premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not strong or not humble is both not generous and patient.
Everyone who is not happy is not old and vice versa.
If alice is wise then fred is not curious or not funny and vice versa.
If someone is creative then someone is both quiet and not wise.
If lucy is strong then fred is funny.
If mary is both cur... | Paul is generous. | entailment | (![X]:((~strong(X)|~humble(X))=>(~generous(X)&patient(X))))&
(![X]:(~happy(X)<=>~old(X)))&
((wise(alice))<=>((~curious(fred)|~funny(fred))))&
((?[X]:(creative(X)))=>(?[X]:((quiet(X)&~wise(X)))))&
((strong(lucy))=>(funny(fred)))&
(((curious(mary)&calm(mary)))=>((patient(lucy)&~patient(lucy))))&
(![X]:((~wise(X)|~humble(... | generous(paul) | [
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3016882590031329667703305
% SZS output start Proof for 3016882590031329667703305
9. ! [X0] : ((generous(X0) | old(X0)) => (~patient(X0) & ~funny(X0))) [input p8]
16. ! [X0] : ((~funny(X0) | ~patient(X0)) => (generous(X0) <~> ~old(X0))) [input p15]
17. old(paul) [input p16]
25. ~generous(p... | 0 |
If someone is rich or tall then someone is both rich and quiet and vice versa.
Everyone who is not patient or not old is either not old or not rich.
Everyone who is tall is both not generous and generous and vice versa.
Everyone who is either curious or calm is either not old or not curious and vice versa.
If someone i... | Mary is wise. | entailment | ((?[X]:((rich(X)|tall(X))))<=>(?[X]:((rich(X)&quiet(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)<~>~rich(X))))&
(![X]:(tall(X)<=>(~generous(X)&generous(X))))&
(![X]:((curious(X)<~>calm(X))<=>(~old(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:((funny(X)<~>~generous(X))<=>~ta... | wise(mary) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7773017433043639702765809
% SZS output start Proof for 7773017433043639702765809
10. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> wise(X0)) [input p9]
21. ~quiet(mary) [input p20]
24. ~wise(mary) [input hypothesis]
57. ! [X0] : (((~quiet(X0) | ~creative(X0)) | ~wise(X0)) & (wise(X0) | (quie... | 0 |
If mary is tall or not patient then alice is either not humble or curious.
Everyone who is not calm is either generous or not strong and vice versa.
Everyone who is old or not tall is curious or wise and vice versa.
If susan is not kind or quiet then someone is not patient and vice versa.
Everyone who is not quiet is s... | Alice is happy. | contradiction | (((tall(mary)|~patient(mary)))=>((~humble(alice)<~>curious(alice))))&
(![X]:(~calm(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((old(X)|~tall(X))<=>(curious(X)|wise(X))))&
(((~kind(susan)|quiet(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~quiet(X)<=>(strong(X)|~tall(X))))&
(((tall(paul)<~>happy(paul)))<=>(?[X]:(~generous(X))... | happy(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2093798837994680484662145
% SZS output start Proof for 2093798837994680484662145
9. ! [X0] : ((rich(X0) | happy(X0)) <=> ~happy(X0)) [input p8]
24. happy(alice) [input hypothesis]
48. ! [X0] : (((rich(X0) | happy(X0)) | happy(X0)) & (~happy(X0) | (~rich(X0) & ~happy(X0)))) [nnf transforma... | 0 |
If susan is brave or not kind then someone is either not creative or creative and vice versa. Everyone who is either not rich or not humble is both happy and patient and vice versa. If someone is tall then someone is both not kind and kind. Everyone who is humble or calm is not quiet and vice versa. If someone is eithe... | Paul is tall. | contradiction | (((brave(susan)|~kind(susan)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(happy(X)&patient(X))))&
((?[X]:(tall(X)))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((humble(X)|calm(X))<=>~quiet(X)))&
((?[X]:((curious(X)<~>~generous(X))))=>((~humble(john)<~>old(john))))&
(((~old(lucy)<~>~funny(lucy... | tall(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 411542544448318276984187
% SZS output start Proof for 411542544448318276984187
3. ? [X0] : tall(X0) => ? [X0] : (kind(X0) & ~kind(X0)) [input p2]
24. tall(paul) [input hypothesis]
25. ? [X0] : tall(X0) => ? [X1] : (kind(X1) & ~kind(X1)) [rectify 3]
28. ? [X1] : (kind(X1) & ~kind(X1)) | ! ... | 0 |
Everyone who is either not patient or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich... | John is calm. | entailment | (![X]:((~patient(X)<~>~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X))... | calm(john) | [
"p0",
"p2",
"p4",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1784898662740615840305334
% SZS output start Proof for 1784898662740615840305334
1. ! [X0] : ((~patient(X0) <~> ~quiet(X0)) => (kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) => (quiet(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (k... | 0 |
If paul is both not rich and tall then john is both wise and not patient.
Everyone who is quiet or creative is not patient and vice versa.
If someone is either generous or curious then mary is both not brave and not patient and vice versa.
If someone is kind then john is both wise and not wise and vice versa.
Everyone ... | John is not funny. | entailment | (((~rich(paul)&tall(paul)))=>((wise(john)&~patient(john))))&
(![X]:((quiet(X)|creative(X))<=>~patient(X)))&
((?[X]:((generous(X)<~>curious(X))))<=>((~brave(mary)&~patient(mary))))&
((?[X]:(kind(X)))<=>((wise(john)&~wise(john))))&
(![X]:((patient(X)&~wise(X))<=>(~rich(X)<~>curious(X))))&
((?[X]:((brave(X)<~>~brave(X))))... | ~funny(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3037364274348275262316562
% SZS output start Proof for 3037364274348275262316562
8. ? [X0] : (~tall(X0) | funny(X0)) <=> (~generous(john) & generous(john)) [input p7]
23. funny(john) [input hypothesis]
55. (? [X0] : (~tall(X0) | funny(X0)) | (generous(john) | ~generous(john))) & ((~genero... | 0 |
Everyone who is old or generous is either creative or not calm and vice versa.
If someone is either creative or strong then mary is not brave.
Everyone who is both humble and happy is either not kind or funny and vice versa.
Everyone who is not quiet is not brave or not rich and vice versa.
Everyone who is old is gener... | Susan is happy. | neutral | (![X]:((old(X)|generous(X))<=>(creative(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X))))&
(![X]:(~rich(X)=>(strong(X)&quiet(X))))&
(![X]:((~rich(X)&~tall(X))=>... | happy(susan) | [] | null | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | Mary is wise. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | wise(mary) | [] | null | 0 |
Everyone who is humble or brave is not creative.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not quiet or not old.
Every... | Susan is not wise. | entailment | (![X]:((humble(X)|brave(X))=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((~h... | ~wise(susan) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2067965295720654804265857
% SZS output start Proof for 2067965295720654804265857
1. ! [X0] : ((brave(X0) | humble(X0)) => ~creative(X0)) [input p0]
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
6. ! [X0] ... | 0 |
If fred is either happy or not tall then john is either not creative or not old and vice versa. Everyone who is not patient is both not quiet and strong and vice versa. If someone is not old then john is either not brave or calm. If someone is both not brave and not happy then someone is either not creative or curious ... | Lucy is not wise. | entailment | (((happy(fred)<~>~tall(fred)))<=>((~creative(john)<~>~old(john))))&
(![X]:(~patient(X)<=>(~quiet(X)&strong(X))))&
((?[X]:(~old(X)))=>((~brave(john)<~>calm(john))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(((~old(paul)|~patient(paul)))=>((~wise(alice)<~>funny(alice))))&
((?[X]:(tall(X))... | ~wise(lucy) | [
"p2",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6375282234567825932155
% SZS output start Proof for 6375282234567825932155
3. ? [X0] : ~old(X0) => (~brave(john) <~> calm(john)) [input p2]
8. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> ~brave(X0)) [input p7]
9. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> old(X0)) [input p8]
15. ! [X0] : ((~cur... | 0 |
Everyone who is tall is quiet and vice versa. If someone is not strong or not kind then someone is not wise. Everyone who is both not humble and not strong is both not calm and not strong. If someone is both wise and not humble then mary is humble. If alice is both old and rich then someone is both not funny and quiet.... | Mary is calm. | neutral | (![X]:(tall(X)<=>quiet(X)))&
((?[X]:((~strong(X)|~kind(X))))=>(?[X]:(~wise(X))))&
(![X]:((~humble(X)&~strong(X))=>(~calm(X)&~strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(humble(mary)))&
(((old(alice)&rich(alice)))=>(?[X]:((~funny(X)&quiet(X)))))&
((~calm(paul))=>((old(susan)<~>~rich(susan))))&
(![X]:((funny(X)&~patie... | calm(mary) | [] | null | 0 |
Everyone who is kind is either not generous or brave and vice versa.
If paul is both not curious and not kind then paul is not generous and vice versa.
If paul is both tall and not kind then someone is either tall or not strong and vice versa.
If fred is not wise or happy then mary is not creative and vice versa.
If so... | Paul is not generous. | neutral | (![X]:(kind(X)<=>(~generous(X)<~>brave(X))))&
(((~curious(paul)&~kind(paul)))<=>(~generous(paul)))&
(((tall(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~strong(X)))))&
(((~wise(fred)|happy(fred)))<=>(~creative(mary)))&
((?[X]:((~quiet(X)<~>patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
((~curious(fred))<=>(?[X]:((~creative(... | ~generous(paul) | [] | null | 0 |
Everyone who is both strong and tall is both tall and not rich. Everyone who is either not calm or not kind is happy or not calm and vice versa. If someone is not wise then lucy is both patient and not calm and vice versa. If someone is either not happy or not humble then fred is patient and vice versa. Everyone who is... | Susan is not old. | entailment | (![X]:((strong(X)&tall(X))=>(tall(X)&~rich(X))))&
(![X]:((~calm(X)<~>~kind(X))<=>(happy(X)|~calm(X))))&
((?[X]:(~wise(X)))<=>((patient(lucy)&~calm(lucy))))&
((?[X]:((~happy(X)<~>~humble(X))))<=>(patient(fred)))&
(![X]:((~curious(X)&kind(X))<=>rich(X)))&
(![X]:((~generous(X)&~creative(X))=>(strong(X)&patient(X))))&
(((h... | ~old(susan) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2056797605480724154246920
% SZS output start Proof for 2056797605480724154246920
10. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (calm(X0) & ~curious(X0))) [input p9]
16. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> old(X0)) [input p15]
24. old(susan) [input hypothesis]
60. ! [X0] : (((~brave(X0)... | 0 |
If someone is either not quiet or patient then someone is tall and vice versa. Everyone who is both curious and not happy is either happy or not patient. If alice is either not generous or patient then someone is not happy or not strong and vice versa. Everyone who is patient is not curious or wise and vice versa. Ever... | Susan is not calm. | contradiction | ((?[X]:((~quiet(X)<~>patient(X))))<=>(?[X]:(tall(X))))&
(![X]:((curious(X)&~happy(X))=>(happy(X)<~>~patient(X))))&
(((~generous(alice)<~>patient(alice)))<=>(?[X]:((~happy(X)|~strong(X)))))&
(![X]:(patient(X)<=>(~curious(X)|wise(X))))&
(![X]:(funny(X)<=>(~kind(X)<~>~brave(X))))&
(![X]:(brave(X)<=>(~curious(X)&~patient(X... | ~calm(susan) | [
"p0",
"p3",
"p5",
"p9",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7831477499141326389478148
% SZS output start Proof for 7831477499141326389478148
1. ? [X0] : (~quiet(X0) <~> patient(X0)) <=> ? [X0] : tall(X0) [input p0]
4. ! [X0] : (patient(X0) <=> (wise(X0) | ~curious(X0))) [input p3]
6. ! [X0] : (brave(X0) <=> (~patient(X0) & ~curious(X0))) [input p5... | 0 |
If someone is both not tall and strong then someone is both creative and tall.
