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 either not rich or not strong is either not happy or generous and vice versa.
Everyone who is both generous and humble is both funny and wise.
Everyone who is not strong or not curious is humble.
If john is rich or strong then john is either not curious or not rich and vice versa.
If john is both brave ... | Alice is not humble. | contradiction | (![X]:((~rich(X)<~>~strong(X))<=>(~happy(X)<~>generous(X))))&
(![X]:((generous(X)&humble(X))=>(funny(X)&wise(X))))&
(![X]:((~strong(X)|~curious(X))=>humble(X)))&
(((rich(john)|strong(john)))<=>((~curious(john)<~>~rich(john))))&
(((brave(john)&~funny(john)))=>(~wise(susan)))&
((?[X]:((brave(X)&funny(X))))<=>(?[X]:((~ric... | ~humble(alice) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2647460705679020077557934
% SZS output start Proof for 2647460705679020077557934
3. ! [X0] : ((~curious(X0) | ~strong(X0)) => humble(X0)) [input p2]
14. ! [X0] : (~curious(X0) <=> (creative(X0) | ~humble(X0))) [input p13]
23. ~humble(alice) [input hypothesis]
29. ! [X0] : (humble(X0) | (c... | 0 |
Everyone who is both wise and curious is calm and vice versa.
If susan is happy or not old then alice is both not curious and not quiet.
If someone is both humble and not humble then mary is either not wise or humble and vice versa.
If mary is not quiet or not funny then someone is funny.
If fred is not wise or not gen... | John is strong. | neutral | (![X]:((wise(X)&curious(X))<=>calm(X)))&
(((happy(susan)|~old(susan)))=>((~curious(alice)&~quiet(alice))))&
((?[X]:((humble(X)&~humble(X))))<=>((~wise(mary)<~>humble(mary))))&
(((~quiet(mary)|~funny(mary)))=>(?[X]:(funny(X))))&
(((~wise(fred)|~generous(fred)))=>((strong(mary)<~>~brave(mary))))&
((?[X]:((~calm(X)&~stron... | strong(john) | [] | null | 0 |
If someone is both patient and calm then someone is either not humble or not quiet and vice versa.
Everyone who is not creative is not tall and vice versa.
Everyone who is either strong or not brave is not happy and vice versa.
Everyone who is either not calm or wise is not calm.
Everyone who is rich is both not strong... | Susan is not happy. | neutral | ((?[X]:((patient(X)&calm(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((strong(X)<~>~brave(X))<=>~happy(X)))&
(![X]:((~calm(X)<~>wise(X))=>~calm(X)))&
(![X]:(rich(X)<=>(~strong(X)&happy(X))))&
(![X]:((~old(X)<~>generous(X))<=>wise(X)))&
(((strong(mary)&kind(mary)))=>(?[X]:((happy(... | ~happy(susan) | [] | null | 0 |
Everyone who is curious is kind and vice versa.
If someone is either not rich or creative then someone is kind and vice versa.
Everyone who is either funny or rich is either not curious or creative and vice versa.
Everyone who is both not brave and not kind is either not patient or kind.
Everyone who is either not happ... | Alice is not quiet. | neutral | (![X]:(curious(X)<=>kind(X)))&
((?[X]:((~rich(X)<~>creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(humble(X)|rich(X))))&
(![X]:((kind(X)<~>~old(X))<=>(rich(X)&patient(X))))&
(![X]:((b... | ~quiet(alice) | [] | null | 0 |
Everyone who is both funny and not rich is either funny or tall.
Everyone who is curious is not tall and vice versa.
If someone is either strong or creative then someone is old and vice versa.
Everyone who is not patient or not funny is not creative or not quiet.
Everyone who is quiet or curious is both wise and not ki... | Lucy is not patient. | contradiction | (![X]:((funny(X)&~rich(X))=>(funny(X)<~>tall(X))))&
(![X]:(curious(X)<=>~tall(X)))&
((?[X]:((strong(X)<~>creative(X))))<=>(?[X]:(old(X))))&
(![X]:((~patient(X)|~funny(X))=>(~creative(X)|~quiet(X))))&
(![X]:((quiet(X)|curious(X))=>(wise(X)&~kind(X))))&
((?[X]:((rich(X)|creative(X))))=>(creative(mary)))&
(![X]:(brave(X)=... | ~patient(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8763778961463746043205968
% SZS output start Proof for 8763778961463746043205968
15. ! [X0] : ((~strong(X0) & patient(X0)) <=> ~patient(X0)) [input p14]
23. ~patient(lucy) [input hypothesis]
66. ! [X0] : (((~strong(X0) & patient(X0)) | patient(X0)) & (~patient(X0) | (strong(X0) | ~patient... | 0 |
Everyone who is creative is both humble and brave. If someone is both not strong and old then susan is not creative. Everyone who is not strong or quiet is either curious or old. Everyone who is both old and generous is not kind or not rich and vice versa. If alice is tall then someone is either not generous or not ric... | Fred is not quiet. | neutral | (![X]:(creative(X)=>(humble(X)&brave(X))))&
((?[X]:((~strong(X)&old(X))))=>(~creative(susan)))&
(![X]:((~strong(X)|quiet(X))=>(curious(X)<~>old(X))))&
(![X]:((old(X)&generous(X))<=>(~kind(X)|~rich(X))))&
((tall(alice))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(((funny(fred)&~quiet(fred)))=>((~generous(lucy)<~>~wise(lucy)... | ~quiet(fred) | [] | null | 0 |
If someone is brave then lucy is either not rich or calm.
If someone is not creative then someone is calm or tall and vice versa.
Everyone who is both not quiet and not creative is not generous or not wise and vice versa.
Everyone who is both rich and curious is either not patient or wise and vice versa.
Everyone who i... | John is not patient. | entailment | ((?[X]:(brave(X)))=>((~rich(lucy)<~>calm(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:((~quiet(X)&~creative(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)&curious(X))<=>(~patient(X)<~>wise(X))))&
(![X]:((~kind(X)<~>calm(X))=>(~creative(X)|~kind(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~hu... | ~patient(john) | [
"p2",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2537425803118275452787156
% SZS output start Proof for 2537425803118275452787156
3. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~wise(X0) | ~generous(X0))) [input p2]
4. ! [X0] : ((curious(X0) & rich(X0)) <=> (~patient(X0) <~> wise(X0))) [input p3]
10. (~wise(paul) & happy(paul)) <=> ? [X... | 0 |
If someone is either quiet or brave then someone is both curious and wise and vice versa.
Everyone who is not creative or humble is both strong and not tall and vice versa.
Everyone who is either not strong or brave is curious or generous and vice versa.
If susan is patient or quiet then john is either not humble or no... | Mary is not generous. | entailment | ((?[X]:((quiet(X)<~>brave(X))))<=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((~creative(X)|humble(X))<=>(strong(X)&~tall(X))))&
(![X]:((~strong(X)<~>brave(X))<=>(curious(X)|generous(X))))&
(((patient(susan)|quiet(susan)))=>((~humble(john)<~>~happy(john))))&
(![X]:((~creative(X)|quiet(X))=>(curious(X)&~creative(X))))&
(![X]... | ~generous(mary) | [
"p1",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7719521974199000169398009
% SZS output start Proof for 7719521974199000169398009
2. ! [X0] : ((humble(X0) | ~creative(X0)) <=> (~tall(X0) & strong(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> (generous(X0) | curious(X0))) [input p2]
10. ! [X0] : ((~generous(X0) | strong(X... | 0 |
Everyone who is both brave and humble is both not calm and not wise and vice versa. Everyone who is not humble is curious. Everyone who is not wise or not calm is both wise and not rich. Everyone who is either strong or generous is wise or not curious and vice versa. Everyone who is both wise and not strong is either n... | Lucy is curious. | neutral | (![X]:((brave(X)&humble(X))<=>(~calm(X)&~wise(X))))&
(![X]:(~humble(X)=>curious(X)))&
(![X]:((~wise(X)|~calm(X))=>(wise(X)&~rich(X))))&
(![X]:((strong(X)<~>generous(X))<=>(wise(X)|~curious(X))))&
(![X]:((wise(X)&~strong(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:(tall(X)=>(~patient(X)|~brave(X))))&
((?[X]:(~strong(X)))=>(... | curious(lucy) | [] | null | 0 |
Everyone who is not strong or patient is either not patient or humble.
Everyone who is either generous or strong is not quiet or humble and vice versa.
If someone is rich or happy then mary is not calm or strong.
Everyone who is either kind or not wise is both not humble and calm.
Everyone who is either not old or pati... | John is calm. | neutral | (![X]:((~strong(X)|patient(X))=>(~patient(X)<~>humble(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~quiet(X)|humble(X))))&
((?[X]:((rich(X)|happy(X))))=>((~calm(mary)|strong(mary))))&
(![X]:((kind(X)<~>~wise(X))=>(~humble(X)&calm(X))))&
(![X]:((~old(X)<~>patient(X))<=>~strong(X)))&
((happy(alice))=>((~old(fred)<~>generou... | calm(john) | [] | null | 0 |
If someone is patient or old then john is not funny or happy and vice versa.
Everyone who is both old and not kind is either rich or curious.
Everyone who is tall is not patient or not rich.
If someone is generous then someone is patient.
If someone is tall or not patient then lucy is tall or old.
Everyone who is eithe... | Lucy is humble. | contradiction | ((?[X]:((patient(X)|old(X))))<=>((~funny(john)|happy(john))))&
(![X]:((old(X)&~kind(X))=>(rich(X)<~>curious(X))))&
(![X]:(tall(X)=>(~patient(X)|~rich(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((kind(X)<~>wise(X))<=>(~strong(X)|tall(X))))&
(![X]... | humble(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 902554902357971759629454
% SZS output start Proof for 902554902357971759629454
4. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p3]
6. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (tall(X0) | ~strong(X0))) [input p5]
8. ? [X0] : (~tall(X0) <~> ~wise(X0)) => ? [X0] : (~wise(X0) & generous(... | 0 |
Everyone who is not brave or brave is both not old and calm and vice versa.
If someone is not brave or generous then john is both not generous and not quiet.
If someone is not strong then alice is both not happy and not creative.
If someone is both not tall and rich then someone is both creative and humble.
Everyone wh... | Lucy is not generous. | neutral | (![X]:((~brave(X)|brave(X))<=>(~old(X)&calm(X))))&
((?[X]:((~brave(X)|generous(X))))=>((~generous(john)&~quiet(john))))&
((?[X]:(~strong(X)))=>((~happy(alice)&~creative(alice))))&
((?[X]:((~tall(X)&rich(X))))=>(?[X]:((creative(X)&humble(X)))))&
(![X]:((~kind(X)&quiet(X))<=>(~old(X)<~>rich(X))))&
(((~generous(lucy)<~>~h... | ~generous(lucy) | [] | null | 0 |
If someone is either not old or not generous then lucy is both old and not old and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is both not old and patient then fred is both not strong and curious and vice versa.
Everyone who is either patient or creative is creative or patient and vice versa.
... | Alice is generous. | neutral | ((?[X]:((~old(X)<~>~generous(X))))<=>((old(lucy)&~old(lucy))))&
(![X]:(~wise(X)<=>calm(X)))&
(((~old(alice)&patient(alice)))<=>((~strong(fred)&curious(fred))))&
(![X]:((patient(X)<~>creative(X))<=>(creative(X)|patient(X))))&
(![X]:((~patient(X)|kind(X))=>humble(X)))&
(![X]:(~patient(X)<=>humble(X)))&
(![X]:(~curious(X)... | generous(alice) | [] | null | 0 |
If someone is either old or not kind then john is rich or funny and vice versa.
