premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both patient and not tall then fred is either calm or strong and vice versa.
Everyone who is not calm or old is both tall and not kind and vice versa.
If someone is not rich then susan is either funny or humble.
If someone is either not generous or curious then someone is either not brave or happy.
If joh... | Fred is not quiet. | neutral | ((?[X]:((patient(X)&~tall(X))))<=>((calm(fred)<~>strong(fred))))&
(![X]:((~calm(X)|old(X))<=>(tall(X)&~kind(X))))&
((?[X]:(~rich(X)))=>((funny(susan)<~>humble(susan))))&
((?[X]:((~generous(X)<~>curious(X))))=>(?[X]:((~brave(X)<~>happy(X)))))&
(((funny(john)|~patient(john)))<=>((~wise(susan)&~generous(susan))))&
(![X]:(... | ~quiet(fred) | [] | null | 0 |
If susan is quiet then susan is either not old or humble and vice versa. If someone is patient then susan is either not generous or happy. Everyone who is rich is both not calm and not kind and vice versa. Everyone who is either generous or not humble is both not humble and creative and vice versa. If someone is either... | Paul is tall. | entailment | ((quiet(susan))<=>((~old(susan)<~>humble(susan))))&
((?[X]:(patient(X)))=>((~generous(susan)<~>happy(susan))))&
(![X]:(rich(X)<=>(~calm(X)&~kind(X))))&
(![X]:((generous(X)<~>~humble(X))<=>(~humble(X)&creative(X))))&
((?[X]:((humble(X)<~>patient(X))))<=>(?[X]:((~quiet(X)|kind(X)))))&
(((wise(susan)|patient(susan)))<=>((... | tall(paul) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5839632085091185024419997
% SZS output start Proof for 5839632085091185024419997
9. (~quiet(mary) & ~rich(mary)) <=> ? [X0] : (~strong(X0) | ~tall(X0)) [input p8]
17. rich(mary) [input p16]
24. ~tall(paul) [input hypothesis]
54. ((~quiet(mary) & ~rich(mary)) | ! [X0] : (strong(X0) & tall(... | 0 |
If someone is curious then someone is both not creative and not calm and vice versa.
Everyone who is funny is wise.
If lucy is not creative then susan is either not curious or not funny.
If someone is humble or happy then someone is not tall and vice versa.
Everyone who is not old or strong is either not happy or not c... | Mary is not happy. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:(funny(X)=>wise(X)))&
((~creative(lucy))=>((~curious(susan)<~>~funny(susan))))&
((?[X]:((humble(X)|happy(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~old(X)|strong(X))=>(~happy(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~wise(X))=>(~wise(X)&~curious(X))))&
((?[X]:((funn... | ~happy(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3748602031101741071575900
% SZS output start Proof for 3748602031101741071575900
22. happy(mary) [input p21]
24. ~happy(mary) [input hypothesis]
136. happy(mary) [cnf transformation 22]
138. ~happy(mary) [cnf transformation 24]
313. $false [subsumption resolution 138,136]
% SZS output end... | 0 |
If susan is both happy and old then paul is both funny and rich and vice versa. Everyone who is either kind or not old is either not strong or not kind. Everyone who is creative is curious or not humble. Everyone who is either not wise or not old is tall or curious. Everyone who is both funny and not quiet is either st... | Fred is generous. | entailment | (((happy(susan)&old(susan)))<=>((funny(paul)&rich(paul))))&
(![X]:((kind(X)<~>~old(X))=>(~strong(X)<~>~kind(X))))&
(![X]:(creative(X)=>(curious(X)|~humble(X))))&
(![X]:((~wise(X)<~>~old(X))=>(tall(X)|curious(X))))&
(![X]:((funny(X)&~quiet(X))=>(strong(X)<~>~strong(X))))&
(![X]:((~happy(X)|generous(X))=>(~funny(X)&~wise... | generous(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7732271971500275758262481
% SZS output start Proof for 7732271971500275758262481
19. ~brave(fred) & generous(fred) [input p18]
25. ~generous(fred) [input hypothesis]
27. generous(fred) [pure predicate removal 19]
130. generous(fred) [cnf transformation 27]
136. ~generous(fred) [cnf transf... | 0 |
Everyone who is not tall is both happy and not happy.
Everyone who is both generous and not creative is rich.
Everyone who is either creative or humble is not calm or not old.
Everyone who is curious is either funny or quiet.
Everyone who is patient is humble or happy and vice versa.
If someone is either brave or funny... | John is not generous. | entailment | (![X]:(~tall(X)=>(happy(X)&~happy(X))))&
(![X]:((generous(X)&~creative(X))=>rich(X)))&
(![X]:((creative(X)<~>humble(X))=>(~calm(X)|~old(X))))&
(![X]:(curious(X)=>(funny(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(humble(X)|happy(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:((~brave(X)<~>... | ~generous(john) | [
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3362858527281018044192514
% SZS output start Proof for 3362858527281018044192514
7. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~humble(X0) | ~strong(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | ~creative(X0)) => (~quiet(X0) & brave(X0))) [input p8]
11. ? [X0] : (brave(X0) | ~strong(X0)) <=> ?... | 0 |
Everyone who is both not humble and not calm is both not old and not brave and vice versa. If someone is both happy and kind then someone is either not generous or not patient and vice versa. If someone is old or strong then lucy is not rich or not strong. Everyone who is either patient or kind is quiet or rich and vic... | Lucy is not strong. | neutral | (![X]:((~humble(X)&~calm(X))<=>(~old(X)&~brave(X))))&
((?[X]:((happy(X)&kind(X))))<=>(?[X]:((~generous(X)<~>~patient(X)))))&
((?[X]:((old(X)|strong(X))))=>((~rich(lucy)|~strong(lucy))))&
(![X]:((patient(X)<~>kind(X))<=>(quiet(X)|rich(X))))&
((?[X]:((curious(X)|humble(X))))<=>(?[X]:((humble(X)<~>wise(X)))))&
((?[X]:(str... | ~strong(lucy) | [] | null | 0 |
Everyone who is both creative and generous is rich or kind and vice versa.
Everyone who is both not strong and happy is patient or rich.
If lucy is not curious or not happy then susan is either patient or not kind.
If someone is either not tall or wise then alice is not happy or wise.
If someone is both not tall and cr... | Lucy is not happy. | neutral | (![X]:((creative(X)&generous(X))<=>(rich(X)|kind(X))))&
(![X]:((~strong(X)&happy(X))=>(patient(X)|rich(X))))&
(((~curious(lucy)|~happy(lucy)))=>((patient(susan)<~>~kind(susan))))&
((?[X]:((~tall(X)<~>wise(X))))=>((~happy(alice)|wise(alice))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
(![X]:((~... | ~happy(lucy) | [] | null | 0 |
If lucy is both strong and calm then someone is quiet.
Everyone who is both kind and not wise is both brave and not old and vice versa.
If someone is both humble and brave then mary is either patient or kind and vice versa.
If someone is both rich and not patient then someone is either not kind or tall and vice versa.