If fred is not strong or not calm then paul is either not humble or strong and vice versa.
Everyone who is either not generous or old is both happy and not funny and vice versa.
Everyone who is not curious is both not generous and not quiet ... | Fred is brave. | neutral | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((creative(X)&tall(X)))))&
(((~strong(fred)|~calm(fred)))<=>((~humble(paul)<~>strong(paul))))&
(![X]:((~generous(X)<~>old(X))<=>(happy(X)&~funny(X))))&
(![X]:(~curious(X)<=>(~generous(X)&~quiet(X))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&pat... | brave(fred) | [] | null | 0 |
Everyone who is not tall is funny or not brave and vice versa. Everyone who is not creative or not tall is both strong and not generous. Everyone who is both generous and not quiet is calm. If susan is brave or not kind then someone is either not calm or patient and vice versa. Everyone who is both old and generous is ... | Mary is not strong. | contradiction | (![X]:(~tall(X)<=>(funny(X)|~brave(X))))&
(![X]:((~creative(X)|~tall(X))=>(strong(X)&~generous(X))))&
(![X]:((generous(X)&~quiet(X))=>calm(X)))&
(((brave(susan)|~kind(susan)))<=>(?[X]:((~calm(X)<~>patient(X)))))&
(![X]:((old(X)&generous(X))=>old(X)))&
(![X]:(curious(X)<=>(~creative(X)<~>funny(X))))&
(![X]:((~happy(X)<~... | ~strong(mary) | [
"p1",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2041828093023237363831406
% SZS output start Proof for 2041828093023237363831406
2. ! [X0] : ((~tall(X0) | ~creative(X0)) => (~generous(X0) & strong(X0))) [input p1]
8. ! [X0] : ((~brave(X0) | brave(X0)) => ~patient(X0)) [input p7]
10. ~calm(mary) => ? [X0] : patient(X0) [input p9]
15. ! ... | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | John is quiet. | entailment | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | quiet(john) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1664914065748479580826632
% SZS output start Proof for 1664914065748479580826632
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
Everyone who is either not calm or wise is both patient and generous and vice versa.
If fred is either quiet or generous then someone is happy or not humble.
If mary is either not brave or not tall then someone is funny.
If susan is not tall then someone is rich and vice versa.
If alice is both brave and not curious th... | Lucy is not tall. | contradiction | (![X]:((~calm(X)<~>wise(X))<=>(patient(X)&generous(X))))&
(((quiet(fred)<~>generous(fred)))=>(?[X]:((happy(X)|~humble(X)))))&
(((~brave(mary)<~>~tall(mary)))=>(?[X]:(funny(X))))&
((~tall(susan))<=>(?[X]:(rich(X))))&
(((brave(alice)&~curious(alice)))<=>((~calm(mary)&quiet(mary))))&
(![X]:((happy(X)|patient(X))=>happy(X)... | ~tall(lucy) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 149875271535146137447595
% SZS output start Proof for 149875271535146137447595
8. ! [X0] : (~tall(X0) => (brave(X0) & old(X0))) [input p7]
9. ! [X0] : ((~curious(X0) | brave(X0)) <=> (brave(X0) & tall(X0))) [input p8]
24. ~tall(lucy) [input hypothesis]
29. ! [X0] : (~tall(X0) => brave(X0)... | 0 |
If someone is not kind or old then someone is either not happy or happy and vice versa.
Everyone who is both generous and rich is not calm and vice versa.
If someone is both not generous and brave then someone is both not creative and not generous.
Everyone who is both not tall and not calm is not patient and vice vers... | Susan is wise. | contradiction | ((?[X]:((~kind(X)|old(X))))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(![X]:((generous(X)&rich(X))<=>~calm(X)))&
((?[X]:((~generous(X)&brave(X))))=>(?[X]:((~creative(X)&~generous(X)))))&
(![X]:((~tall(X)&~calm(X))<=>~patient(X)))&
(![X]:((~wise(X)<~>~generous(X))<=>(wise(X)|~calm(X))))&
(![X]:((patient(X)|funny(X))=>calm(X))... | wise(susan) | [
"p1",
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5914208647069644349439707
% SZS output start Proof for 5914208647069644349439707
2. ! [X0] : ((rich(X0) & generous(X0)) <=> ~calm(X0)) [input p1]
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> (~calm(X0) | wise(X0))) [input... | 0 |
Everyone who is both tall and rich is kind. Everyone who is old or brave is quiet and vice versa. Everyone who is both rich and brave is not calm and vice versa. Everyone who is not brave or patient is both not creative and not funny. If someone is not quiet or not curious then lucy is both curious and not rich. If som... | Mary is brave. | entailment | (![X]:((tall(X)&rich(X))=>kind(X)))&
(![X]:((old(X)|brave(X))<=>quiet(X)))&
(![X]:((rich(X)&brave(X))<=>~calm(X)))&
(![X]:((~brave(X)|patient(X))=>(~creative(X)&~funny(X))))&
((?[X]:((~quiet(X)|~curious(X))))=>((curious(lucy)&~rich(lucy))))&
((?[X]:(humble(X)))=>((~creative(fred)<~>~happy(fred))))&
((?[X]:(~quiet(X)))=... | brave(mary) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2769980187424355466355451
% SZS output start Proof for 2769980187424355466355451
2. ! [X0] : ((brave(X0) | old(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((brave(X0) & rich(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] : ((patient(X0) | ~brave(X0)) => (~funny(X0) & ~creative(X0))) [input p3]
5... | 0 |
Everyone who is brave or rich is both not wise and not brave and vice versa.
Everyone who is both old and generous is not tall or calm.
Everyone who is either not humble or calm is not happy or not kind and vice versa.
If someone is wise then susan is both rich and quiet.
Everyone who is not rich or not quiet is not ca... | Alice is old. | entailment | (![X]:((brave(X)|rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:((old(X)&generous(X))=>(~tall(X)|calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(![X]:((strong(X... | old(alice) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2938622441985281940244838
% SZS output start Proof for 2938622441985281940244838
1. ! [X0] : ((rich(X0) | brave(X0)) <=> (~brave(X0) & ~wise(X0))) [input p0]
3. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> (~kind(X0) | ~happy(X0))) [input p2]
6. ! [X0] : (~calm(X0) <=> (~happy(X0) | ~old(X0))... | 0 |
Everyone who is not patient is both tall and not wise. If someone is both not humble and brave then someone is not funny or not calm and vice versa. Everyone who is funny is both calm and strong and vice versa. Everyone who is either not calm or old is not generous and vice versa. Everyone who is both wise and not quie... | Susan is curious. | neutral | (![X]:(~patient(X)=>(tall(X)&~wise(X))))&
((?[X]:((~humble(X)&brave(X))))<=>(?[X]:((~funny(X)|~calm(X)))))&
(![X]:(funny(X)<=>(calm(X)&strong(X))))&
(![X]:((~calm(X)<~>old(X))<=>~generous(X)))&
(![X]:((wise(X)&~quiet(X))=>(~strong(X)|~quiet(X))))&
((?[X]:((humble(X)&~funny(X))))<=>(?[X]:((humble(X)<~>brave(X)))))&
(((b... | curious(susan) | [] | null | 0 |
If someone is both not humble and not old then someone is either not rich or not old. If someone is kind or creative then mary is either strong or not funny and vice versa. Everyone who is patient or humble is strong or not strong and vice versa. Everyone who is both not generous and wise is either humble or patient an... | Susan is quiet. | contradiction | ((?[X]:((~humble(X)&~old(X))))=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((kind(X)|creative(X))))<=>((strong(mary)<~>~funny(mary))))&
(![X]:((patient(X)|humble(X))<=>(strong(X)|~strong(X))))&
(![X]:((~generous(X)&wise(X))<=>(humble(X)<~>patient(X))))&
(![X]:(patient(X)=>(funny(X)<~>~quiet(X))))&
((?[X]:((wise(X)<~>~humbl... | quiet(susan) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4194706046732266254841714
% SZS output start Proof for 4194706046732266254841714
3. ! [X0] : ((humble(X0) | patient(X0)) <=> (~strong(X0) | strong(X0))) [input p2]
4. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (humble(X0) <~> patient(X0))) [input p3]
5. ! [X0] : (patient(X0) => (funny(X0) <... | 0 |
If someone is either creative or not humble then someone is not rich or strong.
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then someone is either not humble or happy.
Everyone who is happy is wise and vice versa.
Everyone who is either not creative or old is both not rich... | John is not creative. | contradiction | ((?[X]:((creative(X)<~>~humble(X))))=>(?[X]:((~rich(X)|strong(X)))))&
((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))&
(![X]:(~kind(X)<=>(quiet(X)|~old(X))))&
(((~patient(susan)&~c... | ~creative(john) | [
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8796732425133953672709614
% SZS output start Proof for 8796732425133953672709614
6. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p5]
7. (~creative(susan) & ~patient(susan)) <=> old(john) [input p6]
9. ~old(susan) <=> ? [X0] : (happy(X0) <~> ~happy(X0)) [input p8]
12. ! [X0] : (~... | 0 |
Everyone who is funny is either not wise or calm and vice versa. If someone is kind or not strong then paul is either not quiet or not strong. Everyone who is both quiet and kind is both not strong and curious. If someone is either funny or not tall then susan is not wise. Everyone who is not patient or calm is either ... | Fred is not brave. | contradiction | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((kind(X)|~strong(X))))=>((~quiet(paul)<~>~strong(paul))))&
(![X]:((quiet(X)&kind(X))=>(~strong(X)&curious(X))))&
((?[X]:((funny(X)<~>~tall(X))))=>(~wise(susan)))&
(![X]:((~patient(X)|calm(X))<=>(wise(X)<~>humble(X))))&
((~wise(lucy))=>((brave(susan)|creative(susan))))&
... | ~brave(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4475548452003702839944501
% SZS output start Proof for 4475548452003702839944501
11. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p10]
24. ~brave(fred) [input hypothesis]
63. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient... | 0 |
Everyone who is not creative is both wise and funny.
If someone is not happy or tall then mary is not kind or not curious.
If fred is brave then someone is both not generous and funny.
Everyone who is both not strong and kind is generous or funny.
If someone is either happy or creative then someone is not funny and vic... | Susan is generous. | neutral | (![X]:(~creative(X)=>(wise(X)&funny(X))))&
((?[X]:((~happy(X)|tall(X))))=>((~kind(mary)|~curious(mary))))&
((brave(fred))=>(?[X]:((~generous(X)&funny(X)))))&
(![X]:((~strong(X)&kind(X))=>(generous(X)|funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~generous(X)<~>kind(X))=>(happy(X)|~humbl... | generous(susan) | [] | null | 0 |
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or not old is not calm or not strong.
If alice is either not strong or old then someone is both not funny and not wise and vice versa.
Everyone who is not kind or not wise is not tall or not old and vice versa.
Everyone who is b... | Paul is not funny. | contradiction | (![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~kind(X)|~wise(X))<=>(~tall(X)|~old(X))))&
(![X]:((humble(X)&generous(X))<=>(~generous(X)|creative(X))))&
(![X]:((old(X)<~>creative(X))=>(~gener... | ~funny(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7445488900872898962646854
% SZS output start Proof for 7445488900872898962646854
1. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p0]
3. (~strong(alice) <~> old(alice)) <=> ? [X0] : (~wise(X0) & ~funny(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~old(X0) | ~t... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Alice is not tall. | entailment | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~tall(alice) | [
"p0",
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2985225308997584630563204
% SZS output start Proof for 2985225308997584630563204
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (~rich(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [... | 0 |
Everyone who is curious or not old is calm.
