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 not tall or not rich is both wise and not happy and vice versa. If someone is strong or happy then someone is either not patient or not wise. Everyone who is either strong or old is both not humble and not strong. If someone is not generous then susan is either not quiet or not kind. Everyone who is bot... | Lucy is not happy. | entailment | (![X]:((~tall(X)|~rich(X))<=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|happy(X))))=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>old(X))=>(~humble(X)&~strong(X))))&
((?[X]:(~generous(X)))=>((~quiet(susan)<~>~kind(susan))))&
(![X]:((creative(X)&rich(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~tall(X))... | ~happy(lucy) | [
"p0",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3949929769990960940579317
% SZS output start Proof for 3949929769990960940579317
1. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> (~happy(X0) & wise(X0))) [input p0]
6. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> humble(X0)) [input p5]
15. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humbl... | 0 |
Everyone who is both curious and not calm is not old. Everyone who is both old and rich is both not curious and rich and vice versa. If john is both not patient and strong then someone is not tall. If someone is not quiet then someone is not calm or not old and vice versa. Everyone who is not generous or not calm is ei... | Mary is creative. | neutral | (![X]:((curious(X)&~calm(X))=>~old(X)))&
(![X]:((old(X)&rich(X))<=>(~curious(X)&rich(X))))&
(((~patient(john)&strong(john)))=>(?[X]:(~tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~generous(X)|~calm(X))=>(~humble(X)<~>patient(X))))&
(((happy(mary)|~calm(mary)))=>((~kind(lucy)|~happy(lucy))))&
... | creative(mary) | [] | null | 0 |
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vice versa.
Everyone who is not strong or old is both funny and not tall.
Everyone wh... | Paul is funny. | contradiction | (![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(... | funny(paul) | [
"p0",
"p2",
"p5",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 850970967834364477049250
% SZS output start Proof for 850970967834364477049250
1. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p0]
3. ! [X0] : (~curious(X0) <=> patient(X0)) [input p2]
6. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (curious(X0) & tall(X0))) [input... | 0 |
If mary is creative or old then fred is either old or not humble. Everyone who is not rich or not old is not generous and vice versa. If john is tall or old then john is not calm or not brave and vice versa. Everyone who is happy is both not tall and not old and vice versa. Everyone who is not brave is not generous or ... | Paul is tall. | neutral | (((creative(mary)|old(mary)))=>((old(fred)<~>~humble(fred))))&
(![X]:((~rich(X)|~old(X))<=>~generous(X)))&
(((tall(john)|old(john)))<=>((~calm(john)|~brave(john))))&
(![X]:(happy(X)<=>(~tall(X)&~old(X))))&
(![X]:(~brave(X)<=>(~generous(X)|funny(X))))&
(![X]:(brave(X)<=>humble(X)))&
(![X]:((~curious(X)&~quiet(X))<=>(fun... | tall(paul) | [] | null | 0 |
If fred is either quiet or not tall then mary is either not funny or quiet. Everyone who is not old or not strong is both curious and calm and vice versa. If someone is either not wise or generous then someone is either kind or not old and vice versa. If someone is humble then susan is old or not tall and vice versa. E... | Lucy is not creative. | neutral | (((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(humble(X)))<=>((old(susan)|~tall(susan))))&
(![X]:((tall(X)&patient(X))=>(tall(X)|~rich(X))))&
(![X]:((~happy(X)|~curious(X))... | ~creative(lucy) | [] | null | 0 |
Everyone who is not calm or calm is either curious or not generous.
Everyone who is both creative and strong is not kind.
Everyone who is both not wise and not strong is either not wise or patient and vice versa.
Everyone who is not kind or not rich is either quiet or not brave.
Everyone who is curious is generous or n... | Paul is wise. | entailment | (![X]:((~calm(X)|calm(X))=>(curious(X)<~>~generous(X))))&
(![X]:((creative(X)&strong(X))=>~kind(X)))&
(![X]:((~wise(X)&~strong(X))<=>(~wise(X)<~>patient(X))))&
(![X]:((~kind(X)|~rich(X))=>(quiet(X)<~>~brave(X))))&
(![X]:(curious(X)=>(generous(X)|~rich(X))))&
(((kind(mary)<~>curious(mary)))=>(?[X]:((funny(X)<~>~funny(X)... | wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4127777829074717444744170
% SZS output start Proof for 4127777829074717444744170
1. ! [X0] : ((calm(X0) | ~calm(X0)) => (curious(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((strong(X0) & creative(X0)) => ~kind(X0)) [input p1]
3. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (~wise(X0) <~> p... | 0 |
If fred is funny or creative then mary is happy.
If someone is tall then john is patient or not rich.
Everyone who is either curious or not creative is both not rich and brave and vice versa.
Everyone who is not creative or tall is both not strong and creative.
If mary is creative or not strong then someone is either n... | Mary is calm. | entailment | (((funny(fred)|creative(fred)))=>(happy(mary)))&
((?[X]:(tall(X)))=>((patient(john)|~rich(john))))&
(![X]:((curious(X)<~>~creative(X))<=>(~rich(X)&brave(X))))&
(![X]:((~creative(X)|tall(X))=>(~strong(X)&creative(X))))&
(((creative(mary)|~strong(mary)))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
((?[X]:((creative(X)&~curious... | calm(mary) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4431395507175222918121512
% SZS output start Proof for 4431395507175222918121512
4. ! [X0] : ((tall(X0) | ~creative(X0)) => (creative(X0) & ~strong(X0))) [input p3]
10. ! [X0] : ((patient(X0) | ~calm(X0)) <=> (old(X0) & ~creative(X0))) [input p9]
25. ~calm(mary) [input hypothesis]
33. ! [... | 0 |
If susan is not rich then susan is humble or not calm. Everyone who is not calm is either quiet or humble and vice versa. If fred is not creative or not generous then someone is not calm or not tall. Everyone who is funny is not kind or patient and vice versa. If someone is either brave or funny then someone is both no... | Alice is patient. | contradiction | ((~rich(susan))=>((humble(susan)|~calm(susan))))&
(![X]:(~calm(X)<=>(quiet(X)<~>humble(X))))&
(((~creative(fred)|~generous(fred)))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:(funny(X)<=>(~kind(X)|patient(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:((~generous(X)|wise(X))=>(~humble(X)<~>~... | patient(alice) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8714439968688303446962422
% SZS output start Proof for 8714439968688303446962422
4. ! [X0] : (funny(X0) <=> (patient(X0) | ~kind(X0))) [input p3]
5. ? [X0] : (brave(X0) <~> funny(X0)) => ? [X0] : (brave(X0) & ~generous(X0)) [input p4]
10. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) ... | 0 |
Everyone who is not calm or patient is generous and vice versa.
Everyone who is wise or not old is both not happy and wise and vice versa.
If fred is not calm or not old then susan is either rich or quiet.
If susan is generous or not generous then someone is either strong or not creative.
Everyone who is not brave or b... | Alice is not generous. | contradiction | (![X]:((~calm(X)|patient(X))<=>generous(X)))&
(![X]:((wise(X)|~old(X))<=>(~happy(X)&wise(X))))&
(((~calm(fred)|~old(fred)))=>((rich(susan)<~>quiet(susan))))&
(((generous(susan)|~generous(susan)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~brave(X)|brave(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~brave(X)<~>generous... | ~generous(alice) | [
"p0",
"p6",
"p8",
"p9",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4010994927834957293848358
% SZS output start Proof for 4010994927834957293848358
1. ! [X0] : ((patient(X0) | ~calm(X0)) <=> generous(X0)) [input p0]
7. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (generous(X0) <~> tall(X0))) [input p6]
9. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> ~tall(X0)) [i... | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious ... | John is not curious. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&... | ~curious(john) | [] | null | 0 |
If someone is either curious or not strong then someone is curious or rich and vice versa. If john is happy or not humble then someone is not happy or not tall and vice versa. If someone is quiet or happy then someone is not wise or not quiet and vice versa. Everyone who is both not humble and old is generous. If someo... | Mary is not generous. | contradiction | ((?[X]:((curious(X)<~>~strong(X))))<=>(?[X]:((curious(X)|rich(X)))))&
(((happy(john)|~humble(john)))<=>(?[X]:((~happy(X)|~tall(X)))))&
((?[X]:((quiet(X)|happy(X))))<=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:((~humble(X)&old(X))=>generous(X)))&
((?[X]:((wise(X)|calm(X))))<=>((humble(paul)|happy(paul))))&
(((patient(lucy)&... | ~generous(mary) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 342682924017397788284949
% SZS output start Proof for 342682924017397788284949
12. ! [X0] : ((strong(X0) | patient(X0)) => generous(X0)) [input p11]
22. strong(mary) & humble(mary) [input p21]
25. ~generous(mary) [input hypothesis]
34. ! [X0] : (generous(X0) | (~strong(X0) & ~patient(X0))... | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is wise or humble is calm.
Everyone who is not curious or rich is not strong or not brave.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or... | Lucy is not kind. | entailment | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~curious(X)|rich(X))=>(~strong(X)|~brave(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)... | ~kind(lucy) | [
"p6",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6373039924699296058494743
% SZS output start Proof for 6373039924699296058494743
7. ! [X0] : ((old(X0) <~> patient(X0)) => (~happy(X0) & ~rich(X0))) [input p6]
12. ! [X0] : ((~rich(X0) | patient(X0)) <=> ~humble(X0)) [input p11]
17. old(lucy) [input p16]
19. kind(lucy) <~> ~humble(lucy) [... | 0 |
Everyone who is quiet or not patient is either humble or not kind.
Everyone who is either not generous or old is calm.
If someone is humble then alice is either not generous or not kind and vice versa.
Everyone who is patient is not generous.
Everyone who is calm is both patient and wise and vice versa.
If someone is b... | Lucy is not generous. | contradiction | (![X]:((quiet(X)|~patient(X))=>(humble(X)<~>~kind(X))))&
(![X]:((~generous(X)<~>old(X))=>calm(X)))&
((?[X]:(humble(X)))<=>((~generous(alice)<~>~kind(alice))))&
(![X]:(patient(X)=>~generous(X)))&
(![X]:(calm(X)<=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)&~kind(X))))=>((funny(lucy)<~>~kind(lucy))))&
(![X]:((~funny(X)&... | ~generous(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 198398198466923795506323
% SZS output start Proof for 198398198466923795506323
1. ! [X0] : ((~patient(X0) | quiet(X0)) => (humble(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> old(X0)) => calm(X0)) [input p1]
5. ! [X0] : (calm(X0) <=> (wise(X0) & patient(X0))) [input p4]
... | 0 |
Everyone who is both not wise and quiet is not funny.
Everyone who is old is both rich and humble and vice versa.
Everyone who is quiet is both curious and not happy.
If john is wise then paul is either old or not curious.
Everyone who is both quiet and not humble is brave.
