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 |
|---|---|---|---|---|---|---|---|
If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient. Everyone who is both not funny and not calm is both not funny and not curious and... | Paul is generous. | neutral | ((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(X))<=>~creative(X)))&
(![X]:((~happy(X)&~old(X))<=>(calm... | generous(paul) | [] | null | 0 |
Everyone who is rich or strong is not tall or not creative.
Everyone who is strong is generous or not creative and vice versa.
Everyone who is either not strong or patient is both humble and brave and vice versa.
If susan is not kind or patient then someone is both not old and funny and vice versa.
Everyone who is both... | Alice is not rich. | entailment | (![X]:((rich(X)|strong(X))=>(~tall(X)|~creative(X))))&
(![X]:(strong(X)<=>(generous(X)|~creative(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)&brave(X))))&
(((~kind(susan)|patient(susan)))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((humble(X)&creative(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((~patient(X)|~creative(X))=>... | ~rich(alice) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8968027115681088907435595
% SZS output start Proof for 8968027115681088907435595
1. ! [X0] : ((strong(X0) | rich(X0)) => (~creative(X0) | ~tall(X0))) [input p0]
2. ! [X0] : (strong(X0) <=> (~creative(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> (brave(X0)... | 0 |
Everyone who is both brave and happy is curious. If someone is both not calm and curious then paul is either funny or not calm. Everyone who is happy is not happy or not funny and vice versa. If lucy is either curious or not funny then paul is either not wise or not patient. Everyone who is not generous is quiet. Every... | Fred is not happy. | contradiction | (![X]:((brave(X)&happy(X))=>curious(X)))&
((?[X]:((~calm(X)&curious(X))))=>((funny(paul)<~>~calm(paul))))&
(![X]:(happy(X)<=>(~happy(X)|~funny(X))))&
(((curious(lucy)<~>~funny(lucy)))=>((~wise(paul)<~>~patient(paul))))&
(![X]:(~generous(X)=>quiet(X)))&
(![X]:((patient(X)|wise(X))=>(curious(X)&rich(X))))&
((quiet(lucy))... | ~happy(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7628622512087120425238638
% SZS output start Proof for 7628622512087120425238638
3. ! [X0] : (happy(X0) <=> (~funny(X0) | ~happy(X0))) [input p2]
23. ~happy(fred) [input hypothesis]
40. ! [X0] : ((happy(X0) | (funny(X0) & happy(X0))) & ((~funny(X0) | ~happy(X0)) | ~happy(X0))) [nnf transf... | 0 |
Everyone who is either not calm or wise is not old or curious and vice versa.
Everyone who is both not old and tall is both old and kind and vice versa.
If alice is not quiet or not funny then fred is either humble or patient.
If john is either not curious or not generous then someone is both brave and wise and vice ve... | John is not generous. | contradiction | (![X]:((~calm(X)<~>wise(X))<=>(~old(X)|curious(X))))&
(![X]:((~old(X)&tall(X))<=>(old(X)&kind(X))))&
(((~quiet(alice)|~funny(alice)))=>((humble(fred)<~>patient(fred))))&
(((~curious(john)<~>~generous(john)))<=>(?[X]:((brave(X)&wise(X)))))&
(![X]:((~quiet(X)<~>~happy(X))<=>patient(X)))&
((?[X]:((~funny(X)|~generous(X)))... | ~generous(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8113939486004136649731386
% SZS output start Proof for 8113939486004136649731386
21. generous(john) & ~kind(john) [input p20]
25. ~generous(john) [input hypothesis]
153. generous(john) [cnf transformation 21]
157. ~generous(john) [cnf transformation 25]
192. 7 <=> generous(john) [avatar d... | 0 |
Everyone who is kind is either kind or humble and vice versa.
Everyone who is both quiet and generous is either creative or not brave.
Everyone who is wise is not old or brave and vice versa.
Everyone who is either not quiet or not kind is not calm and vice versa.
If fred is both not humble and rich then someone is eit... | Paul is not humble. | entailment | (![X]:(kind(X)<=>(kind(X)<~>humble(X))))&
(![X]:((quiet(X)&generous(X))=>(creative(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~old(X)|brave(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>~calm(X)))&
(((~humble(fred)&rich(fred)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(((curious(lucy)<~>rich(lucy)))=>(?[X]:((~kind(X)|~wise(X)))))&
... | ~humble(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 797818720452600317148945
% SZS output start Proof for 797818720452600317148945
1. ! [X0] : (kind(X0) <=> (kind(X0) <~> humble(X0))) [input p0]
24. humble(paul) [input hypothesis]
35. ! [X0] : ((kind(X0) | ((kind(X0) | ~humble(X0)) & (humble(X0) | ~kind(X0)))) & (((~humble(X0) | ~kind(X0))... | 0 |
Everyone who is both not humble and not creative is not happy or not old and vice versa.
Everyone who is either not calm or not wise is not strong.
Everyone who is both not calm and strong is both not quiet and not rich.
If john is both not funny and not happy then someone is tall or not funny.
Everyone who is happy is... | Susan is not tall. | neutral | (![X]:((~humble(X)&~creative(X))<=>(~happy(X)|~old(X))))&
(![X]:((~calm(X)<~>~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&strong(X))=>(~quiet(X)&~rich(X))))&
(((~funny(john)&~happy(john)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(happy(X)=>(creative(X)&curious(X))))&
((funny(fred))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:... | ~tall(susan) | [] | null | 0 |
If someone is curious then someone is patient and vice versa. If alice is either tall or not tall then someone is kind or happy and vice versa. If paul is either not humble or not rich then someone is both not tall and not generous and vice versa. Everyone who is either not calm or brave is not tall. If someone is eith... | Lucy is calm. | neutral | ((?[X]:(curious(X)))<=>(?[X]:(patient(X))))&
(((tall(alice)<~>~tall(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~calm(X)<~>brave(X))=>~tall(X)))&
((?[X]:((~calm(X)<~>~creative(X))))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((~patient(X)<~>funny(X... | calm(lucy) | [] | null | 0 |
Everyone who is not generous is both not humble and not patient and vice versa.
If someone is both not kind and humble then fred is either wise or rich and vice versa.
Everyone who is both not old and not generous is both strong and kind.
If someone is happy then lucy is kind and vice versa.
Everyone who is generous or... | Paul is not generous. | neutral | (![X]:(~generous(X)<=>(~humble(X)&~patient(X))))&
((?[X]:((~kind(X)&humble(X))))<=>((wise(fred)<~>rich(fred))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&kind(X))))&
((?[X]:(happy(X)))<=>(kind(lucy)))&
(![X]:((generous(X)|~creative(X))<=>(curious(X)&strong(X))))&
(![X]:((~strong(X)&quiet(X))=>(rich(X)&funny(X))))&
(![... | ~generous(paul) | [] | null | 0 |
If mary is both rich and wise then someone is both tall and not patient and vice versa.
If someone is calm then alice is not curious or strong and vice versa.
If alice is both not funny and patient then fred is creative.
If someone is either creative or not quiet then someone is either wise or not kind and vice versa.
... | Alice is not strong. | contradiction | (((rich(mary)&wise(mary)))<=>(?[X]:((tall(X)&~patient(X)))))&
((?[X]:(calm(X)))<=>((~curious(alice)|strong(alice))))&
(((~funny(alice)&patient(alice)))=>(creative(fred)))&
((?[X]:((creative(X)<~>~quiet(X))))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((strong(X)|curious(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((calm(X)&creati... | ~strong(alice) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4200048882192102546156739
% SZS output start Proof for 4200048882192102546156739
5. ! [X0] : ((curious(X0) | strong(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
16. ? [X0] : curious(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p15]
25. ~strong(alice) [input hypothesis]
29. ? [X0] : cur... | 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... | Mary is not kind. | 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... | ~kind(mary) | [] | null | 0 |
Everyone who is humble or generous is either happy or not creative.
If susan is both not old and not rich then someone is both not humble and not strong and vice versa.
If fred is either not humble or patient then someone is either calm or brave and vice versa.
Everyone who is both not tall and funny is not humble or p... | Paul is rich. | contradiction | (![X]:((humble(X)|generous(X))=>(happy(X)<~>~creative(X))))&
(((~old(susan)&~rich(susan)))<=>(?[X]:((~humble(X)&~strong(X)))))&
(((~humble(fred)<~>patient(fred)))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((~tall(X)&funny(X))<=>(~humble(X)|patient(X))))&
(![X]:((~kind(X)&patient(X))<=>(~kind(X)|~happy(X))))&
(![X]:(~tall... | rich(paul) | [
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2914120935386738501649246
% SZS output start Proof for 2914120935386738501649246
5. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
7. ! [X0] : (~rich(X0) <=> (happy(X0) | old(X0))) [input p6]
15. ! [X0] : ((humble(X0) | ~old(X0)) => ~patient(X0)) [input p14]
... | 0 |
Everyone who is both patient and not curious is not creative.
If someone is tall or not old then paul is both brave and not tall and vice versa.
Everyone who is either not wise or creative is both funny and not calm.
If susan is both not humble and not funny then someone is either brave or not generous.
Everyone who is... | Susan is not patient. | entailment | (![X]:((patient(X)&~curious(X))=>~creative(X)))&
((?[X]:((tall(X)|~old(X))))<=>((brave(paul)&~tall(paul))))&
(![X]:((~wise(X)<~>creative(X))=>(funny(X)&~calm(X))))&
(((~humble(susan)&~funny(susan)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((quiet(X)|brave(X))=>(wise(X)<~>patient(X))))&
((~wise(paul))=>((tall(alice)... | ~patient(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1923680143406185467664779
% SZS output start Proof for 1923680143406185467664779
1. ! [X0] : ((~curious(X0) & patient(X0)) => ~creative(X0)) [input p0]
2. ? [X0] : (~old(X0) | tall(X0)) <=> (~tall(paul) & brave(paul)) [input p1]
3. ! [X0] : ((~wise(X0) <~> creative(X0)) => (~calm(X0) & fu... | 0 |
If someone is both strong and not creative then fred is both creative and wise.
Everyone who is curious is not tall or not rich and vice versa.
Everyone who is quiet or not strong is both not patient and not creative.
Everyone who is both rich and not creative is both not happy and not quiet.
If someone is both brave a... | Mary is not creative. | entailment | ((?[X]:((strong(X)&~creative(X))))=>((creative(fred)&wise(fred))))&
(![X]:(curious(X)<=>(~tall(X)|~rich(X))))&
(![X]:((quiet(X)|~strong(X))=>(~patient(X)&~creative(X))))&
(![X]:((rich(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((brave(X)&happy(X))))<=>(?[X]:((~brave(X)&~rich(X)))))&
(![X]:((~wise(X)|funny(X))=>(... | ~creative(mary) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6068760549523989124903604
% SZS output start Proof for 6068760549523989124903604
3. ! [X0] : ((~strong(X0) | quiet(X0)) => (~creative(X0) & ~patient(X0))) [input p2]
9. ! [X0] : ((brave(X0) | ~quiet(X0)) => (~creative(X0) & calm(X0))) [input p8]
24. creative(mary) [input hypothesis]
30. !... | 0 |
If someone is both not humble and not curious then someone is both curious and happy.
If someone is both strong and generous then someone is either brave or happy and vice versa.
If someone is not happy then susan is both not wise and curious.
Everyone who is kind is both not calm and calm and vice versa.
