or not old.
Everyone who is either ... | Lucy is not wise. | neutral | (![X]:((old(X)&creative(X))<=>(~tall(X)|~calm(X))))&
((?[X]:((~patient(X)|~quiet(X))))=>((curious(lucy)|strong(lucy))))&
((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((old(X)|wise(X)))))&
((wise(mary))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~curious(X)<~>~calm(X))=>~creative(X)))&
(![X]:(~funny(X)=>(~old(X)|~kind(X))))&... | ~wise(lucy) | [] | null | 0 |
Everyone who is either not patient or wise is not creative or not funny.
Everyone who is both creative and quiet is not humble and vice versa.
If lucy is curious or not rich then alice is either old or not patient.
If fred is both curious and strong then someone is curious or calm and vice versa.
If lucy is not generou... | Fred is tall. | contradiction | (![X]:((~patient(X)<~>wise(X))=>(~creative(X)|~funny(X))))&
(![X]:((creative(X)&quiet(X))<=>~humble(X)))&
(((curious(lucy)|~rich(lucy)))=>((old(alice)<~>~patient(alice))))&
(((curious(fred)&strong(fred)))<=>(?[X]:((curious(X)|calm(X)))))&
((~generous(lucy))=>((calm(john)&curious(john))))&
(((funny(paul)|tall(paul)))=>(... | tall(fred) | [
"p3",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2695602049149535459343298
% SZS output start Proof for 2695602049149535459343298
4. (strong(fred) & curious(fred)) <=> ? [X0] : (calm(X0) | curious(X0)) [input p3]
17. curious(mary) [input p16]
22. curious(fred) <~> tall(fred) [input p21]
25. tall(fred) [input hypothesis]
43. ((strong(fre... | 0 |
Everyone who is both wise and not humble is both brave and tall. Everyone who is either happy or not brave is either creative or not tall. If someone is both not calm and patient then susan is wise or not curious and vice versa. If alice is quiet or not tall then someone is not rich or not wise. Everyone who is either ... | Mary is not quiet. | contradiction | (![X]:((wise(X)&~humble(X))=>(brave(X)&tall(X))))&
(![X]:((happy(X)<~>~brave(X))=>(creative(X)<~>~tall(X))))&
((?[X]:((~calm(X)&patient(X))))<=>((wise(susan)|~curious(susan))))&
(((quiet(alice)|~tall(alice)))=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:((~humble(X)<~>~generous(X))<=>(wise(X)|~old(X))))&
(![X]:((~happy(X)&cur... | ~quiet(mary) | [
"p6",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2023329260867013641986661
% SZS output start Proof for 2023329260867013641986661
7. ! [X0] : ((humble(X0) | ~rich(X0)) => ~rich(X0)) [input p6]
17. humble(mary) [input p16]
18. quiet(mary) <~> rich(mary) [input p17]
25. ~quiet(mary) [input hypothesis]
31. ! [X0] : (~rich(X0) | (~humble(X0... | 0 |
Everyone who is creative is not tall or not old. Everyone who is both not humble and not patient is either not calm or not brave and vice versa. If fred is not tall or not rich then someone is happy or creative. Everyone who is not humble or brave is not wise or not curious. If lucy is either not wise or rich then some... | Lucy is not brave. | entailment | (![X]:(creative(X)=>(~tall(X)|~old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~calm(X)<~>~brave(X))))&
(((~tall(fred)|~rich(fred)))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~humble(X)|brave(X))=>(~wise(X)|~curious(X))))&
(((~wise(lucy)<~>rich(lucy)))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((~patient(X)&~creative(X))<... | ~brave(lucy) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3963144205053153835903469
% SZS output start Proof for 3963144205053153835903469
10. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~patient(X0) <~> patient(X0))) [input p9]
14. ! [X0] : (~tall(X0) => (~brave(X0) & rich(X0))) [input p13]
22. brave(lucy) [input hypothesis]
34. ! [X0] : ((~brave(X0)... | 0 |
If susan is both not wise and quiet then someone is both not humble and creative.
Everyone who is either not humble or not wise is quiet or kind and vice versa.
If fred is not funny or curious then john is both not curious and quiet.
Everyone who is calm is brave or happy and vice versa.
Everyone who is not happy or cr... | Fred is strong. | contradiction | (((~wise(susan)&quiet(susan)))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~humble(X)<~>~wise(X))<=>(quiet(X)|kind(X))))&
(((~funny(fred)|curious(fred)))=>((~curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(brave(X)|happy(X))))&
(![X]:((~happy(X)|creative(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)|~wise(X))<=>... | strong(fred) | [
"p3",
"p5",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3300228841003837842733615
% SZS output start Proof for 3300228841003837842733615
4. ! [X0] : (calm(X0) <=> (happy(X0) | brave(X0))) [input p3]
6. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (~quiet(X0) <~> ~happy(X0))) [input p5]
12. ? [X0] : (~creative(X0) & humble(X0)) <=> ? [X0] : (happy(X0... | 0 |
If someone is either not curious or funny then john is patient.
Everyone who is both humble and strong is not curious or curious and vice versa.
Everyone who is kind or humble is both not patient and calm.
If someone is not wise or not generous then alice is not happy and vice versa.
If fred is either not rich or brave... | John is not happy. | neutral | ((?[X]:((~curious(X)<~>funny(X))))=>(patient(john)))&
(![X]:((humble(X)&strong(X))<=>(~curious(X)|curious(X))))&
(![X]:((kind(X)|humble(X))=>(~patient(X)&calm(X))))&
((?[X]:((~wise(X)|~generous(X))))<=>(~happy(alice)))&
(((~rich(fred)<~>brave(fred)))<=>((~brave(lucy)&~patient(lucy))))&
(![X]:((~patient(X)&quiet(X))<=>(... | ~happy(john) | [] | null | 0 |
Everyone who is not old is both not funny and not wise.
If lucy is both happy and not humble then someone is brave or kind and vice versa.
Everyone who is patient is either funny or not quiet.
If someone is both curious and strong then alice is rich or not generous and vice versa.
Everyone who is not curious or not ric... | Mary is not curious. | contradiction | (![X]:(~old(X)=>(~funny(X)&~wise(X))))&
(((happy(lucy)&~humble(lucy)))<=>(?[X]:((brave(X)|kind(X)))))&
(![X]:(patient(X)=>(funny(X)<~>~quiet(X))))&
((?[X]:((curious(X)&strong(X))))<=>((rich(alice)|~generous(alice))))&
(![X]:((~curious(X)|~rich(X))=>(funny(X)&~funny(X))))&
((quiet(mary))<=>(?[X]:(happy(X))))&
((rich(ali... | ~curious(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6250744290604904092876652
% SZS output start Proof for 6250744290604904092876652
5. ! [X0] : ((~rich(X0) | ~curious(X0)) => (~funny(X0) & funny(X0))) [input p4]
22. ~curious(mary) [input hypothesis]
28. ! [X0] : ((~funny(X0) & funny(X0)) | (rich(X0) & curious(X0))) [ennf transformation 5]... | 0 |
Everyone who is patient is both not rich and not patient.
If fred is either not humble or rich then someone is not quiet or not humble.
Everyone who is generous is curious or not brave and vice versa.
Everyone who is not humble is either quiet or not funny and vice versa.
Everyone who is both not happy and wise is eith... | John is funny. | entailment | (![X]:(patient(X)=>(~rich(X)&~patient(X))))&
(((~humble(fred)<~>rich(fred)))=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:(generous(X)<=>(curious(X)|~brave(X))))&
(![X]:(~humble(X)<=>(quiet(X)<~>~funny(X))))&
(![X]:((~happy(X)&wise(X))=>(brave(X)<~>~old(X))))&
(![X]:(patient(X)<=>(~strong(X)|~calm(X))))&
(![X]:((tall(X)|cr... | funny(john) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2780790415386858147330132
% SZS output start Proof for 2780790415386858147330132
1. ! [X0] : (patient(X0) => (~patient(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> (~brave(X0) | curious(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> (quiet(X0) <~> ~funny(X0))) [input p3]
6. !... | 0 |
Everyone who is both not quiet and wise is both not strong and not quiet.
Everyone who is not generous is either funny or happy.
If paul is kind or curious then susan is either happy or tall.
Everyone who is either wise or creative is strong or not curious and vice versa.
If someone is either happy or generous then som... | Alice is generous. | entailment | (![X]:((~quiet(X)&wise(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~generous(X)=>(funny(X)<~>happy(X))))&
(((kind(paul)|curious(paul)))=>((happy(susan)<~>tall(susan))))&
(![X]:((wise(X)<~>creative(X))<=>(strong(X)|~curious(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((~brave(X)&wise(X)... | generous(alice) | [
"p1",
"p4",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2868911455189298378600200
% SZS output start Proof for 2868911455189298378600200
2. ! [X0] : (~generous(X0) => (funny(X0) <~> happy(X0))) [input p1]
5. ? [X0] : (happy(X0) <~> generous(X0)) <=> ? [X0] : (~patient(X0) & funny(X0)) [input p4]
7. ! [X0] : ((old(X0) | ~patient(X0)) <=> (~calm... | 0 |
Everyone who is happy or not brave is humble and vice versa.
Everyone who is strong is either not calm or quiet.
Everyone who is either happy or not tall is either humble or not patient and vice versa.
Everyone who is either not rich or curious is not strong or patient and vice versa.
If someone is curious or not gener... | Lucy is patient. | neutral | (![X]:((happy(X)|~brave(X))<=>humble(X)))&
(![X]:(strong(X)=>(~calm(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~tall(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)|patient(X))))&
((?[X]:((curious(X)|~generous(X))))=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~strong(X)... | patient(lucy) | [] | null | 0 |
If john is either strong or not rich then someone is both happy and not old.
Everyone who is not generous is brave or not brave.
Everyone who is funny or wise is both patient and wise.
If someone is both happy and tall then mary is tall.
Everyone who is old or not humble is either curious or quiet and vice versa.
Every... | Paul is quiet. | neutral | (((strong(john)<~>~rich(john)))=>(?[X]:((happy(X)&~old(X)))))&
(![X]:(~generous(X)=>(brave(X)|~brave(X))))&
(![X]:((funny(X)|wise(X))=>(patient(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))=>(tall(mary)))&
(![X]:((old(X)|~humble(X))<=>(curious(X)<~>quiet(X))))&
(![X]:((happy(X)<~>wise(X))<=>~quiet(X)))&
((?[X]:((~curious... | quiet(paul) | [] | null | 0 |
Everyone who is either not tall or rich is both curious and not quiet and vice versa. Everyone who is happy or patient is humble or not kind and vice versa. Everyone who is both not generous and creative is generous and vice versa. Everyone who is not tall is not curious. Everyone who is not calm or not happy is strong... | Fred is not rich. | contradiction | (![X]:((~tall(X)<~>rich(X))<=>(curious(X)&~quiet(X))))&
(![X]:((happy(X)|patient(X))<=>(humble(X)|~kind(X))))&
(![X]:((~generous(X)&creative(X))<=>generous(X)))&
(![X]:(~tall(X)=>~curious(X)))&
(![X]:((~calm(X)|~happy(X))<=>(strong(X)|patient(X))))&
(![X]:((~tall(X)|happy(X))=>(rich(X)<~>kind(X))))&
((?[X]:(humble(X)))... | ~rich(fred) | [
"p1",
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8594350729401276925706714
% SZS output start Proof for 8594350729401276925706714
2. ! [X0] : ((patient(X0) | happy(X0)) <=> (~kind(X0) | humble(X0))) [input p1]
6. ! [X0] : ((happy(X0) | ~tall(X0)) => (rich(X0) <~> kind(X0))) [input p5]
8. ! [X0] : (~wise(X0) => (~patient(X0) & ~curious(X... | 0 |
If someone is either not calm or not generous then paul is either quiet or not quiet.