Everyone who is not brave is not strong or not curious and vice versa.
If fred is not calm or not creative then mary is both wise and not patient and vice versa.
If fred is not funny or kind then someone is both wise and generous and vice v... | John is not quiet. | neutral | ((?[X]:((old(X)<~>~kind(X))))<=>((rich(john)|funny(john))))&
(![X]:(~brave(X)<=>(~strong(X)|~curious(X))))&
(((~calm(fred)|~creative(fred)))<=>((wise(mary)&~patient(mary))))&
(((~funny(fred)|kind(fred)))<=>(?[X]:((wise(X)&generous(X)))))&
((?[X]:((curious(X)|~calm(X))))<=>(?[X]:((brave(X)<~>happy(X)))))&
((?[X]:((~brav... | ~quiet(john) | [] | null | 0 |
If someone is not old then mary is not patient.
If susan is not generous or not funny then paul is not brave or not patient.
Everyone who is both not curious and humble is either humble or creative.
If someone is humble or tall then someone is both wise and not kind.
Everyone who is either not quiet or tall is tall or ... | Susan is not rich. | entailment | ((?[X]:(~old(X)))=>(~patient(mary)))&
(((~generous(susan)|~funny(susan)))=>((~brave(paul)|~patient(paul))))&
(![X]:((~curious(X)&humble(X))=>(humble(X)<~>creative(X))))&
((?[X]:((humble(X)|tall(X))))=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((~quiet(X)<~>tall(X))=>(tall(X)|curious(X))))&
((?[X]:((creative(X)|quiet(X))))=>(... | ~rich(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3112512400222585422480253
% SZS output start Proof for 3112512400222585422480253
9. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) [input p8]
25. rich(susan) [input hypothesis]
38. ! [X0] : (~rich(X0) | (~rich(X0) & ~creative(X0))) [ennf transformation 9]
110. ~rich(X0) | ~rich(X0) [cn... | 0 |
If fred is both not quiet and rich then someone is not patient or not strong and vice versa.
If lucy is curious then susan is both humble and not calm.
Everyone who is both quiet and not rich is calm and vice versa.
If susan is either not strong or wise then someone is either not happy or old and vice versa.
Everyone w... | Lucy is not happy. | neutral | (((~quiet(fred)&rich(fred)))<=>(?[X]:((~patient(X)|~strong(X)))))&
((curious(lucy))=>((humble(susan)&~calm(susan))))&
(![X]:((quiet(X)&~rich(X))<=>calm(X)))&
(((~strong(susan)<~>wise(susan)))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((calm(X)&curious(X))=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>((humble(fred)<~>quiet... | ~happy(lucy) | [] | null | 0 |
Everyone who is creative is not humble or not funny and vice versa.
Everyone who is not curious or quiet is both not curious and quiet and vice versa.
If someone is either humble or not old then someone is not happy or happy.
Everyone who is not funny is generous or funny.
Everyone who is either quiet or not quiet is b... | Fred is generous. | entailment | (![X]:(creative(X)<=>(~humble(X)|~funny(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~curious(X)&quiet(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|funny(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(kind(X)&rich(X))))&
((~happy(john))<=>(?[X]:((~humble(X)|brave(X)))))&
((~... | generous(fred) | [
"p0",
"p3",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8720197549743864536689200
% SZS output start Proof for 8720197549743864536689200
1. ! [X0] : (creative(X0) <=> (~funny(X0) | ~humble(X0))) [input p0]
4. ! [X0] : (~funny(X0) => (funny(X0) | generous(X0))) [input p3]
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (rich(X0) & kind(X0))) [input ... | 0 |
If john is not quiet or not brave then someone is tall or kind and vice versa.
Everyone who is quiet is either happy or generous.
If someone is either old or not generous then someone is both creative and old.
Everyone who is rich is old and vice versa.
Everyone who is creative or brave is not humble or curious and vic... | Alice is not rich. | entailment | (((~quiet(john)|~brave(john)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:(quiet(X)=>(happy(X)<~>generous(X))))&
((?[X]:((old(X)<~>~generous(X))))=>(?[X]:((creative(X)&old(X)))))&
(![X]:(rich(X)<=>old(X)))&
(![X]:((creative(X)|brave(X))<=>(~humble(X)|curious(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~rich(X)<~>happy(X)))))&
(![X... | ~rich(alice) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6041968011005061065424606
% SZS output start Proof for 6041968011005061065424606
4. ! [X0] : (rich(X0) <=> old(X0)) [input p3]
13. ! [X0] : ((~old(X0) & brave(X0)) <=> (creative(X0) | rich(X0))) [input p12]
23. rich(alice) [input hypothesis]
46. ! [X0] : ((rich(X0) | ~old(X0)) & (old(X0) ... | 0 |
Everyone who is funny is not patient or wise. If someone is funny or not quiet then someone is generous and vice versa. If someone is either not wise or old then someone is not creative or not quiet and vice versa. If someone is both wise and not generous then lucy is funny or happy. If someone is both not brave and qu... | Fred is not wise. | neutral | (![X]:(funny(X)=>(~patient(X)|wise(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((wise(X)&~generous(X))))=>((funny(lucy)|happy(lucy))))&
((?[X]:((~brave(X)&quiet(X))))<=>(happy(paul)))&
(![X]:((curious(X)|~quiet(X))<=>(strong(X... | ~wise(fred) | [] | null | 0 |
If someone is both happy and generous then someone is not wise or not funny.
Everyone who is both not funny and not rich is either not curious or curious and vice versa.
Everyone who is not brave or not strong is both wise and strong and vice versa.
If someone is either curious or not tall then someone is not happy and... | Alice is not rich. | entailment | ((?[X]:((happy(X)&generous(X))))=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:((~funny(X)&~rich(X))<=>(~curious(X)<~>curious(X))))&
(![X]:((~brave(X)|~strong(X))<=>(wise(X)&strong(X))))&
((?[X]:((curious(X)<~>~tall(X))))<=>(?[X]:(~happy(X))))&
(![X]:((old(X)&~rich(X))<=>(funny(X)<~>calm(X))))&
(((strong(susan)<~>generous(sus... | ~rich(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 306027451182554938987005
% SZS output start Proof for 306027451182554938987005
2. ! [X0] : ((~rich(X0) & ~funny(X0)) <=> (~curious(X0) <~> curious(X0))) [input p1]
24. rich(alice) [input hypothesis]
39. ! [X0] : (((~rich(X0) & ~funny(X0)) | ((~curious(X0) | ~curious(X0)) & (curious(X0) | ... | 0 |
Everyone who is both wise and not creative is either not tall or not patient and vice versa.
If someone is rich then someone is either curious or not kind and vice versa.
If someone is both not tall and brave then mary is rich and vice versa.
Everyone who is not humble or not quiet is either not wise or kind.
If susan ... | Lucy is strong. | neutral | (![X]:((wise(X)&~creative(X))<=>(~tall(X)<~>~patient(X))))&
((?[X]:(rich(X)))<=>(?[X]:((curious(X)<~>~kind(X)))))&
((?[X]:((~tall(X)&brave(X))))<=>(rich(mary)))&
(![X]:((~humble(X)|~quiet(X))=>(~wise(X)<~>kind(X))))&
(((~creative(susan)|~generous(susan)))=>((~kind(alice)&~creative(alice))))&
((?[X]:((rich(X)|strong(X))... | strong(lucy) | [] | null | 0 |
If alice is not brave then susan is both not funny and not strong and vice versa. If someone is generous or kind then lucy is curious and vice versa. Everyone who is both not generous and wise is wise or kind and vice versa. Everyone who is creative is both happy and humble and vice versa. If someone is either not crea... | Lucy is not curious. | neutral | ((~brave(alice))<=>((~funny(susan)&~strong(susan))))&
((?[X]:((generous(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~generous(X)&wise(X))<=>(wise(X)|kind(X))))&
(![X]:(creative(X)<=>(happy(X)&humble(X))))&
((?[X]:((~creative(X)<~>kind(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((curious(X)&wise(X))=>~rich(X)))&
((?[X... | ~curious(lucy) | [] | null | 0 |
Everyone who is either generous or wise is both not creative and calm. Everyone who is funny is both humble and not humble and vice versa. If john is not happy or patient then mary is not creative and vice versa. If mary is both not brave and not kind then someone is rich or not strong and vice versa. If someone is ric... | Mary is not kind. | neutral | (![X]:((generous(X)<~>wise(X))=>(~creative(X)&calm(X))))&
(![X]:(funny(X)<=>(humble(X)&~humble(X))))&
(((~happy(john)|patient(john)))<=>(~creative(mary)))&
(((~brave(mary)&~kind(mary)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((rich(X)|~strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((patient(X)|generous(X))=>creative(X))... | ~kind(mary) | [] | null | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa. Everyone who is not funny is either strong or not strong. If someone is both happy and patient then someone is not kind or curious and vice versa. Everyone who is not quiet is tall or old. If john is patient or wise then fre... | Fred is not humble. | entailment | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~quiet(X)=>(tall(X)|old(X))))&
(((patient(john)|wise(john)))=>((happy(fred)|~strong(fred))))&
((?[X]:((~patient(X)|~rich(X))))<=>((~creative... | ~humble(fred) | [
"p7",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1388966695981686423961410
% SZS output start Proof for 1388966695981686423961410
8. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (funny(X0) <~> humble(X0))) [input p7]
9. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p8]
10. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [in... | 0 |
If alice is either humble or not quiet then fred is either not rich or generous and vice versa. Everyone who is not brave is either not wise or not happy and vice versa. Everyone who is creative or not patient is wise. Everyone who is either not tall or wise is wise. Everyone who is both not quiet and not funny is not ... | Alice is patient. | neutral | (((humble(alice)<~>~quiet(alice)))<=>((~rich(fred)<~>generous(fred))))&
(![X]:(~brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:((creative(X)|~patient(X))=>wise(X)))&
(![X]:((~tall(X)<~>wise(X))=>wise(X)))&
(![X]:((~quiet(X)&~funny(X))<=>(~quiet(X)|patient(X))))&
(((humble(paul)|~funny(paul)))<=>((creative(paul)&calm(paul))... | patient(alice) | [] | null | 0 |
Everyone who is either creative or not old is either humble or curious and vice versa.
If lucy is both not humble and tall then mary is both happy and humble.
If susan is not strong then someone is curious and vice versa.
If someone is both quiet and not rich then someone is not creative or not quiet and vice versa.
If... | Lucy is not old. | contradiction | (![X]:((creative(X)<~>~old(X))<=>(humble(X)<~>curious(X))))&
(((~humble(lucy)&tall(lucy)))=>((happy(mary)&humble(mary))))&
((~strong(susan))<=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((~quiet(fred))<=>((strong(lucy)|~tall(lucy))))&
(![X]:((kind(X)&~calm(X))=>(~patient(X... | ~old(lucy) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7349380576032808510486386
% SZS output start Proof for 7349380576032808510486386
16. ? [X0] : ~humble(X0) => (strong(lucy) & old(lucy)) [input p15]
17. ? [X0] : (funny(X0) & ~humble(X0)) [input p16]
25. ~old(lucy) [input hypothesis]
40. (strong(lucy) & old(lucy)) | ! [X0] : humble(X0) [en... | 0 |
If lucy is either not funny or strong then someone is not wise or not strong and vice versa.
