premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both patient and not tall is either not humble or generous. Everyone who is generous or not curious is not rich and vice versa. If someone is both funny and kind then john is funny or patient and vice versa. If mary is funny or tall then fred is both rich and kind. If john is not brave then someone is e... | Fred is rich. | entailment | (![X]:((patient(X)&~tall(X))=>(~humble(X)<~>generous(X))))&
(![X]:((generous(X)|~curious(X))<=>~rich(X)))&
((?[X]:((funny(X)&kind(X))))<=>((funny(john)|patient(john))))&
(((funny(mary)|tall(mary)))=>((rich(fred)&kind(fred))))&
((~brave(john))<=>(?[X]:((funny(X)<~>brave(X)))))&
(![X]:((quiet(X)&brave(X))<=>(curious(X)|o... | rich(fred) | [
"p3",
"p7",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7125638089789851079103098
% SZS output start Proof for 7125638089789851079103098
4. (tall(mary) | funny(mary)) => (kind(fred) & rich(fred)) [input p3]
8. ! [X0] : ((~tall(X0) & strong(X0)) => (quiet(X0) & ~calm(X0))) [input p7]
13. ? [X0] : ~funny(X0) <=> strong(mary) [input p12]
15. ! [X... | 0 |
If someone is kind then alice is curious and vice versa. Everyone who is quiet is brave and vice versa. If paul is tall then paul is either not humble or not old. Everyone who is not quiet or not happy is quiet or not creative and vice versa. If someone is either not tall or not creative then someone is not creative. E... | Lucy is brave. | neutral | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(quiet(X)<=>brave(X)))&
((tall(paul))=>((~humble(paul)<~>~old(paul))))&
(![X]:((~quiet(X)|~happy(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)&~brave(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~wise(X)|~rich(X))... | brave(lucy) | [] | null | 0 |
Everyone who is either wise or quiet is curious or not wise and vice versa. Everyone who is both old and happy is not tall and vice versa. Everyone who is either not old or quiet is not kind or calm and vice versa. If mary is either not wise or curious then someone is tall and vice versa. If someone is both quiet and k... | Paul is happy. | contradiction | (![X]:((wise(X)<~>quiet(X))<=>(curious(X)|~wise(X))))&
(![X]:((old(X)&happy(X))<=>~tall(X)))&
(![X]:((~old(X)<~>quiet(X))<=>(~kind(X)|calm(X))))&
(((~wise(mary)<~>curious(mary)))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&kind(X))))=>((strong(fred)|patient(fred))))&
(![X]:((strong(X)|~quiet(X))=>(patient(X)<~>~generous(X))... | happy(paul) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5114809587468923992775330
% SZS output start Proof for 5114809587468923992775330
1. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (~wise(X0) | curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) & old(X0)) <=> ~tall(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> (calm(X0) | ~kind(X0))) [... | 0 |
Everyone who is strong or not calm is either curious or old and vice versa.
Everyone who is both old and not patient is both happy and patient and vice versa.
Everyone who is either not calm or not strong is either kind or quiet and vice versa.
If lucy is either quiet or not creative then someone is both humble and not... | Paul is not wise. | entailment | (![X]:((strong(X)|~calm(X))<=>(curious(X)<~>old(X))))&
(![X]:((old(X)&~patient(X))<=>(happy(X)&patient(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(kind(X)<~>quiet(X))))&
(((quiet(lucy)<~>~creative(lucy)))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((old(X)&~creative... | ~wise(paul) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 812658157947429529137562
% SZS output start Proof for 812658157947429529137562
1. ! [X0] : ((~calm(X0) | strong(X0)) <=> (curious(X0) <~> old(X0))) [input p0]
2. ! [X0] : ((~patient(X0) & old(X0)) <=> (patient(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~curious(X0) & kind(X0)) <=> (~calm(... | 0 |
Everyone who is both rich and not rich is not humble or quiet and vice versa. If mary is both humble and funny then mary is rich or not happy and vice versa. If fred is both old and strong then lucy is funny and vice versa. If alice is not generous or humble then mary is not strong or rich and vice versa. Everyone who ... | Mary is patient. | entailment | (![X]:((rich(X)&~rich(X))<=>(~humble(X)|quiet(X))))&
(((humble(mary)&funny(mary)))<=>((rich(mary)|~happy(mary))))&
(((old(fred)&strong(fred)))<=>(funny(lucy)))&
(((~generous(alice)|humble(alice)))<=>((~strong(mary)|rich(mary))))&
(![X]:((strong(X)|quiet(X))<=>(happy(X)|~tall(X))))&
(![X]:((~rich(X)&old(X))<=>(~rich(X)<... | patient(mary) | [
"p0",
"p3",
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8404134353373226397909161
% SZS output start Proof for 8404134353373226397909161
1. ! [X0] : ((~rich(X0) & rich(X0)) <=> (quiet(X0) | ~humble(X0))) [input p0]
4. (humble(alice) | ~generous(alice)) <=> (rich(mary) | ~strong(mary)) [input p3]
5. ! [X0] : ((quiet(X0) | strong(X0)) <=> (~tall... | 0 |
If someone is not generous then someone is not strong.
Everyone who is not funny is either calm or not kind.
If someone is both not calm and rich then john is funny or calm and vice versa.
Everyone who is not brave is both quiet and not funny.
If someone is either not brave or not rich then alice is creative or not gen... | John is tall. | neutral | ((?[X]:(~generous(X)))=>(?[X]:(~strong(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)=>(quiet(X)&~funny(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((creative(alice)|~generous(alice))))&
(![X]:(~old(X)=>(calm(X)|quiet(X))))&
((?[X]:((~kind(X)|... | tall(john) | [] | null | 0 |
If someone is both not creative and not kind then alice is not wise and vice versa. Everyone who is not funny or not brave is both humble and not wise and vice versa. Everyone who is not kind or curious is not old and vice versa. Everyone who is not curious is both humble and not generous. Everyone who is both curious ... | Alice is funny. | neutral | ((?[X]:((~creative(X)&~kind(X))))<=>(~wise(alice)))&
(![X]:((~funny(X)|~brave(X))<=>(humble(X)&~wise(X))))&
(![X]:((~kind(X)|curious(X))<=>~old(X)))&
(![X]:(~curious(X)=>(humble(X)&~generous(X))))&
(![X]:((curious(X)&tall(X))=>~strong(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~curious(X)<~>funny(X)))))&
(((~strong(fred)<~>gene... | funny(alice) | [] | null | 0 |
If fred is humble or creative then alice is both not happy and not strong and vice versa.
Everyone who is either humble or happy is not rich or wise.
If someone is both wise and not humble then someone is tall and vice versa.
Everyone who is happy is not strong.
If mary is not quiet or humble then john is both not gene... | Mary is not creative. | entailment | (((humble(fred)|creative(fred)))<=>((~happy(alice)&~strong(alice))))&
(![X]:((humble(X)<~>happy(X))=>(~rich(X)|wise(X))))&
((?[X]:((wise(X)&~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:(happy(X)=>~strong(X)))&
(((~quiet(mary)|humble(mary)))=>((~generous(john)&quiet(john))))&
(![X]:((humble(X)|~wise(X))<=>(brave(X)|~curious... | ~creative(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5297606610707450789435781
% SZS output start Proof for 5297606610707450789435781
10. ! [X0] : (creative(X0) => (~calm(X0) & ~creative(X0))) [input p9]
25. creative(mary) [input hypothesis]
32. ! [X0] : ((~calm(X0) & ~creative(X0)) | ~creative(X0)) [ennf transformation 10]
111. ~creative(X... | 0 |
Everyone who is either rich or not generous is not funny or humble.
Everyone who is both not old and generous is funny or quiet and vice versa.
Everyone who is not tall is patient or wise.
Everyone who is both not tall and calm is not curious or not generous and vice versa.
Everyone who is both strong and not calm is e... | Fred is not happy. | contradiction | (![X]:((rich(X)<~>~generous(X))=>(~funny(X)|humble(X))))&
(![X]:((~old(X)&generous(X))<=>(funny(X)|quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))... | ~happy(fred) | [
"p1",
"p7",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 700678355589465091527576
% SZS output start Proof for 700678355589465091527576
2. ! [X0] : ((generous(X0) & ~old(X0)) <=> (quiet(X0) | funny(X0))) [input p1]
8. ? [X0] : (happy(X0) | wise(X0)) => funny(fred) [input p7]
9. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => (curious(X0) & ~generous(X... | 0 |
If susan is tall or wise then someone is not humble or rich.
If someone is not creative or calm then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and not creative.
Everyone who is not old is old or not rich.
Everyon... | Fred is old. | entailment | (((tall(susan)|wise(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
((?[X]:((~creative(X)|calm(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~old(X)|~quiet(X)... | old(fred) | [
"p3",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7158569742431103240580415
% SZS output start Proof for 7158569742431103240580415
4. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p3]
5. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p4]
10. ! [X0] : ((quiet(X0) & wise(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p9]
15. ... | 0 |
If someone is either happy or not strong then someone is curious or not quiet and vice versa.
If susan is not brave or old then fred is either quiet or rich and vice versa.
Everyone who is not wise is either not generous or kind.
If alice is not old or not wise then someone is either not old or creative and vice versa.... | Alice is not creative. | neutral | ((?[X]:((happy(X)<~>~strong(X))))<=>(?[X]:((curious(X)|~quiet(X)))))&
(((~brave(susan)|old(susan)))<=>((quiet(fred)<~>rich(fred))))&
(![X]:(~wise(X)=>(~generous(X)<~>kind(X))))&
(((~old(alice)|~wise(alice)))<=>(?[X]:((~old(X)<~>creative(X)))))&
((~calm(alice))<=>(?[X]:((~quiet(X)<~>~kind(X)))))&
(![X]:((tall(X)<~>~funn... | ~creative(alice) | [] | null | 0 |
Everyone who is creative is both not kind and kind.
If john is brave or funny then susan is strong or not strong and vice versa.
If alice is either old or patient then someone is strong.
Everyone who is either not quiet or calm is both not quiet and not funny.
Everyone who is either not wise or humble is funny and vice... | Mary is not rich. | contradiction | (![X]:(creative(X)=>(~kind(X)&kind(X))))&
(((brave(john)|funny(john)))<=>((strong(susan)|~strong(susan))))&
(((old(alice)<~>patient(alice)))=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)<~>calm(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~wise(X)<~>humble(X))<=>funny(X)))&
(![X]:((~curious(X)<~>~strong(X))<=>(~wise(X)<~>~brave(X))... | ~rich(mary) | [
"p3",
"p4",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7980218612573056521372313
% SZS output start Proof for 7980218612573056521372313
4. ! [X0] : ((~quiet(X0) <~> calm(X0)) => (~funny(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : ((~wise(X0) <~> humble(X0)) <=> funny(X0)) [input p4]
10. (quiet(mary) <~> humble(mary)) <=> ? [X0] : (patient(X0) &... | 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... | Mary is not curious. | neutral | (![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)))=>((~... | ~curious(mary) | [] | null | 0 |
If fred is either kind or old then someone is old.
Everyone who is either calm or not wise is wise.
Everyone who is either not brave or not old is either tall or not tall.
If someone is not curious or not old then someone is both not rich and humble.
Everyone who is both not happy and rich is creative and vice versa.
E... | John is old. | entailment | (((kind(fred)<~>old(fred)))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))=>wise(X)))&
(![X]:((~brave(X)<~>~old(X))=>(tall(X)<~>~tall(X))))&
((?[X]:((~curious(X)|~old(X))))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>creative(X)))&
(![X]:((kind(X)|patient(X))<=>(tall(X)&old(X))))&
(![X]:((~generous(X)... | old(john) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7480658537258082102798331
% SZS output start Proof for 7480658537258082102798331
6. ! [X0] : ((patient(X0) | kind(X0)) <=> (old(X0) & tall(X0))) [input p5]
12. ! [X0] : (kind(X0) <=> (happy(X0) | ~happy(X0))) [input p11]
23. ~old(john) [input hypothesis]
43. ! [X0] : (((patient(X0) | kind... | 0 |
If alice is old or patient then someone is not wise and vice versa.