... | Lucy is tall. | entailment | (((strong(lucy)&calm(lucy)))=>(?[X]:(quiet(X))))&
(![X]:((kind(X)&~wise(X))<=>(brave(X)&~old(X))))&
((?[X]:((humble(X)&brave(X))))<=>((patient(mary)<~>kind(mary))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~kind(X)<~>tall(X)))))&
(![X]:((rich(X)<~>kind(X))<=>~patient(X)))&
(![X]:((~brave(X)&funny(X))=>(~quiet(X)<~>~p... | tall(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 424660121596502733380402
% SZS output start Proof for 424660121596502733380402
11. ! [X0] : ((~funny(X0) & tall(X0)) <=> (~rich(X0) | rich(X0))) [input p10]
22. ~tall(lucy) [input hypothesis]
60. ! [X0] : (((~funny(X0) & tall(X0)) | (rich(X0) & ~rich(X0))) & ((~rich(X0) | rich(X0)) | (fun... | 0 |
If mary is not strong then someone is wise or quiet.
Everyone who is both not happy and not tall is either tall or happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise t... | Paul is not creative. | entailment | ((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<... | ~creative(paul) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1809324495436794675158253
% SZS output start Proof for 1809324495436794675158253
4. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p3]
5. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p4]
6. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
Everyone who is both not strong and quiet is not patient. Everyone who is either not old or not humble is not generous or not wise and vice versa. Everyone who is creative or not curious is creative. Everyone who is either not tall or calm is brave or happy and vice versa. If paul is not rich or not calm then someone i... | Fred is not calm. | entailment | (![X]:((~strong(X)&quiet(X))=>~patient(X)))&
(![X]:((~old(X)<~>~humble(X))<=>(~generous(X)|~wise(X))))&
(![X]:((creative(X)|~curious(X))=>creative(X)))&
(![X]:((~tall(X)<~>calm(X))<=>(brave(X)|happy(X))))&
(((~rich(paul)|~calm(paul)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:((creative(X)&~calm(X))<=>(old(X)<~>~old(X)))... | ~calm(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 305283067918780128658631
% SZS output start Proof for 305283067918780128658631
6. ! [X0] : ((~calm(X0) & creative(X0)) <=> (old(X0) <~> ~old(X0))) [input p5]
22. calm(fred) [input hypothesis]
39. ! [X0] : (((~calm(X0) & creative(X0)) | ((old(X0) | old(X0)) & (~old(X0) | ~old(X0)))) & (((o... | 0 |
If someone is kind then lucy is either not strong or creative. If someone is either not strong or not brave then john is not wise or not creative and vice versa. If someone is generous or happy then someone is both not strong and curious. Everyone who is curious is not wise and vice versa. Everyone who is not wise is b... | Lucy is quiet. | entailment | ((?[X]:(kind(X)))=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~strong(X)<~>~brave(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:(~wise(X)=>(~quiet(X)&~curious(X))))&
(![X]:((kind(X)|~creative(X))<=>(humble(X)|~calm... | quiet(lucy) | [
"p2",
"p3",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4075952794077956272359280
% SZS output start Proof for 4075952794077956272359280
3. ? [X0] : (happy(X0) | generous(X0)) => ? [X0] : (curious(X0) & ~strong(X0)) [input p2]
4. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : (~wise(X0) => (~curious(X0) & ~quiet(X0))) [input p4]
1... | 0 |
If susan is kind then someone is not kind or not rich and vice versa. If mary is not brave then someone is either not old or brave and vice versa. If someone is either not humble or happy then someone is wise or not brave and vice versa. Everyone who is not humble or rich is not old or strong. If susan is wise then som... | Susan is not kind. | contradiction | ((kind(susan))<=>(?[X]:((~kind(X)|~rich(X)))))&
((~brave(mary))<=>(?[X]:((~old(X)<~>brave(X)))))&
((?[X]:((~humble(X)<~>happy(X))))<=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((~humble(X)|rich(X))=>(~old(X)|strong(X))))&
((wise(susan))=>(?[X]:(~kind(X))))&
((?[X]:((brave(X)<~>~brave(X))))=>((quiet(john)|brave(john))))&
(((... | ~kind(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8406194449337322601765289
% SZS output start Proof for 8406194449337322601765289
1. kind(susan) <=> ? [X0] : (~rich(X0) | ~kind(X0)) [input p0]
25. ~kind(susan) [input hypothesis]
41. (kind(susan) | ! [X0] : (rich(X0) & kind(X0))) & (? [X0] : (~rich(X0) | ~kind(X0)) | ~kind(susan)) [nnf t... | 0 |
If mary is rich then someone is both patient and generous. If someone is not curious then fred is either tall or old and vice versa. Everyone who is either not curious or wise is either not kind or not old. Everyone who is not wise is both not kind and tall and vice versa. If someone is tall or not humble then susan is... | John is not calm. | contradiction | ((rich(mary))=>(?[X]:((patient(X)&generous(X)))))&
((?[X]:(~curious(X)))<=>((tall(fred)<~>old(fred))))&
(![X]:((~curious(X)<~>wise(X))=>(~kind(X)<~>~old(X))))&
(![X]:(~wise(X)<=>(~kind(X)&tall(X))))&
((?[X]:((tall(X)|~humble(X))))=>((~strong(susan)|generous(susan))))&
(((quiet(fred)|calm(fred)))=>((~brave(mary)&~funny(... | ~calm(john) | [
"p7",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3681050581986087963624928
% SZS output start Proof for 3681050581986087963624928
8. ! [X0] : ((~strong(X0) & creative(X0)) <=> (happy(X0) <~> calm(X0))) [input p7]
16. ! [X0] : ((calm(X0) & ~quiet(X0)) <=> (~calm(X0) & ~patient(X0))) [input p15]
17. creative(john) <~> patient(john) [input... | 0 |
If someone is either quiet or not brave then paul is not patient and vice versa.
If someone is both not calm and strong then john is rich and vice versa.
If paul is either patient or strong then paul is calm or generous.
If paul is strong then lucy is both curious and not brave and vice versa.
