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 alice is both curious and old then someone is both not calm and old and vice versa.
Everyone who is funny or not creative is either not quiet or calm.
Everyone who is wise or not tall is not calm or humble.
If lucy is calm then lucy is either funny or not quiet.
If someone is not curious or happy then someone is eit... | Lucy is not creative. | entailment | (((curious(alice)&old(alice)))<=>(?[X]:((~calm(X)&old(X)))))&
(![X]:((funny(X)|~creative(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((wise(X)|~tall(X))=>(~calm(X)|humble(X))))&
((calm(lucy))=>((funny(lucy)<~>~quiet(lucy))))&
((?[X]:((~curious(X)|happy(X))))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((tall(X)|~funny(X))<=>(st... | ~creative(lucy) | [
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7037427194655628406522499
% SZS output start Proof for 7037427194655628406522499
6. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~creative(X0) & strong(X0))) [input p5]
8. ! [X0] : ((~rich(X0) & ~creative(X0)) <=> (~funny(X0) <~> ~patient(X0))) [input p7]
12. ! [X0] : (~tall(X0) <=> ~patient(X0... | 0 |
If paul is either not rich or not happy then someone is either kind or not curious and vice versa.
If someone is strong or humble then someone is either not wise or tall and vice versa.
If someone is not patient then someone is curious.
Everyone who is both not tall and not rich is either kind or not old.
Everyone who ... | Alice is wise. | entailment | (((~rich(paul)<~>~happy(paul)))<=>(?[X]:((kind(X)<~>~curious(X)))))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:((~wise(X)<~>tall(X)))))&
((?[X]:(~patient(X)))=>(?[X]:(curious(X))))&
(![X]:((~tall(X)&~rich(X))=>(kind(X)<~>~old(X))))&
(![X]:((~calm(X)<~>~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:((old(X)&happy(X))))<=>(~ol... | wise(alice) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3730828488386697353481743
% SZS output start Proof for 3730828488386697353481743
11. ? [X0] : (~curious(X0) <~> ~wise(X0)) => (~wise(mary) & wise(mary)) [input p10]
23. curious(alice) [input p22]
25. ~wise(alice) [input hypothesis]
34. (~wise(mary) & wise(mary)) | ! [X0] : (~curious(X0) <... | 0 |
If paul is humble then someone is either not humble or curious. Everyone who is both not old and funny is either not funny or old and vice versa. Everyone who is not wise or not funny is kind and vice versa. If mary is either not curious or not humble then john is either not curious or humble and vice versa. If john is... | Fred is not kind. | contradiction | ((humble(paul))=>(?[X]:((~humble(X)<~>curious(X)))))&
(![X]:((~old(X)&funny(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~wise(X)|~funny(X))<=>kind(X)))&
(((~curious(mary)<~>~humble(mary)))<=>((~curious(john)<~>humble(john))))&
(((curious(john)&~brave(john)))<=>(?[X]:((funny(X)&humble(X)))))&
(![X]:((~creative(X)|~generous(X)... | ~kind(fred) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4908830548956031399387009
% SZS output start Proof for 4908830548956031399387009
2. ! [X0] : ((funny(X0) & ~old(X0)) <=> (~funny(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~funny(X0) | ~wise(X0)) <=> kind(X0)) [input p2]
22. ~kind(fred) [input hypothesis]
35. ! [X0] : (((funny(X0) & ~old(... | 0 |
Everyone who is either not rich or not humble is either brave or curious and vice versa.
Everyone who is both tall and not wise is either not brave or not patient.
If paul is both not funny and strong then someone is either old or patient and vice versa.
If someone is either not curious or humble then fred is both not ... | Paul is rich. | contradiction | (![X]:((~rich(X)<~>~humble(X))<=>(brave(X)<~>curious(X))))&
(![X]:((tall(X)&~wise(X))=>(~brave(X)<~>~patient(X))))&
(((~funny(paul)&strong(paul)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((~curious(X)<~>humble(X))))<=>((~curious(fred)&~strong(fred))))&
(![X]:((tall(X)|~tall(X))<=>~humble(X)))&
(((~calm(fred)|~rich(fr... | rich(paul) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8655870204857432092568088
% SZS output start Proof for 8655870204857432092568088
1. ! [X0] : ((~rich(X0) <~> ~humble(X0)) <=> (brave(X0) <~> curious(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & tall(X0)) => (~brave(X0) <~> ~patient(X0))) [input p1]
5. ! [X0] : ((~tall(X0) | tall(X0)) <=> ~h... | 0 |
If someone is either not wise or happy then someone is either not wise or not funny and vice versa.
Everyone who is both not strong and not old is both generous and kind and vice versa.
If someone is not generous then john is both not tall and creative and vice versa.
If someone is either not wise or rich then someone ... | Alice is tall. | neutral | ((?[X]:((~wise(X)<~>happy(X))))<=>(?[X]:((~wise(X)<~>~funny(X)))))&
(![X]:((~strong(X)&~old(X))<=>(generous(X)&kind(X))))&
((?[X]:(~generous(X)))<=>((~tall(john)&creative(john))))&
((?[X]:((~wise(X)<~>rich(X))))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:((~generous(X)<~>~humble(X))=>(patient(X)|~tall(X))))&
(![X]:(~t... | tall(alice) | [] | null | 0 |
Everyone who is calm is both not generous and not curious. Everyone who is either not old or creative is both not curious and not wise. Everyone who is quiet or rich is both not strong and not creative and vice versa. Everyone who is either not tall or old is either kind or patient. If susan is both calm and tall then ... | Fred is humble. | contradiction | (![X]:(calm(X)=>(~generous(X)&~curious(X))))&
(![X]:((~old(X)<~>creative(X))=>(~curious(X)&~wise(X))))&
(![X]:((quiet(X)|rich(X))<=>(~strong(X)&~creative(X))))&
(![X]:((~tall(X)<~>old(X))=>(kind(X)<~>patient(X))))&
(((calm(susan)&tall(susan)))=>((~patient(paul)&~generous(paul))))&
(![X]:((happy(X)&~old(X))=>(creative(X... | humble(fred) | [
"p2",
"p8",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7652433862190716327548845
% SZS output start Proof for 7652433862190716327548845
3. ! [X0] : ((rich(X0) | quiet(X0)) <=> (~creative(X0) & ~strong(X0))) [input p2]
9. ? [X0] : (~quiet(X0) <~> creative(X0)) <=> ? [X0] : ~patient(X0) [input p8]
10. ! [X0] : (~brave(X0) <=> (brave(X0) & funny... | 0 |
If fred is either not old or not quiet then paul is either not happy or patient and vice versa.
If fred is both not tall and not kind then someone is not humble or not wise and vice versa.
Everyone who is rich or old is not wise.
If mary is not old or not strong then someone is not funny.
Everyone who is funny is not r... | Susan is not wise. | neutral | (((~old(fred)<~>~quiet(fred)))<=>((~happy(paul)<~>patient(paul))))&
(((~tall(fred)&~kind(fred)))<=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((rich(X)|old(X))=>~wise(X)))&
(((~old(mary)|~strong(mary)))=>(?[X]:(~funny(X))))&
(![X]:(funny(X)<=>(~rich(X)|~funny(X))))&
(![X]:(~curious(X)=>(humble(X)|~humble(X))))&
((?[X]:((~o... | ~wise(susan) | [] | null | 0 |
Everyone who is both not tall and not kind is funny or brave and vice versa.
If john is quiet then john is either humble or curious and vice versa.
Everyone who is generous is either tall or quiet.
If someone is either not wise or kind then john is both brave and not strong.
Everyone who is not brave is both brave and ... | Paul is not patient. | entailment | (![X]:((~tall(X)&~kind(X))<=>(funny(X)|brave(X))))&
((quiet(john))<=>((humble(john)<~>curious(john))))&
(![X]:(generous(X)=>(tall(X)<~>quiet(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((brave(john)&~strong(john))))&
(![X]:(~brave(X)=>(brave(X)&~brave(X))))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(... | ~patient(paul) | [
"p4",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3710334694450824528467759
% SZS output start Proof for 3710334694450824528467759
5. ! [X0] : (~brave(X0) => (~brave(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & calm(X0)) => ~brave(X0)) [input p5]
7. ? [X0] : (curious(X0) | ~old(X0)) => (humble(mary) & calm(mary)) [input p6]
8.... | 0 |
Everyone who is not patient or not brave is either creative or funny and vice versa.
If alice is creative then susan is not strong or not wise and vice versa.
If someone is both brave and strong then fred is both kind and not curious and vice versa.
Everyone who is not happy is happy or kind.
Everyone who is not rich i... | Alice is not kind. | contradiction | (![X]:((~patient(X)|~brave(X))<=>(creative(X)<~>funny(X))))&
((creative(alice))<=>((~strong(susan)|~wise(susan))))&
((?[X]:((brave(X)&strong(X))))<=>((kind(fred)&~curious(fred))))&
(![X]:(~happy(X)=>(happy(X)|kind(X))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
((?[X]:((~brave(X)&~generous(X))))<=>((~old(mary)|patient... | ~kind(alice) | [
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 141753600215592163956856
% SZS output start Proof for 141753600215592163956856
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p6]
8. ? [X0] : ~creative(X0) => (kind(alice) | patient(alice)) [input p7]
10. ! [X0] : (~humble(X0) => (creative(X0) <~> ~kind(X... | 0 |
Everyone who is not happy is both not kind and humble and vice versa. If alice is either not funny or curious then someone is either not quiet or quiet and vice versa. Everyone who is either strong or not wise is either not quiet or patient. Everyone who is either not curious or not happy is not rich. If someone is bot... | Susan is not wise. | neutral | (![X]:(~happy(X)<=>(~kind(X)&humble(X))))&
(((~funny(alice)<~>curious(alice)))<=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((strong(X)<~>~wise(X))=>(~quiet(X)<~>patient(X))))&
(![X]:((~curious(X)<~>~happy(X))=>~rich(X)))&
((?[X]:((happy(X)&~tall(X))))=>((funny(susan)&~strong(susan))))&
(((~happy(susan)&~calm(susan)))=>((... | ~wise(susan) | [] | null | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | John is creative. | entailment | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | creative(john) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5192330697048709442526506
% SZS output start Proof for 5192330697048709442526506
2. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p1]
6. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (strong(X0) | ~rich(X0))) [input p5]
8. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input... | 0 |
If mary is both not quiet and not curious then mary is tall and vice versa. If someone is both kind and generous then john is both patient and funny. If alice is both happy and funny then someone is generous. If paul is not happy or not kind then someone is both funny and not humble and vice versa. If mary is both not ... | Mary is quiet. | contradiction | (((~quiet(mary)&~curious(mary)))<=>(tall(mary)))&
((?[X]:((kind(X)&generous(X))))=>((patient(john)&funny(john))))&
(((happy(alice)&funny(alice)))=>(?[X]:(generous(X))))&
(((~happy(paul)|~kind(paul)))<=>(?[X]:((funny(X)&~humble(X)))))&
(((~old(mary)&~funny(mary)))=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((kind(X)<~>~stro... | quiet(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4437121319839766348178814
% SZS output start Proof for 4437121319839766348178814
13. ! [X0] : (~quiet(X0) <=> (~kind(X0) | quiet(X0))) [input p12]
22. quiet(mary) [input hypothesis]
55. ! [X0] : ((~quiet(X0) | (kind(X0) & ~quiet(X0))) & ((~kind(X0) | quiet(X0)) | quiet(X0))) [nnf transfor... | 0 |
Everyone who is both not curious and not calm is not curious or not funny and vice versa.
If someone is kind or old then susan is either funny or not calm.
If mary is strong or not tall then someone is not quiet.
If someone is not patient or patient then paul is not rich or not tall.