If someone is both not curious and not quiet then susan is old.
Everyone who is both humble and not calm is either not brave or funny.
If someone is either happy or wise then lucy is tall or not happy.
Everyone who is both curious and calm is both not ... | Mary is humble. | entailment | (((old(alice)|patient(alice)))<=>(?[X]:(~wise(X))))&
((?[X]:((~curious(X)&~quiet(X))))=>(old(susan)))&
(![X]:((humble(X)&~calm(X))=>(~brave(X)<~>funny(X))))&
((?[X]:((happy(X)<~>wise(X))))=>((tall(lucy)|~happy(lucy))))&
(![X]:((curious(X)&calm(X))=>(~tall(X)&strong(X))))&
(![X]:((~wise(X)|wise(X))<=>(humble(X)&brave(X)... | humble(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2813063072096640879929960
% SZS output start Proof for 2813063072096640879929960
6. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (brave(X0) & humble(X0))) [input p5]
25. ~humble(mary) [input hypothesis]
45. ! [X0] : (((wise(X0) | ~wise(X0)) | (~brave(X0) | ~humble(X0))) & ((brave(X0) & humble(X0)... | 0 |
Everyone who is either creative or not rich is both not curious and not calm. If fred is either generous or creative then mary is both not creative and quiet. Everyone who is both curious and old is not calm or not rich and vice versa. Everyone who is not quiet or not old is either brave or patient. Everyone who is hum... | Susan is not generous. | entailment | (![X]:((creative(X)<~>~rich(X))=>(~curious(X)&~calm(X))))&
(((generous(fred)<~>creative(fred)))=>((~creative(mary)&quiet(mary))))&
(![X]:((curious(X)&old(X))<=>(~calm(X)|~rich(X))))&
(![X]:((~quiet(X)|~old(X))=>(brave(X)<~>patient(X))))&
(![X]:((humble(X)|wise(X))=>~patient(X)))&
(![X]:((~patient(X)&~kind(X))=>(~rich(X... | ~generous(susan) | [
"p4",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4267369196134140222320600
% SZS output start Proof for 4267369196134140222320600
5. ! [X0] : ((wise(X0) | humble(X0)) => ~patient(X0)) [input p4]
9. (patient(lucy) | wise(lucy)) => (happy(john) & humble(john)) [input p8]
10. ! [X0] : (kind(X0) => ~generous(X0)) [input p9]
15. (~patient(su... | 0 |
Everyone who is not curious is both strong and patient and vice versa. If paul is both tall and not kind then someone is either tall or not strong and vice versa. If fred is not wise or happy then mary is not creative and vice versa. If someone is either not quiet or patient then someone is wise or not quiet. If fred i... | Fred is not creative. | entailment | (![X]:(~curious(X)<=>(strong(X)&patient(X))))&
(((tall(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~strong(X)))))&
(((~wise(fred)|happy(fred)))<=>(~creative(mary)))&
((?[X]:((~quiet(X)<~>patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
((~curious(fred))<=>(?[X]:((~creative(X)|~old(X)))))&
((?[X]:((~patient(X)<~>humble(X))))=>... | ~creative(fred) | [
"p0",
"p4",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7184383657636470483539372
% SZS output start Proof for 7184383657636470483539372
1. ! [X0] : (~curious(X0) <=> (patient(X0) & strong(X0))) [input p0]
5. ~curious(fred) <=> ? [X0] : (~old(X0) | ~creative(X0)) [input p4]
9. ! [X0] : (~patient(X0) <=> (creative(X0) | brave(X0))) [input p8]
1... | 0 |
Everyone who is both not patient and patient is humble and vice versa.
Everyone who is either humble or not curious is either humble or not creative and vice versa.
If susan is not strong or not old then fred is kind or humble.
Everyone who is both not quiet and humble is not quiet or not happy.
Everyone who is not cal... | Susan is patient. | contradiction | (![X]:((~patient(X)&patient(X))<=>humble(X)))&
(![X]:((humble(X)<~>~curious(X))<=>(humble(X)<~>~creative(X))))&
(((~strong(susan)|~old(susan)))=>((kind(fred)|humble(fred))))&
(![X]:((~quiet(X)&humble(X))=>(~quiet(X)|~happy(X))))&
(![X]:((~calm(X)|strong(X))=>(~kind(X)&~happy(X))))&
(![X]:((~quiet(X)&wise(X))<=>(strong(... | patient(susan) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6067489176645658604351618
% SZS output start Proof for 6067489176645658604351618
1. ! [X0] : ((patient(X0) & ~patient(X0)) <=> humble(X0)) [input p0]
9. ? [X0] : patient(X0) => ? [X0] : humble(X0) [input p8]
23. patient(susan) [input hypothesis]
24. ? [X0] : patient(X0) => ? [X1] : humble... | 0 |
Everyone who is either not humble or funny is either not kind or not patient and vice versa. Everyone who is calm or not quiet is not strong and vice versa. Everyone who is not tall or rich is both creative and rich. Everyone who is both old and patient is quiet or not rich. If alice is not old or tall then someone is ... | Mary is strong. | neutral | (![X]:((~humble(X)<~>funny(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((calm(X)|~quiet(X))<=>~strong(X)))&
(![X]:((~tall(X)|rich(X))=>(creative(X)&rich(X))))&
(![X]:((old(X)&patient(X))=>(quiet(X)|~rich(X))))&
(((~old(alice)|tall(alice)))=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:(~generous(X)<=>(~old(X)&~strong(X))))&... | strong(mary) | [] | null | 0 |
If someone is not funny then someone is brave or not creative.
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creativ... | Alice is not kind. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((brave(X)|~creative(X)))))&
((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall... | ~kind(alice) | [] | null | 0 |
Everyone who is either quiet or not funny is both kind and not patient and vice versa.
If mary is rich or not generous then susan is happy and vice versa.
If fred is either happy or not kind then alice is generous.
Everyone who is either not rich or not tall is not creative and vice versa.
Everyone who is both rich and... | Lucy is wise. | contradiction | (![X]:((quiet(X)<~>~funny(X))<=>(kind(X)&~patient(X))))&
(((rich(mary)|~generous(mary)))<=>(happy(susan)))&
(((happy(fred)<~>~kind(fred)))=>(generous(alice)))&
(![X]:((~rich(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((rich(X)&humble(X))<=>(~humble(X)|~calm(X))))&
(![X]:(happy(X)=>(~curious(X)|~kind(X))))&
((?[X]:((rich(X)... | wise(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3115420850059517240448553
% SZS output start Proof for 3115420850059517240448553
15. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & brave(X0))) [input p14]
24. wise(lucy) [input hypothesis]
37. ! [X0] : ((~wise(X0) & brave(X0)) | (~calm(X0) & ~wise(X0))) [ennf transformation 15]
121. ~wi... | 0 |
Everyone who is happy is both not happy and not quiet. Everyone who is strong is either creative or not calm and vice versa. If someone is either not kind or not happy then someone is either not humble or not generous. If mary is both not old and not kind then john is both kind and not kind and vice versa. Everyone who... | Lucy is funny. | contradiction | (![X]:(happy(X)=>(~happy(X)&~quiet(X))))&
(![X]:(strong(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((~kind(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~generous(X)))))&
(((~old(mary)&~kind(mary)))<=>((kind(john)&~kind(john))))&
(![X]:((curious(X)|~humble(X))=>(~happy(X)|generous(X))))&
(![X]:(~tall(X)<=>(tall(X)|~patient(X)))... | funny(lucy) | [
"p0",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3864882901983363031260361
% SZS output start Proof for 3864882901983363031260361
1. ! [X0] : (happy(X0) => (~quiet(X0) & ~happy(X0))) [input p0]
6. ! [X0] : (~tall(X0) <=> (~patient(X0) | tall(X0))) [input p5]
7. ! [X0] : ((~humble(X0) & curious(X0)) <=> (creative(X0) <~> ~old(X0))) [inpu... | 0 |
Everyone who is not curious or patient is happy or not tall. Everyone who is tall is either not funny or tall and vice versa. Everyone who is calm or kind is strong. Everyone who is either not generous or not calm is both old and not funny. Everyone who is both not curious and not strong is not wise or quiet. If someon... | John is rich. | neutral | (![X]:((~curious(X)|patient(X))=>(happy(X)|~tall(X))))&
(![X]:(tall(X)<=>(~funny(X)<~>tall(X))))&
(![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((~generous(X)<~>~calm(X))=>(old(X)&~funny(X))))&
(![X]:((~curious(X)&~strong(X))=>(~wise(X)|quiet(X))))&
((?[X]:((~curious(X)|~old(X))))<=>((wise(alice)|old(alice))))&
(![X]:((... | rich(john) | [] | null | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Fred is kind. | entailment | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | kind(fred) | [
"p0",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6539784567763398910909461
% SZS output start Proof for 6539784567763398910909461
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
7. ! [X0] : (brave(X0) <=> (~calm(X0) & old(X0))) [input p6]
14. ? [X0] : (~calm(X0) <~> kind(X0)) <=> (~brave(susan) & generous(susan)) [inpu... | 0 |
If mary is both not happy and not wise then someone is either rich or quiet and vice versa. Everyone who is not old is either not humble or not happy. If paul is either generous or not quiet then mary is happy or kind and vice versa. If paul is kind then someone is not happy and vice versa. Everyone who is both not str... | Mary is not patient. | neutral | (((~happy(mary)&~wise(mary)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:(~old(X)=>(~humble(X)<~>~happy(X))))&
(((generous(paul)<~>~quiet(paul)))<=>((happy(mary)|kind(mary))))&
((kind(paul))<=>(?[X]:(~happy(X))))&
(![X]:((~strong(X)&generous(X))<=>(funny(X)|humble(X))))&
(![X]:(funny(X)=>(brave(X)|~generous(X))))&
((~pati... | ~patient(mary) | [] | null | 0 |
Everyone who is either not rich or tall is generous or not calm.
If susan is both kind and curious then someone is either curious or not patient.
Everyone who is both patient and strong is happy or not kind.
Everyone who is both not quiet and rich is both brave and old.
Everyone who is not patient or not creative is bo... | Susan is humble. | neutral | (![X]:((~rich(X)<~>tall(X))=>(generous(X)|~calm(X))))&
(((kind(susan)&curious(susan)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((patient(X)&strong(X))=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)&rich(X))=>(brave(X)&old(X))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~ge... | humble(susan) | [] | null | 0 |
Everyone who is quiet or not curious is kind.
Everyone who is not old is not rich and vice versa.
If john is creative then paul is either not brave or not patient and vice versa.
Everyone who is both happy and not wise is not brave.
Everyone who is not generous is both curious and not curious and vice versa.
Everyone w... | John is happy. | entailment | (![X]:((quiet(X)|~curious(X))=>kind(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((creative(john))<=>((~brave(paul)<~>~patient(paul))))&
(![X]:((happy(X)&~wise(X))=>~brave(X)))&
(![X]:(~generous(X)<=>(curious(X)&~curious(X))))&
(![X]:(~strong(X)<=>(brave(X)|~tall(X))))&
(![X]:((rich(X)<~>old(X))<=>~wise(X)))&
(![X]:((calm(X)|~st... | happy(john) | [
"p0",
"p1",
"p5",
"p6",
"p8",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8258488348997809387466598
% SZS output start Proof for 8258488348997809387466598
1. ! [X0] : ((~curious(X0) | quiet(X0)) => kind(X0)) [input p0]
2. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) | brave(X0))) [input p5]
7. ! [X0] : ((rich(X0) <~> old(... | 0 |
Everyone who is tall or not funny is patient and vice versa. Everyone who is happy or humble is both brave and not rich. If paul is brave then susan is both happy and not quiet and vice versa. If someone is not old or not generous then someone is both strong and not brave and vice versa. If someone is both not happy an... | Paul is happy. | contradiction | (![X]:((tall(X)|~funny(X))<=>patient(X)))&
(![X]:((happy(X)|humble(X))=>(brave(X)&~rich(X))))&
((brave(paul))<=>((happy(susan)&~quiet(susan))))&
((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((strong(X)&~brave(X)))))&
((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:(~wise(X)=>rich(X)))&
((?[X]:(rich... | happy(paul) | [
"p1",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7707893956921309134253594
% SZS output start Proof for 7707893956921309134253594
2. ! [X0] : ((humble(X0) | happy(X0)) => (~rich(X0) & brave(X0))) [input p1]
12. ! [X0] : ((curious(X0) <~> ~kind(X0)) <=> (brave(X0) | wise(X0))) [input p11]
16. ! [X0] : (~curious(X0) <=> (~brave(X0) <~> ki... | 0 |
If fred is kind then fred is not brave or not generous.