Everyone who is either ri... | Alice is happy. | neutral | ((?[X]:((quiet(X)<~>~brave(X))))<=>(~patient(paul)))&
((?[X]:((~calm(X)&strong(X))))<=>(rich(john)))&
(((patient(paul)<~>strong(paul)))=>((calm(paul)|generous(paul))))&
((strong(paul))<=>((curious(lucy)&~brave(lucy))))&
(![X]:((rich(X)<~>~happy(X))<=>~wise(X)))&
((?[X]:((~curious(X)<~>patient(X))))<=>(?[X]:((creative(X... | happy(alice) | [] | null | 0 |
If someone is wise or not creative then alice is not wise or calm. If paul is funny or curious then paul is both rich and wise and vice versa. Everyone who is both patient and generous is not strong or happy. Everyone who is both not quiet and tall is curious or quiet. Everyone who is old or curious is strong and vice ... | Fred is not rich. | contradiction | ((?[X]:((wise(X)|~creative(X))))=>((~wise(alice)|calm(alice))))&
(((funny(paul)|curious(paul)))<=>((rich(paul)&wise(paul))))&
(![X]:((patient(X)&generous(X))=>(~strong(X)|happy(X))))&
(![X]:((~quiet(X)&tall(X))=>(curious(X)|quiet(X))))&
(![X]:((old(X)|curious(X))<=>strong(X)))&
(((~humble(paul)|tall(paul)))=>(?[X]:((~p... | ~rich(fred) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8371837098065818079834958
% SZS output start Proof for 8371837098065818079834958
7. ! [X0] : (~calm(X0) <=> (~wise(X0) <~> ~calm(X0))) [input p6]
23. ~wise(fred) <~> rich(fred) [input p22]
25. ~rich(fred) [input hypothesis]
46. ! [X0] : ((~calm(X0) | ((~wise(X0) | calm(X0)) & (~calm(X0) |... | 0 |
Everyone who is tall is either strong or old and vice versa. Everyone who is both rich and old is either strong or humble and vice versa. Everyone who is strong or not creative is either not calm or generous and vice versa. Everyone who is both not generous and old is either not wise or quiet and vice versa. Everyone w... | John is happy. | neutral | (![X]:(tall(X)<=>(strong(X)<~>old(X))))&
(![X]:((rich(X)&old(X))<=>(strong(X)<~>humble(X))))&
(![X]:((strong(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~generous(X)&old(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((funny(X)<~>generous(X))<=>(wise(X)<~>~strong(X))))&
((?[X]:((~old(X)&old(X))))<=>((~generous(lucy)&~... | happy(john) | [] | null | 0 |
Everyone who is happy is both not strong and not happy. Everyone who is both brave and not rich is either wise or patient. Everyone who is both not quiet and strong is patient or not happy and vice versa. Everyone who is both brave and funny is strong. Everyone who is not patient or quiet is happy or patient. If someon... | Fred is not kind. | neutral | (![X]:(happy(X)=>(~strong(X)&~happy(X))))&
(![X]:((brave(X)&~rich(X))=>(wise(X)<~>patient(X))))&
(![X]:((~quiet(X)&strong(X))<=>(patient(X)|~happy(X))))&
(![X]:((brave(X)&funny(X))=>strong(X)))&
(![X]:((~patient(X)|quiet(X))=>(happy(X)|patient(X))))&
((?[X]:((~strong(X)<~>brave(X))))=>((patient(fred)|kind(fred))))&
((?... | ~kind(fred) | [] | null | 0 |
Everyone who is curious is creative and vice versa. If susan is either strong or quiet then mary is both strong and happy. Everyone who is not calm is either old or brave. If someone is not calm or not happy then john is both creative and curious and vice versa. Everyone who is creative or not happy is either not patie... | Paul is happy. | contradiction | (![X]:(curious(X)<=>creative(X)))&
(((strong(susan)<~>quiet(susan)))=>((strong(mary)&happy(mary))))&
(![X]:(~calm(X)=>(old(X)<~>brave(X))))&
((?[X]:((~calm(X)|~happy(X))))<=>((creative(john)&curious(john))))&
(![X]:((creative(X)|~happy(X))<=>(~patient(X)<~>~brave(X))))&
(((~wise(paul)&~kind(paul)))<=>((~quiet(susan)|ha... | happy(paul) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 51420252676711357289222
% SZS output start Proof for 51420252676711357289222
10. ! [X0] : ((~brave(X0) & wise(X0)) <=> (~strong(X0) | happy(X0))) [input p9]
16. ! [X0] : ((creative(X0) | ~creative(X0)) => (~wise(X0) & generous(X0))) [input p15]
22. happy(paul) [input hypothesis]
30. ! [X0... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not calm or kind.
If someone is either funny or generous then someone is both not calm and not patient.
Everyone who is both not cur... | Alice is not tall. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>(~calm(X)|kind(X))))&
((?[X]:((funny(X)<~>generous(X))))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(((funny(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~crea... | ~tall(alice) | [] | null | 0 |
If someone is both not creative and creative then susan is brave.
Everyone who is patient is both not patient and not tall.
Everyone who is wise or not rich is either not creative or kind and vice versa.
If someone is not brave or funny then someone is not creative and vice versa.
Everyone who is generous is both stron... | Lucy is rich. | contradiction | ((?[X]:((~creative(X)&creative(X))))=>(brave(susan)))&
(![X]:(patient(X)=>(~patient(X)&~tall(X))))&
(![X]:((wise(X)|~rich(X))<=>(~creative(X)<~>kind(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:(generous(X)=>(strong(X)&generous(X))))&
(((~funny(alice)|brave(alice)))=>((tall(mary)<~>~calm(mary))... | rich(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p11",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7450850381546790807117515
% SZS output start Proof for 7450850381546790807117515
2. ! [X0] : (patient(X0) => (~tall(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~creative(X0) <~> kind(X0))) [input p2]
5. ! [X0] : (generous(X0) => (generous(X0) & strong(X0))) [i... | 0 |
Everyone who is both kind and not brave is either not old or old.
If someone is creative then someone is not brave or not calm.
Everyone who is not brave or tall is both rich and not wise.
Everyone who is funny or not brave is strong or quiet and vice versa.
If paul is not quiet or not humble then someone is quiet and ... | Susan is not happy. | entailment | (![X]:((kind(X)&~brave(X))=>(~old(X)<~>old(X))))&
((?[X]:(creative(X)))=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~brave(X)|tall(X))=>(rich(X)&~wise(X))))&
(![X]:((funny(X)|~brave(X))<=>(strong(X)|quiet(X))))&
(((~quiet(paul)|~humble(paul)))<=>(?[X]:(quiet(X))))&
(![X]:(brave(X)<=>(~calm(X)|happy(X))))&
((?[X]:((old(X)|... | ~happy(susan) | [
"p3",
"p5",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4295895270648295715975125
% SZS output start Proof for 4295895270648295715975125
4. ! [X0] : ((~brave(X0) | funny(X0)) <=> (quiet(X0) | strong(X0))) [input p3]
6. ! [X0] : (brave(X0) <=> (happy(X0) | ~calm(X0))) [input p5]
8. ! [X0] : (tall(X0) => (tall(X0) <~> funny(X0))) [input p7]
11. ... | 0 |
If lucy is strong or not generous then someone is funny.
If paul is curious then susan is either not happy or funny and vice versa.
Everyone who is either not brave or not kind is quiet.
Everyone who is not patient is both patient and not humble and vice versa.
If john is either quiet or curious then someone is either ... | Alice is not happy. | entailment | (((strong(lucy)|~generous(lucy)))=>(?[X]:(funny(X))))&
((curious(paul))<=>((~happy(susan)<~>funny(susan))))&
(![X]:((~brave(X)<~>~kind(X))=>quiet(X)))&
(![X]:(~patient(X)<=>(patient(X)&~humble(X))))&
(((quiet(john)<~>curious(john)))=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((tall(X)|calm(X))<=>(curious(X)&~generous(X)... | ~happy(alice) | [
"p3",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9047158876292150627764862
% SZS output start Proof for 9047158876292150627764862
4. ! [X0] : (~patient(X0) <=> (~humble(X0) & patient(X0))) [input p3]
7. (~funny(alice) & ~quiet(alice)) <=> ? [X0] : (patient(X0) | ~generous(X0)) [input p6]
14. ? [X0] : (funny(X0) <~> happy(X0)) => ? [X0] ... | 0 |
If lucy is not rich or strong then lucy is patient and vice versa.
Everyone who is not creative is not curious or not old and vice versa.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funny or not happy and vice versa.
If someone is funny ... | Paul is creative. | contradiction | (((~rich(lucy)|strong(lucy)))<=>(patient(lucy)))&
(![X]:(~creative(X)<=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alice)<~>~brave(alice))))&
(![X]:(~old(X)=>kind(X)))&
(![X]:... | creative(paul) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4167443213197346991878547
% SZS output start Proof for 4167443213197346991878547
2. ! [X0] : (~creative(X0) <=> (~old(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p2]
24. creative(paul) [input hypothesis]
27. ! [X0] : ((happy(X0) ... | 0 |
If mary is tall or patient then someone is either not strong or not generous and vice versa. Everyone who is either strong or not tall is rich or brave and vice versa. Everyone who is either tall or not humble is not patient. Everyone who is not patient is curious or not strong. Everyone who is tall or not creative is ... | John is not curious. | neutral | (((tall(mary)|patient(mary)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((strong(X)<~>~tall(X))<=>(rich(X)|brave(X))))&
(![X]:((tall(X)<~>~humble(X))=>~patient(X)))&
(![X]:(~patient(X)=>(curious(X)|~strong(X))))&
(![X]:((tall(X)|~creative(X))<=>(~brave(X)&strong(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((humbl... | ~curious(john) | [] | null | 0 |
Everyone who is not patient is either patient or tall.