Everyone who is not funny or not strong is bo... | Mary is not wise. | neutral | (![X]:((~wise(X)&quiet(X))=>~funny(X)))&
(![X]:(old(X)<=>(rich(X)&humble(X))))&
(![X]:(quiet(X)=>(curious(X)&~happy(X))))&
((wise(john))=>((old(paul)<~>~curious(paul))))&
(![X]:((quiet(X)&~humble(X))=>brave(X)))&
(![X]:((~funny(X)|~strong(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>((old(paul)&~gen... | ~wise(mary) | [] | null | 0 |
If someone is humble or funny then someone is not tall.
Everyone who is both happy and not generous is either not wise or not happy and vice versa.
If susan is not tall or not funny then lucy is either creative or not creative and vice versa.
Everyone who is either old or quiet is not patient or curious and vice versa.... | Susan is not strong. | neutral | ((?[X]:((humble(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)&~generous(X))<=>(~wise(X)<~>~happy(X))))&
(((~tall(susan)|~funny(susan)))<=>((creative(lucy)<~>~creative(lucy))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)|curious(X))))&
(![X]:((~quiet(X)&~rich(X))=>(patient(X)&~tall(X))))&
(![X]:((~wise(X)|calm(X))... | ~strong(susan) | [] | null | 0 |
Everyone who is both curious and funny is not calm or not generous and vice versa. Everyone who is both not old and not strong is either not happy or not old and vice versa. If someone is both not quiet and not wise then someone is both rich and not curious and vice versa. If someone is humble or curious then fred is e... | Fred is not patient. | entailment | (![X]:((curious(X)&funny(X))<=>(~calm(X)|~generous(X))))&
(![X]:((~old(X)&~strong(X))<=>(~happy(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~wise(X))))<=>(?[X]:((rich(X)&~curious(X)))))&
((?[X]:((humble(X)|curious(X))))<=>((curious(fred)<~>~curious(fred))))&
(![X]:(old(X)<=>(rich(X)&~humble(X))))&
(![X]:((wise(X)|creative(X))=... | ~patient(fred) | [
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8251863355036802709597423
% SZS output start Proof for 8251863355036802709597423
5. ! [X0] : (old(X0) <=> (~humble(X0) & rich(X0))) [input p4]
6. ! [X0] : ((creative(X0) | wise(X0)) => (~patient(X0) & ~quiet(X0))) [input p5]
8. ! [X0] : ((patient(X0) <~> humble(X0)) <=> ~wise(X0)) [input ... | 0 |
Everyone who is either funny or not quiet is curious.
Everyone who is both not strong and strong is both humble and patient.
Everyone who is both curious and not happy is not humble.
Everyone who is not patient is both humble and not happy and vice versa.
If john is either not quiet or not rich then someone is either n... | Mary is not calm. | contradiction | (![X]:((funny(X)<~>~quiet(X))=>curious(X)))&
(![X]:((~strong(X)&strong(X))=>(humble(X)&patient(X))))&
(![X]:((curious(X)&~happy(X))=>~humble(X)))&
(![X]:(~patient(X)<=>(humble(X)&~happy(X))))&
(((~quiet(john)<~>~rich(john)))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:(brave(X)<=>(wise(X)|happy(X))))&
((?[X]:(~funny(X)))=... | ~calm(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3503414601492020287401442
% SZS output start Proof for 3503414601492020287401442
10. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p9]
24. ~calm(mary) [input hypothesis]
53. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | ~rich(X0)) & (rich(X0) | ((~rich(X0) | ~ca... | 0 |
Everyone who is either not old or not patient is both not creative and not funny and vice versa.
Everyone who is calm or funny is either not quiet or not funny.
Everyone who is strong or generous is creative and vice versa.
Everyone who is either not creative or not funny is either quiet or not humble and vice versa.
I... | Paul is not kind. | contradiction | (![X]:((~old(X)<~>~patient(X))<=>(~creative(X)&~funny(X))))&
(![X]:((calm(X)|funny(X))=>(~quiet(X)<~>~funny(X))))&
(![X]:((strong(X)|generous(X))<=>creative(X)))&
(![X]:((~creative(X)<~>~funny(X))<=>(quiet(X)<~>~humble(X))))&
(((~rich(susan)&quiet(susan)))<=>((~kind(alice)<~>kind(alice))))&
((?[X]:((happy(X)|~calm(X)))... | ~kind(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4147164411108891012610273
% SZS output start Proof for 4147164411108891012610273
1. ! [X0] : ((~old(X0) <~> ~patient(X0)) <=> (~funny(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((funny(X0) | calm(X0)) => (~quiet(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((generous(X0) | strong(X0)) <=... | 0 |
If someone is not rich or not funny then mary is kind.
Everyone who is quiet or not generous is not creative or happy and vice versa.
Everyone who is not generous or not brave is happy and vice versa.
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy ... | Mary is rich. | entailment | ((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)|~brave(X))<=>happy(X)))&
(((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~cal... | rich(mary) | [
"p0",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1496615830623877912209137
% SZS output start Proof for 1496615830623877912209137
1. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p0]
9. ! [X0] : ((~creative(X0) <~> kind(X0)) => (rich(X0) <~> tall(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (~kind(X0) & ~pa... | 0 |
If someone is happy or tall then alice is calm and vice versa.
Everyone who is both not generous and not tall is both kind and old.
Everyone who is either not calm or not quiet is both not funny and kind.
Everyone who is either not calm or curious is both calm and not generous and vice versa.
Everyone who is not humble... | Mary is humble. | contradiction | ((?[X]:((happy(X)|tall(X))))<=>(calm(alice)))&
(![X]:((~generous(X)&~tall(X))=>(kind(X)&old(X))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~funny(X)&kind(X))))&
(![X]:((~calm(X)<~>curious(X))<=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)|strong(X))=>(~brave(X)&~calm(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:((old(X)|patie... | humble(mary) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2801246622345765289303267
% SZS output start Proof for 2801246622345765289303267
14. ! [X0] : ((~humble(X0) & tall(X0)) <=> tall(X0)) [input p13]
15. ! [X0] : ((strong(X0) | humble(X0)) <=> (kind(X0) & tall(X0))) [input p14]
21. humble(mary) [input hypothesis]
54. ! [X0] : (((~humble(X0) ... | 0 |
If someone is not curious or not happy then alice is both kind and humble. If someone is both not tall and not patient then someone is both strong and tall and vice versa. If someone is not generous or not strong then john is either strong or tall. If paul is not kind then someone is not happy or patient. If someone is... | Paul is brave. | entailment | ((?[X]:((~curious(X)|~happy(X))))=>((kind(alice)&humble(alice))))&
((?[X]:((~tall(X)&~patient(X))))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:((~generous(X)|~strong(X))))=>((strong(john)<~>tall(john))))&
((~kind(paul))=>(?[X]:((~happy(X)|patient(X)))))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((calm(X)<~>~calm(X)))))&
((?... | brave(paul) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1584649350967669736718392
% SZS output start Proof for 1584649350967669736718392
12. ! [X0] : (~creative(X0) <=> brave(X0)) [input p11]
22. ~creative(paul) [input p21]
25. ~brave(paul) [input hypothesis]
72. ! [X0] : ((~creative(X0) | ~brave(X0)) & (brave(X0) | creative(X0))) [nnf transfo... | 0 |
Everyone who is not happy or not funny is either quiet or funny.
Everyone who is quiet or not creative is either not patient or not humble and vice versa.
Everyone who is not strong is not curious and vice versa.
If someone is not tall or patient then someone is both not brave and humble.
If someone is both creative an... | Paul is kind. | neutral | (![X]:((~happy(X)|~funny(X))=>(quiet(X)<~>funny(X))))&
(![X]:((quiet(X)|~creative(X))<=>(~patient(X)<~>~humble(X))))&
(![X]:(~strong(X)<=>~curious(X)))&
((?[X]:((~tall(X)|patient(X))))=>(?[X]:((~brave(X)&humble(X)))))&
((?[X]:((creative(X)&calm(X))))=>(?[X]:((~old(X)|~wise(X)))))&
((~quiet(alice))<=>(?[X]:((~strong(X)|... | kind(paul) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is calm or generous then paul is quiet and vice versa.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is both humble and happy is ... | John is not happy. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((calm(X)|generous(X))))<=>(quiet(paul)))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(ric... | ~happy(john) | [
"p1",
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3483746839759665459731257
% SZS output start Proof for 3483746839759665459731257
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
5. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p4]
7. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p6]
8. ! [X0] : ((hu... | 0 |
Everyone who is kind or not calm is calm or patient.
If alice is not quiet or tall then someone is old and vice versa.
Everyone who is either not funny or quiet is either wise or not brave and vice versa.
If paul is tall then someone is tall.
Everyone who is either not happy or creative is not patient.
If someone is bo... | John is generous. | entailment | (![X]:((kind(X)|~calm(X))=>(calm(X)|patient(X))))&
(((~quiet(alice)|tall(alice)))<=>(?[X]:(old(X))))&
(![X]:((~funny(X)<~>quiet(X))<=>(wise(X)<~>~brave(X))))&
((tall(paul))=>(?[X]:(tall(X))))&
(![X]:((~happy(X)<~>creative(X))=>~patient(X)))&
((?[X]:((~generous(X)&quiet(X))))<=>((humble(lucy)&~patient(lucy))))&
((?[X]:(... | generous(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9002366962587125898358986
% SZS output start Proof for 9002366962587125898358986
13. ! [X0] : ((tall(X0) | ~tall(X0)) => generous(X0)) [input p12]
24. ~generous(john) [input hypothesis]
34. ! [X0] : (generous(X0) | (~tall(X0) & tall(X0))) [ennf transformation 13]
116. generous(X0) | tall(... | 0 |
Everyone who is either humble or strong is calm and vice versa. Everyone who is both not quiet and quiet is not happy. Everyone who is curious is both calm and patient. Everyone who is not kind is brave. Everyone who is both not calm and rich is not happy or old and vice versa. If someone is not tall then someone is cr... | Susan is happy. | neutral | (![X]:((humble(X)<~>strong(X))<=>calm(X)))&
(![X]:((~quiet(X)&quiet(X))=>~happy(X)))&
(![X]:(curious(X)=>(calm(X)&patient(X))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:((~calm(X)&rich(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((generous(X)<~>~funny(X))=>(~quiet(X)&curious(X))))... | happy(susan) | [] | null | 0 |
Everyone who is both kind and not creative is either generous or brave and vice versa.
Everyone who is either curious or old is both not brave and not strong and vice versa.
If susan is not old or not happy then someone is either old or not old.
Everyone who is both not old and not generous is not curious and vice vers... | John is brave. | entailment | (![X]:((kind(X)&~creative(X))<=>(generous(X)<~>brave(X))))&
(![X]:((curious(X)<~>old(X))<=>(~brave(X)&~strong(X))))&
(((~old(susan)|~happy(susan)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:((~old(X)&~generous(X))<=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:((~quiet(X)<~>~curiou... | brave(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4630907067177376209192622
% SZS output start Proof for 4630907067177376209192622
21. ~quiet(john) & brave(john) [input p20]
24. ~brave(john) [input hypothesis]
164. brave(john) [cnf transformation 21]
170. ~brave(john) [cnf transformation 24]
394. $false [subsumption resolution 170,164]
%... | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | Lucy is not old. | neutral | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | ~old(lucy) | [] | null | 0 |
If someone is creative then mary is patient.