If someone is strong or curious then someone is either not happy or not generous.
Everyone who is brave or humble is both not tall and not patient.
If someone is both not patient and wise then john is happy.
Everyone who is either brave or strong is happy.
Everyon... | Paul is not brave. | entailment | ((kind(fred))=>((~brave(fred)|~generous(fred))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((brave(X)|humble(X))=>(~tall(X)&~patient(X))))&
((?[X]:((~patient(X)&wise(X))))=>(happy(john)))&
(![X]:((brave(X)<~>strong(X))=>happy(X)))&
(![X]:(curious(X)<=>(~wise(X)<~>~happy(X))))&
(((~c... | ~brave(paul) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 733777956262932599135513
% SZS output start Proof for 733777956262932599135513
3. ! [X0] : ((humble(X0) | brave(X0)) => (~patient(X0) & ~tall(X0))) [input p2]
11. ! [X0] : (~patient(X0) => (curious(X0) & tall(X0))) [input p10]
24. brave(paul) [input hypothesis]
31. ! [X0] : ((~patient(X0)... | 0 |
Everyone who is not quiet is humble and vice versa.
Everyone who is not rich or rich is not tall.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyone who is brave is either not brave or patient.
Everyone who is both not brave and ki... | Lucy is not kind. | neutral | (![X]:(~quiet(X)<=>humble(X)))&
(![X]:((~rich(X)|rich(X))=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![X]:((funny(X)&humble(X))=>(~patient(X)&~humble(X))))&
(![X]:(... | ~kind(lucy) | [] | null | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | Susan is old. | entailment | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | old(susan) | [
"p0",
"p2",
"p4",
"p5",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6788163492812354272962513
% SZS output start Proof for 6788163492812354272962513
1. ! [X0] : ((~generous(X0) <~> ~patient(X0)) => (rich(X0) & ~old(X0))) [input p0]
3. ! [X0] : ((generous(X0) | creative(X0)) => (~wise(X0) | old(X0))) [input p2]
5. ! [X0] : ((~funny(X0) | funny(X0)) => ~tal... | 0 |
If fred is humble then susan is either not calm or not patient and vice versa. Everyone who is not old is calm. Everyone who is both old and rich is happy. If someone is rich or not wise then susan is not creative. Everyone who is curious or generous is either patient or happy and vice versa. Everyone who is either not... | John is happy. | entailment | ((humble(fred))<=>((~calm(susan)<~>~patient(susan))))&
(![X]:(~old(X)=>calm(X)))&
(![X]:((old(X)&rich(X))=>happy(X)))&
((?[X]:((rich(X)|~wise(X))))=>(~creative(susan)))&
(![X]:((curious(X)|generous(X))<=>(patient(X)<~>happy(X))))&
(![X]:((~happy(X)<~>~kind(X))=>~quiet(X)))&
(![X]:((~generous(X)<~>~wise(X))<=>(curious(X... | happy(john) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6751278097582988315381024
% SZS output start Proof for 6751278097582988315381024
5. ! [X0] : ((generous(X0) | curious(X0)) <=> (patient(X0) <~> happy(X0))) [input p4]
6. ! [X0] : ((~happy(X0) <~> ~kind(X0)) => ~quiet(X0)) [input p5]
8. ! [X0] : ((~kind(X0) | ~quiet(X0)) => (~creative(X0) ... | 0 |
Everyone who is not old is not kind.
If paul is either calm or not rich then john is not humble or kind.
If lucy is not funny then someone is rich.
Everyone who is rich or not tall is both tall and old.
Everyone who is both happy and humble is not generous.
Everyone who is both generous and not creative is not old or n... | John is strong. | entailment | (![X]:(~old(X)=>~kind(X)))&
(((calm(paul)<~>~rich(paul)))=>((~humble(john)|kind(john))))&
((~funny(lucy))=>(?[X]:(rich(X))))&
(![X]:((rich(X)|~tall(X))=>(tall(X)&old(X))))&
(![X]:((happy(X)&humble(X))=>~generous(X)))&
(![X]:((generous(X)&~creative(X))=>(~old(X)|~humble(X))))&
(![X]:((generous(X)<~>~generous(X))<=>(~cur... | strong(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8667229890248251827995451
% SZS output start Proof for 8667229890248251827995451
8. ! [X0] : ((humble(X0) & ~strong(X0)) <=> ~humble(X0)) [input p7]
25. ~strong(john) [input hypothesis]
46. ! [X0] : (((humble(X0) & ~strong(X0)) | humble(X0)) & (~humble(X0) | (~humble(X0) | strong(X0)))) [... | 0 |
If alice is old then lucy is kind and vice versa. If someone is not calm or not happy then someone is either strong or not old and vice versa. If someone is not brave then someone is humble and vice versa. If someone is either wise or not strong then someone is calm or rich. Everyone who is not rich is not rich or happ... | Fred is creative. | entailment | ((old(alice))<=>(kind(lucy)))&
((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:((strong(X)<~>~old(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~rich(X)<=>(~rich(X)|happy(X))))&
(![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~calm(... | creative(fred) | [
"p2",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1262807441665686324205072
% SZS output start Proof for 1262807441665686324205072
3. ? [X0] : ~brave(X0) <=> ? [X0] : humble(X0) [input p2]
5. ! [X0] : (~rich(X0) <=> (happy(X0) | ~rich(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~curious(X0))) [input p5]
8. ! [X0] : (... | 0 |
If lucy is not humble or not creative then lucy is both not calm and rich and vice versa. If alice is either tall or not happy then alice is both patient and happy. Everyone who is both not generous and quiet is both wise and not patient and vice versa. If lucy is funny or not humble then someone is both humble and not... | Lucy is not kind. | entailment | (((~humble(lucy)|~creative(lucy)))<=>((~calm(lucy)&rich(lucy))))&
(((tall(alice)<~>~happy(alice)))=>((patient(alice)&happy(alice))))&
(![X]:((~generous(X)&quiet(X))<=>(wise(X)&~patient(X))))&
(((funny(lucy)|~humble(lucy)))=>(?[X]:((humble(X)&~curious(X)))))&
(((~calm(alice)&~creative(alice)))=>((tall(lucy)&~brave(lucy)... | ~kind(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6034817166860876801159557
% SZS output start Proof for 6034817166860876801159557
11. ! [X0] : ((kind(X0) | brave(X0)) <=> (~kind(X0) & ~wise(X0))) [input p10]
25. kind(lucy) [input hypothesis]
54. ! [X0] : (((kind(X0) | brave(X0)) | (kind(X0) | wise(X0))) & ((~kind(X0) & ~wise(X0)) | (~ki... | 0 |
If john is either curious or old then someone is curious or kind and vice versa.
Everyone who is not humble or creative is either not calm or humble.
Everyone who is both calm and funny is both humble and kind.
Everyone who is funny or not rich is not humble.
If someone is not creative or generous then someone is curio... | Fred is happy. | entailment | (((curious(john)<~>old(john)))<=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~humble(X)|creative(X))=>(~calm(X)<~>humble(X))))&
(![X]:((calm(X)&funny(X))=>(humble(X)&kind(X))))&
(![X]:((funny(X)|~rich(X))=>~humble(X)))&
((?[X]:((~creative(X)|generous(X))))<=>(?[X]:((curious(X)|rich(X)))))&
(![X]:((creative(X)&old(X))<=>cre... | happy(fred) | [
"p1",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7612343155105435938858092
% SZS output start Proof for 7612343155105435938858092
2. ! [X0] : ((creative(X0) | ~humble(X0)) => (~calm(X0) <~> humble(X0))) [input p1]
7. ! [X0] : ((~humble(X0) | ~calm(X0)) <=> (calm(X0) <~> ~wise(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | ~brave(X0)) <=> ca... | 0 |
Everyone who is both curious and old is brave or not brave.
Everyone who is either not generous or not calm is either curious or humble and vice versa.
If someone is either not wise or humble then alice is not brave.
Everyone who is either not patient or not humble is patient and vice versa.
Everyone who is either humb... | Alice is not strong. | contradiction | (![X]:((curious(X)&old(X))=>(brave(X)|~brave(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(curious(X)<~>humble(X))))&
((?[X]:((~wise(X)<~>humble(X))))=>(~brave(alice)))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))<=>(curious(X)&brave(X))))&
((?[X]:((brave(X)&patient(X))))<=>((creative(f... | ~strong(alice) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3439215276628122876859643
% SZS output start Proof for 3439215276628122876859643
2. ! [X0] : ((~generous(X0) <~> ~calm(X0)) <=> (curious(X0) <~> humble(X0))) [input p1]
3. ? [X0] : (~wise(X0) <~> humble(X0)) => ~brave(alice) [input p2]
4. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patie... | 0 |
Everyone who is old or creative is not humble.
If someone is either funny or strong then paul is not strong or not funny and vice versa.
Everyone who is tall or not tall is brave.
Everyone who is not happy is not kind.
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not ... | Paul is not curious. | entailment | (![X]:((old(X)|creative(X))=>~humble(X)))&
((?[X]:((funny(X)<~>strong(X))))<=>((~strong(paul)|~funny(paul))))&
(![X]:((tall(X)|~tall(X))=>brave(X)))&
(![X]:(~happy(X)=>~kind(X)))&
(![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(... | ~curious(paul) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7840115081821566183517812
% SZS output start Proof for 7840115081821566183517812
5. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p4]
13. ! [X0] : ((~patient(X0) | calm(X0)) => ~calm(X0)) [input p12]
14. ! [X0] : ((curious(X0) <~> calm(X0)) => (~tall(X0) & ~funny(X0... | 0 |
Everyone who is either generous or tall is not wise and vice versa.
If someone is either quiet or not generous then someone is brave and vice versa.
If fred is not patient or not creative then susan is either rich or calm and vice versa.
Everyone who is either not wise or kind is both tall and not humble.