Everyone who is not generous or not... | Mary is calm. | contradiction | (![X]:((~curious(X)&~calm(X))<=>(~curious(X)|~funny(X))))&
((?[X]:((kind(X)|old(X))))=>((funny(susan)<~>~calm(susan))))&
(((strong(mary)|~tall(mary)))=>(?[X]:(~quiet(X))))&
((?[X]:((~patient(X)|patient(X))))=>((~rich(paul)|~tall(paul))))&
(![X]:((~generous(X)|~strong(X))<=>(~happy(X)&humble(X))))&
((?[X]:((~old(X)&humb... | calm(mary) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 610412316212613764175704
% SZS output start Proof for 610412316212613764175704
1. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (~funny(X0) | ~curious(X0))) [input p0]
24. ~patient(mary) & ~curious(mary) [input p23]
25. calm(mary) [input hypothesis]
41. ! [X0] : (((~calm(X0) & ~curious(X0)) | ... | 0 |
Everyone who is either not patient or not happy is not calm. Everyone who is not old or wise is either rich or strong. If someone is both wise and not humble then someone is not generous or happy. Everyone who is not rich or not kind is either happy or not funny and vice versa. If someone is old then alice is not funny... | Lucy is generous. | contradiction | (![X]:((~patient(X)<~>~happy(X))=>~calm(X)))&
(![X]:((~old(X)|wise(X))=>(rich(X)<~>strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(happy(X)<~>~funny(X))))&
((?[X]:(old(X)))=>((~funny(alice)|old(alice))))&
(![X]:((~rich(X)&~curious(X))<=>(~kind(X)&generous(X... | generous(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7553537415072827946421246
% SZS output start Proof for 7553537415072827946421246
6. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> (generous(X0) & ~kind(X0))) [input p5]
19. ~kind(lucy) & rich(lucy) [input p18]
25. generous(lucy) [input hypothesis]
47. ! [X0] : (((~curious(X0) & ~rich(X0)) | (~... | 0 |
Everyone who is not humble is either not old or funny and vice versa.
If someone is either not wise or funny then someone is either calm or happy.
Everyone who is either creative or curious is not brave.
Everyone who is both not generous and happy is happy or not calm and vice versa.
If someone is not funny then lucy i... | Alice is not rich. | entailment | (![X]:(~humble(X)<=>(~old(X)<~>funny(X))))&
((?[X]:((~wise(X)<~>funny(X))))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((creative(X)<~>curious(X))=>~brave(X)))&
(![X]:((~generous(X)&happy(X))<=>(happy(X)|~calm(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)|~tall(lucy))))&
(![X]:(~funny(X)<=>(~funny(X)&funny(X))))&
(![X]:((~wise(... | ~rich(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6903181067606726707734674
% SZS output start Proof for 6903181067606726707734674
12. ! [X0] : ((~rich(X0) <~> kind(X0)) <=> ~kind(X0)) [input p11]
23. rich(alice) [input hypothesis]
56. ! [X0] : ((((~kind(X0) | rich(X0)) & (kind(X0) | ~rich(X0))) | kind(X0)) & (~kind(X0) | ((~rich(X0) | ~... | 0 |
Everyone who is happy or not creative is kind and vice versa.
Everyone who is not patient is either old or curious and vice versa.
Everyone who is not creative is patient and vice versa.
If someone is either happy or tall then someone is both curious and not generous and vice versa.
Everyone who is both patient and not... | John is happy. | contradiction | (![X]:((happy(X)|~creative(X))<=>kind(X)))&
(![X]:(~patient(X)<=>(old(X)<~>curious(X))))&
(![X]:(~creative(X)<=>patient(X)))&
((?[X]:((happy(X)<~>tall(X))))<=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:((patient(X)&~tall(X))=>~patient(X)))&
(![X]:((happy(X)&~happy(X))=>(~calm(X)|happy(X))))&
(![X]:((~creative(X)&creati... | happy(john) | [
"p0",
"p6",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2071446903745882228408684
% SZS output start Proof for 2071446903745882228408684
1. ! [X0] : ((~creative(X0) | happy(X0)) <=> kind(X0)) [input p0]
7. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (calm(X0) | generous(X0))) [input p6]
8. ! [X0] : ((~tall(X0) <~> calm(X0)) <=> happy(X0)) [in... | 0 |
Everyone who is either not calm or not kind is both not kind and not strong and vice versa.
Everyone who is rich is wise.
Everyone who is brave is both funny and humble and vice versa.
Everyone who is either not humble or brave is not happy or curious.
If fred is both rich and not calm then someone is either generous o... | Alice is tall. | contradiction | (![X]:((~calm(X)<~>~kind(X))<=>(~kind(X)&~strong(X))))&
(![X]:(rich(X)=>wise(X)))&
(![X]:(brave(X)<=>(funny(X)&humble(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~happy(X)|curious(X))))&
(((rich(fred)&~calm(fred)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(kind(X)<~>~rich(X))))&
(((~brave(... | tall(alice) | [
"p1",
"p2",
"p6",
"p11",
"p12",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8442935211477084411969793
% SZS output start Proof for 8442935211477084411969793
2. ! [X0] : (rich(X0) => wise(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (humble(X0) & funny(X0))) [input p2]
7. (~brave(lucy) <~> ~strong(lucy)) <=> ? [X0] : (humble(X0) & wise(X0)) [input p6]
12. ! [X0] : (... | 0 |
If mary is either kind or not calm then lucy is either not brave or not calm and vice versa.
If mary is not calm or wise then alice is strong or tall and vice versa.
Everyone who is quiet is not strong.
Everyone who is both not creative and curious is humble or curious and vice versa.
If john is not patient or not quie... | Lucy is generous. | contradiction | (((kind(mary)<~>~calm(mary)))<=>((~brave(lucy)<~>~calm(lucy))))&
(((~calm(mary)|wise(mary)))<=>((strong(alice)|tall(alice))))&
(![X]:(quiet(X)=>~strong(X)))&
(![X]:((~creative(X)&curious(X))<=>(humble(X)|curious(X))))&
(((~patient(john)|~quiet(john)))<=>(?[X]:((~patient(X)|funny(X)))))&
(((calm(susan)&kind(susan)))=>((... | generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2586949701471169207525639
% SZS output start Proof for 2586949701471169207525639
15. ! [X0] : (generous(X0) => (~strong(X0) & strong(X0))) [input p14]
25. generous(lucy) [input hypothesis]
38. ! [X0] : ((~strong(X0) & strong(X0)) | ~generous(X0)) [ennf transformation 15]
128. strong(X0) |... | 0 |
If someone is both brave and funny then lucy is either not quiet or not old.
If lucy is not kind or brave then someone is funny or patient.
Everyone who is both old and not old is either kind or generous and vice versa.
If mary is both not happy and not generous then lucy is not calm.
Everyone who is patient or not kin... | Lucy is calm. | neutral | ((?[X]:((brave(X)&funny(X))))=>((~quiet(lucy)<~>~old(lucy))))&
(((~kind(lucy)|brave(lucy)))=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((old(X)&~old(X))<=>(kind(X)<~>generous(X))))&
(((~happy(mary)&~generous(mary)))=>(~calm(lucy)))&
(![X]:((patient(X)|~kind(X))<=>happy(X)))&
((?[X]:((kind(X)<~>curious(X))))=>(?[X]:((curio... | calm(lucy) | [] | null | 0 |
Everyone who is either not strong or not patient is not calm or not quiet and vice versa.
If paul is both strong and generous then someone is patient and vice versa.
Everyone who is creative is either not rich or tall and vice versa.
If someone is wise or calm then fred is old or not tall.
If someone is creative or not... | Susan is strong. | neutral | (![X]:((~strong(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(((strong(paul)&generous(paul)))<=>(?[X]:(patient(X))))&
(![X]:(creative(X)<=>(~rich(X)<~>tall(X))))&
((?[X]:((wise(X)|calm(X))))=>((old(fred)|~tall(fred))))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((curious(paul)&generous(paul)))=>(... | strong(susan) | [] | null | 0 |
Everyone who is not tall or not creative is both not strong and generous and vice versa.
Everyone who is either quiet or not quiet is rich or not quiet.
Everyone who is both kind and not old is both not kind and not rich.
If lucy is both quiet and wise then someone is either not funny or not creative.
Everyone who is b... | John is strong. | neutral | (![X]:((~tall(X)|~creative(X))<=>(~strong(X)&generous(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(rich(X)|~quiet(X))))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&~rich(X))))&
(((quiet(lucy)&wise(lucy)))=>(?[X]:((~funny(X)<~>~creative(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~curious(X)&~calm(X))))&
(![X]:((~calm(X)<~>strong(X))<=>... | strong(john) | [] | null | 0 |
Everyone who is either not patient or not humble is either wise or rich and vice versa. If fred is not brave then alice is either quiet or not curious. Everyone who is either not creative or not happy is either happy or not calm. If lucy is not creative then susan is not happy. Everyone who is not strong or happy is no... | Lucy is not quiet. | neutral | (![X]:((~patient(X)<~>~humble(X))<=>(wise(X)<~>rich(X))))&
((~brave(fred))=>((quiet(alice)<~>~curious(alice))))&
(![X]:((~creative(X)<~>~happy(X))=>(happy(X)<~>~calm(X))))&
((~creative(lucy))=>(~happy(susan)))&
(![X]:((~strong(X)|happy(X))<=>~happy(X)))&
(![X]:((brave(X)|~patient(X))<=>old(X)))&
(![X]:(~happy(X)<=>(~cu... | ~quiet(lucy) | [] | null | 0 |
If someone is both humble and quiet then someone is not humble. Everyone who is not strong is kind and vice versa. If paul is tall then someone is either old or funny. Everyone who is creative or generous is both not quiet and tall and vice versa. Everyone who is creative is curious or not generous. Everyone who is bot... | Alice is not tall. | neutral | ((?[X]:((humble(X)&quiet(X))))=>(?[X]:(~humble(X))))&
(![X]:(~strong(X)<=>kind(X)))&
((tall(paul))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((creative(X)|generous(X))<=>(~quiet(X)&tall(X))))&
(![X]:(creative(X)=>(curious(X)|~generous(X))))&
(![X]:((patient(X)&~happy(X))=>(~calm(X)<~>calm(X))))&
(((~funny(lucy)&~rich(lucy)... | ~tall(alice) | [] | null | 0 |
Everyone who is both kind and not old is both not funny and not brave.
Everyone who is curious is brave or not brave.
If alice is not rich then susan is not happy or happy.
Everyone who is curious is kind or not strong and vice versa.
Everyone who is either creative or not wise is not brave or strong and vice versa.
Ev... | Lucy is curious. | entailment | (![X]:((kind(X)&~old(X))=>(~funny(X)&~brave(X))))&
(![X]:(curious(X)=>(brave(X)|~brave(X))))&
((~rich(alice))=>((~happy(susan)|happy(susan))))&
(![X]:(curious(X)<=>(kind(X)|~strong(X))))&
(![X]:((creative(X)<~>~wise(X))<=>(~brave(X)|strong(X))))&
(![X]:((~quiet(X)&~curious(X))=>(strong(X)|~kind(X))))&
(((generous(alice... | curious(lucy) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 598911391974796711453321
% SZS output start Proof for 598911391974796711453321
4. ! [X0] : (curious(X0) <=> (~strong(X0) | kind(X0))) [input p3]
22. ~strong(lucy) [input p21]
25. ~curious(lucy) [input hypothesis]
43. ! [X0] : ((curious(X0) | (strong(X0) & ~kind(X0))) & ((~strong(X0) | kin... | 0 |
Everyone who is both curious and patient is both not creative and not happy.
Everyone who is tall or not generous is curious and vice versa.