Everyone who is both not quiet and not old is either rich or wise.
Everyone who is both wise and curious is not creative or creative and vice versa.
If alice is strong then someone is not wise.
Everyone who is either not wise or not tall is not kind or kind.
Everyone who is ... | Mary is not old. | neutral | ((?[X]:(creative(X)))=>(patient(mary)))&
(![X]:((~quiet(X)&~old(X))=>(rich(X)<~>wise(X))))&
(![X]:((wise(X)&curious(X))<=>(~creative(X)|creative(X))))&
((strong(alice))=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
(![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((curious(X)&... | ~old(mary) | [] | null | 0 |
Everyone who is not funny or strong is either humble or not strong.
If mary is both not brave and not kind then alice is either creative or strong.
Everyone who is either not creative or not curious is either not rich or generous and vice versa.
Everyone who is not creative is not tall or brave and vice versa.
Everyone... | Alice is creative. | neutral | (![X]:((~funny(X)|strong(X))=>(humble(X)<~>~strong(X))))&
(((~brave(mary)&~kind(mary)))=>((creative(alice)<~>strong(alice))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~rich(X)<~>generous(X))))&
(![X]:(~creative(X)<=>(~tall(X)|brave(X))))&
(![X]:((old(X)&~brave(X))=>(~old(X)|tall(X))))&
(![X]:((~tall(X)|creative(X))=>(~c... | creative(alice) | [] | null | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Susan is not generous. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | ~generous(susan) | [] | null | 0 |
Everyone who is funny is either not wise or calm and vice versa. If someone is kind or not strong then paul is happy or brave. If susan is either creative or tall then fred is not strong. If fred is quiet or not rich then susan is not happy or not old. Everyone who is rich or not wise is not brave. Everyone who is not ... | John is not funny. | contradiction | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((kind(X)|~strong(X))))=>((happy(paul)|brave(paul))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(fred)... | ~funny(john) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9162530000856227556673151
% SZS output start Proof for 9162530000856227556673151
1. ! [X0] : (funny(X0) <=> (~wise(X0) <~> calm(X0))) [input p0]
5. ! [X0] : ((~wise(X0) | rich(X0)) => ~brave(X0)) [input p4]
8. ! [X0] : (~brave(X0) <=> (~wise(X0) & happy(X0))) [input p7]
9. ! [X0] : ((rich... | 0 |
If mary is both not rich and not calm then john is both rich and not curious.
Everyone who is strong is not strong or quiet.
Everyone who is either not happy or creative is old or generous.
Everyone who is quiet or rich is either patient or not kind.
Everyone who is either generous or not rich is not calm or not brave.... | Mary is rich. | contradiction | (((~rich(mary)&~calm(mary)))=>((rich(john)&~curious(john))))&
(![X]:(strong(X)=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~kind(X))))&
(![X]:((generous(X)<~>~rich(X))=>(~calm(X)|~brave(X))))&
((?[X]:((creative(X)<~>calm(X))))<=>(?[X]:((wi... | rich(mary) | [
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3955081512822311494533016
% SZS output start Proof for 3955081512822311494533016
4. ! [X0] : ((rich(X0) | quiet(X0)) => (patient(X0) <~> ~kind(X0))) [input p3]
13. ! [X0] : (kind(X0) => (~creative(X0) & ~patient(X0))) [input p12]
14. ! [X0] : (calm(X0) => (~rich(X0) & ~humble(X0))) [input... | 0 |
Everyone who is not brave is not calm or not curious. Everyone who is either not brave or humble is both not patient and not creative. Everyone who is brave or rich is both not funny and old and vice versa. If someone is not funny then lucy is not quiet or calm and vice versa. If alice is creative then alice is either ... | Alice is strong. | contradiction | (![X]:(~brave(X)=>(~calm(X)|~curious(X))))&
(![X]:((~brave(X)<~>humble(X))=>(~patient(X)&~creative(X))))&
(![X]:((brave(X)|rich(X))<=>(~funny(X)&old(X))))&
((?[X]:(~funny(X)))<=>((~quiet(lucy)|calm(lucy))))&
((creative(alice))<=>((old(alice)<~>~rich(alice))))&
(![X]:((~funny(X)|generous(X))=>humble(X)))&
((?[X]:((funny... | strong(alice) | [
"p0",
"p2",
"p4",
"p9",
"p12",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1752416421361529143784270
% SZS output start Proof for 1752416421361529143784270
1. ! [X0] : (~brave(X0) => (~curious(X0) | ~calm(X0))) [input p0]
3. ! [X0] : ((rich(X0) | brave(X0)) <=> (old(X0) & ~funny(X0))) [input p2]
5. creative(alice) <=> (old(alice) <~> ~rich(alice)) [input p4]
10.... | 0 |
If fred is not old then alice is not creative and vice versa. Everyone who is either generous or old is either humble or quiet. Everyone who is either brave or generous is either not humble or not rich. Everyone who is either quiet or old is tall or curious and vice versa. Everyone who is funny is not quiet or humble a... | Fred is brave. | entailment | ((~old(fred))<=>(~creative(alice)))&
(![X]:((generous(X)<~>old(X))=>(humble(X)<~>quiet(X))))&
(![X]:((brave(X)<~>generous(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>old(X))<=>(tall(X)|curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~quiet(X)=>(brave(X)&~old(X))))&
(![X]:((generous(X)|humble(X))... | brave(fred) | [
"p6",
"p7",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8255014873971690100328561
% SZS output start Proof for 8255014873971690100328561
7. ! [X0] : ((humble(X0) | generous(X0)) => (~creative(X0) & ~strong(X0))) [input p6]
8. ! [X0] : ((old(X0) & ~humble(X0)) <=> brave(X0)) [input p7]
9. ! [X0] : (~creative(X0) => (~wise(X0) <~> ~creative(X0))... | 0 |
Everyone who is either not curious or not old is either not funny or not kind.
If someone is not rich or not old then someone is either not wise or not patient and vice versa.
Everyone who is either not kind or creative is not strong and vice versa.
If mary is generous then susan is not calm and vice versa.
Everyone wh... | John is kind. | neutral | (![X]:((~curious(X)<~>~old(X))=>(~funny(X)<~>~kind(X))))&
((?[X]:((~rich(X)|~old(X))))<=>(?[X]:((~wise(X)<~>~patient(X)))))&
(![X]:((~kind(X)<~>creative(X))<=>~strong(X)))&
((generous(mary))<=>(~calm(susan)))&
(![X]:(~generous(X)<=>~curious(X)))&
(![X]:((~creative(X)&~curious(X))<=>(~kind(X)|~patient(X))))&
((?[X]:((~t... | kind(john) | [] | null | 0 |
Everyone who is not creative is either not tall or not kind and vice versa.
Everyone who is funny or not wise is both not strong and patient and vice versa.
If someone is both humble and not humble then someone is either generous or calm.
If fred is strong then someone is both creative and wise.
Everyone who is brave i... | Susan is not wise. | entailment | (![X]:(~creative(X)<=>(~tall(X)<~>~kind(X))))&
(![X]:((funny(X)|~wise(X))<=>(~strong(X)&patient(X))))&
((?[X]:((humble(X)&~humble(X))))=>(?[X]:((generous(X)<~>calm(X)))))&
((strong(fred))=>(?[X]:((creative(X)&wise(X)))))&
(![X]:(brave(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((creative(X)<~>~rich(X))=>~wise(X)))&
(![X]:(crea... | ~wise(susan) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9191828982123693317992239
% SZS output start Proof for 9191828982123693317992239
6. ! [X0] : ((creative(X0) <~> ~rich(X0)) => ~wise(X0)) [input p5]
19. creative(susan) & rich(susan) [input p18]
24. wise(susan) [input hypothesis]
30. ! [X0] : (~wise(X0) | (creative(X0) <=> ~rich(X0))) [enn... | 0 |
Everyone who is not calm is either not kind or not happy and vice versa. Everyone who is both humble and old is either not wise or not tall and vice versa. Everyone who is generous or not generous is both calm and curious and vice versa. Everyone who is either generous or not rich is both not quiet and kind. Everyone w... | Paul is tall. | neutral | (![X]:(~calm(X)<=>(~kind(X)<~>~happy(X))))&
(![X]:((humble(X)&old(X))<=>(~wise(X)<~>~tall(X))))&
(![X]:((generous(X)|~generous(X))<=>(calm(X)&curious(X))))&
(![X]:((generous(X)<~>~rich(X))=>(~quiet(X)&kind(X))))&
(![X]:((~happy(X)&~wise(X))<=>(brave(X)<~>~funny(X))))&
(![X]:((~strong(X)|calm(X))=>(~quiet(X)<~>~happy(X)... | tall(paul) | [] | null | 0 |
If susan is happy then someone is both not patient and patient.
Everyone who is not rich or not kind is not tall or tall and vice versa.
Everyone who is not humble or strong is both not happy and not curious and vice versa.
If paul is not old or funny then someone is not wise and vice versa.
Everyone who is not funny o... | Susan is patient. | neutral | ((happy(susan))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(~tall(X)|tall(X))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:(~kind(X))))&
((?... | patient(susan) | [] | null | 0 |
Everyone who is both not curious and not calm is not curious or not creative.
Everyone who is calm or kind is either not funny or not curious.
Everyone who is wise or not curious is both not funny and strong.
Everyone who is humble is not strong.
If john is not brave or rich then someone is both not patient and not tal... | Lucy is calm. | contradiction | (![X]:((~curious(X)&~calm(X))=>(~curious(X)|~creative(X))))&
(![X]:((calm(X)|kind(X))=>(~funny(X)<~>~curious(X))))&
(![X]:((wise(X)|~curious(X))=>(~funny(X)&strong(X))))&
(![X]:(humble(X)=>~strong(X)))&
(((~brave(john)|rich(john)))=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((~kind(X)|~curious(X)))))&... | calm(lucy) | [
"p1",
"p2",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8306395024251658508842186
% SZS output start Proof for 8306395024251658508842186
2. ! [X0] : ((kind(X0) | calm(X0)) => (~funny(X0) <~> ~curious(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0) & ~funny(X0))) [input p2]
11. ! [X0] : ((~happy(X0) & curious(X0)) <=> str... | 0 |
If susan is strong or not rich then someone is either funny or happy and vice versa.
If someone is not kind or rich then fred is either not quiet or creative.
Everyone who is both not calm and generous is both not happy and kind and vice versa.
Everyone who is either calm or rich is tall and vice versa.