If mary is ta... | Mary is not rich. | contradiction | (![X]:((generous(X)<~>tall(X))<=>~wise(X)))&
((?[X]:((quiet(X)<~>~generous(X))))<=>(?[X]:(brave(X))))&
(((~patient(fred)|~creative(fred)))<=>((rich(susan)<~>calm(susan))))&
(![X]:((~wise(X)<~>kind(X))=>(tall(X)&~humble(X))))&
((tall(mary))<=>(~generous(paul)))&
((?[X]:((~old(X)|~funny(X))))<=>((funny(susan)&~brave(susa... | ~rich(mary) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p8",
"p15",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4622561586606723326213639
% SZS output start Proof for 4622561586606723326213639
1. ! [X0] : ((generous(X0) <~> tall(X0)) <=> ~wise(X0)) [input p0]
4. ! [X0] : ((~wise(X0) <~> kind(X0)) => (~humble(X0) & tall(X0))) [input p3]
5. tall(mary) <=> ~generous(paul) [input p4]
6. ? [X0] : (~funn... | 0 |
Everyone who is curious or not generous is not kind and vice versa. Everyone who is not old is quiet or patient and vice versa. Everyone who is creative is not wise or happy. Everyone who is not brave or kind is not rich and vice versa. If alice is strong then mary is not rich. If mary is either not wise or not brave t... | Mary is rich. | neutral | (![X]:((curious(X)|~generous(X))<=>~kind(X)))&
(![X]:(~old(X)<=>(quiet(X)|patient(X))))&
(![X]:(creative(X)=>(~wise(X)|happy(X))))&
(![X]:((~brave(X)|kind(X))<=>~rich(X)))&
((strong(alice))=>(~rich(mary)))&
(((~wise(mary)<~>~brave(mary)))<=>((funny(alice)|~quiet(alice))))&
(((~happy(john)|generous(john)))<=>((strong(fr... | rich(mary) | [] | null | 0 |
Everyone who is tall is both wise and quiet and vice versa. If mary is old then someone is not old or not wise and vice versa. If someone is either not kind or calm then susan is either not strong or generous and vice versa. Everyone who is patient or not quiet is both not curious and not rich and vice versa. Everyone ... | John is brave. | contradiction | (![X]:(tall(X)<=>(wise(X)&quiet(X))))&
((old(mary))<=>(?[X]:((~old(X)|~wise(X)))))&
((?[X]:((~kind(X)<~>calm(X))))<=>((~strong(susan)<~>generous(susan))))&
(![X]:((patient(X)|~quiet(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~wise(X)|~generous(X))=>~tall(X)))&
(((tall(paul)<~>quiet(paul)))<=>((happy(fred)<~>~wise(fred))))... | brave(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1415097058188480919636879
% SZS output start Proof for 1415097058188480919636879
10. ! [X0] : (brave(X0) <=> (creative(X0) & ~creative(X0))) [input p9]
24. brave(john) [input hypothesis]
26. ! [X0] : (brave(X0) => (creative(X0) & ~creative(X0))) [unused predicate definition removal 10]
31... | 0 |
If someone is both not strong and not old then mary is strong or brave.
Everyone who is not patient or not wise is not old and vice versa.
If fred is both quiet and not patient then someone is brave and vice versa.
If lucy is not curious then fred is both not brave and not kind and vice versa.
Everyone who is brave is ... | Fred is not old. | entailment | ((?[X]:((~strong(X)&~old(X))))=>((strong(mary)|brave(mary))))&
(![X]:((~patient(X)|~wise(X))<=>~old(X)))&
(((quiet(fred)&~patient(fred)))<=>(?[X]:(brave(X))))&
((~curious(lucy))<=>((~brave(fred)&~kind(fred))))&
(![X]:(brave(X)<=>~tall(X)))&
(![X]:((old(X)&~funny(X))=>(~funny(X)&tall(X))))&
(((wise(fred)&~quiet(fred)))<... | ~old(fred) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6903519693221044832989565
% SZS output start Proof for 6903519693221044832989565
2. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> ~old(X0)) [input p1]
22. strong(fred) & ~patient(fred) [input p21]
25. old(fred) [input hypothesis]
37. ! [X0] : (((~wise(X0) | ~patient(X0)) | old(X0)) & (~old(X0)... | 0 |
Everyone who is both happy and not old is either not curious or not rich and vice versa.
If someone is both not calm and not humble then lucy is both not funny and not curious.
Everyone who is either not strong or patient is calm or patient.
Everyone who is either not kind or not quiet is not strong.
If someone is eith... | Susan is not wise. | neutral | (![X]:((happy(X)&~old(X))<=>(~curious(X)<~>~rich(X))))&
((?[X]:((~calm(X)&~humble(X))))=>((~funny(lucy)&~curious(lucy))))&
(![X]:((~strong(X)<~>patient(X))=>(calm(X)|patient(X))))&
(![X]:((~kind(X)<~>~quiet(X))=>~strong(X)))&
((?[X]:((~quiet(X)<~>old(X))))<=>((~quiet(lucy)|tall(lucy))))&
(![X]:((~tall(X)<~>~calm(X))=>(... | ~wise(susan) | [] | null | 0 |
Everyone who is both curious and not generous is tall. Everyone who is curious or not generous is not brave. Everyone who is rich or not kind is not calm. Everyone who is not creative is either brave or calm. Everyone who is not quiet is both not happy and not quiet. If paul is either not strong or curious then someone... | Alice is kind. | contradiction | (![X]:((curious(X)&~generous(X))=>tall(X)))&
(![X]:((curious(X)|~generous(X))=>~brave(X)))&
(![X]:((rich(X)|~kind(X))=>~calm(X)))&
(![X]:(~creative(X)=>(brave(X)<~>calm(X))))&
(![X]:(~quiet(X)=>(~happy(X)&~quiet(X))))&
(((~strong(paul)<~>curious(paul)))=>(?[X]:((strong(X)|humble(X)))))&
(![X]:(~humble(X)<=>(patient(X)<... | kind(alice) | [
"p4",
"p6",
"p11",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 407912355959557407987333
% SZS output start Proof for 407912355959557407987333
5. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~happy(X0))) [input p4]
7. ! [X0] : (~humble(X0) <=> (patient(X0) <~> ~strong(X0))) [input p6]
12. ! [X0] : ((wise(X0) | kind(X0)) => (~brave(X0) & humble(X0))) [input p... | 0 |
Everyone who is either strong or not quiet is not brave or not wise. Everyone who is patient is either calm or not rich and vice versa. If someone is not kind then someone is rich and vice versa. If susan is funny then alice is not quiet or not strong. If someone is both not kind and not strong then someone is both not... | Susan is funny. | neutral | (![X]:((strong(X)<~>~quiet(X))=>(~brave(X)|~wise(X))))&
(![X]:(patient(X)<=>(calm(X)<~>~rich(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(rich(X))))&
((funny(susan))=>((~quiet(alice)|~strong(alice))))&
((?[X]:((~kind(X)&~strong(X))))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~tall(X)<~>calm(X))=>(brave(X)&happy(X))))&
(((~calm(su... | funny(susan) | [] | null | 0 |
If alice is either not tall or brave then someone is both patient and not old. If someone is either not creative or not quiet then someone is either not wise or quiet. If fred is old or not generous then someone is both not tall and generous. If susan is both not quiet and not strong then fred is either not kind or str... | Mary is happy. | contradiction | (((~tall(alice)<~>brave(alice)))=>(?[X]:((patient(X)&~old(X)))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(((old(fred)|~generous(fred)))=>(?[X]:((~tall(X)&generous(X)))))&
(((~quiet(susan)&~strong(susan)))=>((~kind(fred)<~>strong(fred))))&
(![X]:(rich(X)<=>(~tall(X)<~>old(X))))&
(![X]:((~... | happy(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 373219680676172138808408
% SZS output start Proof for 373219680676172138808408
13. ! [X0] : ((creative(X0) <~> ~creative(X0)) <=> (~happy(X0) & strong(X0))) [input p12]
25. happy(mary) [input hypothesis]
64. ! [X0] : ((((creative(X0) | ~creative(X0)) & (~creative(X0) | creative(X0))) | (h... | 0 |
If paul is strong or curious then john is not curious or not quiet and vice versa.
Everyone who is either calm or not calm is humble and vice versa.
If mary is not creative then susan is not wise.
If john is calm then paul is curious or not quiet.
If lucy is not quiet then someone is both generous and not tall.
Everyon... | Fred is not tall. | neutral | (((strong(paul)|curious(paul)))<=>((~curious(john)|~quiet(john))))&
(![X]:((calm(X)<~>~calm(X))<=>humble(X)))&
((~creative(mary))=>(~wise(susan)))&
((calm(john))=>((curious(paul)|~quiet(paul))))&
((~quiet(lucy))=>(?[X]:((generous(X)&~tall(X)))))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>~curious(X))))&
(![X]:(~humble(X)<... | ~tall(fred) | [] | null | 0 |
Everyone who is either calm or funny is calm and vice versa.
If john is generous or happy then paul is both tall and not kind.
Everyone who is either not patient or strong is either tall or not rich.
Everyone who is both not curious and not strong is patient or not generous and vice versa.
Everyone who is not kind or p... | John is not brave. | contradiction | (![X]:((calm(X)<~>funny(X))<=>calm(X)))&
(((generous(john)|happy(john)))=>((tall(paul)&~kind(paul))))&
(![X]:((~patient(X)<~>strong(X))=>(tall(X)<~>~rich(X))))&
(![X]:((~curious(X)&~strong(X))<=>(patient(X)|~generous(X))))&
(![X]:((~kind(X)|patient(X))<=>(humble(X)|creative(X))))&
(((~kind(lucy)|~old(lucy)))<=>((rich(j... | ~brave(john) | [
"p0",
"p1",
"p3",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3251401142919696306126087
% SZS output start Proof for 3251401142919696306126087
1. ! [X0] : ((calm(X0) <~> funny(X0)) <=> calm(X0)) [input p0]
2. (happy(john) | generous(john)) => (~kind(paul) & tall(paul)) [input p1]
4. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> (~generous(X0) | patient... | 0 |
Everyone who is not humble is strong or calm and vice versa.
Everyone who is not strong or patient is either funny or not calm.
If someone is not kind or not generous then alice is either not kind or calm.
Everyone who is either funny or not strong is curious or not rich.
If someone is both brave and funny then someone... | Mary is calm. | entailment | (![X]:(~humble(X)<=>(strong(X)|calm(X))))&
(![X]:((~strong(X)|patient(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((~kind(alice)<~>calm(alice))))&
(![X]:((funny(X)<~>~strong(X))=>(curious(X)|~rich(X))))&
((?[X]:((brave(X)&funny(X))))=>(?[X]:(kind(X))))&
(![X]:((creative(X)&~calm(X))<=>(strong(X)<~>... | calm(mary) | [
"p0",
"p1",
"p6",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5040431088020946736668276
% SZS output start Proof for 5040431088020946736668276
1. ! [X0] : (~humble(X0) <=> (calm(X0) | strong(X0))) [input p0]
2. ! [X0] : ((patient(X0) | ~strong(X0)) => (funny(X0) <~> ~calm(X0))) [input p1]
7. ! [X0] : (funny(X0) <=> (humble(X0) <~> ~quiet(X0))) [inpu... | 0 |
If alice is humble or creative then mary is either kind or generous and vice versa. Everyone who is not wise is brave and vice versa. Everyone who is generous is both not old and wise. Everyone who is not tall or rich is either not happy or not generous. If paul is not curious then someone is either not humble or creat... | Susan is wise. | entailment | (((humble(alice)|creative(alice)))<=>((kind(mary)<~>generous(mary))))&
(![X]:(~wise(X)<=>brave(X)))&
(![X]:(generous(X)=>(~old(X)&wise(X))))&
(![X]:((~tall(X)|rich(X))=>(~happy(X)<~>~generous(X))))&
((~curious(paul))<=>(?[X]:((~humble(X)<~>creative(X)))))&
(((~curious(alice)|~happy(alice)))<=>(?[X]:((strong(X)|~strong(... | wise(susan) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1482286184980040909872842
% SZS output start Proof for 1482286184980040909872842
3. ! [X0] : (generous(X0) => (wise(X0) & ~old(X0))) [input p2]
21. generous(susan) & ~calm(susan) [input p20]
25. ~wise(susan) [input hypothesis]
26. ! [X0] : ((wise(X0) & ~old(X0)) | ~generous(X0)) [ennf tra... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is humble and vice versa. Everyone who is not kind or rich is kind or not humble. Everyone who is either not curious or funny is curious or not funny. Everyone who is either brave or creative is rich or not creative. If someo... | Lucy is calm. | neutral | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((~kind(X)|rich(X))=>(kind(X)|~humble(X))))&
(![X]:((~curious(X)<~>funny(X))=>(curious(X)|~funny(X))))&
(![X]:((brave(X)<~>creative(X))=>(rich(X)|~creative(X))))&
((?[X]:((kind(X)&strong(X))))<=>((creative(fred)&rich(fred... | calm(lucy) | [] | null | 0 |
Everyone who is either generous or quiet is either creative or kind and vice versa.
Everyone who is humble is not calm or not kind.
Everyone who is not brave is not kind or creative and vice versa.
Everyone who is either not generous or not tall is calm or not wise.