Everyone who is not strong or not wise is old.
If paul is both curious and not patient then fred is strong.
Everyone who is either funny or quiet is old or not tall and vice versa... | Alice is not calm. | neutral | (![X]:((curious(X)&patient(X))=>(~creative(X)&~happy(X))))&
(![X]:((tall(X)|~generous(X))<=>curious(X)))&
(![X]:((~strong(X)|~wise(X))=>old(X)))&
(((curious(paul)&~patient(paul)))=>(strong(fred)))&
(![X]:((funny(X)<~>quiet(X))<=>(old(X)|~tall(X))))&
(![X]:((tall(X)&~happy(X))<=>(~humble(X)&~happy(X))))&
(![X]:(funny(X)... | ~calm(alice) | [] | null | 0 |
If fred is not patient then alice is not rich.
Everyone who is both not curious and not creative is not humble and vice versa.
Everyone who is both not strong and not humble is rich and vice versa.
Everyone who is brave is both not calm and not funny.
Everyone who is both quiet and not generous is not calm or not wise.... | John is happy. | neutral | ((~patient(fred))=>(~rich(alice)))&
(![X]:((~curious(X)&~creative(X))<=>~humble(X)))&
(![X]:((~strong(X)&~humble(X))<=>rich(X)))&
(![X]:(brave(X)=>(~calm(X)&~funny(X))))&
(![X]:((quiet(X)&~generous(X))=>(~calm(X)|~wise(X))))&
(![X]:((funny(X)&tall(X))=>(curious(X)|generous(X))))&
(((tall(john)<~>~strong(john)))=>((happ... | happy(john) | [] | null | 0 |
Everyone who is either happy or wise is both happy and not old.
Everyone who is happy or rich is not patient.
Everyone who is either humble or patient is rich or kind and vice versa.
Everyone who is brave is both kind and patient.
Everyone who is either brave or funny is kind or patient and vice versa.
Everyone who is ... | Mary is patient. | contradiction | (![X]:((happy(X)<~>wise(X))=>(happy(X)&~old(X))))&
(![X]:((happy(X)|rich(X))=>~patient(X)))&
(![X]:((humble(X)<~>patient(X))<=>(rich(X)|kind(X))))&
(![X]:(brave(X)=>(kind(X)&patient(X))))&
(![X]:((brave(X)<~>funny(X))<=>(kind(X)|patient(X))))&
(![X]:((kind(X)|brave(X))=>(patient(X)&~brave(X))))&
((?[X]:((patient(X)&~ca... | patient(mary) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6178123322337889120986772
% SZS output start Proof for 6178123322337889120986772
1. ! [X0] : ((happy(X0) <~> wise(X0)) => (~old(X0) & happy(X0))) [input p0]
2. ! [X0] : ((rich(X0) | happy(X0)) => ~patient(X0)) [input p1]
5. ! [X0] : ((brave(X0) <~> funny(X0)) <=> (patient(X0) | kind(X0)))... | 0 |
If john is either calm or not strong then someone is calm or creative and vice versa. If fred is not rich then susan is both old and not wise and vice versa. Everyone who is both not creative and quiet is both not old and not tall. If mary is not curious or generous then someone is either not rich or patient. If susan ... | Paul is creative. | neutral | (((calm(john)<~>~strong(john)))<=>(?[X]:((calm(X)|creative(X)))))&
((~rich(fred))<=>((old(susan)&~wise(susan))))&
(![X]:((~creative(X)&quiet(X))=>(~old(X)&~tall(X))))&
(((~curious(mary)|generous(mary)))=>(?[X]:((~rich(X)<~>patient(X)))))&
(((strong(susan)&~curious(susan)))=>((~funny(paul)|funny(paul))))&
(![X]:(~curiou... | creative(paul) | [] | null | 0 |
Everyone who is not brave or funny is not happy.
If susan is curious then john is both creative and rich and vice versa.
Everyone who is not rich is not patient or not kind.
Everyone who is both quiet and old is either not creative or wise.
Everyone who is both not curious and not kind is patient or not strong.
Everyon... | Lucy is not strong. | neutral | (![X]:((~brave(X)|funny(X))=>~happy(X)))&
((curious(susan))<=>((creative(john)&rich(john))))&
(![X]:(~rich(X)=>(~patient(X)|~kind(X))))&
(![X]:((quiet(X)&old(X))=>(~creative(X)<~>wise(X))))&
(![X]:((~curious(X)&~kind(X))=>(patient(X)|~strong(X))))&
(![X]:((creative(X)<~>strong(X))<=>(patient(X)<~>~creative(X))))&
(((ki... | ~strong(lucy) | [] | null | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa.
Everyone who is not old is not funny or not calm and vice versa.
Everyone who is either not quiet or not calm is either not humble or not rich and vice versa.
If someone is either not curious or not old then someone is not funny.
If som... | Fred is not rich. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)|~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~humble(X)<~>~rich(X))))&
((?[X]:((~curious(X)<~>~old(X))))=>(?[X]:(~funny(X))))&
((?[X]:(humble(X)))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((bra... | ~rich(fred) | [] | null | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is not old or not brave is both not brave and not old.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or not old.
Everyone who is patient or... | Alice is generous. | neutral | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~old(X)|~brave(X))=>(~brave(X)&~old(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)))&
(![X]:((old(X)<~>patient(X))=>(~rich(X)&... | generous(alice) | [] | null | 0 |
If fred is kind or brave then alice is either not wise or not patient. Everyone who is wise is not strong and vice versa. Everyone who is both creative and rich is both not tall and kind and vice versa. If john is calm then fred is strong. Everyone who is not quiet is both quiet and not wise and vice versa. Everyone wh... | Paul is brave. | neutral | (((kind(fred)|brave(fred)))=>((~wise(alice)<~>~patient(alice))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((creative(X)&rich(X))<=>(~tall(X)&kind(X))))&
((calm(john))=>(strong(fred)))&
(![X]:(~quiet(X)<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>happy(X))=>(rich(X)<~>happy(X))))&
(![X]:(rich(X)=>(~calm(X)|strong(X))))&
(!... | brave(paul) | [] | null | 0 |
Everyone who is patient is both not curious and not rich and vice versa.
If someone is not happy or not calm then fred is brave or not patient and vice versa.
If someone is not old then lucy is both not quiet and not strong and vice versa.
If someone is either rich or not happy then paul is humble or not generous and v... | John is not kind. | neutral | (![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
((?[X]:((~happy(X)|~calm(X))))<=>((brave(fred)|~patient(fred))))&
((?[X]:(~old(X)))<=>((~quiet(lucy)&~strong(lucy))))&
((?[X]:((rich(X)<~>~happy(X))))<=>((humble(paul)|~generous(paul))))&
(((~creative(john)|quiet(john)))<=>((tall(mary)<~>creative(mary))))&
(![X]:(patient(X)... | ~kind(john) | [] | null | 0 |
If someone is calm or tall then someone is humble or wise. Everyone who is kind or calm is not curious or not kind and vice versa. If mary is not tall or not wise then someone is both creative and not wise. If someone is both not generous and wise then someone is either tall or not patient and vice versa. Everyone who ... | Susan is not strong. | entailment | ((?[X]:((calm(X)|tall(X))))=>(?[X]:((humble(X)|wise(X)))))&
(![X]:((kind(X)|calm(X))<=>(~curious(X)|~kind(X))))&
(((~tall(mary)|~wise(mary)))=>(?[X]:((creative(X)&~wise(X)))))&
((?[X]:((~generous(X)&wise(X))))<=>(?[X]:((tall(X)<~>~patient(X)))))&
(![X]:((kind(X)|rich(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)&~ha... | ~strong(susan) | [
"p1",
"p4",
"p5",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2888550470025290081293299
% SZS output start Proof for 2888550470025290081293299
2. ! [X0] : ((calm(X0) | kind(X0)) <=> (~kind(X0) | ~curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | kind(X0)) <=> (~rich(X0) & ~strong(X0))) [input p4]
6. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (~strong(X... | 0 |
If someone is not wise or not kind then someone is both quiet and calm.
If fred is not generous or quiet then someone is either not strong or calm and vice versa.
If someone is not generous then someone is both not curious and calm and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is ... | Lucy is not tall. | entailment | ((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((quiet(X)&calm(X)))))&
(((~generous(fred)|quiet(fred)))<=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~old(X)|~rich(X))=>(old(X)|~generous(X))))&
(![X]:((~calm(X)|curious(X))=>calm(X)))&
((?... | ~tall(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2288920560552966088622807
% SZS output start Proof for 2288920560552966088622807
13. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> patient(X0)) [input p12]
22. tall(lucy) [input hypothesis]
62. ! [X0] : (((~tall(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (tall(X0) & patient(X0)))) [n... | 0 |
If someone is patient then someone is either not funny or old.
Everyone who is happy or tall is either not curious or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old and wise an... | Fred is kind. | entailment | ((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old(john))))&
(... | kind(fred) | [
"p2",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5622843438739736215885628
% SZS output start Proof for 5622843438739736215885628
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
5. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p4]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [i... | 0 |
If john is funny or not old then alice is not funny and vice versa. Everyone who is both quiet and happy is both not calm and not brave and vice versa. Everyone who is generous is either not quiet or not kind. Everyone who is tall or not happy is either not patient or not brave. Everyone who is either not brave or not ... | Mary is wise. | contradiction | (((funny(john)|~old(john)))<=>(~funny(alice)))&
(![X]:((quiet(X)&happy(X))<=>(~calm(X)&~brave(X))))&
(![X]:(generous(X)=>(~quiet(X)<~>~kind(X))))&
(![X]:((tall(X)|~happy(X))=>(~patient(X)<~>~brave(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(~patient(X)|~funny(X))))&
(![X]:((patient(X)<~>~happy(X))<=>(calm(X)|~calm(X))))&
(... | wise(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4011227875023722069255583
% SZS output start Proof for 4011227875023722069255583
2. ! [X0] : ((happy(X0) & quiet(X0)) <=> (~brave(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | tall(X0)) => (~patient(X0) <~> ~brave(X0))) [input p3]
5. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~fu... | 0 |
If someone is not old then someone is strong or quiet and vice versa. Everyone who is not rich or not strong is happy. If paul is patient then john is kind and vice versa. Everyone who is either not humble or rich is not old or not humble and vice versa. If someone is either kind or not kind then alice is curious or no... | Lucy is rich. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((strong(X)|quiet(X)))))&
(![X]:((~rich(X)|~strong(X))=>happy(X)))&
((patient(paul))<=>(kind(john)))&
(![X]:((~humble(X)<~>rich(X))<=>(~old(X)|~humble(X))))&
((?[X]:((kind(X)<~>~kind(X))))<=>((curious(alice)|~happy(alice))))&
(![X]:((~humble(X)<~>brave(X))=>(rich(X)<~>strong(X))))&
((rich(alic... | rich(lucy) | [
"p0",
"p3",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6171742876528218114444332
% SZS output start Proof for 6171742876528218114444332
1. ? [X0] : ~old(X0) <=> ? [X0] : (quiet(X0) | strong(X0)) [input p0]
4. ! [X0] : ((~humble(X0) <~> rich(X0)) <=> (~humble(X0) | ~old(X0))) [input p3]
14. ? [X0] : (~rich(X0) | ~old(X0)) => ? [X0] : (~patient... | 0 |
Everyone who is creative or not creative is patient and vice versa.
Everyone who is not generous is either not strong or happy.
Everyone who is either quiet or not tall is not quiet or strong.
Everyone who is not rich or not old is both not funny and not rich.
Everyone who is brave is either not calm or not wise.