Everyone who ... | Lucy is not calm. | neutral | ((?[X]:((~humble(X)&~curious(X))))=>(?[X]:((curious(X)&happy(X)))))&
((?[X]:((strong(X)&generous(X))))<=>(?[X]:((brave(X)<~>happy(X)))))&
((?[X]:(~happy(X)))=>((~wise(susan)&curious(susan))))&
(![X]:(kind(X)<=>(~calm(X)&calm(X))))&
(![X]:((tall(X)&brave(X))<=>(wise(X)&~tall(X))))&
(![X]:(creative(X)<=>(~calm(X)|wise(X)... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not old and not curious is either rich or not happy and vice versa.
Everyone who is either patient or not old is patient and vice versa.
If susan is not calm then someone is not old and vice versa.
Everyone who is both not curious and rich is not quiet.
If paul is funny or calm then mary is both no... | John is brave. | contradiction | (![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~generous(mary)&tall(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:(~creative(X))))&
((kind(john... | brave(john) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6467285720145573546607445
% SZS output start Proof for 6467285720145573546607445
15. ? [X0] : brave(X0) <=> (~curious(paul) <~> ~quiet(paul)) [input p14]
19. quiet(paul) <~> ~curious(paul) [input p18]
22. brave(john) [input hypothesis]
61. (? [X0] : brave(X0) | ((~curious(paul) | quiet(pa... | 0 |
If susan is either humble or not curious then lucy is not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either not patient or humble is either old or curious and vice versa.
If john is both not brave and not funny then alice is eit... | Susan is not wise. | contradiction | (((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((~strong(X)|calm(X)... | ~wise(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1974743911365613093208578
% SZS output start Proof for 1974743911365613093208578
8. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p7]
21. ~wise(susan) [input hypothesis]
45. ! [X0] : (((~wise(X0) | happy(X0)) | (brave(X0) | ~brave(X0))) & ((~brave(X0) & brave(X0))... | 0 |
Everyone who is either not funny or quiet is both not brave and not funny.
If someone is not patient or not old then someone is not old and vice versa.
Everyone who is not old is brave.
If someone is both wise and not happy then john is either humble or quiet.
Everyone who is strong or wise is both not curious and rich... | Lucy is patient. | neutral | (![X]:((~funny(X)<~>quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)=>brave(X)))&
((?[X]:((wise(X)&~happy(X))))=>((humble(john)<~>quiet(john))))&
(![X]:((strong(X)|wise(X))=>(~curious(X)&rich(X))))&
(![X]:(~curious(X)=>(~happy(X)<~>~rich(X))))&
(![X]:((creative(X)<... | patient(lucy) | [] | null | 0 |
Everyone who is not quiet or generous is either strong or not humble. Everyone who is both old and brave is funny or brave. Everyone who is not wise or quiet is both not tall and not patient. Everyone who is either kind or not kind is funny and vice versa. If john is generous or not brave then someone is not brave and ... | John is not creative. | entailment | (![X]:((~quiet(X)|generous(X))=>(strong(X)<~>~humble(X))))&
(![X]:((old(X)&brave(X))=>(funny(X)|brave(X))))&
(![X]:((~wise(X)|quiet(X))=>(~tall(X)&~patient(X))))&
(![X]:((kind(X)<~>~kind(X))<=>funny(X)))&
(((generous(john)|~brave(john)))<=>(?[X]:(~brave(X))))&
(![X]:(wise(X)=>(~funny(X)&curious(X))))&
(![X]:((~wise(X)<... | ~creative(john) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5226273394300146600211918
% SZS output start Proof for 5226273394300146600211918
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> funny(X0)) [input p3]
6. ! [X0] : (wise(X0) => (curious(X0) & ~funny(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~kind(X0)) => (wise(X0) & funny(X0))) [input p7]
22... | 0 |
Everyone who is brave is either not wise or not kind and vice versa. If someone is not brave or funny then someone is not brave. If mary is not strong or strong then john is calm or generous. Everyone who is both not happy and tall is either not humble or not old. If mary is not rich then someone is both not happy and ... | Lucy is humble. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quie... | humble(lucy) | [
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1701857695690504564674912
% SZS output start Proof for 1701857695690504564674912
15. ! [X0] : ((quiet(X0) | kind(X0)) <=> (patient(X0) & strong(X0))) [input p14]
22. quiet(lucy) <~> humble(lucy) [input p21]
23. humble(lucy) | ~patient(lucy) [input p22]
24. ~humble(lucy) [input hypothesis]... | 0 |
If someone is creative then alice is either calm or not happy and vice versa. Everyone who is both calm and rich is either not wise or not brave and vice versa. Everyone who is either humble or not brave is both not curious and not creative and vice versa. If someone is either not tall or not curious then john is not o... | Paul is not kind. | neutral | ((?[X]:(creative(X)))<=>((calm(alice)<~>~happy(alice))))&
(![X]:((calm(X)&rich(X))<=>(~wise(X)<~>~brave(X))))&
(![X]:((humble(X)<~>~brave(X))<=>(~curious(X)&~creative(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>((~old(john)|rich(john))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)|strong(X))))&
(![X]:((curious(X)&~strong(... | ~kind(paul) | [] | null | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | John is funny. | neutral | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | funny(john) | [] | null | 0 |
If someone is old or curious then someone is both patient and calm.
If alice is both not curious and wise then fred is not strong and vice versa.
If fred is quiet or patient then someone is not curious or old.
If alice is not curious then someone is both tall and not strong.
Everyone who is both not tall and old is bot... | Paul is not brave. | neutral | ((?[X]:((old(X)|curious(X))))=>(?[X]:((patient(X)&calm(X)))))&
(((~curious(alice)&wise(alice)))<=>(~strong(fred)))&
(((quiet(fred)|patient(fred)))=>(?[X]:((~curious(X)|old(X)))))&
((~curious(alice))=>(?[X]:((tall(X)&~strong(X)))))&
(![X]:((~tall(X)&old(X))<=>(~kind(X)&curious(X))))&
(![X]:((strong(X)&curious(X))<=>(~ri... | ~brave(paul) | [] | null | 0 |
If someone is patient or not kind then someone is old.
If susan is both rich and not old then someone is both happy and creative.
Everyone who is not brave or not humble is both tall and not wise.
Everyone who is humble or not humble is creative or not happy and vice versa.
If someone is funny then someone is either ri... | John is old. | neutral | ((?[X]:((patient(X)|~kind(X))))=>(?[X]:(old(X))))&
(((rich(susan)&~old(susan)))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)&~wise(X))))&
(![X]:((humble(X)|~humble(X))<=>(creative(X)|~happy(X))))&
((?[X]:(funny(X)))=>(?[X]:((rich(X)<~>~rich(X)))))&
(![X]:((strong(X)<~>~curious(X))=>(creati... | old(john) | [] | null | 0 |
If someone is kind or quiet then someone is happy.
Everyone who is both not tall and not generous is either curious or not curious and vice versa.
If susan is tall then someone is humble.
Everyone who is not strong is tall or not strong.
Everyone who is not patient is funny or quiet.
Everyone who is old or not happy is... | Mary is rich. | neutral | ((?[X]:((kind(X)|quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~tall(X)&~generous(X))<=>(curious(X)<~>~curious(X))))&
((tall(susan))=>(?[X]:(humble(X))))&
(![X]:(~strong(X)=>(tall(X)|~strong(X))))&
(![X]:(~patient(X)=>(funny(X)|quiet(X))))&
(![X]:((old(X)|~happy(X))=>(creative(X)|calm(X))))&
((?[X]:((~brave(X)<~>quiet(X))))... | rich(mary) | [] | null | 0 |
If someone is old or not rich then someone is not patient and vice versa. Everyone who is both not generous and tall is both not funny and humble and vice versa. Everyone who is either not old or patient is not generous and vice versa. Everyone who is both not brave and not patient is either not patient or not wise and... | Paul is calm. | neutral | ((?[X]:((old(X)|~rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&tall(X))<=>(~funny(X)&humble(X))))&
(![X]:((~old(X)<~>patient(X))<=>~generous(X)))&
(![X]:((~brave(X)&~patient(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~happy(X))))&
(![X]:((~funny(X)<~>happy(X))<=>(generous(X)|ri... | calm(paul) | [] | null | 0 |
Everyone who is either not quiet or kind is both creative and funny.
If lucy is both not generous and patient then someone is kind or not old.
If lucy is creative or not quiet then someone is wise or brave.
Everyone who is either not humble or rich is not generous or not funny.
If susan is calm then someone is either n... | Paul is calm. | entailment | (![X]:((~quiet(X)<~>kind(X))=>(creative(X)&funny(X))))&
(((~generous(lucy)&patient(lucy)))=>(?[X]:((kind(X)|~old(X)))))&
(((creative(lucy)|~quiet(lucy)))=>(?[X]:((wise(X)|brave(X)))))&
(![X]:((~humble(X)<~>rich(X))=>(~generous(X)|~funny(X))))&
((calm(susan))=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)&wise(X... | calm(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7497727590349227656594655
% SZS output start Proof for 7497727590349227656594655
24. strong(paul) & calm(paul) [input p23]
25. ~calm(paul) [input hypothesis]
134. calm(paul) [cnf transformation 24]
136. ~calm(paul) [cnf transformation 25]
324. $false [subsumption resolution 136,134]
% SZS... | 0 |
Everyone who is either not curious or not creative is old or curious.
If someone is either strong or not quiet then alice is both creative and not patient and vice versa.
Everyone who is creative is generous.
If fred is either not kind or strong then someone is either happy or old and vice versa.
Everyone who is kind o... | Susan is strong. | neutral | (![X]:((~curious(X)<~>~creative(X))=>(old(X)|curious(X))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((creative(alice)&~patient(alice))))&
(![X]:(creative(X)=>generous(X)))&
(((~kind(fred)<~>strong(fred)))<=>(?[X]:((happy(X)<~>old(X)))))&
(![X]:((kind(X)|humble(X))<=>(curious(X)<~>strong(X))))&
(![X]:((~creative(X)<~>funny(... | strong(susan) | [] | null | 0 |
Everyone who is either not calm or not curious is either funny or creative and vice versa.
If lucy is kind or not generous then someone is both wise and not brave and vice versa.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and not old and vice versa.
If m... | Alice is not strong. | contradiction | (![X]:((~calm(X)<~>~curious(X))<=>(funny(X)<~>creative(X))))&
(((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|... | ~strong(alice) | [
"p2",
"p6",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9189583969832499308612483
% SZS output start Proof for 9189583969832499308612483
3. ! [X0] : (~curious(X0) <=> funny(X0)) [input p2]
7. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p6]
13. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> (~patient(X0) | curious(X0))) [input p12]
... | 0 |
If someone is quiet then fred is either creative or generous. Everyone who is not kind or not old is wise and vice versa. Everyone who is kind is funny or not rich. If paul is not funny or calm then paul is not generous or humble and vice versa. Everyone who is both happy and not curious is not happy or curious. Everyo... | Fred is wise. | neutral | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>wise(X)))&
(![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((pat... | wise(fred) | [] | null | 0 |
Everyone who is funny is either not wise or calm and vice versa.
Everyone who is both happy and brave is either not brave or not curious and vice versa.
If susan is either not generous or not rich then alice is both not kind and humble and vice versa.
If someone is either creative or not patient then john is generous a... | Alice is brave. | entailment | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~brave(X)<~>~curious(X))))&
(((~generous(susan)<~>~rich(susan)))<=>((~kind(alice)&humble(alice))))&
((?[X]:((creative(X)<~>~patient(X))))<=>(generous(john)))&
((?[X]:(~quiet(X)))<=>((quiet(paul)&~rich(paul))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&... | brave(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5961892176560407980450497
% SZS output start Proof for 5961892176560407980450497
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~brave(alice) [input hypothesis]
66. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient(... | 0 |
If someone is both creative and generous then someone is not kind or not creative.
Everyone who is not old or not strong is both kind and old and vice versa.