If someone is not generous or quiet then someone is n... | Lucy is generous. | neutral | (![X]:((generous(X)<~>quiet(X))<=>(creative(X)<~>kind(X))))&
(![X]:(humble(X)=>(~calm(X)|~kind(X))))&
(![X]:(~brave(X)<=>(~kind(X)|creative(X))))&
(![X]:((~generous(X)<~>~tall(X))=>(calm(X)|~wise(X))))&
((?[X]:((~generous(X)|quiet(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)&~wise(X))=>old(X)))&
((?[X]:(funny(X)))=>... | generous(lucy) | [] | null | 0 |
Everyone who is both not creative and patient is both not brave and curious and vice versa.
If mary is not strong then someone is quiet and vice versa.
Everyone who is not generous or not patient is either patient or generous.
If someone is not kind then someone is both patient and humble.
If someone is not curious the... | Susan is strong. | entailment | (![X]:((~creative(X)&patient(X))<=>(~brave(X)&curious(X))))&
((~strong(mary))<=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)|~patient(X))=>(patient(X)<~>generous(X))))&
((?[X]:(~kind(X)))=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((calm(X)|~humble(X)))))&
(((~strong(susan)&~generous(susan)))<=>((~ric... | strong(susan) | [
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2894249485869457736421054
% SZS output start Proof for 2894249485869457736421054
7. ! [X0] : ((quiet(X0) | old(X0)) <=> (rich(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (rich(X0) <~> old(X0))) [input p10]
22. old(susan) [input p21]
25. ~strong(susan) [input ... | 0 |
Everyone who is tall or not brave is either not tall or not old.
If john is both not generous and quiet then someone is patient or tall and vice versa.
If susan is either not kind or tall then susan is tall or not quiet and vice versa.
Everyone who is either not calm or not happy is either humble or kind.
Everyone who ... | Susan is not kind. | contradiction | (![X]:((tall(X)|~brave(X))=>(~tall(X)<~>~old(X))))&
(((~generous(john)&quiet(john)))<=>(?[X]:((patient(X)|tall(X)))))&
(((~kind(susan)<~>tall(susan)))<=>((tall(susan)|~quiet(susan))))&
(![X]:((~calm(X)<~>~happy(X))=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(strong(X)|curious(X))))&
((?[X]:(~quiet(X)))<=>((rich(fred)&... | ~kind(susan) | [
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6099439899614279725362120
% SZS output start Proof for 6099439899614279725362120
3. (~kind(susan) <~> tall(susan)) <=> (~quiet(susan) | tall(susan)) [input p2]
6. ? [X0] : ~quiet(X0) <=> (~patient(fred) & rich(fred)) [input p5]
16. ! [X0] : ((~calm(X0) & patient(X0)) <=> (~happy(X0) | hap... | 0 |
If someone is patient then someone is generous.
Everyone who is not brave or generous is both not kind and not calm and vice versa.
If someone is either generous or kind then susan is not brave and vice versa.
If fred is both rich and not funny then someone is either not generous or quiet and vice versa.
If someone is ... | Fred is generous. | contradiction | ((?[X]:(patient(X)))=>(?[X]:(generous(X))))&
(![X]:((~brave(X)|generous(X))<=>(~kind(X)&~calm(X))))&
((?[X]:((generous(X)<~>kind(X))))<=>(~brave(susan)))&
(((rich(fred)&~funny(fred)))<=>(?[X]:((~generous(X)<~>quiet(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((creative(X)<~>~happy(X)))))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:... | generous(fred) | [
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1670773714715229448570136
% SZS output start Proof for 1670773714715229448570136
2. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~calm(X0) & ~kind(X0))) [input p1]
11. (calm(fred) <~> creative(fred)) <=> (strong(fred) <~> creative(fred)) [input p10]
15. ! [X0] : ((quiet(X0) <~> strong(X0)) ... | 0 |
Everyone who is either wise or rich is not quiet or patient and vice versa.
Everyone who is both not generous and not patient is both humble and happy.
Everyone who is not tall or not brave is either not happy or not curious.
If someone is both old and humble then lucy is not creative and vice versa.
If paul is either ... | Paul is patient. | entailment | (![X]:((wise(X)<~>rich(X))<=>(~quiet(X)|patient(X))))&
(![X]:((~generous(X)&~patient(X))=>(humble(X)&happy(X))))&
(![X]:((~tall(X)|~brave(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((old(X)&humble(X))))<=>(~creative(lucy)))&
(((creative(paul)<~>brave(paul)))<=>(~strong(john)))&
(![X]:((~curious(X)&~generous(X))<=>(humble... | patient(paul) | [
"p0",
"p5",
"p8",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1560479848546820656293810
% SZS output start Proof for 1560479848546820656293810
1. ! [X0] : ((wise(X0) <~> rich(X0)) <=> (patient(X0) | ~quiet(X0))) [input p0]
6. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> (rich(X0) | humble(X0))) [input p5]
9. ! [X0] : ((rich(X0) | ~kind(X0)) => (gene... | 0 |
If susan is either not rich or not calm then paul is either calm or not wise. If someone is wise or not tall then paul is brave. Everyone who is calm is both not humble and humble and vice versa. Everyone who is both not humble and humble is not tall and vice versa. If mary is curious then someone is not curious or gen... | Susan is not tall. | contradiction | (((~rich(susan)<~>~calm(susan)))=>((calm(paul)<~>~wise(paul))))&
((?[X]:((wise(X)|~tall(X))))=>(brave(paul)))&
(![X]:(calm(X)<=>(~humble(X)&humble(X))))&
(![X]:((~humble(X)&humble(X))<=>~tall(X)))&
((curious(mary))=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((strong(X)|~kind(X))<=>(~kind(X)&strong(X))))&
(![X]:((~gene... | ~tall(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 620865600137199846209981
% SZS output start Proof for 620865600137199846209981
4. ! [X0] : ((humble(X0) & ~humble(X0)) <=> ~tall(X0)) [input p3]
25. ~tall(susan) [input hypothesis]
39. ! [X0] : (((humble(X0) & ~humble(X0)) | tall(X0)) & (~tall(X0) | (~humble(X0) | humble(X0)))) [nnf trans... | 0 |
Everyone who is not patient is old or tall and vice versa. If mary is either strong or not humble then paul is happy. Everyone who is either wise or old is not generous or wise and vice versa. If alice is both kind and not humble then lucy is both not creative and brave. If alice is not patient or not calm then someone... | Fred is curious. | entailment | (![X]:(~patient(X)<=>(old(X)|tall(X))))&
(((strong(mary)<~>~humble(mary)))=>(happy(paul)))&
(![X]:((wise(X)<~>old(X))<=>(~generous(X)|wise(X))))&
(((kind(alice)&~humble(alice)))=>((~creative(lucy)&brave(lucy))))&
(((~patient(alice)|~calm(alice)))=>(?[X]:(~funny(X))))&
((?[X]:((~quiet(X)|strong(X))))=>((~rich(fred)|happ... | curious(fred) | [
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2437614909878051017279782
% SZS output start Proof for 2437614909878051017279782
3. ! [X0] : ((wise(X0) <~> old(X0)) <=> (wise(X0) | ~generous(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~curious(X0)) => old(X0)) [input p7]
15. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (generous(X0) & happy(... | 0 |
Everyone who is both wise and not rich is not strong or generous and vice versa.
Everyone who is either not brave or quiet is kind or rich.
Everyone who is both curious and calm is old and vice versa.
Everyone who is both not quiet and wise is both brave and rich and vice versa.
If john is both not strong and kind then... | John is calm. | entailment | (![X]:((wise(X)&~rich(X))<=>(~strong(X)|generous(X))))&
(![X]:((~brave(X)<~>quiet(X))=>(kind(X)|rich(X))))&
(![X]:((curious(X)&calm(X))<=>old(X)))&
(![X]:((~quiet(X)&wise(X))<=>(brave(X)&rich(X))))&
(((~strong(john)&kind(john)))=>(?[X]:((brave(X)<~>rich(X)))))&
((?[X]:((~wise(X)|funny(X))))=>(?[X]:((~creative(X)|tall(X... | calm(john) | [
"p2",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5463538340629932677909216
% SZS output start Proof for 5463538340629932677909216
3. ! [X0] : ((calm(X0) & curious(X0)) <=> old(X0)) [input p2]
11. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~calm(X0) <~> calm(X0))) [input p10]
16. ? [X0] : (~brave(X0) | ~old(X0)) <=> calm(john) [input p15]
24. ... | 0 |
If paul is happy then fred is both old and rich and vice versa.
Everyone who is not quiet is not kind or not calm.
If someone is quiet then someone is not happy or calm and vice versa.
Everyone who is generous is strong and vice versa.
Everyone who is generous is not strong.
Everyone who is not creative is not wise or ... | John is not creative. | contradiction | ((happy(paul))<=>((old(fred)&rich(fred))))&
(![X]:(~quiet(X)=>(~kind(X)|~calm(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:(generous(X)<=>strong(X)))&
(![X]:(generous(X)=>~strong(X)))&
(![X]:(~creative(X)<=>(~wise(X)|~quiet(X))))&
(![X]:((creative(X)&wise(X))<=>~generous(X)))&
((?[X]:((~strong(X)|~c... | ~creative(john) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 957242440586048634870132
% SZS output start Proof for 957242440586048634870132
4. ! [X0] : (generous(X0) <=> strong(X0)) [input p3]
5. ! [X0] : (generous(X0) => ~strong(X0)) [input p4]
7. ! [X0] : ((wise(X0) & creative(X0)) <=> ~generous(X0)) [input p6]
24. ~creative(john) [input hypothes... | 0 |
Everyone who is either not creative or wise is not quiet and vice versa.
Everyone who is generous is both not happy and not generous and vice versa.
Everyone who is not kind or quiet is creative and vice versa.
If someone is either tall or kind then someone is not brave and vice versa.