If fred is both curious and wise then alice is not generous or not funny and vice versa.
Everyone who is both calm and happy is not patient.
Everyone who is brave is humble and vice versa.
Everyone who is not strong or calm is either ... | John is happy. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))=>((quiet(paul)<~>~quiet(paul))))&
(((curious(fred)&wise(fred)))<=>((~generous(alice)|~funny(alice))))&
(![X]:((calm(X)&happy(X))=>~patient(X)))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~strong(X)|calm(X))<=>(brave(X)<~>generous(X))))&
((?[X]:(tall(X)))=>((curious(fred)<~>~old(fred))))... | happy(john) | [
"p6",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 26940627478630927426730
% SZS output start Proof for 26940627478630927426730
7. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> ~funny(X0)) [input p6]
11. ! [X0] : ((~curious(X0) & ~funny(X0)) <=> (generous(X0) & ~happy(X0))) [input p10]
15. ! [X0] : (~curious(X0) <=> (wise(X0) <~> funny(X0))) [i... | 0 |
Everyone who is both not strong and not funny is patient. If someone is not old or not humble then fred is both old and humble. Everyone who is happy or humble is not funny or not happy. Everyone who is either not rich or quiet is not generous or happy and vice versa. Everyone who is not humble or humble is not creativ... | Paul is curious. | entailment | (![X]:((~strong(X)&~funny(X))=>patient(X)))&
((?[X]:((~old(X)|~humble(X))))=>((old(fred)&humble(fred))))&
(![X]:((happy(X)|humble(X))=>(~funny(X)|~happy(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|happy(X))))&
(![X]:((~humble(X)|humble(X))<=>~creative(X)))&
(![X]:((generous(X)&~kind(X))<=>~patient(X)))&
(![X]:(... | curious(paul) | [
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5806657612431566359468826
% SZS output start Proof for 5806657612431566359468826
5. ! [X0] : ((humble(X0) | ~humble(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((~kind(X0) & generous(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (wise(X0) & creative(X0))) [... | 0 |
If mary is not happy or rich then alice is either creative or not curious and vice versa. Everyone who is calm or not kind is both not rich and not strong and vice versa. Everyone who is quiet or not tall is either not calm or patient and vice versa. Everyone who is not humble is either not old or curious. If someone i... | John is patient. | neutral | (((~happy(mary)|rich(mary)))<=>((creative(alice)<~>~curious(alice))))&
(![X]:((calm(X)|~kind(X))<=>(~rich(X)&~strong(X))))&
(![X]:((quiet(X)|~tall(X))<=>(~calm(X)<~>patient(X))))&
(![X]:(~humble(X)=>(~old(X)<~>curious(X))))&
((?[X]:((wise(X)&patient(X))))=>((~curious(lucy)|humble(lucy))))&
(![X]:((~funny(X)|~generous(X... | patient(john) | [] | null | 0 |
Everyone who is not old or not quiet is both curious and not happy.
If susan is both rich and not old then mary is not strong and vice versa.
Everyone who is not happy is both not generous and not humble.
If someone is not patient then susan is not rich.
Everyone who is not tall or not patient is both not patient and n... | Susan is not rich. | neutral | (![X]:((~old(X)|~quiet(X))=>(curious(X)&~happy(X))))&
(((rich(susan)&~old(susan)))<=>(~strong(mary)))&
(![X]:(~happy(X)=>(~generous(X)&~humble(X))))&
((?[X]:(~patient(X)))=>(~rich(susan)))&
(![X]:((~tall(X)|~patient(X))=>(~patient(X)&~old(X))))&
(((creative(fred)|~old(fred)))=>((creative(john)|~curious(john))))&
(![X]:... | ~rich(susan) | [] | null | 0 |
Everyone who is not patient is not tall. Everyone who is either not happy or quiet is not strong. If someone is both not rich and wise then someone is either generous or not creative and vice versa. If fred is both tall and kind then someone is not rich or old. If alice is both curious and not strong then someone is wi... | Alice is not creative. | neutral | (![X]:(~patient(X)=>~tall(X)))&
(![X]:((~happy(X)<~>quiet(X))=>~strong(X)))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:((generous(X)<~>~creative(X)))))&
(((tall(fred)&kind(fred)))=>(?[X]:((~rich(X)|old(X)))))&
(((curious(alice)&~strong(alice)))=>(?[X]:(wise(X))))&
(![X]:((curious(X)&~generous(X))<=>(~creative(X)<~>curious(X... | ~creative(alice) | [] | null | 0 |
If someone is wise or not kind then someone is both generous and tall and vice versa. If john is brave or strong then someone is not quiet. Everyone who is either not quiet or not strong is either happy or not kind and vice versa. If someone is not generous then fred is rich. If someone is both not patient and tall the... | Fred is creative. | entailment | ((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(((brave(john)|strong(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)... | creative(fred) | [
"p8",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4726218027278709102855216
% SZS output start Proof for 4726218027278709102855216
9. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p8]
13. ! [X0] : ((~old(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p12]
15. (funny(fred) <~> ~creative(fred)) => ? [X0] : (funny(X0) & ~... | 0 |
Everyone who is either kind or not humble is not creative.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not quiet or not ... | Susan is quiet. | entailment | (![X]:((kind(X)<~>~humble(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]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((... | quiet(susan) | [
"p1",
"p3",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1966697857440182892572288
% SZS output start Proof for 1966697857440182892572288
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((rich(X0) | calm(X0)) => (~rich(X0) <~> ~brave(X0))) [input p5]
... | 0 |
If susan is both strong and old then alice is not patient and vice versa.
Everyone who is not humble is both not wise and quiet.
Everyone who is either tall or wise is humble and vice versa.
Everyone who is patient or wise is generous or not brave.
If paul is both tall and not rich then someone is strong and vice versa... | Alice is not generous. | contradiction | (((strong(susan)&old(susan)))<=>(~patient(alice)))&
(![X]:(~humble(X)=>(~wise(X)&quiet(X))))&
(![X]:((tall(X)<~>wise(X))<=>humble(X)))&
(![X]:((patient(X)|wise(X))=>(generous(X)|~brave(X))))&
(((tall(paul)&~rich(paul)))<=>(?[X]:(strong(X))))&
(![X]:((~strong(X)|generous(X))=>(~rich(X)<~>~wise(X))))&
(![X]:((quiet(X)&~h... | ~generous(alice) | [
"p0",
"p3",
"p4",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2329506709284312020228239
% SZS output start Proof for 2329506709284312020228239
1. (old(susan) & strong(susan)) <=> ~patient(alice) [input p0]
4. ! [X0] : ((wise(X0) | patient(X0)) => (~brave(X0) | generous(X0))) [input p3]
5. (~rich(paul) & tall(paul)) <=> ? [X0] : strong(X0) [input p4]... | 0 |
Everyone who is not patient or not brave is not old or creative. If alice is both not humble and tall then alice is either not old or not kind and vice versa. Everyone who is both generous and patient is both not old and not strong and vice versa. If susan is not wise then paul is both humble and calm. If mary is both ... | John is wise. | neutral | (![X]:((~patient(X)|~brave(X))=>(~old(X)|creative(X))))&
(((~humble(alice)&tall(alice)))<=>((~old(alice)<~>~kind(alice))))&
(![X]:((generous(X)&patient(X))<=>(~old(X)&~strong(X))))&
((~wise(susan))=>((humble(paul)&calm(paul))))&
(((~funny(mary)&tall(mary)))=>((wise(susan)|kind(susan))))&
(((brave(susan)|~quiet(susan)))... | wise(john) | [] | null | 0 |
If someone is not brave then someone is not calm or patient and vice versa.
Everyone who is either not calm or not generous is both patient and tall and vice versa.
If someone is calm then someone is both old and happy.
If susan is both rich and generous then someone is both quiet and happy and vice versa.
Everyone who... | John is not funny. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~calm(X)<~>~generous(X))<=>(patient(X)&tall(X))))&
((?[X]:(calm(X)))=>(?[X]:((old(X)&happy(X)))))&
(((rich(susan)&generous(susan)))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((~quiet(X)|~tall(X))=>(kind(X)&~funny(X))))&
((?[X]:((curious(X)|tall(X))))<=>(?[X]:(... | ~funny(john) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2771555043002889517229052
% SZS output start Proof for 2771555043002889517229052
5. ! [X0] : ((~tall(X0) | ~quiet(X0)) => (~funny(X0) & kind(X0))) [input p4]
6. ? [X0] : (tall(X0) | curious(X0)) <=> ? [X0] : (~kind(X0) & kind(X0)) [input p5]
19. funny(john) [input hypothesis]
22. ? [X0] :... | 0 |
If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If someone is both funny and happy then someone is both brave and happy. Everyone who is either not funn... | Susan is not curious. | entailment | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(happy(X)&~old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~humble(X... | ~curious(susan) | [
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6273593210411629592966843
% SZS output start Proof for 6273593210411629592966843
2. ! [X0] : ((curious(X0) | ~old(X0)) => (~strong(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~old(X0) & happy(X0))) [input p4]
9. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~strong(X... | 0 |
Everyone who is happy or not patient is not humble and vice versa.
If someone is creative then alice is strong and vice versa.
If lucy is not wise or generous then john is curious and vice versa.
If paul is not tall or tall then paul is not wise or happy.
If someone is not tall then susan is not old or not generous.
Ev... | John is humble. | contradiction | (![X]:((happy(X)|~patient(X))<=>~humble(X)))&
((?[X]:(creative(X)))<=>(strong(alice)))&
(((~wise(lucy)|generous(lucy)))<=>(curious(john)))&
(((~tall(paul)|tall(paul)))=>((~wise(paul)|happy(paul))))&
((?[X]:(~tall(X)))=>((~old(susan)|~generous(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(~generous(X)&~strong(X))))&
(![X]:... | humble(john) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2081825476955765716229960
% SZS output start Proof for 2081825476955765716229960
1. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~humble(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> ~brave(X0)) [input p6]
12. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~patient(X0)) [input p11]
24. humble(john) [i... | 0 |
If someone is not humble then someone is either not wise or strong and vice versa.
Everyone who is not patient or not wise is old and vice versa.
If paul is not calm then alice is both not humble and patient and vice versa.
If paul is either not calm or quiet then fred is either not rich or curious.