If fred is eith... | Paul is tall. | entailment | (((strong(susan)|~rich(susan)))<=>(?[X]:((funny(X)<~>happy(X)))))&
((?[X]:((~kind(X)|rich(X))))=>((~quiet(fred)<~>creative(fred))))&
(![X]:((~calm(X)&generous(X))<=>(~happy(X)&kind(X))))&
(![X]:((calm(X)<~>rich(X))<=>tall(X)))&
(((curious(fred)<~>kind(fred)))<=>((rich(paul)&tall(paul))))&
(![X]:(~curious(X)=>(~calm(X)|... | tall(paul) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 87862623130079204465922
% SZS output start Proof for 87862623130079204465922
9. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> tall(X0)) [input p8]
12. ! [X0] : (~wise(X0) <=> ~funny(X0)) [input p11]
25. ~tall(paul) [input hypothesis]
54. ! [X0] : ((((wise(X0) | ~funny(X0)) & (~wise(X0) | funny(... | 0 |
Everyone who is not rich is strong and vice versa. If mary is either not old or quiet then alice is humble or strong and vice versa. If paul is either not funny or not old then someone is kind and vice versa. Everyone who is humble is kind or curious and vice versa. Everyone who is brave or generous is both humble and ... | Susan is not kind. | entailment | (![X]:(~rich(X)<=>strong(X)))&
(((~old(mary)<~>quiet(mary)))<=>((humble(alice)|strong(alice))))&
(((~funny(paul)<~>~old(paul)))<=>(?[X]:(kind(X))))&
(![X]:(humble(X)<=>(kind(X)|curious(X))))&
(![X]:((brave(X)|generous(X))<=>(humble(X)&~old(X))))&
(![X]:((rich(X)|generous(X))=>(generous(X)&quiet(X))))&
(((calm(susan)<~>... | ~kind(susan) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5428471106676354711852520
% SZS output start Proof for 5428471106676354711852520
1. ! [X0] : (~rich(X0) <=> strong(X0)) [input p0]
3. (~funny(paul) <~> ~old(paul)) <=> ? [X0] : kind(X0) [input p2]
5. ! [X0] : ((generous(X0) | brave(X0)) <=> (~old(X0) & humble(X0))) [input p4]
6. ! [X0] : ... | 0 |
If someone is either brave or not brave then john is old or not old and vice versa. If fred is patient or not calm then alice is not rich or not quiet and vice versa. Everyone who is both quiet and humble is either patient or quiet and vice versa. Everyone who is not quiet is either not humble or not creative and vice ... | Mary is not tall. | neutral | ((?[X]:((brave(X)<~>~brave(X))))<=>((old(john)|~old(john))))&
(((patient(fred)|~calm(fred)))<=>((~rich(alice)|~quiet(alice))))&
(![X]:((quiet(X)&humble(X))<=>(patient(X)<~>quiet(X))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~creative(X))))&
(![X]:((~tall(X)<~>calm(X))=>~happy(X)))&
(![X]:(generous(X)<=>funny(X)))&
(![X]:((~q... | ~tall(mary) | [] | null | 0 |
Everyone who is creative or not kind is not old and vice versa.
If john is both creative and not humble then someone is not strong and vice versa.
If paul is quiet or tall then lucy is tall and vice versa.
Everyone who is curious or not tall is strong or generous and vice versa.
If someone is not kind or rich then lucy... | Paul is old. | neutral | (![X]:((creative(X)|~kind(X))<=>~old(X)))&
(((creative(john)&~humble(john)))<=>(?[X]:(~strong(X))))&
(((quiet(paul)|tall(paul)))<=>(tall(lucy)))&
(![X]:((curious(X)|~tall(X))<=>(strong(X)|generous(X))))&
((?[X]:((~kind(X)|rich(X))))<=>((strong(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~strong(X))<=>(~funny(X)<~>strong(X)))... | old(paul) | [] | null | 0 |
Everyone who is either not strong or humble is wise and vice versa.
Everyone who is not patient or not curious is either curious or not patient and vice versa.
Everyone who is humble or brave is not generous or generous and vice versa.
Everyone who is both kind and quiet is calm.
If someone is either humble or not old ... | Mary is not calm. | contradiction | (![X]:((~strong(X)<~>humble(X))<=>wise(X)))&
(![X]:((~patient(X)|~curious(X))<=>(curious(X)<~>~patient(X))))&
(![X]:((humble(X)|brave(X))<=>(~generous(X)|generous(X))))&
(![X]:((kind(X)&quiet(X))=>calm(X)))&
((?[X]:((humble(X)<~>~old(X))))=>((~rich(susan)&~wise(susan))))&
(![X]:((happy(X)<~>~funny(X))=>~wise(X)))&
((ta... | ~calm(mary) | [
"p1",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6691840482915455558419984
% SZS output start Proof for 6691840482915455558419984
2. ! [X0] : ((~curious(X0) | ~patient(X0)) <=> (curious(X0) <~> ~patient(X0))) [input p1]
12. ! [X0] : (patient(X0) <=> (old(X0) <~> ~calm(X0))) [input p11]
14. ! [X0] : ((~curious(X0) & generous(X0)) <=> (ol... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | Fred is not kind. | contradiction | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | ~kind(fred) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7456398066790386794924086
% SZS output start Proof for 7456398066790386794924086
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => brave(X0)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~wise(X0) & generous(X0))) [input p2... | 0 |
Everyone who is both not calm and not happy is either old or not curious.
Everyone who is not strong or quiet is both funny and humble and vice versa.
If john is happy then someone is both not brave and not old and vice versa.
If lucy is either humble or kind then someone is not kind.
If someone is both not rich and hu... | Paul is not kind. | contradiction | (![X]:((~calm(X)&~happy(X))=>(old(X)<~>~curious(X))))&
(![X]:((~strong(X)|quiet(X))<=>(funny(X)&humble(X))))&
((happy(john))<=>(?[X]:((~brave(X)&~old(X)))))&
(((humble(lucy)<~>kind(lucy)))=>(?[X]:(~kind(X))))&
((?[X]:((~rich(X)&humble(X))))=>((~calm(paul)&~tall(paul))))&
(![X]:((funny(X)&wise(X))<=>(~funny(X)&~curious(... | ~kind(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4245384339415455063653743
% SZS output start Proof for 4245384339415455063653743
16. (kind(paul) & ~creative(paul)) <=> (calm(fred) | ~calm(fred)) [input p15]
25. ~kind(paul) [input hypothesis]
63. ((kind(paul) & ~creative(paul)) | (~calm(fred) & calm(fred))) & ((calm(fred) | ~calm(fred))... | 0 |
If fred is quiet or not quiet then paul is either brave or not patient and vice versa. Everyone who is happy is both curious and quiet and vice versa. If mary is curious or old then alice is not happy and vice versa. Everyone who is either not curious or creative is curious. If paul is not kind or quiet then fred is ei... | Mary is creative. | contradiction | (((quiet(fred)|~quiet(fred)))<=>((brave(paul)<~>~patient(paul))))&
(![X]:(happy(X)<=>(curious(X)&quiet(X))))&
(((curious(mary)|old(mary)))<=>(~happy(alice)))&
(![X]:((~curious(X)<~>creative(X))=>curious(X)))&
(((~kind(paul)|quiet(paul)))=>((brave(fred)<~>~quiet(fred))))&
(![X]:((~happy(X)<~>wise(X))<=>(calm(X)&old(X)))... | creative(mary) | [
"p5",
"p7",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3955839361731022594562114
% SZS output start Proof for 3955839361731022594562114
6. ! [X0] : ((~happy(X0) <~> wise(X0)) <=> (old(X0) & calm(X0))) [input p5]
8. ! [X0] : (kind(X0) => (wise(X0) & tall(X0))) [input p7]
12. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~happy(X0)) [input p11]
14. ! ... | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Mary is wise. | contradiction | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | wise(mary) | [
"p1",
"p3",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6795318472712327434211446
% SZS output start Proof for 6795318472712327434211446
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
4. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~creative(X0) & ~wise(X0))) [input p3]
7. ! [X0] : ((~kind(X0) | ~curious(X0)) => (~f... | 0 |
Everyone who is not calm or calm is both calm and not old and vice versa. If someone is both brave and not quiet then alice is not generous or patient and vice versa. Everyone who is both strong and rich is both happy and not kind. If someone is both kind and quiet then john is happy or not funny. Everyone who is eithe... | Mary is not kind. | entailment | (![X]:((~calm(X)|calm(X))<=>(calm(X)&~old(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>((~generous(alice)|patient(alice))))&
(![X]:((strong(X)&rich(X))=>(happy(X)&~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>((happy(john)|~funny(john))))&
(![X]:((humble(X)<~>~strong(X))=>(~happy(X)<~>happy(X))))&
(![X]:((brave(X)|curious(X))=... | ~kind(mary) | [
"p0",
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3537614265400373665367685
% SZS output start Proof for 3537614265400373665367685
1. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (~old(X0) & calm(X0))) [input p0]
6. ! [X0] : ((curious(X0) | brave(X0)) => wise(X0)) [input p5]
9. ! [X0] : ((wise(X0) | rich(X0)) <=> quiet(X0)) [input p8]
11. ! [X0]... | 0 |
If someone is kind then someone is either not patient or generous and vice versa.
If someone is either not creative or not rich then someone is happy and vice versa.
If alice is not strong then someone is either not generous or calm and vice versa.
If someone is either not wise or not patient then someone is not calm a... | John is patient. | entailment | ((?[X]:(kind(X)))<=>(?[X]:((~patient(X)<~>generous(X)))))&
((?[X]:((~creative(X)<~>~rich(X))))<=>(?[X]:(happy(X))))&
((~strong(alice))<=>(?[X]:((~generous(X)<~>calm(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((creative(X)<~>humble(X))))=>((kind(mary)&funny(mary))))&
(![X]:((brave(X)|~patien... | patient(john) | [
"p4",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 911413115023779771483339
% SZS output start Proof for 911413115023779771483339
5. ? [X0] : (creative(X0) <~> humble(X0)) => (funny(mary) & kind(mary)) [input p4]
6. ! [X0] : ((~patient(X0) | brave(X0)) => (~humble(X0) & ~strong(X0))) [input p5]
7. ! [X0] : (~creative(X0) => (humble(X0) & ... | 0 |
If paul is not brave then paul is both not calm and not happy.
Everyone who is funny or old is quiet.
Everyone who is both not happy and not creative is both not old and not calm and vice versa.
Everyone who is either not humble or not curious is not quiet.