Everyone who is strong or not calm is either not humble or not old.
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is both not quiet and not curious is either not curious or patient.
If someo... | Susan is not wise. | neutral | (((~funny(lucy)<~>strong(lucy)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((strong(X)|~calm(X))=>(~humble(X)<~>~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~curious(X)<~>patient(X))))&
((?[X]:((~happy(X)<~>calm(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~strong(X)&~humble(X))))<... | ~wise(susan) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or not curious then alice is not calm and vice versa.
If john is not generous then someon... | John is not wise. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(~calm(alice)))&
((~generous(john))<=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((~generous(X)|~brave(X))<=>(~humble(X)<~>curious(X))))&
(((~k... | ~wise(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8817505974029859113906198
% SZS output start Proof for 8817505974029859113906198
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
23. ~wise(john) [input hypothesis]
38. ! [X0] : (((strong(X0) | ~strong(X0)) | (~rich(X0) | ~wise(X0))) & ((rich(X0) & wise(X0)) |... | 0 |
Everyone who is either not old or old is either wise or tall and vice versa. If someone is curious then lucy is either old or happy. If someone is either generous or not kind then susan is either creative or wise. If someone is not happy or not wise then fred is both not old and not creative. If someone is either quiet... | Alice is not calm. | entailment | (![X]:((~old(X)<~>old(X))<=>(wise(X)<~>tall(X))))&
((?[X]:(curious(X)))=>((old(lucy)<~>happy(lucy))))&
((?[X]:((generous(X)<~>~kind(X))))=>((creative(susan)<~>wise(susan))))&
((?[X]:((~happy(X)|~wise(X))))=>((~old(fred)&~creative(fred))))&
((?[X]:((quiet(X)<~>patient(X))))<=>(kind(fred)))&
((?[X]:((happy(X)&~happy(X)))... | ~calm(alice) | [
"p0",
"p6",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8218188505753562153847868
% SZS output start Proof for 8218188505753562153847868
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (wise(X0) <~> tall(X0))) [input p0]
7. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (~calm(X0) <~> happy(X0))) [input p6]
8. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> wise(X0)... | 0 |
If someone is not funny then alice is not creative.
If someone is both wise and tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or bra... | Susan is not quiet. | neutral | ((?[X]:(~funny(X)))=>(~creative(alice)))&
((?[X]:((wise(X)&tall(X))))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))... | ~quiet(susan) | [] | null | 0 |
Everyone who is generous or not funny is either creative or not rich and vice versa.
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 is not rich or kind is strong.
If someone is not brave... | Susan is old. | neutral | (![X]:((generous(X)|~funny(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)|humble(paul))))&
((?[X]:((funny(X)<~>tall(X))))=>((ha... | old(susan) | [] | null | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | Lucy is happy. | contradiction | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | happy(lucy) | [
"p0",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 56323669068697441163007
% SZS output start Proof for 56323669068697441163007
1. ! [X0] : ((patient(X0) | ~old(X0)) => (quiet(X0) & rich(X0))) [input p0]
12. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~rich(X0) & happy(X0))) [input p11]
16. ! [X0] : ((~strong(X0) & rich(X0)) <=> ~patient(X0)) ... | 0 |
Everyone who is not quiet is not happy or quiet and vice versa.
If someone is both not rich and not generous then mary is either not kind or not funny and vice versa.
Everyone who is both not strong and not patient is not wise.
If someone is old then lucy is funny and vice versa.
Everyone who is humble or curious is ei... | Mary is curious. | neutral | (![X]:(~quiet(X)<=>(~happy(X)|quiet(X))))&
((?[X]:((~rich(X)&~generous(X))))<=>((~kind(mary)<~>~funny(mary))))&
(![X]:((~strong(X)&~patient(X))=>~wise(X)))&
((?[X]:(old(X)))<=>(funny(lucy)))&
(![X]:((humble(X)|curious(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((funny(X)&kind(X))<=>(tall(X)&kind(X))))&
(((~humble(fred)&~... | curious(mary) | [] | null | 0 |
Everyone who is both kind and wise is both generous and not wise.
Everyone who is either not funny or tall is tall and vice versa.
If someone is either generous or patient then susan is humble or kind and vice versa.
Everyone who is not humble or not funny is not old.
Everyone who is either curious or not funny is eith... | Paul is funny. | entailment | (![X]:((kind(X)&wise(X))=>(generous(X)&~wise(X))))&
(![X]:((~funny(X)<~>tall(X))<=>tall(X)))&
((?[X]:((generous(X)<~>patient(X))))<=>((humble(susan)|kind(susan))))&
(![X]:((~humble(X)|~funny(X))=>~old(X)))&
(![X]:((curious(X)<~>~funny(X))=>(~tall(X)<~>~generous(X))))&
(![X]:((brave(X)|~old(X))=>(~curious(X)|~wise(X))))... | funny(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1641981889789062825449490
% SZS output start Proof for 1641981889789062825449490
2. ! [X0] : ((~funny(X0) <~> tall(X0)) <=> tall(X0)) [input p1]
25. ~funny(paul) [input hypothesis]
37. ! [X0] : ((((~tall(X0) | funny(X0)) & (tall(X0) | ~funny(X0))) | ~tall(X0)) & (tall(X0) | ((~funny(X0) |... | 0 |
Everyone who is either tall or not curious is both not kind and curious and vice versa.
Everyone who is both tall and not rich is both creative and curious.
Everyone who is kind is brave and vice versa.
If someone is funny or generous then mary is tall or not patient.
If someone is either humble or tall then alice is q... | Fred is not curious. | contradiction | (![X]:((tall(X)<~>~curious(X))<=>(~kind(X)&curious(X))))&
(![X]:((tall(X)&~rich(X))=>(creative(X)&curious(X))))&
(![X]:(kind(X)<=>brave(X)))&
((?[X]:((funny(X)|generous(X))))=>((tall(mary)|~patient(mary))))&
((?[X]:((humble(X)<~>tall(X))))<=>(quiet(alice)))&
(((~old(alice)&rich(alice)))=>(?[X]:((patient(X)&~quiet(X))))... | ~curious(fred) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2983782817661368158844051
% SZS output start Proof for 2983782817661368158844051
1. ! [X0] : ((tall(X0) <~> ~curious(X0)) <=> (curious(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((~rich(X0) & tall(X0)) => (curious(X0) & creative(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> brave(X0)) [input p... | 0 |
If someone is either creative or not wise then mary is both not wise and generous.
If someone is quiet then fred is both not curious and not kind and vice versa.
If lucy is rich then someone is strong or curious and vice versa.
Everyone who is funny is rich and vice versa.
Everyone who is patient is old or tall.
Everyo... | Lucy is curious. | contradiction | ((?[X]:((creative(X)<~>~wise(X))))=>((~wise(mary)&generous(mary))))&
((?[X]:(quiet(X)))<=>((~curious(fred)&~kind(fred))))&
((rich(lucy))<=>(?[X]:((strong(X)|curious(X)))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(patient(X)=>(old(X)|tall(X))))&
(![X]:((quiet(X)&~happy(X))<=>(creative(X)|happy(X))))&
((~quiet(fred))=>(~brav... | curious(lucy) | [
"p2",
"p3",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 137874865176250295081105
% SZS output start Proof for 137874865176250295081105
3. rich(lucy) <=> ? [X0] : (curious(X0) | strong(X0)) [input p2]
4. ! [X0] : (funny(X0) <=> rich(X0)) [input p3]
15. ! [X0] : (curious(X0) <=> (~funny(X0) & ~patient(X0))) [input p14]
21. ? [X0] : (creative(X0)... | 0 |
Everyone who is not wise or not patient is both not creative and old and vice versa.
Everyone who is both not rich and humble is either not patient or patient and vice versa.
If alice is creative or not happy then mary is either not patient or not generous and vice versa.
Everyone who is not calm or creative is both qu... | Alice is calm. | entailment | (![X]:((~wise(X)|~patient(X))<=>(~creative(X)&old(X))))&
(![X]:((~rich(X)&humble(X))<=>(~patient(X)<~>patient(X))))&
(((creative(alice)|~happy(alice)))<=>((~patient(mary)<~>~generous(mary))))&
(![X]:((~calm(X)|creative(X))=>(quiet(X)&~happy(X))))&
((creative(alice))<=>(quiet(mary)))&
(![X]:((brave(X)<~>patient(X))<=>(~... | calm(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1041398451927499809446352
% SZS output start Proof for 1041398451927499809446352
4. ! [X0] : ((creative(X0) | ~calm(X0)) => (~happy(X0) & quiet(X0))) [input p3]
9. ! [X0] : ((quiet(X0) | brave(X0)) => happy(X0)) [input p8]
18. ~calm(alice) [input hypothesis]
22. ! [X0] : ((~happy(X0) & qu... | 0 |
Everyone who is kind or wise is curious and vice versa. Everyone who is humble is funny. Everyone who is kind is either not brave or patient. Everyone who is both not quiet and not curious is not happy or not old. Everyone who is either not brave or not old is not calm or generous. Everyone who is generous or not rich ... | Alice is not strong. | entailment | (![X]:((kind(X)|wise(X))<=>curious(X)))&
(![X]:(humble(X)=>funny(X)))&
(![X]:(kind(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~happy(X)|~old(X))))&
(![X]:((~brave(X)<~>~old(X))=>(~calm(X)|generous(X))))&
(![X]:((generous(X)|~rich(X))<=>rich(X)))&
(![X]:(strong(X)=>(~kind(X)&~generous(X))))&
(![X]:... | ~strong(alice) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3180175073205599534963910
% SZS output start Proof for 3180175073205599534963910
6. ! [X0] : ((~rich(X0) | generous(X0)) <=> rich(X0)) [input p5]
7. ! [X0] : (strong(X0) => (~generous(X0) & ~kind(X0))) [input p6]
25. strong(alice) [input hypothesis]
33. ! [X0] : ((~generous(X0) & ~kind(X0... | 0 |
Everyone who is not tall or not quiet is not kind or not quiet. If susan is kind then john is wise or not funny and vice versa. Everyone who is not funny is either creative or happy and vice versa. Everyone who is patient or not tall is both not patient and quiet and vice versa. Everyone who is not creative or old is q... | John is humble. | neutral | (![X]:((~tall(X)|~quiet(X))=>(~kind(X)|~quiet(X))))&
((kind(susan))<=>((wise(john)|~funny(john))))&
(![X]:(~funny(X)<=>(creative(X)<~>happy(X))))&
(![X]:((patient(X)|~tall(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~creative(X)|old(X))=>quiet(X)))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:... | humble(john) | [] | null | 0 |
Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice versa. If mary is either strong or old then someone is not happy. If someone i... | Paul is not quiet. | neutral | (![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|quiet(john))))&
(![X]:((~brave(X)|~patient(X))<=>(~pa... | ~quiet(paul) | [] | null | 0 |
If someone is brave or old then john is either kind or generous and vice versa.
Everyone who is both not brave and kind is both old and not kind.
Everyone who is either not creative or not happy is old.
Everyone who is both not humble and not rich is either generous or creative and vice versa.