Everyone who is brave or old is not rich or calm and vice versa.
Everyone who is wise is old or not wise.
If someone is not calm then alice is rich or kind.
If someone is either not rich or brave then john is both not strong and funny.
Everyone who is rich is either not calm ... | John is not quiet. | neutral | (![X]:((curious(X)|~old(X))=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)|calm(X))))&
(![X]:(wise(X)=>(old(X)|~wise(X))))&
((?[X]:(~calm(X)))=>((rich(alice)|kind(alice))))&
((?[X]:((~rich(X)<~>brave(X))))=>((~strong(john)&funny(john))))&
(![X]:(rich(X)<=>(~calm(X)<~>curious(X))))&
(![X]:((kind(X)<~>funny(X))<=>(humb... | ~quiet(john) | [] | null | 0 |
Everyone who is either not rich or not curious is not wise or not happy.
If someone is patient then alice is generous.
If someone is either tall or not strong then someone is not brave or tall and vice versa.
Everyone who is creative or not quiet is either not kind or rich and vice versa.
Everyone who is either not str... | Fred is not humble. | entailment | (![X]:((~rich(X)<~>~curious(X))=>(~wise(X)|~happy(X))))&
((?[X]:(patient(X)))=>(generous(alice)))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((creative(X)|~quiet(X))<=>(~kind(X)<~>rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~strong(X)<~>rich(X))))&
((~rich(john))=>((funny(paul)<~>patient(... | ~humble(fred) | [
"p4",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7713397300771454183662545
% SZS output start Proof for 7713397300771454183662545
5. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (~strong(X0) <~> rich(X0))) [input p4]
8. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> ~wise(X0)) [input p7]
9. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> happy(X0)) [input p8]... | 0 |
If mary is either not curious or tall then lucy is either not rich or quiet and vice versa.
If john is not calm then alice is not calm and vice versa.
If mary is either brave or not rich then susan is wise and vice versa.
Everyone who is not kind is funny or not quiet and vice versa.
Everyone who is both not quiet and ... | Mary is patient. | contradiction | (((~curious(mary)<~>tall(mary)))<=>((~rich(lucy)<~>quiet(lucy))))&
((~calm(john))<=>(~calm(alice)))&
(((brave(mary)<~>~rich(mary)))<=>(wise(susan)))&
(![X]:(~kind(X)<=>(funny(X)|~quiet(X))))&
(![X]:((~quiet(X)&quiet(X))=>strong(X)))&
(![X]:((~strong(X)&wise(X))=>(patient(X)<~>~humble(X))))&
(![X]:(old(X)=>(~happy(X)|~c... | patient(mary) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5660437499023583418196087
% SZS output start Proof for 5660437499023583418196087
8. ? [X0] : (tall(X0) | happy(X0)) => (~tall(mary) & ~patient(mary)) [input p7]
22. ? [X0] : happy(X0) [input p21]
25. patient(mary) [input hypothesis]
31. (~tall(mary) & ~patient(mary)) | ! [X0] : (~tall(X0)... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Susan is quiet. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | quiet(susan) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3181720690763594925661915
% SZS output start Proof for 3181720690763594925661915
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p3]
6. ! [X0] : ((curious(X0)... | 0 |
Everyone who is either not quiet or curious is both not kind and not happy and vice versa.
If paul is humble then someone is not strong or not quiet.
If paul is not kind or not creative then susan is calm or not calm.
Everyone who is both curious and not funny is not kind and vice versa.
If someone is not strong then s... | Alice is not creative. | contradiction | (![X]:((~quiet(X)<~>curious(X))<=>(~kind(X)&~happy(X))))&
((humble(paul))=>(?[X]:((~strong(X)|~quiet(X)))))&
(((~kind(paul)|~creative(paul)))=>((calm(susan)|~calm(susan))))&
(![X]:((curious(X)&~funny(X))<=>~kind(X)))&
((?[X]:(~strong(X)))<=>((~humble(susan)<~>~brave(susan))))&
((?[X]:((happy(X)<~>~strong(X))))<=>(?[X]:... | ~creative(alice) | [
"p0",
"p3",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2712057096470598476925612
% SZS output start Proof for 2712057096470598476925612
1. ! [X0] : ((~quiet(X0) <~> curious(X0)) <=> (~happy(X0) & ~kind(X0))) [input p0]
4. ! [X0] : ((~funny(X0) & curious(X0)) <=> ~kind(X0)) [input p3]
9. ! [X0] : (~strong(X0) => ~quiet(X0)) [input p8]
10. ! [X... | 0 |
If someone is not funny then someone is both not patient and funny. Everyone who is both brave and happy is both not quiet and not curious and vice versa. Everyone who is funny is both not kind and not old and vice versa. If lucy is both strong and not old then someone is both funny and not funny and vice versa. If mar... | Fred is not funny. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((~patient(X)&funny(X)))))&
(![X]:((brave(X)&happy(X))<=>(~quiet(X)&~curious(X))))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(((strong(lucy)&~old(lucy)))<=>(?[X]:((funny(X)&~funny(X)))))&
(((rich(mary)|~tall(mary)))<=>(brave(fred)))&
(![X]:((brave(X)|~humble(X))=>curious(X)))&
(![X]:((~kind(X)... | ~funny(fred) | [] | null | 0 |
If someone is not humble or funny then john is brave and vice versa.
If lucy is calm then someone is both quiet and not patient.
Everyone who is either kind or not tall is not tall or not creative.
Everyone who is not quiet or kind is both humble and quiet and vice versa.
Everyone who is not happy is generous.
Everyone... | Lucy is not old. | entailment | ((?[X]:((~humble(X)|funny(X))))<=>(brave(john)))&
((calm(lucy))=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((kind(X)<~>~tall(X))=>(~tall(X)|~creative(X))))&
(![X]:((~quiet(X)|kind(X))<=>(humble(X)&quiet(X))))&
(![X]:(~happy(X)=>generous(X)))&
(![X]:((creative(X)|~patient(X))=>kind(X)))&
(![X]:((curious(X)&~funny(X))=>(~g... | ~old(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p11",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1289424496116341452445887
% SZS output start Proof for 1289424496116341452445887
3. ! [X0] : ((kind(X0) <~> ~tall(X0)) => (~creative(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> (quiet(X0) & humble(X0))) [input p3]
6. ! [X0] : ((~patient(X0) | creative(X0)) => kin... | 0 |
If someone is both rich and humble then susan is curious or happy.
Everyone who is either not old or tall is either not rich or generous.
Everyone who is not brave is brave or not creative and vice versa.
Everyone who is either wise or generous is quiet.
Everyone who is not curious is either happy or tall and vice vers... | Susan is wise. | entailment | ((?[X]:((rich(X)&humble(X))))=>((curious(susan)|happy(susan))))&
(![X]:((~old(X)<~>tall(X))=>(~rich(X)<~>generous(X))))&
(![X]:(~brave(X)<=>(brave(X)|~creative(X))))&
(![X]:((wise(X)<~>generous(X))=>quiet(X)))&
(![X]:(~curious(X)<=>(happy(X)<~>tall(X))))&
(![X]:(tall(X)<=>(~brave(X)|tall(X))))&
(((~curious(alice)&gener... | wise(susan) | [
"p2",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5385751751484491899769207
% SZS output start Proof for 5385751751484491899769207
3. ! [X0] : (~brave(X0) <=> (~creative(X0) | brave(X0))) [input p2]
6. ! [X0] : (tall(X0) <=> (tall(X0) | ~brave(X0))) [input p5]
15. ? [X0] : (~brave(X0) & ~wise(X0)) => ? [X0] : (old(X0) & ~tall(X0)) [input... | 0 |
Everyone who is both not curious and not rich is either kind or not patient.
If someone is either not strong or calm then someone is both not wise and not rich.
Everyone who is either old or not old is both not wise and brave.
Everyone who is wise or kind is both not creative and not generous and vice versa.
If someone... | Paul is not patient. | neutral | (![X]:((~curious(X)&~rich(X))=>(kind(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((~wise(X)&~rich(X)))))&
(![X]:((old(X)<~>~old(X))=>(~wise(X)&brave(X))))&
(![X]:((wise(X)|kind(X))<=>(~creative(X)&~generous(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((wise(X)|kind(X))<... | ~patient(paul) | [] | null | 0 |
If someone is happy then john is either not calm or kind and vice versa.
If alice is not funny or happy then john is wise.
If susan is both funny and quiet then someone is either brave or not tall and vice versa.
Everyone who is not calm is either not wise or not brave and vice versa.
If lucy is either humble or happy ... | John is not funny. | contradiction | ((?[X]:(happy(X)))<=>((~calm(john)<~>kind(john))))&
(((~funny(alice)|happy(alice)))=>(wise(john)))&
(((funny(susan)&quiet(susan)))<=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~calm(X)<=>(~wise(X)<~>~brave(X))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]... | ~funny(john) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3329919253144861677242969
% SZS output start Proof for 3329919253144861677242969
11. generous(fred) <=> funny(john) [input p10]
12. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p11]
14. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p13]
23.... | 0 |
Everyone who is generous is wise.
If someone is not kind then paul is either not brave or not happy and vice versa.
If someone is either quiet or not curious then someone is either quiet or not tall.
Everyone who is not kind is both not kind and not curious.
Everyone who is either not old or not strong is happy.
Everyo... | Lucy is not generous. | neutral | (![X]:(generous(X)=>wise(X)))&
((?[X]:(~kind(X)))<=>((~brave(paul)<~>~happy(paul))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:(~kind(X)=>(~kind(X)&~curious(X))))&
(![X]:((~old(X)<~>~strong(X))=>happy(X)))&
(![X]:((~happy(X)<~>generous(X))=>(~brave(X)<~>funny(X))))&
(((~kind(susan)&hap... | ~generous(lucy) | [] | null | 0 |
If john is not patient or not strong then paul is rich.
Everyone who is not rich is generous.
If someone is curious or quiet then fred is both not tall and not wise and vice versa.
Everyone who is not happy is not patient or brave and vice versa.
If susan is not wise or not generous then someone is not funny or not cre... | Susan is not rich. | neutral | (((~patient(john)|~strong(john)))=>(rich(paul)))&
(![X]:(~rich(X)=>generous(X)))&
((?[X]:((curious(X)|quiet(X))))<=>((~tall(fred)&~wise(fred))))&
(![X]:(~happy(X)<=>(~patient(X)|brave(X))))&
(((~wise(susan)|~generous(susan)))<=>(?[X]:((~funny(X)|~creative(X)))))&
(((~creative(lucy)|~humble(lucy)))<=>(?[X]:((rich(X)&old... | ~rich(susan) | [] | null | 0 |
If someone is either brave or not curious then someone is strong or not curious. If john is quiet or curious then mary is not quiet. If paul is humble or strong then susan is either not quiet or tall and vice versa. Everyone who is both wise and not patient is not funny or strong and vice versa. Everyone who is either ... | Susan is not strong. | entailment | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|~curious(X)))))&
(((quiet(john)|curious(john)))=>(~quiet(mary)))&
(((humble(paul)|strong(paul)))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:((wise(X)&~patient(X))<=>(~funny(X)|strong(X))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan))<=>((quiet(mary... | ~strong(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6354261088548446934914103
% SZS output start Proof for 6354261088548446934914103
4. ! [X0] : ((~patient(X0) & wise(X0)) <=> (strong(X0) | ~funny(X0))) [input p3]
7. ! [X0] : (patient(X0) <=> strong(X0)) [input p6]
24. strong(susan) [input hypothesis]
41. ! [X0] : (((~patient(X0) & wise(X0... | 0 |
If someone is both funny and curious then paul is either not curious or wise and vice versa.