Everyone who is not generous is both not wise and rich and vic... | Susan is not patient. | entailment | ((~brave(paul))=>((~calm(paul)&~happy(paul))))&
(![X]:((funny(X)|old(X))=>quiet(X)))&
(![X]:((~happy(X)&~creative(X))<=>(~old(X)&~calm(X))))&
(![X]:((~humble(X)<~>~curious(X))=>~quiet(X)))&
(![X]:(~generous(X)<=>(~wise(X)&rich(X))))&
((?[X]:(~humble(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)|~funny(X))=>(~tall(X)<~>... | ~patient(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5886896243380775134117866
% SZS output start Proof for 5886896243380775134117866
12. ! [X0] : ((~strong(X0) | strong(X0)) <=> ~patient(X0)) [input p11]
24. patient(susan) [input hypothesis]
27. ! [X0] : ((~strong(X0) | strong(X0)) => ~patient(X0)) [unused predicate definition removal 12]
... | 0 |
If john is both not quiet and not funny then someone is either not curious or calm and vice versa. Everyone who is quiet or not tall is either not curious or calm and vice versa. If someone is both funny and not patient then alice is not rich or not kind and vice versa. If someone is not brave or brave then fred is eit... | Alice is not kind. | contradiction | (((~quiet(john)&~funny(john)))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((quiet(X)|~tall(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((~rich(alice)|~kind(alice))))&
((?[X]:((~brave(X)|brave(X))))=>((old(fred)<~>~curious(fred))))&
((?[X]:(wise(X)))=>((~curious(alice)&~wise(alice))))&
(![X]:((~t... | ~kind(alice) | [
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1151247975415524666829163
% SZS output start Proof for 1151247975415524666829163
5. ? [X0] : wise(X0) => (~wise(alice) & ~curious(alice)) [input p4]
16. ? [X0] : (~kind(X0) | generous(X0)) <=> (wise(alice) & creative(alice)) [input p15]
21. ? [X0] : (wise(X0) & ~quiet(X0)) [input p20]
24.... | 0 |
If someone is either humble or not kind then lucy is strong.
Everyone who is both humble and not calm is either not rich or calm.
If someone is quiet then paul is not tall or not old and vice versa.
Everyone who is not calm or not kind is creative or patient and vice versa.
Everyone who is calm is humble or not generou... | John is happy. | neutral | ((?[X]:((humble(X)<~>~kind(X))))=>(strong(lucy)))&
(![X]:((humble(X)&~calm(X))=>(~rich(X)<~>calm(X))))&
((?[X]:(quiet(X)))<=>((~tall(paul)|~old(paul))))&
(![X]:((~calm(X)|~kind(X))<=>(creative(X)|patient(X))))&
(![X]:(calm(X)=>(humble(X)|~generous(X))))&
(![X]:((~happy(X)|~old(X))=>(~kind(X)&~happy(X))))&
(![X]:((brave... | happy(john) | [] | null | 0 |
If someone is not curious then fred is rich.
If someone is either strong or not funny then john is both not curious and not humble.
If mary is quiet or not brave then fred is either kind or not quiet.
If someone is either patient or not wise then mary is both wise and patient and vice versa.
Everyone who is either rich... | Alice is generous. | entailment | ((?[X]:(~curious(X)))=>(rich(fred)))&
((?[X]:((strong(X)<~>~funny(X))))=>((~curious(john)&~humble(john))))&
(((quiet(mary)|~brave(mary)))=>((kind(fred)<~>~quiet(fred))))&
((?[X]:((patient(X)<~>~wise(X))))<=>((wise(mary)&patient(mary))))&
(![X]:((rich(X)<~>~patient(X))<=>(~rich(X)<~>generous(X))))&
((?[X]:((rich(X)<~>ca... | generous(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6546316418240298118372483
% SZS output start Proof for 6546316418240298118372483
19. ~happy(alice) & generous(alice) [input p18]
24. ~generous(alice) [input hypothesis]
124. generous(alice) [cnf transformation 19]
131. ~generous(alice) [cnf transformation 24]
342. $false [subsumption reso... | 0 |
If mary is both patient and creative then someone is old or curious.
Everyone who is not funny is both creative and not creative.
If someone is kind then someone is not kind or curious.
Everyone who is both not wise and quiet is both not quiet and not rich.
Everyone who is not rich or not happy is not happy or tall.
Ev... | Fred is generous. | neutral | (((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X))))&
(![X]:((generous(X)|kind(X))=>(~kind(X)&creative(X... | generous(fred) | [] | null | 0 |
Everyone who is not wise is strong or not quiet and vice versa.
Everyone who is both happy and not calm is not funny or strong.
If alice is not creative or old then paul is patient and vice versa.
Everyone who is either not generous or creative is not strong and vice versa.
If alice is not brave then someone is either ... | Alice is not strong. | neutral | (![X]:(~wise(X)<=>(strong(X)|~quiet(X))))&
(![X]:((happy(X)&~calm(X))=>(~funny(X)|strong(X))))&
(((~creative(alice)|old(alice)))<=>(patient(paul)))&
(![X]:((~generous(X)<~>creative(X))<=>~strong(X)))&
((~brave(alice))=>(?[X]:((calm(X)<~>~patient(X)))))&
(![X]:((~creative(X)|rich(X))=>(~humble(X)|quiet(X))))&
(![X]:(fun... | ~strong(alice) | [] | null | 0 |
Everyone who is not tall is either not patient or brave and vice versa.
Everyone who is either old or not rich is creative or not wise.
If someone is either not kind or curious then susan is wise and vice versa.
If someone is kind then fred is either not old or rich.
Everyone who is generous or not patient is both funn... | Alice is wise. | entailment | (![X]:(~tall(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((old(X)<~>~rich(X))=>(creative(X)|~wise(X))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(wise(susan)))&
((?[X]:(kind(X)))=>((~old(fred)<~>rich(fred))))&
(![X]:((generous(X)|~patient(X))=>(funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(calm(X)<~>generous(X))))&... | wise(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8888505013266780062556869
% SZS output start Proof for 8888505013266780062556869
7. ? [X0] : (happy(X0) & ~happy(X0)) <=> ? [X0] : ~wise(X0) [input p6]
22. ~wise(alice) [input hypothesis]
23. ? [X0] : (happy(X0) & ~happy(X0)) <=> ? [X1] : ~wise(X1) [rectify 7]
43. (? [X0] : (happy(X0) & ~... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Lucy is not generous. | entailment | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~generous(lucy) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8609069752220585990309158
% SZS output start Proof for 8609069752220585990309158
9. ? [X0] : (generous(X0) | calm(X0)) => ? [X0] : ~old(X0) [input p8]
16. ! [X0] : ((~old(X0) <~> ~generous(X0)) <=> ~generous(X0)) [input p15]
24. generous(lucy) [input hypothesis]
27. ? [X0] : (generous(X0)... | 0 |
If susan is strong then fred is not humble.
Everyone who is generous or not quiet is humble or curious and vice versa.
Everyone who is either old or not humble is not quiet or not kind and vice versa.
Everyone who is happy or rich is either wise or patient.
If fred is brave or not quiet then someone is calm.
If someone... | Susan is not old. | contradiction | ((strong(susan))=>(~humble(fred)))&
(![X]:((generous(X)|~quiet(X))<=>(humble(X)|curious(X))))&
(![X]:((old(X)<~>~humble(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((happy(X)|rich(X))=>(wise(X)<~>patient(X))))&
(((brave(fred)|~quiet(fred)))=>(?[X]:(calm(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>((curious(mary)&~quiet(mary))))&
... | ~old(susan) | [
"p1",
"p2",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4622116138932607481243286
% SZS output start Proof for 4622116138932607481243286
2. ! [X0] : ((~quiet(X0) | generous(X0)) <=> (curious(X0) | humble(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~humble(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p2]
10. ! [X0] : ((humble(X0) <~> ~quiet(X0)) =>... | 0 |
Everyone who is creative or brave is not wise or patient.
Everyone who is either humble or not strong is either not patient or wise and vice versa.
If someone is old or kind then alice is brave or kind.
If lucy is either kind or rich then john is not calm or not rich and vice versa.
If someone is not kind then fred is ... | Alice is not happy. | contradiction | (![X]:((creative(X)|brave(X))=>(~wise(X)|patient(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~patient(X)<~>wise(X))))&
((?[X]:((old(X)|kind(X))))=>((brave(alice)|kind(alice))))&
(((kind(lucy)<~>rich(lucy)))<=>((~calm(john)|~rich(john))))&
((?[X]:(~kind(X)))<=>((~generous(fred)&humble(fred))))&
(((calm(alice)|~funny(alice... | ~happy(alice) | [
"p2",
"p6",
"p10",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6246623856268024841205974
% SZS output start Proof for 6246623856268024841205974
3. ? [X0] : (kind(X0) | old(X0)) => (kind(alice) | brave(alice)) [input p2]
7. ! [X0] : ((creative(X0) & ~wise(X0)) <=> (~happy(X0) & brave(X0))) [input p6]
11. ! [X0] : (humble(X0) <=> (curious(X0) & funny(X... | 0 |
Everyone who is both not happy and old is strong.
Everyone who is either brave or not quiet is either not quiet or happy and vice versa.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both h... | Lucy is not kind. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((brave(X)<~>~quiet(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~generous(a... | ~kind(lucy) | [
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 152364605842936885390307
% SZS output start Proof for 152364605842936885390307
13. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [input p12]
14. (humble(mary) | ~humble(mary)) => (rich(lucy) <~> kind(lucy)) [input p13]
23. patient(lucy) [input p22]
25. ~kind(lucy) [input... | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Mary is not humble. | entailment | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | ~humble(mary) | [
"p0",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 587514121597361814195513
% SZS output start Proof for 587514121597361814195513
1. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~generous(X0) & ~brave(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> wise(X0)) [input p6]... | 0 |
If fred is either not tall or not kind then paul is creative or brave and vice versa.
Everyone who is not curious or funny is both brave and not strong and vice versa.
Everyone who is humble or not strong is funny and vice versa.
Everyone who is generous is not old or quiet and vice versa.
If someone is not humble then... | Fred is calm. | entailment | (((~tall(fred)<~>~kind(fred)))<=>((creative(paul)|brave(paul))))&
(![X]:((~curious(X)|funny(X))<=>(brave(X)&~strong(X))))&
(![X]:((humble(X)|~strong(X))<=>funny(X)))&
(![X]:(generous(X)<=>(~old(X)|quiet(X))))&
((?[X]:(~humble(X)))=>((~funny(john)<~>funny(john))))&
(![X]:(wise(X)=>~happy(X)))&
(![X]:((wise(X)&funny(X))<... | calm(fred) | [
"p1",
"p2",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3106196695312826361215247
% SZS output start Proof for 3106196695312826361215247
2. ! [X0] : ((funny(X0) | ~curious(X0)) <=> (~strong(X0) & brave(X0))) [input p1]
3. ! [X0] : ((~strong(X0) | humble(X0)) <=> funny(X0)) [input p2]
8. ? [X0] : (~calm(X0) | curious(X0)) => strong(mary) [input... | 0 |
Everyone who is either tall or old is quiet and vice versa.
Everyone who is not creative is funny.
If mary is humble then someone is happy and vice versa.
Everyone who is old or tall is happy.
If someone is curious or generous then fred is either not happy or kind.