Everyone who is either creative or not brave is both wise and not humble and vice versa.
If someone is not quiet then someone is either not strong or generous.
If someone is either not humble or funny then mary is not strong or tall and vice versa.
Everyone who is ... | Alice is rich. | entailment | (![X]:(~patient(X)=>(patient(X)<~>tall(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(wise(X)&~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~f... | rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3599147485033684063212167
% SZS output start Proof for 3599147485033684063212167
2. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~humble(X0) & wise(X0))) [input p1]
4. ? [X0] : (~humble(X0) <~> funny(X0)) <=> (tall(mary) | ~strong(mary)) [input p3]
5. ! [X0] : ((creative(X0) | funny(X0)) ... | 0 |
Everyone who is not wise or creative is either generous or old and vice versa. Everyone who is strong or wise is either not brave or quiet and vice versa. Everyone who is kind or happy is not strong. Everyone who is not strong is both wise and not kind and vice versa. Everyone who is both brave and patient is not curio... | John is funny. | entailment | (![X]:((~wise(X)|creative(X))<=>(generous(X)<~>old(X))))&
(![X]:((strong(X)|wise(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((kind(X)|happy(X))=>~strong(X)))&
(![X]:(~strong(X)<=>(wise(X)&~kind(X))))&
(![X]:((brave(X)&patient(X))<=>~curious(X)))&
((?[X]:((kind(X)&rich(X))))=>((~patient(mary)&happy(mary))))&
(![X]:(funny(X)<... | funny(john) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 527469031641843003585450
% SZS output start Proof for 527469031641843003585450
3. ! [X0] : ((happy(X0) | kind(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : (~strong(X0) <=> (~kind(X0) & wise(X0))) [input p3]
5. ! [X0] : ((patient(X0) & brave(X0)) <=> ~curious(X0)) [input p4]
7. ! [X0] : (fu... | 0 |
Everyone who is not tall is rich or tall and vice versa.
If someone is rich then someone is not calm or rich and vice versa.
Everyone who is creative or not curious is either not kind or wise and vice versa.
If someone is not brave or not quiet then someone is not humble or not strong.
If alice is either kind or not cr... | Fred is not curious. | entailment | (![X]:(~tall(X)<=>(rich(X)|tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((creative(X)|~curious(X))<=>(~kind(X)<~>wise(X))))&
((?[X]:((~brave(X)|~quiet(X))))=>(?[X]:((~humble(X)|~strong(X)))))&
(((kind(alice)<~>~creative(alice)))=>(?[X]:(tall(X))))&
(![X]:(tall(X)=>~quiet(X)))&
(![X]:((~humble(X)&... | ~curious(fred) | [
"p0",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1337139709266921126869830
% SZS output start Proof for 1337139709266921126869830
1. ! [X0] : (~tall(X0) <=> (tall(X0) | rich(X0))) [input p0]
9. ? [X0] : (creative(X0) & ~tall(X0)) <=> (~quiet(mary) & tall(mary)) [input p8]
12. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~tall(X0) <~> ~stron... | 0 |
Everyone who is either wise or not tall is both brave and creative and vice versa.
If someone is curious or not creative then someone is wise and vice versa.
If someone is either not quiet or funny then fred is both rich and not happy.
Everyone who is quiet or old is both calm and not wise and vice versa.
Everyone who ... | Alice is not tall. | neutral | (![X]:((wise(X)<~>~tall(X))<=>(brave(X)&creative(X))))&
((?[X]:((curious(X)|~creative(X))))<=>(?[X]:(wise(X))))&
((?[X]:((~quiet(X)<~>funny(X))))=>((rich(fred)&~happy(fred))))&
(![X]:((quiet(X)|old(X))<=>(calm(X)&~wise(X))))&
(![X]:((~strong(X)<~>~creative(X))=>(old(X)|~generous(X))))&
((?[X]:((humble(X)<~>curious(X)))... | ~tall(alice) | [] | null | 0 |
Everyone who is calm is either strong or not curious and vice versa. Everyone who is either happy or not generous is both patient and humble and vice versa. Everyone who is quiet is both creative and not funny. If lucy is old or not old then someone is both calm and wise. Everyone who is wise is either not funny or not... | Fred is not brave. | entailment | (![X]:(calm(X)<=>(strong(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(patient(X)&humble(X))))&
(![X]:(quiet(X)=>(creative(X)&~funny(X))))&
(((old(lucy)|~old(lucy)))=>(?[X]:((calm(X)&wise(X)))))&
(![X]:(wise(X)<=>(~funny(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>~happy(X))<=>(~strong(X)|~curious(X))))&
(![X]:((... | ~brave(fred) | [
"p2",
"p4",
"p6",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 173850640415560224992892
% SZS output start Proof for 173850640415560224992892
3. ! [X0] : (quiet(X0) => (~funny(X0) & creative(X0))) [input p2]
5. ! [X0] : (wise(X0) <=> (~funny(X0) <~> ~strong(X0))) [input p4]
7. ! [X0] : ((quiet(X0) & generous(X0)) <=> (wise(X0) | brave(X0))) [input p6... | 0 |
Everyone who is not generous or not happy is not tall or kind.
Everyone who is either kind or not quiet is not brave or happy.
Everyone who is either not curious or happy is either humble or not happy.
If someone is tall or curious then alice is either not quiet or calm.
Everyone who is both patient and not happy is ei... | Alice is not quiet. | contradiction | (![X]:((~generous(X)|~happy(X))=>(~tall(X)|kind(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~funny(X)&~strong(X)... | ~quiet(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1040229733413798261777847
% SZS output start Proof for 1040229733413798261777847
1. ! [X0] : ((~happy(X0) | ~generous(X0)) => (kind(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p2]
4. ? [X0] : (curious(X0) | tall(X0)) => (~q... | 0 |
Everyone who is either creative or not generous is both kind and strong and vice versa.
If someone is not rich then paul is either not brave or not wise.
If someone is patient then someone is either not quiet or not generous.
Everyone who is both tall and not curious is not brave or not strong.