If someone is either not rich or generous then john is old and vice versa.
If someone is either generous or funny then lucy is not kind or not strong.
Everyone who is not wise or rich is wise and vice versa.
If someone is both ... | Mary is wise. | entailment | ((?[X]:((funny(X)&curious(X))))<=>((~curious(paul)<~>wise(paul))))&
((?[X]:((~rich(X)<~>generous(X))))<=>(old(john)))&
((?[X]:((generous(X)<~>funny(X))))=>((~kind(lucy)|~strong(lucy))))&
(![X]:((~wise(X)|rich(X))<=>wise(X)))&
((?[X]:((quiet(X)&~quiet(X))))=>(?[X]:((~tall(X)&~calm(X)))))&
(((~quiet(mary)&happy(mary)))<=... | wise(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5662578831919885431651162
% SZS output start Proof for 5662578831919885431651162
4. ! [X0] : ((rich(X0) | ~wise(X0)) <=> wise(X0)) [input p3]
25. ~wise(mary) [input hypothesis]
52. ! [X0] : (((rich(X0) | ~wise(X0)) | ~wise(X0)) & (wise(X0) | (~rich(X0) & wise(X0)))) [nnf transformation 4]... | 0 |
Everyone who is either not kind or calm is both humble and wise and vice versa.
Everyone who is not brave is both strong and not tall and vice versa.
If alice is both creative and not quiet then lucy is strong and vice versa.
Everyone who is both old and humble is rich or brave and vice versa.
If alice is either curiou... | Paul is not humble. | neutral | (![X]:((~kind(X)<~>calm(X))<=>(humble(X)&wise(X))))&
(![X]:(~brave(X)<=>(strong(X)&~tall(X))))&
(((creative(alice)&~quiet(alice)))<=>(strong(lucy)))&
(![X]:((old(X)&humble(X))<=>(rich(X)|brave(X))))&
(((curious(alice)<~>~brave(alice)))=>(?[X]:((~creative(X)&curious(X)))))&
(((happy(john)<~>patient(john)))<=>(?[X]:(brav... | ~humble(paul) | [] | null | 0 |
Everyone who is both not brave and calm is both not tall and not happy.
Everyone who is funny is not kind.
Everyone who is tall is kind.
Everyone who is either not creative or not happy is quiet or rich and vice versa.
Everyone who is not happy or quiet is not creative or quiet.
Everyone who is not humble is both not s... | Paul is wise. | neutral | (![X]:((~brave(X)&calm(X))=>(~tall(X)&~happy(X))))&
(![X]:(funny(X)=>~kind(X)))&
(![X]:(tall(X)=>kind(X)))&
(![X]:((~creative(X)<~>~happy(X))<=>(quiet(X)|rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~creative(X)|quiet(X))))&
(![X]:(~humble(X)=>(~strong(X)&generous(X))))&
((?[X]:(happy(X)))=>(?[X]:((curious(X)&~patient(X))... | wise(paul) | [] | null | 0 |
Everyone who is either not generous or creative is both not calm and kind.
Everyone who is not humble or not generous is not rich or not kind.
Everyone who is either not curious or not wise is not old and vice versa.
If someone is rich then alice is brave or not curious.
Everyone who is either wise or old is kind or no... | Lucy is quiet. | contradiction | (![X]:((~generous(X)<~>creative(X))=>(~calm(X)&kind(X))))&
(![X]:((~humble(X)|~generous(X))=>(~rich(X)|~kind(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>~old(X)))&
((?[X]:(rich(X)))=>((brave(alice)|~curious(alice))))&
(![X]:((wise(X)<~>old(X))=>(kind(X)|~old(X))))&
(((~happy(paul)|~curious(paul)))<=>(quiet(mary)))&
((?[X]... | quiet(lucy) | [
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7790572760435490974531260
% SZS output start Proof for 7790572760435490974531260
13. ! [X0] : ((creative(X0) | ~wise(X0)) <=> ~quiet(X0)) [input p12]
24. patient(lucy) & ~wise(lucy) [input p23]
25. quiet(lucy) [input hypothesis]
51. ! [X0] : (((creative(X0) | ~wise(X0)) | quiet(X0)) & (~q... | 0 |
Everyone who is either not curious or not generous is strong and vice versa. Everyone who is creative is funny or not curious. Everyone who is either strong or not strong is funny and vice versa. Everyone who is not generous or tall is strong. If someone is both rich and calm then someone is either funny or generous an... | John is old. | neutral | (![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(X)<~>curious(X))))=>((wise(mary)<~>rich(mary))))&
(![X... | old(john) | [] | null | 0 |
Everyone who is not funny is kind.
If john is creative or not creative then someone is curious or not kind.
Everyone who is not tall is not creative or not funny.
Everyone who is curious or not funny is not happy or wise.
Everyone who is either not curious or not humble is either happy or rich and vice versa.
If someon... | Paul is not calm. | entailment | (![X]:(~funny(X)=>kind(X)))&
(((creative(john)|~creative(john)))=>(?[X]:((curious(X)|~kind(X)))))&
(![X]:(~tall(X)=>(~creative(X)|~funny(X))))&
(![X]:((curious(X)|~funny(X))=>(~happy(X)|wise(X))))&
(![X]:((~curious(X)<~>~humble(X))<=>(happy(X)<~>rich(X))))&
((?[X]:((~funny(X)&~generous(X))))<=>((rich(john)<~>~brave(joh... | ~calm(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1725366338201099595768209
% SZS output start Proof for 1725366338201099595768209
9. ! [X0] : ((~patient(X0) <~> patient(X0)) => ~calm(X0)) [input p8]
25. calm(paul) [input hypothesis]
36. ! [X0] : (~calm(X0) | (~patient(X0) <=> patient(X0))) [ennf transformation 9]
53. ! [X0] : (~calm(X0)... | 0 |
If mary is either not patient or humble then someone is either not humble or rich and vice versa.
Everyone who is not kind or quiet is either not kind or tall.
Everyone who is not calm is quiet.
Everyone who is kind is not old.
Everyone who is not funny is not rich or not tall.
Everyone who is not rich or not happy is ... | Fred is creative. | entailment | (((~patient(mary)<~>humble(mary)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<~>tall(X))))&
(![X]:(~calm(X)=>quiet(X)))&
(![X]:(kind(X)=>~old(X)))&
(![X]:(~funny(X)=>(~rich(X)|~tall(X))))&
(![X]:((~rich(X)|~happy(X))=>(~calm(X)|brave(X))))&
(![X]:(creative(X)=>(funny(X)|kind(X))))&
(![X]:... | creative(fred) | [
"p5",
"p7",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4047808984281470945238190
% SZS output start Proof for 4047808984281470945238190
6. ! [X0] : ((~happy(X0) | ~rich(X0)) => (brave(X0) | ~calm(X0))) [input p5]
8. ! [X0] : ((tall(X0) & ~funny(X0)) <=> (brave(X0) | quiet(X0))) [input p7]
10. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) ... | 0 |
Everyone who is creative or not calm is not generous or tall and vice versa. If alice is either not kind or creative then someone is both curious and not creative and vice versa. Everyone who is not calm or old is either creative or not old and vice versa. Everyone who is both rich and tall is either old or not old and... | John is not patient. | contradiction | (![X]:((creative(X)|~calm(X))<=>(~generous(X)|tall(X))))&
(((~kind(alice)<~>creative(alice)))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:((~calm(X)|old(X))<=>(creative(X)<~>~old(X))))&
(![X]:((rich(X)&tall(X))<=>(old(X)<~>~old(X))))&
(![X]:((~creative(X)&brave(X))<=>~patient(X)))&
((?[X]:((strong(X)<~>curious(X))))<=... | ~patient(john) | [
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2232617179281673956145178
% SZS output start Proof for 2232617179281673956145178
4. ! [X0] : ((tall(X0) & rich(X0)) <=> (old(X0) <~> ~old(X0))) [input p3]
5. ! [X0] : ((brave(X0) & ~creative(X0)) <=> ~patient(X0)) [input p4]
13. ? [X0] : (~old(X0) | ~creative(X0)) <=> ? [X0] : (~rich(X0) ... | 0 |
If alice is either curious or not funny then someone is not brave or wise and vice versa.
If someone is tall or calm then alice is not curious and vice versa.
Everyone who is not wise or not creative is either curious or not tall.
Everyone who is either brave or not generous is not curious or rich.
Everyone who is eith... | Lucy is not curious. | entailment | (((curious(alice)<~>~funny(alice)))<=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((tall(X)|calm(X))))<=>(~curious(alice)))&
(![X]:((~wise(X)|~creative(X))=>(curious(X)<~>~tall(X))))&
(![X]:((brave(X)<~>~generous(X))=>(~curious(X)|rich(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(generous(X)|~generous(X))))&
(![X]:((quiet(X)&hum... | ~curious(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p10",
"p13",
"p15",
"p16",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4838735648933144063554814
% SZS output start Proof for 4838735648933144063554814
1. (curious(alice) <~> ~funny(alice)) <=> ? [X0] : (wise(X0) | ~brave(X0)) [input p0]
2. ? [X0] : (calm(X0) | tall(X0)) <=> ~curious(alice) [input p1]
4. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (rich(X0) |... | 0 |
Everyone who is not curious is either patient or rich and vice versa. If fred is humble then someone is either old or patient. If someone is wise or patient then someone is generous. Everyone who is both not happy and generous is both brave and not old and vice versa. If someone is both calm and not funny then someone ... | Lucy is not curious. | contradiction | (![X]:(~curious(X)<=>(patient(X)<~>rich(X))))&
((humble(fred))=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&generous(X))<=>(brave(X)&~old(X))))&
((?[X]:((calm(X)&~funny(X))))=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~calm(X)&old(X))... | ~curious(lucy) | [
"p3",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4571161263857278845920147
% SZS output start Proof for 4571161263857278845920147
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> (~old(X0) & brave(X0))) [input p3]
11. ! [X0] : ((quiet(X0) <~> brave(X0)) <=> ~quiet(X0)) [input p10]
12. ! [X0] : ((old(X0) & strong(X0)) => (~happy(X0) & ~humbl... | 0 |
Everyone who is either wise or humble is curious.
If someone is not quiet or not generous then someone is either tall or patient.
Everyone who is both quiet and not strong is both brave and happy.
Everyone who is not kind or funny is either not strong or not rich and vice versa.
If john is both happy and not strong the... | Fred is not happy. | neutral | (![X]:((wise(X)<~>humble(X))=>curious(X)))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((tall(X)<~>patient(X)))))&
(![X]:((quiet(X)&~strong(X))=>(brave(X)&happy(X))))&
(![X]:((~kind(X)|funny(X))<=>(~strong(X)<~>~rich(X))))&
(((happy(john)&~strong(john)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((~strong(X)|wise(X... | ~happy(fred) | [] | null | 0 |
If susan is either happy or not happy then alice is not tall and vice versa.
Everyone who is not wise is not quiet or generous and vice versa.
Everyone who is either not rich or not calm is not creative or creative and vice versa.
Everyone who is rich or not rich is both creative and not strong and vice versa.