Everyone who is either no... | Mary is patient. | entailment | ((?[X]:((brave(X)|old(X))))<=>((kind(john)<~>generous(john))))&
(![X]:((~brave(X)&kind(X))=>(old(X)&~kind(X))))&
(![X]:((~creative(X)<~>~happy(X))=>old(X)))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(~happy(X)... | patient(mary) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9020024278521665478726049
% SZS output start Proof for 9020024278521665478726049
2. ! [X0] : ((kind(X0) & ~brave(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (generous(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & funny(X0)) <=> (~... | 0 |
If someone is humble or not wise then lucy is either not calm or not happy.
If someone is both not brave and not rich then alice is not strong and vice versa.
If john is generous then someone is not humble and vice versa.
Everyone who is not calm or not strong is old or funny.
If someone is humble then paul is not funn... | Alice is generous. | neutral | ((?[X]:((humble(X)|~wise(X))))=>((~calm(lucy)<~>~happy(lucy))))&
((?[X]:((~brave(X)&~rich(X))))<=>(~strong(alice)))&
((generous(john))<=>(?[X]:(~humble(X))))&
(![X]:((~calm(X)|~strong(X))=>(old(X)|funny(X))))&
((?[X]:(humble(X)))=>((~funny(paul)|humble(paul))))&
(![X]:((curious(X)&~patient(X))=>(~tall(X)&quiet(X))))&
(... | generous(alice) | [] | null | 0 |
Everyone who is either generous or not brave is either not quiet or brave.
If mary is not happy or quiet then someone is either funny or not generous and vice versa.
Everyone who is not generous is not happy and vice versa.
Everyone who is not rich or patient is calm and vice versa.
Everyone who is both not old and not... | Alice is rich. | neutral | (![X]:((generous(X)<~>~brave(X))=>(~quiet(X)<~>brave(X))))&
(((~happy(mary)|quiet(mary)))<=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:(~generous(X)<=>~happy(X)))&
(![X]:((~rich(X)|patient(X))<=>calm(X)))&
(![X]:((~old(X)&~creative(X))<=>(calm(X)<~>~curious(X))))&
((?[X]:((wise(X)&~quiet(X))))=>((kind(susan)<~>generous... | rich(alice) | [] | null | 0 |
If susan is patient or not kind then someone is either curious or not wise and vice versa. If john is both quiet and creative then someone is not creative or patient and vice versa. If someone is either rich or not old then susan is both not quiet and not funny. If alice is not funny then fred is both not generous and ... | Mary is not curious. | entailment | (((patient(susan)|~kind(susan)))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((quiet(john)&creative(john)))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((rich(X)<~>~old(X))))=>((~quiet(susan)&~funny(susan))))&
((~funny(alice))=>((~generous(fred)&~strong(fred))))&
(((creative(mary)&~brave(mary)))=>(brave(paul)))&
(![X]:((ha... | ~curious(mary) | [
"p1",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3776145555558791280102530
% SZS output start Proof for 3776145555558791280102530
2. (creative(john) & quiet(john)) <=> ? [X0] : (patient(X0) | ~creative(X0)) [input p1]
7. ! [X0] : (calm(X0) => (~funny(X0) & ~quiet(X0))) [input p6]
12. ! [X0] : ((~patient(X0) | brave(X0)) <=> ~curious(X0)... | 0 |
If someone is generous or curious then paul is either not wise or not humble and vice versa. Everyone who is generous or not humble is wise or kind and vice versa. Everyone who is not generous or not rich is both wise and funny. Everyone who is both not old and curious is either not happy or old. Everyone who is either... | Paul is not funny. | neutral | ((?[X]:((generous(X)|curious(X))))<=>((~wise(paul)<~>~humble(paul))))&
(![X]:((generous(X)|~humble(X))<=>(wise(X)|kind(X))))&
(![X]:((~generous(X)|~rich(X))=>(wise(X)&funny(X))))&
(![X]:((~old(X)&curious(X))=>(~happy(X)<~>old(X))))&
(![X]:((strong(X)<~>~humble(X))=>(generous(X)|~rich(X))))&
(![X]:(~patient(X)=>~curious... | ~funny(paul) | [] | null | 0 |
Everyone who is not humble is both not tall and not quiet and vice versa. If someone is quiet then paul is funny and vice versa. Everyone who is creative or strong is both not kind and not curious. If paul is not quiet then paul is either not wise or old and vice versa. Everyone who is patient is either brave or not hu... | Fred is curious. | neutral | (![X]:(~humble(X)<=>(~tall(X)&~quiet(X))))&
((?[X]:(quiet(X)))<=>(funny(paul)))&
(![X]:((creative(X)|strong(X))=>(~kind(X)&~curious(X))))&
((~quiet(paul))<=>((~wise(paul)<~>old(paul))))&
(![X]:(patient(X)<=>(brave(X)<~>~humble(X))))&
(((brave(john)&humble(john)))=>(?[X]:((~strong(X)|~creative(X)))))&
((~kind(fred))<=>(... | curious(fred) | [] | null | 0 |
If mary is brave then lucy is rich. If someone is either not funny or wise then someone is not brave and vice versa. Everyone who is not old is not wise or strong. Everyone who is generous is not creative or strong and vice versa. If susan is both not patient and not creative then someone is either not strong or creati... | Mary is old. | entailment | ((brave(mary))=>(rich(lucy)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(~old(X)=>(~wise(X)|strong(X))))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(((~patient(susan)&~creative(susan)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((funny(X)&rich(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((... | old(mary) | [
"p6",
"p7",
"p9",
"p13",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4374315479046981345417037
% SZS output start Proof for 4374315479046981345417037
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~generous(X0) & ~happy(X0))) [input p6]
8. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> old(X0)) [input p7]
10. ! [X0] : ((~curious(X0) | ~wise(X0)) => quiet(X0)) [in... | 0 |
Everyone who is both rich and curious is both not calm and humble.
If susan is not tall then someone is either humble or not tall and vice versa.
Everyone who is kind is either generous or patient and vice versa.
Everyone who is humble or creative is both calm and not humble and vice versa.
If someone is both humble an... | Mary is brave. | entailment | (![X]:((rich(X)&curious(X))=>(~calm(X)&humble(X))))&
((~tall(susan))<=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:(kind(X)<=>(generous(X)<~>patient(X))))&
(![X]:((humble(X)|creative(X))<=>(calm(X)&~humble(X))))&
((?[X]:((humble(X)&creative(X))))<=>(?[X]:(wise(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((~humble(X)<~>~rich... | brave(mary) | [
"p3",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9040748086078018334412178
% SZS output start Proof for 9040748086078018334412178
4. ! [X0] : ((creative(X0) | humble(X0)) <=> (~humble(X0) & calm(X0))) [input p3]
7. ! [X0] : ((~humble(X0) <~> ~rich(X0)) => ~happy(X0)) [input p6]
9. ~brave(mary) <=> ? [X0] : rich(X0) [input p8]
12. ! [X0]... | 0 |
If someone is not tall then susan is both not kind and rich and vice versa. If someone is both not creative and wise then someone is not rich or not humble. Everyone who is either not tall or humble is both rich and calm and vice versa. If paul is not brave then john is humble or old and vice versa. Everyone who is eit... | John is calm. | contradiction | ((?[X]:(~tall(X)))<=>((~kind(susan)&rich(susan))))&
((?[X]:((~creative(X)&wise(X))))=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((~tall(X)<~>humble(X))<=>(rich(X)&calm(X))))&
((~brave(paul))<=>((humble(john)|old(john))))&
(![X]:((creative(X)<~>brave(X))<=>(brave(X)&~creative(X))))&
((curious(alice))=>(~patient(susan)))&
(... | calm(john) | [
"p6",
"p8",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4786209701556880691728742
% SZS output start Proof for 4786209701556880691728742
7. ! [X0] : ((~wise(X0) | ~funny(X0)) <=> (curious(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> calm(X0)) [input p8]
11. ! [X0] : (~creative(X0) <=> ~quiet(X0)) [input p10]
14... | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | John is kind. | entailment | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | kind(john) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5574032240643711927583454
% SZS output start Proof for 5574032240643711927583454
1. ! [X0] : (~kind(X0) <=> generous(X0)) [input p0]
5. ! [X0] : ((patient(X0) & calm(X0)) => (~patient(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~strong(X0) | kind(X0)) => (~happy(X0) & quiet(X0))) [inpu... | 0 |
Everyone who is either not strong or humble is either tall or kind.
Everyone who is both calm and not happy is not humble.
If someone is both funny and not curious then someone is not old or creative and vice versa.
Everyone who is both not creative and tall is calm and vice versa.
If susan is either wise or not happy ... | Alice is not kind. | entailment | (![X]:((~strong(X)<~>humble(X))=>(tall(X)<~>kind(X))))&
(![X]:((calm(X)&~happy(X))=>~humble(X)))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~creative(X)&tall(X))<=>calm(X)))&
(((wise(susan)<~>~happy(susan)))<=>((funny(alice)|kind(alice))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((quiet... | ~kind(alice) | [
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3507050662724771901106310
% SZS output start Proof for 3507050662724771901106310
6. ? [X0] : (~quiet(X0) <~> generous(X0)) <=> (strong(mary) | quiet(mary)) [input p5]
7. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~strong(X0) | brave(X0))) [input p6]
13. ! [X0] : ((~curious(X0) | strong(X0)) =>... | 0 |
Everyone who is not funny is not wise and vice versa.
If someone is tall then john is both not wise and strong and vice versa.
If mary is both generous and not humble then someone is not curious or patient and vice versa.
Everyone who is either humble or not generous is not kind and vice versa.
Everyone who is either n... | Alice is rich. | entailment | (![X]:(~funny(X)<=>~wise(X)))&
((?[X]:(tall(X)))<=>((~wise(john)&strong(john))))&
(((generous(mary)&~humble(mary)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((humble(X)<~>~generous(X))<=>~kind(X)))&
(![X]:((~old(X)<~>strong(X))<=>(rich(X)<~>~generous(X))))&
(![X]:((~rich(X)|brave(X))<=>(~wise(X)&humble(X))))&
(![X]:... | rich(alice) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8593530975672128556816020
% SZS output start Proof for 8593530975672128556816020
3. (~humble(mary) & generous(mary)) <=> ? [X0] : (patient(X0) | ~curious(X0)) [input p2]
4. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((brave(X0) | ~rich(X0)) <=> (humble(... | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Mary is funny. | neutral | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | funny(mary) | [] | null | 0 |
Everyone who is calm or not quiet is not humble or kind. If someone is either strong or not strong then lucy is not tall and vice versa. Everyone who is both not humble and creative is tall and vice versa. Everyone who is not generous is not curious and vice versa. Everyone who is funny is both not kind and not old and... | Lucy is not curious. | entailment | (![X]:((calm(X)|~quiet(X))=>(~humble(X)|kind(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(~tall(lucy)))&
(![X]:((~humble(X)&creative(X))<=>tall(X)))&
(![X]:(~generous(X)<=>~curious(X)))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(![X]:((~tall(X)&~kind(X))=>(~tall(X)<~>curious(X))))&
(![X]:((~kind(X)&funny(X))=>(generous(... | ~curious(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3546246059271728492766496
% SZS output start Proof for 3546246059271728492766496
2. ? [X0] : (strong(X0) <~> ~strong(X0)) <=> ~tall(lucy) [input p1]
12. ! [X0] : ((generous(X0) & tall(X0)) <=> curious(X0)) [input p11]
24. curious(lucy) [input hypothesis]
37. (? [X0] : ((strong(X0) | ~stro... | 0 |
Everyone who is both wise and kind is rich and vice versa. Everyone who is both not rich and not quiet is not tall or patient. If someone is both not kind and generous then mary is both not happy and not generous and vice versa. If lucy is not generous then mary is calm and vice versa. Everyone who is funny is rich or ... | Mary is strong. | entailment | (![X]:((wise(X)&kind(X))<=>rich(X)))&
(![X]:((~rich(X)&~quiet(X))=>(~tall(X)|patient(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((~happy(mary)&~generous(mary))))&
((~generous(lucy))<=>(calm(mary)))&
(![X]:(funny(X)<=>(rich(X)|~calm(X))))&
(((~rich(mary)|~strong(mary)))=>((~wise(alice)&brave(alice))))&
(![X]:((~kind(X)|~... | strong(mary) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8114387107684788158820874
% SZS output start Proof for 8114387107684788158820874
1. ! [X0] : ((kind(X0) & wise(X0)) <=> rich(X0)) [input p0]
5. ! [X0] : (funny(X0) <=> (~calm(X0) | rich(X0))) [input p4]
6. (~strong(mary) | ~rich(mary)) => (brave(alice) & ~wise(alice)) [input p5]
9. ! [X0]... | 0 |
If mary is brave then someone is both not generous and quiet.