Everyone who is not... | John is wise. | entailment | ((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)<~>strong(X)))))&
(![X]:((~patient(X)|~wise(X))<=>old(X)))&
((~calm(paul))<=>((~humble(alice)&patient(alice))))&
(((~calm(paul)<~>quiet(paul)))=>((~rich(fred)<~>curious(fred))))&
(![X]:((~patient(X)|humble(X))=>(brave(X)&~wise(X))))&
(![X]:((~patient(X)&brave(X))<=>(calm(X)|~happy... | wise(john) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1854627836733380201950412
% SZS output start Proof for 1854627836733380201950412
2. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> old(X0)) [input p1]
10. ! [X0] : ((~curious(X0) | old(X0)) <=> (~wise(X0) <~> old(X0))) [input p9]
23. ~wise(john) [input hypothesis]
41. ! [X0] : (((~wise(X0) | ~p... | 0 |
Everyone who is either not humble or not patient is not quiet and vice versa. Everyone who is both not tall and not brave is strong and vice versa. Everyone who is either brave or curious is quiet or old. Everyone who is not generous or not humble is either not humble or calm. Everyone who is not curious or not humble ... | Fred is not generous. | contradiction | (![X]:((~humble(X)<~>~patient(X))<=>~quiet(X)))&
(![X]:((~tall(X)&~brave(X))<=>strong(X)))&
(![X]:((brave(X)<~>curious(X))=>(quiet(X)|old(X))))&
(![X]:((~generous(X)|~humble(X))=>(~humble(X)<~>calm(X))))&
(![X]:((~curious(X)|~humble(X))<=>~patient(X)))&
(![X]:(~patient(X)=>strong(X)))&
((?[X]:((tall(X)|~strong(X))))<=>... | ~generous(fred) | [
"p1",
"p4",
"p5",
"p7",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3961657448212072427243252
% SZS output start Proof for 3961657448212072427243252
2. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> strong(X0)) [input p1]
5. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> ~patient(X0)) [input p4]
6. ! [X0] : (~patient(X0) => strong(X0)) [input p5]
8. ? [X0] : (generou... | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Mary is calm. | contradiction | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | calm(mary) | [
"p0",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 81345421386636800060623
% SZS output start Proof for 81345421386636800060623
1. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> (~funny(X0) <~> tall(X0))) [input p0]
5. ! [X0] : (generous(X0) => (~tall(X0) <~> quiet(X0))) [input p4]
6. ! [X0] : ((~funny(X0) & kind(X0)) <=> (rich(X0) | ~humble(... | 0 |
Everyone who is rich is not generous and vice versa.
Everyone who is either not calm or wise is both tall and not wise and vice versa.
Everyone who is humble or patient is not happy.
If someone is not rich or not wise then someone is strong and vice versa.
Everyone who is creative or not wise is not wise or not happy.
... | Lucy is not strong. | entailment | (![X]:(rich(X)<=>~generous(X)))&
(![X]:((~calm(X)<~>wise(X))<=>(tall(X)&~wise(X))))&
(![X]:((humble(X)|patient(X))=>~happy(X)))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:(strong(X))))&
(![X]:((creative(X)|~wise(X))=>(~wise(X)|~happy(X))))&
(((patient(lucy)&~strong(lucy)))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((~rich(... | ~strong(lucy) | [
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4703721312801470287111426
% SZS output start Proof for 4703721312801470287111426
6. (~strong(lucy) & patient(lucy)) <=> ? [X0] : (~humble(X0) | ~brave(X0)) [input p5]
12. ! [X0] : ((brave(X0) & humble(X0)) => (~curious(X0) & ~patient(X0))) [input p11]
20. humble(lucy) <~> ~patient(lucy) [... | 0 |
If john is either wise or not patient then someone is either not old or patient.
Everyone who is both humble and not kind is not strong or not brave and vice versa.
Everyone who is either patient or not generous is either patient or not patient.
If fred is both not rich and not creative then john is both generous and n... | Susan is not brave. | contradiction | (((wise(john)<~>~patient(john)))=>(?[X]:((~old(X)<~>patient(X)))))&
(![X]:((humble(X)&~kind(X))<=>(~strong(X)|~brave(X))))&
(![X]:((patient(X)<~>~generous(X))=>(patient(X)<~>~patient(X))))&
(((~rich(fred)&~creative(fred)))=>((generous(john)&~creative(john))))&
(((~quiet(john)|~curious(john)))=>(~quiet(mary)))&
(((old(m... | ~brave(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1360363154457316339447183
% SZS output start Proof for 1360363154457316339447183
7. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~brave(X0) | happy(X0))) [input p6]
25. ~brave(susan) [input hypothesis]
48. ! [X0] : (((patient(X0) & ~patient(X0)) | (brave(X0) & ~happy(X0))) & ((~brave(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... | Susan is not tall. | 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... | ~tall(susan) | [
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8024132069027395846481506
% SZS output start Proof for 8024132069027395846481506
14. ~tall(susan) <=> ? [X0] : (~happy(X0) <~> ~old(X0)) [input p13]
15. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p14]
16. ? [X0] : (old(X0) | humble(X0)) <=> ? [X0] : (~calm(X0) & happy(X0)) [in... | 0 |
Everyone who is old is either quiet or patient.
Everyone who is both not kind and patient is funny or not old.
Everyone who is calm is both not patient and not calm.
Everyone who is not patient is strong.
If fred is both not calm and kind then paul is generous.
Everyone who is happy is both not happy and not calm.
If m... | Paul is not happy. | entailment | (![X]:(old(X)=>(quiet(X)<~>patient(X))))&
(![X]:((~kind(X)&patient(X))=>(funny(X)|~old(X))))&
(![X]:(calm(X)=>(~patient(X)&~calm(X))))&
(![X]:(~patient(X)=>strong(X)))&
(((~calm(fred)&kind(fred)))=>(generous(paul)))&
(![X]:(happy(X)=>(~happy(X)&~calm(X))))&
((~rich(mary))<=>(?[X]:(~wise(X))))&
(![X]:((~quiet(X)<~>~pati... | ~happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1524013780695400095449136
% SZS output start Proof for 1524013780695400095449136
6. ! [X0] : (happy(X0) => (~calm(X0) & ~happy(X0))) [input p5]
25. happy(paul) [input hypothesis]
33. ! [X0] : ((~calm(X0) & ~happy(X0)) | ~happy(X0)) [ennf transformation 6]
81. ~happy(X0) | ~happy(X0) [cnf ... | 0 |
If paul is both not tall and rich then someone is both creative and not curious and vice versa. Everyone who is happy is kind. Everyone who is not kind is both patient and wise. If someone is either not patient or not creative then john is both not funny and not brave. Everyone who is both not kind and quiet is not qui... | John is not calm. | contradiction | (((~tall(paul)&rich(paul)))<=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(happy(X)=>kind(X)))&
(![X]:(~kind(X)=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)<~>~creative(X))))=>((~funny(john)&~brave(john))))&
(![X]:((~kind(X)&quiet(X))=>~quiet(X)))&
((~brave(fred))<=>(?[X]:(old(X))))&
(((happy(alice)&~wise(alice)))<=>(?... | ~calm(john) | [
"p1",
"p3",
"p7",
"p8",
"p11",
"p13",
"p14",
"p15",
"p19",
"p21",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3649237657914946371139983
% SZS output start Proof for 3649237657914946371139983
2. ! [X0] : (happy(X0) => kind(X0)) [input p1]
4. ? [X0] : (~patient(X0) <~> ~creative(X0)) => (~brave(john) & ~funny(john)) [input p3]
8. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (rich(X0) <~> strong(X0))) [in... | 0 |
If someone is both not old and wise then paul is generous or patient and vice versa.
Everyone who is not curious or old is both patient and not old.
If fred is either not rich or not old then fred is either patient or quiet.
Everyone who is not patient or not old is both not brave and patient and vice versa.
Everyone w... | Paul is not curious. | neutral | ((?[X]:((~old(X)&wise(X))))<=>((generous(paul)|patient(paul))))&
(![X]:((~curious(X)|old(X))=>(patient(X)&~old(X))))&
(((~rich(fred)<~>~old(fred)))=>((patient(fred)<~>quiet(fred))))&
(![X]:((~patient(X)|~old(X))<=>(~brave(X)&patient(X))))&
(![X]:((quiet(X)|~brave(X))=>(~old(X)&wise(X))))&
(![X]:((strong(X)&~calm(X))<=>... | ~curious(paul) | [] | null | 0 |
Everyone who is generous or not kind is both not curious and wise and vice versa.
Everyone who is either not happy or not creative is generous or kind and vice versa.
Everyone who is generous or happy is either not strong or not wise.
If mary is both generous and not creative then paul is both not tall and not creative... | Paul is brave. | neutral | (![X]:((generous(X)|~kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>(generous(X)|kind(X))))&
(![X]:((generous(X)|happy(X))=>(~strong(X)<~>~wise(X))))&
(((generous(mary)&~creative(mary)))<=>((~tall(paul)&~creative(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~brave(X)|rich(X))))&
(![X]:((strong(X)... | brave(paul) | [] | null | 0 |
Everyone who is both not generous and not patient is not brave.
If someone is generous or calm then someone is both curious and not calm and vice versa.
If someone is not calm or not generous then someone is either not quiet or happy and vice versa.
Everyone who is both patient and quiet is patient and vice versa.
Ever... | Alice is creative. | neutral | (![X]:((~generous(X)&~patient(X))=>~brave(X)))&
((?[X]:((generous(X)|calm(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
(![X]:((patient(X)&quiet(X))<=>patient(X)))&
(![X]:((tall(X)&~kind(X))<=>(~tall(X)<~>~generous(X))))&
((?[X]:((humble(X)|~wise(X))))<=>... | creative(alice) | [] | null | 0 |
If mary is either not humble or happy then someone is both not generous and old.
Everyone who is happy or patient is not happy or not kind and vice versa.
Everyone who is both not quiet and kind is both not calm and not generous.
If someone is both not funny and wise then someone is not kind or calm.
Everyone who is ta... | Fred is generous. | neutral | (((~humble(mary)<~>happy(mary)))=>(?[X]:((~generous(X)&old(X)))))&
(![X]:((happy(X)|patient(X))<=>(~happy(X)|~kind(X))))&
(![X]:((~quiet(X)&kind(X))=>(~calm(X)&~generous(X))))&
((?[X]:((~funny(X)&wise(X))))=>(?[X]:((~kind(X)|calm(X)))))&
(![X]:((tall(X)|creative(X))<=>(~quiet(X)|strong(X))))&
(![X]:(brave(X)=>(kind(X)|... | generous(fred) | [] | null | 0 |
Everyone who is wise or funny is kind.
If someone is humble or not generous then mary is wise or kind and vice versa.
If someone is not strong or not calm then someone is not strong and vice versa.
If fred is not calm then john is either kind or strong.