Everyone who is quiet or not curious is both brave and not wise.
Everyone who is both happy and kind is calm and vice versa.
Everyone who is not generous or calm ... | Alice is not generous. | contradiction | ((?[X]:((creative(X)&generous(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
(![X]:((~old(X)|~strong(X))<=>(kind(X)&old(X))))&
(![X]:((quiet(X)|~curious(X))=>(brave(X)&~wise(X))))&
(![X]:((happy(X)&kind(X))<=>calm(X)))&
(![X]:((~generous(X)|calm(X))<=>(~happy(X)<~>~old(X))))&
(![X]:((happy(X)&~kind(X))=>(humble(X)&~calm(X))... | ~generous(alice) | [
"p1",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4386282711082501853716136
% SZS output start Proof for 4386282711082501853716136
2. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (old(X0) & kind(X0))) [input p1]
5. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (~happy(X0) <~> ~old(X0))) [input p4]
19. ~calm(alice) & happy(alice) [input p18]
23. ~ge... | 0 |
If someone is either old or not brave then someone is both tall and rich and vice versa.
If someone is either wise or not strong then paul is both happy and not curious.
If someone is happy then someone is patient or happy.
If someone is both old and creative then someone is both kind and not generous and vice versa.
I... | Lucy is not funny. | contradiction | ((?[X]:((old(X)<~>~brave(X))))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((wise(X)<~>~strong(X))))=>((happy(paul)&~curious(paul))))&
((?[X]:(happy(X)))=>(?[X]:((patient(X)|happy(X)))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((~humble(X)<~>curious(X))))=>(rich(susan)))&
((~calm(mary))<=>(... | ~funny(lucy) | [
"p1",
"p8",
"p10",
"p14",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1012832541534290596709467
% SZS output start Proof for 1012832541534290596709467
2. ? [X0] : (wise(X0) <~> ~strong(X0)) => (~curious(paul) & happy(paul)) [input p1]
9. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (rich(X0) | happy(X0))) [input p8]
11. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> (... | 0 |
If someone is curious then someone is not curious and vice versa.
If someone is either not patient or not brave then someone is either not funny or old and vice versa.
Everyone who is both not calm and humble is calm or not brave and vice versa.
If someone is either old or tall then someone is both not creative and bra... | John is kind. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)|~brave(X))))&
((?[X]:((old(X)<~>tall(X))))=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((wise(X)|tall(X))=>(~generous(X)&~humble(X))))&
((~generous(lucy))<=>(?[X]:((hu... | kind(john) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2238777355607420785563599
% SZS output start Proof for 2238777355607420785563599
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (~brave(X0) | calm(X0))) [input p2]
15. (kind(john) | old(john)) <=> ? [X0] : calm(X0) [input p14]
24. kind(john) [input hypothesis]
50. ! [X0] : (((humble(X0) & ~cal... | 0 |
Everyone who is strong is either not humble or not quiet.
Everyone who is both quiet and not humble is kind and vice versa.
Everyone who is either not funny or not creative is both not generous and tall and vice versa.
If mary is curious then someone is quiet and vice versa.
Everyone who is not rich is not humble and v... | Susan is not generous. | neutral | (![X]:(strong(X)=>(~humble(X)<~>~quiet(X))))&
(![X]:((quiet(X)&~humble(X))<=>kind(X)))&
(![X]:((~funny(X)<~>~creative(X))<=>(~generous(X)&tall(X))))&
((curious(mary))<=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>~humble(X)))&
((patient(john))=>((brave(lucy)<~>~rich(lucy))))&
(![X]:((patient(X)&wise(X))<=>(patient(X)|~patien... | ~generous(susan) | [] | null | 0 |
Everyone who is happy or brave is tall or not creative and vice versa.
Everyone who is either not patient or funny is tall or generous.
If someone is either not creative or not quiet then someone is both generous and not brave.
If paul is either calm or tall then someone is not happy or old.
Everyone who is either curi... | John is not calm. | entailment | (![X]:((happy(X)|brave(X))<=>(tall(X)|~creative(X))))&
(![X]:((~patient(X)<~>funny(X))=>(tall(X)|generous(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((generous(X)&~brave(X)))))&
(((calm(paul)<~>tall(paul)))=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((curious(X)<~>humble(X))<=>(~calm(X)&~funny(X))))&
(![X]:((~kind(X)... | ~calm(john) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7875960783566261374589635
% SZS output start Proof for 7875960783566261374589635
5. ! [X0] : ((curious(X0) <~> humble(X0)) <=> (~funny(X0) & ~calm(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~happy(X0) | creative(X0))) [input p6]
11. ! [X0] : ((strong(X0) & ~patient(X0)) <=>... | 0 |
Everyone who is not humble or not brave is not wise or patient and vice versa.
Everyone who is tall is both rich and creative.
Everyone who is not rich or creative is both curious and not calm.
If paul is brave then someone is happy or not generous.
If someone is not tall then someone is either quiet or not calm.
If pa... | Fred is humble. | contradiction | (![X]:((~humble(X)|~brave(X))<=>(~wise(X)|patient(X))))&
(![X]:(tall(X)=>(rich(X)&creative(X))))&
(![X]:((~rich(X)|creative(X))=>(curious(X)&~calm(X))))&
((brave(paul))=>(?[X]:((happy(X)|~generous(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)<~>~calm(X)))))&
(((curious(paul)<~>~brave(paul)))<=>((rich(lucy)<~>~quiet(lucy... | humble(fred) | [
"p2",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 19143516303203230976535
% SZS output start Proof for 19143516303203230976535
3. ! [X0] : ((creative(X0) | ~rich(X0)) => (~calm(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~rich(X0) | happy(X0)) <=> (generous(X0) & ~humble(X0))) [input p8]
10. ! [X0] : (~happy(X0) <=> (patient(X0) & ~wise... | 0 |
Everyone who is calm or not old is kind or brave.
Everyone who is both not strong and brave is either not creative or not patient and vice versa.
If someone is creative or curious then alice is both quiet and not strong and vice versa.
Everyone who is both not calm and happy is old or not patient and vice versa.
Everyo... | Lucy is patient. | neutral | (![X]:((calm(X)|~old(X))=>(kind(X)|brave(X))))&
(![X]:((~strong(X)&brave(X))<=>(~creative(X)<~>~patient(X))))&
((?[X]:((creative(X)|curious(X))))<=>((quiet(alice)&~strong(alice))))&
(![X]:((~calm(X)&happy(X))<=>(old(X)|~patient(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|r... | patient(lucy) | [] | null | 0 |
Everyone who is not patient is either creative or not curious.
Everyone who is both not happy and not patient is either quiet or happy.
Everyone who is not creative is both not generous and not wise and vice versa.
If someone is both not curious and funny then lucy is not quiet and vice versa.
Everyone who is curious i... | Mary is not kind. | neutral | (![X]:(~patient(X)=>(creative(X)<~>~curious(X))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(X))))<=>(~quiet(lucy)))&
(![X]:(curious(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&... | ~kind(mary) | [] | null | 0 |
Everyone who is not humble is humble or happy.
Everyone who is both creative and not kind is both strong and not calm and vice versa.
Everyone who is strong is patient or calm.
If susan is both not old and not rich then mary is both not wise and not happy and vice versa.
If someone is not happy or not humble then someo... | John is kind. | entailment | (![X]:(~humble(X)=>(humble(X)|happy(X))))&
(![X]:((creative(X)&~kind(X))<=>(strong(X)&~calm(X))))&
(![X]:(strong(X)=>(patient(X)|calm(X))))&
(((~old(susan)&~rich(susan)))<=>((~wise(mary)&~happy(mary))))&
((?[X]:((~happy(X)|~humble(X))))<=>(?[X]:((calm(X)|~humble(X)))))&
(![X]:((~patient(X)|calm(X))=>(wise(X)&creative(X... | kind(john) | [
"p1",
"p5",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6920771965652146994595
% SZS output start Proof for 6920771965652146994595
2. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~calm(X0) & strong(X0))) [input p1]
6. ! [X0] : ((calm(X0) | ~patient(X0)) => (creative(X0) & wise(X0))) [input p5]
7. ! [X0] : (~calm(X0) => (~rich(X0) & generous(X0)))... | 0 |
If someone is kind then lucy is not old and vice versa.
If someone is both wise and kind then someone is both old and not rich and vice versa.
Everyone who is both creative and not curious is not strong or wise.
If lucy is either not humble or not tall then john is either not creative or not rich and vice versa.
Everyo... | Fred is curious. | entailment | ((?[X]:(kind(X)))<=>(~old(lucy)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:((old(X)&~rich(X)))))&
(![X]:((creative(X)&~curious(X))=>(~strong(X)|wise(X))))&
(((~humble(lucy)<~>~tall(lucy)))<=>((~creative(john)<~>~rich(john))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)<~>patient(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:... | curious(fred) | [
"p8",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1483762946380957315318181
% SZS output start Proof for 1483762946380957315318181
9. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (wise(X0) | ~creative(X0))) [input p8]
11. ! [X0] : ((kind(X0) | quiet(X0)) => generous(X0)) [input p10]
12. ! [X0] : ((~calm(X0) | ~wise(X0)) => ~quiet(X0)) [inp... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either humble or not curious and vice versa.
If alice is either funny or not patient then lucy is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creativ... | Mary is creative. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((humble(paul)<~>~curious(paul))))&
(((funny(alice)<~>~patient(alice)))<=>(rich(lucy)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(... | creative(mary) | [
"p0",
"p4",
"p7",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 299744695652001325923463
% SZS output start Proof for 299744695652001325923463
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
5. ? [X0] : (creative(X0) <~> calm(X0)) <=> (~funny(john) & patient(john)) [input p4]
8. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~cu... | 0 |
If lucy is not rich then someone is both quiet and generous and vice versa. If fred is either tall or not wise then alice is both old and not generous and vice versa. Everyone who is not patient is not creative. Everyone who is either not quiet or quiet is generous and vice versa. If someone is either not wise or happy... | Fred is not curious. | contradiction | ((~rich(lucy))<=>(?[X]:((quiet(X)&generous(X)))))&
(((tall(fred)<~>~wise(fred)))<=>((old(alice)&~generous(alice))))&
(![X]:(~patient(X)=>~creative(X)))&
(![X]:((~quiet(X)<~>quiet(X))<=>generous(X)))&
((?[X]:((~wise(X)<~>happy(X))))=>((~curious(fred)|old(fred))))&
((?[X]:(~happy(X)))=>(?[X]:(strong(X))))&
(![X]:((quiet(... | ~curious(fred) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9066198627986126663945854
% SZS output start Proof for 9066198627986126663945854
11. ~curious(fred) => (~quiet(paul) & ~wise(paul)) [input p10]
21. wise(paul) & ~patient(paul) [input p20]
25. ~curious(fred) [input hypothesis]
36. (~quiet(paul) & ~wise(paul)) | curious(fred) [ennf transfor... | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Mary is rich. | contradiction | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | rich(mary) | [
"p0",
"p1",
"p2",
"p8",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7890532133196430497818876
% SZS output start Proof for 7890532133196430497818876
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~strong(X0)) [inpu... | 0 |
Everyone who is calm or not generous is both quiet and brave and vice versa. If someone is either not generous or calm then mary is generous. Everyone who is not humble or not kind is funny. If fred is either tall or not patient then alice is both not happy and strong. If someone is both not generous and not old then s... | Fred is tall. | neutral | (![X]:((calm(X)|~generous(X))<=>(quiet(X)&brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))=>(generous(mary)))&
(![X]:((~humble(X)|~kind(X))=>funny(X)))&
(((tall(fred)<~>~patient(fred)))=>((~happy(alice)&strong(alice))))&
((?[X]:((~generous(X)&~old(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((patient(X)&tall(X))))<... | tall(fred) | [] | null | 0 |
If lucy is either not old or wise then susan is generous. Everyone who is either not creative or not curious is calm and vice versa. If someone is tall or not old then paul is both not happy and not patient. Everyone who is both funny and curious is either not happy or creative and vice versa. Everyone who is both kind... | Paul is not happy. | entailment | (((~old(lucy)<~>wise(lucy)))=>(generous(susan)))&
(![X]:((~creative(X)<~>~curious(X))<=>calm(X)))&
((?[X]:((tall(X)|~old(X))))=>((~happy(paul)&~patient(paul))))&
(![X]:((funny(X)&curious(X))<=>(~happy(X)<~>creative(X))))&
(![X]:((kind(X)&~happy(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~happy(X)|~creative(X))))=>((~ol... | ~happy(paul) | [
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3597430228050107919515635
% SZS output start Proof for 3597430228050107919515635
2. ! [X0] : ((~creative(X0) <~> ~curious(X0)) <=> calm(X0)) [input p1]
3. ? [X0] : (~old(X0) | tall(X0)) => (~patient(paul) & ~happy(paul)) [input p2]
4. ! [X0] : ((curious(X0) & funny(X0)) <=> (~happy(X0) <~... | 0 |
Everyone who is either patient or brave is either funny or tall and vice versa.