If someo... | Susan is funny. | neutral | (((happy(susan)<~>~happy(susan)))<=>(~tall(alice)))&
(![X]:(~wise(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>~calm(X))<=>(~creative(X)|creative(X))))&
(![X]:((rich(X)|~rich(X))<=>(creative(X)&~strong(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~generous(susan)|creative(susan))))&
(![X]:((~brave(X)<~>~happy(X))... | funny(susan) | [] | null | 0 |
Everyone who is both not humble and quiet is old and vice versa.
If fred is not calm then someone is rich or quiet and vice versa.
If someone is humble or patient then susan is curious.
If someone is either not calm or not patient then susan is either kind or not quiet.
If paul is both rich and calm then fred is both n... | Lucy is humble. | contradiction | (![X]:((~humble(X)&quiet(X))<=>old(X)))&
((~calm(fred))<=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((humble(X)|patient(X))))=>(curious(susan)))&
((?[X]:((~calm(X)<~>~patient(X))))=>((kind(susan)<~>~quiet(susan))))&
(((rich(paul)&calm(paul)))=>((~old(fred)&~funny(fred))))&
(![X]:((kind(X)<~>brave(X))=>(~funny(X)|calm(X))))&... | humble(lucy) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1321003587645488853272095
% SZS output start Proof for 1321003587645488853272095
7. ! [X0] : ((humble(X0) | ~brave(X0)) <=> ~kind(X0)) [input p6]
23. kind(lucy) [input p22]
25. humble(lucy) [input hypothesis]
51. ! [X0] : (((humble(X0) | ~brave(X0)) | kind(X0)) & (~kind(X0) | (~humble(X0)... | 0 |
If someone is not wise then paul is not quiet.
Everyone who is both calm and not rich is both quiet and not curious and vice versa.
If someone is both old and not creative then someone is not curious.
Everyone who is either not wise or not kind is humble or patient.
If someone is tall then someone is either kind or not... | Alice is not strong. | contradiction | ((?[X]:(~wise(X)))=>(~quiet(paul)))&
(![X]:((calm(X)&~rich(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((old(X)&~creative(X))))=>(?[X]:(~curious(X))))&
(![X]:((~wise(X)<~>~kind(X))=>(humble(X)|patient(X))))&
((?[X]:(tall(X)))<=>(?[X]:((kind(X)<~>~tall(X)))))&
(((~old(paul)|~patient(paul)))<=>(?[X]:((~tall(X)|~calm(X)))))&
(... | ~strong(alice) | [
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1576833876017213562377959
% SZS output start Proof for 1576833876017213562377959
10. ! [X0] : ((generous(X0) | ~creative(X0)) => quiet(X0)) [input p9]
11. ! [X0] : (~generous(X0) <=> (~creative(X0) & ~tall(X0))) [input p10]
21. quiet(alice) <~> ~strong(alice) [input p20]
22. ~strong(alice... | 0 |
Everyone who is not humble or curious is kind or generous.
If someone is both not brave and not humble then someone is both quiet and happy and vice versa.
Everyone who is calm or not rich is either creative or strong and vice versa.
Everyone who is either curious or not old is either not curious or rich and vice versa... | Mary is not rich. | contradiction | (![X]:((~humble(X)|curious(X))=>(kind(X)|generous(X))))&
((?[X]:((~brave(X)&~humble(X))))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((calm(X)|~rich(X))<=>(creative(X)<~>strong(X))))&
(![X]:((curious(X)<~>~old(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((kind(X)|generous(X))=>(quiet(X)&old(X))))&
((~quiet(lucy))=>(~humble(paul... | ~rich(mary) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8702677478624939313304188
% SZS output start Proof for 8702677478624939313304188
1. ! [X0] : ((curious(X0) | ~humble(X0)) => (generous(X0) | kind(X0))) [input p0]
4. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (~curious(X0) <~> rich(X0))) [input p3]
5. ! [X0] : ((generous(X0) | kind(X0)) => ... | 0 |
If alice is not strong or not curious then someone is either not wise or creative and vice versa.
If lucy is not generous then someone is quiet or rich and vice versa.
If mary is both not happy and not generous then alice is either strong or happy and vice versa.
If someone is either happy or not humble then lucy is br... | Alice is not calm. | entailment | (((~strong(alice)|~curious(alice)))<=>(?[X]:((~wise(X)<~>creative(X)))))&
((~generous(lucy))<=>(?[X]:((quiet(X)|rich(X)))))&
(((~happy(mary)&~generous(mary)))<=>((strong(alice)<~>happy(alice))))&
((?[X]:((happy(X)<~>~humble(X))))=>((brave(lucy)|~rich(lucy))))&
(![X]:((~curious(X)&calm(X))<=>(~generous(X)<~>~brave(X))))... | ~calm(alice) | [
"p5",
"p8",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2923381098465931829235096
% SZS output start Proof for 2923381098465931829235096
6. ! [X0] : (kind(X0) <=> ~calm(X0)) [input p5]
9. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (~happy(X0) | ~creative(X0))) [input p8]
11. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p10]
12. ! [X0] ... | 0 |
If lucy is not generous then lucy is old or calm and vice versa.
If someone is old or quiet then lucy is either patient or not creative.
Everyone who is old or patient is old and vice versa.
Everyone who is not curious or wise is happy and vice versa.
Everyone who is not brave or rich is both kind and brave.
Everyone w... | Paul is brave. | entailment | ((~generous(lucy))<=>((old(lucy)|calm(lucy))))&
((?[X]:((old(X)|quiet(X))))=>((patient(lucy)<~>~creative(lucy))))&
(![X]:((old(X)|patient(X))<=>old(X)))&
(![X]:((~curious(X)|wise(X))<=>happy(X)))&
(![X]:((~brave(X)|rich(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)<~>creative(X))=>(calm(X)&~kind(X))))&
(![X]:((~patient(X... | brave(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 437537999962261324371127
% SZS output start Proof for 437537999962261324371127
5. ! [X0] : ((rich(X0) | ~brave(X0)) => (brave(X0) & kind(X0))) [input p4]
23. ~brave(paul) [input hypothesis]
28. ! [X0] : ((brave(X0) & kind(X0)) | (~rich(X0) & brave(X0))) [ennf transformation 5]
81. brave(X... | 0 |
Everyone who is either not rich or not wise is either generous or not generous.
If john is either not old or not strong then alice is either not calm or tall and vice versa.
If someone is either not calm or wise then someone is either rich or kind.
If susan is either old or patient then someone is not curious or not pa... | Susan is calm. | neutral | (![X]:((~rich(X)<~>~wise(X))=>(generous(X)<~>~generous(X))))&
(((~old(john)<~>~strong(john)))<=>((~calm(alice)<~>tall(alice))))&
((?[X]:((~calm(X)<~>wise(X))))=>(?[X]:((rich(X)<~>kind(X)))))&
(((old(susan)<~>patient(susan)))=>(?[X]:((~curious(X)|~patient(X)))))&
((?[X]:((strong(X)&~calm(X))))<=>((rich(mary)|~quiet(mary... | calm(susan) | [] | null | 0 |
Everyone who is not patient is both happy and quiet and vice versa.
Everyone who is funny or not quiet is either creative or not generous and vice versa.
Everyone who is creative is both kind and patient.
If paul is either not calm or wise then someone is creative or wise and vice versa.
If alice is happy or not patien... | Paul is calm. | entailment | (![X]:(~patient(X)<=>(happy(X)&quiet(X))))&
(![X]:((funny(X)|~quiet(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(creative(X)=>(kind(X)&patient(X))))&
(((~calm(paul)<~>wise(paul)))<=>(?[X]:((creative(X)|wise(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:(humble(X))))&
(((~creative(susan)|wise(susan)))=>(?[X]:((brave(... | calm(paul) | [
"p3",
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 644303366088806154762116
% SZS output start Proof for 644303366088806154762116
4. (~calm(paul) <~> wise(paul)) <=> ? [X0] : (wise(X0) | creative(X0)) [input p3]
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p7]
9. ! [X0] : ((kind(X0) & ~brave(X0)) <=> ~strong(X0)) [input ... | 0 |
Everyone who is either old or not tall is not tall or not humble and vice versa.
Everyone who is either not patient or curious is not old or creative and vice versa.
Everyone who is either not generous or not strong is old and vice versa.
If susan is both not funny and strong then someone is either quiet or not old and... | Lucy is not kind. | entailment | (![X]:((old(X)<~>~tall(X))<=>(~tall(X)|~humble(X))))&
(![X]:((~patient(X)<~>curious(X))<=>(~old(X)|creative(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>old(X)))&
(((~funny(susan)&strong(susan)))<=>(?[X]:((quiet(X)<~>~old(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)|~tall(X))))&
((?[X]:((~generous(X)|generous(X))))<=>... | ~kind(lucy) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8246063402789199873897691
% SZS output start Proof for 8246063402789199873897691
7. ! [X0] : (kind(X0) => ~happy(X0)) [input p6]
15. ! [X0] : ((~old(X0) <~> happy(X0)) <=> old(X0)) [input p14]
25. kind(lucy) [input hypothesis]
31. ! [X0] : (~happy(X0) | ~kind(X0)) [ennf transformation 7]
... | 0 |
Everyone who is quiet or calm is both humble and rich and vice versa.
If paul is not generous then alice is calm or not quiet.
Everyone who is funny or curious is not creative or calm.
If someone is curious or patient then fred is either not happy or not generous and vice versa.
Everyone who is happy is not tall or hap... | Fred is not calm. | entailment | (![X]:((quiet(X)|calm(X))<=>(humble(X)&rich(X))))&
((~generous(paul))=>((calm(alice)|~quiet(alice))))&
(![X]:((funny(X)|curious(X))=>(~creative(X)|calm(X))))&
((?[X]:((curious(X)|patient(X))))<=>((~happy(fred)<~>~generous(fred))))&
(![X]:(happy(X)<=>(~tall(X)|happy(X))))&
((?[X]:((strong(X)<~>generous(X))))<=>(~calm(fr... | ~calm(fred) | [
"p0",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3380075091064554881498411
% SZS output start Proof for 3380075091064554881498411
1. ! [X0] : ((calm(X0) | quiet(X0)) <=> (rich(X0) & humble(X0))) [input p0]
7. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (~patient(X0) <~> ~calm(X0))) [input p6]
11. ! [X0] : (~patient(X0) => (~rich(X0) | generous... | 0 |
Everyone who is patient is happy or patient.
Everyone who is not funny or calm is wise and vice versa.
Everyone who is not rich or not generous is not brave and vice versa.
If paul is not humble then someone is either not humble or not rich.
If someone is not kind or rich then someone is either rich or kind and vice ve... | Alice is not kind. | neutral | (![X]:(patient(X)=>(happy(X)|patient(X))))&
(![X]:((~funny(X)|calm(X))<=>wise(X)))&
(![X]:((~rich(X)|~generous(X))<=>~brave(X)))&
((~humble(paul))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~brave(X)&strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((calm(X)&... | ~kind(alice) | [] | null | 0 |
Everyone who is both not tall and not kind is both old and not old and vice versa.
Everyone who is either not kind or old is either not happy or not quiet.
Everyone who is either not brave or old is either tall or not generous and vice versa.
Everyone who is strong is either not generous or not funny.