If someone is either tal... | Mary is not patient. | entailment | (![X]:((creative(X)<~>~generous(X))<=>(kind(X)&strong(X))))&
((?[X]:(~rich(X)))=>((~brave(paul)<~>~wise(paul))))&
((?[X]:(patient(X)))=>(?[X]:((~quiet(X)<~>~generous(X)))))&
(![X]:((tall(X)&~curious(X))=>(~brave(X)|~strong(X))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((funny(X)<~>w... | ~patient(mary) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 25752720341224496449343
% SZS output start Proof for 25752720341224496449343
9. ! [X0] : (tall(X0) <=> (~patient(X0) & generous(X0))) [input p8]
19. tall(mary) & ~humble(mary) [input p18]
25. patient(mary) [input hypothesis]
54. ! [X0] : ((tall(X0) | (patient(X0) | ~generous(X0))) & ((~pa... | 0 |
Everyone who is rich or patient is both not tall and strong. If fred is not humble then someone is both happy and patient. Everyone who is both not funny and not patient is both not kind and old and vice versa. Everyone who is not humble is both funny and curious. Everyone who is not generous or funny is both not creat... | John is not tall. | entailment | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((~humble(fred))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(!... | ~tall(john) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 620145269362618960546983
% SZS output start Proof for 620145269362618960546983
1. ! [X0] : ((patient(X0) | rich(X0)) => (strong(X0) & ~tall(X0))) [input p0]
5. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p4]
9. ! [X0] : (~quiet(X0) => patient(X0)) [input ... | 0 |
Everyone who is either quiet or old is rich and vice versa. Everyone who is both calm and not brave is not generous or not old. If someone is not humble or happy then someone is either happy or not patient. If john is both not old and tall then paul is old and vice versa. Everyone who is both not old and not generous i... | Susan is humble. | entailment | (![X]:((quiet(X)<~>old(X))<=>rich(X)))&
(![X]:((calm(X)&~brave(X))=>(~generous(X)|~old(X))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((~old(john)&tall(john)))<=>(old(paul)))&
(![X]:((~old(X)&~generous(X))<=>(~calm(X)|calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~humble(X)|strong(X))))&
(... | humble(susan) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7546016209146239561607084
% SZS output start Proof for 7546016209146239561607084
3. ? [X0] : (happy(X0) | ~humble(X0)) => ? [X0] : (happy(X0) <~> ~patient(X0)) [input p2]
8. ! [X0] : (rich(X0) <=> (rich(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~patient(X0... | 0 |
Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice versa. If paul is not brave then alice is brave and vice versa. If mary is creative or no... | Mary is not wise. | contradiction | (![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(((~kind(lucy)&~hum... | ~wise(mary) | [
"p0",
"p1",
"p2",
"p7",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7454288064470970457706143
% SZS output start Proof for 7454288064470970457706143
1. ! [X0] : (humble(X0) <=> (wise(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise... | 0 |
If someone is both tall and funny then someone is both not rich and not calm.
If susan is both patient and kind then john is both not strong and not curious.
If someone is either brave or tall then susan is brave or wise and vice versa.
If someone is happy then someone is not generous or not wise and vice versa.
Everyo... | Paul is humble. | entailment | ((?[X]:((tall(X)&funny(X))))=>(?[X]:((~rich(X)&~calm(X)))))&
(((patient(susan)&kind(susan)))=>((~strong(john)&~curious(john))))&
((?[X]:((brave(X)<~>tall(X))))<=>((brave(susan)|wise(susan))))&
((?[X]:(happy(X)))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:((~humble(X)&tall(X))<=>~rich(X)))&
(![X]:((~kind(X)<~>wise(X))=>... | humble(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1841528182877098432944698
% SZS output start Proof for 1841528182877098432944698
22. ~wise(paul) & humble(paul) [input p21]
25. ~humble(paul) [input hypothesis]
154. humble(paul) [cnf transformation 22]
159. ~humble(paul) [cnf transformation 25]
335. $false [subsumption resolution 159,154... | 0 |
Everyone who is not happy is both not old and generous.
Everyone who is either not curious or patient is either brave or not creative.
Everyone who is both curious and generous is not patient and vice versa.
If lucy is happy or brave then susan is rich.
Everyone who is both patient and not happy is not tall or not quie... | Susan is rich. | neutral | (![X]:(~happy(X)=>(~old(X)&generous(X))))&
(![X]:((~curious(X)<~>patient(X))=>(brave(X)<~>~creative(X))))&
(![X]:((curious(X)&generous(X))<=>~patient(X)))&
(((happy(lucy)|brave(lucy)))=>(rich(susan)))&
(![X]:((patient(X)&~happy(X))=>(~tall(X)|~quiet(X))))&
((?[X]:((humble(X)|generous(X))))=>((tall(susan)&curious(susan)... | rich(susan) | [] | null | 0 |
Everyone who is both not wise and brave is wise or not old and vice versa. Everyone who is humble is either not happy or rich. If paul is both not happy and happy then paul is not brave and vice versa. Everyone who is curious is both not strong and funny and vice versa. If someone is either not quiet or creative then s... | Susan is not humble. | contradiction | (![X]:((~wise(X)&brave(X))<=>(wise(X)|~old(X))))&
(![X]:(humble(X)=>(~happy(X)<~>rich(X))))&
(((~happy(paul)&happy(paul)))<=>(~brave(paul)))&
(![X]:(curious(X)<=>(~strong(X)&funny(X))))&
((?[X]:((~quiet(X)<~>creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((h... | ~humble(susan) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3141364894301031777764402
% SZS output start Proof for 3141364894301031777764402
1. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~old(X0) | wise(X0))) [input p0]
8. ? [X0] : ~humble(X0) <=> (wise(fred) & ~rich(fred)) [input p7]
24. ~humble(susan) [input hypothesis]
39. ! [X0] : (((brave(X0) & ~... | 0 |
Everyone who is both kind and wise is either funny or not calm. Everyone who is not strong is both not happy and calm. If john is happy or not brave then susan is either funny or rich and vice versa. If someone is either funny or patient then someone is not kind or strong and vice versa. Everyone who is both not genero... | Lucy is not humble. | neutral | (![X]:((kind(X)&wise(X))=>(funny(X)<~>~calm(X))))&
(![X]:(~strong(X)=>(~happy(X)&calm(X))))&
(((happy(john)|~brave(john)))<=>((funny(susan)<~>rich(susan))))&
((?[X]:((funny(X)<~>patient(X))))<=>(?[X]:((~kind(X)|strong(X)))))&
(![X]:((~generous(X)&brave(X))=>(~humble(X)|~brave(X))))&
(![X]:((calm(X)|~calm(X))<=>(rich(X)... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not calm and generous is not wise.
If someone is tall or not quiet then someone is either calm or humble and vice versa.
If someone is either creative or not calm then someone is not quiet and vice versa.
If someone is rich or not generous then someone is either not happy or not old and vice versa.... | John is creative. | neutral | (![X]:((~calm(X)&generous(X))=>~wise(X)))&
((?[X]:((tall(X)|~quiet(X))))<=>(?[X]:((calm(X)<~>humble(X)))))&
((?[X]:((creative(X)<~>~calm(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((rich(X)|~generous(X))))<=>(?[X]:((~happy(X)<~>~old(X)))))&
(![X]:((~old(X)|patient(X))<=>(calm(X)|~creative(X))))&
((?[X]:(humble(X)))=>(?[X]:((~... | creative(john) | [] | null | 0 |
If paul is not patient then someone is both wise and not calm and vice versa.
Everyone who is not brave is either brave or happy and vice versa.
Everyone who is not creative or not quiet is both not humble and not funny.
Everyone who is either creative or kind is both not calm and old and vice versa.