Everyone who is both not creative and old is both generous and not creative and vice versa.
Everyone who is patient is old or not kind and vice versa.
If paul is either not quiet or not wise then someone is quiet or not old and vice versa.
Everyone who is ca... | Paul is not quiet. | contradiction | ((brave(mary))=>(?[X]:((~generous(X)&quiet(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)&~creative(X))))&
(![X]:(patient(X)<=>(old(X)|~kind(X))))&
(((~quiet(paul)<~>~wise(paul)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:(calm(X)<=>(~old(X)&wise(X))))&
((~wise(paul))=>(?[X]:((~strong(X)|patient(X)))))&
(((calm(john)&... | ~quiet(paul) | [
"p2",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3702362671093041522412865
% SZS output start Proof for 3702362671093041522412865
3. ! [X0] : (patient(X0) <=> (~kind(X0) | old(X0))) [input p2]
7. (rich(john) & calm(john)) <=> ? [X0] : (~quiet(X0) <~> happy(X0)) [input p6]
16. ! [X0] : ((~happy(X0) & kind(X0)) <=> (patient(X0) | kind(X0)... | 0 |
If someone is not humble then paul is creative or happy and vice versa. If someone is both not strong and not funny then john is either curious or not happy and vice versa. Everyone who is creative or quiet is either humble or not calm. Everyone who is both not curious and not funny is both not generous and not patient... | Alice is calm. | neutral | ((?[X]:(~humble(X)))<=>((creative(paul)|happy(paul))))&
((?[X]:((~strong(X)&~funny(X))))<=>((curious(john)<~>~happy(john))))&
(![X]:((creative(X)|quiet(X))=>(humble(X)<~>~calm(X))))&
(![X]:((~curious(X)&~funny(X))=>(~generous(X)&~patient(X))))&
(![X]:((wise(X)|patient(X))=>(~kind(X)<~>humble(X))))&
((?[X]:((wise(X)&~wi... | calm(alice) | [] | null | 0 |
If alice is both not curious and not kind then someone is both not strong and not generous.
If someone is not kind or old then someone is generous.
Everyone who is not curious or tall is happy or not humble.
Everyone who is both not old and humble is both not humble and generous and vice versa.
Everyone who is strong i... | Fred is kind. | entailment | (((~curious(alice)&~kind(alice)))=>(?[X]:((~strong(X)&~generous(X)))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|tall(X))=>(happy(X)|~humble(X))))&
(![X]:((~old(X)&humble(X))<=>(~humble(X)&generous(X))))&
(![X]:(strong(X)=>~old(X)))&
(![X]:(~generous(X)<=>(creative(X)|~quiet(X))))&
(![X]:... | kind(fred) | [
"p1",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 892531507289266407969025
% SZS output start Proof for 892531507289266407969025
2. ? [X0] : (old(X0) | ~kind(X0)) => ? [X0] : generous(X0) [input p1]
6. ! [X0] : (~generous(X0) <=> (~quiet(X0) | creative(X0))) [input p5]
13. ! [X0] : ((~funny(X0) | generous(X0)) => (brave(X0) & kind(X0))) ... | 0 |
Everyone who is quiet or calm is both humble and rich and vice versa.
If paul is not generous then alice is calm or not quiet.
Everyone who is funny or curious is not creative or calm.
If someone is curious or patient then fred is either not happy or not generous and vice versa.
Everyone who is happy is not tall or hap... | Fred is calm. | contradiction | (![X]:((quiet(X)|calm(X))<=>(humble(X)&rich(X))))&
((~generous(paul))=>((calm(alice)|~quiet(alice))))&
(![X]:((funny(X)|curious(X))=>(~creative(X)|calm(X))))&
((?[X]:((curious(X)|patient(X))))<=>((~happy(fred)<~>~generous(fred))))&
(![X]:(happy(X)<=>(~tall(X)|happy(X))))&
((?[X]:((strong(X)<~>generous(X))))<=>(~calm(fr... | calm(fred) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5611869458551650493962218
% SZS output start Proof for 5611869458551650493962218
1. ! [X0] : ((calm(X0) | quiet(X0)) <=> (rich(X0) & humble(X0))) [input p0]
7. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (~patient(X0) <~> ~calm(X0))) [input p6]
11. ! [X0] : (~patient(X0) => (~rich(X0) | generous... | 0 |
If someone is either not brave or funny then alice is both calm and not humble. If fred is creative or not wise then john is not patient. Everyone who is not quiet or tall is either brave or rich and vice versa. If fred is both not strong and not creative then someone is either not old or tall. Everyone who is patient ... | Mary is strong. | entailment | ((?[X]:((~brave(X)<~>funny(X))))=>((calm(alice)&~humble(alice))))&
(((creative(fred)|~wise(fred)))=>(~patient(john)))&
(![X]:((~quiet(X)|tall(X))<=>(brave(X)<~>rich(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~old(X)<~>tall(X)))))&
(![X]:(patient(X)=>(~quiet(X)&happy(X))))&
((?[X]:(curious(X)))=>(?[X]:(calm(X)))... | strong(mary) | [
"p4",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5054619153221788048452104
% SZS output start Proof for 5054619153221788048452104
5. ! [X0] : (patient(X0) => (happy(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | patient(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11. ! [X0] : ((patient(X0) | ~patient(X0)) <=> funny(X0)) [input... | 0 |
If alice is not brave then someone is not quiet and vice versa.
Everyone who is both not quiet and not rich is not calm or patient and vice versa.
Everyone who is both not old and not wise is not funny or patient and vice versa.
Everyone who is either not old or quiet is not tall and vice versa.
Everyone who is not ric... | John is not old. | entailment | ((~brave(alice))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)&~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~old(X)&~wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~old(X)<~>quiet(X))<=>~tall(X)))&
(![X]:((~rich(X)|~happy(X))=>(calm(X)&~humble(X))))&
((?[X]:((generous(X)&tall(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:(stron... | ~old(john) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1358354231267901694672894
% SZS output start Proof for 1358354231267901694672894
2. ! [X0] : ((~rich(X0) & ~quiet(X0)) <=> (patient(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~old(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> ~tall(X... | 0 |
Everyone who is not calm or generous is calm or generous and vice versa.
If someone is not patient or patient then paul is brave or old.
Everyone who is either not strong or not old is not calm and vice versa.
Everyone who is both not calm and not patient is patient.
If someone is both generous and not funny then someo... | Alice is not humble. | contradiction | (![X]:((~calm(X)|generous(X))<=>(calm(X)|generous(X))))&
((?[X]:((~patient(X)|patient(X))))=>((brave(paul)|old(paul))))&
(![X]:((~strong(X)<~>~old(X))<=>~calm(X)))&
(![X]:((~calm(X)&~patient(X))=>patient(X)))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(generous(X))))&
(((strong(mary)<~>~creative(mary)))=>(?[X]:((~calm(... | ~humble(alice) | [
"p2",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 27311777396074078682423
% SZS output start Proof for 27311777396074078682423
3. ! [X0] : ((~strong(X0) <~> ~old(X0)) <=> ~calm(X0)) [input p2]
9. ! [X0] : ((~quiet(X0) | old(X0)) <=> ~old(X0)) [input p8]
10. ! [X0] : ((calm(X0) & ~strong(X0)) => (old(X0) | humble(X0))) [input p9]
13. ! [X... | 0 |
Everyone who is both happy and not rich is calm or not rich.
Everyone who is either not old or not rich is creative or not kind.
If someone is either calm or kind then someone is brave and vice versa.
Everyone who is funny or not rich is generous or tall and vice versa.
Everyone who is patient is both not happy and not... | Alice is not curious. | neutral | (![X]:((happy(X)&~rich(X))=>(calm(X)|~rich(X))))&
(![X]:((~old(X)<~>~rich(X))=>(creative(X)|~kind(X))))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(brave(X))))&
(![X]:((funny(X)|~rich(X))<=>(generous(X)|tall(X))))&
(![X]:(patient(X)<=>(~happy(X)&~wise(X))))&
((?[X]:(~humble(X)))<=>(~generous(mary)))&
(((humble(susan)<~>wis... | ~curious(alice) | [] | null | 0 |
Everyone who is both not rich and not kind is not humble and vice versa. If someone is not curious then someone is either funny or not generous. Everyone who is both not kind and not curious is not patient. Everyone who is both not humble and not creative is either not curious or not patient. Everyone who is old or ric... | Lucy is not wise. | entailment | (![X]:((~rich(X)&~kind(X))<=>~humble(X)))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:((~kind(X)&~curious(X))=>~patient(X)))&
(![X]:((~humble(X)&~creative(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((old(X)|rich(X))<=>(~rich(X)|strong(X))))&
(((old(alice)&~generous(alice)))=>(?[X]:((old(X)&~creati... | ~wise(lucy) | [
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4705940171204877901556688
% SZS output start Proof for 4705940171204877901556688
7. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : (funny(X0) => wise(X0)) [input p7]
10. (tall(mary) & ~curious(mary)) <=> ? [X0] : (wise(X0) | old(X0)) [input p9]
11. ! [X0] : (... | 0 |
If someone is both brave and not calm then someone is both wise and rich and vice versa.
If someone is not calm then someone is tall and vice versa.
If susan is either not generous or not strong then someone is not brave.
If lucy is not funny then paul is calm.
Everyone who is wise is both not patient and kind and vice... | Susan is not wise. | entailment | ((?[X]:((brave(X)&~calm(X))))<=>(?[X]:((wise(X)&rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(((~generous(susan)<~>~strong(susan)))=>(?[X]:(~brave(X))))&
((~funny(lucy))=>(calm(paul)))&
(![X]:(wise(X)<=>(~patient(X)&kind(X))))&
(![X]:(calm(X)=>(humble(X)<~>creative(X))))&
(![X]:((~brave(X)&funny(X))<=>happy(X))... | ~wise(susan) | [
"p4",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4946824149036083661648916
% SZS output start Proof for 4946824149036083661648916
5. ! [X0] : (wise(X0) <=> (kind(X0) & ~patient(X0))) [input p4]
12. ! [X0] : (~patient(X0) <=> (~quiet(X0) & ~creative(X0))) [input p11]
13. ! [X0] : ((~creative(X0) | ~kind(X0)) => curious(X0)) [input p12]
1... | 0 |
If john is either not tall or not strong then lucy is both not quiet and not kind.