Everyone who is b... | Paul is kind. | entailment | (![X]:((~tall(X)&~kind(X))<=>(old(X)&~old(X))))&
(![X]:((~kind(X)<~>old(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((~brave(X)<~>old(X))<=>(tall(X)<~>~generous(X))))&
(![X]:(strong(X)=>(~generous(X)<~>~funny(X))))&
(![X]:((~strong(X)&~patient(X))<=>(~happy(X)&rich(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(?[X]:((rich(X)<~>... | kind(paul) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8092427351395208991559219
% SZS output start Proof for 8092427351395208991559219
1. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~old(X0) & old(X0))) [input p0]
15. ! [X0] : ((~kind(X0) <~> ~tall(X0)) => (~tall(X0) & brave(X0))) [input p14]
25. ~kind(paul) [input hypothesis]
35. ! [X0] : ((~tal... | 0 |
Everyone who is not calm or curious is either humble or rich.
Everyone who is not tall is not generous and vice versa.
If john is not wise or not generous then someone is both not rich and not humble.
Everyone who is not old is both strong and funny and vice versa.
Everyone who is not calm or kind is not happy or not w... | Fred is humble. | neutral | (![X]:((~calm(X)|curious(X))=>(humble(X)<~>rich(X))))&
(![X]:(~tall(X)<=>~generous(X)))&
(((~wise(john)|~generous(john)))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:(~old(X)<=>(strong(X)&funny(X))))&
(![X]:((~calm(X)|kind(X))=>(~happy(X)|~wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((wise(X... | humble(fred) | [] | null | 0 |
If someone is funny then paul is creative or not humble.
Everyone who is either kind or not patient is either creative or not rich and vice versa.
Everyone who is quiet is not curious or not happy and vice versa.
Everyone who is either tall or not tall is both patient and not generous and vice versa.
Everyone who is ei... | Paul is humble. | entailment | ((?[X]:(funny(X)))=>((creative(paul)|~humble(paul))))&
(![X]:((kind(X)<~>~patient(X))<=>(creative(X)<~>~rich(X))))&
(![X]:(quiet(X)<=>(~curious(X)|~happy(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(patient(X)&~generous(X))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~humble(X)&~generous(X))))&
(![X]:(~humble(X)<=>(~patient(X)&~wise(... | humble(paul) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1311292781680901556687775
% SZS output start Proof for 1311292781680901556687775
4. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~generous(X0) & patient(X0))) [input p3]
6. ! [X0] : (~humble(X0) <=> (~wise(X0) & ~patient(X0))) [input p5]
23. ~humble(paul) [input hypothesis]
37. ! [X0] : ((((ta... | 0 |
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm.
Everyone who is not funny or brave is both brave and not calm.
If fred is both not ol... | Mary is happy. | entailment | (![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X))=>(brave(X)&~calm(X))))&
(((~old(fred)&tall(fred)))<=>(?[X]:((creat... | happy(mary) | [
"p0",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4783442436031580706210849
% SZS output start Proof for 4783442436031580706210849
1. ! [X0] : (brave(X0) => (strong(X0) | happy(X0))) [input p0]
5. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) & brave(X0))) [input p4]
6. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0))... | 0 |
If someone is either rich or generous then someone is both not brave and not strong and vice versa. If susan is funny or brave then someone is not patient. Everyone who is not strong is both tall and not calm and vice versa. If alice is not happy or tall then someone is not kind or not calm. Everyone who is not rich is... | Alice is happy. | contradiction | ((?[X]:((rich(X)<~>generous(X))))<=>(?[X]:((~brave(X)&~strong(X)))))&
(((funny(susan)|brave(susan)))=>(?[X]:(~patient(X))))&
(![X]:(~strong(X)<=>(tall(X)&~calm(X))))&
(((~happy(alice)|tall(alice)))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:(~rich(X)=>(patient(X)<~>old(X))))&
((calm(lucy))<=>((~strong(john)|strong(john))))&... | happy(alice) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5866552762509070878275871
% SZS output start Proof for 5866552762509070878275871
6. calm(lucy) <=> (strong(john) | ~strong(john)) [input p5]
13. (~kind(lucy) & ~calm(lucy)) <=> ? [X0] : (~rich(X0) | happy(X0)) [input p12]
24. happy(alice) [input hypothesis]
44. (calm(lucy) | (~strong(john... | 0 |
Everyone who is calm or curious is both not kind and calm and vice versa.
If fred is both not wise and wise then someone is either not humble or not calm and vice versa.
Everyone who is happy is either funny or not patient and vice versa.
Everyone who is not calm is both kind and patient.
Everyone who is both wise and ... | Lucy is wise. | neutral | (![X]:((calm(X)|curious(X))<=>(~kind(X)&calm(X))))&
(((~wise(fred)&wise(fred)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>~patient(X))))&
(![X]:(~calm(X)=>(kind(X)&patient(X))))&
(![X]:((wise(X)&~generous(X))<=>tall(X)))&
(![X]:((~funny(X)<~>~patient(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~creat... | wise(lucy) | [] | null | 0 |
If someone is either not curious or rich then lucy is both rich and quiet and vice versa.
Everyone who is both not strong and creative is either not curious or not brave.
Everyone who is not brave or not tall is both not old and rich and vice versa.
Everyone who is both creative and kind is not tall and vice versa.
Eve... | Susan is funny. | entailment | ((?[X]:((~curious(X)<~>rich(X))))<=>((rich(lucy)&quiet(lucy))))&
(![X]:((~strong(X)&creative(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((~brave(X)|~tall(X))<=>(~old(X)&rich(X))))&
(![X]:((creative(X)&kind(X))<=>~tall(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~funny(X)|generous(X))))&
(((~tall(lucy)&~curious(lucy)))=>(?[X]:... | funny(susan) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2918562200286392023293112
% SZS output start Proof for 2918562200286392023293112
10. ! [X0] : (~funny(X0) <=> (quiet(X0) & ~wise(X0))) [input p9]
11. ! [X0] : (~funny(X0) => (wise(X0) & ~strong(X0))) [input p10]
24. ~funny(susan) [input hypothesis]
31. ! [X0] : ((wise(X0) & ~strong(X0)) |... | 0 |
If someone is both kind and old then lucy is both wise and not strong and vice versa. If john is either not calm or not humble then lucy is not generous or not calm. If someone is both kind and not kind then paul is either not quiet or happy and vice versa. Everyone who is either not rich or not happy is not generous. ... | Fred is not calm. | contradiction | ((?[X]:((kind(X)&old(X))))<=>((wise(lucy)&~strong(lucy))))&
(((~calm(john)<~>~humble(john)))=>((~generous(lucy)|~calm(lucy))))&
((?[X]:((kind(X)&~kind(X))))<=>((~quiet(paul)<~>happy(paul))))&
(![X]:((~rich(X)<~>~happy(X))=>~generous(X)))&
(![X]:((strong(X)<~>calm(X))<=>(strong(X)|~wise(X))))&
(((~funny(fred)&happy(fred... | ~calm(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6977377104188032383248929
% SZS output start Proof for 6977377104188032383248929
8. ! [X0] : (rich(X0) <=> (~calm(X0) <~> rich(X0))) [input p7]
22. ~calm(fred) [input hypothesis]
49. ! [X0] : ((rich(X0) | ((~calm(X0) | ~rich(X0)) & (rich(X0) | calm(X0)))) & (((~rich(X0) | calm(X0)) & (ric... | 0 |
Everyone who is not quiet or not strong is rich or funny and vice versa.
If someone is old or happy then paul is wise or brave.
Everyone who is either not old or not tall is generous or old and vice versa.
Everyone who is old is both not curious and quiet.
If someone is either quiet or not happy then someone is wise an... | Fred is not wise. | neutral | (![X]:((~quiet(X)|~strong(X))<=>(rich(X)|funny(X))))&
((?[X]:((old(X)|happy(X))))=>((wise(paul)|brave(paul))))&
(![X]:((~old(X)<~>~tall(X))<=>(generous(X)|old(X))))&
(![X]:(old(X)=>(~curious(X)&quiet(X))))&
((?[X]:((quiet(X)<~>~happy(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~tall(X))=>(~rich(X)<~>tall(X))))&
(![X]... | ~wise(fred) | [] | null | 0 |
Everyone who is either tall or generous is old and vice versa.
If someone is both not creative and brave then alice is both not old and not strong and vice versa.
If lucy is either strong or not funny then fred is kind or patient and vice versa.
If alice is both tall and not calm then someone is both happy and not quie... | Alice is patient. | neutral | (![X]:((tall(X)<~>generous(X))<=>old(X)))&
((?[X]:((~creative(X)&brave(X))))<=>((~old(alice)&~strong(alice))))&
(((strong(lucy)<~>~funny(lucy)))<=>((kind(fred)|patient(fred))))&
(((tall(alice)&~calm(alice)))=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:(~tall(X)=>(wise(X)&tall(X))))&
(![X]:(~generous(X)<=>(~wise(X)|tall(X)))... | patient(alice) | [] | null | 0 |
Everyone who is either not kind or strong is either happy or brave and vice versa. Everyone who is happy or generous is both not humble and curious and vice versa. If susan is either not calm or not wise then susan is both quiet and rich. If paul is either calm or not tall then lucy is brave. If someone is either not w... | Paul is not kind. | entailment | (![X]:((~kind(X)<~>strong(X))<=>(happy(X)<~>brave(X))))&
(![X]:((happy(X)|generous(X))<=>(~humble(X)&curious(X))))&
(((~calm(susan)<~>~wise(susan)))=>((quiet(susan)&rich(susan))))&
(((calm(paul)<~>~tall(paul)))=>(brave(lucy)))&
((?[X]:((~wise(X)<~>~brave(X))))<=>(?[X]:((~generous(X)&curious(X)))))&
((?[X]:((~tall(X)&hu... | ~kind(paul) | [
"p1",
"p6",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4602495362121810759977662
% SZS output start Proof for 4602495362121810759977662
2. ! [X0] : ((generous(X0) | happy(X0)) <=> (curious(X0) & ~humble(X0))) [input p1]
7. ! [X0] : ((calm(X0) & generous(X0)) <=> funny(X0)) [input p6]
8. ! [X0] : ((curious(X0) <~> old(X0)) <=> (brave(X0) & ~ki... | 0 |
If mary is both not curious and not old then someone is both calm and not old and vice versa. Everyone who is quiet or wise is both not rich and not old and vice versa. Everyone who is either humble or not happy is not strong. Everyone who is not rich or not quiet is either not kind or not generous. If lucy is creative... | Susan is not creative. | contradiction | (((~curious(mary)&~old(mary)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((quiet(X)|wise(X))<=>(~rich(X)&~old(X))))&
(![X]:((humble(X)<~>~happy(X))=>~strong(X)))&
(![X]:((~rich(X)|~quiet(X))=>(~kind(X)<~>~generous(X))))&
(((creative(lucy)|kind(lucy)))<=>((~calm(john)&~creative(john))))&
(![X]:(~patient(X)<=>(strong(X)|brave... | ~creative(susan) | [
"p1",
"p3",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8284504835386725020577841
% SZS output start Proof for 8284504835386725020577841
2. ! [X0] : ((wise(X0) | quiet(X0)) <=> (~old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (~kind(X0) <~> ~generous(X0))) [input p3]
16. ! [X0] : ((~creative(X0) & strong(X0)) <=> (ge... | 0 |
Everyone who is patient is calm or not calm and vice versa.
Everyone who is both rich and not brave is not tall or brave and vice versa.
If someone is not wise then john is either not humble or brave and vice versa.
Everyone who is funny or not curious is either not funny or patient and vice versa.
If someone is both n... | Fred is not tall. | neutral | (![X]:(patient(X)<=>(calm(X)|~calm(X))))&
(![X]:((rich(X)&~brave(X))<=>(~tall(X)|brave(X))))&
((?[X]:(~wise(X)))<=>((~humble(john)<~>brave(john))))&
(![X]:((funny(X)|~curious(X))<=>(~funny(X)<~>patient(X))))&
((?[X]:((~quiet(X)&happy(X))))=>(?[X]:((~strong(X)|generous(X)))))&
(![X]:(creative(X)<=>(~curious(X)<~>curious... | ~tall(fred) | [] | null | 0 |
Everyone who is either old or patient is not strong or not creative and vice versa.