Everyone who is tall is not curio... | Lucy is brave. | entailment | (![X]:((~creative(X)<~>wise(X))<=>~quiet(X)))&
(![X]:(generous(X)<=>(~happy(X)&~generous(X))))&
(![X]:((~kind(X)|quiet(X))<=>creative(X)))&
((?[X]:((tall(X)<~>kind(X))))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)=>(~curious(X)|rich(X))))&
((?[X]:((~humble(X)&kind(X))))=>((~strong(mary)|old(mary))))&
(((~brave(john)|curious(... | brave(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7544772481310287584501005
% SZS output start Proof for 7544772481310287584501005
2. ! [X0] : (generous(X0) <=> (~generous(X0) & ~happy(X0))) [input p1]
12. ? [X0] : (~humble(X0) & generous(X0)) <=> ? [X0] : (~brave(X0) | old(X0)) [input p11]
23. ~brave(lucy) [input hypothesis]
25. ? [X0] ... | 0 |
Everyone who is either strong or not creative is either not brave or funny and vice versa. If someone is both brave and funny then alice is funny or not humble and vice versa. Everyone who is not happy or wise is either not calm or not tall and vice versa. If john is both not wise and funny then susan is either not str... | Susan is quiet. | contradiction | (![X]:((strong(X)<~>~creative(X))<=>(~brave(X)<~>funny(X))))&
((?[X]:((brave(X)&funny(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((~happy(X)|wise(X))<=>(~calm(X)<~>~tall(X))))&
(((~wise(john)&funny(john)))<=>((~strong(susan)<~>~kind(susan))))&
((?[X]:((generous(X)|~kind(X))))=>(~brave(susan)))&
(![X]:(brave(X)<=>(... | quiet(susan) | [
"p0",
"p2",
"p4",
"p10",
"p11",
"p12",
"p13",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2604473786041508007562661
% SZS output start Proof for 2604473786041508007562661
1. ! [X0] : ((strong(X0) <~> ~creative(X0)) <=> (~brave(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~happy(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p2]
5. ? [X0] : (~kind(X0) | generous(X0)) => ... | 0 |
Everyone who is not creative or tall is not funny. If someone is both rich and not old then fred is both not creative and not patient and vice versa. Everyone who is either curious or tall is not happy and vice versa. If john is not strong or not kind then fred is both not happy and humble. Everyone who is not humble i... | Fred is patient. | contradiction | (![X]:((~creative(X)|tall(X))=>~funny(X)))&
((?[X]:((rich(X)&~old(X))))<=>((~creative(fred)&~patient(fred))))&
(![X]:((curious(X)<~>tall(X))<=>~happy(X)))&
(((~strong(john)|~kind(john)))=>((~happy(fred)&humble(fred))))&
(![X]:(~humble(X)=>(wise(X)<~>rich(X))))&
(((generous(alice)&humble(alice)))=>(?[X]:((wise(X)|~humbl... | patient(fred) | [
"p1",
"p4",
"p8",
"p10",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8674215243719732779730951
% SZS output start Proof for 8674215243719732779730951
2. ? [X0] : (~old(X0) & rich(X0)) <=> (~patient(fred) & ~creative(fred)) [input p1]
5. ! [X0] : (~humble(X0) => (wise(X0) <~> rich(X0))) [input p4]
9. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (~brave(X0) | ~... | 0 |
Everyone who is not patient is either humble or not quiet. If fred is both generous and not wise then fred is wise or not old and vice versa. Everyone who is both not kind and quiet is not creative. If someone is not tall or calm then someone is not quiet and vice versa. Everyone who is both not happy and calm is eithe... | Lucy is not calm. | entailment | (![X]:(~patient(X)=>(humble(X)<~>~quiet(X))))&
(((generous(fred)&~wise(fred)))<=>((wise(fred)|~old(fred))))&
(![X]:((~kind(X)&quiet(X))=>~creative(X)))&
((?[X]:((~tall(X)|calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&calm(X))<=>(patient(X)<~>generous(X))))&
(![X]:((curious(X)|~creative(X))<=>(~kind(X)|kind(X))))&... | ~calm(lucy) | [
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4806372178995708677908690
% SZS output start Proof for 4806372178995708677908690
7. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => (funny(X0) <~> ~wise(X0))) [input p6]
13. ! [X0] : (calm(X0) => (patient(X0) & kind(X0))) [input p12]
14. ! [X0] : ((kind(X0) | old(X0)) <=> (wise(X0) <~> funny(X0))... | 0 |
If someone is both strong and not quiet then mary is both not brave and not tall and vice versa.
If someone is not brave or humble then alice is not patient or not rich and vice versa.
Everyone who is not humble is kind.
If susan is not humble then someone is not tall.
Everyone who is both curious and not tall is eithe... | Paul is not rich. | contradiction | ((?[X]:((strong(X)&~quiet(X))))<=>((~brave(mary)&~tall(mary))))&
((?[X]:((~brave(X)|humble(X))))<=>((~patient(alice)|~rich(alice))))&
(![X]:(~humble(X)=>kind(X)))&
((~humble(susan))=>(?[X]:(~tall(X))))&
(![X]:((curious(X)&~tall(X))<=>(~generous(X)<~>strong(X))))&
(![X]:((~creative(X)|~strong(X))=>(~kind(X)|~humble(X)))... | ~rich(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 257854507995879865579961
% SZS output start Proof for 257854507995879865579961
20. rich(paul) & ~curious(paul) [input p19]
25. ~rich(paul) [input hypothesis]
137. rich(paul) [cnf transformation 20]
144. ~rich(paul) [cnf transformation 25]
318. $false [subsumption resolution 144,137]
% SZS... | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Susan is tall. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | tall(susan) | [] | null | 0 |
Everyone who is old or wise is kind or brave. If someone is either not rich or funny then fred is either creative or humble. Everyone who is quiet is either not rich or not kind. Everyone who is not funny is both patient and not humble and vice versa. Everyone who is both not old and kind is both not rich and not humbl... | John is not kind. | neutral | (![X]:((old(X)|wise(X))=>(kind(X)|brave(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>((creative(fred)<~>humble(fred))))&
(![X]:(quiet(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(~funny(X)<=>(patient(X)&~humble(X))))&
(![X]:((~old(X)&kind(X))=>(~rich(X)&~humble(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]:((... | ~kind(john) | [] | null | 0 |
Everyone who is both not tall and kind is either not creative or calm and vice versa.
If mary is both not brave and old then mary is either not old or rich.
Everyone who is not kind is either not creative or patient.
Everyone who is not old is either not funny or not happy and vice versa.
Everyone who is either calm or... | Fred is not patient. | neutral | (![X]:((~tall(X)&kind(X))<=>(~creative(X)<~>calm(X))))&
(((~brave(mary)&old(mary)))=>((~old(mary)<~>rich(mary))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)<=>(~funny(X)<~>~happy(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(happy(X)<~>generous(X))))&
(![X]:(humble(X)<=>(patient(X)<~>~rich(X))))&
((?[X]:(... | ~patient(fred) | [] | null | 0 |
If someone is either tall or not brave then someone is both creative and not humble and vice versa.
Everyone who is both quiet and wise is both not calm and not quiet.
Everyone who is either rich or old is not tall or old.
Everyone who is not happy is strong and vice versa.
Everyone who is not brave or not calm is both... | Paul is not wise. | neutral | ((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((quiet(X)&wise(X))=>(~calm(X)&~quiet(X))))&
(![X]:((rich(X)<~>old(X))=>(~tall(X)|old(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(![X]:((~brave(X)|~calm(X))<=>(~kind(X)&~patient(X))))&
(![X]:((strong(X)|happy(X))<=>~strong(X)))&
(((old(paul)|kind(p... | ~wise(paul) | [] | null | 0 |
If mary is not strong then fred is either rich or curious and vice versa.
If mary is old or strong then mary is old or not creative and vice versa.
Everyone who is either not curious or not strong is both not rich and rich.
Everyone who is tall or not humble is humble or old.
Everyone who is not funny or not humble is ... | Mary is wise. | entailment | ((~strong(mary))<=>((rich(fred)<~>curious(fred))))&
(((old(mary)|strong(mary)))<=>((old(mary)|~creative(mary))))&
(![X]:((~curious(X)<~>~strong(X))=>(~rich(X)&rich(X))))&
(![X]:((tall(X)|~humble(X))=>(humble(X)|old(X))))&
(![X]:((~funny(X)|~humble(X))<=>(~kind(X)|~calm(X))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>((~funny... | wise(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3484998714623446119930609
% SZS output start Proof for 3484998714623446119930609
9. ! [X0] : (wise(X0) <=> (~patient(X0) | ~wise(X0))) [input p8]
24. ~wise(mary) [input hypothesis]
50. ! [X0] : ((wise(X0) | (patient(X0) & wise(X0))) & ((~patient(X0) | ~wise(X0)) | ~wise(X0))) [nnf transfo... | 0 |
If someone is both not happy and rich then susan is either strong or not tall. If someone is not quiet then someone is curious or not tall and vice versa. Everyone who is both not kind and not old is rich or not old and vice versa. If someone is not happy then someone is both funny and strong and vice versa. Everyone w... | John is kind. | contradiction | ((?[X]:((~happy(X)&rich(X))))=>((strong(susan)<~>~tall(susan))))&
((?[X]:(~quiet(X)))<=>(?[X]:((curious(X)|~tall(X)))))&
(![X]:((~kind(X)&~old(X))<=>(rich(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((funny(X)&strong(X)))))&
(![X]:((rich(X)&~old(X))=>(~funny(X)<~>brave(X))))&
(![X]:((kind(X)<~>~kind(X))<=>(brave(X)<~>cr... | kind(john) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 767311223796866260236365
% SZS output start Proof for 767311223796866260236365
3. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (~old(X0) | rich(X0))) [input p2]
7. ? [X0] : (~rich(X0) | quiet(X0)) <=> (happy(john) <~> ~strong(john)) [input p6]
15. ! [X0] : (~happy(X0) <=> (strong(X0) | ~kind(X0))... | 0 |
If john is not patient then susan is patient or not strong. Everyone who is not tall is funny and vice versa. Everyone who is both curious and not kind is either not strong or not quiet. Everyone who is funny is both not brave and not happy. If lucy is either not quiet or calm then john is not creative. Everyone who is... | Lucy is wise. | contradiction | ((~patient(john))=>((patient(susan)|~strong(susan))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((curious(X)&~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:(funny(X)=>(~brave(X)&~happy(X))))&
(((~quiet(lucy)<~>calm(lucy)))=>(~creative(john)))&
(![X]:((~funny(X)&~wise(X))<=>(tall(X)&quiet(X))))&
((~curious(alice))=>(?[X]:((~ca... | wise(lucy) | [
"p1",
"p3",
"p5",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2713156421130471503733778
% SZS output start Proof for 2713156421130471503733778
2. ! [X0] : (~tall(X0) <=> funny(X0)) [input p1]
4. ! [X0] : (funny(X0) => (~happy(X0) & ~brave(X0))) [input p3]
6. ! [X0] : ((~wise(X0) & ~funny(X0)) <=> (quiet(X0) & tall(X0))) [input p5]
12. ! [X0] : (~cal... | 0 |
Everyone who is either not wise or not generous is either old or not old and vice versa.
If someone is both curious and funny then fred is either humble or calm and vice versa.
If fred is both happy and creative then alice is both brave and not creative and vice versa.
Everyone who is creative is not tall or humble and... | Susan is not generous. | neutral | (![X]:((~wise(X)<~>~generous(X))<=>(old(X)<~>~old(X))))&
((?[X]:((curious(X)&funny(X))))<=>((humble(fred)<~>calm(fred))))&
(((happy(fred)&creative(fred)))<=>((brave(alice)&~creative(alice))))&
(![X]:(creative(X)<=>(~tall(X)|humble(X))))&
(![X]:((kind(X)<~>quiet(X))=>patient(X)))&
((?[X]:((~happy(X)|~patient(X))))=>((~q... | ~generous(susan) | [] | null | 0 |
If someone is old then mary is either not kind or not curious. Everyone who is tall is calm and vice versa. Everyone who is funny is either kind or humble and vice versa. Everyone who is wise is both happy and old. If someone is both not creative and not generous then someone is both not tall and strong. Everyone who i... | Mary is not calm. | neutral | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(kind(X)<~>humble(X))))&
(![X]:(wise(X)=>(happy(X)&old(X))))&
((?[X]:((~creative(X)&~generous(X))))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X)... | ~calm(mary) | [] | null | 0 |
Everyone who is not rich or not calm is patient and vice versa. Everyone who is not tall is both calm and not rich. If someone is both not happy and brave then someone is old and vice versa. Everyone who is quiet or generous is calm or humble and vice versa. Everyone who is patient or happy is not generous and vice ver... | Paul is not kind. | contradiction | (![X]:((~rich(X)|~calm(X))<=>patient(X)))&
(![X]:(~tall(X)=>(calm(X)&~rich(X))))&
((?[X]:((~happy(X)&brave(X))))<=>(?[X]:(old(X))))&
(![X]:((quiet(X)|generous(X))<=>(calm(X)|humble(X))))&
(![X]:((patient(X)|happy(X))<=>~generous(X)))&
(((~kind(alice)&~curious(alice)))<=>(?[X]:((~tall(X)<~>~rich(X)))))&
((?[X]:(kind(X))... | ~kind(paul) | [
"p4",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8916637420671536134161245
% SZS output start Proof for 8916637420671536134161245
5. ! [X0] : ((happy(X0) | patient(X0)) <=> ~generous(X0)) [input p4]
11. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> kind(X0)) [input p10]
22. generous(paul) [input p21]
25. ~kind(paul) [input hypothesis]
45. !... | 0 |
If someone is either not happy or calm then someone is not wise and vice versa.
If alice is curious then someone is either not calm or not wise and vice versa.
If john is rich then fred is both curious and old and vice versa.
If someone is not generous then fred is not funny or not brave and vice versa.