If lucy is either not kind or brave then someone is bo... | John is not creative. | contradiction | (![X]:((tall(X)<~>old(X))<=>quiet(X)))&
(![X]:(~creative(X)=>funny(X)))&
((humble(mary))<=>(?[X]:(happy(X))))&
(![X]:((old(X)|tall(X))=>happy(X)))&
((?[X]:((curious(X)|generous(X))))=>((~happy(fred)<~>kind(fred))))&
(((~kind(lucy)<~>brave(lucy)))=>(?[X]:((patient(X)&~humble(X)))))&
(![X]:((~brave(X)<~>generous(X))=>(ol... | ~creative(john) | [
"p1",
"p3",
"p4",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7565588034692429412677283
% SZS output start Proof for 7565588034692429412677283
2. ! [X0] : (~creative(X0) => funny(X0)) [input p1]
4. ! [X0] : ((tall(X0) | old(X0)) => happy(X0)) [input p3]
5. ? [X0] : (generous(X0) | curious(X0)) => (~happy(fred) <~> kind(fred)) [input p4]
14. ! [X0] :... | 0 |
If someone is either not humble or not quiet then someone is either funny or not rich.
Everyone who is both tall and not tall is either funny or not creative.
Everyone who is both brave and not quiet is funny.
If someone is either rich or not quiet then someone is not quiet or not brave.
If someone is not calm or not h... | Susan is not strong. | entailment | ((?[X]:((~humble(X)<~>~quiet(X))))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((tall(X)&~tall(X))=>(funny(X)<~>~creative(X))))&
(![X]:((brave(X)&~quiet(X))=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(?[X]:((~quiet(X)|~brave(X)))))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|strong(X))=>(~crea... | ~strong(susan) | [
"p5",
"p8",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4162791779457099534356964
% SZS output start Proof for 4162791779457099534356964
6. ! [X0] : ((strong(X0) | ~calm(X0)) => (patient(X0) & ~creative(X0))) [input p5]
9. ! [X0] : ((wise(X0) | curious(X0)) <=> (generous(X0) & strong(X0))) [input p8]
14. ! [X0] : (~generous(X0) <=> (patient(X0... | 0 |
If fred is not generous or kind then alice is funny or not brave. If someone is either patient or not patient then lucy is creative and vice versa. Everyone who is both happy and not brave is either not wise or strong and vice versa. If fred is rich or not generous then paul is not curious or tall. If someone is either... | Paul is not patient. | neutral | (((~generous(fred)|kind(fred)))=>((funny(alice)|~brave(alice))))&
((?[X]:((patient(X)<~>~patient(X))))<=>(creative(lucy)))&
(![X]:((happy(X)&~brave(X))<=>(~wise(X)<~>strong(X))))&
(((rich(fred)|~generous(fred)))=>((~curious(paul)|tall(paul))))&
((?[X]:((~rich(X)<~>quiet(X))))<=>((~generous(paul)<~>~quiet(paul))))&
(((~... | ~patient(paul) | [] | null | 0 |
Everyone who is happy is wise or not strong and vice versa.
Everyone who is not patient is either calm or strong.
Everyone who is either not rich or not funny is both funny and not generous.
If someone is old then john is both not funny and not quiet.
If someone is rich or not curious then someone is both quiet and not... | John is funny. | neutral | (![X]:(happy(X)<=>(wise(X)|~strong(X))))&
(![X]:(~patient(X)=>(calm(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(funny(X)&~generous(X))))&
((?[X]:(old(X)))=>((~funny(john)&~quiet(john))))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((patient(X)|~creative(X))))=>((~wise(fred)&~brave(... | funny(john) | [] | null | 0 |
Everyone who is both curious and wise is both old and not rich and vice versa. If someone is both not calm and generous then john is humble and vice versa. Everyone who is not funny or funny is tall or kind and vice versa. If someone is not humble or funny then lucy is either not rich or tall. Everyone who is either qu... | Susan is not old. | contradiction | (![X]:((curious(X)&wise(X))<=>(old(X)&~rich(X))))&
((?[X]:((~calm(X)&generous(X))))<=>(humble(john)))&
(![X]:((~funny(X)|funny(X))<=>(tall(X)|kind(X))))&
((?[X]:((~humble(X)|funny(X))))=>((~rich(lucy)<~>tall(lucy))))&
(![X]:((quiet(X)<~>~quiet(X))=>(calm(X)&generous(X))))&
((?[X]:((happy(X)&~creative(X))))<=>(~funny(al... | ~old(susan) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4867707322577352929505045
% SZS output start Proof for 4867707322577352929505045
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (generous(X0) & calm(X0))) [input p4]
11. ! [X0] : ((creative(X0) & old(X0)) <=> calm(X0)) [input p10]
24. ~old(susan) [input hypothesis]
26. ! [X0] : ((generous(X0)... | 0 |
If john is either not creative or kind then alice is either generous or patient and vice versa.
Everyone who is either kind or not funny is either wise or not strong and vice versa.
Everyone who is kind or old is either not wise or not patient.
Everyone who is not rich is not curious and vice versa.
If susan is either ... | Fred is not generous. | neutral | (((~creative(john)<~>kind(john)))<=>((generous(alice)<~>patient(alice))))&
(![X]:((kind(X)<~>~funny(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((kind(X)|old(X))=>(~wise(X)<~>~patient(X))))&
(![X]:(~rich(X)<=>~curious(X)))&
(((generous(susan)<~>creative(susan)))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:(~calm(X)<=>(~calm(X)|... | ~generous(fred) | [] | null | 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 not generous. | entailment | (![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 7094318092711013168244941
% SZS output start Proof for 7094318092711013168244941
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 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Lucy is not rich. | entailment | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | ~rich(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 65452725602047495940324
% SZS output start Proof for 65452725602047495940324
3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2]
6. ! [X0] : (calm(X0) <=> (~funny(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((humble(X0) | patient(X0)) => (funny(X0) <~> humble(X0))... | 0 |
If fred is not patient then paul is calm or not kind and vice versa. If mary is rich then susan is tall or not calm. Everyone who is not funny is either not tall or rich and vice versa. Everyone who is not creative or not funny is not curious and vice versa. Everyone who is either brave or not curious is either not tal... | Susan is not old. | contradiction | ((~patient(fred))<=>((calm(paul)|~kind(paul))))&
((rich(mary))=>((tall(susan)|~calm(susan))))&
(![X]:(~funny(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((~creative(X)|~funny(X))<=>~curious(X)))&
(![X]:((brave(X)<~>~curious(X))<=>(~tall(X)<~>rich(X))))&
((?[X]:(strong(X)))=>((~strong(mary)&calm(mary))))&
(((~happy(alice)|wise(a... | ~old(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7266969558719725076686001
% SZS output start Proof for 7266969558719725076686001
16. ! [X0] : ((~brave(X0) | brave(X0)) <=> (kind(X0) & old(X0))) [input p15]
25. ~old(susan) [input hypothesis]
62. ! [X0] : (((~brave(X0) | brave(X0)) | (~kind(X0) | ~old(X0))) & ((kind(X0) & old(X0)) | (bra... | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa.
Everyone who is generous or not kind is both not wise and brave and vice versa.
Everyone who is generous is both not funny and not rich and vice versa.
If susan is brave or quiet then paul is not patient or kind.
If someone... | Susan is happy. | neutral | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((generous(X)|~kind(X))<=>(~wise(X)&brave(X))))&
(![X]:(generous(X)<=>(~funny(X)&~rich(X))))&
(((brave(susan)|quiet(susan)))=>((~patient(paul)|kind(paul))))&
((?[X]:((~rich(X)<~>~generous(X))))=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X)... | happy(susan) | [] | null | 0 |
Everyone who is both not humble and not creative is both strong and rich and vice versa.
If someone is either not curious or curious then john is either strong or patient and vice versa.
Everyone who is not happy or not kind is not old and vice versa.
Everyone who is either happy or not curious is old and vice versa.
E... | Fred is not curious. | neutral | (![X]:((~humble(X)&~creative(X))<=>(strong(X)&rich(X))))&
((?[X]:((~curious(X)<~>curious(X))))<=>((strong(john)<~>patient(john))))&
(![X]:((~happy(X)|~kind(X))<=>~old(X)))&
(![X]:((happy(X)<~>~curious(X))<=>old(X)))&
(![X]:(kind(X)=>(~wise(X)<~>~funny(X))))&
(![X]:((~quiet(X)&wise(X))<=>(~brave(X)&~wise(X))))&
(((~pati... | ~curious(fred) | [] | null | 0 |
If someone is funny then mary is not quiet.
Everyone who is either happy or patient is either not wise or kind and vice versa.
Everyone who is funny or not curious is not wise.
If someone is both patient and brave then lucy is not brave or not curious and vice versa.
If someone is not old then fred is either wise or ri... | Lucy is brave. | neutral | ((?[X]:(funny(X)))=>(~quiet(mary)))&
(![X]:((happy(X)<~>patient(X))<=>(~wise(X)<~>kind(X))))&
(![X]:((funny(X)|~curious(X))=>~wise(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~brave(lucy)|~curious(lucy))))&
((?[X]:(~old(X)))<=>((wise(fred)<~>rich(fred))))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:((~humble(X)&brave(X))))... | brave(lucy) | [] | null | 0 |
Everyone who is not tall or not quiet is both not strong and generous and vice versa.
If someone is kind then john is either tall or not patient.
If someone is calm then someone is not rich or not creative.
Everyone who is not kind is either not patient or creative.
If alice is either not wise or not patient then susan... | Susan is tall. | entailment | (![X]:((~tall(X)|~quiet(X))<=>(~strong(X)&generous(X))))&
((?[X]:(kind(X)))=>((tall(john)<~>~patient(john))))&
((?[X]:(calm(X)))=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>creative(X))))&
(((~wise(alice)<~>~patient(alice)))=>((patient(susan)|generous(susan))))&
(((~old(paul)|humble(paul)))=>((~... | tall(susan) | [
"p0",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 279907315100834048160935
% SZS output start Proof for 279907315100834048160935
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (generous(X0) & ~strong(X0))) [input p0]
9. ! [X0] : (~generous(X0) <=> ~rich(X0)) [input p8]
13. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~happy(X0) <~> rich(X0))) [i... | 0 |
If fred is both kind and curious then someone is happy or not generous.
If lucy is both not patient and happy then someone is both not brave and not generous.
Everyone who is not generous or old is not curious and vice versa.
Everyone who is tall or not happy is both quiet and brave and vice versa.