Everyone who is kind or not rich is either not curious or curious.
If susan is both calm and not creative then paul is creative.
Everyone who is both not curious and curious is quiet.
If someone is quiet or funny then someone is rich an... | Alice is not generous. | contradiction | (![X]:((old(X)<~>patient(X))<=>(~strong(X)|~creative(X))))&
(![X]:((kind(X)|~rich(X))=>(~curious(X)<~>curious(X))))&
(((calm(susan)&~creative(susan)))=>(creative(paul)))&
(![X]:((~curious(X)&curious(X))=>quiet(X)))&
((?[X]:((quiet(X)|funny(X))))<=>(?[X]:(rich(X))))&
(![X]:((funny(X)<~>tall(X))<=>(rich(X)|brave(X))))&
(... | ~generous(alice) | [
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8794258556997501370236007
% SZS output start Proof for 8794258556997501370236007
13. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p12]
14. (~calm(alice) & old(alice)) <=> ? [X0] : (happy(X0) | quiet(X0)) [input p13]
15. ! [X0] : (kind(X0) => (generous(X0) & quie... | 0 |
Everyone who is both generous and patient is both old and not kind and vice versa.
Everyone who is not funny is either not old or not curious and vice versa.
If someone is creative then fred is either happy or kind and vice versa.
If fred is curious or strong then someone is humble.
If fred is not tall or not kind then... | Fred is old. | contradiction | (![X]:((generous(X)&patient(X))<=>(old(X)&~kind(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>~curious(X))))&
((?[X]:(creative(X)))<=>((happy(fred)<~>kind(fred))))&
(((curious(fred)|strong(fred)))=>(?[X]:(humble(X))))&
(((~tall(fred)|~kind(fred)))<=>(~tall(mary)))&
(![X]:((~generous(X)|~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:(... | old(fred) | [
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2216950061054562269547387
% SZS output start Proof for 2216950061054562269547387
6. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (brave(X0) & quiet(X0))) [input p5]
12. ! [X0] : ((~old(X0) & ~patient(X0)) <=> (~creative(X0) | brave(X0))) [input p11]
16. ! [X0] : ((~happy(X0) | old(X0)) => (~... | 0 |
Everyone who is wise or not old is both not tall and not curious and vice versa.
If someone is both patient and happy then someone is either not happy or not calm.
If lucy is not funny then fred is either not strong or not quiet and vice versa.
Everyone who is calm is brave and vice versa.
If someone is tall or happy t... | Susan is wise. | contradiction | (![X]:((wise(X)|~old(X))<=>(~tall(X)&~curious(X))))&
((?[X]:((patient(X)&happy(X))))=>(?[X]:((~happy(X)<~>~calm(X)))))&
((~funny(lucy))<=>((~strong(fred)<~>~quiet(fred))))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((tall(X)|happy(X))))<=>(?[X]:((tall(X)<~>~funny(X)))))&
(![X]:((kind(X)&~funny(X))<=>~tall(X)))&
(((patient(jo... | wise(susan) | [
"p0",
"p5",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1894681468501396904424077
% SZS output start Proof for 1894681468501396904424077
1. ! [X0] : ((~old(X0) | wise(X0)) <=> (~curious(X0) & ~tall(X0))) [input p0]
6. ! [X0] : ((~funny(X0) & kind(X0)) <=> ~tall(X0)) [input p5]
8. ! [X0] : ((happy(X0) & kind(X0)) <=> (happy(X0) | ~kind(X0))) [i... | 0 |
If lucy is not calm then john is both humble and tall.
If someone is both not brave and happy then alice is both not strong and quiet.
If alice is humble then someone is patient or rich and vice versa.
Everyone who is either not kind or calm is both not tall and not rich and vice versa.
If someone is not tall then some... | John is not generous. | entailment | ((~calm(lucy))=>((humble(john)&tall(john))))&
((?[X]:((~brave(X)&happy(X))))=>((~strong(alice)&quiet(alice))))&
((humble(alice))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~tall(X)&~rich(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
((?[X]:(~generous(X)))=>(?[X]:(~old(X))))&
(![X]:(... | ~generous(john) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 93828512409772725452786
% SZS output start Proof for 93828512409772725452786
7. ! [X0] : ((~tall(X0) & quiet(X0)) <=> ~quiet(X0)) [input p6]
16. ! [X0] : ((~calm(X0) | generous(X0)) <=> (funny(X0) & ~quiet(X0))) [input p15]
22. generous(john) [input hypothesis]
49. ! [X0] : (((~tall(X0) &... | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Paul is not curious. | contradiction | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | ~curious(paul) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6251008488639189198433063
% SZS output start Proof for 6251008488639189198433063
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((~wise(X0) & happy(X0)) <=> (~curious(X0) <~> ~patient(X0))) [input p4]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~stro... | 0 |
Everyone who is generous is not happy or not humble and vice versa.
Everyone who is either not strong or not generous is both happy and rich.
Everyone who is not strong or patient is both not old and not quiet and vice versa.
If someone is either patient or not quiet then someone is either generous or creative and vice... | Mary is patient. | contradiction | (![X]:(generous(X)<=>(~happy(X)|~humble(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(happy(X)&rich(X))))&
(![X]:((~strong(X)|patient(X))<=>(~old(X)&~quiet(X))))&
((?[X]:((patient(X)<~>~quiet(X))))<=>(?[X]:((generous(X)<~>creative(X)))))&
((?[X]:((calm(X)<~>~rich(X))))=>((curious(lucy)|~curious(lucy))))&
(![X]:((creative... | patient(mary) | [
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7130080331166450394911023
% SZS output start Proof for 7130080331166450394911023
7. ! [X0] : ((~humble(X0) | patient(X0)) <=> (funny(X0) & ~curious(X0))) [input p6]
12. ! [X0] : ((~creative(X0) | ~rich(X0)) => (generous(X0) & ~patient(X0))) [input p11]
14. ! [X0] : ((~curious(X0) <~> ~ric... | 0 |
Everyone who is either humble or happy is happy or wise. If someone is not generous or brave then susan is not old or quiet and vice versa. If someone is not rich or patient then alice is both not humble and not patient. If susan is not quiet then someone is not calm and vice versa. Everyone who is either not creative ... | John is not strong. | entailment | (![X]:((humble(X)<~>happy(X))=>(happy(X)|wise(X))))&
((?[X]:((~generous(X)|brave(X))))<=>((~old(susan)|quiet(susan))))&
((?[X]:((~rich(X)|patient(X))))=>((~humble(alice)&~patient(alice))))&
((~quiet(susan))<=>(?[X]:(~calm(X))))&
(![X]:((~creative(X)<~>~funny(X))=>(~happy(X)&brave(X))))&
((?[X]:((~strong(X)|tall(X))))=>... | ~strong(john) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 955302172141143055885925
% SZS output start Proof for 955302172141143055885925
8. ! [X0] : ((humble(X0) & funny(X0)) <=> strong(X0)) [input p7]
10. ! [X0] : ((~creative(X0) | strong(X0)) => ~funny(X0)) [input p9]
21. strong(john) [input hypothesis]
27. ! [X0] : (~funny(X0) | (creative(X0)... | 0 |
Everyone who is not curious or not tall is either strong or not humble.
Everyone who is strong is not quiet or not tall.
Everyone who is either rich or creative is not kind and vice versa.
If john is not creative or not rich then susan is both not funny and tall.
Everyone who is not humble is not generous or kind.
If j... | Alice is rich. | contradiction | (![X]:((~curious(X)|~tall(X))=>(strong(X)<~>~humble(X))))&
(![X]:(strong(X)=>(~quiet(X)|~tall(X))))&
(![X]:((rich(X)<~>creative(X))<=>~kind(X)))&
(((~creative(john)|~rich(john)))=>((~funny(susan)&tall(susan))))&
(![X]:(~humble(X)=>(~generous(X)|kind(X))))&
(((~brave(john)|old(john)))<=>(humble(fred)))&
((?[X]:((~wise(X... | rich(alice) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6455276816440512444255903
% SZS output start Proof for 6455276816440512444255903
3. ! [X0] : ((rich(X0) <~> creative(X0)) <=> ~kind(X0)) [input p2]
5. ! [X0] : (~humble(X0) => (kind(X0) | ~generous(X0))) [input p4]
8. ! [X0] : ((~old(X0) | ~generous(X0)) => (humble(X0) <~> ~patient(X0))) ... | 0 |
Everyone who is not old or generous is patient. Everyone who is both wise and generous is either not quiet or not generous and vice versa. If paul is not old or not curious then fred is not kind or wise. Everyone who is not quiet or not kind is both creative and not old and vice versa. If someone is either not curious ... | Fred is rich. | neutral | (![X]:((~old(X)|generous(X))=>patient(X)))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)|~curious(paul)))=>((~kind(fred)|wise(fred))))&
(![X]:((~quiet(X)|~kind(X))<=>(creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~brave(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((generous(X)&curious(X))... | rich(fred) | [] | null | 0 |
If mary is either kind or old then someone is both rich and not funny.
Everyone who is kind is both quiet and creative and vice versa.
Everyone who is both not old and wise is both calm and kind.
Everyone who is not calm or brave is both not calm and not tall.
Everyone who is calm is not funny and vice versa.
Everyone ... | Fred is creative. | entailment | (((kind(mary)<~>old(mary)))=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:(kind(X)<=>(quiet(X)&creative(X))))&
(![X]:((~old(X)&wise(X))=>(calm(X)&kind(X))))&
(![X]:((~calm(X)|brave(X))=>(~calm(X)&~tall(X))))&
(![X]:(calm(X)<=>~funny(X)))&
(![X]:((tall(X)&quiet(X))<=>(brave(X)|kind(X))))&
(![X]:((wise(X)<~>~funny(X))=>(~calm(X)... | creative(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4354139780362585107914011
% SZS output start Proof for 4354139780362585107914011
8. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (curious(X0) & creative(X0))) [input p7]
25. ~creative(fred) [input hypothesis]
32. ! [X0] : ((curious(X0) & creative(X0)) | (rich(X0) <=> ~rich(X0))) [ennf transforma... | 0 |
Everyone who is not kind is not strong or patient and vice versa.
If paul is kind or not curious then someone is either curious or not rich.
Everyone who is both calm and not funny is either creative or not wise.
If someone is either not brave or not patient then someone is calm or happy.
Everyone who is either not wis... | Fred is not brave. | neutral | (![X]:(~kind(X)<=>(~strong(X)|patient(X))))&
(((kind(paul)|~curious(paul)))=>(?[X]:((curious(X)<~>~rich(X)))))&
(![X]:((calm(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
((?[X]:((~brave(X)<~>~patient(X))))=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~wise(X)<~>~patient(X))=>(humble(X)|patient(X))))&
(![X]:((patient(X)|~strong... | ~brave(fred) | [] | null | 0 |
If alice is either not rich or patient then someone is either not patient or wise and vice versa.
Everyone who is happy or tall is curious or not patient.
Everyone who is not brave or brave is rich.
If alice is either quiet or not generous then someone is not rich and vice versa.