Everyone who is both patient and strong is both not brave and rich.
If lucy is quiet then someone is not strong and vice versa.
Everyone who is funny or kind is not patient or not quiet and vice versa.
If someone is either humble or rich th... | John is not generous. | neutral | (![X]:((patient(X)<~>brave(X))<=>(funny(X)<~>tall(X))))&
(![X]:((patient(X)&strong(X))=>(~brave(X)&rich(X))))&
((quiet(lucy))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|kind(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:((humble(X)<~>rich(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:(~calm(X)<=>~tall(X)))&
((?[X]:((patient(X)... | ~generous(john) | [] | null | 0 |
Everyone who is either not tall or funny is rich or curious and vice versa.
Everyone who is both not calm and not generous is both not kind and not tall.
If someone is not generous then someone is calm or rich and vice versa.
Everyone who is either not wise or not patient is either not wise or not calm and vice versa.
... | Alice is tall. | entailment | (![X]:((~tall(X)<~>funny(X))<=>(rich(X)|curious(X))))&
(![X]:((~calm(X)&~generous(X))=>(~kind(X)&~tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~wise(X)<~>~calm(X))))&
(![X]:((happy(X)|~strong(X))<=>(~tall(X)|~happy(X))))&
(![X]:((~old(X)&~patient(X))=>(creative(X)... | tall(alice) | [
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3965711501142324810453695
% SZS output start Proof for 3965711501142324810453695
4. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : (creative(X0) => ~curious(X0)) [input p7]
9. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [in... | 0 |
If someone is both not rich and not calm then someone is either kind or not brave and vice versa. If susan is not wise or not happy then someone is old. Everyone who is both not wise and quiet is happy or quiet. Everyone who is either happy or wise is curious and vice versa. Everyone who is both humble and not patient ... | Fred is not kind. | contradiction | ((?[X]:((~rich(X)&~calm(X))))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(((~wise(susan)|~happy(susan)))=>(?[X]:(old(X))))&
(![X]:((~wise(X)&quiet(X))=>(happy(X)|quiet(X))))&
(![X]:((happy(X)<~>wise(X))<=>curious(X)))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
(![X]:(curious(X)<=>(~curious(X)<~>~humble(X))))&
(![X]:((~calm(... | ~kind(fred) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 208531890625050949113638
% SZS output start Proof for 208531890625050949113638
5. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~kind(X0)) [input p4]
6. ! [X0] : (curious(X0) <=> (~curious(X0) <~> ~humble(X0))) [input p5]
25. ~kind(fred) [input hypothesis]
49. ! [X0] : (((~patient(X0) & humbl... | 0 |
Everyone who is tall is not wise or curious. Everyone who is not generous or not wise is either not humble or not strong and vice versa. If lucy is curious or old then lucy is strong or not calm. If someone is either not calm or curious then fred is either wise or not calm. If someone is both not quiet and happy then s... | Susan is not funny. | entailment | (![X]:(tall(X)=>(~wise(X)|curious(X))))&
(![X]:((~generous(X)|~wise(X))<=>(~humble(X)<~>~strong(X))))&
(((curious(lucy)|old(lucy)))=>((strong(lucy)|~calm(lucy))))&
((?[X]:((~calm(X)<~>curious(X))))=>((wise(fred)<~>~calm(fred))))&
((?[X]:((~quiet(X)&happy(X))))=>((tall(susan)|~curious(susan))))&
((?[X]:((~generous(X)|~k... | ~funny(susan) | [
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 776227881907978143838078
% SZS output start Proof for 776227881907978143838078
8. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~rich(X0) & creative(X0))) [input p7]
10. ! [X0] : ((~creative(X0) <~> ~funny(X0)) <=> ~old(X0)) [input p9]
12. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (happy(X0) | ... | 0 |
Everyone who is either not generous or strong is both not generous and not rich and vice versa. If lucy is either curious or not calm then mary is not tall or creative and vice versa. Everyone who is not creative is either not happy or happy and vice versa. If fred is not generous then alice is not curious or not stron... | Mary is not old. | neutral | (![X]:((~generous(X)<~>strong(X))<=>(~generous(X)&~rich(X))))&
(((curious(lucy)<~>~calm(lucy)))<=>((~tall(mary)|creative(mary))))&
(![X]:(~creative(X)<=>(~happy(X)<~>happy(X))))&
((~generous(fred))<=>((~curious(alice)|~strong(alice))))&
(![X]:(humble(X)<=>quiet(X)))&
((?[X]:((~old(X)|~generous(X))))=>(?[X]:(~rich(X))))... | ~old(mary) | [] | null | 0 |
If fred is both not rich and patient then john is not curious or not wise. If someone is either humble or wise then alice is happy. Everyone who is not happy is both not wise and not brave and vice versa. Everyone who is either not calm or rich is not patient or quiet and vice versa. If someone is either not calm or br... | Lucy is not wise. | contradiction | (((~rich(fred)&patient(fred)))=>((~curious(john)|~wise(john))))&
((?[X]:((humble(X)<~>wise(X))))=>(happy(alice)))&
(![X]:(~happy(X)<=>(~wise(X)&~brave(X))))&
(![X]:((~calm(X)<~>rich(X))<=>(~patient(X)|quiet(X))))&
((?[X]:((~calm(X)<~>brave(X))))<=>(patient(paul)))&
((?[X]:(generous(X)))=>(?[X]:(~humble(X))))&
(![X]:((b... | ~wise(lucy) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2733384180586941687527033
% SZS output start Proof for 2733384180586941687527033
14. ! [X0] : ((wise(X0) & ~old(X0)) <=> (~calm(X0) | old(X0))) [input p13]
16. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p15]
24. ~wise(lucy) [input hypothesis]
37. ! [X0] : ((~calm(X... | 0 |
If mary is creative or kind then susan is happy.
Everyone who is both curious and patient is not rich or not old.
If someone is both not brave and creative then someone is old or not patient and vice versa.
Everyone who is both humble and not brave is humble.
If someone is either calm or not humble then alice is both h... | Alice is not generous. | entailment | (((creative(mary)|kind(mary)))=>(happy(susan)))&
(![X]:((curious(X)&patient(X))=>(~rich(X)|~old(X))))&
((?[X]:((~brave(X)&creative(X))))<=>(?[X]:((old(X)|~patient(X)))))&
(![X]:((humble(X)&~brave(X))=>humble(X)))&
((?[X]:((calm(X)<~>~humble(X))))<=>((humble(alice)&~humble(alice))))&
((?[X]:((~generous(X)<~>curious(X)))... | ~generous(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7240128117883397602833566
% SZS output start Proof for 7240128117883397602833566
9. ! [X0] : (generous(X0) => ~generous(X0)) [input p8]
24. generous(alice) [input hypothesis]
38. ! [X0] : (~generous(X0) | ~generous(X0)) [ennf transformation 9]
113. ~generous(X0) | ~generous(X0) [cnf trans... | 0 |
If mary is not curious or not funny then paul is generous or not curious and vice versa.
Everyone who is either not generous or curious is both not humble and not funny.
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 old or not str... | Fred is strong. | entailment | (((~curious(mary)|~funny(mary)))<=>((generous(paul)|~curious(paul))))&
(![X]:((~generous(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]:(~k... | strong(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8141429856583674437230303
% SZS output start Proof for 8141429856583674437230303
11. ! [X0] : ((calm(X0) | ~strong(X0)) => (tall(X0) & ~tall(X0))) [input p10]
24. ~strong(fred) [input hypothesis]
32. ! [X0] : ((tall(X0) & ~tall(X0)) | (~calm(X0) & strong(X0))) [ennf transformation 11]
122... | 0 |
If susan is patient then someone is both rich and wise.
If susan is either calm or quiet then someone is either not happy or quiet and vice versa.
Everyone who is funny or not funny is either not patient or not brave.
Everyone who is both not rich and not curious is either not happy or generous and vice versa.
If someo... | Mary is old. | entailment | ((patient(susan))=>(?[X]:((rich(X)&wise(X)))))&
(((calm(susan)<~>quiet(susan)))<=>(?[X]:((~happy(X)<~>quiet(X)))))&
(![X]:((funny(X)|~funny(X))=>(~patient(X)<~>~brave(X))))&
(![X]:((~rich(X)&~curious(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:((humble(X)<~>calm(X)))))&
((?[X]:((~old(X)... | old(mary) | [
"p2",
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3664189645073135533453203
% SZS output start Proof for 3664189645073135533453203
3. ! [X0] : ((~funny(X0) | funny(X0)) => (~patient(X0) <~> ~brave(X0))) [input p2]
6. ? [X0] : (~tall(X0) | ~old(X0)) <=> ? [X0] : (~brave(X0) & ~funny(X0)) [input p5]
8. ! [X0] : ((~brave(X0) <~> kind(X0)) =... | 0 |
If someone is either not strong or not patient then mary is rich or not strong.
If someone is both not funny and rich then someone is quiet.
Everyone who is strong or old is quiet and vice versa.
Everyone who is either generous or not patient is both not patient and not generous.
If someone is both not happy and rich t... | Mary is tall. | entailment | ((?[X]:((~strong(X)<~>~patient(X))))=>((rich(mary)|~strong(mary))))&
((?[X]:((~funny(X)&rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((strong(X)|old(X))<=>quiet(X)))&
(![X]:((generous(X)<~>~patient(X))=>(~patient(X)&~generous(X))))&
((?[X]:((~happy(X)&rich(X))))<=>((~old(paul)<~>~curious(paul))))&
(![X]:((kind(X)&humble(X))=>... | tall(mary) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6101687725989938090516212
% SZS output start Proof for 6101687725989938090516212
7. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (~strong(X0) | ~patient(X0))) [input p6]
10. ! [X0] : (strong(X0) <=> ~patient(X0)) [input p9]
25. ~tall(mary) [input hypothesis]
53. ! [X0] : (((tall(X0) & ~humble(X... | 0 |
Everyone who is generous or creative is either old or not curious.
If alice is both not brave and funny then someone is either not rich or brave and vice versa.
Everyone who is both old and not kind is quiet or wise.
Everyone who is humble or curious is both not calm and old and vice versa.