If john is not rich ... | Paul is not calm. | entailment | (((kind(fred)&curious(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
(((~patient(lucy)&happy(lucy)))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((~generous(X)|old(X))<=>~curious(X)))&
(![X]:((tall(X)|~happy(X))<=>(quiet(X)&brave(X))))&
(((~rich(john)|~kind(john)))=>((tall(fred)<~>old(fred))))&
(![X]:((~strong(X)|calm(X))=... | ~calm(paul) | [
"p2",
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6931054114905977856911488
% SZS output start Proof for 6931054114905977856911488
3. ! [X0] : ((old(X0) | ~generous(X0)) <=> ~curious(X0)) [input p2]
6. ! [X0] : ((calm(X0) | ~strong(X0)) => (~creative(X0) & tall(X0))) [input p5]
11. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (humble(X0) <~>... | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and brave is not rich or not creative. Everyone who is both not creative and not brave is either wise or strong and vice versa. Everyone who is both not calm and calm is both patient and tall. If someone is not curious then lucy... | Alice is generous. | neutral | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&brave(X))=>(~rich(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(wise(X)<~>strong(X))))&
(![X]:((~calm(X)&calm(X))=>(patient(X)&tall(X))))&
((?[X]:(~curious(X)))<=>(~curious(lucy)))&
(![X]:((~rich(X)&~brave(X))=>(funny(X)&happy(X))))&
... | generous(alice) | [] | null | 0 |
Everyone who is either old or brave is both not calm and not tall and vice versa.
If someone is either not old or humble then alice is patient or not humble and vice versa.
Everyone who is either calm or funny is not creative and vice versa.
Everyone who is generous or not tall is not generous and vice versa.
If someon... | Lucy is generous. | contradiction | (![X]:((old(X)<~>brave(X))<=>(~calm(X)&~tall(X))))&
((?[X]:((~old(X)<~>humble(X))))<=>((patient(alice)|~humble(alice))))&
(![X]:((calm(X)<~>funny(X))<=>~creative(X)))&
(![X]:((generous(X)|~tall(X))<=>~generous(X)))&
((?[X]:((generous(X)&~creative(X))))<=>(?[X]:(~quiet(X))))&
(((generous(john)|wise(john)))<=>(?[X]:(rich... | generous(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8593538358459508780552121
% SZS output start Proof for 8593538358459508780552121
4. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p3]
24. generous(lucy) [input hypothesis]
40. ! [X0] : (((~tall(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (tall(X0) & ~generous(X... | 0 |
If someone is both not happy and not patient then someone is funny or curious.
If fred is both creative and funny then paul is happy or curious and vice versa.
Everyone who is either curious or not curious is rich.
If alice is patient then fred is both kind and not wise and vice versa.
If susan is either not happy or n... | John is not humble. | neutral | ((?[X]:((~happy(X)&~patient(X))))=>(?[X]:((funny(X)|curious(X)))))&
(((creative(fred)&funny(fred)))<=>((happy(paul)|curious(paul))))&
(![X]:((curious(X)<~>~curious(X))=>rich(X)))&
((patient(alice))<=>((kind(fred)&~wise(fred))))&
(((~happy(susan)<~>~generous(susan)))<=>(?[X]:((~quiet(X)|funny(X)))))&
(![X]:(~kind(X)<=>(... | ~humble(john) | [] | null | 0 |
Everyone who is either old or not curious is either curious or brave and vice versa.
If paul is both not patient and not calm then fred is either not wise or rich.
If alice is either not rich or rich then fred is both not curious and not strong and vice versa.
Everyone who is either not happy or funny is strong and vic... | Alice is not wise. | neutral | (![X]:((old(X)<~>~curious(X))<=>(curious(X)<~>brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~patient(X))))&
(![X]:((~brave(X)<~>patient(... | ~wise(alice) | [] | null | 0 |
Everyone who is not tall is not humble or tall and vice versa.
If someone is kind then someone is either not humble or not generous and vice versa.
Everyone who is not creative is calm and vice versa.
If susan is both generous and calm then susan is either not kind or not strong.
Everyone who is both not brave and stro... | Mary is strong. | entailment | (![X]:(~tall(X)<=>(~humble(X)|tall(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
(![X]:(~creative(X)<=>calm(X)))&
(((generous(susan)&calm(susan)))=>((~kind(susan)<~>~strong(susan))))&
(![X]:((~brave(X)&strong(X))<=>(~patient(X)&wise(X))))&
(![X]:(patient(X)=>~patient(X)))&
(![X]:((kind(X)&tall(X))=>... | strong(mary) | [
"p0",
"p4",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2638725072983378599589237
% SZS output start Proof for 2638725072983378599589237
1. ! [X0] : (~tall(X0) <=> (tall(X0) | ~humble(X0))) [input p0]
5. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (wise(X0) & ~patient(X0))) [input p4]
6. ! [X0] : (patient(X0) => ~patient(X0)) [input p5]
20. ~tall(... | 0 |
If paul is not quiet then someone is funny.
Everyone who is patient is not generous.
Everyone who is either curious or not happy is calm and vice versa.
Everyone who is humble is either not funny or not strong and vice versa.
Everyone who is not brave is both generous and wise and vice versa.
If susan is not old or not... | Paul is calm. | entailment | ((~quiet(paul))=>(?[X]:(funny(X))))&
(![X]:(patient(X)=>~generous(X)))&
(![X]:((curious(X)<~>~happy(X))<=>calm(X)))&
(![X]:(humble(X)<=>(~funny(X)<~>~strong(X))))&
(![X]:(~brave(X)<=>(generous(X)&wise(X))))&
(((~old(susan)|~calm(susan)))<=>((brave(fred)&strong(fred))))&
((patient(alice))<=>(?[X]:((~creative(X)|kind(X))... | calm(paul) | [
"p2",
"p4",
"p10",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5806603741114149535577462
% SZS output start Proof for 5806603741114149535577462
3. ! [X0] : ((curious(X0) <~> ~happy(X0)) <=> calm(X0)) [input p2]
5. ! [X0] : (~brave(X0) <=> (wise(X0) & generous(X0))) [input p4]
11. ? [X0] : (humble(X0) | ~quiet(X0)) => (~wise(mary) | humble(mary)) [inp... | 0 |
Everyone who is funny is both not generous and not patient and vice versa.
Everyone who is not kind or funny is both patient and not old and vice versa.
If alice is either calm or not strong then paul is either not funny or not quiet and vice versa.
Everyone who is either not wise or not generous is either brave or not... | John is not brave. | neutral | (![X]:(funny(X)<=>(~generous(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(patient(X)&~old(X))))&
(((calm(alice)<~>~strong(alice)))<=>((~funny(paul)<~>~quiet(paul))))&
(![X]:((~wise(X)<~>~generous(X))=>(brave(X)<~>~quiet(X))))&
(![X]:((~wise(X)|~happy(X))<=>(quiet(X)&humble(X))))&
((?[X]:(~happy(X)))=>((~old(susan)<... | ~brave(john) | [] | null | 0 |
If someone is both not happy and not old then mary is not funny.
Everyone who is both rich and not humble is both old and not strong.
If alice is both quiet and rich then alice is not calm and vice versa.
If someone is not calm then someone is wise or calm.
Everyone who is old is not humble.
If someone is humble then s... | Mary is old. | contradiction | ((?[X]:((~happy(X)&~old(X))))=>(~funny(mary)))&
(![X]:((rich(X)&~humble(X))=>(old(X)&~strong(X))))&
(((quiet(alice)&rich(alice)))<=>(~calm(alice)))&
((?[X]:(~calm(X)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(old(X)=>~humble(X)))&
((?[X]:(humble(X)))<=>(?[X]:(~humble(X))))&
(![X]:(calm(X)=>(creative(X)|tall(X))))&
(((~wise... | old(mary) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 466555095205145433746549
% SZS output start Proof for 466555095205145433746549
13. ! [X0] : (funny(X0) => ~old(X0)) [input p12]
15. ! [X0] : ((funny(X0) <~> old(X0)) <=> (funny(X0) & ~tall(X0))) [input p14]
24. old(mary) [input hypothesis]
40. ! [X0] : (~old(X0) | ~funny(X0)) [ennf transf... | 0 |
Everyone who is not old is both brave and humble. If someone is not strong or not rich then fred is both not tall and not happy. Everyone who is tall or not strong is either patient or not old. If someone is not rich or not wise then someone is humble or not kind and vice versa. If fred is not humble then someone is ca... | Alice is funny. | contradiction | (![X]:(~old(X)=>(brave(X)&humble(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~tall(fred)&~happy(fred))))&
(![X]:((tall(X)|~strong(X))=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~brave(X))))&
(![X]:((~funny(X... | funny(alice) | [
"p6",
"p11",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 813097428206979909224849
% SZS output start Proof for 813097428206979909224849
7. ! [X0] : ((rich(X0) & ~funny(X0)) <=> wise(X0)) [input p6]
12. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> (wise(X0) & ~generous(X0))) [input p11]
17. curious(alice) & ~generous(alice) [input p16]
18. ~old(ali... | 0 |
Everyone who is either rich or patient is old or not funny.
If someone is not curious or not patient then someone is not humble or not happy and vice versa.
If someone is strong or happy then someone is either rich or strong and vice versa.
If susan is either tall or not funny then fred is both not creative and generou... | Lucy is happy. | entailment | (![X]:((rich(X)<~>patient(X))=>(old(X)|~funny(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>(?[X]:((~humble(X)|~happy(X)))))&
((?[X]:((strong(X)|happy(X))))<=>(?[X]:((rich(X)<~>strong(X)))))&
(((tall(susan)<~>~funny(susan)))=>((~creative(fred)&generous(fred))))&
(![X]:(happy(X)<=>(rich(X)|kind(X))))&
(![X]:((rich(X)<~>o... | happy(lucy) | [
"p4",
"p5",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 194970652361098139419860
% SZS output start Proof for 194970652361098139419860
5. ! [X0] : (happy(X0) <=> (kind(X0) | rich(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> old(X0)) => ~old(X0)) [input p5]
10. ! [X0] : ((brave(X0) | ~funny(X0)) <=> kind(X0)) [input p9]
12. ? [X0] : ~old(X0) => ... | 0 |
If mary is both generous and calm then susan is both wise and not calm.
Everyone who is calm or not generous is wise or creative and vice versa.
Everyone who is rich is not brave and vice versa.
Everyone who is funny or brave is tall or not generous.
If lucy is either generous or rich then fred is either not wise or no... | Mary is wise. | entailment | (((generous(mary)&calm(mary)))=>((wise(susan)&~calm(susan))))&
(![X]:((calm(X)|~generous(X))<=>(wise(X)|creative(X))))&
(![X]:(rich(X)<=>~brave(X)))&
(![X]:((funny(X)|brave(X))=>(tall(X)|~generous(X))))&
(((generous(lucy)<~>rich(lucy)))<=>((~wise(fred)<~>~rich(fred))))&
(![X]:(rich(X)=>~kind(X)))&
(![X]:(~funny(X)<=>(k... | wise(mary) | [
"p0",
"p1",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8876987528199932398564256
% SZS output start Proof for 8876987528199932398564256
1. (calm(mary) & generous(mary)) => (~calm(susan) & wise(susan)) [input p0]
2. ! [X0] : ((~generous(X0) | calm(X0)) <=> (creative(X0) | wise(X0))) [input p1]
7. ! [X0] : (~funny(X0) <=> (calm(X0) & kind(X0)))... | 0 |
Everyone who is both generous and wise is not funny or not generous and vice versa. If someone is either rich or humble then john is either not wise or not strong and vice versa. Everyone who is either not creative or strong is generous. If paul is both not patient and not curious then lucy is not happy. If fred is bot... | Paul is not old. | contradiction | (![X]:((generous(X)&wise(X))<=>(~funny(X)|~generous(X))))&
((?[X]:((rich(X)<~>humble(X))))<=>((~wise(john)<~>~strong(john))))&
(![X]:((~creative(X)<~>strong(X))=>generous(X)))&
(((~patient(paul)&~curious(paul)))=>(~happy(lucy)))&
(((kind(fred)&~funny(fred)))<=>(?[X]:(~humble(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>... | ~old(paul) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8997133636073489345817895
% SZS output start Proof for 8997133636073489345817895
1. ! [X0] : ((wise(X0) & generous(X0)) <=> (~generous(X0) | ~funny(X0))) [input p0]
10. ? [X0] : (~brave(X0) | ~old(X0)) <=> ? [X0] : ~generous(X0) [input p9]
22. ~old(paul) [input hypothesis]
24. ? [X0] : (~... | 0 |
Everyone who is kind or not wise is generous or not happy and vice versa.