If someone is happy or not happy then alice is either not happy or... | Susan is brave. | contradiction | (![X]:((wise(X)|funny(X))=>kind(X)))&
((?[X]:((humble(X)|~generous(X))))<=>((wise(mary)|kind(mary))))&
((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:(~strong(X))))&
((~calm(fred))=>((kind(john)<~>strong(john))))&
((?[X]:((happy(X)|~happy(X))))<=>((~happy(alice)<~>tall(alice))))&
(((old(mary)|humble(mary)))=>(?[X]:((calm(X)|t... | brave(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3030606541873256028949669
% SZS output start Proof for 3030606541873256028949669
10. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (brave(X0) | ~brave(X0))) [input p9]
25. brave(susan) [input hypothesis]
62. ! [X0] : (((~humble(X0) & ~brave(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) | ~bra... | 0 |
Everyone who is either quiet or not creative is either not quiet or not curious and vice versa. Everyone who is either wise or patient is not calm or creative. If someone is both tall and not brave then someone is creative. If someone is not calm or not happy then mary is generous. Everyone who is both generous and cal... | Susan is not quiet. | contradiction | (![X]:((quiet(X)<~>~creative(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((wise(X)<~>patient(X))=>(~calm(X)|creative(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:(creative(X))))&
((?[X]:((~calm(X)|~happy(X))))=>(generous(mary)))&
(![X]:((generous(X)&calm(X))<=>tall(X)))&
((funny(paul))=>(~creative(paul)))&
(![X]:((wise(X)<... | ~quiet(susan) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5246500324224251718128942
% SZS output start Proof for 5246500324224251718128942
2. ! [X0] : ((wise(X0) <~> patient(X0)) => (creative(X0) | ~calm(X0))) [input p1]
4. ? [X0] : (~happy(X0) | ~calm(X0)) => generous(mary) [input p3]
5. ! [X0] : ((calm(X0) & generous(X0)) <=> tall(X0)) [input ... | 0 |
If someone is either wise or tall then someone is calm or not generous. Everyone who is both not wise and generous is either creative or brave and vice versa. If someone is both patient and not wise then fred is old or not curious. Everyone who is not kind or not creative is either not brave or brave. If someone is not... | Mary is happy. | contradiction | ((?[X]:((wise(X)<~>tall(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((~wise(X)&generous(X))<=>(creative(X)<~>brave(X))))&
((?[X]:((patient(X)&~wise(X))))=>((old(fred)|~curious(fred))))&
(![X]:((~kind(X)|~creative(X))=>(~brave(X)<~>brave(X))))&
((?[X]:(~funny(X)))<=>((~rich(lucy)&~curious(lucy))))&
((?[X]:((kind(X)<~... | happy(mary) | [
"p1",
"p5",
"p7",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5227610706283283101113498
% SZS output start Proof for 5227610706283283101113498
2. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (creative(X0) <~> brave(X0))) [input p1]
6. ? [X0] : (kind(X0) <~> creative(X0)) <=> (~strong(mary) & ~generous(mary)) [input p5]
8. ! [X0] : ((funny(X0) & brave(X0... | 0 |
Everyone who is not creative is both generous and creative and vice versa. Everyone who is funny or rich is either not brave or tall. If someone is both not kind and not rich then alice is both generous and happy. If someone is kind then alice is either wise or not generous. If lucy is both not patient and not old then... | Fred is strong. | contradiction | (![X]:(~creative(X)<=>(generous(X)&creative(X))))&
(![X]:((funny(X)|rich(X))=>(~brave(X)<~>tall(X))))&
((?[X]:((~kind(X)&~rich(X))))=>((generous(alice)&happy(alice))))&
((?[X]:(kind(X)))=>((wise(alice)<~>~generous(alice))))&
(((~patient(lucy)&~old(lucy)))=>((creative(alice)&quiet(alice))))&
(![X]:((tall(X)|rich(X))<=>(... | strong(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5814389845086346270440505
% SZS output start Proof for 5814389845086346270440505
16. ~strong(fred) & ~funny(fred) [input p15]
20. strong(fred) [input hypothesis]
23. ~strong(fred) [pure predicate removal 16]
111. ~strong(fred) [cnf transformation 23]
117. strong(fred) [cnf transformation ... | 0 |
Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not humble is both not generous and not rich. If someone is quiet or old then someone is humble. If lucy is both not wise and patient... | Mary is kind. | entailment | (![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X))))&
(((~wise(lucy)&patient(lucy)))=>((~generous(alice)|kind(alice))))&
(![X]:(generous(X)<=>(old(X)&rich(X))))&
(... | kind(mary) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3135833592207281941921224
% SZS output start Proof for 3135833592207281941921224
1. ! [X0] : (~strong(X0) <=> (generous(X0) & ~tall(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~rich(X0) & ~generous(X0))) [input p2]
6. ! [X0] : (generous(X0) <=> (rich(X0) & old(X0))) [input... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both kind and not humble then someone is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humbl... | Mary is humble. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(?[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]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))... | humble(mary) | [
"p0",
"p2",
"p4",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4523110780430247251568081
% SZS output start Proof for 4523110780430247251568081
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~brave(X0) & old(X0))) [input p0]
3. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p2]
5. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p4]
... | 0 |
If someone is either curious or not creative then john is brave and vice versa. If someone is both not wise and not old then lucy is happy. Everyone who is brave is both not tall and not rich. Everyone who is strong or brave is old or strong. Everyone who is either humble or kind is either not rich or old and vice vers... | John is not rich. | entailment | ((?[X]:((curious(X)<~>~creative(X))))<=>(brave(john)))&
((?[X]:((~wise(X)&~old(X))))=>(happy(lucy)))&
(![X]:(brave(X)=>(~tall(X)&~rich(X))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X... | ~rich(john) | [
"p0",
"p2",
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8842947857998952488198366
% SZS output start Proof for 8842947857998952488198366
1. ? [X0] : (curious(X0) <~> ~creative(X0)) <=> brave(john) [input p0]
3. ! [X0] : (brave(X0) => (~rich(X0) & ~tall(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [inpu... | 0 |
If alice is not kind or not curious then someone is tall.
If someone is either rich or wise then someone is patient and vice versa.
If mary is both not humble and curious then someone is both not strong and not rich and vice versa.
Everyone who is not curious or patient is generous or not creative and vice versa.
Every... | Alice is kind. | entailment | (((~kind(alice)|~curious(alice)))=>(?[X]:(tall(X))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:(patient(X))))&
(((~humble(mary)&curious(mary)))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~curious(X)|patient(X))<=>(generous(X)|~creative(X))))&
(![X]:(~kind(X)=>(~funny(X)&~old(X))))&
(![X]:((~humble(X)|wise(X))<=>(~brave(X)... | kind(alice) | [
"p4",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9037843516055191997834766
% SZS output start Proof for 9037843516055191997834766
5. ! [X0] : (~kind(X0) => (~old(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (rich(X0) | ~brave(X0))) [input p5]
11. ! [X0] : ((~funny(X0) | strong(X0)) <=> (~quiet(X0) & ~humble(X0... | 0 |
Everyone who is not curious is both old and not happy.
Everyone who is both old and not strong is kind or not tall and vice versa.
Everyone who is kind is either not generous or calm.
Everyone who is not tall is either curious or not creative and vice versa.
Everyone who is either humble or tall is both creative and no... | John is calm. | neutral | (![X]:(~curious(X)=>(old(X)&~happy(X))))&
(![X]:((old(X)&~strong(X))<=>(kind(X)|~tall(X))))&
(![X]:(kind(X)=>(~generous(X)<~>calm(X))))&
(![X]:(~tall(X)<=>(curious(X)<~>~creative(X))))&
(![X]:((humble(X)<~>tall(X))<=>(creative(X)&~rich(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>~brave(X)))&
((?[X]:((old(X)&~generous(X)))... | calm(john) | [] | null | 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 6439828125058338099667784
% SZS output start Proof for 6439828125058338099667784
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 |
If lucy is old or not generous then paul is either funny or not quiet.
Everyone who is not funny is patient or tall.
Everyone who is either not creative or not quiet is either rich or not brave and vice versa.
If someone is generous then someone is both not creative and old.
Everyone who is generous or not funny is eit... | Paul is rich. | contradiction | (((old(lucy)|~generous(lucy)))=>((funny(paul)<~>~quiet(paul))))&
(![X]:(~funny(X)=>(patient(X)|tall(X))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(rich(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)&old(X)))))&
(![X]:((generous(X)|~funny(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((happy(X)|brave(X))<=>(~creat... | rich(paul) | [
"p2",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 638319978226947559140192
% SZS output start Proof for 638319978226947559140192
3. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((brave(X0) | happy(X0)) <=> (~rich(X0) & ~creative(X0))) [input p5]
9. (quiet(alice) & brave(alice)) <=> ? [X0]... | 0 |
Everyone who is either happy or kind is old or rich. Everyone who is both not kind and old is creative or humble and vice versa. Everyone who is strong is either creative or old. Everyone who is both rich and not calm is both not brave and funny and vice versa. Everyone who is either not humble or old is either not bra... | Lucy is patient. | neutral | (![X]:((happy(X)<~>kind(X))=>(old(X)|rich(X))))&
(![X]:((~kind(X)&old(X))<=>(creative(X)|humble(X))))&
(![X]:(strong(X)=>(creative(X)<~>old(X))))&
(![X]:((rich(X)&~calm(X))<=>(~brave(X)&funny(X))))&
(![X]:((~humble(X)<~>old(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((~creative(X)|quiet(X))))=>(?[X]:((wise(X)<~>patient(X))... | patient(lucy) | [] | null | 0 |
Everyone who is both not brave and not kind is either not kind or happy. Everyone who is both tall and not generous is not humble and vice versa. Everyone who is either calm or tall is either kind or old. Everyone who is not quiet or strong is not patient or not humble. If john is both old and tall then john is not gen... | Lucy is not wise. | contradiction | (![X]:((~brave(X)&~kind(X))=>(~kind(X)<~>happy(X))))&
(![X]:((tall(X)&~generous(X))<=>~humble(X)))&
(![X]:((calm(X)<~>tall(X))=>(kind(X)<~>old(X))))&
(![X]:((~quiet(X)|strong(X))=>(~patient(X)|~humble(X))))&
(((old(john)&tall(john)))<=>((~generous(john)|~funny(john))))&
(![X]:((~funny(X)&~rich(X))=>(~strong(X)|brave(X)... | ~wise(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 69947326615504924469270
% SZS output start Proof for 69947326615504924469270
18. creative(lucy) & wise(lucy) [input p17]
25. ~wise(lucy) [input hypothesis]
121. wise(lucy) [cnf transformation 18]
132. ~wise(lucy) [cnf transformation 25]
298. $false [subsumption resolution 132,121]
% SZS o... | 0 |
Everyone who is not happy is both not calm and patient and vice versa.
If someone is both happy and not curious then someone is both not rich and not brave and vice versa.
Everyone who is both not funny and happy is either not tall or old and vice versa.
If someone is either kind or not humble then someone is strong.
E... | Alice is not curious. | contradiction | (![X]:(~happy(X)<=>(~calm(X)&patient(X))))&
((?[X]:((happy(X)&~curious(X))))<=>(?[X]:((~rich(X)&~brave(X)))))&
(![X]:((~funny(X)&happy(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((kind(X)<~>~humble(X))))=>(?[X]:(strong(X))))&
(![X]:((~humble(X)&humble(X))<=>(kind(X)&tall(X))))&
((wise(lucy))<=>((~creative(susan)<~>rich(susan)... | ~curious(alice) | [
"p0",
"p1",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6015943307491309139290317
% SZS output start Proof for 6015943307491309139290317
1. ! [X0] : (~happy(X0) <=> (patient(X0) & ~calm(X0))) [input p0]
2. ? [X0] : (~curious(X0) & happy(X0)) <=> ? [X0] : (~brave(X0) & ~rich(X0)) [input p1]
10. ! [X0] : (generous(X0) => (curious(X0) & ~generous... | 0 |
Everyone who is old or not creative is happy or not patient.
Everyone who is both not kind and happy is both not curious and not strong and vice versa.
If mary is both funny and not old then someone is not generous or not funny and vice versa.
If mary is both funny and not tall then someone is calm or creative.