Everyone who is rich is calm or not str... | Susan is wise. | entailment | (((~rich(alice)<~>patient(alice)))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((happy(X)|tall(X))=>(curious(X)|~patient(X))))&
(![X]:((~brave(X)|brave(X))=>rich(X)))&
(((quiet(alice)<~>~generous(alice)))<=>(?[X]:(~rich(X))))&
(![X]:(rich(X)<=>(calm(X)|~strong(X))))&
((~happy(lucy))<=>((calm(mary)<~>~tall(mary))))&
((?[... | wise(susan) | [
"p0",
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2809804268078758766139279
% SZS output start Proof for 2809804268078758766139279
1. (~rich(alice) <~> patient(alice)) <=> ? [X0] : (~patient(X0) <~> wise(X0)) [input p0]
3. ! [X0] : ((brave(X0) | ~brave(X0)) => rich(X0)) [input p2]
7. ? [X0] : (tall(X0) & ~tall(X0)) <=> ? [X0] : (patient(... | 0 |
Everyone who is both wise and not funny is patient and vice versa.
Everyone who is quiet or patient is both not calm and old and vice versa.
If someone is not curious then paul is not curious or rich.
If someone is not tall or not patient then someone is both not calm and not rich and vice versa.
If mary is both not ge... | Susan is curious. | neutral | (![X]:((wise(X)&~funny(X))<=>patient(X)))&
(![X]:((quiet(X)|patient(X))<=>(~calm(X)&old(X))))&
((?[X]:(~curious(X)))=>((~curious(paul)|rich(paul))))&
((?[X]:((~tall(X)|~patient(X))))<=>(?[X]:((~calm(X)&~rich(X)))))&
(((~generous(mary)&calm(mary)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((wise(X)|rich(X))=>(strong(X)<~>... | curious(susan) | [] | null | 0 |
If someone is either strong or generous then paul is wise and vice versa.
Everyone who is tall or old is old and vice versa.
If mary is both not generous and not patient then paul is wise or generous.
Everyone who is funny is either tall or strong and vice versa.
Everyone who is not calm is not patient or happy.
If joh... | Paul is humble. | neutral | ((?[X]:((strong(X)<~>generous(X))))<=>(wise(paul)))&
(![X]:((tall(X)|old(X))<=>old(X)))&
(((~generous(mary)&~patient(mary)))=>((wise(paul)|generous(paul))))&
(![X]:(funny(X)<=>(tall(X)<~>strong(X))))&
(![X]:(~calm(X)=>(~patient(X)|happy(X))))&
(((~calm(john)|quiet(john)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:(patient(X... | humble(paul) | [] | null | 0 |
If john is either strong or not old then mary is happy or not quiet.
If alice is tall then lucy is rich or funny and vice versa.
Everyone who is not humble or curious is not kind and vice versa.
Everyone who is both not humble and funny is not calm or calm and vice versa.
Everyone who is both not generous and brave is ... | Susan is tall. | neutral | (((strong(john)<~>~old(john)))=>((happy(mary)|~quiet(mary))))&
((tall(alice))<=>((rich(lucy)|funny(lucy))))&
(![X]:((~humble(X)|curious(X))<=>~kind(X)))&
(![X]:((~humble(X)&funny(X))<=>(~calm(X)|calm(X))))&
(![X]:((~generous(X)&brave(X))<=>~creative(X)))&
(![X]:((tall(X)|~curious(X))=>(~wise(X)|~happy(X))))&
((?[X]:((~... | tall(susan) | [] | null | 0 |
If lucy is wise then paul is not tall and vice versa.
Everyone who is not kind is old.
If mary is both calm and strong then alice is either not calm or old and vice versa.
Everyone who is not generous or tall is not wise or curious.
If someone is both not kind and wise then someone is wise or not generous and vice vers... | Mary is not humble. | neutral | ((wise(lucy))<=>(~tall(paul)))&
(![X]:(~kind(X)=>old(X)))&
(((calm(mary)&strong(mary)))<=>((~calm(alice)<~>old(alice))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(fred)&~brave(fred)))=>(... | ~humble(mary) | [] | null | 0 |
Everyone who is both not happy and curious is either not old or not patient. If someone is kind or not humble then susan is generous. If someone is not rich then john is wise. Everyone who is both tall and not funny is funny. Everyone who is both not wise and kind is either not rich or not calm and vice versa. Everyone... | Lucy is strong. | entailment | (![X]:((~happy(X)&curious(X))=>(~old(X)<~>~patient(X))))&
((?[X]:((kind(X)|~humble(X))))=>(generous(susan)))&
((?[X]:(~rich(X)))=>(wise(john)))&
(![X]:((tall(X)&~funny(X))=>funny(X)))&
(![X]:((~wise(X)&kind(X))<=>(~rich(X)<~>~calm(X))))&
(![X]:((~kind(X)|~curious(X))<=>(~generous(X)<~>~strong(X))))&
(![X]:(kind(X)=>(~w... | strong(lucy) | [
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5703029762011546420417584
% SZS output start Proof for 5703029762011546420417584
9. ! [X0] : ((~happy(X0) | curious(X0)) => strong(X0)) [input p8]
16. (brave(lucy) | happy(lucy)) <=> rich(lucy) [input p15]
21. ~rich(lucy) <~> curious(lucy) [input p20]
24. ~strong(lucy) [input hypothesis]
... | 0 |
Everyone who is both patient and strong is either humble or creative.
Everyone who is not strong or kind is calm or rich and vice versa.
Everyone who is both not calm and kind is both old and wise and vice versa.
If john is not brave or funny then someone is wise and vice versa.
If susan is not funny then john is eithe... | Alice is quiet. | neutral | (![X]:((patient(X)&strong(X))=>(humble(X)<~>creative(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)|rich(X))))&
(![X]:((~calm(X)&kind(X))<=>(old(X)&wise(X))))&
(((~brave(john)|funny(john)))<=>(?[X]:(wise(X))))&
((~funny(susan))=>((quiet(john)<~>old(john))))&
((~patient(lucy))=>(?[X]:((old(X)|creative(X)))))&
((~strong(m... | quiet(alice) | [] | null | 0 |
Everyone who is both not kind and not happy is both old and quiet.
Everyone who is kind is not wise and vice versa.
If fred is either funny or not brave then lucy is not tall and vice versa.
If mary is either not calm or quiet then john is either not creative or happy and vice versa.
If someone is both not calm and cal... | Lucy is patient. | neutral | (![X]:((~kind(X)&~happy(X))=>(old(X)&quiet(X))))&
(![X]:(kind(X)<=>~wise(X)))&
(((funny(fred)<~>~brave(fred)))<=>(~tall(lucy)))&
(((~calm(mary)<~>quiet(mary)))<=>((~creative(john)<~>happy(john))))&
((?[X]:((~calm(X)&calm(X))))=>(strong(susan)))&
(![X]:((~creative(X)<~>patient(X))<=>kind(X)))&
(![X]:(~rich(X)<=>(~rich(X... | patient(lucy) | [] | null | 0 |
Everyone who is either strong or not strong is both not funny and creative.
Everyone who is strong or wise is happy or patient and vice versa.
If mary is not strong or not generous then fred is not curious or humble and vice versa.
Everyone who is both rich and not quiet is not strong or humble.
Everyone who is not tal... | John is not wise. | entailment | (![X]:((strong(X)<~>~strong(X))=>(~funny(X)&creative(X))))&
(![X]:((strong(X)|wise(X))<=>(happy(X)|patient(X))))&
(((~strong(mary)|~generous(mary)))<=>((~curious(fred)|humble(fred))))&
(![X]:((rich(X)&~quiet(X))=>(~strong(X)|humble(X))))&
(![X]:(~tall(X)<=>~brave(X)))&
(![X]:((~brave(X)&calm(X))=>(~calm(X)<~>humble(X))... | ~wise(john) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4749851387709390585404347
% SZS output start Proof for 4749851387709390585404347
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (creative(X0) & ~funny(X0))) [input p0]
8. ? [X0] : (old(X0) | wise(X0)) <=> (funny(mary) & ~funny(mary)) [input p7]
22. wise(john) [input hypothesis]
26. ! [X0] :... | 0 |
Everyone who is both kind and not creative is not calm. If someone is either not old or not patient then someone is rich. If someone is not quiet or wise then someone is both funny and not kind and vice versa. If john is tall then john is curious. Everyone who is both not kind and patient is either not patient or quiet... | Fred is not old. | entailment | (![X]:((kind(X)&~creative(X))=>~calm(X)))&
((?[X]:((~old(X)<~>~patient(X))))=>(?[X]:(rich(X))))&
((?[X]:((~quiet(X)|wise(X))))<=>(?[X]:((funny(X)&~kind(X)))))&
((tall(john))=>(curious(john)))&
(![X]:((~kind(X)&patient(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((quiet(X)&strong(X))=>generous(X)))&
(![X]:(~calm(X)<=>~kind(X... | ~old(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 506445305972353014557874
% SZS output start Proof for 506445305972353014557874
21. ~old(fred) & ~wise(fred) [input p20]
25. old(fred) [input hypothesis]
129. ~old(fred) [cnf transformation 21]
134. old(fred) [cnf transformation 25]
304. $false [subsumption resolution 134,129]
% SZS output... | 0 |
If john is generous then someone is kind and vice versa.
Everyone who is either not old or old is both curious and not generous.
If someone is not brave or humble then someone is either not creative or not old.
If someone is not brave or not kind then susan is not creative or funny and vice versa.
Everyone who is both ... | Mary is not quiet. | entailment | ((generous(john))<=>(?[X]:(kind(X))))&
(![X]:((~old(X)<~>old(X))=>(curious(X)&~generous(X))))&
((?[X]:((~brave(X)|humble(X))))=>(?[X]:((~creative(X)<~>~old(X)))))&
((?[X]:((~brave(X)|~kind(X))))<=>((~creative(susan)|funny(susan))))&
(![X]:((funny(X)&generous(X))<=>patient(X)))&
(![X]:((calm(X)<~>~tall(X))<=>~curious(X)... | ~quiet(mary) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 414004562645233862053199
% SZS output start Proof for 414004562645233862053199
2. ! [X0] : ((~old(X0) <~> old(X0)) => (~generous(X0) & curious(X0))) [input p1]
15. ! [X0] : ((tall(X0) | quiet(X0)) <=> (~curious(X0) & ~old(X0))) [input p14]
23. quiet(mary) [input hypothesis]
28. ! [X0] : (... | 0 |
If someone is both not strong and happy then lucy is not brave or creative. If someone is humble or not generous then someone is both strong and not wise and vice versa. Everyone who is generous is calm or not old and vice versa. Everyone who is both not wise and not curious is quiet and vice versa. Everyone who is bot... | Lucy is not curious. | entailment | ((?[X]:((~strong(X)&happy(X))))=>((~brave(lucy)|creative(lucy))))&
((?[X]:((humble(X)|~generous(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(generous(X)<=>(calm(X)|~old(X))))&
(![X]:((~wise(X)&~curious(X))<=>quiet(X)))&
(![X]:((rich(X)&happy(X))=>(wise(X)|old(X))))&
(![X]:((~tall(X)<~>~old(X))=>(~wise(X)<~>humble(X))... | ~curious(lucy) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5996919510094219693884686
% SZS output start Proof for 5996919510094219693884686
4. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> quiet(X0)) [input p3]
10. ! [X0] : ((~creative(X0) | calm(X0)) <=> (creative(X0) & ~generous(X0))) [input p9]
13. ! [X0] : (~creative(X0) <=> ~quiet(X0)) [input p12... | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then lucy is either brave or generous and vice versa. Everyone who is both not old and not strong is both calm and tall. Everyone who is either not wise or happy is either quiet... | Alice is rich. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((brave(lucy)<~>generous(lucy))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny... | rich(alice) | [] | null | 0 |
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