Everyone who is generous is both kind and not tall.
If someone is not creative then someone is either not patient or brave and vice versa.
If someone is both tall and not tall then someone is both not happy and not curious.
If someone is not pati... | Alice is not brave. | entailment | (![X]:((kind(X)|~wise(X))<=>(generous(X)|~happy(X))))&
(![X]:(generous(X)=>(kind(X)&~tall(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
((?[X]:((tall(X)&~tall(X))))=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((~funny(X)&humble(X))<=>(wise(X)&~ri... | ~brave(alice) | [
"p1",
"p2",
"p8",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1399587322217199538815553
% SZS output start Proof for 1399587322217199538815553
2. ! [X0] : (generous(X0) => (~tall(X0) & kind(X0))) [input p1]
3. ? [X0] : ~creative(X0) <=> ? [X0] : (~patient(X0) <~> brave(X0)) [input p2]
9. ! [X0] : ((happy(X0) & creative(X0)) <=> (generous(X0) <~> ~cr... | 0 |
If john is either not curious or not rich then someone is not creative. Everyone who is both not tall and not generous is not rich and vice versa. Everyone who is wise is not rich. If susan is quiet or not curious then lucy is not old or humble. If someone is rich or creative then someone is not rich or not calm. If pa... | John is not creative. | entailment | (((~curious(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~cr... | ~creative(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5734157251836221625226062
% SZS output start Proof for 5734157251836221625226062
7. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (kind(X0) | strong(X0))) [input p6]
15. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> kind(X0)) [input p14]
25. creative(john) [input hypothesis]
50. ! [X0] : (((~ca... | 0 |
Everyone who is not happy is curious and vice versa.
Everyone who is either generous or not old is either tall or calm and vice versa.
If someone is creative then alice is generous or strong.
If john is either humble or funny then paul is both not rich and not calm.
If someone is both not patient and not happy then sus... | Lucy is tall. | neutral | (![X]:(~happy(X)<=>curious(X)))&
(![X]:((generous(X)<~>~old(X))<=>(tall(X)<~>calm(X))))&
((?[X]:(creative(X)))=>((generous(alice)|strong(alice))))&
(((humble(john)<~>funny(john)))=>((~rich(paul)&~calm(paul))))&
((?[X]:((~patient(X)&~happy(X))))=>((generous(susan)|~funny(susan))))&
(![X]:(~strong(X)<=>(~happy(X)&~calm(X... | tall(lucy) | [] | null | 0 |
If someone is not patient or generous then mary is not quiet or not humble. Everyone who is both wise and not happy is either old or not creative and vice versa. Everyone who is not quiet or not happy is both calm and creative. Everyone who is both patient and not generous is both quiet and not generous and vice versa.... | Fred is not strong. | contradiction | ((?[X]:((~patient(X)|generous(X))))=>((~quiet(mary)|~humble(mary))))&
(![X]:((wise(X)&~happy(X))<=>(old(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~happy(X))=>(calm(X)&creative(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)&~generous(X))))&
(![X]:((curious(X)|~wise(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~quiet(X)<~>~ha... | ~strong(fred) | [
"p2",
"p7",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1921663722668507197432224
% SZS output start Proof for 1921663722668507197432224
3. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (creative(X0) & calm(X0))) [input p2]
8. ! [X0] : ((~rich(X0) & creative(X0)) <=> (rich(X0) & ~happy(X0))) [input p7]
9. ! [X0] : (~generous(X0) => generous(X0)) [inp... | 0 |
Everyone who is both humble and not humble is not creative or strong and vice versa. If mary is happy or calm then someone is tall. If john is not curious then someone is both not curious and not rich. If susan is not tall or humble then mary is strong or not humble. If fred is old then fred is either not quiet or not ... | John is funny. | neutral | (![X]:((humble(X)&~humble(X))<=>(~creative(X)|strong(X))))&
(((happy(mary)|calm(mary)))=>(?[X]:(tall(X))))&
((~curious(john))=>(?[X]:((~curious(X)&~rich(X)))))&
(((~tall(susan)|humble(susan)))=>((strong(mary)|~humble(mary))))&
((old(fred))<=>((~quiet(fred)<~>~calm(fred))))&
(![X]:(quiet(X)<=>(wise(X)&tall(X))))&
((?[X]... | funny(john) | [] | null | 0 |
Everyone who is not rich or not strong is both humble and wise.
Everyone who is either brave or quiet is either not brave or not calm.
Everyone who is not creative or humble is rich or strong and vice versa.
Everyone who is both not humble and curious is either not funny or old.
If mary is generous or not generous then... | Fred is happy. | neutral | (![X]:((~rich(X)|~strong(X))=>(humble(X)&wise(X))))&
(![X]:((brave(X)<~>quiet(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((~creative(X)|humble(X))<=>(rich(X)|strong(X))))&
(![X]:((~humble(X)&curious(X))=>(~funny(X)<~>old(X))))&
(((generous(mary)|~generous(mary)))=>((~curious(mary)|~creative(mary))))&
(((humble(mary)<~>quiet(... | happy(fred) | [] | null | 0 |
Everyone who is not patient or quiet is either brave or happy.
If susan is not generous then mary is patient and vice versa.
If someone is both not creative and curious then someone is either not humble or not wise.
If paul is either strong or not humble then alice is funny and vice versa.
If someone is both not humble... | Fred is not rich. | contradiction | (![X]:((~patient(X)|quiet(X))=>(brave(X)<~>happy(X))))&
((~generous(susan))<=>(patient(mary)))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
(((strong(paul)<~>~humble(paul)))<=>(funny(alice)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:(brave(X)))=>(?[X]:(... | ~rich(fred) | [
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 642146652770921792768942
% SZS output start Proof for 642146652770921792768942
7. ! [X0] : (brave(X0) => (~kind(X0) & tall(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~rich(X0) | ~humble(X0))) [input p9]
15. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> brave(X0)) [input p14]
21. ~rich(fred)... | 0 |
Everyone who is not brave is both not happy and tall and vice versa.
If lucy is both not funny and funny then paul is either creative or not happy and vice versa.
If someone is quiet then someone is patient or not strong and vice versa.
Everyone who is brave or not wise is both creative and not humble and vice versa.
I... | Paul is old. | contradiction | (![X]:(~brave(X)<=>(~happy(X)&tall(X))))&
(((~funny(lucy)&funny(lucy)))<=>((creative(paul)<~>~happy(paul))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)|~strong(X)))))&
(![X]:((brave(X)|~wise(X))<=>(creative(X)&~humble(X))))&
((?[X]:((~kind(X)|~humble(X))))<=>(?[X]:((~calm(X)&~humble(X)))))&
(![X]:((~strong(X)&tall(X))<=>... | old(paul) | [
"p1",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1509602670104070032960817
% SZS output start Proof for 1509602670104070032960817
2. (funny(lucy) & ~funny(lucy)) <=> (creative(paul) <~> ~happy(paul)) [input p1]
8. ! [X0] : ((funny(X0) & strong(X0)) => (~creative(X0) & funny(X0))) [input p7]
10. ! [X0] : (old(X0) <=> funny(X0)) [input p9... | 0 |
If someone is kind then lucy is not old and vice versa.
If someone is both wise and kind then someone is both old and not rich and vice versa.
Everyone who is both creative and not curious is not strong or wise.
If lucy is either not humble or not tall then john is either not creative or not rich and vice versa.
Everyo... | Fred is not curious. | contradiction | ((?[X]:(kind(X)))<=>(~old(lucy)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:((old(X)&~rich(X)))))&
(![X]:((creative(X)&~curious(X))=>(~strong(X)|wise(X))))&
(((~humble(lucy)<~>~tall(lucy)))<=>((~creative(john)<~>~rich(john))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)<~>patient(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:... | ~curious(fred) | [
"p8",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4143852529789206495972283
% SZS output start Proof for 4143852529789206495972283
9. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (wise(X0) | ~creative(X0))) [input p8]
11. ! [X0] : ((kind(X0) | quiet(X0)) => generous(X0)) [input p10]
12. ! [X0] : ((~calm(X0) | ~wise(X0)) => ~quiet(X0)) [inp... | 0 |
If someone is either not happy or brave then someone is both not funny and not quiet. Everyone who is not curious is either curious or not tall. Everyone who is both not strong and kind is either happy or calm and vice versa. Everyone who is either brave or patient is either not quiet or brave and vice versa. If john i... | Mary is not happy. | contradiction | ((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(~curious(X)=>(curious(X)<~>~tall(X))))&
(![X]:((~strong(X)&kind(X))<=>(happy(X)<~>calm(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~quiet(X)<~>brave(X))))&
((happy(john))=>(?[X]:((calm(X)|~strong(X)))))&
(((~funny(mary)<~>~strong(mary)))=>((~calm(su... | ~happy(mary) | [
"p1",
"p2",
"p7",
"p8",
"p12",
"p13",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6646391320271695429531736
% SZS output start Proof for 6646391320271695429531736
2. ! [X0] : (~curious(X0) => (curious(X0) <~> ~tall(X0))) [input p1]
3. ! [X0] : ((kind(X0) & ~strong(X0)) <=> (happy(X0) <~> calm(X0))) [input p2]
8. ! [X0] : ((wise(X0) | ~brave(X0)) <=> (quiet(X0) <~> tall... | 0 |
Everyone who is curious or not kind is not calm.
Everyone who is not kind or funny is either not rich or quiet.
Everyone who is not creative or not happy is either not kind or tall and vice versa.
Everyone who is either not humble or brave is not tall or not wise.
Everyone who is both calm and tall is not wise and vice... | Susan is not humble. | neutral | (![X]:((curious(X)|~kind(X))=>~calm(X)))&
(![X]:((~kind(X)|funny(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~tall(X)|~wise(X))))&
(![X]:((calm(X)&tall(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>~creative(X))=>~generous(X)))&
(![X]:((~strong(X)&~c... | ~humble(susan) | [] | null | 0 |
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