If lucy... | John is humble. | entailment | (![X]:((old(X)|~creative(X))=>(happy(X)|~patient(X))))&
(![X]:((~kind(X)&happy(X))<=>(~curious(X)&~strong(X))))&
(((funny(mary)&~old(mary)))<=>(?[X]:((~generous(X)|~funny(X)))))&
(((funny(mary)&~tall(mary)))=>(?[X]:((calm(X)|creative(X)))))&
((~kind(lucy))=>(~kind(susan)))&
((?[X]:(~funny(X)))=>(?[X]:(~happy(X))))&
((~... | humble(john) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6243442510559127105890637
% SZS output start Proof for 6243442510559127105890637
10. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~generous(X0)) [input p9]
17. tall(john) <~> humble(john) [input p16]
24. ~humble(john) [input hypothesis]
26. ? [X0] : tall(X0) <=> ? [X1] : (generous(X1) &... | 0 |
Everyone who is both rich and happy is both creative and humble.
Everyone who is either not old or not rich is creative and vice versa.
Everyone who is either not patient or humble is kind.
If someone is not generous or not curious then susan is funny or not generous and vice versa.
If someone is calm or brave then sus... | Alice is tall. | contradiction | (![X]:((rich(X)&happy(X))=>(creative(X)&humble(X))))&
(![X]:((~old(X)<~>~rich(X))<=>creative(X)))&
(![X]:((~patient(X)<~>humble(X))=>kind(X)))&
((?[X]:((~generous(X)|~curious(X))))<=>((funny(susan)|~generous(susan))))&
((?[X]:((calm(X)|brave(X))))=>((~curious(susan)<~>tall(susan))))&
(![X]:((curious(X)<~>rich(X))<=>(~c... | tall(alice) | [
"p0",
"p1",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2047260973302965249854169
% SZS output start Proof for 2047260973302965249854169
1. ! [X0] : ((happy(X0) & rich(X0)) => (humble(X0) & creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> creative(X0)) [input p1]
6. ! [X0] : ((curious(X0) <~> rich(X0)) <=> (~curious(X0) <~> ... | 0 |
Everyone who is patient is both not quiet and not tall.
Everyone who is funny is rich and vice versa.
Everyone who is both not tall and not wise is strong or brave and vice versa.
Everyone who is either strong or calm is both humble and not generous and vice versa.
If someone is both creative and not funny then susan i... | Fred is patient. | contradiction | (![X]:(patient(X)=>(~quiet(X)&~tall(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:((~tall(X)&~wise(X))<=>(strong(X)|brave(X))))&
(![X]:((strong(X)<~>calm(X))<=>(humble(X)&~generous(X))))&
((?[X]:((creative(X)&~funny(X))))<=>((creative(susan)<~>~creative(susan))))&
(((calm(alice)<~>~generous(alice)))<=>(?[X]:((funny(X)|~tal... | patient(fred) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1909775647244441252654890
% SZS output start Proof for 1909775647244441252654890
1. ! [X0] : (patient(X0) => (~tall(X0) & ~quiet(X0))) [input p0]
14. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (tall(X0) & ~calm(X0))) [input p13]
24. patient(fred) [input hypothesis]
27. ! [X0] : ((~tall(X0) &... | 0 |
If john is either strong or tall then someone is both not happy and happy and vice versa.
If someone is generous then alice is both old and funny.
Everyone who is either not curious or not patient is not patient or not curious.
If someone is either not patient or not old then someone is either not quiet or tall and vic... | Paul is not happy. | contradiction | (((strong(john)<~>tall(john)))<=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:(generous(X)))=>((old(alice)&funny(alice))))&
(![X]:((~curious(X)<~>~patient(X))=>(~patient(X)|~curious(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(((~kind(mary)<~>~creative(mary)))=>((happy(lucy)|funny(lucy))))&
(!... | ~happy(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 997159907898685810242937
% SZS output start Proof for 997159907898685810242937
22. quiet(paul) & happy(paul) [input p21]
25. ~happy(paul) [input hypothesis]
128. happy(paul) [cnf transformation 22]
132. ~happy(paul) [cnf transformation 25]
319. $false [subsumption resolution 132,128]
% SZ... | 0 |
Everyone who is both not old and old is generous or not creative. Everyone who is both not patient and curious is not wise or not old and vice versa. If someone is not tall or not funny then paul is both not wise and rich. If fred is both not quiet and happy then paul is either not patient or tall and vice versa. Every... | Paul is wise. | neutral | (![X]:((~old(X)&old(X))=>(generous(X)|~creative(X))))&
(![X]:((~patient(X)&curious(X))<=>(~wise(X)|~old(X))))&
((?[X]:((~tall(X)|~funny(X))))=>((~wise(paul)&rich(paul))))&
(((~quiet(fred)&happy(fred)))<=>((~patient(paul)<~>tall(paul))))&
(![X]:((rich(X)|patient(X))<=>(~kind(X)&~humble(X))))&
(((generous(mary)&~brave(ma... | wise(paul) | [] | null | 0 |
Everyone who is strong is either not humble or not quiet.
Everyone who is both quiet and not humble is kind and vice versa.
Everyone who is either not funny or not creative is both not generous and tall and vice versa.
If mary is curious then someone is quiet and vice versa.
Everyone who is not rich is not humble and v... | Susan is not humble. | neutral | (![X]:(strong(X)=>(~humble(X)<~>~quiet(X))))&
(![X]:((quiet(X)&~humble(X))<=>kind(X)))&
(![X]:((~funny(X)<~>~creative(X))<=>(~generous(X)&tall(X))))&
((curious(mary))<=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>~humble(X)))&
((patient(john))=>((brave(lucy)<~>~rich(lucy))))&
(![X]:((patient(X)&wise(X))<=>(patient(X)|~patien... | ~humble(susan) | [] | null | 0 |
Everyone who is both not rich and not calm is not curious or kind and vice versa.
Everyone who is both humble and curious is either not brave or not happy.
If paul is old or not wise then lucy is not generous or happy and vice versa.
Everyone who is not curious or calm is both not strong and not humble.
Everyone who is... | Mary is brave. | entailment | (![X]:((~rich(X)&~calm(X))<=>(~curious(X)|kind(X))))&
(![X]:((humble(X)&curious(X))=>(~brave(X)<~>~happy(X))))&
(((old(paul)|~wise(paul)))<=>((~generous(lucy)|happy(lucy))))&
(![X]:((~curious(X)|calm(X))=>(~strong(X)&~humble(X))))&
(![X]:((creative(X)|~humble(X))<=>~quiet(X)))&
(![X]:(~brave(X)=>(~humble(X)|strong(X)))... | brave(mary) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5368052304729484782940947
% SZS output start Proof for 5368052304729484782940947
2. ! [X0] : ((curious(X0) & humble(X0)) => (~brave(X0) <~> ~happy(X0))) [input p1]
4. ! [X0] : ((calm(X0) | ~curious(X0)) => (~humble(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~humble(X0) | creative(X0)) <... | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
If lucy is either wise or calm then paul is quiet and vice versa.
If susan is not wise then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is generous or curious.
If someone is both not generous and creative then m... | Susan is quiet. | contradiction | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![... | quiet(susan) | [
"p0",
"p12",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1924453619518569184968619
% SZS output start Proof for 1924453619518569184968619
1. ~curious(paul) <=> ? [X0] : (tall(X0) | quiet(X0)) [input p0]
13. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p12]
14. ! [X0] : ((~wise(X0) <~> ~happy(X0)) <=> (kind(X0) & humble(X0))) [input p13]
15. ! [X... | 0 |
If someone is not strong then someone is creative or not brave and vice versa.
If someone is not funny or patient then lucy is both not creative and not strong and vice versa.
If someone is both not old and creative then someone is both rich and patient and vice versa.
Everyone who is either rich or strong is tall and ... | Paul is not generous. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((creative(X)|~brave(X)))))&
((?[X]:((~funny(X)|patient(X))))<=>((~creative(lucy)&~strong(lucy))))&
((?[X]:((~old(X)&creative(X))))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((rich(X)<~>strong(X))<=>tall(X)))&
((?[X]:(old(X)))<=>((creative(susan)|rich(susan))))&
((?[X]:((curious(X)|~wise(X)))... | ~generous(paul) | [] | null | 0 |
Everyone who is creative or not strong is not curious.
Everyone who is either not strong or not generous is either generous or rich and vice versa.
If someone is either not tall or calm then john is not funny or not kind and vice versa.
If someone is both patient and brave then john is quiet or not rich and vice versa.... | Fred is tall. | neutral | (![X]:((creative(X)|~strong(X))=>~curious(X)))&
(![X]:((~strong(X)<~>~generous(X))<=>(generous(X)<~>rich(X))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((~funny(john)|~kind(john))))&
((?[X]:((patient(X)&brave(X))))<=>((quiet(john)|~rich(john))))&
(![X]:((~strong(X)|~brave(X))=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)&~curious... | tall(fred) | [] | null | 0 |
Everyone who is either not curious or not patient is either calm or not creative and vice versa.
If someone is not kind then someone is funny or patient and vice versa.
Everyone who is both wise and quiet is either not quiet or calm and vice versa.