If fred is either happy or n... | Fred is not strong. | entailment | (![X]:((generous(X)|creative(X))=>(old(X)<~>~curious(X))))&
(((~brave(alice)&funny(alice)))<=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|wise(X))))&
(![X]:((humble(X)|curious(X))<=>(~calm(X)&old(X))))&
(((happy(fred)<~>~patient(fred)))=>((brave(fred)<~>~strong(fred))))&
(![X]:((old(X)<~>~gener... | ~strong(fred) | [
"p4",
"p7",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6784901556308390475787380
% SZS output start Proof for 6784901556308390475787380
5. (happy(fred) <~> ~patient(fred)) => (brave(fred) <~> ~strong(fred)) [input p4]
8. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p7]
10. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old... | 0 |
If someone is both not calm and not curious then someone is not humble or not quiet and vice versa.
Everyone who is funny is either strong or not brave.
Everyone who is wise or not creative is strong.
Everyone who is happy is both not funny and not curious and vice versa.
If someone is either kind or not rich then some... | Susan is generous. | entailment | ((?[X]:((~calm(X)&~curious(X))))<=>(?[X]:((~humble(X)|~quiet(X)))))&
(![X]:(funny(X)=>(strong(X)<~>~brave(X))))&
(![X]:((wise(X)|~creative(X))=>strong(X)))&
(![X]:(happy(X)<=>(~funny(X)&~curious(X))))&
((?[X]:((kind(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)&tall(X)))))&
((?[X]:((~tall(X)|~quiet(X))))=>(?[X]:(quiet(X))))&
((... | generous(susan) | [
"p3",
"p8",
"p9",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 65424798629462957193755
% SZS output start Proof for 65424798629462957193755
4. ! [X0] : (happy(X0) <=> (~curious(X0) & ~funny(X0))) [input p3]
9. ! [X0] : (happy(X0) <=> (humble(X0) <~> ~generous(X0))) [input p8]
10. ! [X0] : ((generous(X0) | ~creative(X0)) => (~calm(X0) & ~quiet(X0))) [... | 0 |
If fred is both brave and tall then fred is not generous or not tall. Everyone who is not wise is brave or not patient. Everyone who is wise is rich or creative. Everyone who is either not rich or not calm is creative and vice versa. Everyone who is not calm is both not humble and not rich. Everyone who is either tall ... | Fred is curious. | entailment | (((brave(fred)&tall(fred)))=>((~generous(fred)|~tall(fred))))&
(![X]:(~wise(X)=>(brave(X)|~patient(X))))&
(![X]:(wise(X)=>(rich(X)|creative(X))))&
(![X]:((~rich(X)<~>~calm(X))<=>creative(X)))&
(![X]:(~calm(X)=>(~humble(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~ri... | curious(fred) | [
"p4",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8949041198240046212635434
% SZS output start Proof for 8949041198240046212635434
5. ! [X0] : (~calm(X0) => (~rich(X0) & ~humble(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> ~rich(X0)) => curious(X0)) [input p6]
9. ? [X0] : (~calm(X0) & creative(X0)) <=> ? [X0] : (~quiet(X0) & quiet(X0)... | 0 |
If fred is wise or not rich then someone is both humble and not wise and vice versa.
If fred is not generous then fred is not kind or calm.
If someone is funny or rich then someone is not quiet and vice versa.
Everyone who is funny is happy or not creative.
If someone is not calm then someone is tall and vice versa.
Ev... | John is generous. | entailment | (((wise(fred)|~rich(fred)))<=>(?[X]:((humble(X)&~wise(X)))))&
((~generous(fred))=>((~kind(fred)|calm(fred))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(![X]:((~humble(X)|~tall(X))<=>(humble(X)&~happy(X))))&
((?[X]:(funny(X))... | generous(john) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5705311646366374099728075
% SZS output start Proof for 5705311646366374099728075
3. ? [X0] : (rich(X0) | funny(X0)) <=> ? [X0] : ~quiet(X0) [input p2]
6. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p5]
8. (creative(susan) & ~quiet(susan)) <=> ? [X0] : (~quiet... | 0 |
If mary is both not curious and kind then someone is both quiet and not tall and vice versa.
Everyone who is both not tall and not curious is both not brave and curious and vice versa.
Everyone who is either brave or generous is both brave and curious and vice versa.
Everyone who is either not rich or strong is either ... | Mary is not patient. | neutral | (((~curious(mary)&kind(mary)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~tall(X)&~curious(X))<=>(~brave(X)&curious(X))))&
(![X]:((brave(X)<~>generous(X))<=>(brave(X)&curious(X))))&
(![X]:((~rich(X)<~>strong(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~kind(X)&calm(X)))))&
((?[X]:((~creativ... | ~patient(mary) | [] | null | 0 |
Everyone who is kind or not wise is not quiet.
Everyone who is quiet is rich and vice versa.
Everyone who is either not humble or humble is both wise and not quiet and vice versa.
If paul is both kind and patient then someone is curious or not quiet.
Everyone who is not humble is not funny or not brave and vice versa.
... | Lucy is not rich. | entailment | (![X]:((kind(X)|~wise(X))=>~quiet(X)))&
(![X]:(quiet(X)<=>rich(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(wise(X)&~quiet(X))))&
(((kind(paul)&patient(paul)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(~humble(X)<=>(~funny(X)|~brave(X))))&
(((patient(alice)<~>calm(alice)))<=>(?[X]:((~funny(X)|old(X)))))&
(((~tall(paul)<~>~... | ~rich(lucy) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7287402733067043342769241
% SZS output start Proof for 7287402733067043342769241
2. ! [X0] : (quiet(X0) <=> rich(X0)) [input p1]
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p2]
23. rich(lucy) [input hypothesis]
36. ! [X0] : ((quiet(X0) | ~rich(X0)) & (ric... | 0 |
Everyone who is both brave and not old is calm.
Everyone who is not humble is not tall or not creative.
Everyone who is tall or strong is strong or not happy and vice versa.
Everyone who is funny or strong is both not generous and creative and vice versa.
If john is funny then someone is both not tall and not creative ... | Mary is tall. | entailment | (![X]:((brave(X)&~old(X))=>calm(X)))&
(![X]:(~humble(X)=>(~tall(X)|~creative(X))))&
(![X]:((tall(X)|strong(X))<=>(strong(X)|~happy(X))))&
(![X]:((funny(X)|strong(X))<=>(~generous(X)&creative(X))))&
((funny(john))<=>(?[X]:((~tall(X)&~creative(X)))))&
(![X]:(happy(X)<=>(generous(X)&wise(X))))&
((?[X]:((tall(X)<~>patient(... | tall(mary) | [
"p2",
"p3",
"p5",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 338222576103068584955105
% SZS output start Proof for 338222576103068584955105
3. ! [X0] : ((strong(X0) | tall(X0)) <=> (~happy(X0) | strong(X0))) [input p2]
4. ! [X0] : ((strong(X0) | funny(X0)) <=> (creative(X0) & ~generous(X0))) [input p3]
6. ! [X0] : (happy(X0) <=> (wise(X0) & generou... | 0 |
If fred is either not strong or brave then mary is both kind and happy.
Everyone who is either not calm or strong is not calm.
If someone is wise then someone is either not curious or funny.
Everyone who is curious or generous is both not strong and humble and vice versa.
Everyone who is creative or old is happy or kin... | John is wise. | neutral | (((~strong(fred)<~>brave(fred)))=>((kind(mary)&happy(mary))))&
(![X]:((~calm(X)<~>strong(X))=>~calm(X)))&
((?[X]:(wise(X)))=>(?[X]:((~curious(X)<~>funny(X)))))&
(![X]:((curious(X)|generous(X))<=>(~strong(X)&humble(X))))&
(![X]:((creative(X)|old(X))=>(happy(X)|kind(X))))&
(![X]:(curious(X)=>(brave(X)&~calm(X))))&
((?[X]... | wise(john) | [] | null | 0 |
If someone is either strong or calm then someone is both not patient and generous.
Everyone who is either calm or old is not generous or patient.
Everyone who is not patient or not curious is not kind or not humble.
Everyone who is either not humble or not generous is both not creative and wise and vice versa.
Everyone... | Paul is not quiet. | neutral | ((?[X]:((strong(X)<~>calm(X))))=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:((calm(X)<~>old(X))=>(~generous(X)|patient(X))))&
(![X]:((~patient(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~creative(X)&wise(X))))&
(![X]:((~old(X)|~strong(X))=>(creative(X)<~>old(X))))&
(![X]:((~strong(X... | ~quiet(paul) | [] | null | 0 |
Everyone who is not brave or humble is brave.
Everyone who is old is either patient or strong.
If alice is both not curious and curious then john is generous or rich.
If someone is either funny or not patient then paul is curious and vice versa.
If paul is not creative or curious then someone is not rich or kind.
If fr... | Mary is not brave. | contradiction | (![X]:((~brave(X)|humble(X))=>brave(X)))&
(![X]:(old(X)=>(patient(X)<~>strong(X))))&
(((~curious(alice)&curious(alice)))=>((generous(john)|rich(john))))&
((?[X]:((funny(X)<~>~patient(X))))<=>(curious(paul)))&
(((~creative(paul)|curious(paul)))=>(?[X]:((~rich(X)|kind(X)))))&
(((~brave(fred)|~wise(fred)))=>(?[X]:(~curiou... | ~brave(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7834076326458468412802131
% SZS output start Proof for 7834076326458468412802131
1. ! [X0] : ((humble(X0) | ~brave(X0)) => brave(X0)) [input p0]
24. ~brave(mary) [input hypothesis]
30. ! [X0] : (~brave(X0) => brave(X0)) [pure predicate removal 1]
31. ! [X0] : (brave(X0) | brave(X0)) [ennf... | 0 |
If someone is either patient or brave then alice is funny or not tall.
Everyone who is either not rich or not creative is both not humble and not calm and vice versa.
Everyone who is both not tall and brave is generous or not tall and vice versa.
Everyone who is both not creative and not humble is either patient or bra... | Susan is not patient. | contradiction | ((?[X]:((patient(X)<~>brave(X))))=>((funny(alice)|~tall(alice))))&
(![X]:((~rich(X)<~>~creative(X))<=>(~humble(X)&~calm(X))))&
(![X]:((~tall(X)&brave(X))<=>(generous(X)|~tall(X))))&
(![X]:((~creative(X)&~humble(X))<=>(patient(X)<~>brave(X))))&
((generous(john))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~strong(X)|~ta... | ~patient(susan) | [
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7235698036064304731835455
% SZS output start Proof for 7235698036064304731835455
5. generous(john) <=> ? [X0] : (patient(X0) <~> rich(X0)) [input p4]
7. ! [X0] : ((~kind(X0) & rich(X0)) <=> (~generous(X0) | generous(X0))) [input p6]
8. ! [X0] : ((strong(X0) | generous(X0)) <=> ~old(X0)) [... | 0 |
Everyone who is kind or not wise is not quiet.
Everyone who is quiet is rich and vice versa.
Everyone who is either not humble or humble is both wise and not quiet and vice versa.
If paul is both kind and patient then someone is curious or not quiet.
Everyone who is not humble is not funny or not brave and vice versa.
... | Paul is not funny. | neutral | (![X]:((kind(X)|~wise(X))=>~quiet(X)))&
(![X]:(quiet(X)<=>rich(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(wise(X)&~quiet(X))))&
(((kind(paul)&patient(paul)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(~humble(X)<=>(~funny(X)|~brave(X))))&
(((patient(alice)<~>calm(alice)))<=>(?[X]:((~funny(X)|old(X)))))&
(((~tall(paul)<~>~... | ~funny(paul) | [] | null | 0 |
If alice is curious or generous then someone is humble or not wise and vice versa.
Everyone who is strong or not humble is both humble and calm.
If someone is both generous and funny then someone is either funny or quiet and vice versa.