Everyone who is... | John is not strong. | entailment | ((?[X]:((~happy(X)<~>calm(X))))<=>(?[X]:(~wise(X))))&
((curious(alice))<=>(?[X]:((~calm(X)<~>~wise(X)))))&
((rich(john))<=>((curious(fred)&old(fred))))&
((?[X]:(~generous(X)))<=>((~funny(fred)|~brave(fred))))&
(![X]:((~old(X)|brave(X))=>(~calm(X)&calm(X))))&
(![X]:((curious(X)|~wise(X))<=>(rich(X)&happy(X))))&
(![X]:((... | ~strong(john) | [
"p4",
"p5",
"p6",
"p11",
"p13",
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 247876952194857059341508
% SZS output start Proof for 247876952194857059341508
5. ! [X0] : ((brave(X0) | ~old(X0)) => (calm(X0) & ~calm(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | curious(X0)) <=> (happy(X0) & rich(X0))) [input p5]
7. ! [X0] : ((~happy(X0) <~> creative(X0)) => (~strong(X0)... | 0 |
Everyone who is not strong is either not generous or curious. Everyone who is both rich and quiet is either not calm or tall and vice versa. Everyone who is not generous or not happy is not happy and vice versa. If lucy is both not creative and not funny then someone is strong or rich. If someone is not rich or tall th... | Alice is patient. | contradiction | (![X]:(~strong(X)=>(~generous(X)<~>curious(X))))&
(![X]:((rich(X)&quiet(X))<=>(~calm(X)<~>tall(X))))&
(![X]:((~generous(X)|~happy(X))<=>~happy(X)))&
(((~creative(lucy)&~funny(lucy)))=>(?[X]:((strong(X)|rich(X)))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((~old(X)&~rich(X))<=>(~tall(X)|creati... | patient(alice) | [
"p6",
"p8",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1231716774045199336879338
% SZS output start Proof for 1231716774045199336879338
7. ! [X0] : ((old(X0) | ~strong(X0)) <=> (funny(X0) <~> happy(X0))) [input p6]
9. ! [X0] : ((~generous(X0) | ~wise(X0)) => (~funny(X0) & rich(X0))) [input p8]
12. ! [X0] : (~wise(X0) <=> (~old(X0) | ~happy(X0... | 0 |
Everyone who is not happy is either not tall or patient and vice versa.
Everyone who is not funny or tall is both not patient and happy.
If lucy is not tall then john is strong and vice versa.
Everyone who is not strong or strong is either not curious or brave.
Everyone who is both not curious and funny is both quiet a... | Mary is not humble. | contradiction | (![X]:(~happy(X)<=>(~tall(X)<~>patient(X))))&
(![X]:((~funny(X)|tall(X))=>(~patient(X)&happy(X))))&
((~tall(lucy))<=>(strong(john)))&
(![X]:((~strong(X)|strong(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~curious(X)&funny(X))<=>(quiet(X)&~tall(X))))&
(![X]:((calm(X)&~calm(X))<=>(patient(X)<~>~calm(X))))&
(![X]:((~quiet(X)... | ~humble(mary) | [
"p0",
"p1",
"p4",
"p7",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7479701475075772712284508
% SZS output start Proof for 7479701475075772712284508
1. ! [X0] : (~happy(X0) <=> (~tall(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((tall(X0) | ~funny(X0)) => (happy(X0) & ~patient(X0))) [input p1]
5. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (~tall(X0) & quie... | 0 |
Everyone who is both not humble and not generous is generous or patient.
Everyone who is not old or brave is either not old or not kind.
If alice is curious or creative then alice is either not rich or old and vice versa.
Everyone who is either not rich or not curious is funny.
Everyone who is patient is not calm or ki... | John is brave. | contradiction | (![X]:((~humble(X)&~generous(X))=>(generous(X)|patient(X))))&
(![X]:((~old(X)|brave(X))=>(~old(X)<~>~kind(X))))&
(((curious(alice)|creative(alice)))<=>((~rich(alice)<~>old(alice))))&
(![X]:((~rich(X)<~>~curious(X))=>funny(X)))&
(![X]:(patient(X)<=>(~calm(X)|kind(X))))&
(![X]:((creative(X)|~old(X))<=>(old(X)|quiet(X))))... | brave(john) | [
"p1",
"p5",
"p7",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5783298319209068412393476
% SZS output start Proof for 5783298319209068412393476
2. ! [X0] : ((brave(X0) | ~old(X0)) => (~old(X0) <~> ~kind(X0))) [input p1]
6. ! [X0] : ((~old(X0) | creative(X0)) <=> (quiet(X0) | old(X0))) [input p5]
8. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> kind(X0)) [in... | 0 |
If someone is either generous or not patient then alice is both not tall and not wise and vice versa.
Everyone who is both not curious and kind is not quiet.
If fred is not patient or not brave then alice is both not patient and curious and vice versa.
Everyone who is either not kind or not funny is either curious or n... | Alice is not generous. | neutral | ((?[X]:((generous(X)<~>~patient(X))))<=>((~tall(alice)&~wise(alice))))&
(![X]:((~curious(X)&kind(X))=>~quiet(X)))&
(((~patient(fred)|~brave(fred)))<=>((~patient(alice)&curious(alice))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>(~tall(susan)))&
((?[X]:((~generous(X... | ~generous(alice) | [] | null | 0 |
Everyone who is both not happy and quiet is both not tall and curious. Everyone who is rich or tall is not brave. Everyone who is generous is old and vice versa. Everyone who is not brave is not old or not happy. If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or ... | Alice is generous. | contradiction | (![X]:((~happy(X)&quiet(X))=>(~tall(X)&curious(X))))&
(![X]:((rich(X)|tall(X))=>~brave(X)))&
(![X]:(generous(X)<=>old(X)))&
(![X]:(~brave(X)=>(~old(X)|~happy(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)... | generous(alice) | [
"p1",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3181952573929692676920489
% SZS output start Proof for 3181952573929692676920489
2. ! [X0] : ((tall(X0) | rich(X0)) => ~brave(X0)) [input p1]
8. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (~tall(X0) & brave(X0)) [input p7]
9. ! [X0] : ((~tall(X0) | generous(X0)) => (~calm(X0) & brave... | 0 |
Everyone who is not curious is both not curious and not calm. Everyone who is both not brave and not rich is both creative and not old. Everyone who is both kind and not happy is happy or not rich. Everyone who is both not funny and funny is not quiet and vice versa. Everyone who is either calm or not happy is not calm... | Alice is curious. | neutral | (![X]:(~curious(X)=>(~curious(X)&~calm(X))))&
(![X]:((~brave(X)&~rich(X))=>(creative(X)&~old(X))))&
(![X]:((kind(X)&~happy(X))=>(happy(X)|~rich(X))))&
(![X]:((~funny(X)&funny(X))<=>~quiet(X)))&
(![X]:((calm(X)<~>~happy(X))<=>(~calm(X)|calm(X))))&
((?[X]:((calm(X)&rich(X))))<=>(~creative(john)))&
((?[X]:((~creative(X)<~... | curious(alice) | [] | null | 0 |
Everyone who is either not happy or brave is not happy or quiet and vice versa. Everyone who is not strong or brave is both not quiet and not happy and vice versa. Everyone who is either not wise or calm is both generous and tall and vice versa. Everyone who is not curious is not wise or not humble. If someone is eithe... | Alice is happy. | contradiction | (![X]:((~happy(X)<~>brave(X))<=>(~happy(X)|quiet(X))))&
(![X]:((~strong(X)|brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(generous(X)&tall(X))))&
(![X]:(~curious(X)=>(~wise(X)|~humble(X))))&
((?[X]:((~generous(X)<~>funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:(strong(X)))<=>((brave(alice)&strong(alice)... | happy(alice) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1504888703395590421256865
% SZS output start Proof for 1504888703395590421256865
1. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (quiet(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~strong(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ? [X0] : strong(X0) <=> (strong(alice) & br... | 0 |
Everyone who is not kind is not happy and vice versa.
Everyone who is old is either not brave or strong and vice versa.
If someone is either not strong or quiet then someone is either calm or rich and vice versa.
If someone is both patient and not happy then someone is humble.
If alice is both rich and not generous the... | Mary is not old. | neutral | (![X]:(~kind(X)<=>~happy(X)))&
(![X]:(old(X)<=>(~brave(X)<~>strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>rich(X)))))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:(humble(X))))&
(((rich(alice)&~generous(alice)))=>(?[X]:(kind(X))))&
(![X]:(~creative(X)<=>(~creative(X)&brave(X))))&
(![X]:((creative(X)&~... | ~old(mary) | [] | null | 0 |
Everyone who is both tall and not strong is wise and vice versa.
Everyone who is funny or not old is not generous or funny and vice versa.
Everyone who is either generous or strong is either not funny or not strong and vice versa.
If someone is either not kind or humble then someone is not humble or kind and vice versa... | Mary is not brave. | neutral | (![X]:((tall(X)&~strong(X))<=>wise(X)))&
(![X]:((funny(X)|~old(X))<=>(~generous(X)|funny(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~funny(X)<~>~strong(X))))&
((?[X]:((~kind(X)<~>humble(X))))<=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((~tall(X)&~rich(X))<=>(~calm(X)|funny(X))))&
(![X]:((humble(X)|rich(X))=>(~funny(X)&str... | ~brave(mary) | [] | null | 0 |
If fred is both not tall and old then someone is not creative and vice versa.
If someone is not rich or not strong then someone is not tall and vice versa.
Everyone who is either not happy or funny is either wise or rich.
Everyone who is either curious or not tall is creative.
If someone is wise or not tall then fred i... | Lucy is not generous. | entailment | (((~tall(fred)&old(fred)))<=>(?[X]:(~creative(X))))&
((?[X]:((~rich(X)|~strong(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~happy(X)<~>funny(X))=>(wise(X)<~>rich(X))))&
(![X]:((curious(X)<~>~tall(X))=>creative(X)))&
((?[X]:((wise(X)|~tall(X))))=>((happy(fred)<~>~old(fred))))&
(((patient(john)&quiet(john)))<=>(?[X]:((quiet(X)&~... | ~generous(lucy) | [
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5245404857093126968520567
% SZS output start Proof for 5245404857093126968520567
14. ! [X0] : ((tall(X0) | funny(X0)) <=> patient(X0)) [input p13]
16. ! [X0] : ((~calm(X0) | generous(X0)) <=> (strong(X0) & funny(X0))) [input p15]
22. ~patient(lucy) & creative(lucy) [input p21]
25. generou... | 0 |
If fred is calm then susan is either not humble or quiet and vice versa.
Everyone who is happy is both old and happy.
Everyone who is not tall or not strong is not strong or not quiet and vice versa.
If someone is both patient and generous then someone is not rich.
If susan is both not generous and quiet then lucy is n... | Mary is not tall. | entailment | ((calm(fred))<=>((~humble(susan)<~>quiet(susan))))&
(![X]:(happy(X)=>(old(X)&happy(X))))&
(![X]:((~tall(X)|~strong(X))<=>(~strong(X)|~quiet(X))))&
((?[X]:((patient(X)&generous(X))))=>(?[X]:(~rich(X))))&
(((~generous(susan)&quiet(susan)))<=>(~patient(lucy)))&
(![X]:((strong(X)|tall(X))<=>(~kind(X)|kind(X))))&
(![X]:((fu... | ~tall(mary) | [
"p2",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8414185782884904017475421
% SZS output start Proof for 8414185782884904017475421
3. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (~quiet(X0) | ~strong(X0))) [input p2]
13. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (~quiet(X0) | ~kind(X0))) [input p12]
14. ! [X0] : (strong(X0) <=> (wise(X0) | gener... | 0 |
Everyone who is not happy or wise is not rich or funny.
If someone is both humble and not calm then lucy is strong.
If fred is not brave then someone is old or not generous.
If someone is either quiet or calm then lucy is not quiet and vice versa.