If lu... | Fred is not creative. | entailment | (![X]:((creative(X)|~creative(X))<=>patient(X)))&
(![X]:(~generous(X)=>(~strong(X)<~>happy(X))))&
(![X]:((quiet(X)<~>~tall(X))=>(~quiet(X)|strong(X))))&
(![X]:((~rich(X)|~old(X))=>(~funny(X)&~rich(X))))&
(![X]:(brave(X)=>(~calm(X)<~>~wise(X))))&
(((~happy(lucy)&~kind(lucy)))<=>(?[X]:(patient(X))))&
(![X]:((brave(X)&ric... | ~creative(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2628313940786856492682897
% SZS output start Proof for 2628313940786856492682897
16. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~old(X0) & ~creative(X0))) [input p15]
24. creative(fred) [input hypothesis]
35. ! [X0] : ((~old(X0) & ~creative(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transform... | 0 |
If someone is old or not wise then susan is patient or not humble.
Everyone who is either curious or not curious is not calm or old and vice versa.
If john is tall then someone is patient.
Everyone who is not rich or not patient is either patient or not calm.
If susan is generous or not tall then alice is not tall.
If ... | Paul is not curious. | entailment | ((?[X]:((old(X)|~wise(X))))=>((patient(susan)|~humble(susan))))&
(![X]:((curious(X)<~>~curious(X))<=>(~calm(X)|old(X))))&
((tall(john))=>(?[X]:(patient(X))))&
(![X]:((~rich(X)|~patient(X))=>(patient(X)<~>~calm(X))))&
(((generous(susan)|~tall(susan)))=>(~tall(alice)))&
(((~happy(paul)<~>happy(paul)))<=>((happy(paul)|qui... | ~curious(paul) | [
"p7",
"p9",
"p11",
"p12",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 727814332280202249669310
% SZS output start Proof for 727814332280202249669310
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> ~old(X0)) [input p7]
10. ? [X0] : (~happy(X0) <~> happy(X0)) => (funny(paul) & ~rich(paul)) [input p9]
12. ! [X0] : (wise(X0) <=> (happy(X0) | ~quiet(X0))) [input p11]
1... | 0 |
If alice is both not creative and old then alice is humble and vice versa. If someone is not brave then paul is not brave or not wise and vice versa. If susan is generous then paul is old or curious. If someone is both quiet and not strong then paul is either old or not humble. Everyone who is either not funny or not h... | Paul is not happy. | entailment | (((~creative(alice)&old(alice)))<=>(humble(alice)))&
((?[X]:(~brave(X)))<=>((~brave(paul)|~wise(paul))))&
((generous(susan))=>((old(paul)|curious(paul))))&
((?[X]:((quiet(X)&~strong(X))))=>((old(paul)<~>~humble(paul))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~brave(X)|~strong(X))))&
((?[X]:(~brave(X)))<=>((~tall(mary)<~>ca... | ~happy(paul) | [
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 657191189761721036279133
% SZS output start Proof for 657191189761721036279133
22. ~happy(paul) | strong(paul) [input p21]
24. wise(paul) & ~strong(paul) [input p23]
25. happy(paul) [input hypothesis]
138. ~happy(paul) | strong(paul) [cnf transformation 22]
140. ~strong(paul) [cnf transfo... | 0 |
Everyone who is either tall or not calm is either not calm or rich and vice versa.
If alice is quiet or not humble then someone is not tall.
If mary is both not funny and tall then john is not rich and vice versa.
Everyone who is either patient or kind is both not quiet and curious and vice versa.
Everyone who is eithe... | Mary is humble. | contradiction | (![X]:((tall(X)<~>~calm(X))<=>(~calm(X)<~>rich(X))))&
(((quiet(alice)|~humble(alice)))=>(?[X]:(~tall(X))))&
(((~funny(mary)&tall(mary)))<=>(~rich(john)))&
(![X]:((patient(X)<~>kind(X))<=>(~quiet(X)&curious(X))))&
(![X]:((~patient(X)<~>funny(X))=>(~humble(X)|~brave(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)<~>creative... | humble(mary) | [
"p0",
"p2",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7554712342680148629434340
% SZS output start Proof for 7554712342680148629434340
1. ! [X0] : ((tall(X0) <~> ~calm(X0)) <=> (~calm(X0) <~> rich(X0))) [input p0]
3. (tall(mary) & ~funny(mary)) <=> ~rich(john) [input p2]
7. ! [X0] : (patient(X0) <=> (generous(X0) | happy(X0))) [input p6]
13.... | 0 |
Everyone who is both not generous and humble is not happy or strong.
If paul is brave then lucy is both creative and patient.
Everyone who is humble or generous is either funny or not old.
Everyone who is both tall and happy is not happy and vice versa.
If someone is creative or not quiet then someone is either quiet o... | Fred is not happy. | contradiction | (![X]:((~generous(X)&humble(X))=>(~happy(X)|strong(X))))&
((brave(paul))=>((creative(lucy)&patient(lucy))))&
(![X]:((humble(X)|generous(X))=>(funny(X)<~>~old(X))))&
(![X]:((tall(X)&happy(X))<=>~happy(X)))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((quiet(X)<~>tall(X)))))&
(((patient(alice)<~>~humble(alice)))=>(?[X]:((k... | ~happy(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3236813371469250126303919
% SZS output start Proof for 3236813371469250126303919
4. ! [X0] : ((happy(X0) & tall(X0)) <=> ~happy(X0)) [input p3]
24. ~happy(fred) [input hypothesis]
43. ! [X0] : (((happy(X0) & tall(X0)) | happy(X0)) & (~happy(X0) | (~happy(X0) | ~tall(X0)))) [nnf transforma... | 0 |
Everyone who is patient or kind is funny and vice versa. If susan is either curious or kind then paul is both not creative and not brave. If someone is both strong and rich then someone is both kind and not old. Everyone who is either curious or not old is either quiet or not humble. Everyone who is both not happy and ... | Fred is not funny. | contradiction | (![X]:((patient(X)|kind(X))<=>funny(X)))&
(((curious(susan)<~>kind(susan)))=>((~creative(paul)&~brave(paul))))&
((?[X]:((strong(X)&rich(X))))=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((curious(X)<~>~old(X))=>(quiet(X)<~>~humble(X))))&
(![X]:((~happy(X)&rich(X))=>(~kind(X)&~brave(X))))&
(![X]:(~happy(X)=>old(X)))&
(![X]:(cre... | ~funny(fred) | [
"p0",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3136337485957137877514105
% SZS output start Proof for 3136337485957137877514105
1. ! [X0] : ((kind(X0) | patient(X0)) <=> funny(X0)) [input p0]
11. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (~calm(X0) | brave(X0))) [input p10]
12. ! [X0] : ((~kind(X0) | ~calm(X0)) => ~happy(X0)) [input p11... | 0 |
If someone is either not calm or happy then john is not old or calm.
Everyone who is tall is not kind and vice versa.
If mary is patient then fred is not happy and vice versa.
Everyone who is not happy is not kind or creative and vice versa.
Everyone who is both strong and happy is either strong or not brave.
Everyone ... | Alice is old. | neutral | ((?[X]:((~calm(X)<~>happy(X))))=>((~old(john)|calm(john))))&
(![X]:(tall(X)<=>~kind(X)))&
((patient(mary))<=>(~happy(fred)))&
(![X]:(~happy(X)<=>(~kind(X)|creative(X))))&
(![X]:((strong(X)&happy(X))=>(strong(X)<~>~brave(X))))&
(![X]:(~rich(X)=>~tall(X)))&
(![X]:((kind(X)|~curious(X))=>humble(X)))&
(![X]:((~curious(X)|r... | old(alice) | [] | null | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Lucy is calm. | entailment | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | calm(lucy) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 513879159834906990533027
% SZS output start Proof for 513879159834906990533027
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
13. ! [X0] : (generous(X0) => (calm(X0) & ~wise(X0))) [input p12]
14. ! [X0] : (quiet(X0) => ~strong(X0)) [input p13]
22... | 0 |
Everyone who is both calm and not patient is either not humble or not creative and vice versa.
If someone is rich then john is not wise.
If someone is not creative then mary is quiet and vice versa.
Everyone who is both not wise and not calm is not old or patient and vice versa.
Everyone who is both rich and not brave ... | Lucy is generous. | neutral | (![X]:((calm(X)&~patient(X))<=>(~humble(X)<~>~creative(X))))&
((?[X]:(rich(X)))=>(~wise(john)))&
((?[X]:(~creative(X)))<=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patient(X)))&
((?[X]:(~old(X)))<=>(~kind(paul)))&
(![X]:((humble(X)|~generous(X))=>(~kind(X)<~>~funn... | generous(lucy) | [] | null | 0 |
Everyone who is both humble and not quiet is old or wise and vice versa.
Everyone who is calm or quiet is both brave and tall and vice versa.
Everyone who is not strong is not happy.
Everyone who is not wise is both curious and not humble.
Everyone who is wise is either humble or wise.
Everyone who is happy is patient.... | Lucy is not creative. | entailment | (![X]:((humble(X)&~quiet(X))<=>(old(X)|wise(X))))&
(![X]:((calm(X)|quiet(X))<=>(brave(X)&tall(X))))&
(![X]:(~strong(X)=>~happy(X)))&
(![X]:(~wise(X)=>(curious(X)&~humble(X))))&
(![X]:(wise(X)=>(humble(X)<~>wise(X))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:((patient(X)&funny(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(creativ... | ~creative(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 431109106655496294113534
% SZS output start Proof for 431109106655496294113534
1. ! [X0] : ((~quiet(X0) & humble(X0)) <=> (wise(X0) | old(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | calm(X0)) <=> (tall(X0) & brave(X0))) [input p1]
4. ! [X0] : (~wise(X0) => (~humble(X0) & curious(X0))) [inp... | 0 |
Everyone who is generous is not quiet and vice versa.
Everyone who is either not humble or strong is both not tall and not creative and vice versa.
Everyone who is not generous or not funny is not old and vice versa.
Everyone who is both patient and not funny is either tall or not funny and vice versa.
If someone is bo... | Fred is kind. | contradiction | (![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~humble(X)<~>strong(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~generous(X)|~funny(X))<=>~old(X)))&
(![X]:((patient(X)&~funny(X))<=>(tall(X)<~>~funny(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:((strong(X)<~>kind(X))<=>~tall(X)))&
((?[X]:((old(X)<~... | kind(fred) | [
"p8",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7330018524929922096213368
% SZS output start Proof for 7330018524929922096213368
9. ! [X0] : ((~quiet(X0) | wise(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : ((~strong(X0) <~> generous(X0)) => (~calm(X0) & humble(X0))) [input p12]
16. ! [X0] : ((kind(X0) | rich(X0)) <=> wise(X0)) [input p15... | 0 |
If mary is both patient and strong then someone is not calm and vice versa.
If alice is either brave or not rich then susan is both not tall and not funny.
If someone is not humble or wise then paul is both tall and creative.
Everyone who is either happy or not old is creative.
If paul is either not calm or not humble ... | Paul is strong. | entailment | (((patient(mary)&strong(mary)))<=>(?[X]:(~calm(X))))&
(((brave(alice)<~>~rich(alice)))=>((~tall(susan)&~funny(susan))))&
((?[X]:((~humble(X)|wise(X))))=>((tall(paul)&creative(paul))))&
(![X]:((happy(X)<~>~old(X))=>creative(X)))&
(((~calm(paul)<~>~humble(paul)))=>(?[X]:(~quiet(X))))&
(![X]:((~patient(X)|~strong(X))=>~qu... | strong(paul) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8744269750938428207946918
% SZS output start Proof for 8744269750938428207946918
7. ! [X0] : (~happy(X0) <=> (~happy(X0) | ~strong(X0))) [input p6]
18. happy(paul) [input p17]
22. ~strong(paul) [input hypothesis]
50. ! [X0] : ((~happy(X0) | (happy(X0) & strong(X0))) & ((~happy(X0) | ~stro... | 0 |
If john is not funny then alice is not calm or not brave and vice versa.