Everyone who is both not funny and not quiet is calm and vice versa.
If lucy is not... | Mary is not quiet. | entailment | (((curious(alice)|generous(alice)))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((strong(X)|~humble(X))=>(humble(X)&calm(X))))&
((?[X]:((generous(X)&funny(X))))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>calm(X)))&
(((~rich(lucy)|strong(lucy)))<=>((~creative(paul)<~>kind(paul))))&
((?[X]:((~tall(X)<~... | ~quiet(mary) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5846778076535272110947587
% SZS output start Proof for 5846778076535272110947587
2. ! [X0] : ((~humble(X0) | strong(X0)) => (calm(X0) & humble(X0))) [input p1]
3. ? [X0] : (funny(X0) & generous(X0)) <=> ? [X0] : (funny(X0) <~> quiet(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <... | 0 |
If alice is patient then alice is either creative or not tall and vice versa.
Everyone who is calm is either kind or not rich.
If alice is not calm then someone is either not wise or patient.
If lucy is calm or not old then lucy is either not calm or not wise.
If someone is either not humble or humble then mary is both... | Lucy is not rich. | contradiction | ((patient(alice))<=>((creative(alice)<~>~tall(alice))))&
(![X]:(calm(X)=>(kind(X)<~>~rich(X))))&
((~calm(alice))=>(?[X]:((~wise(X)<~>patient(X)))))&
(((calm(lucy)|~old(lucy)))=>((~calm(lucy)<~>~wise(lucy))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((calm(mary)&~quiet(mary))))&
(![X]:((generous(X)|~funny(X))<=>(brave(X)&k... | ~rich(lucy) | [
"p5",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6591653130908651102759696
% SZS output start Proof for 6591653130908651102759696
6. ! [X0] : ((~funny(X0) | generous(X0)) <=> (kind(X0) & brave(X0))) [input p5]
7. (~brave(lucy) & happy(lucy)) <=> ? [X0] : (~calm(X0) | ~rich(X0)) [input p6]
9. ! [X0] : (old(X0) <=> ~rich(X0)) [input p8]
1... | 0 |
If someone is not humble then lucy is patient or not brave.
If someone is not quiet then someone is both not humble and kind.
If someone is not quiet then lucy is not curious.
Everyone who is both happy and not calm is either calm or old.
Everyone who is both not brave and not happy is both happy and quiet and vice ver... | Lucy is not happy. | entailment | ((?[X]:(~humble(X)))=>((patient(lucy)|~brave(lucy))))&
((?[X]:(~quiet(X)))=>(?[X]:((~humble(X)&kind(X)))))&
((?[X]:(~quiet(X)))=>(~curious(lucy)))&
(![X]:((happy(X)&~calm(X))=>(calm(X)<~>old(X))))&
(![X]:((~brave(X)&~happy(X))<=>(happy(X)&quiet(X))))&
(![X]:((~kind(X)|~humble(X))=>(curious(X)|~generous(X))))&
(![X]:((p... | ~happy(lucy) | [
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4606728967949655109285815
% SZS output start Proof for 4606728967949655109285815
3. ? [X0] : ~quiet(X0) => ~curious(lucy) [input p2]
5. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (quiet(X0) & happy(X0))) [input p4]
19. generous(lucy) & curious(lucy) [input p18]
24. happy(lucy) [input hypothe... | 0 |
If someone is old then paul is both not tall and not quiet and vice versa.
If lucy is curious then mary is either generous or patient.
Everyone who is not patient is old.
Everyone who is kind or strong is both not creative and calm and vice versa.
If alice is not happy or not tall then paul is both not patient and crea... | Paul is generous. | contradiction | ((?[X]:(old(X)))<=>((~tall(paul)&~quiet(paul))))&
((curious(lucy))=>((generous(mary)<~>patient(mary))))&
(![X]:(~patient(X)=>old(X)))&
(![X]:((kind(X)|strong(X))<=>(~creative(X)&calm(X))))&
(((~happy(alice)|~tall(alice)))=>((~patient(paul)&creative(paul))))&
((patient(mary))<=>((creative(fred)&wise(fred))))&
(![X]:(bra... | generous(paul) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3497470447122446725872676
% SZS output start Proof for 3497470447122446725872676
1. ? [X0] : old(X0) <=> (~quiet(paul) & ~tall(paul)) [input p0]
3. ! [X0] : (~patient(X0) => old(X0)) [input p2]
4. ! [X0] : ((strong(X0) | kind(X0)) <=> (calm(X0) & ~creative(X0))) [input p3]
5. (~tall(alice... | 0 |
Everyone who is creative is not strong or happy.
Everyone who is either not generous or brave is both brave and not brave.
Everyone who is both patient and not brave is not calm or wise and vice versa.
If lucy is strong then john is both not patient and not old.
If someone is both not strong and rich then john is both ... | Mary is not kind. | contradiction | (![X]:(creative(X)=>(~strong(X)|happy(X))))&
(![X]:((~generous(X)<~>brave(X))=>(brave(X)&~brave(X))))&
(![X]:((patient(X)&~brave(X))<=>(~calm(X)|wise(X))))&
((strong(lucy))=>((~patient(john)&~old(john))))&
((?[X]:((~strong(X)&rich(X))))=>((~humble(john)&~strong(john))))&
(![X]:((~old(X)&brave(X))<=>(~generous(X)&~creat... | ~kind(mary) | [
"p7",
"p13",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3885597990878945094759401
% SZS output start Proof for 3885597990878945094759401
8. ! [X0] : (~creative(X0) => (~quiet(X0) & calm(X0))) [input p7]
14. ! [X0] : ((calm(X0) & ~kind(X0)) <=> strong(X0)) [input p13]
18. ~creative(mary) & ~generous(mary) [input p17]
20. ~strong(mary) [input p1... | 0 |
If someone is not old then susan is strong or tall and vice versa. If someone is quiet then fred is not kind. Everyone who is generous is not brave and vice versa. Everyone who is both curious and not funny is both rich and creative and vice versa. If someone is not kind or patient then someone is either strong or not ... | Susan is happy. | entailment | ((?[X]:(~old(X)))<=>((strong(susan)|tall(susan))))&
((?[X]:(quiet(X)))=>(~kind(fred)))&
(![X]:(generous(X)<=>~brave(X)))&
(![X]:((curious(X)&~funny(X))<=>(rich(X)&creative(X))))&
((?[X]:((~kind(X)|patient(X))))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~kind(lucy)&~patient(lucy)))<=>(~old(mary)))&
(![X]:(generous(X)<=>(p... | happy(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2705665492454404202392208
% SZS output start Proof for 2705665492454404202392208
19. happy(susan) & ~funny(susan) [input p18]
25. ~happy(susan) [input hypothesis]
135. happy(susan) [cnf transformation 19]
142. ~happy(susan) [cnf transformation 25]
314. $false [subsumption resolution 142,1... | 0 |
Everyone who is either not creative or not generous is not happy. Everyone who is not tall or not generous is both not old and not patient. Everyone who is rich or creative is old or not patient and vice versa. Everyone who is either not old or kind is not creative or not humble and vice versa. If someone is not strong... | John is not old. | entailment | (![X]:((~creative(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)|~generous(X))=>(~old(X)&~patient(X))))&
(![X]:((rich(X)|creative(X))<=>(old(X)|~patient(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>funny(X))))<=>(?[X]:((... | ~old(john) | [
"p3",
"p8",
"p9",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1900440083253168431258429
% SZS output start Proof for 1900440083253168431258429
4. ! [X0] : ((~old(X0) <~> kind(X0)) <=> (~humble(X0) | ~creative(X0))) [input p3]
9. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (brave(X0) | humble(X0))) [input p8]
10. ! [X0] : (calm(X0) <=> brave(X0)) [input... | 0 |
If someone is both not kind and not strong then mary is either strong or not patient. Everyone who is either not humble or not funny is both calm and not creative. Everyone who is either calm or tall is either generous or calm and vice versa. Everyone who is either not old or patient is funny. Everyone who is not patie... | Susan is not strong. | entailment | ((?[X]:((~kind(X)&~strong(X))))=>((strong(mary)<~>~patient(mary))))&
(![X]:((~humble(X)<~>~funny(X))=>(calm(X)&~creative(X))))&
(![X]:((calm(X)<~>tall(X))<=>(generous(X)<~>calm(X))))&
(![X]:((~old(X)<~>patient(X))=>funny(X)))&
(![X]:(~patient(X)<=>~strong(X)))&
((~humble(fred))<=>(?[X]:((patient(X)&rich(X)))))&
(![X]:(... | ~strong(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1328935273697599041447340
% SZS output start Proof for 1328935273697599041447340
15. ! [X0] : ((strong(X0) | patient(X0)) => (~strong(X0) & brave(X0))) [input p14]
24. strong(susan) [input hypothesis]
30. ! [X0] : ((~strong(X0) & brave(X0)) | (~strong(X0) & ~patient(X0))) [ennf transforma... | 0 |
If john is both calm and not strong then someone is either not curious or tall and vice versa.
Everyone who is either creative or not quiet is quiet or not quiet.
If someone is tall then john is wise.
If someone is happy then someone is not generous.
If alice is not humble then someone is either not rich or strong.
If ... | Alice is old. | entailment | (((calm(john)&~strong(john)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((creative(X)<~>~quiet(X))=>(quiet(X)|~quiet(X))))&
((?[X]:(tall(X)))=>(wise(john)))&
((?[X]:(happy(X)))=>(?[X]:(~generous(X))))&
((~humble(alice))=>(?[X]:((~rich(X)<~>strong(X)))))&
((?[X]:(~wise(X)))<=>((~creative(alice)<~>creative(alice))))&
(!... | old(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6154877614201189319533957
% SZS output start Proof for 6154877614201189319533957
13. ! [X0] : (~humble(X0) <=> (~old(X0) & humble(X0))) [input p12]
24. ~old(alice) [input hypothesis]
62. ! [X0] : ((~humble(X0) | (old(X0) | ~humble(X0))) & ((~old(X0) & humble(X0)) | humble(X0))) [nnf trans... | 0 |
If lucy is wise then mary is funny. Everyone who is not rich is not old and vice versa. If someone is not generous then someone is either not generous or not strong and vice versa. Everyone who is not wise is not generous and vice versa. If lucy is both funny and not funny then alice is not kind or not tall. If someone... | John is curious. | entailment | ((wise(lucy))=>(funny(mary)))&
(![X]:(~rich(X)<=>~old(X)))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(((funny(lucy)&~funny(lucy)))=>((~kind(alice)|~tall(alice))))&
((?[X]:((~quiet(X)&generous(X))))=>(?[X]:((generous(X)&~humble(X)))))&
(![X]:((funny(X)<~>~humble(X... | curious(john) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 334393501879826195830834
% SZS output start Proof for 334393501879826195830834
8. ! [X0] : ((~curious(X0) | happy(X0)) <=> tall(X0)) [input p7]
17. ~tall(john) & humble(john) [input p16]
24. ~curious(john) [input hypothesis]
53. ! [X0] : (((~curious(X0) | happy(X0)) | ~tall(X0)) & (tall(X... | 0 |
Everyone who is not patient or not calm is either generous or tall and vice versa. Everyone who is either not wise or generous is either not old or funny. Everyone who is not wise is not brave or happy and vice versa. Everyone who is both wise and not kind is strong or not brave. Everyone who is either not creative or ... | John is not creative. | neutral | (![X]:((~patient(X)|~calm(X))<=>(generous(X)<~>tall(X))))&
(![X]:((~wise(X)<~>generous(X))=>(~old(X)<~>funny(X))))&
(![X]:(~wise(X)<=>(~brave(X)|happy(X))))&
(![X]:((wise(X)&~kind(X))=>(strong(X)|~brave(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(humble(X)|~patient(X))))&
(![X]:(~old(X)<=>(~brave(X)&old(X))))&
(![X]:((pa... | ~creative(john) | [] | null | 0 |
Everyone who is both wise and not creative is both calm and not patient. Everyone who is not kind or calm is kind or rich. Everyone who is not old or not creative is either not humble or not tall and vice versa. Everyone who is not calm or kind is not kind or not strong and vice versa. If fred is old or not brave then ... | Mary is not strong. | contradiction | (![X]:((wise(X)&~creative(X))=>(calm(X)&~patient(X))))&
(![X]:((~kind(X)|calm(X))=>(kind(X)|rich(X))))&
(![X]:((~old(X)|~creative(X))<=>(~humble(X)<~>~tall(X))))&
(![X]:((~calm(X)|kind(X))<=>(~kind(X)|~strong(X))))&
(((old(fred)|~brave(fred)))=>((~funny(lucy)|~brave(lucy))))&
(![X]:((funny(X)&~happy(X))=>(generous(X)<~... | ~strong(mary) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8461109554551766184725714
% SZS output start Proof for 8461109554551766184725714
16. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> patient(X0)) [input p15]
22. patient(mary) <~> ~rich(mary) [input p21]
25. ~strong(mary) [input hypothesis]
63. ! [X0] : ((((strong(X0) | ~rich(X0)) & (~strong(X0)... | 0 |
Everyone who is both old and generous is either tall or not quiet.