If someone is not old or curious then lucy is either not kind or old an... | Lucy is not quiet. | neutral | (![X]:((~curious(X)<~>~patient(X))<=>(calm(X)<~>~creative(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((wise(X)&quiet(X))<=>(~quiet(X)<~>calm(X))))&
((?[X]:((~old(X)|curious(X))))<=>((~kind(lucy)<~>old(lucy))))&
(![X]:(happy(X)=>~happy(X)))&
(![X]:((~calm(X)|~generous(X))<=>(calm(X)<~>~happy(X)))... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not funny or quiet is not curious. Everyone who is both old and not rich is creative and vice versa. Everyone who is not rich is not patient and vice versa. Everyone who is not creative is both quiet and generous and vice versa. If someone is not brave or not generous then someone is either rich ... | Alice is tall. | neutral | (![X]:((~funny(X)<~>quiet(X))=>~curious(X)))&
(![X]:((old(X)&~rich(X))<=>creative(X)))&
(![X]:(~rich(X)<=>~patient(X)))&
(![X]:(~creative(X)<=>(quiet(X)&generous(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((rich(X)<~>~rich(X)))))&
(((~happy(john)<~>tall(john)))=>((funny(mary)&tall(mary))))&
(![X]:((patient(X)<~>~... | tall(alice) | [] | null | 0 |
If someone is both not calm and funny then someone is either strong or tall. If alice is not funny or not quiet then mary is either tall or strong. If someone is brave then paul is either rich or strong and vice versa. If someone is either funny or not quiet then john is either not humble or not generous. Everyone who ... | Paul is not tall. | contradiction | ((?[X]:((~calm(X)&funny(X))))=>(?[X]:((strong(X)<~>tall(X)))))&
(((~funny(alice)|~quiet(alice)))=>((tall(mary)<~>strong(mary))))&
((?[X]:(brave(X)))<=>((rich(paul)<~>strong(paul))))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~humble(john)<~>~generous(john))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)&generous(X))))&
(![X]:((~ca... | ~tall(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8922505275690731020989173
% SZS output start Proof for 8922505275690731020989173
9. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p8]
21. ~tall(paul) [input hypothesis]
47. ! [X0] : (((~tall(X0) | ~funny(X0)) | (brave(X0) | ~tall(X0))) & ((~brave(X0) & tall(X0)) |... | 0 |
Everyone who is both happy and curious is not strong or humble and vice versa. Everyone who is both generous and happy is kind or not calm. Everyone who is either not kind or kind is calm. Everyone who is either not patient or wise is either funny or not tall. If paul is curious then someone is not rich. Everyone who i... | Mary is not tall. | contradiction | (![X]:((happy(X)&curious(X))<=>(~strong(X)|humble(X))))&
(![X]:((generous(X)&happy(X))=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)<~>kind(X))=>calm(X)))&
(![X]:((~patient(X)<~>wise(X))=>(funny(X)<~>~tall(X))))&
((curious(paul))=>(?[X]:(~rich(X))))&
(![X]:(~tall(X)=>calm(X)))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((brave... | ~tall(mary) | [
"p0",
"p2",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8526497231813107335886968
% SZS output start Proof for 8526497231813107335886968
1. ! [X0] : ((curious(X0) & happy(X0)) <=> (humble(X0) | ~strong(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> kind(X0)) => calm(X0)) [input p2]
9. ? [X0] : (~curious(X0) <~> rich(X0)) => ? [X0] : ~calm(X0) [i... | 0 |
Everyone who is rich is not brave and vice versa. If someone is wise then paul is both calm and not calm. If someone is not strong or generous then paul is both not creative and not generous. Everyone who is both wise and not creative is both not funny and not quiet. Everyone who is rich is both creative and curious. I... | Paul is not creative. | entailment | (![X]:(rich(X)<=>~brave(X)))&
((?[X]:(wise(X)))=>((calm(paul)&~calm(paul))))&
((?[X]:((~strong(X)|generous(X))))=>((~creative(paul)&~generous(paul))))&
(![X]:((wise(X)&~creative(X))=>(~funny(X)&~quiet(X))))&
(![X]:(rich(X)=>(creative(X)&curious(X))))&
(((~wise(paul)|humble(paul)))<=>(?[X]:((~old(X)|happy(X)))))&
((?[X]... | ~creative(paul) | [
"p1",
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5427283373279980521552540
% SZS output start Proof for 5427283373279980521552540
2. ? [X0] : wise(X0) => (~calm(paul) & calm(paul)) [input p1]
3. ? [X0] : (generous(X0) | ~strong(X0)) => (~generous(paul) & ~creative(paul)) [input p2]
14. (old(mary) | wise(mary)) <=> (wise(susan) | generou... | 0 |
Everyone who is tall or not strong is either humble or rich and vice versa. Everyone who is not rich is not calm or humble. Everyone who is either not brave or quiet is not happy. If mary is humble or funny then someone is not happy or old. If someone is not old or not generous then fred is both calm and kind and vice ... | Fred is not brave. | entailment | (![X]:((tall(X)|~strong(X))<=>(humble(X)<~>rich(X))))&
(![X]:(~rich(X)=>(~calm(X)|humble(X))))&
(![X]:((~brave(X)<~>quiet(X))=>~happy(X)))&
(((humble(mary)|funny(mary)))=>(?[X]:((~happy(X)|old(X)))))&
((?[X]:((~old(X)|~generous(X))))<=>((calm(fred)&kind(fred))))&
(![X]:((happy(X)&curious(X))<=>(~happy(X)<~>old(X))))&
(... | ~brave(fred) | [
"p4",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5107827331637591305576466
% SZS output start Proof for 5107827331637591305576466
5. ? [X0] : (~generous(X0) | ~old(X0)) <=> (kind(fred) & calm(fred)) [input p4]
6. ! [X0] : ((curious(X0) & happy(X0)) <=> (~happy(X0) <~> old(X0))) [input p5]
7. ? [X0] : (calm(X0) & ~rich(X0)) <=> ? [X0] : ... | 0 |
Everyone who is curious is not generous or creative.
If someone is calm then alice is brave and vice versa.
If someone is generous or calm then fred is not generous and vice versa.
If someone is not kind then someone is tall or not kind and vice versa.
Everyone who is both humble and not tall is not funny or calm and v... | Fred is tall. | entailment | (![X]:(curious(X)=>(~generous(X)|creative(X))))&
((?[X]:(calm(X)))<=>(brave(alice)))&
((?[X]:((generous(X)|calm(X))))<=>(~generous(fred)))&
((?[X]:(~kind(X)))<=>(?[X]:((tall(X)|~kind(X)))))&
(![X]:((humble(X)&~tall(X))<=>(~funny(X)|calm(X))))&
((?[X]:((strong(X)|funny(X))))=>(?[X]:(tall(X))))&
((?[X]:((~calm(X)<~>kind(... | tall(fred) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 131472750498648230920818
% SZS output start Proof for 131472750498648230920818
12. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~strong(X0) & patient(X0))) [input p11]
14. ! [X0] : ((old(X0) & tall(X0)) <=> ~strong(X0)) [input p13]
23. ~tall(fred) [input hypothesis]
64. ! [X0] : (((~tall(X0) | ... | 0 |
If john is both quiet and rich then someone is either not patient or not humble and vice versa. Everyone who is either brave or quiet is not humble and vice versa. If someone is both not tall and creative then someone is either not calm or not funny and vice versa. Everyone who is not calm is either strong or not tall ... | Susan is not curious. | neutral | (((quiet(john)&rich(john)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((brave(X)<~>quiet(X))<=>~humble(X)))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:(~calm(X)<=>(strong(X)<~>~tall(X))))&
((~curious(paul))=>((old(alice)|quiet(alice))))&
(((~kind(alice)|~happy(alice)))=>((~creative(... | ~curious(susan) | [] | null | 0 |
If someone is both funny and not calm then susan is not happy or tall. If someone is either calm or quiet then someone is either quiet or kind and vice versa. Everyone who is not happy or strong is not strong and vice versa. Everyone who is both quiet and tall is both rich and tall and vice versa. Everyone who is humbl... | Alice is happy. | contradiction | ((?[X]:((funny(X)&~calm(X))))=>((~happy(susan)|tall(susan))))&
((?[X]:((calm(X)<~>quiet(X))))<=>(?[X]:((quiet(X)<~>kind(X)))))&
(![X]:((~happy(X)|strong(X))<=>~strong(X)))&
(![X]:((quiet(X)&tall(X))<=>(rich(X)&tall(X))))&
(![X]:((humble(X)|~brave(X))=>(old(X)|~rich(X))))&
(((quiet(john)|~generous(john)))<=>((brave(paul... | happy(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3527955586068337804261414
% SZS output start Proof for 3527955586068337804261414
3. ! [X0] : ((strong(X0) | ~happy(X0)) <=> ~strong(X0)) [input p2]
24. happy(alice) [input hypothesis]
43. ! [X0] : (((strong(X0) | ~happy(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) & happy(X0)))) [nnf ... | 0 |
If lucy is either creative or quiet then someone is not calm or not curious.
If someone is not wise or wise then someone is not curious or creative.
If john is brave or not happy then someone is not brave or not curious and vice versa.
Everyone who is either brave or not rich is both generous and not tall and vice vers... | Mary is not brave. | neutral | (((creative(lucy)<~>quiet(lucy)))=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((~wise(X)|wise(X))))=>(?[X]:((~curious(X)|creative(X)))))&
(((brave(john)|~happy(john)))<=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>(generous(X)&~tall(X))))&
((?[X]:((brave(X)&humble(X))))<=>((~kind(alice)|strong(alice... | ~brave(mary) | [] | null | 0 |
Everyone who is either not happy or strong is both happy and calm.
Everyone who is either not brave or not strong is quiet.
Everyone who is both calm and not humble is not happy and vice versa.
If paul is wise then someone is either generous or patient.
Everyone who is not creative or not funny is not brave or rich.
Ev... | Susan is not kind. | neutral | (![X]:((~happy(X)<~>strong(X))=>(happy(X)&calm(X))))&
(![X]:((~brave(X)<~>~strong(X))=>quiet(X)))&
(![X]:((calm(X)&~humble(X))<=>~happy(X)))&
((wise(paul))=>(?[X]:((generous(X)<~>patient(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~brave(X)|rich(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:(~tall(X)<=>(creative(X)|funny(X))... | ~kind(susan) | [] | null | 0 |
Everyone who is not happy is not kind or not humble and vice versa.
Everyone who is both not patient and not strong is both not kind and calm and vice versa.
If someone is not curious or not calm then someone is not rich and vice versa.
Everyone who is not quiet is either curious or not humble and vice versa.
Everyone ... | Mary is not calm. | neutral | (![X]:(~happy(X)<=>(~kind(X)|~humble(X))))&
(![X]:((~patient(X)&~strong(X))<=>(~kind(X)&calm(X))))&
((?[X]:((~curious(X)|~calm(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((patient(X)&happy(X))<=>(funny(X)<~>~old(X))))&
((?[X]:((~quiet(X)<~>~rich(X))))=>(?[X]:(~calm(X))))&
(((~stro... | ~calm(mary) | [] | null | 0 |
Everyone who is calm is both not strong and kind and vice versa.
Everyone who is both not calm and tall is calm and vice versa.
Everyone who is both tall and funny is either funny or quiet.
If fred is either not strong or not kind then someone is funny or rich.
Everyone who is both not creative and not patient is eithe... | Susan is not funny. | neutral | (![X]:(calm(X)<=>(~strong(X)&kind(X))))&
(![X]:((~calm(X)&tall(X))<=>calm(X)))&
(![X]:((tall(X)&funny(X))=>(funny(X)<~>quiet(X))))&
(((~strong(fred)<~>~kind(fred)))=>(?[X]:((funny(X)|rich(X)))))&
(![X]:((~creative(X)&~patient(X))<=>(~old(X)<~>~wise(X))))&
((tall(paul))<=>(happy(fred)))&
(![X]:((~creative(X)<~>quiet(X))... | ~funny(susan) | [] | null | 0 |
If alice is not wise or calm then mary is both not calm and not funny and vice versa.
Everyone who is either not generous or wise is kind and vice versa.
If susan is both not humble and creative then fred is not humble or generous.
If paul is both quiet and rich then lucy is generous or rich.
Everyone who is either ric... | Alice is brave. | neutral | (((~wise(alice)|calm(alice)))<=>((~calm(mary)&~funny(mary))))&
(![X]:((~generous(X)<~>wise(X))<=>kind(X)))&
(((~humble(susan)&creative(susan)))=>((~humble(fred)|generous(fred))))&
(((quiet(paul)&rich(paul)))=>((generous(lucy)|rich(lucy))))&
(![X]:((rich(X)<~>strong(X))=>(tall(X)&~creative(X))))&
(![X]:((~generous(X)&~s... | brave(alice) | [] | null | 0 |
If someone is either not brave or quiet then alice is rich and vice versa.
If someone is both not brave and old then susan is not funny.
If someone is creative then someone is both not tall and generous and vice versa.
Everyone who is both patient and not old is not rich or not patient and vice versa.
Everyone who is r... | Paul is tall. | entailment | ((?[X]:((~brave(X)<~>quiet(X))))<=>(rich(alice)))&
((?[X]:((~brave(X)&old(X))))=>(~funny(susan)))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)&generous(X)))))&
(![X]:((patient(X)&~old(X))<=>(~rich(X)|~patient(X))))&
(![X]:(rich(X)<=>~wise(X)))&
(![X]:((strong(X)<~>~calm(X))<=>(~generous(X)|quiet(X))))&
(![X]:((funny(X)|ta... | tall(paul) | [
"p4",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2038793137930686552694743
% SZS output start Proof for 2038793137930686552694743
5. ! [X0] : (rich(X0) <=> ~wise(X0)) [input p4]
15. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> tall(X0)) [input p14]
22. rich(paul) & humble(paul) [input p21]
25. ~tall(paul) [input hypothesis]
49. ! [X0] : ((rich... | 0 |
Everyone who is not calm or strong is both curious and not old and vice versa.