Everyone who is ca... | Alice is not curious. | contradiction | ((~patient(paul))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:(~brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:((~creative(X)|~quiet(X))=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)<~>kind(X))<=>(~calm(X)&old(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:((old(X)<~>~calm(X))<=>(rich(X)&old(X))))&
(![X]:(~curious(X)=>(happy(X)<~>cal... | ~curious(alice) | [
"p0",
"p1",
"p5",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4842710900016462341693731
% SZS output start Proof for 4842710900016462341693731
1. ~patient(paul) <=> ? [X0] : (~calm(X0) & wise(X0)) [input p0]
2. ! [X0] : (~brave(X0) <=> (brave(X0) <~> happy(X0))) [input p1]
6. ! [X0] : ((old(X0) <~> ~calm(X0)) <=> (old(X0) & rich(X0))) [input p5]
7. ... | 0 |
Everyone who is calm is strong or not brave and vice versa. Everyone who is not brave or happy is not kind or not curious and vice versa. Everyone who is not generous or rich is both not strong and not calm. If someone is both wise and not old then fred is curious or not brave and vice versa. Everyone who is both happy... | Fred is not happy. | neutral | (![X]:(calm(X)<=>(strong(X)|~brave(X))))&
(![X]:((~brave(X)|happy(X))<=>(~kind(X)|~curious(X))))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)&~calm(X))))&
((?[X]:((wise(X)&~old(X))))<=>((curious(fred)|~brave(fred))))&
(![X]:((happy(X)&~old(X))=>(patient(X)|~old(X))))&
(((wise(alice)&funny(alice)))=>(?[X]:((creative(X)|r... | ~happy(fred) | [] | null | 0 |
If alice is not curious or not brave then someone is either calm or brave.
Everyone who is strong is quiet or funny and vice versa.
Everyone who is not rich is either calm or not strong.
Everyone who is both humble and calm is either not wise or quiet and vice versa.
Everyone who is wise is strong or creative and vice ... | Lucy is not old. | entailment | (((~curious(alice)|~brave(alice)))=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:(strong(X)<=>(quiet(X)|funny(X))))&
(![X]:(~rich(X)=>(calm(X)<~>~strong(X))))&
(![X]:((humble(X)&calm(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(strong(X)|creative(X))))&
(![X]:((~generous(X)|kind(X))=>happy(X)))&
(![X]:((creative(X)|~stron... | ~old(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p13",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8281861382349391705759230
% SZS output start Proof for 8281861382349391705759230
2. ! [X0] : (strong(X0) <=> (funny(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((calm(X0) & humble(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (creative(X0) | strong(X0))) [input p4]... | 0 |
If someone is both tall and strong then alice is both not patient and not rich. Everyone who is both generous and not generous is either creative or not happy. If paul is both not tall and not old then someone is either not curious or not calm. Everyone who is calm is strong. Everyone who is not patient or not tall is ... | Mary is rich. | neutral | ((?[X]:((tall(X)&strong(X))))=>((~patient(alice)&~rich(alice))))&
(![X]:((generous(X)&~generous(X))=>(creative(X)<~>~happy(X))))&
(((~tall(paul)&~old(paul)))=>(?[X]:((~curious(X)<~>~calm(X)))))&
(![X]:(calm(X)=>strong(X)))&
(![X]:((~patient(X)|~tall(X))<=>(~generous(X)&wise(X))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[... | rich(mary) | [] | null | 0 |
If mary is not tall then mary is patient or rich.
Everyone who is either not curious or not happy is wise and vice versa.
If alice is funny then susan is not funny.
If someone is not creative or patient then someone is not kind or not funny and vice versa.
Everyone who is both not wise and not calm is not quiet or not ... | Paul is humble. | contradiction | ((~tall(mary))=>((patient(mary)|rich(mary))))&
(![X]:((~curious(X)<~>~happy(X))<=>wise(X)))&
((funny(alice))=>(~funny(susan)))&
((?[X]:((~creative(X)|patient(X))))<=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:((~wise(X)&~calm(X))=>(~quiet(X)|~wise(X))))&
(![X]:((~kind(X)&quiet(X))=>(tall(X)&~curious(X))))&
(![X]:(tall(X)<=>... | humble(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7177330935956488972123851
% SZS output start Proof for 7177330935956488972123851
10. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (~strong(X0) & ~humble(X0))) [input p9]
25. humble(paul) [input hypothesis]
38. ! [X0] : ((~strong(X0) & ~humble(X0)) | (strong(X0) <=> ~strong(X0))) [ennf transf... | 0 |
Everyone who is either not humble or brave is both funny and not rich. Everyone who is either happy or creative is both rich and not calm. Everyone who is both quiet and curious is happy or tall and vice versa. If john is wise then john is patient. If someone is both brave and not curious then someone is either not str... | Alice is not humble. | contradiction | (![X]:((~humble(X)<~>brave(X))=>(funny(X)&~rich(X))))&
(![X]:((happy(X)<~>creative(X))=>(rich(X)&~calm(X))))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((funny(X)|~patient(X))<=>(~brave(X)&creative(... | ~humble(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6114859196984791162247216
% SZS output start Proof for 6114859196984791162247216
7. ! [X0] : ((old(X0) & humble(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p6]
24. ~humble(alice) [input hypothesis]
47. ! [X0] : (((old(X0) & humble(X0)) | ((happy(X0) | happy(X0)) & (~happy(X0) | ~happy(X0)... | 0 |
Everyone who is both curious and not quiet is not happy.
Everyone who is either wise or humble is both not rich and tall and vice versa.
Everyone who is either humble or not strong is both not tall and happy.
If someone is not tall then paul is not brave.
Everyone who is not rich is either not tall or strong and vice v... | John is not generous. | neutral | (![X]:((curious(X)&~quiet(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)<~>~strong(X))=>(~tall(X)&happy(X))))&
((?[X]:(~tall(X)))=>(~brave(paul)))&
(![X]:(~rich(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)<~>~old(X))))=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(tall(X)=>(~tal... | ~generous(john) | [] | null | 0 |
Everyone who is both patient and not happy is not tall and vice versa. Everyone who is not kind or not strong is happy or not creative and vice versa. Everyone who is humble is old. Everyone who is calm or tall is either not strong or rich and vice versa. Everyone who is strong or tall is creative or not calm. Everyone... | Lucy is not kind. | entailment | (![X]:((patient(X)&~happy(X))<=>~tall(X)))&
(![X]:((~kind(X)|~strong(X))<=>(happy(X)|~creative(X))))&
(![X]:(humble(X)=>old(X)))&
(![X]:((calm(X)|tall(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((strong(X)|tall(X))=>(creative(X)|~calm(X))))&
(![X]:((tall(X)&~quiet(X))<=>(~curious(X)&calm(X))))&
(((~tall(paul)&calm(paul)))<=... | ~kind(lucy) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 761568346436370072677207
% SZS output start Proof for 761568346436370072677207
2. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (~creative(X0) | happy(X0))) [input p1]
7. (calm(paul) & ~tall(paul)) <=> (creative(lucy) | ~strong(lucy)) [input p6]
8. ! [X0] : ((~tall(X0) & calm(X0)) => ~calm(X0))... | 0 |
If someone is not calm then paul is quiet or not brave.
Everyone who is both not humble and curious is both humble and not calm.
Everyone who is not wise is either not happy or patient.
If someone is generous then susan is both not calm and old.
Everyone who is either old or strong is generous and vice versa.
Everyone ... | Paul is quiet. | contradiction | ((?[X]:(~calm(X)))=>((quiet(paul)|~brave(paul))))&
(![X]:((~humble(X)&curious(X))=>(humble(X)&~calm(X))))&
(![X]:(~wise(X)=>(~happy(X)<~>patient(X))))&
((?[X]:(generous(X)))=>((~calm(susan)&old(susan))))&
(![X]:((old(X)<~>strong(X))<=>generous(X)))&
(![X]:((~wise(X)<~>~quiet(X))=>(kind(X)|wise(X))))&
(![X]:(humble(X)<=... | quiet(paul) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3082932976162634372555065
% SZS output start Proof for 3082932976162634372555065
4. ? [X0] : generous(X0) => (old(susan) & ~calm(susan)) [input p3]
5. ! [X0] : ((old(X0) <~> strong(X0)) <=> generous(X0)) [input p4]
7. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p6]
8. ! [X0] : ((humble(X0)... | 0 |
If someone is both generous and not calm then mary is either happy or not funny and vice versa.