If mary is both funny and not calm then someone is calm or not patient.
If lucy is either brave or creative then someone is humble.
If lucy is both not kind and happy then paul is not kind and vice versa.
If mary is calm then someone is brave and vice v... | Lucy is creative. | neutral | (![X]:((old(X)&generous(X))=>(tall(X)<~>~quiet(X))))&
(((funny(mary)&~calm(mary)))=>(?[X]:((calm(X)|~patient(X)))))&
(((brave(lucy)<~>creative(lucy)))=>(?[X]:(humble(X))))&
(((~kind(lucy)&happy(lucy)))<=>(~kind(paul)))&
((calm(mary))<=>(?[X]:(brave(X))))&
(![X]:((~creative(X)|humble(X))=>funny(X)))&
(![X]:((~happy(X)<~... | creative(lucy) | [] | null | 0 |
Everyone who is patient is old or not creative and vice versa.
If lucy is either not quiet or not humble then someone is both not calm and old.
Everyone who is not creative is either not kind or not strong.
Everyone who is not tall or kind is not humble or not patient.
Everyone who is either funny or curious is not bra... | Alice is old. | contradiction | (![X]:(patient(X)<=>(old(X)|~creative(X))))&
(((~quiet(lucy)<~>~humble(lucy)))=>(?[X]:((~calm(X)&old(X)))))&
(![X]:(~creative(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((~tall(X)|kind(X))=>(~humble(X)|~patient(X))))&
(![X]:((funny(X)<~>curious(X))=>~brave(X)))&
(((~quiet(paul)&~funny(paul)))=>(tall(lucy)))&
(![X]:((funny(X)... | old(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1922030132493812296257944
% SZS output start Proof for 1922030132493812296257944
23. ~old(alice) & happy(alice) [input p22]
25. old(alice) [input hypothesis]
136. ~old(alice) [cnf transformation 23]
139. old(alice) [cnf transformation 25]
247. 25 <=> old(alice) [avatar definition]
299. ~2... | 0 |
Everyone who is either brave or not happy is both generous and not generous and vice versa.
If john is both quiet and calm then alice is both curious and humble.
Everyone who is either not quiet or not calm is either rich or strong and vice versa.
Everyone who is not strong or not generous is not quiet and vice versa.
... | Paul is strong. | entailment | (![X]:((brave(X)<~>~happy(X))<=>(generous(X)&~generous(X))))&
(((quiet(john)&calm(john)))=>((curious(alice)&humble(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(... | strong(paul) | [
"p0",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 782776943396434992230092
% SZS output start Proof for 782776943396434992230092
1. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
10. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (~rich(X0) <~> ~happy(X0))) [input p9]
11. ! [X0] : ((strong(X0) & ~rich(X0)) <=... | 0 |
Everyone who is wise or generous is humble or curious.
If mary is both wise and not happy then someone is not old.
Everyone who is both not creative and happy is either humble or creative and vice versa.
If someone is either not rich or not quiet then someone is not rich and vice versa.
Everyone who is curious or not p... | Alice is humble. | entailment | (![X]:((wise(X)|generous(X))=>(humble(X)|curious(X))))&
(((wise(mary)&~happy(mary)))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)&happy(X))<=>(humble(X)<~>creative(X))))&
((?[X]:((~rich(X)<~>~quiet(X))))<=>(?[X]:(~rich(X))))&
(![X]:((curious(X)|~patient(X))<=>(~generous(X)&~happy(X))))&
(((~rich(paul)&rich(paul)))<=>((kind... | humble(alice) | [
"p0",
"p2",
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3618382864533128244411661
% SZS output start Proof for 3618382864533128244411661
1. ! [X0] : ((generous(X0) | wise(X0)) => (curious(X0) | humble(X0))) [input p0]
3. ! [X0] : ((happy(X0) & ~creative(X0)) <=> (humble(X0) <~> creative(X0))) [input p2]
5. ! [X0] : ((~patient(X0) | curious(X0)... | 0 |
Everyone who is either curious or patient is strong or not humble and vice versa. Everyone who is calm or not old is both brave and rich. Everyone who is happy or generous is both not wise and calm. If fred is both not wise and funny then lucy is both not curious and strong. If someone is not old then someone is both n... | Lucy is curious. | entailment | (![X]:((curious(X)<~>patient(X))<=>(strong(X)|~humble(X))))&
(![X]:((calm(X)|~old(X))=>(brave(X)&rich(X))))&
(![X]:((happy(X)|generous(X))=>(~wise(X)&calm(X))))&
(((~wise(fred)&funny(fred)))=>((~curious(lucy)&strong(lucy))))&
((?[X]:(~old(X)))=>(?[X]:((~strong(X)&humble(X)))))&
(![X]:((kind(X)|~strong(X))<=>(creative(X... | curious(lucy) | [
"p7",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8919019634482485059953364
% SZS output start Proof for 8919019634482485059953364
8. (brave(lucy) & strong(lucy)) <=> ? [X0] : (brave(X0) | ~strong(X0)) [input p7]
12. ? [X0] : (happy(X0) <~> ~happy(X0)) <=> ? [X0] : (~strong(X0) & quiet(X0)) [input p11]
15. ! [X0] : ((~brave(X0) <~> gener... | 0 |
Everyone who is not tall or not calm is rich.
Everyone who is calm is brave and vice versa.
If someone is both not rich and not brave then john is not calm or quiet.
If paul is not generous then paul is not calm and vice versa.
If john is curious then someone is rich.
If someone is strong or brave then mary is either n... | Paul is brave. | contradiction | (![X]:((~tall(X)|~calm(X))=>rich(X)))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((~rich(X)&~brave(X))))=>((~calm(john)|quiet(john))))&
((~generous(paul))<=>(~calm(paul)))&
((curious(john))=>(?[X]:(rich(X))))&
((?[X]:((strong(X)|brave(X))))<=>((~strong(mary)<~>~curious(mary))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~rich(X))... | brave(paul) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 48392012847811344738040
% SZS output start Proof for 48392012847811344738040
2. ! [X0] : (calm(X0) <=> brave(X0)) [input p1]
4. ~generous(paul) <=> ~calm(paul) [input p3]
8. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (brave(paul) <~> generous(paul)) [input p7]
11. ! [X0] : ((~curious(X0) <~>... | 0 |
If someone is either not happy or not funny then paul is not quiet or not generous and vice versa. Everyone who is quiet is calm or not kind and vice versa. If someone is both kind and not curious then john is wise and vice versa. Everyone who is calm is tall or not brave. If fred is both tall and not happy then john i... | Susan is not patient. | neutral | ((?[X]:((~happy(X)<~>~funny(X))))<=>((~quiet(paul)|~generous(paul))))&
(![X]:(quiet(X)<=>(calm(X)|~kind(X))))&
((?[X]:((kind(X)&~curious(X))))<=>(wise(john)))&
(![X]:(calm(X)=>(tall(X)|~brave(X))))&
(((tall(fred)&~happy(fred)))<=>(creative(john)))&
((humble(john))<=>((~funny(alice)&~wise(alice))))&
(![X]:((tall(X)|brav... | ~patient(susan) | [] | null | 0 |
Everyone who is not old is curious.
Everyone who is either not old or calm is both not brave and not generous and vice versa.
Everyone who is strong is either not kind or patient and vice versa.
If paul is not patient or not calm then fred is both not patient and not kind.
Everyone who is not tall or brave is both not ... | Paul is old. | entailment | (![X]:(~old(X)=>curious(X)))&
(![X]:((~old(X)<~>calm(X))<=>(~brave(X)&~generous(X))))&
(![X]:(strong(X)<=>(~kind(X)<~>patient(X))))&
(((~patient(paul)|~calm(paul)))=>((~patient(fred)&~kind(fred))))&
(![X]:((~tall(X)|brave(X))=>(~calm(X)&~rich(X))))&
(![X]:((~generous(X)<~>old(X))=>~humble(X)))&
(![X]:(~curious(X)<=>(st... | old(paul) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3627243852124307784402223
% SZS output start Proof for 3627243852124307784402223
1. ! [X0] : (~old(X0) => curious(X0)) [input p0]
3. ! [X0] : (strong(X0) <=> (~kind(X0) <~> patient(X0))) [input p2]
4. (~calm(paul) | ~patient(paul)) => (~kind(fred) & ~patient(fred)) [input p3]
7. ! [X0] : ... | 0 |
Everyone who is both not funny and not strong is either kind or not kind.
If john is either not generous or patient then someone is not generous and vice versa.
If someone is calm or not humble then paul is not old or wise.
If someone is strong or not rich then lucy is both humble and creative.
If paul is either creati... | Paul is quiet. | contradiction | (![X]:((~funny(X)&~strong(X))=>(kind(X)<~>~kind(X))))&
(((~generous(john)<~>patient(john)))<=>(?[X]:(~generous(X))))&
((?[X]:((calm(X)|~humble(X))))=>((~old(paul)|wise(paul))))&
((?[X]:((strong(X)|~rich(X))))=>((humble(lucy)&creative(lucy))))&
(((creative(paul)<~>~brave(paul)))=>((~old(fred)<~>~curious(fred))))&
((?[X]... | quiet(paul) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7183864348897050798205763
% SZS output start Proof for 7183864348897050798205763
8. ~quiet(paul) <=> ? [X0] : (brave(X0) | funny(X0)) [input p7]
14. (kind(paul) & funny(paul)) <=> (brave(paul) <~> ~funny(paul)) [input p13]
25. quiet(paul) [input hypothesis]
46. (~quiet(paul) | ! [X0] : (~... | 0 |
If mary is both funny and tall then lucy is both not humble and not calm and vice versa.
If susan is brave or not humble then john is both kind and not humble and vice versa.
If someone is both not quiet and not funny then someone is not funny or rich.
Everyone who is not creative is both not brave and strong.