Everyone who is brave is patient.
Everyone who is both not wise and quiet is either humble or not generous and vice versa.
Everyone who is both not wise and not rich is curious.
Everyone who is either strong or not happy is both not brave and not ... | Lucy is not curious. | neutral | ((~funny(john))<=>((~calm(alice)|~brave(alice))))&
(![X]:(brave(X)=>patient(X)))&
(![X]:((~wise(X)&quiet(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((~wise(X)&~rich(X))=>curious(X)))&
(![X]:((strong(X)<~>~happy(X))=>(~brave(X)&~generous(X))))&
(![X]:((~kind(X)<~>~calm(X))<=>(tall(X)<~>~rich(X))))&
(![X]:((~quiet(X)&humb... | ~curious(lucy) | [] | null | 0 |
Everyone who is both not patient and curious is patient and vice versa. Everyone who is both tall and not calm is both not rich and not wise and vice versa. If someone is either not generous or not funny then paul is strong or generous. If someone is strong or funny then someone is both curious and brave. If mary is no... | Paul is happy. | entailment | (![X]:((~patient(X)&curious(X))<=>patient(X)))&
(![X]:((tall(X)&~calm(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~generous(X)<~>~funny(X))))=>((strong(paul)|generous(paul))))&
((?[X]:((strong(X)|funny(X))))=>(?[X]:((curious(X)&brave(X)))))&
((~kind(mary))=>((~happy(paul)<~>brave(paul))))&
((?[X]:((wise(X)<~>kind(X))))=>(cal... | happy(paul) | [
"p0",
"p3",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5878825846912854532681131
% SZS output start Proof for 5878825846912854532681131
1. ! [X0] : ((curious(X0) & ~patient(X0)) <=> patient(X0)) [input p0]
4. ? [X0] : (funny(X0) | strong(X0)) => ? [X0] : (brave(X0) & curious(X0)) [input p3]
7. ! [X0] : (~humble(X0) => (~brave(X0) <~> humble(X... | 0 |
Everyone who is not humble is both not tall and not quiet and vice versa. If someone is quiet then paul is funny and vice versa. Everyone who is creative or strong is both not kind and not curious. If paul is not quiet then paul is either not wise or old and vice versa. Everyone who is patient is either brave or not hu... | John is curious. | neutral | (![X]:(~humble(X)<=>(~tall(X)&~quiet(X))))&
((?[X]:(quiet(X)))<=>(funny(paul)))&
(![X]:((creative(X)|strong(X))=>(~kind(X)&~curious(X))))&
((~quiet(paul))<=>((~wise(paul)<~>old(paul))))&
(![X]:(patient(X)<=>(brave(X)<~>~humble(X))))&
(((brave(john)&humble(john)))=>(?[X]:((~strong(X)|~creative(X)))))&
((~kind(fred))<=>(... | curious(john) | [] | null | 0 |
If alice is both not brave and not kind then fred is generous or strong and vice versa.
Everyone who is either not humble or not patient is either not creative or not humble.
Everyone who is not tall is curious or quiet.
Everyone who is not creative or humble is kind or not humble.
If someone is generous or brave then ... | Alice is not quiet. | neutral | (((~brave(alice)&~kind(alice)))<=>((generous(fred)|strong(fred))))&
(![X]:((~humble(X)<~>~patient(X))=>(~creative(X)<~>~humble(X))))&
(![X]:(~tall(X)=>(curious(X)|quiet(X))))&
(![X]:((~creative(X)|humble(X))=>(kind(X)|~humble(X))))&
((?[X]:((generous(X)|brave(X))))<=>((calm(john)|~funny(john))))&
(![X]:((~wise(X)&happy... | ~quiet(alice) | [] | null | 0 |
Everyone who is both creative and rich is creative or strong and vice versa.
If someone is either rich or happy then someone is both not funny and not curious and vice versa.
If someone is either not humble or not generous then someone is either brave or strong.
Everyone who is not rich or brave is both not tall and st... | Lucy is not kind. | entailment | (![X]:((creative(X)&rich(X))<=>(creative(X)|strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((~funny(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:((~rich(X)|brave(X))=>(~tall(X)&strong(X))))&
(((brave(mary)&~creative(mary)))<=>(?[X]:((funny(X)|~quiet(X)))))&
(!... | ~kind(lucy) | [
"p0",
"p3",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1348839424811647926866504
% SZS output start Proof for 1348839424811647926866504
1. ! [X0] : ((rich(X0) & creative(X0)) <=> (strong(X0) | creative(X0))) [input p0]
4. ! [X0] : ((brave(X0) | ~rich(X0)) => (strong(X0) & ~tall(X0))) [input p3]
8. ! [X0] : ((~strong(X0) <~> ~patient(X0)) => h... | 0 |
Everyone who is not quiet is either not wise or not rich.
Everyone who is not kind is generous.
Everyone who is either old or rich is tall and vice versa.
If paul is either brave or funny then someone is either old or not kind.
Everyone who is not kind or humble is both rich and not creative and vice versa.
Everyone wh... | Alice is not wise. | contradiction | (![X]:(~quiet(X)=>(~wise(X)<~>~rich(X))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((old(X)<~>rich(X))<=>tall(X)))&
(((brave(paul)<~>funny(paul)))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((~kind(X)|humble(X))<=>(rich(X)&~creative(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>brave(X)))&
(![X]:((~tall(X)|wise(X))<=>(~quiet(X)|g... | ~wise(alice) | [
"p4",
"p9",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8719131924960572212401380
% SZS output start Proof for 8719131924960572212401380
5. ! [X0] : ((humble(X0) | ~kind(X0)) <=> (~creative(X0) & rich(X0))) [input p4]
10. ! [X0] : (~wise(X0) => ~funny(X0)) [input p9]
18. funny(alice) <~> ~kind(alice) [input p17]
23. ~rich(alice) [input p22]
24... | 0 |
Everyone who is either not wise or kind is both creative and kind and vice versa.
Everyone who is both not curious and old is either not creative or creative and vice versa.
Everyone who is wise is either kind or not rich.
If someone is either not strong or old then paul is either not old or not wise.
If alice is both ... | John is not happy. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&kind(X))))&
(![X]:((~curious(X)&old(X))<=>(~creative(X)<~>creative(X))))&
(![X]:(wise(X)=>(kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~old(paul)<~>~wise(paul))))&
(((~rich(alice)&tall(alice)))=>(?[X]:(~humble(X))))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patien... | ~happy(john) | [] | null | 0 |
Everyone who is not rich or funny is both not patient and not calm.
Everyone who is either strong or calm is not brave.
If someone is both quiet and old then someone is either humble or wise and vice versa.
Everyone who is not kind or not humble is not funny or not wise and vice versa.
If someone is generous or not hum... | Fred is not old. | neutral | (![X]:((~rich(X)|funny(X))=>(~patient(X)&~calm(X))))&
(![X]:((strong(X)<~>calm(X))=>~brave(X)))&
((?[X]:((quiet(X)&old(X))))<=>(?[X]:((humble(X)<~>wise(X)))))&
(![X]:((~kind(X)|~humble(X))<=>(~funny(X)|~wise(X))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:(brave(X))))&
((?[X]:((funny(X)<~>generous(X))))<=>((wise(fred)... | ~old(fred) | [] | null | 0 |
Everyone who is brave is both kind and not patient and vice versa.
If paul is either wise or curious then mary is brave or not calm.
Everyone who is either old or funny is not happy or not generous and vice versa.
Everyone who is kind or not calm is either wise or not humble and vice versa.
Everyone who is both brave a... | John is not happy. | contradiction | (![X]:(brave(X)<=>(kind(X)&~patient(X))))&
(((wise(paul)<~>curious(paul)))=>((brave(mary)|~calm(mary))))&
(![X]:((old(X)<~>funny(X))<=>(~happy(X)|~generous(X))))&
(![X]:((kind(X)|~calm(X))<=>(wise(X)<~>~humble(X))))&
(![X]:((brave(X)&humble(X))=>(~patient(X)|curious(X))))&
(![X]:((~patient(X)&creative(X))=>(humble(X)<~... | ~happy(john) | [
"p2",
"p6",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1774990343150961770327856
% SZS output start Proof for 1774990343150961770327856
3. ! [X0] : ((old(X0) <~> funny(X0)) <=> (~generous(X0) | ~happy(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~wise(X0)) => (brave(X0) | happy(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | brave(X0)) => (funny(X0) ... | 0 |
If paul is brave then lucy is not rich or not old and vice versa.
If alice is both not patient and not brave then someone is both happy and curious and vice versa.
If someone is not kind then lucy is either humble or not curious and vice versa.
Everyone who is not happy is rich and vice versa.
If someone is either funn... | Paul is not happy. | entailment | ((brave(paul))<=>((~rich(lucy)|~old(lucy))))&
(((~patient(alice)&~brave(alice)))<=>(?[X]:((happy(X)&curious(X)))))&
((?[X]:(~kind(X)))<=>((humble(lucy)<~>~curious(lucy))))&
(![X]:(~happy(X)<=>rich(X)))&
((?[X]:((funny(X)<~>~wise(X))))<=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:((generous(X)<~>~strong(X))=>rich(X)))&
... | ~happy(paul) | [
"p3",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4904200960396972528619591
% SZS output start Proof for 4904200960396972528619591
4. ! [X0] : (~happy(X0) <=> rich(X0)) [input p3]
16. ! [X0] : (humble(X0) <=> (~humble(X0) & ~patient(X0))) [input p15]
17. humble(paul) <~> rich(paul) [input p16]
23. happy(paul) [input hypothesis]
43. ! [X0... | 0 |
If someone is both not old and not strong then someone is either curious or not tall and vice versa. Everyone who is not kind or creative is either not calm or old and vice versa. If john is tall or not rich then fred is rich. Everyone who is either wise or brave is both not curious and rich and vice versa. Everyone wh... | Mary is generous. | neutral | ((?[X]:((~old(X)&~strong(X))))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)<~>old(X))))&
(((tall(john)|~rich(john)))=>(rich(fred)))&
(![X]:((wise(X)<~>brave(X))<=>(~curious(X)&rich(X))))&
(![X]:((funny(X)|~wise(X))=>(quiet(X)|creative(X))))&
(![X]:(kind(X)<=>(~old(X)<~>calm(X))))&
(![X... | generous(mary) | [] | null | 0 |
Everyone who is both curious and patient is both not creative and happy.
If someone is happy or not curious then susan is both kind and not humble and vice versa.
Everyone who is both not happy and not funny is either not generous or not happy.
Everyone who is both quiet and kind is not brave or funny and vice versa.
I... | Alice is not tall. | neutral | (![X]:((curious(X)&patient(X))=>(~creative(X)&happy(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((kind(susan)&~humble(susan))))&
(![X]:((~happy(X)&~funny(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((quiet(X)&kind(X))<=>(~brave(X)|funny(X))))&
(((curious(alice)|creative(alice)))=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((~c... | ~tall(alice) | [] | null | 0 |
Everyone who is either strong or not generous is funny or not strong and vice versa.
Everyone who is kind is both not quiet and not tall.
Everyone who is both old and not wise is not calm or not humble.
Everyone who is either tall or not generous is not generous and vice versa.