Everyone who is either happy or not humble is both rich and not strong.
If someone is generous or not curious then someone is either old or generous.
Everyone who is funny is either not old or strong.
If fred is either not o... | Alice is not kind. | entailment | ((?[X]:((generous(X)&~calm(X))))<=>((happy(mary)<~>~funny(mary))))&
(![X]:((happy(X)<~>~humble(X))=>(rich(X)&~strong(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(funny(X)=>(~old(X)<~>strong(X))))&
(((~old(fred)<~>~creative(fred)))<=>((~old(lucy)&patient(lucy))))&
(![X]:((old(X)&~... | ~kind(alice) | [
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4362311985515599147606435
% SZS output start Proof for 4362311985515599147606435
9. ! [X0] : ((humble(X0) | curious(X0)) => (calm(X0) & ~humble(X0))) [input p8]
11. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (kind(X0) & ~humble(X0))) [input p10]
14. ! [X0] : (brave(X0) <=> humble(X0)) [inpu... | 0 |
If alice is both not humble and happy then someone is not old or tall.
Everyone who is tall is brave.
Everyone who is either wise or kind is both strong and calm.
Everyone who is old or funny is both curious and not strong and vice versa.
Everyone who is not calm is either not old or creative.
If someone is both creati... | Paul is quiet. | contradiction | (((~humble(alice)&happy(alice)))=>(?[X]:((~old(X)|tall(X)))))&
(![X]:(tall(X)=>brave(X)))&
(![X]:((wise(X)<~>kind(X))=>(strong(X)&calm(X))))&
(![X]:((old(X)|funny(X))<=>(curious(X)&~strong(X))))&
(![X]:(~calm(X)=>(~old(X)<~>creative(X))))&
((?[X]:((creative(X)&tall(X))))=>(?[X]:(calm(X))))&
(![X]:((~humble(X)|~funny(X)... | quiet(paul) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8893375699880502452968382
% SZS output start Proof for 8893375699880502452968382
4. ! [X0] : ((funny(X0) | old(X0)) <=> (~strong(X0) & curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) => (~old(X0) <~> creative(X0))) [input p4]
8. ? [X0] : (funny(X0) <~> calm(X0)) => ~quiet(paul) [input p7]... | 0 |
If someone is either tall or strong then paul is both curious and brave.
Everyone who is both not wise and happy is not kind.
If someone is wise then someone is old or strong and vice versa.
If mary is not tall then someone is both not calm and tall and vice versa.
Everyone who is both not curious and happy is humble.
... | Paul is not brave. | entailment | ((?[X]:((tall(X)<~>strong(X))))=>((curious(paul)&brave(paul))))&
(![X]:((~wise(X)&happy(X))=>~kind(X)))&
((?[X]:(wise(X)))<=>(?[X]:((old(X)|strong(X)))))&
((~tall(mary))<=>(?[X]:((~calm(X)&tall(X)))))&
(![X]:((~curious(X)&happy(X))=>humble(X)))&
(![X]:((wise(X)<~>quiet(X))=>(~brave(X)&~wise(X))))&
((~generous(paul))=>(... | ~brave(paul) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5904461769616445864818613
% SZS output start Proof for 5904461769616445864818613
6. ! [X0] : ((wise(X0) <~> quiet(X0)) => (~wise(X0) & ~brave(X0))) [input p5]
9. ! [X0] : ((~kind(X0) | brave(X0)) <=> (wise(X0) <~> quiet(X0))) [input p8]
23. brave(paul) [input hypothesis]
35. ! [X0] : ((~w... | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | Paul is not wise. | entailment | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | ~wise(paul) | [
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1616790610223179314421906
% SZS output start Proof for 1616790610223179314421906
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : (old(X0) | ~brave(X0)) [input p9]
11. ? [X0] : ~strong(X0) => (~brave(alice) & ... | 0 |
If alice is both not brave and not curious then someone is patient and vice versa.
Everyone who is not curious or not quiet is both patient and not old and vice versa.
If fred is both curious and generous then someone is generous or wise.
Everyone who is either wise or strong is tall and vice versa.
Everyone who is cal... | Alice is kind. | entailment | (((~brave(alice)&~curious(alice)))<=>(?[X]:(patient(X))))&
(![X]:((~curious(X)|~quiet(X))<=>(patient(X)&~old(X))))&
(((curious(fred)&generous(fred)))=>(?[X]:((generous(X)|wise(X)))))&
(![X]:((wise(X)<~>strong(X))<=>tall(X)))&
(![X]:((calm(X)|~brave(X))<=>(generous(X)|kind(X))))&
(((happy(john)|kind(john)))<=>((~curious... | kind(alice) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p12",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3364901431540678381906598
% SZS output start Proof for 3364901431540678381906598
1. (~curious(alice) & ~brave(alice)) <=> ? [X0] : patient(X0) [input p0]
4. ! [X0] : ((wise(X0) <~> strong(X0)) <=> tall(X0)) [input p3]
5. ! [X0] : ((~brave(X0) | calm(X0)) <=> (kind(X0) | generous(X0))) [in... | 0 |
Everyone who is both not old and kind is both not rich and not wise and vice versa.
Everyone who is tall is kind and vice versa.
If mary is not curious or calm then mary is either not calm or not patient.
Everyone who is both old and quiet is not strong.
Everyone who is not tall or not kind is quiet and vice versa.
Eve... | Fred is quiet. | neutral | (![X]:((~old(X)&kind(X))<=>(~rich(X)&~wise(X))))&
(![X]:(tall(X)<=>kind(X)))&
(((~curious(mary)|calm(mary)))=>((~calm(mary)<~>~patient(mary))))&
(![X]:((old(X)&quiet(X))=>~strong(X)))&
(![X]:((~tall(X)|~kind(X))<=>quiet(X)))&
(![X]:((~old(X)|~rich(X))=>curious(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((tall(paul)<~>~funny... | quiet(fred) | [] | null | 0 |
Everyone who is both calm and not patient is either not humble or not creative and vice versa.
If someone is rich then john is not wise.
If someone is not creative then mary is quiet and vice versa.
Everyone who is both not wise and not calm is not old or patient and vice versa.