If someo... | John is not tall. | contradiction | (((funny(mary)&tall(mary)))<=>((~humble(lucy)&~calm(lucy))))&
(((brave(susan)|~humble(susan)))<=>((kind(john)&~humble(john))))&
((?[X]:((~quiet(X)&~funny(X))))=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:(~creative(X)=>(~brave(X)&strong(X))))&
((?[X]:(funny(X)))=>(?[X]:((~curious(X)|~brave(X)))))&
(![X]:((~patient(X)|~old(X)... | ~tall(john) | [
"p7",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8008793062093701026773791
% SZS output start Proof for 8008793062093701026773791
8. ! [X0] : ((~tall(X0) & calm(X0)) => (tall(X0) | humble(X0))) [input p7]
11. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~generous(X0) | ~calm(X0))) [input p10]
13. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> quiet(... | 0 |
Everyone who is both old and not curious is either not creative or not kind.
Everyone who is both strong and not humble is either not strong or tall.
Everyone who is not kind is both not curious and not humble.
Everyone who is calm or not kind is either not tall or calm and vice versa.
Everyone who is not generous is b... | Mary is brave. | contradiction | (![X]:((old(X)&~curious(X))=>(~creative(X)<~>~kind(X))))&
(![X]:((strong(X)&~humble(X))=>(~strong(X)<~>tall(X))))&
(![X]:(~kind(X)=>(~curious(X)&~humble(X))))&
(![X]:((calm(X)|~kind(X))<=>(~tall(X)<~>calm(X))))&
(![X]:(~generous(X)=>(~wise(X)&~funny(X))))&
(![X]:((patient(X)&kind(X))<=>(kind(X)<~>tall(X))))&
(![X]:((cu... | brave(mary) | [
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2111394053033039716704250
% SZS output start Proof for 2111394053033039716704250
7. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (~humble(X0) | quiet(X0))) [input p6]
11. ! [X0] : (quiet(X0) <=> (~brave(X0) & ~happy(X0))) [input p10]
12. ! [X0] : (brave(X0) => (humble(X0) & ~generous(X0))) [i... | 0 |
Everyone who is funny or not curious is either curious or not quiet and vice versa. Everyone who is both generous and happy is not brave. Everyone who is funny or happy is both calm and not rich and vice versa. Everyone who is both not curious and brave is either quiet or curious and vice versa. If someone is both not ... | Alice is curious. | contradiction | (![X]:((funny(X)|~curious(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((generous(X)&happy(X))=>~brave(X)))&
(![X]:((funny(X)|happy(X))<=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&brave(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((creative(alice)<~>wise(alice)))<=>... | curious(alice) | [
"p0",
"p2",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7975439818033128333501983
% SZS output start Proof for 7975439818033128333501983
1. ! [X0] : ((~curious(X0) | funny(X0)) <=> (curious(X0) <~> ~quiet(X0))) [input p0]
3. ! [X0] : ((happy(X0) | funny(X0)) <=> (~rich(X0) & calm(X0))) [input p2]
4. ! [X0] : ((brave(X0) & ~curious(X0)) <=> (qu... | 0 |
If mary is both not brave and happy then john is both humble and not calm and vice versa.
Everyone who is not tall is not creative and vice versa.
If alice is either humble or not generous then susan is not strong and vice versa.
Everyone who is not creative is both not humble and generous.
If someone is both not wise ... | Susan is not rich. | neutral | (((~brave(mary)&happy(mary)))<=>((humble(john)&~calm(john))))&
(![X]:(~tall(X)<=>~creative(X)))&
(((humble(alice)<~>~generous(alice)))<=>(~strong(susan)))&
(![X]:(~creative(X)=>(~humble(X)&generous(X))))&
((?[X]:((~wise(X)&~old(X))))=>((wise(john)<~>humble(john))))&
(![X]:((humble(X)&curious(X))<=>(~wise(X)<~>tall(X)))... | ~rich(susan) | [] | null | 0 |
Everyone who is funny or not happy is either not happy or not curious.
If someone is either rich or not brave then someone is curious or strong.
Everyone who is not humble is both not humble and happy and vice versa.
If someone is either not humble or curious then susan is both not curious and humble.
Everyone who is s... | Fred is not strong. | contradiction | (![X]:((funny(X)|~happy(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((rich(X)<~>~brave(X))))=>(?[X]:((curious(X)|strong(X)))))&
(![X]:(~humble(X)<=>(~humble(X)&happy(X))))&
((?[X]:((~humble(X)<~>curious(X))))=>((~curious(susan)&humble(susan))))&
(![X]:(strong(X)<=>tall(X)))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)<~>quiet... | ~strong(fred) | [
"p4",
"p8",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6548197517352304684414070
% SZS output start Proof for 6548197517352304684414070
5. ! [X0] : (strong(X0) <=> tall(X0)) [input p4]
9. ! [X0] : (creative(X0) <=> (~humble(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((strong(X0) | quiet(X0)) <=> (rich(X0) | tall(X0))) [input p9]
12. ! [X0] : ... | 0 |
If susan is not strong then someone is quiet.
Everyone who is rich or old is not funny and vice versa.
If john is not old then mary is either not wise or wise.
If fred is both generous and calm then someone is rich and vice versa.
If someone is either not creative or kind then someone is both patient and not wise and v... | Lucy is not funny. | neutral | ((~strong(susan))=>(?[X]:(quiet(X))))&
(![X]:((rich(X)|old(X))<=>~funny(X)))&
((~old(john))=>((~wise(mary)<~>wise(mary))))&
(((generous(fred)&calm(fred)))<=>(?[X]:(rich(X))))&
((?[X]:((~creative(X)<~>kind(X))))<=>(?[X]:((patient(X)&~wise(X)))))&
(![X]:((~old(X)|brave(X))=>(generous(X)|rich(X))))&
(((~generous(lucy)|~fu... | ~funny(lucy) | [] | null | 0 |
If someone is both strong and generous then paul is both not tall and not wise. Everyone who is either not creative or patient is both old and not strong. Everyone who is either not kind or not old is both not happy and funny. If someone is not patient or not calm then someone is either not curious or quiet and vice ve... | Lucy is not funny. | contradiction | ((?[X]:((strong(X)&generous(X))))=>((~tall(paul)&~wise(paul))))&
(![X]:((~creative(X)<~>patient(X))=>(old(X)&~strong(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~happy(X)&funny(X))))&
((?[X]:((~patient(X)|~calm(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)&~quiet(X))))=>((~brave(susan)|generous(susan))))&
((?[... | ~funny(lucy) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1973305770866612328928125
% SZS output start Proof for 1973305770866612328928125
3. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (funny(X0) & ~happy(X0))) [input p2]
9. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~kind(X0) <~> old(X0))) [input p8]
25. ~funny(lucy) [input hypothesis]
31. ! [X0]... | 0 |
If someone is either kind or patient then john is strong.
If mary is both not humble and brave then john is both strong and not quiet.
Everyone who is not calm is tall.
Everyone who is quiet or curious is both not kind and not humble.
Everyone who is not tall is both not creative and not brave and vice versa.
Everyone ... | Mary is not humble. | neutral | ((?[X]:((kind(X)<~>patient(X))))=>(strong(john)))&
(((~humble(mary)&brave(mary)))=>((strong(john)&~quiet(john))))&
(![X]:(~calm(X)=>tall(X)))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~brave(X))))&
(![X]:((happy(X)&patient(X))=>(old(X)&brave(X))))&
(![X]:((~patient(X)&brave... | ~humble(mary) | [] | null | 0 |
If alice is generous then someone is patient or brave. If mary is both creative and old then paul is not strong or not humble. If someone is either curious or not old then someone is both strong and not patient. If mary is either old or not tall then someone is brave. Everyone who is not generous or old is not happy. I... | Alice is not creative. | entailment | ((generous(alice))=>(?[X]:((patient(X)|brave(X)))))&
(((creative(mary)&old(mary)))=>((~strong(paul)|~humble(paul))))&
((?[X]:((curious(X)<~>~old(X))))=>(?[X]:((strong(X)&~patient(X)))))&
(((old(mary)<~>~tall(mary)))=>(?[X]:(brave(X))))&
(![X]:((~generous(X)|old(X))=>~happy(X)))&
((?[X]:((quiet(X)&~rich(X))))=>(?[X]:((p... | ~creative(alice) | [
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 961326168729201777998056
% SZS output start Proof for 961326168729201777998056
5. ! [X0] : ((old(X0) | ~generous(X0)) => ~happy(X0)) [input p4]
7. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> ~rich(X0)) [input p6]
12. ! [X0] : (~rich(X0) <=> (~wise(X0) | generous(X0))) [input p11]
16. ! [X0] : ... | 0 |
Everyone who is either wise or not patient is both not rich and generous and vice versa.
If someone is either happy or strong then mary is both not humble and not strong.
Everyone who is humble is either patient or not brave and vice versa.
Everyone who is not curious or not patient is not tall or brave.
If someone is ... | Lucy is strong. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~rich(X)&generous(X))))&
((?[X]:((happy(X)<~>strong(X))))=>((~humble(mary)&~strong(mary))))&
(![X]:(humble(X)<=>(patient(X)<~>~brave(X))))&
(![X]:((~curious(X)|~patient(X))=>(~tall(X)|brave(X))))&
((?[X]:((~brave(X)<~>~creative(X))))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((curious(X)... | strong(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6774794915209951352643359
% SZS output start Proof for 6774794915209951352643359
1. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (generous(X0) & ~rich(X0))) [input p0]
2. ? [X0] : (happy(X0) <~> strong(X0)) => (~strong(mary) & ~humble(mary)) [input p1]
3. ! [X0] : (humble(X0) <=> (patient(X0... | 0 |
Everyone who is either brave or not brave is both not calm and strong. Everyone who is either funny or rich is both funny and not humble and vice versa. If john is not old or creative then alice is either not kind or not quiet. Everyone who is either not strong or not old is funny or quiet. Everyone who is both generou... | Alice is old. | contradiction | (![X]:((brave(X)<~>~brave(X))=>(~calm(X)&strong(X))))&
(![X]:((funny(X)<~>rich(X))<=>(funny(X)&~humble(X))))&
(((~old(john)|creative(john)))=>((~kind(alice)<~>~quiet(alice))))&
(![X]:((~strong(X)<~>~old(X))=>(funny(X)|quiet(X))))&
(![X]:((generous(X)&~quiet(X))=>(patient(X)<~>brave(X))))&
((?[X]:((~tall(X)<~>wise(X))))... | old(alice) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3948840294915334740734191
% SZS output start Proof for 3948840294915334740734191
1. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (strong(X0) & ~calm(X0))) [input p0]
7. ? [X0] : (tall(X0) <~> ~quiet(X0)) => (~kind(susan) & calm(susan)) [input p6]
8. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (... | 0 |
Everyone who is either humble or not happy is both wise and not kind and vice versa.
Everyone who is not strong is not funny or humble and vice versa.
Everyone who is not happy is either curious or humble.
Everyone who is either not funny or not kind is either brave or humble.
Everyone who is brave is either not patien... | Paul is wise. | entailment | (![X]:((humble(X)<~>~happy(X))<=>(wise(X)&~kind(X))))&
(![X]:(~strong(X)<=>(~funny(X)|humble(X))))&
(![X]:(~happy(X)=>(curious(X)<~>humble(X))))&
(![X]:((~funny(X)<~>~kind(X))=>(brave(X)<~>humble(X))))&
(![X]:(brave(X)=>(~patient(X)<~>~tall(X))))&
(((~happy(alice)|~old(alice)))<=>(?[X]:((quiet(X)&~brave(X)))))&
(![X]:(... | wise(paul) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 405534713895619577432510
% SZS output start Proof for 405534713895619577432510
1. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> (~kind(X0) & wise(X0))) [input p0]
4. ! [X0] : ((~funny(X0) <~> ~kind(X0)) => (brave(X0) <~> humble(X0))) [input p3]
7. ! [X0] : (funny(X0) <=> (~calm(X0) | ~humble(... | 0 |
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