Everyone who is both not happy and not brave is not calm or not old.
If john is both not quiet and calm then susan is not happy or happy and vice versa.
Everyone who is not brave or not funny is either not quiet or happy.
Everyone who is... | Alice is not generous. | entailment | (((~tall(john)<~>~strong(john)))=>((~quiet(lucy)&~kind(lucy))))&
(![X]:((~happy(X)&~brave(X))=>(~calm(X)|~old(X))))&
(((~quiet(john)&calm(john)))<=>((~happy(susan)|happy(susan))))&
(![X]:((~brave(X)|~funny(X))=>(~quiet(X)<~>happy(X))))&
(![X]:((humble(X)|quiet(X))<=>(~generous(X)&funny(X))))&
(![X]:((quiet(X)<~>creativ... | ~generous(alice) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2819327232308108713819290
% SZS output start Proof for 2819327232308108713819290
4. ! [X0] : ((~funny(X0) | ~brave(X0)) => (~quiet(X0) <~> happy(X0))) [input p3]
5. ! [X0] : ((quiet(X0) | humble(X0)) <=> (funny(X0) & ~generous(X0))) [input p4]
9. ! [X0] : (~happy(X0) <=> (~creative(X0) <~... | 0 |
If someone is generous then alice is not calm or strong and vice versa.
Everyone who is both creative and not rich is creative and vice versa.
Everyone who is rich is not brave.
Everyone who is both old and not patient is both not humble and old and vice versa.
Everyone who is both generous and strong is either not pat... | Susan is rich. | contradiction | ((?[X]:(generous(X)))<=>((~calm(alice)|strong(alice))))&
(![X]:((creative(X)&~rich(X))<=>creative(X)))&
(![X]:(rich(X)=>~brave(X)))&
(![X]:((old(X)&~patient(X))<=>(~humble(X)&old(X))))&
(![X]:((generous(X)&strong(X))=>(~patient(X)<~>kind(X))))&
(![X]:((humble(X)&~humble(X))<=>(~happy(X)&~brave(X))))&
(![X]:((generous(X... | rich(susan) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2452655501313722002460651
% SZS output start Proof for 2452655501313722002460651
3. ! [X0] : (rich(X0) => ~brave(X0)) [input p2]
18. brave(susan) & ~creative(susan) [input p17]
25. rich(susan) [input hypothesis]
30. ! [X0] : (~brave(X0) | ~rich(X0)) [ennf transformation 3]
94. ~brave(X0) ... | 0 |
Everyone who is calm or brave is either tall or not quiet and vice versa.
Everyone who is not generous or not creative is either brave or not strong and vice versa.
Everyone who is either not patient or not strong is either old or not brave and vice versa.
Everyone who is either not strong or not patient is funny or no... | Susan is calm. | neutral | (![X]:((calm(X)|brave(X))<=>(tall(X)<~>~quiet(X))))&
(![X]:((~generous(X)|~creative(X))<=>(brave(X)<~>~strong(X))))&
(![X]:((~patient(X)<~>~strong(X))<=>(old(X)<~>~brave(X))))&
(![X]:((~strong(X)<~>~patient(X))=>(funny(X)|~kind(X))))&
(![X]:((wise(X)<~>~brave(X))=>(funny(X)<~>quiet(X))))&
((?[X]:((~generous(X)|~brave(X... | calm(susan) | [] | null | 0 |
If someone is both not calm and strong then someone is calm. Everyone who is either not happy or rich is not curious or not strong and vice versa. Everyone who is either curious or old is both happy and brave and vice versa. Everyone who is both not calm and rich is either not quiet or not funny. If mary is tall or hap... | Alice is not old. | contradiction | ((?[X]:((~calm(X)&strong(X))))=>(?[X]:(calm(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~curious(X)|~strong(X))))&
(![X]:((curious(X)<~>old(X))<=>(happy(X)&brave(X))))&
(![X]:((~calm(X)&rich(X))=>(~quiet(X)<~>~funny(X))))&
(((tall(mary)|happy(mary)))=>((~old(paul)|quiet(paul))))&
((?[X]:((~tall(X)&tall(X))))=>(?[X]:((happy(... | ~old(alice) | [
"p1",
"p2",
"p10",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2958161248420358434570211
% SZS output start Proof for 2958161248420358434570211
2. ! [X0] : ((~happy(X0) <~> rich(X0)) <=> (~strong(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((curious(X0) <~> old(X0)) <=> (brave(X0) & happy(X0))) [input p2]
11. ! [X0] : ((~creative(X0) | kind(X0)) <=> ... | 0 |
Everyone who is both quiet and generous is both not kind and tall and vice versa. Everyone who is not brave is both not generous and creative and vice versa. Everyone who is both not kind and old is both not curious and not brave and vice versa. Everyone who is generous or old is not quiet or generous and vice versa. E... | John is not old. | contradiction | (![X]:((quiet(X)&generous(X))<=>(~kind(X)&tall(X))))&
(![X]:(~brave(X)<=>(~generous(X)&creative(X))))&
(![X]:((~kind(X)&old(X))<=>(~curious(X)&~brave(X))))&
(![X]:((generous(X)|old(X))<=>(~quiet(X)|generous(X))))&
(![X]:(funny(X)=>(~quiet(X)&~happy(X))))&
(![X]:(generous(X)<=>(~humble(X)&calm(X))))&
(![X]:(generous(X)<... | ~old(john) | [
"p1",
"p3",
"p4",
"p6",
"p10",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 635375572683217748842489
% SZS output start Proof for 635375572683217748842489
2. ! [X0] : (~brave(X0) <=> (creative(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((old(X0) | generous(X0)) <=> (generous(X0) | ~quiet(X0))) [input p3]
5. ! [X0] : (funny(X0) => (~happy(X0) & ~quiet(X0))) [inp... | 0 |
If alice is either not quiet or generous then paul is either wise or not kind. If paul is kind then lucy is both not brave and quiet. Everyone who is kind is not happy and vice versa. Everyone who is quiet is both old and not tall. If someone is not humble then fred is not wise. Everyone who is either brave or not old ... | Paul is wise. | contradiction | (((~quiet(alice)<~>generous(alice)))=>((wise(paul)<~>~kind(paul))))&
((kind(paul))=>((~brave(lucy)&quiet(lucy))))&
(![X]:(kind(X)<=>~happy(X)))&
(![X]:(quiet(X)=>(old(X)&~tall(X))))&
((?[X]:(~humble(X)))=>(~wise(fred)))&
(![X]:((brave(X)<~>~old(X))<=>(patient(X)<~>~creative(X))))&
(((~creative(susan)|~wise(susan)))<=>(... | wise(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8635164848215932090780843
% SZS output start Proof for 8635164848215932090780843
14. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (~curious(X0) & wise(X0))) [input p13]
24. wise(paul) [input hypothesis]
56. ! [X0] : ((((~wise(X0) | curious(X0)) & (wise(X0) | ~curious(X0))) | (curious(X0) | ~... | 0 |
If someone is brave then lucy is either not rich or calm.
If someone is not creative then someone is calm or tall and vice versa.
Everyone who is both not quiet and not creative is not generous or not wise and vice versa.
Everyone who is both rich and curious is either not patient or wise and vice versa.
Everyone who i... | Lucy is funny. | entailment | ((?[X]:(brave(X)))=>((~rich(lucy)<~>calm(lucy))))&
((?[X]:(~creative(X)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:((~quiet(X)&~creative(X))<=>(~generous(X)|~wise(X))))&
(![X]:((rich(X)&curious(X))<=>(~patient(X)<~>wise(X))))&
(![X]:((~kind(X)<~>calm(X))=>(~creative(X)|~kind(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~hu... | funny(lucy) | [
"p2",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8609102342877739350763091
% SZS output start Proof for 8609102342877739350763091
3. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~wise(X0) | ~generous(X0))) [input p2]
8. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (funny(X0) & curious(X0))) [input p7]
10. (~wise(paul) & happy(paul)) <=> ? [... | 0 |
If lucy is not strong or brave then paul is quiet or not quiet.
If mary is both calm and kind then alice is not old or not wise and vice versa.
Everyone who is both curious and quiet is either not generous or not brave.
Everyone who is both old and not happy is not wise or not patient and vice versa.
Everyone who is bo... | Susan is not kind. | contradiction | (((~strong(lucy)|brave(lucy)))=>((quiet(paul)|~quiet(paul))))&
(((calm(mary)&kind(mary)))<=>((~old(alice)|~wise(alice))))&
(![X]:((curious(X)&quiet(X))=>(~generous(X)<~>~brave(X))))&
(![X]:((old(X)&~happy(X))<=>(~wise(X)|~patient(X))))&
(![X]:((wise(X)&calm(X))=>(generous(X)|quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))... | ~kind(susan) | [
"p2",
"p5",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5789450301513090593619270
% SZS output start Proof for 5789450301513090593619270
3. ! [X0] : ((quiet(X0) & curious(X0)) => (~generous(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((~curious(X0) <~> ~wise(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : (~generous(X0) <=> (~kind(X0) | happy(X0))) ... | 0 |
If alice is humble then john is either not quiet or not kind.
If paul is either not calm or not wise then alice is either calm or not wise.
If someone is either not happy or not generous then alice is either generous or not creative.
If someone is either not funny or not patient then someone is either not patient or ki... | Paul is not strong. | entailment | ((humble(alice))=>((~quiet(john)<~>~kind(john))))&
(((~calm(paul)<~>~wise(paul)))=>((calm(alice)<~>~wise(alice))))&
((?[X]:((~happy(X)<~>~generous(X))))=>((generous(alice)<~>~creative(alice))))&
((?[X]:((~funny(X)<~>~patient(X))))<=>(?[X]:((~patient(X)<~>kind(X)))))&
((?[X]:((~happy(X)<~>patient(X))))<=>((brave(mary)<~... | ~strong(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8762110707142985174121055
% SZS output start Proof for 8762110707142985174121055
6. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (strong(X0) | old(X0))) [input p5]
25. strong(paul) [input hypothesis]
50. ! [X0] : (((funny(X0) & ~funny(X0)) | (~strong(X0) & ~old(X0))) & ((strong(X0) | old(X0)) |... | 0 |
Everyone who is either not creative or humble is strong.
Everyone who is both not wise and not curious is wise or kind.
Everyone who is not patient or not happy is kind or not brave and vice versa.
If lucy is not rich or generous then someone is old or not wise and vice versa.
Everyone who is funny is calm or old.