Everyone who is both wise and calm is not old and vice versa.
Everyone who is both tall and not generous is both not rich and not quiet and vice versa.
Everyone who is either not creative or not old is not brave or tall.
If someone is patien... | John is happy. | neutral | (![X]:((~calm(X)|strong(X))<=>(curious(X)&~old(X))))&
(![X]:((wise(X)&calm(X))<=>~old(X)))&
(![X]:((tall(X)&~generous(X))<=>(~rich(X)&~quiet(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~brave(X)|tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:((~rich(X)|wise(X))))=>((strong(fred)|tall(fred))))&
(!... | happy(john) | [] | null | 0 |
Everyone who is both not humble and brave is calm. Everyone who is both quiet and not tall is not old or not wise. If someone is not curious then fred is kind or brave. Everyone who is both rich and not old is both not rich and happy. If someone is both not funny and happy then fred is happy and vice versa. If someone ... | Lucy is quiet. | contradiction | (![X]:((~humble(X)&brave(X))=>calm(X)))&
(![X]:((quiet(X)&~tall(X))=>(~old(X)|~wise(X))))&
((?[X]:(~curious(X)))=>((kind(fred)|brave(fred))))&
(![X]:((rich(X)&~old(X))=>(~rich(X)&happy(X))))&
((?[X]:((~funny(X)&happy(X))))<=>(happy(fred)))&
((?[X]:((~generous(X)|~tall(X))))<=>(?[X]:(~old(X))))&
(![X]:((kind(X)|~calm(X)... | quiet(lucy) | [
"p3",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1570566217175828388421450
% SZS output start Proof for 1570566217175828388421450
4. ! [X0] : ((~old(X0) & rich(X0)) => (happy(X0) & ~rich(X0))) [input p3]
12. ! [X0] : (rich(X0) <=> (quiet(X0) | ~funny(X0))) [input p11]
17. ~old(lucy) [input p16]
24. quiet(lucy) [input hypothesis]
34. ! [... | 0 |
Everyone who is both not creative and strong is not humble and vice versa.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and vice versa.
Everyone who is not generous is patient and vice v... | Fred is not generous. | entailment | (![X]:((~creative(X)&strong(X))<=>~humble(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~quiet(X))))&
((?[X]:((kind(X)|~happy(X))))<=>(?[X]:((~genero... | ~generous(fred) | [
"p4",
"p6",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3138813994100950370251852
% SZS output start Proof for 3138813994100950370251852
5. ! [X0] : (~generous(X0) <=> patient(X0)) [input p4]
7. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X0)) [input p6]
9. ! [X0] : ((~wise(X0) & curious(X0)) <=> ~generous(X0)) [inpu... | 0 |
If john is either curious or old then someone is curious or kind and vice versa.
Everyone who is not humble or creative is either not calm or humble.
Everyone who is both calm and funny is both humble and kind.
Everyone who is funny or not rich is not humble.
If someone is not creative or generous then someone is curio... | Paul is not brave. | contradiction | (((curious(john)<~>old(john)))<=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~humble(X)|creative(X))=>(~calm(X)<~>humble(X))))&
(![X]:((calm(X)&funny(X))=>(humble(X)&kind(X))))&
(![X]:((funny(X)|~rich(X))=>~humble(X)))&
((?[X]:((~creative(X)|generous(X))))<=>(?[X]:((curious(X)|rich(X)))))&
(![X]:((creative(X)&old(X))<=>cre... | ~brave(paul) | [
"p1",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1726306348039603372258631
% SZS output start Proof for 1726306348039603372258631
2. ! [X0] : ((creative(X0) | ~humble(X0)) => (~calm(X0) <~> humble(X0))) [input p1]
7. ! [X0] : ((~humble(X0) | ~calm(X0)) <=> (calm(X0) <~> ~wise(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | ~brave(X0)) <=> ca... | 0 |
Everyone who is either strong or rich is not curious and vice versa.
Everyone who is both not funny and creative is wise or not kind and vice versa.
If someone is brave then someone is humble or happy and vice versa.
Everyone who is calm or strong is not old.
If paul is both funny and happy then someone is either not k... | Alice is not brave. | entailment | (![X]:((strong(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~funny(X)&creative(X))<=>(wise(X)|~kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:((calm(X)|strong(X))=>~old(X)))&
(((funny(paul)&happy(paul)))=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(~rich(X)<=>(creative(X)<~>rich(X))))&
(![X]:((calm(X)&~h... | ~brave(alice) | [
"p0",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4745158801678427459705708
% SZS output start Proof for 4745158801678427459705708
1. ! [X0] : ((strong(X0) <~> rich(X0)) <=> ~curious(X0)) [input p0]
6. ! [X0] : (~rich(X0) <=> (creative(X0) <~> rich(X0))) [input p5]
8. ! [X0] : ((~creative(X0) <~> ~strong(X0)) <=> (~humble(X0) & ~creative... | 0 |
Everyone who is not strong is both not wise and creative.
Everyone who is not quiet is humble and vice versa.
If mary is both patient and not calm then someone is wise and vice versa.
If susan is not calm or creative then someone is not patient or not old.
Everyone who is funny is both curious and not funny and vice ve... | Mary is wise. | neutral | (![X]:(~strong(X)=>(~wise(X)&creative(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(((patient(mary)&~calm(mary)))<=>(?[X]:(wise(X))))&
(((~calm(susan)|creative(susan)))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(funny(X)<=>(curious(X)&~funny(X))))&
(((~curious(lucy)<~>~strong(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~old(X)<~... | wise(mary) | [] | null | 0 |
Everyone who is either not funny or rich is both not tall and not happy.
If someone is either calm or tall then someone is not generous and vice versa.
If someone is either not wise or tall then someone is creative or happy and vice versa.
Everyone who is either not generous or old is either kind or strong and vice ver... | Susan is humble. | contradiction | (![X]:((~funny(X)<~>rich(X))=>(~tall(X)&~happy(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~wise(X)<~>tall(X))))<=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((~generous(X)<~>old(X))<=>(kind(X)<~>strong(X))))&
((?[X]:((wise(X)&funny(X))))<=>(?[X]:((generous(X)&old(X)))))&
(((humble(susan)<~>gen... | humble(susan) | [
"p5",
"p6",
"p8",
"p11",
"p15",
"p18",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8872591714813813950405165
% SZS output start Proof for 8872591714813813950405165
6. (humble(susan) <~> generous(susan)) <=> ? [X0] : (calm(X0) <~> ~funny(X0)) [input p5]
7. ! [X0] : (~brave(X0) => (~old(X0) & calm(X0))) [input p6]
9. ! [X0] : ((~tall(X0) <~> ~strong(X0)) => (kind(X0) & ~s... | 0 |
Everyone who is either patient or happy is not quiet or calm and vice versa.
Everyone who is both not kind and not tall is not rich or not brave.
Everyone who is both not tall and not wise is both wise and creative and vice versa.
Everyone who is both not creative and not strong is either not old or kind.
If someone is... | Fred is creative. | entailment | (![X]:((patient(X)<~>happy(X))<=>(~quiet(X)|calm(X))))&
(![X]:((~kind(X)&~tall(X))=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&~wise(X))<=>(wise(X)&creative(X))))&
(![X]:((~creative(X)&~strong(X))=>(~old(X)<~>kind(X))))&
((?[X]:((humble(X)<~>patient(X))))<=>(~tall(susan)))&
(![X]:((happy(X)<~>~generous(X))=>(humble(X)|~r... | creative(fred) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3356283376132488880410434
% SZS output start Proof for 3356283376132488880410434
7. ! [X0] : (~creative(X0) <=> (~curious(X0) & ~generous(X0))) [input p6]
15. ! [X0] : (curious(X0) <=> (curious(X0) <~> ~creative(X0))) [input p14]
25. ~creative(fred) [input hypothesis]
45. ! [X0] : ((~crea... | 0 |
Everyone who is both not humble and not kind is not humble and vice versa. Everyone who is not quiet or not wise is both old and brave and vice versa. Everyone who is not funny is not strong or calm and vice versa. If fred is either rich or not quiet then someone is both patient and not tall. Everyone who is both old a... | Alice is not funny. | contradiction | (![X]:((~humble(X)&~kind(X))<=>~humble(X)))&
(![X]:((~quiet(X)|~wise(X))<=>(old(X)&brave(X))))&
(![X]:(~funny(X)<=>(~strong(X)|calm(X))))&
(((rich(fred)<~>~quiet(fred)))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((old(X)&rich(X))<=>(~generous(X)|kind(X))))&
(((creative(susan)&~strong(susan)))=>((generous(lucy)&old(lucy))... | ~funny(alice) | [
"p1",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3250820707716988370939266
% SZS output start Proof for 3250820707716988370939266
2. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (brave(X0) & old(X0))) [input p1]
11. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~patient(X0) | old(X0))) [input p10]
14. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (kind(X0... | 0 |
If someone is not patient then susan is both not tall and not generous. Everyone who is generous is both creative and old. If someone is either tall or not happy then someone is not strong or kind. Everyone who is not quiet or not brave is both not patient and not strong and vice versa. Everyone who is not tall or not ... | John is creative. | entailment | ((?[X]:(~patient(X)))=>((~tall(susan)&~generous(susan))))&
(![X]:(generous(X)=>(creative(X)&old(X))))&
((?[X]:((tall(X)<~>~happy(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy... | creative(john) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7352550624818444087455662
% SZS output start Proof for 7352550624818444087455662
2. ! [X0] : (generous(X0) => (old(X0) & creative(X0))) [input p1]
15. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> curious(X0)) [input p14]
22. ~creative(john) [input hypothesis]
25. ! [X0] : (generous(X0) =... | 0 |
Everyone who is both tall and strong is not wise or not happy and vice versa.
If susan is not curious then someone is either not kind or not wise.
Everyone who is not humble is both not humble and not creative.
If someone is either not happy or not patient then alice is both strong and not creative.
If someone is not r... | Alice is generous. | contradiction | (![X]:((tall(X)&strong(X))<=>(~wise(X)|~happy(X))))&
((~curious(susan))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:(~humble(X)=>(~humble(X)&~creative(X))))&
((?[X]:((~happy(X)<~>~patient(X))))=>((strong(alice)&~creative(alice))))&
((?[X]:((~rich(X)|rich(X))))=>((~kind(paul)<~>~calm(paul))))&
(![X]:((curious(X)|tall(X))<=>... | generous(alice) | [
"p0",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7851962436984861061682583
% SZS output start Proof for 7851962436984861061682583
1. ! [X0] : ((strong(X0) & tall(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
4. ? [X0] : (~happy(X0) <~> ~patient(X0)) => (~creative(alice) & strong(alice)) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~kind(X0... | 0 |
Everyone who is either not patient or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich... | Susan is rich. | entailment | (![X]:((~patient(X)<~>~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X))... | rich(susan) | [
"p0",
"p2",
"p4",
"p5",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5116915421031824887517295
% SZS output start Proof for 5116915421031824887517295
1. ! [X0] : ((~patient(X0) <~> ~quiet(X0)) => (kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) => (quiet(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (k... | 0 |
If susan is either not strong or not happy then mary is not brave and vice versa.