If someone is either curious or tall then alice is either funny or quiet... | Susan is calm. | contradiction | (![X]:((~happy(X)|wise(X))=>(~rich(X)|funny(X))))&
((?[X]:((humble(X)&~calm(X))))=>(strong(lucy)))&
((~brave(fred))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(~quiet(lucy)))&
((?[X]:((curious(X)<~>tall(X))))=>((funny(alice)<~>quiet(alice))))&
(((~creative(susan)|~tall(susan)))=>(~humble(alice))... | calm(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2426554587923430308185591
% SZS output start Proof for 2426554587923430308185591
14. ! [X0] : ((~calm(X0) & humble(X0)) <=> calm(X0)) [input p13]
22. calm(susan) [input hypothesis]
54. ! [X0] : (((~calm(X0) & humble(X0)) | ~calm(X0)) & (calm(X0) | (calm(X0) | ~humble(X0)))) [nnf transform... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or rich. Everyone who is not creative is not rich and vice versa. Everyone who is both old and not kind is wise and vice versa. If susan is both funny and not patient then fred is either not b... | Paul is rich. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&~kind(X))<=>wise(X)))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))... | rich(paul) | [
"p2",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2337285431670464629388479
% SZS output start Proof for 2337285431670464629388479
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
10. (~wise(paul) & ~calm(paul)) <=> ? [X0] : (generous(X0) | happy(X0)) [input p9]
13. ! [X0] : ((~creative(X0) | generous(X0)) <=> (generous(X0) & ~humble... | 0 |
If someone is not funny then someone is not creative or not brave and vice versa. Everyone who is generous is calm or strong and vice versa. If lucy is not tall then someone is not brave or kind. Everyone who is tall or not brave is not kind or not humble and vice versa. Everyone who is not humble is not quiet or not s... | John is creative. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(generous(X)<=>(calm(X)|strong(X))))&
((~tall(lucy))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((tall(X)|~brave(X))<=>(~kind(X)|~humble(X))))&
(![X]:(~humble(X)<=>(~quiet(X)|~strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>((quiet(john)<~>patient(john))))&
((... | creative(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5788728005330116613639499
% SZS output start Proof for 5788728005330116613639499
9. ! [X0] : (creative(X0) <=> (~creative(X0) & ~happy(X0))) [input p8]
22. creative(john) [input hypothesis]
51. ! [X0] : ((creative(X0) | (creative(X0) | happy(X0))) & ((~creative(X0) & ~happy(X0)) | ~creati... | 0 |
Everyone who is not wise is either not strong or kind and vice versa.
Everyone who is both not kind and not rich is not strong.
Everyone who is both tall and calm is not tall and vice versa.
Everyone who is both patient and not humble is generous.
If john is both funny and not rich then fred is not happy.
If someone is... | Fred is happy. | contradiction | (![X]:(~wise(X)<=>(~strong(X)<~>kind(X))))&
(![X]:((~kind(X)&~rich(X))=>~strong(X)))&
(![X]:((tall(X)&calm(X))<=>~tall(X)))&
(![X]:((patient(X)&~humble(X))=>generous(X)))&
(((funny(john)&~rich(john)))=>(~happy(fred)))&
((?[X]:((funny(X)<~>~rich(X))))=>((brave(lucy)|~old(lucy))))&
((?[X]:((~generous(X)<~>happy(X))))=>(?... | happy(fred) | [
"p2",
"p6",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3329286089420994144534818
% SZS output start Proof for 3329286089420994144534818
3. ! [X0] : ((calm(X0) & tall(X0)) <=> ~tall(X0)) [input p2]
7. ? [X0] : (~generous(X0) <~> happy(X0)) => ? [X0] : (~humble(X0) & ~creative(X0)) [input p6]
9. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (~happy(... | 0 |
If fred is both happy and not funny then someone is not funny or rich and vice versa. Everyone who is either creative or not strong is both not humble and not funny and vice versa. Everyone who is quiet or not tall is kind or patient. If someone is both not generous and wise then paul is not tall. Everyone who is not o... | Alice is wise. | entailment | (((happy(fred)&~funny(fred)))<=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:((creative(X)<~>~strong(X))<=>(~humble(X)&~funny(X))))&
(![X]:((quiet(X)|~tall(X))=>(kind(X)|patient(X))))&
((?[X]:((~generous(X)&wise(X))))=>(~tall(paul)))&
(![X]:((~old(X)|generous(X))=>~quiet(X)))&
(![X]:((wise(X)&calm(X))<=>(~generous(X)|humble(X)... | wise(alice) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3463641801858093382981430
% SZS output start Proof for 3463641801858093382981430
6. ! [X0] : ((calm(X0) & wise(X0)) <=> (humble(X0) | ~generous(X0))) [input p5]
23. curious(alice) & ~generous(alice) [input p22]
25. ~wise(alice) [input hypothesis]
46. ! [X0] : (((calm(X0) & wise(X0)) | (~h... | 0 |
If someone is either not rich or not strong then someone is both not rich and generous and vice versa.
Everyone who is rich is curious or old.
Everyone who is not generous or not kind is either not strong or not calm and vice versa.
Everyone who is either calm or tall is tall or quiet and vice versa.
Everyone who is bo... | Mary is not wise. | contradiction | ((?[X]:((~rich(X)<~>~strong(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(![X]:(rich(X)=>(curious(X)|old(X))))&
(![X]:((~generous(X)|~kind(X))<=>(~strong(X)<~>~calm(X))))&
(![X]:((calm(X)<~>tall(X))<=>(tall(X)|quiet(X))))&
(![X]:((funny(X)&~strong(X))<=>happy(X)))&
((~quiet(john))<=>(?[X]:((funny(X)&~rich(X)))))&
(![X]:((... | ~wise(mary) | [
"p2",
"p4",
"p6",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5644830398242632128645414
% SZS output start Proof for 5644830398242632128645414
3. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (~strong(X0) <~> ~calm(X0))) [input p2]
5. ! [X0] : ((~strong(X0) & funny(X0)) <=> happy(X0)) [input p4]
7. ! [X0] : ((happy(X0) & ~old(X0)) => (strong(X0) <~> qui... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is both not patient and not tall is not funny or old and vice versa.
If someone is brave or strong then paul is either not calm or not quiet and vice versa.
Everyone who is either old or humble is both brave and not patient.
Everyone who is humble ... | Fred is not brave. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((~patient(X)&~tall(X))<=>(~funny(X)|old(X))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~patient(X))))&
(![X]:(humble(X)=>(~calm(X)|wise(X))))&
(![X]:(brave(X)<=>(~quiet(X)<~>~creative(X))))&
(((~cr... | ~brave(fred) | [] | null | 0 |
Everyone who is not quiet is not creative.
Everyone who is either not brave or rich is both not curious and calm.
If someone is either not curious or not tall then someone is both kind and not calm and vice versa.
If susan is not kind or not happy then someone is both humble and not humble.
Everyone who is old is not c... | John is not funny. | contradiction | (![X]:(~quiet(X)=>~creative(X)))&
(![X]:((~brave(X)<~>rich(X))=>(~curious(X)&calm(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(((~kind(susan)|~happy(susan)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:(old(X)<=>~calm(X)))&
(![X]:((funny(X)|~happy(X))<=>~humble(X)))&
(![X]:((~happy(X)|creativ... | ~funny(john) | [
"p4",
"p5",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6310494905034479249652442
% SZS output start Proof for 6310494905034479249652442
5. ! [X0] : (old(X0) <=> ~calm(X0)) [input p4]
6. ! [X0] : ((~happy(X0) | funny(X0)) <=> ~humble(X0)) [input p5]
7. ! [X0] : ((creative(X0) | ~happy(X0)) <=> (happy(X0) & funny(X0))) [input p6]
11. ! [X0] : (... | 0 |
Everyone who is not kind is both rich and strong.
Everyone who is both not calm and calm is humble or creative and vice versa.
Everyone who is both not funny and not patient is not kind or not patient.
If lucy is both not happy and not patient then someone is quiet or not old and vice versa.
Everyone who is both not ol... | Fred is not funny. | entailment | (![X]:(~kind(X)=>(rich(X)&strong(X))))&
(![X]:((~calm(X)&calm(X))<=>(humble(X)|creative(X))))&
(![X]:((~funny(X)&~patient(X))=>(~kind(X)|~patient(X))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((~old(X)&brave(X))<=>(~funny(X)|happy(X))))&
(((creative(lucy)&~curious(lucy)))=>(?[X]:((~funny... | ~funny(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6706154534213032326689583
% SZS output start Proof for 6706154534213032326689583
7. ! [X0] : ((funny(X0) | ~patient(X0)) => ~funny(X0)) [input p6]
23. funny(fred) [input hypothesis]
29. ! [X0] : (~funny(X0) | (~funny(X0) & patient(X0))) [ennf transformation 7]
93. ~funny(X0) | ~funny(X0) ... | 0 |
Everyone who is either not calm or not patient is generous or calm and vice versa.
Everyone who is brave or tall is both kind and strong and vice versa.
If alice is either not curious or not humble then someone is not old and vice versa.
If someone is not rich or not kind then fred is old.
If someone is kind or tall th... | Lucy is not happy. | neutral | (![X]:((~calm(X)<~>~patient(X))<=>(generous(X)|calm(X))))&
(![X]:((brave(X)|tall(X))<=>(kind(X)&strong(X))))&
(((~curious(alice)<~>~humble(alice)))<=>(?[X]:(~old(X))))&
((?[X]:((~rich(X)|~kind(X))))=>(old(fred)))&
((?[X]:((kind(X)|tall(X))))<=>(~happy(fred)))&
(((brave(fred)&quiet(fred)))=>((~wise(alice)&~strong(alice)... | ~happy(lucy) | [] | null | 0 |
If someone is not creative then someone is both not strong and not wise and vice versa.
Everyone who is both strong and not creative is both not brave and not rich and vice versa.
If someone is both not wise and not kind then mary is not quiet or not wise and vice versa.
Everyone who is not tall is funny and vice versa... | Paul is happy. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((strong(X)&~creative(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~wise(X)&~kind(X))))<=>((~quiet(mary)|~wise(mary))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((curious(X)|~kind(X))=>(tall(X)&~brave(X))))&
(((~brave(lucy)|funny(lucy)))=>((~strong(paul)<~>brave(pau... | happy(paul) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 137374416189420367261331
% SZS output start Proof for 137374416189420367261331
4. ! [X0] : (~tall(X0) <=> funny(X0)) [input p3]
7. ! [X0] : ((wise(X0) <~> ~happy(X0)) => (~funny(X0) & brave(X0))) [input p6]
8. ! [X0] : (tall(X0) <=> (old(X0) & ~tall(X0))) [input p7]
9. ! [X0] : (wise(X0) ... | 0 |
Everyone who is not calm is not curious or not tall and vice versa.
If susan is both not funny and old then someone is not generous.
Everyone who is wise or generous is both tall and not generous.
Everyone who is either tall or brave is old and vice versa.
If lucy is both humble and not humble then someone is not happy... | Susan is not quiet. | entailment | (![X]:(~calm(X)<=>(~curious(X)|~tall(X))))&
(((~funny(susan)&old(susan)))=>(?[X]:(~generous(X))))&
(![X]:((wise(X)|generous(X))=>(tall(X)&~generous(X))))&
(![X]:((tall(X)<~>brave(X))<=>old(X)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:(~happy(X))))&
((?[X]:((generous(X)&~kind(X))))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X... | ~quiet(susan) | [
"p2",
"p3",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 628603297705980194685462
% SZS output start Proof for 628603297705980194685462
3. ! [X0] : ((generous(X0) | wise(X0)) => (~generous(X0) & tall(X0))) [input p2]
4. ! [X0] : ((tall(X0) <~> brave(X0)) <=> old(X0)) [input p3]
5. (~humble(lucy) & humble(lucy)) <=> ? [X0] : ~happy(X0) [input p4... | 0 |
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and vice versa.
If susan is both generous and not rich then fred is ei... | Fred is strong. | contradiction | (![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
... | strong(fred) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4894428678717500461904771
% SZS output start Proof for 4894428678717500461904771
1. ! [X0] : ((calm(X0) <~> brave(X0)) => (~strong(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | ~happy(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> (~rich(X0) & wise(X0))... | 0 |
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