Ever... | John is funny. | contradiction | (![X]:((~creative(X)<~>humble(X))=>strong(X)))&
(![X]:((~wise(X)&~curious(X))=>(wise(X)|kind(X))))&
(![X]:((~patient(X)|~happy(X))<=>(kind(X)|~brave(X))))&
(((~rich(lucy)|generous(lucy)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:(funny(X)=>(calm(X)|old(X))))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)&strong(X))))&
((~calm(jo... | funny(john) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8909914819975088518158822
% SZS output start Proof for 8909914819975088518158822
6. ! [X0] : ((calm(X0) <~> ~funny(X0)) => (strong(X0) & ~calm(X0))) [input p5]
7. ~calm(john) <=> (~funny(john) & humble(john)) [input p6]
25. funny(john) [input hypothesis]
32. ! [X0] : ((strong(X0) & ~calm(... | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Lucy is not old. | entailment | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | ~old(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1519497307070090676800246
% SZS output start Proof for 1519497307070090676800246
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
24. old(lucy) [input hypothesis]
30. ! [X0] : ((happy(X0) & ~happy(X0)) | (~old(X0) & brave(X0))) [ennf transformation 4]
87. ~happy... | 0 |
Everyone who is both old and not brave is either humble or funny. Everyone who is not rich or not wise is both kind and not generous. Everyone who is either not funny or funny is wise and vice versa. If someone is both not tall and happy then someone is both not kind and not funny and vice versa. If someone is not humb... | Mary is not tall. | neutral | (![X]:((old(X)&~brave(X))=>(humble(X)<~>funny(X))))&
(![X]:((~rich(X)|~wise(X))=>(kind(X)&~generous(X))))&
(![X]:((~funny(X)<~>funny(X))<=>wise(X)))&
((?[X]:((~tall(X)&happy(X))))<=>(?[X]:((~kind(X)&~funny(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((generous(X)&kind(X))<=>~rich(X)))&
(((~fun... | ~tall(mary) | [] | null | 0 |
If lucy is not quiet or not happy then someone is tall or calm and vice versa.
Everyone who is both humble and patient is humble or happy and vice versa.
Everyone who is both not rich and generous is curious or not patient.
Everyone who is either not humble or generous is both not funny and happy and vice versa.
If mar... | Alice is not quiet. | neutral | (((~quiet(lucy)|~happy(lucy)))<=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((humble(X)&patient(X))<=>(humble(X)|happy(X))))&
(![X]:((~rich(X)&generous(X))=>(curious(X)|~patient(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(~funny(X)&happy(X))))&
(((kind(mary)&funny(mary)))<=>((rich(alice)|brave(alice))))&
(((~creative(paul)|tal... | ~quiet(alice) | [] | null | 0 |
If someone is either brave or not tall then someone is both calm and quiet. Everyone who is not strong is both not strong and old. Everyone who is both quiet and not kind is both not strong and old. Everyone who is both quiet and not calm is not quiet or not kind. If mary is not funny then someone is generous or brave ... | Mary is generous. | entailment | ((?[X]:((brave(X)<~>~tall(X))))=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:(~strong(X)=>(~strong(X)&old(X))))&
(![X]:((quiet(X)&~kind(X))=>(~strong(X)&old(X))))&
(![X]:((quiet(X)&~calm(X))=>(~quiet(X)|~kind(X))))&
((~funny(mary))<=>(?[X]:((generous(X)|brave(X)))))&
(![X]:((~creative(X)&strong(X))<=>~quiet(X)))&
(![X]:((~tall... | generous(mary) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8589668761830126915497394
% SZS output start Proof for 8589668761830126915497394
2. ! [X0] : (~strong(X0) => (old(X0) & ~strong(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & quiet(X0)) => (old(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (~kind(X0) | ~quiet(X0))) [i... | 0 |
If alice is either not tall or funny then mary is either brave or not curious and vice versa.
Everyone who is not curious or curious is both not humble and not funny and vice versa.
If someone is both happy and not calm then someone is calm or rich and vice versa.
Everyone who is either not brave or not happy is not ol... | Alice is not tall. | neutral | (((~tall(alice)<~>funny(alice)))<=>((brave(mary)<~>~curious(mary))))&
(![X]:((~curious(X)|curious(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<=>(creative(X)<~>~tall(X))))&
((?[X]:(~kind... | ~tall(alice) | [] | null | 0 |
Everyone who is either not generous or creative is both not calm and kind.
Everyone who is not humble or not generous is not rich or not kind.
Everyone who is either not curious or not wise is not old and vice versa.
If someone is rich then alice is brave or not curious.
Everyone who is either wise or old is kind or no... | Mary is happy. | neutral | (![X]:((~generous(X)<~>creative(X))=>(~calm(X)&kind(X))))&
(![X]:((~humble(X)|~generous(X))=>(~rich(X)|~kind(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>~old(X)))&
((?[X]:(rich(X)))=>((brave(alice)|~curious(alice))))&
(![X]:((wise(X)<~>old(X))=>(kind(X)|~old(X))))&
(((~happy(paul)|~curious(paul)))<=>(quiet(mary)))&
((?[X]... | happy(mary) | [] | null | 0 |
If someone is not tall then fred is either not calm or not old and vice versa.
Everyone who is both humble and not happy is wise or not creative and vice versa.
Everyone who is either calm or humble is not old.
If alice is either not kind or not patient then someone is both not quiet and brave.
If paul is both curious ... | Fred is not creative. | contradiction | ((?[X]:(~tall(X)))<=>((~calm(fred)<~>~old(fred))))&
(![X]:((humble(X)&~happy(X))<=>(wise(X)|~creative(X))))&
(![X]:((calm(X)<~>humble(X))=>~old(X)))&
(((~kind(alice)<~>~patient(alice)))=>(?[X]:((~quiet(X)&brave(X)))))&
(((curious(paul)&~rich(paul)))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:(creative(X)))<=>(creative(... | ~creative(fred) | [
"p1",
"p5",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 548408490808395796874898
% SZS output start Proof for 548408490808395796874898
2. ! [X0] : ((~happy(X0) & humble(X0)) <=> (~creative(X0) | wise(X0))) [input p1]
6. ? [X0] : creative(X0) <=> creative(fred) [input p5]
8. ! [X0] : (~funny(X0) <=> happy(X0)) [input p7]
24. ? [X0] : (~funny(X0... | 0 |
If alice is generous or not funny then someone is funny or not humble and vice versa. Everyone who is not brave is generous. If alice is not creative then lucy is generous or not generous and vice versa. Everyone who is old or brave is either curious or creative. If someone is funny then someone is both not wise and ha... | Fred is not creative. | neutral | (((generous(alice)|~funny(alice)))<=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:(~brave(X)=>generous(X)))&
((~creative(alice))<=>((generous(lucy)|~generous(lucy))))&
(![X]:((old(X)|brave(X))=>(curious(X)<~>creative(X))))&
((?[X]:(funny(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((~curious(X)<~>~tall(X))))=>(?[X]:((~humble... | ~creative(fred) | [] | null | 0 |
Everyone who is either not wise or not rich is both quiet and generous and vice versa.
If someone is not tall or generous then paul is either not happy or humble.
If someone is either not creative or kind then paul is not funny or not wise and vice versa.
Everyone who is either not quiet or not wise is either wise or c... | Paul is brave. | entailment | (![X]:((~wise(X)<~>~rich(X))<=>(quiet(X)&generous(X))))&
((?[X]:((~tall(X)|generous(X))))=>((~happy(paul)<~>humble(paul))))&
((?[X]:((~creative(X)<~>kind(X))))<=>((~funny(paul)|~wise(paul))))&
(![X]:((~quiet(X)<~>~wise(X))=>(wise(X)<~>creative(X))))&
(![X]:((kind(X)|wise(X))<=>(rich(X)|brave(X))))&
(![X]:((~happy(X)|wi... | brave(paul) | [
"p0",
"p4",
"p5",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7484284031151761716442285
% SZS output start Proof for 7484284031151761716442285
1. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (generous(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((wise(X0) | kind(X0)) <=> (brave(X0) | rich(X0))) [input p4]
6. ! [X0] : ((wise(X0) | ~happy(X0)) => ~creative(X0... | 0 |
If mary is humble or funny then alice is either not patient or not happy and vice versa.
If someone is not curious then paul is not curious and vice versa.
If paul is not happy or not kind then alice is not wise or happy and vice versa.
If alice is not generous then alice is not rich or humble and vice versa.
If mary i... | Lucy is strong. | contradiction | (((humble(mary)|funny(mary)))<=>((~patient(alice)<~>~happy(alice))))&
((?[X]:(~curious(X)))<=>(~curious(paul)))&
(((~happy(paul)|~kind(paul)))<=>((~wise(alice)|happy(alice))))&
((~generous(alice))<=>((~rich(alice)|humble(alice))))&
(((creative(mary)|~strong(mary)))=>((kind(mary)<~>creative(mary))))&
(![X]:((kind(X)|~ri... | strong(lucy) | [
"p7",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2656564619300512861386880
% SZS output start Proof for 2656564619300512861386880
8. ! [X0] : (~curious(X0) <=> (creative(X0) | generous(X0))) [input p7]
10. ! [X0] : ((humble(X0) & brave(X0)) <=> (~generous(X0) | ~rich(X0))) [input p9]
15. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (strong... | 0 |
If someone is either patient or not rich then someone is tall and vice versa.
Everyone who is tall is either curious or not funny.
If someone is both creative and patient then mary is both funny and not generous and vice versa.
Everyone who is both wise and not humble is either patient or not tall and vice versa.
If al... | John is not rich. | entailment | ((?[X]:((patient(X)<~>~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:(tall(X)=>(curious(X)<~>~funny(X))))&
((?[X]:((creative(X)&patient(X))))<=>((funny(mary)&~generous(mary))))&
(![X]:((wise(X)&~humble(X))<=>(patient(X)<~>~tall(X))))&
(((happy(alice)&~brave(alice)))<=>(?[X]:((patient(X)&~kind(X)))))&
(((old(alice)&humble(alice... | ~rich(john) | [
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2857577801195576092886662
% SZS output start Proof for 2857577801195576092886662
9. ! [X0] : ((old(X0) | ~generous(X0)) => ~brave(X0)) [input p8]
10. ! [X0] : ((~brave(X0) | ~creative(X0)) => ~rich(X0)) [input p9]
17. old(john) <~> ~creative(john) [input p16]
25. rich(john) [input hypothe... | 0 |
If alice is kind then someone is not creative.
Everyone who is either not patient or funny is brave or creative and vice versa.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Ev... | Paul is not happy. | neutral | ((kind(alice))=>(?[X]:(~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(brave(X)|creative(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X)... | ~happy(paul) | [] | null | 0 |
If lucy is either tall or not tall then someone is generous and vice versa.
Everyone who is both creative and brave is both generous and tall and vice versa.
If alice is not calm or not brave then paul is both creative and patient and vice versa.
Everyone who is not funny is generous.
If mary is either old or not curio... | Alice is not calm. | contradiction | (((tall(lucy)<~>~tall(lucy)))<=>(?[X]:(generous(X))))&
(![X]:((creative(X)&brave(X))<=>(generous(X)&tall(X))))&
(((~calm(alice)|~brave(alice)))<=>((creative(paul)&patient(paul))))&
(![X]:(~funny(X)=>generous(X)))&
(((old(mary)<~>~curious(mary)))=>((rich(paul)<~>~old(paul))))&
((?[X]:((tall(X)|~patient(X))))<=>(strong(m... | ~calm(alice) | [
"p1",
"p2",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7078809986509461261662058
% SZS output start Proof for 7078809986509461261662058
2. ! [X0] : ((brave(X0) & creative(X0)) <=> (tall(X0) & generous(X0))) [input p1]
3. (~brave(alice) | ~calm(alice)) <=> (patient(paul) & creative(paul)) [input p2]
6. ? [X0] : (~patient(X0) | tall(X0)) <=> st... | 0 |
Everyone who is either not rich or wise is either not strong or wise and vice versa.