If susan is both not humble and not wise ... | Fred is quiet. | contradiction | (![X]:((strong(X)<~>~generous(X))<=>(funny(X)|~strong(X))))&
(![X]:(kind(X)=>(~quiet(X)&~tall(X))))&
(![X]:((old(X)&~wise(X))=>(~calm(X)|~humble(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~generous(X)))&
(((~humble(susan)&~wise(susan)))<=>(?[X]:((humble(X)|rich(X)))))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)&~curious... | quiet(fred) | [
"p0",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5254365031789247887566196
% SZS output start Proof for 5254365031789247887566196
1. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> (~strong(X0) | funny(X0))) [input p0]
6. ? [X0] : ~generous(X0) => ? [X0] : (~curious(X0) & generous(X0)) [input p5]
10. ! [X0] : ((tall(X0) | old(X0)) => (~hum... | 0 |
Everyone who is either not creative or not wise is either not calm or not generous and vice versa. If mary is old or not calm then lucy is not funny. Everyone who is either funny or tall is either not wise or not kind and vice versa. Everyone who is either not kind or not brave is either creative or not old. Everyone w... | John is funny. | neutral | (![X]:((~creative(X)<~>~wise(X))<=>(~calm(X)<~>~generous(X))))&
(((old(mary)|~calm(mary)))=>(~funny(lucy)))&
(![X]:((funny(X)<~>tall(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:((~kind(X)<~>~brave(X))=>(creative(X)<~>~old(X))))&
(![X]:((calm(X)&~funny(X))=>(~quiet(X)&~generous(X))))&
((?[X]:(~wise(X)))<=>(~patient(john)))&
(!... | funny(john) | [] | null | 0 |
Everyone who is not happy or not patient is kind and vice versa. If lucy is not kind then someone is either not creative or not curious. If susan is not kind then mary is both not funny and not quiet and vice versa. Everyone who is both humble and not creative is either generous or not generous and vice versa. Everyone... | John is creative. | contradiction | (![X]:((~happy(X)|~patient(X))<=>kind(X)))&
((~kind(lucy))=>(?[X]:((~creative(X)<~>~curious(X)))))&
((~kind(susan))<=>((~funny(mary)&~quiet(mary))))&
(![X]:((humble(X)&~creative(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((~quiet(X)|calm(X))=>(wise(X)<~>quiet(X))))&
(![X]:((happy(X)<~>creative(X))=>(~brave(X)|~wise(X)... | creative(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3945858957102282886658446
% SZS output start Proof for 3945858957102282886658446
4. ! [X0] : ((~creative(X0) & humble(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p3]
22. creative(john) [input hypothesis]
42. ! [X0] : (((~creative(X0) & humble(X0)) | ((generous(X0) | generous(X0)) & ... | 0 |
If susan is both wise and not brave then someone is both not funny and not kind.
If paul is curious then paul is both not generous and curious.
If someone is either not tall or quiet then someone is not curious or not generous.
Everyone who is both not brave and old is either strong or not humble and vice versa.
If fre... | Susan is not creative. | entailment | (((wise(susan)&~brave(susan)))=>(?[X]:((~funny(X)&~kind(X)))))&
((curious(paul))=>((~generous(paul)&curious(paul))))&
((?[X]:((~tall(X)<~>quiet(X))))=>(?[X]:((~curious(X)|~generous(X)))))&
(![X]:((~brave(X)&old(X))<=>(strong(X)<~>~humble(X))))&
(((~strong(fred)&strong(fred)))<=>(?[X]:((~old(X)<~>~brave(X)))))&
((?[X]:(... | ~creative(susan) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7033739244257713301380933
% SZS output start Proof for 7033739244257713301380933
9. ! [X0] : ((~old(X0) <~> creative(X0)) => (strong(X0) & ~creative(X0))) [input p8]
13. ! [X0] : ((creative(X0) <~> ~tall(X0)) <=> (old(X0) | ~tall(X0))) [input p12]
25. creative(susan) [input hypothesis]
33... | 0 |
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creative and not wise.
Everyone who is no... | Alice is not strong. | entailment | (((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~... | ~strong(alice) | [
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8716174474958273741898257
% SZS output start Proof for 8716174474958273741898257
13. ! [X0] : (calm(X0) => ~strong(X0)) [input p12]
16. (calm(alice) & ~rich(alice)) <=> ? [X0] : (quiet(X0) | ~brave(X0)) [input p15]
20. quiet(mary) [input p19]
25. strong(alice) [input hypothesis]
36. ! [X0... | 0 |
Everyone who is both kind and not wise is both not creative and strong. Everyone who is both not rich and brave is not creative and vice versa. Everyone who is rich is not generous or not humble. Everyone who is both creative and not happy is either quiet or not quiet. Everyone who is not brave is not happy. If someone... | Susan is not funny. | entailment | (![X]:((kind(X)&~wise(X))=>(~creative(X)&strong(X))))&
(![X]:((~rich(X)&brave(X))<=>~creative(X)))&
(![X]:(rich(X)=>(~generous(X)|~humble(X))))&
(![X]:((creative(X)&~happy(X))=>(quiet(X)<~>~quiet(X))))&
(![X]:(~brave(X)=>~happy(X)))&
((?[X]:((~wise(X)&happy(X))))<=>(funny(susan)))&
(![X]:(humble(X)<=>~happy(X)))&
(((pa... | ~funny(susan) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6978089713718997038109619
% SZS output start Proof for 6978089713718997038109619
1. ! [X0] : ((~wise(X0) & kind(X0)) => (strong(X0) & ~creative(X0))) [input p0]
5. ! [X0] : (~brave(X0) => ~happy(X0)) [input p4]
6. ? [X0] : (happy(X0) & ~wise(X0)) <=> funny(susan) [input p5]
10. ! [X0] : (... | 0 |
Everyone who is strong is either kind or happy and vice versa.
Everyone who is both calm and not brave is not funny or not brave.
Everyone who is not creative is not patient.
Everyone who is both funny and not tall is both kind and not brave.
If someone is both rich and not creative then paul is both not calm and wise ... | Susan is not calm. | entailment | (![X]:(strong(X)<=>(kind(X)<~>happy(X))))&
(![X]:((calm(X)&~brave(X))=>(~funny(X)|~brave(X))))&
(![X]:(~creative(X)=>~patient(X)))&
(![X]:((funny(X)&~tall(X))=>(kind(X)&~brave(X))))&
((?[X]:((rich(X)&~creative(X))))<=>((~calm(paul)&wise(paul))))&
(((~funny(paul)|old(paul)))<=>(~rich(fred)))&
((?[X]:(quiet(X)))<=>((funn... | ~calm(susan) | [
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2687880749363727995102044
% SZS output start Proof for 2687880749363727995102044
7. ? [X0] : quiet(X0) <=> (~old(susan) & funny(susan)) [input p6]
12. (quiet(alice) & ~kind(alice)) <=> ? [X0] : (old(X0) | patient(X0)) [input p11]
16. ! [X0] : ((old(X0) <~> calm(X0)) => (kind(X0) & old(X0)... | 0 |
Everyone who is not calm or funny is both not funny and rich.
Everyone who is either funny or creative is not rich and vice versa.
If mary is strong then someone is both not calm and creative.
If fred is rich or not funny then someone is either not kind or not tall.
If someone is either tall or not kind then someone is... | Fred is not humble. | contradiction | (![X]:((~calm(X)|funny(X))=>(~funny(X)&rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>~rich(X)))&
((strong(mary))=>(?[X]:((~calm(X)&creative(X)))))&
(((rich(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>~tall(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:(generous(X))))&
((~generous(susan))<=>((~strong(susan)<~>~patient(susa... | ~humble(fred) | [
"p0",
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1500483481380941950311513
% SZS output start Proof for 1500483481380941950311513
1. ! [X0] : ((funny(X0) | ~calm(X0)) => (rich(X0) & ~funny(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> creative(X0)) <=> ~rich(X0)) [input p1]
11. ? [X0] : (~calm(X0) <~> ~humble(X0)) => ? [X0] : (rich(X0) &... | 0 |
Everyone who is either not funny or generous is either not happy or old and vice versa.
If paul is both not curious and not wise then fred is either tall or kind and vice versa.
If someone is both rich and not wise then fred is both not generous and not humble and vice versa.
Everyone who is humble or not kind is not q... | Paul is not curious. | neutral | (![X]:((~funny(X)<~>generous(X))<=>(~happy(X)<~>old(X))))&
(((~curious(paul)&~wise(paul)))<=>((tall(fred)<~>kind(fred))))&
((?[X]:((rich(X)&~wise(X))))<=>((~generous(fred)&~humble(fred))))&
(![X]:((humble(X)|~kind(X))=>~quiet(X)))&
((?[X]:(~quiet(X)))=>((~creative(paul)<~>~wise(paul))))&
(((~humble(paul)|~old(paul)))=>... | ~curious(paul) | [] | null | 0 |
Everyone who is either not patient or wise is either happy or not creative. If fred is not curious then someone is both brave and not old and vice versa. Everyone who is strong or not funny is both not humble and not quiet and vice versa. Everyone who is both not kind and tall is both calm and not wise. Everyone who is... | Mary is patient. | entailment | (![X]:((~patient(X)<~>wise(X))=>(happy(X)<~>~creative(X))))&
((~curious(fred))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~funny(X))<=>(~humble(X)&~quiet(X))))&
(![X]:((~kind(X)&tall(X))=>(calm(X)&~wise(X))))&
(![X]:((~patient(X)|~funny(X))<=>(patient(X)&~rich(X))))&
(![X]:(brave(X)<=>(creative(X)|patient(X))))&... | patient(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7743838775784109884958334
% SZS output start Proof for 7743838775784109884958334
5. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~rich(X0) & patient(X0))) [input p4]
25. ~patient(mary) [input hypothesis]
44. ! [X0] : (((~funny(X0) | ~patient(X0)) | (rich(X0) | ~patient(X0))) & ((~rich(X0) &... | 0 |
Everyone who is both happy and not rich is both quiet and calm.
If someone is both not old and not rich then paul is strong.
If alice is kind then someone is both not curious and not humble.
If susan is wise or creative then paul is funny or not creative.
If someone is either generous or not humble then mary is both no... | Mary is not patient. | entailment | (![X]:((happy(X)&~rich(X))=>(quiet(X)&calm(X))))&
((?[X]:((~old(X)&~rich(X))))=>(strong(paul)))&
((kind(alice))=>(?[X]:((~curious(X)&~humble(X)))))&
(((wise(susan)|creative(susan)))=>((funny(paul)|~creative(paul))))&
((?[X]:((generous(X)<~>~humble(X))))=>((~creative(mary)&~kind(mary))))&
((?[X]:((~curious(X)&~tall(X)))... | ~patient(mary) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 891122283066731267621220
% SZS output start Proof for 891122283066731267621220
1. ! [X0] : ((~rich(X0) & happy(X0)) => (calm(X0) & quiet(X0))) [input p0]
7. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~curious(X0)) <=> ~funny(... | 0 |
If john is both curious and wise then someone is both strong and not funny.
Everyone who is curious is both creative and not funny and vice versa.
If someone is patient then someone is not tall or not funny.
Everyone who is brave or not calm is not generous or not funny and vice versa.