Everyone who is both not humble and not old is both not wise and tall and vice versa.
If someone is both kind and brave then lucy is both patient and not humble.
Everyone who is not strong is not patient or not happy and vice versa.
Every... | Lucy is not strong. | contradiction | (((~strong(susan)<~>~happy(susan)))<=>(~brave(mary)))&
(![X]:((~humble(X)&~old(X))<=>(~wise(X)&tall(X))))&
((?[X]:((kind(X)&brave(X))))=>((patient(lucy)&~humble(lucy))))&
(![X]:(~strong(X)<=>(~patient(X)|~happy(X))))&
(![X]:((old(X)&~happy(X))<=>(brave(X)<~>kind(X))))&
(![X]:(rich(X)<=>kind(X)))&
((?[X]:(~wise(X)))<=>(... | ~strong(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4057350083737756922394612
% SZS output start Proof for 4057350083737756922394612
1. (~strong(susan) <~> ~happy(susan)) <=> ~brave(mary) [input p0]
3. ? [X0] : (brave(X0) & kind(X0)) => (~humble(lucy) & patient(lucy)) [input p2]
4. ! [X0] : (~strong(X0) <=> (~happy(X0) | ~patient(X0))) [in... | 0 |
If john is tall then mary is quiet or happy and vice versa.
Everyone who is either not wise or wise is both not curious and kind.
Everyone who is brave is both brave and happy and vice versa.
If lucy is both old and not humble then someone is either creative or not strong.
If someone is not humble then fred is not quie... | Fred is not kind. | contradiction | ((tall(john))<=>((quiet(mary)|happy(mary))))&
(![X]:((~wise(X)<~>wise(X))=>(~curious(X)&kind(X))))&
(![X]:(brave(X)<=>(brave(X)&happy(X))))&
(((old(lucy)&~humble(lucy)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))<=>((~quiet(fred)|~happy(fred))))&
(![X]:((~funny(X)|curious(X))=>(rich(X)|patient(X))))&
(... | ~kind(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6759755371822981894631308
% SZS output start Proof for 6759755371822981894631308
2. ! [X0] : ((~wise(X0) <~> wise(X0)) => (kind(X0) & ~curious(X0))) [input p1]
23. ~kind(fred) [input hypothesis]
25. ! [X0] : ((kind(X0) & ~curious(X0)) | (~wise(X0) <=> wise(X0))) [ennf transformation 2]
37... | 0 |
Everyone who is not old or not brave is both not old and creative and vice versa.
Everyone who is either not quiet or wise is not rich and vice versa.
If someone is either curious or not generous then someone is both funny and not humble and vice versa.
Everyone who is both not curious and not wise is not happy and vic... | Paul is brave. | entailment | (![X]:((~old(X)|~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>~rich(X)))&
((?[X]:((curious(X)<~>~generous(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:((~curious(X)&~wise(X))<=>~happy(X)))&
(((~rich(lucy)<~>patient(lucy)))<=>((curious(lucy)|humble(lucy))))&
(![X]:((kind(X)&old(X))<=>funny(X)))&... | brave(paul) | [
"p0",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3258560134800536646169107
% SZS output start Proof for 3258560134800536646169107
1. ! [X0] : ((~brave(X0) | ~old(X0)) <=> (creative(X0) & ~old(X0))) [input p0]
10. ! [X0] : ((~old(X0) | ~humble(X0)) => (~tall(X0) & generous(X0))) [input p9]
20. patient(paul) & ~generous(paul) [input p19]
... | 0 |
If someone is both not calm and wise then paul is brave or not curious and vice versa.
Everyone who is old or not wise is either wise or curious and vice versa.
If someone is not patient or not happy then paul is both not patient and not brave and vice versa.
Everyone who is both not tall and not curious is curious or ... | Mary is humble. | neutral | ((?[X]:((~calm(X)&wise(X))))<=>((brave(paul)|~curious(paul))))&
(![X]:((old(X)|~wise(X))<=>(wise(X)<~>curious(X))))&
((?[X]:((~patient(X)|~happy(X))))<=>((~patient(paul)&~brave(paul))))&
(![X]:((~tall(X)&~curious(X))=>(curious(X)|funny(X))))&
(![X]:((tall(X)|old(X))<=>~tall(X)))&
(![X]:((~kind(X)&~generous(X))<=>(~happ... | humble(mary) | [] | null | 0 |
Everyone who is either quiet or calm is both creative and generous and vice versa.
Everyone who is both kind and not brave is either not kind or tall.
Everyone who is either not rich or happy is both not generous and not calm.
If john is either not quiet or not tall then mary is both not brave and not humble.
Everyone ... | Mary is not rich. | entailment | (![X]:((quiet(X)<~>calm(X))<=>(creative(X)&generous(X))))&
(![X]:((kind(X)&~brave(X))=>(~kind(X)<~>tall(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~generous(X)&~calm(X))))&
(((~quiet(john)<~>~tall(john)))=>((~brave(mary)&~humble(mary))))&
(![X]:((wise(X)&calm(X))=>(~humble(X)|calm(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(... | ~rich(mary) | [
"p0",
"p2",
"p7",
"p9",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8897470427941463010319665
% SZS output start Proof for 8897470427941463010319665
1. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (generous(X0) & creative(X0))) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) => (~calm(X0) & ~generous(X0))) [input p2]
8. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~... | 0 |
If someone is quiet then fred is either creative or generous.
Everyone who is not kind or creative is funny or not rich and vice versa.
If paul is not funny or calm then paul is not generous or humble and vice versa.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both... | Alice is not curious. | contradiction | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|creative(X))<=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=... | ~curious(alice) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 185265110557447024643432
% SZS output start Proof for 185265110557447024643432
5. ! [X0] : (~curious(X0) => (~humble(X0) & ~generous(X0))) [input p4]
7. ! [X0] : (~creative(X0) => ~patient(X0)) [input p6]
8. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p7]
10. ! [X0] : ((... | 0 |
If paul is not wise or not curious then lucy is not calm and vice versa.
Everyone who is curious is not creative and vice versa.
Everyone who is old or strong is not wise.
If someone is funny then someone is not rich or brave and vice versa.
Everyone who is creative or strong is not patient or calm and vice versa.
If s... | Lucy is not rich. | contradiction | (((~wise(paul)|~curious(paul)))<=>(~calm(lucy)))&
(![X]:(curious(X)<=>~creative(X)))&
(![X]:((old(X)|strong(X))=>~wise(X)))&
((?[X]:(funny(X)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:((creative(X)|strong(X))<=>(~patient(X)|calm(X))))&
((?[X]:(brave(X)))=>(?[X]:((rich(X)<~>~generous(X)))))&
(((generous(susan)<~>~rich(su... | ~rich(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p8",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6687245969420014515902196
% SZS output start Proof for 6687245969420014515902196
1. (~curious(paul) | ~wise(paul)) <=> ~calm(lucy) [input p0]
2. ! [X0] : (curious(X0) <=> ~creative(X0)) [input p1]
3. ! [X0] : ((strong(X0) | old(X0)) => ~wise(X0)) [input p2]
5. ! [X0] : ((strong(X0) | crea... | 0 |
If someone is not wise then someone is not funny or not happy and vice versa.
Everyone who is humble is patient or strong and vice versa.
If someone is wise or not calm then someone is not curious or not calm and vice versa.
Everyone who is both tall and not wise is either not creative or not tall and vice versa.
Every... | John is not happy. | contradiction | ((?[X]:(~wise(X)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(humble(X)<=>(patient(X)|strong(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((tall(X)&~wise(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((tall(X)&curious(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~old(X))=>~quiet(X)))&
(((~funny(mary)... | ~happy(john) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2295466126954253707787251
% SZS output start Proof for 2295466126954253707787251
1. ? [X0] : ~wise(X0) <=> ? [X0] : (~happy(X0) | ~funny(X0)) [input p0]
5. ! [X0] : ((curious(X0) & tall(X0)) <=> ~wise(X0)) [input p4]
9. ! [X0] : ((happy(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p8... | 0 |
Everyone who is not funny or not old is both not quiet and not humble.
Everyone who is both not tall and not calm is not curious and vice versa.
If someone is both not happy and not wise then someone is creative or rich.
If alice is creative or wise then lucy is both wise and not strong and vice versa.
Everyone who is ... | Fred is patient. | neutral | (![X]:((~funny(X)|~old(X))=>(~quiet(X)&~humble(X))))&
(![X]:((~tall(X)&~calm(X))<=>~curious(X)))&
((?[X]:((~happy(X)&~wise(X))))=>(?[X]:((creative(X)|rich(X)))))&
(((creative(alice)|wise(alice)))<=>((wise(lucy)&~strong(lucy))))&
(![X]:((~strong(X)|~tall(X))<=>(old(X)|funny(X))))&
((~calm(john))=>((~brave(susan)&funny(s... | patient(fred) | [] | null | 0 |
Everyone who is both strong and patient is not humble or kind and vice versa.
If john is not tall then john is either not quiet or wise.
If susan is tall or not happy then someone is both not curious and not old.
If someone is tall or not calm then someone is not quiet and vice versa.
Everyone who is either strong or n... | Susan is not old. | entailment | (![X]:((strong(X)&patient(X))<=>(~humble(X)|kind(X))))&
((~tall(john))=>((~quiet(john)<~>wise(john))))&
(((tall(susan)|~happy(susan)))=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((tall(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((strong(X)<~>~strong(X))<=>(wise(X)&happy(X))))&
(![X]:((humble(X)|generous(X))=>strong(X)))... | ~old(susan) | [
"p0",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2532363615272376190559555
% SZS output start Proof for 2532363615272376190559555
1. ! [X0] : ((patient(X0) & strong(X0)) <=> (kind(X0) | ~humble(X0))) [input p0]
6. ! [X0] : ((generous(X0) | humble(X0)) => strong(X0)) [input p5]
14. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (old(X0) | calm(... | 0 |
Everyone who is both quiet and not happy is not tall.
Everyone who is either not generous or not curious is both humble and not patient.
Everyone who is either not funny or generous is happy.
If someone is patient then someone is tall or not kind.
If someone is not humble then alice is brave and vice versa.
If someone ... | Susan is not patient. | neutral | (![X]:((quiet(X)&~happy(X))=>~tall(X)))&
(![X]:((~generous(X)<~>~curious(X))=>(humble(X)&~patient(X))))&
(![X]:((~funny(X)<~>generous(X))=>happy(X)))&
((?[X]:(patient(X)))=>(?[X]:((tall(X)|~kind(X)))))&
((?[X]:(~humble(X)))<=>(brave(alice)))&
((?[X]:((~calm(X)&~strong(X))))=>(?[X]:((tall(X)&~kind(X)))))&
((?[X]:((gener... | ~patient(susan) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is either patient or funny then someone is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who is either creative or not brave is either not hap... | John is happy. | entailment | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((patient(paul)<~>funny(paul)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(john)))=>((creative(alice)|tall(alice))))&... | happy(john) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3048717690548329621596955
% SZS output start Proof for 3048717690548329621596955
1. ! [X0] : ((~strong(X0) <~> ~kind(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (kind(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((... | 0 |
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