If paul is either not happy or not tall then susan is not happy or not strong and vice versa.
Everyone who is both wise and not creative is creative or generous and vice versa.
If susan is either quiet or not strong then alice is not k... | Fred is rich. | contradiction | (![X]:((~rich(X)<~>wise(X))<=>(~strong(X)<~>wise(X))))&
(((~happy(paul)<~>~tall(paul)))<=>((~happy(susan)|~strong(susan))))&
(![X]:((wise(X)&~creative(X))<=>(creative(X)|generous(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~kind(alice)|~brave(alice))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(generous(X)&~tall(X))))&
(![... | rich(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5558397830919563140683250
% SZS output start Proof for 5558397830919563140683250
6. ! [X0] : (rich(X0) <=> (~curious(X0) & curious(X0))) [input p5]
23. rich(fred) [input hypothesis]
39. ! [X0] : ((rich(X0) | (curious(X0) | ~curious(X0))) & ((~curious(X0) & curious(X0)) | ~rich(X0))) [nnf ... | 0 |
If fred is either not old or patient then someone is either not quiet or not curious and vice versa.
Everyone who is calm is both not strong and not kind and vice versa.
Everyone who is patient is not generous and vice versa.
If someone is both not wise and generous then lucy is either patient or not rich and vice vers... | Mary is creative. | neutral | (((~old(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:(calm(X)<=>(~strong(X)&~kind(X))))&
(![X]:(patient(X)<=>~generous(X)))&
((?[X]:((~wise(X)&generous(X))))<=>((patient(lucy)<~>~rich(lucy))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((~calm(X)&creative(X))<=>(... | creative(mary) | [] | null | 0 |
Everyone who is either old or not rich is both happy and brave and vice versa. Everyone who is not funny or not calm is either patient or kind and vice versa. Everyone who is not brave is either brave or not happy. Everyone who is both not rich and not happy is wise. If someone is either not happy or brave then someone... | Susan is not wise. | contradiction | (![X]:((old(X)<~>~rich(X))<=>(happy(X)&brave(X))))&
(![X]:((~funny(X)|~calm(X))<=>(patient(X)<~>kind(X))))&
(![X]:(~brave(X)=>(brave(X)<~>~happy(X))))&
(![X]:((~rich(X)&~happy(X))=>wise(X)))&
((?[X]:((~happy(X)<~>brave(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(((calm(fred)|~kind(fred)))<=>(?[X]:(patient(X))))&
(![X]:((ca... | ~wise(susan) | [
"p0",
"p2",
"p3",
"p7",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 308777971386265011850475
% SZS output start Proof for 308777971386265011850475
1. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> (brave(X0) & happy(X0))) [input p0]
3. ! [X0] : (~brave(X0) => (brave(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~rich(X0)) => wise(X0)) [input p3]
8. ! ... | 0 |
If lucy is either not calm or not tall then lucy is both not strong and not generous.
Everyone who is both not calm and not rich is either not calm or not rich.
Everyone who is calm is either not tall or kind.
Everyone who is both kind and not old is both creative and not old.
If susan is both strong and wise then some... | Alice is curious. | entailment | (((~calm(lucy)<~>~tall(lucy)))=>((~strong(lucy)&~generous(lucy))))&
(![X]:((~calm(X)&~rich(X))=>(~calm(X)<~>~rich(X))))&
(![X]:(calm(X)=>(~tall(X)<~>kind(X))))&
(![X]:((kind(X)&~old(X))=>(creative(X)&~old(X))))&
(((strong(susan)&wise(susan)))=>(?[X]:((tall(X)<~>~tall(X)))))&
(![X]:((curious(X)&creative(X))=>(wise(X)&~k... | curious(alice) | [
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4566804454530676284657104
% SZS output start Proof for 4566804454530676284657104
12. ! [X0] : ((~wise(X0) | ~tall(X0)) => curious(X0)) [input p11]
16. ? [X0] : (patient(X0) <~> ~wise(X0)) <=> (~patient(alice) & ~happy(alice)) [input p15]
18. patient(alice) & ~kind(alice) [input p17]
25. ~... | 0 |
If john is either old or generous then alice is curious.
Everyone who is either not kind or humble is both not quiet and quiet and vice versa.
Everyone who is not calm is kind or happy.
If lucy is not old then someone is either kind or happy and vice versa.
Everyone who is not creative is not quiet or strong.
Everyone ... | Fred is creative. | entailment | (((old(john)<~>generous(john)))=>(curious(alice)))&
(![X]:((~kind(X)<~>humble(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(~calm(X)=>(kind(X)|happy(X))))&
((~old(lucy))<=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:(~creative(X)=>(~quiet(X)|strong(X))))&
(![X]:(quiet(X)=>(~funny(X)<~>~old(X))))&
((~curious(mary))<=>(?[X]:(~strong(X)... | creative(fred) | [
"p4",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2920524339272441952930709
% SZS output start Proof for 2920524339272441952930709
5. ! [X0] : (~creative(X0) => (strong(X0) | ~quiet(X0))) [input p4]
13. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> (brave(X0) | ~creative(X0))) [input p12]
19. quiet(fred) & ~calm(fred) [input p18]
21. ~str... | 0 |
Everyone who is not quiet or humble is either not quiet or calm and vice versa. Everyone who is either wise or not humble is either not generous or wise and vice versa. Everyone who is not old or generous is either tall or wise and vice versa. Everyone who is not generous or generous is not old and vice versa. Everyone... | Susan is tall. | entailment | (![X]:((~quiet(X)|humble(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((wise(X)<~>~humble(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((generous(X)<~>calm(X))<=>(~kind(X)<~>... | tall(susan) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6617334148643737776885891
% SZS output start Proof for 6617334148643737776885891
1. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p0]
3. ! [X0] : ((generous(X0) | ~old(X0)) <=> (tall(X0) <~> wise(X0))) [input p2]
4. ! [X0] : ((generous(X0) | ~generous(X0)) <=> ... | 0 |
Everyone who is not strong is not kind or not tall. Everyone who is not old or old is either happy or humble. Everyone who is quiet or not humble is both not brave and not generous and vice versa. Everyone who is strong or quiet is not old or not creative and vice versa. Everyone who is both not old and funny is either... | Fred is funny. | entailment | (![X]:(~strong(X)=>(~kind(X)|~tall(X))))&
(![X]:((~old(X)|old(X))=>(happy(X)<~>humble(X))))&
(![X]:((quiet(X)|~humble(X))<=>(~brave(X)&~generous(X))))&
(![X]:((strong(X)|quiet(X))<=>(~old(X)|~creative(X))))&
(![X]:((~old(X)&funny(X))<=>(humble(X)<~>~creative(X))))&
((~old(paul))=>(?[X]:((~generous(X)|~old(X)))))&
(![X]... | funny(fred) | [
"p1",
"p4",
"p6",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4529962871582984026216162
% SZS output start Proof for 4529962871582984026216162
2. ! [X0] : ((old(X0) | ~old(X0)) => (happy(X0) <~> humble(X0))) [input p1]
5. ! [X0] : ((funny(X0) & ~old(X0)) <=> (humble(X0) <~> ~creative(X0))) [input p4]
7. ! [X0] : ((~happy(X0) | calm(X0)) => (strong(X... | 0 |
Everyone who is either not kind or humble is funny or not calm and vice versa.
If mary is either calm or not kind then someone is both not strong and not calm.
If paul is either curious or quiet then someone is not funny or not humble.
Everyone who is either funny or not wise is both not happy and not brave.
Everyone w... | Lucy is not old. | entailment | (![X]:((~kind(X)<~>humble(X))<=>(funny(X)|~calm(X))))&
(((calm(mary)<~>~kind(mary)))=>(?[X]:((~strong(X)&~calm(X)))))&
(((curious(paul)<~>quiet(paul)))=>(?[X]:((~funny(X)|~humble(X)))))&
(![X]:((funny(X)<~>~wise(X))=>(~happy(X)&~brave(X))))&
(![X]:((strong(X)&~brave(X))=>(quiet(X)|old(X))))&
(![X]:((old(X)<~>curious(X)... | ~old(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 696718026474060728381185
% SZS output start Proof for 696718026474060728381185
8. ! [X0] : (old(X0) => (~wise(X0) & wise(X0))) [input p7]
25. old(lucy) [input hypothesis]
34. ! [X0] : ((~wise(X0) & wise(X0)) | ~old(X0)) [ennf transformation 8]
96. wise(X0) | ~old(X0) [cnf transformation 3... | 0 |
Everyone who is not happy or patient is either not wise or quiet and vice versa. Everyone who is either not funny or creative is rich. If susan is strong then fred is strong or not calm. If alice is either not patient or funny then someone is wise or tall. Everyone who is not humble or not patient is either wise or not... | Alice is not quiet. | entailment | (![X]:((~happy(X)|patient(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>creative(X))=>rich(X)))&
((strong(susan))=>((strong(fred)|~calm(fred))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)|~patient(X))=>(wise(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((~rich(... | ~quiet(alice) | [
"p0",
"p4",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 144755610155954139632999
% SZS output start Proof for 144755610155954139632999
1. ! [X0] : ((patient(X0) | ~happy(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p0]
5. ! [X0] : ((~patient(X0) | ~humble(X0)) => (wise(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : (~generous(X0) <=> (quiet(X0) |... | 0 |
If lucy is not rich or not generous then someone is not brave and vice versa.
Everyone who is both not patient and strong is tall or not funny and vice versa.
If fred is funny or wise then someone is either patient or not generous and vice versa.
If someone is not quiet or brave then fred is curious or old and vice ver... | Fred is not creative. | contradiction | (((~rich(lucy)|~generous(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~patient(X)&strong(X))<=>(tall(X)|~funny(X))))&
(((funny(fred)|wise(fred)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
((?[X]:((~quiet(X)|brave(X))))<=>((curious(fred)|old(fred))))&
((~patient(paul))=>(?[X]:(brave(X))))&
(![X]:((curious(X)&rich(X))=>~brave(X... | ~creative(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3237978977456038149781457
% SZS output start Proof for 3237978977456038149781457
14. ? [X0] : (brave(X0) | ~creative(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) [input p13]
24. ~creative(fred) [input hypothesis]
26. ? [X0] : (brave(X0) | ~creative(X0)) => ? [X1] : (tall(X1) & ~tall(X1)) [rect... | 0 |
If john is funny or not funny then john is brave and vice versa. Everyone who is both quiet and generous is both not brave and not humble. Everyone who is funny is tall and vice versa. Everyone who is both curious and not humble is happy or not tall and vice versa. Everyone who is tall or kind is old. If lucy is not br... | Lucy is not brave. | entailment | (((funny(john)|~funny(john)))<=>(brave(john)))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X)&~humble(X))<=>(happy(X)|~tall(X))))&
(![X]:((tall(X)|kind(X))=>old(X)))&
((~brave(lucy))=>((old(john)|strong(john))))&
(![X]:((~old(X)|~strong(X))<=>(funny(X)&kind(X))... | ~brave(lucy) | [
"p3",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8201847559084920621537946
% SZS output start Proof for 8201847559084920621537946
4. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~tall(X0) | happy(X0))) [input p3]
9. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p8]
11. ! [X0] : (~generous(X0) => humble(X0)) [input p10]
17. ~t... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Lucy is not old. | neutral | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | ~old(lucy) | [] | null | 0 |
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