If mary is either not curious or ... | Mary is funny. | contradiction | (((curious(john)&wise(john)))=>(?[X]:((strong(X)&~funny(X)))))&
(![X]:(curious(X)<=>(creative(X)&~funny(X))))&
((?[X]:(patient(X)))=>(?[X]:((~tall(X)|~funny(X)))))&
(![X]:((brave(X)|~calm(X))<=>(~generous(X)|~funny(X))))&
(((~curious(mary)<~>~calm(mary)))<=>(?[X]:((~generous(X)&patient(X)))))&
(![X]:((funny(X)|~rich(X)... | funny(mary) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6114529707350229665652768
% SZS output start Proof for 6114529707350229665652768
2. ! [X0] : (curious(X0) <=> (~funny(X0) & creative(X0))) [input p1]
6. ! [X0] : ((~rich(X0) | funny(X0)) <=> (~quiet(X0) & curious(X0))) [input p5]
25. funny(mary) [input hypothesis]
40. ! [X0] : ((curious(X... | 0 |
Everyone who is either strong or not rich is either brave or tall and vice versa. Everyone who is both not calm and not humble is kind and vice versa. If someone is not old or not curious then mary is not old or patient. If someone is not brave then susan is either not curious or not tall. Everyone who is both not curi... | Alice is quiet. | entailment | (![X]:((strong(X)<~>~rich(X))<=>(brave(X)<~>tall(X))))&
(![X]:((~calm(X)&~humble(X))<=>kind(X)))&
((?[X]:((~old(X)|~curious(X))))=>((~old(mary)|patient(mary))))&
((?[X]:(~brave(X)))=>((~curious(susan)<~>~tall(susan))))&
(![X]:((~curious(X)&funny(X))<=>~quiet(X)))&
(![X]:(~creative(X)<=>(kind(X)|~patient(X))))&
(![X]:((... | quiet(alice) | [
"p1",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2671491170824982900513216
% SZS output start Proof for 2671491170824982900513216
2. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~quiet(X0)) [input p4]
6. ! [X0] : (~creative(X0) <=> (~patient(X0) | kind(X0))) [input p5]
8. ! [X0... | 0 |
If susan is both generous and calm then susan is either not kind or not strong.
Everyone who is both not brave and strong is both not patient and wise and vice versa.
Everyone who is patient is not patient.
Everyone who is both kind and tall is both brave and not kind.
If someone is either not calm or funny then someon... | Fred is calm. | contradiction | (((generous(susan)&calm(susan)))=>((~kind(susan)<~>~strong(susan))))&
(![X]:((~brave(X)&strong(X))<=>(~patient(X)&wise(X))))&
(![X]:(patient(X)=>~patient(X)))&
(![X]:((kind(X)&tall(X))=>(brave(X)&~kind(X))))&
((?[X]:((~calm(X)<~>funny(X))))=>(?[X]:((~tall(X)|creative(X)))))&
(((~quiet(paul)|~rich(paul)))<=>(?[X]:((happ... | calm(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4519086721618489078396711
% SZS output start Proof for 4519086721618489078396711
11. ? [X0] : (~quiet(X0) & quiet(X0)) <=> ? [X0] : (~tall(X0) | calm(X0)) [input p10]
24. calm(fred) [input hypothesis]
26. ? [X0] : (~quiet(X0) & quiet(X0)) <=> ? [X1] : (~tall(X1) | calm(X1)) [rectify 11]
5... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind and not curious and vice versa. If john is either not quiet or not happy then fred is ... | Susan is brave. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humble(X))=>(brave(X)<~>happy(X))))&
(![X]:(kind(X)<=>(kind(X... | brave(susan) | [
"p5",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7904959459874228601666091
% SZS output start Proof for 7904959459874228601666091
6. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p5]
9. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : (old(X0) => brave(X0)) [input p9]
12. ! [X0] : ((~cu... | 0 |
If someone is not generous then fred is either not patient or not kind and vice versa.
If someone is not generous then paul is both calm and not tall.
Everyone who is not old is calm or not rich and vice versa.
If someone is not patient then alice is creative or not funny and vice versa.
If someone is either old or cre... | Paul is not funny. | contradiction | ((?[X]:(~generous(X)))<=>((~patient(fred)<~>~kind(fred))))&
((?[X]:(~generous(X)))=>((calm(paul)&~tall(paul))))&
(![X]:(~old(X)<=>(calm(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>((creative(alice)|~funny(alice))))&
((?[X]:((old(X)<~>creative(X))))=>(old(fred)))&
(![X]:((humble(X)&wise(X))<=>(curious(X)|creative(X))))&
(![... | ~funny(paul) | [
"p1",
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 731237214740682990678022
% SZS output start Proof for 731237214740682990678022
2. ? [X0] : ~generous(X0) => (~tall(paul) & calm(paul)) [input p1]
7. ! [X0] : (funny(X0) <=> (~rich(X0) | ~tall(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~wise(X0)) => (kind(X0) & generous(X0))) [input p7]... | 0 |
If alice is either tall or strong then someone is either happy or patient. If lucy is not generous then someone is either not kind or kind and vice versa. Everyone who is generous is both not wise and not calm and vice versa. If someone is not strong then someone is either not strong or wise and vice versa. Everyone wh... | Lucy is quiet. | contradiction | (((tall(alice)<~>strong(alice)))=>(?[X]:((happy(X)<~>patient(X)))))&
((~generous(lucy))<=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:(generous(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~quiet(X)<~>curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~humble(X)... | quiet(lucy) | [
"p5",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8566151082746181314533520
% SZS output start Proof for 8566151082746181314533520
6. ? [X0] : ~kind(X0) => ? [X0] : (happy(X0) & ~humble(X0)) [input p5]
8. ! [X0] : ((quiet(X0) | happy(X0)) => (humble(X0) & old(X0))) [input p7]
12. ! [X0] : (quiet(X0) => (~rich(X0) & calm(X0))) [input p11]... | 0 |
If someone is not happy or not funny then someone is both not kind and wise.
Everyone who is not curious is tall or strong and vice versa.
Everyone who is not funny or not generous is not strong and vice versa.
Everyone who is not quiet is either not humble or curious.
Everyone who is both humble and happy is either no... | Alice is not strong. | contradiction | ((?[X]:((~happy(X)|~funny(X))))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:(~curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
((curious(j... | ~strong(alice) | [
"p1",
"p3",
"p4",
"p9",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 886677304501728955510709
% SZS output start Proof for 886677304501728955510709
2. ! [X0] : (~curious(X0) <=> (strong(X0) | tall(X0))) [input p1]
4. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((happy(X0) & humble(X0)) <=> (~tall(X0) <~> funny(X0))) [input... | 0 |
If susan is not tall or not creative then lucy is either kind or brave and vice versa.
If john is both not old and wise then paul is both strong and creative and vice versa.
If lucy is both kind and not brave then fred is quiet and vice versa.
If someone is not generous or not wise then alice is not creative or not kin... | Lucy is not calm. | entailment | (((~tall(susan)|~creative(susan)))<=>((kind(lucy)<~>brave(lucy))))&
(((~old(john)&wise(john)))<=>((strong(paul)&creative(paul))))&
(((kind(lucy)&~brave(lucy)))<=>(quiet(fred)))&
((?[X]:((~generous(X)|~wise(X))))<=>((~creative(alice)|~kind(alice))))&
(((~curious(lucy)|wise(lucy)))<=>(?[X]:((old(X)<~>~kind(X)))))&
(((~wi... | ~calm(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7913043932896328885116463
% SZS output start Proof for 7913043932896328885116463
14. ? [X0] : (calm(X0) | ~curious(X0)) <=> (~kind(john) & kind(john)) [input p13]
24. calm(lucy) [input hypothesis]
63. (? [X0] : (calm(X0) | ~curious(X0)) | (kind(john) | ~kind(john))) & ((~kind(john) & kind... | 0 |
Everyone who is not strong or not wise is both funny and patient. Everyone who is both funny and not creative is not wise or not old and vice versa. If mary is creative then someone is not brave and vice versa. Everyone who is tall is both not happy and happy and vice versa. Everyone who is quiet is either not creative... | Susan is not wise. | neutral | (![X]:((~strong(X)|~wise(X))=>(funny(X)&patient(X))))&
(![X]:((funny(X)&~creative(X))<=>(~wise(X)|~old(X))))&
((creative(mary))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)<=>(~happy(X)&happy(X))))&
(![X]:(quiet(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)=>(~strong(X)<~>~happy(X))))&
(![X]:(~old(X)=>(happy(X)<~>humble(X... | ~wise(susan) | [] | null | 0 |
Everyone who is either not curious or not wise is both not rich and not old and vice versa. Everyone who is both strong and kind is either not calm or brave and vice versa. If mary is both not patient and curious then someone is either not old or not rich. If alice is not creative then susan is curious or not calm. If ... | John is not quiet. | neutral | (![X]:((~curious(X)<~>~wise(X))<=>(~rich(X)&~old(X))))&
(![X]:((strong(X)&kind(X))<=>(~calm(X)<~>brave(X))))&
(((~patient(mary)&curious(mary)))=>(?[X]:((~old(X)<~>~rich(X)))))&
((~creative(alice))=>((curious(susan)|~calm(susan))))&
((?[X]:((~kind(X)&creative(X))))<=>(calm(john)))&
(((~rich(mary)|creative(mary)))=>(~fun... | ~quiet(john) | [] | null | 0 |
If fred is curious or not strong then susan is patient or happy.
Everyone who is both not strong and old is both quiet and not wise.
Everyone who is both creative and not generous is both quiet and creative.
Everyone who is both not calm and not tall is not wise or quiet.
If someone is both not calm and generous then s... | Mary is not quiet. | entailment | (((curious(fred)|~strong(fred)))=>((patient(susan)|happy(susan))))&
(![X]:((~strong(X)&old(X))=>(quiet(X)&~wise(X))))&
(![X]:((creative(X)&~generous(X))=>(quiet(X)&creative(X))))&
(![X]:((~calm(X)&~tall(X))=>(~wise(X)|quiet(X))))&
((?[X]:((~calm(X)&generous(X))))=>(?[X]:((funny(X)|curious(X)))))&
(![X]:((kind(X)<~>tall... | ~quiet(mary) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7350434260465395396555611
% SZS output start Proof for 7350434260465395396555611
13. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (rich(X0) & ~tall(X0))) [input p12]
16. ! [X0] : ((rich(X0) | creative(X0)) <=> ~quiet(X0)) [input p15]
23. quiet(mary) [input hypothesis]
42. ! [X0] : ((rich(X0) & ~... | 0 |
If someone is either not generous or not patient then someone is either not calm or calm.
If someone is either calm or funny then alice is tall and vice versa.
If fred is both not curious and not quiet then someone is strong or not rich.
Everyone who is both not brave and creative is both kind and not wise.
If alice is... | Paul is not creative. | neutral | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~calm(X)<~>calm(X)))))&
((?[X]:((calm(X)<~>funny(X))))<=>(tall(alice)))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brave(X)&creative(X))=>(kind(X)&~wise(X))))&
((~happy(alice))<=>(?[X]:(~calm(X))))&
(![X]:((~happy(X)&brave(X))=>(happy(X)&k... | ~creative(paul) | [] | null | 0 |
If alice is not funny then someone is either not happy or not funny.
If mary is rich or not rich then paul is not kind or not rich.
If someone is not wise or not tall then someone is either not patient or not humble.
Everyone who is not strong or not wise is both calm and not generous.
Everyone who is either not kind o... | Paul is not quiet. | neutral | ((~funny(alice))=>(?[X]:((~happy(X)<~>~funny(X)))))&
(((rich(mary)|~rich(mary)))=>((~kind(paul)|~rich(paul))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((~strong(X)|~wise(X))=>(calm(X)&~generous(X))))&
(![X]:((~kind(X)<~>old(X))<=>(funny(X)&generous(X))))&
(![X]:((wise(X)|~quiet(X))=>... | ~quiet(paul) | [] | null | 0 |
If someone is either patient or not kind then paul is either not tall or not funny and vice versa. Everyone who is not strong or happy is wise. If someone is not creative then someone is not rich or not strong and vice versa. If susan is both quiet and generous then alice is quiet or not curious and vice versa. Everyon... | Fred is not strong. | contradiction | ((?[X]:((patient(X)<~>~kind(X))))<=>((~tall(paul)<~>~funny(paul))))&
(![X]:((~strong(X)|happy(X))=>wise(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~rich(X)|~strong(X)))))&
(((quiet(susan)&generous(susan)))<=>((quiet(alice)|~curious(alice))))&
(![X]:((~brave(X)&~happy(X))<=>(~kind(X)|~tall(X))))&
(![X]:((~creative(X)<~>~ric... | ~strong(fred) | [
"p4",
"p6",
"p11",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5638753641483322191108631
% SZS output start Proof for 5638753641483322191108631
5. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (~tall(X0) | ~kind(X0))) [input p4]
7. ! [X0] : ((brave(X0) | tall(X0)) <=> (~generous(X0) <~> tall(X0))) [input p6]
12. ! [X0] : ((~quiet(X0) <~> ~strong(X0)) <=> ~... | 0 |
If someone is both not funny and quiet then someone is either brave or curious.
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is q... | Mary is creative. | contradiction | ((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((pati... | creative(mary) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5503756099725934134167831
% SZS output start Proof for 5503756099725934134167831
2. ! [X0] : ((rich(X0) | creative(X0)) <=> (old(X0) & curious(X0))) [input p1]
12. ! [X0] : (curious(X0) => (~curious(X0) & rich(X0))) [input p11]
23. creative(mary) [input hypothesis]
30. ! [X0] : ((~curious... | 0 |
Everyone who is both brave and old is both not quiet and generous and vice versa.
Everyone who is brave or calm is either not calm or not old.
If fred is either not happy or kind then someone is not rich or patient.
Everyone who is both humble and happy is curious.
Everyone who is either generous or funny is both not t... | Mary is not generous. | entailment | (![X]:((brave(X)&old(X))<=>(~quiet(X)&generous(X))))&
(![X]:((brave(X)|calm(X))=>(~calm(X)<~>~old(X))))&
(((~happy(fred)<~>kind(fred)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((humble(X)&happy(X))=>curious(X)))&
(![X]:((generous(X)<~>funny(X))=>(~tall(X)&~patient(X))))&
((?[X]:((~rich(X)&~tall(X))))=>(tall(mary)))&
(!... | ~generous(mary) | [
"p0",
"p6",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 315517564656532318639074
% SZS output start Proof for 315517564656532318639074
1. ! [X0] : ((old(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p0]
7. ! [X0] : (~strong(X0) <=> (quiet(X0) <~> ~old(X0))) [input p6]
14. ! [X0] : ((old(X0) | ~wise(X0)) <=> (strong(X0) <~> brave(X0)... | 0 |
Everyone who is tall is both not tall and not creative and vice versa. If someone is not kind or not happy then john is both calm and happy and vice versa. If someone is not strong or curious then someone is either not tall or curious and vice versa. If alice is both not kind and not rich then someone is either not wis... | Alice is brave. | neutral | (![X]:(tall(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((calm(john)&happy(john))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brav... | brave(alice) | [] | null | 0 |
If john is either quiet or not quiet then john is either not kind or humble and vice versa. If someone is not brave then someone is either not patient or funny. Everyone who is not patient is not kind. Everyone who is both patient and calm is either not happy or old. Everyone who is both old and brave is either not hum... | Alice is wise. | neutral | (((quiet(john)<~>~quiet(john)))<=>((~kind(john)<~>humble(john))))&
((?[X]:(~brave(X)))=>(?[X]:((~patient(X)<~>funny(X)))))&
(![X]:(~patient(X)=>~kind(X)))&
(![X]:((patient(X)&calm(X))=>(~happy(X)<~>old(X))))&
(![X]:((old(X)&brave(X))=>(~humble(X)<~>curious(X))))&
((kind(fred))<=>(?[X]:((brave(X)&~creative(X)))))&
(![X]... | wise(alice) | [] | null | 0 |
If someone is rich then someone is both not funny and quiet. If fred is both brave and kind then someone is not tall or not brave and vice versa. Everyone who is either calm or not generous is either not rich or funny. Everyone who is either not rich or curious is either creative or humble. If someone is either not ric... | Lucy is not happy. | entailment | ((?[X]:(rich(X)))=>(?[X]:((~funny(X)&quiet(X)))))&
(((brave(fred)&kind(fred)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((calm(X)<~>~generous(X))=>(~rich(X)<~>funny(X))))&
(![X]:((~rich(X)<~>curious(X))=>(creative(X)<~>humble(X))))&
((?[X]:((~rich(X)<~>~creative(X))))<=>((~humble(fred)|~generous(fred))))&
(![X]:((strong... | ~happy(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 67484782594191449815897
% SZS output start Proof for 67484782594191449815897
18. ~happy(lucy) & rich(lucy) [input p17]
25. happy(lucy) [input hypothesis]
127. ~happy(lucy) [cnf transformation 18]
137. happy(lucy) [cnf transformation 25]
288. $false [subsumption resolution 137,127]
% SZS o... | 0 |
If alice is both not brave and not curious then someone is patient and vice versa.
Everyone who is not curious or not quiet is both patient and not old and vice versa.
If fred is both curious and generous then someone is generous or wise.
Everyone who is either wise or strong is tall and vice versa.
Everyone who is cal... | Alice is kind. | entailment | (((~brave(alice)&~curious(alice)))<=>(?[X]:(patient(X))))&
(![X]:((~curious(X)|~quiet(X))<=>(patient(X)&~old(X))))&
(((curious(fred)&generous(fred)))=>(?[X]:((generous(X)|wise(X)))))&
(![X]:((wise(X)<~>strong(X))<=>tall(X)))&
(![X]:((calm(X)|~brave(X))<=>(generous(X)|kind(X))))&
(((happy(john)|kind(john)))<=>((~curious... | kind(alice) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p12",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3364901431540678381230684
% SZS output start Proof for 3364901431540678381230684
1. (~curious(alice) & ~brave(alice)) <=> ? [X0] : patient(X0) [input p0]
4. ! [X0] : ((wise(X0) <~> strong(X0)) <=> tall(X0)) [input p3]
5. ! [X0] : ((~brave(X0) | calm(X0)) <=> (kind(X0) | generous(X0))) [in... | 0 |
If someone is not calm then someone is both not happy and curious and vice versa. Everyone who is generous or not generous is either rich or patient and vice versa. Everyone who is both calm and funny is both strong and humble. Everyone who is kind is either calm or humble and vice versa. Everyone who is either calm or... | Lucy is not creative. | neutral | ((?[X]:(~calm(X)))<=>(?[X]:((~happy(X)&curious(X)))))&
(![X]:((generous(X)|~generous(X))<=>(rich(X)<~>patient(X))))&
(![X]:((calm(X)&funny(X))=>(strong(X)&humble(X))))&
(![X]:(kind(X)<=>(calm(X)<~>humble(X))))&
(![X]:((calm(X)<~>tall(X))<=>(wise(X)|rich(X))))&
(((~kind(lucy)&~strong(lucy)))=>((~tall(mary)&brave(mary)))... | ~creative(lucy) | [] | null | 0 |
Everyone who is either not generous or not funny is either not kind or happy and vice versa.
Everyone who is either not tall or not calm is old or not old.
Everyone who is strong or not funny is not funny or not humble.
If someone is both not humble and not calm then someone is wise or generous and vice versa.
Everyone... | Fred is not creative. | entailment | (![X]:((~generous(X)<~>~funny(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((~tall(X)<~>~calm(X))=>(old(X)|~old(X))))&
(![X]:((strong(X)|~funny(X))=>(~funny(X)|~humble(X))))&
((?[X]:((~humble(X)&~calm(X))))<=>(?[X]:((wise(X)|generous(X)))))&
(![X]:(old(X)<=>(old(X)&~creative(X))))&
(![X]:(funny(X)=>(~funny(X)|wise(X))))&
(![X]... | ~creative(fred) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1803990474672007693975760
% SZS output start Proof for 1803990474672007693975760
15. ! [X0] : ((~creative(X0) & rich(X0)) <=> (humble(X0) | ~happy(X0))) [input p14]
19. ~happy(fred) & brave(fred) [input p18]
25. creative(fred) [input hypothesis]
72. ! [X0] : (((~creative(X0) & rich(X0)) |... | 0 |
If someone is either not brave or generous then someone is either not creative or tall.
If someone is kind or creative then susan is wise and vice versa.
Everyone who is not creative or creative is either not patient or not strong.
Everyone who is creative or not strong is either not brave or not happy.
Everyone who is... | John is not old. | neutral | ((?[X]:((~brave(X)<~>generous(X))))=>(?[X]:((~creative(X)<~>tall(X)))))&
((?[X]:((kind(X)|creative(X))))<=>(wise(susan)))&
(![X]:((~creative(X)|creative(X))=>(~patient(X)<~>~strong(X))))&
(![X]:((creative(X)|~strong(X))=>(~brave(X)<~>~happy(X))))&
(![X]:(brave(X)<=>happy(X)))&
(![X]:((~tall(X)&~curious(X))<=>(humble(X)... | ~old(john) | [] | null | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Lucy is not humble. | entailment | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~humble(lucy) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7282544432571824859821810
% SZS output start Proof for 7282544432571824859821810
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~cre... | 0 |
Everyone who is not wise is both not quiet and not brave and vice versa.
If someone is both strong and funny then someone is both wise and not kind and vice versa.
Everyone who is generous or patient is not strong or happy and vice versa.
If mary is not humble then someone is not brave and vice versa.
If susan is not o... | Fred is generous. | neutral | (![X]:(~wise(X)<=>(~quiet(X)&~brave(X))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((generous(X)|patient(X))<=>(~strong(X)|happy(X))))&
((~humble(mary))<=>(?[X]:(~brave(X))))&
((~old(susan))=>((~humble(alice)&strong(alice))))&
(![X]:((~strong(X)&happy(X))<=>(tall(X)&humble(X))))&
((?[X]:((c... | generous(fred) | [] | null | 0 |
Everyone who is strong or not rich is not generous and vice versa.
Everyone who is calm is either not strong or humble and vice versa.
Everyone who is either generous or not rich is both old and kind and vice versa.
Everyone who is generous or kind is strong and vice versa.
Everyone who is not patient or humble is funn... | Susan is not patient. | contradiction | (![X]:((strong(X)|~rich(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(old(X)&kind(X))))&
(![X]:((generous(X)|kind(X))<=>strong(X)))&
(![X]:((~patient(X)|humble(X))<=>funny(X)))&
((?[X]:((creative(X)&old(X))))=>(?[X]:((old(X)&creative(X)))))&
(![X]:((generous(X)|ha... | ~patient(susan) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6154002479641761111326405
% SZS output start Proof for 6154002479641761111326405
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> strong(X0)) [input... | 0 |
If someone is both brave and not funny then someone is not quiet or not humble and vice versa.
If someone is kind or not brave then fred is not wise or not tall and vice versa.
If someone is calm or not quiet then someone is not creative and vice versa.
If paul is brave then lucy is not creative or strong and vice vers... | Alice is humble. | entailment | ((?[X]:((brave(X)&~funny(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((kind(X)|~brave(X))))<=>((~wise(fred)|~tall(fred))))&
((?[X]:((calm(X)|~quiet(X))))<=>(?[X]:(~creative(X))))&
((brave(paul))<=>((~creative(lucy)|strong(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((strong(X)&~strong(X)))))&
(((humble(susan)|~happy(susa... | humble(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6020563730226999239316375
% SZS output start Proof for 6020563730226999239316375
1. ? [X0] : (~funny(X0) & brave(X0)) <=> ? [X0] : (~humble(X0) | ~quiet(X0)) [input p0]
5. ? [X0] : brave(X0) <=> ? [X0] : (~strong(X0) & strong(X0)) [input p4]
24. ~humble(alice) [input hypothesis]
25. ? [X0... | 0 |
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