Everyone who is both rich and not brave ... | Paul is not patient. | entailment | (![X]:((calm(X)&~patient(X))<=>(~humble(X)<~>~creative(X))))&
((?[X]:(rich(X)))=>(~wise(john)))&
((?[X]:(~creative(X)))<=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patient(X)))&
((?[X]:(~old(X)))<=>(~kind(paul)))&
(![X]:((humble(X)|~generous(X))=>(~kind(X)<~>~funn... | ~patient(paul) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 597131849055840193186004
% SZS output start Proof for 597131849055840193186004
4. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (patient(X0) | ~old(X0))) [input p3]
8. ! [X0] : (quiet(X0) <=> (~wise(X0) | happy(X0))) [input p7]
9. ! [X0] : ((~kind(X0) | patient(X0)) => (~quiet(X0) | wise(X0))) [i... | 0 |
If paul is humble then someone is kind or generous. If alice is either tall or curious then alice is curious or humble and vice versa. If someone is either not generous or humble then someone is patient. If paul is either not creative or old then lucy is either brave or not humble and vice versa. If lucy is either crea... | Susan is old. | contradiction | ((humble(paul))=>(?[X]:((kind(X)|generous(X)))))&
(((tall(alice)<~>curious(alice)))<=>((curious(alice)|humble(alice))))&
((?[X]:((~generous(X)<~>humble(X))))=>(?[X]:(patient(X))))&
(((~creative(paul)<~>old(paul)))<=>((brave(lucy)<~>~humble(lucy))))&
(((creative(lucy)<~>~strong(lucy)))<=>(kind(mary)))&
(![X]:((~calm(X)<... | old(susan) | [
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4854203505979200060573145
% SZS output start Proof for 4854203505979200060573145
7. ~creative(susan) <=> ? [X0] : (~creative(X0) | old(X0)) [input p6]
11. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p10]
14. ! [X0] : (strong(X0) <=> (~quiet(X0) & creative(X0))) [in... | 0 |
If someone is both not strong and not creative then someone is both not humble and brave and vice versa.
If someone is either generous or not creative then john is not happy and vice versa.
Everyone who is generous is either not creative or old and vice versa.
If someone is not kind or not tall then someone is not rich... | John is funny. | neutral | ((?[X]:((~strong(X)&~creative(X))))<=>(?[X]:((~humble(X)&brave(X)))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(~happy(john)))&
(![X]:(generous(X)<=>(~creative(X)<~>old(X))))&
((?[X]:((~kind(X)|~tall(X))))=>(?[X]:((~rich(X)|old(X)))))&
(((~generous(alice)&kind(alice)))<=>((~brave(alice)&humble(alice))))&
(![X]:(old(X)... | funny(john) | [] | null | 0 |
Everyone who is either curious or not calm is not old or humble and vice versa.
Everyone who is funny or not patient is either not calm or calm.
If susan is both not old and quiet then susan is either not old or not quiet.
Everyone who is brave or not funny is not calm and vice versa.
If someone is either not strong or... | Paul is not wise. | contradiction | (![X]:((curious(X)<~>~calm(X))<=>(~old(X)|humble(X))))&
(![X]:((funny(X)|~patient(X))=>(~calm(X)<~>calm(X))))&
(((~old(susan)&quiet(susan)))=>((~old(susan)<~>~quiet(susan))))&
(![X]:((brave(X)|~funny(X))<=>~calm(X)))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((~strong(john)&happy(john))))&
(![X]:(~tall(X)=>(~kind(X)|wise(X... | ~wise(paul) | [
"p3",
"p5",
"p6",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7408914752703951731971780
% SZS output start Proof for 7408914752703951731971780
4. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~calm(X0)) [input p3]
6. ! [X0] : (~tall(X0) => (wise(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((calm(X0) <~> ~creative(X0)) => (humble(X0) | ~tall(X0))) [input p6]
8... | 0 |
Everyone who is not curious is both not brave and not wise.
Everyone who is either not old or wise is happy and vice versa.
If lucy is quiet or patient then mary is not generous and vice versa.
If john is quiet or not rich then someone is either old or happy and vice versa.
Everyone who is wise is either not humble or ... | Fred is wise. | neutral | (![X]:(~curious(X)=>(~brave(X)&~wise(X))))&
(![X]:((~old(X)<~>wise(X))<=>happy(X)))&
(((quiet(lucy)|patient(lucy)))<=>(~generous(mary)))&
(((quiet(john)|~rich(john)))<=>(?[X]:((old(X)<~>happy(X)))))&
(![X]:(wise(X)=>(~humble(X)<~>calm(X))))&
(![X]:((humble(X)|~funny(X))=>tall(X)))&
(![X]:((strong(X)|~generous(X))=>(old... | wise(fred) | [] | null | 0 |
If lucy is wise or curious then someone is both happy and not creative. Everyone who is either not old or happy is humble and vice versa. Everyone who is both not patient and not humble is strong or not quiet and vice versa. If someone is old or wise then someone is brave or not brave and vice versa. Everyone who is wi... | Paul is humble. | entailment | (((wise(lucy)|curious(lucy)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~old(X)<~>happy(X))<=>humble(X)))&
(![X]:((~patient(X)&~humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:((wise(X)|tall(X))<=>(happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~stron... | humble(paul) | [
"p1",
"p4",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3749658818226790061642320
% SZS output start Proof for 3749658818226790061642320
2. ! [X0] : ((~old(X0) <~> happy(X0)) <=> humble(X0)) [input p1]
5. ! [X0] : ((tall(X0) | wise(X0)) <=> (~brave(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (strong(X0) | ~strong(... | 0 |
Everyone who is either tall or not rich is either patient or rich and vice versa.
Everyone who is rich is brave.
If someone is either tall or not generous then susan is both not rich and not funny and vice versa.
Everyone who is tall or kind is both rich and not calm and vice versa.
Everyone who is humble or patient is... | Susan is not quiet. | neutral | (![X]:((tall(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:(rich(X)=>brave(X)))&
((?[X]:((tall(X)<~>~generous(X))))<=>((~rich(susan)&~funny(susan))))&
(![X]:((tall(X)|kind(X))<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|patient(X))<=>funny(X)))&
(![X]:((~generous(X)|~happy(X))=>(~rich(X)|~funny(X))))&
(((quiet(alice)|... | ~quiet(susan) | [] | null | 0 |
Everyone who is patient is patient or not generous and vice versa.
Everyone who is not humble is either rich or not rich and vice versa.
Everyone who is humble is both humble and not curious and vice versa.
If someone is not tall then paul is tall or not generous and vice versa.
Everyone who is both not calm and funny ... | Mary is not generous. | neutral | (![X]:(patient(X)<=>(patient(X)|~generous(X))))&
(![X]:(~humble(X)<=>(rich(X)<~>~rich(X))))&
(![X]:(humble(X)<=>(humble(X)&~curious(X))))&
((?[X]:(~tall(X)))<=>((tall(paul)|~generous(paul))))&
(![X]:((~calm(X)&funny(X))<=>(~old(X)|rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>rich(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>(?[... | ~generous(mary) | [] | null | 0 |
If susan is both old and not wise then paul is either wise or brave. If mary is both rich and not funny then someone is either not funny or generous and vice versa. Everyone who is either not old or kind is both not rich and not humble. If someone is not patient or not rich then someone is both funny and not wise. Ever... | Mary is humble. | contradiction | (((old(susan)&~wise(susan)))=>((wise(paul)<~>brave(paul))))&
(((rich(mary)&~funny(mary)))<=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((~old(X)<~>kind(X))=>(~rich(X)&~humble(X))))&
((?[X]:((~patient(X)|~rich(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:(patient(X)=>(brave(X)<~>kind(X))))&
(![X]:((~kind(X)<~>happy(X))<=... | humble(mary) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3682684976790356751176095
% SZS output start Proof for 3682684976790356751176095
7. ! [X0] : (~quiet(X0) => quiet(X0)) [input p6]
8. ? [X0] : (~happy(X0) | humble(X0)) => ? [X0] : (calm(X0) & tall(X0)) [input p7]
15. ! [X0] : (quiet(X0) <=> (~curious(X0) & ~calm(X0))) [input p14]
18. humb... | 0 |
If john is calm then someone is both strong and wise. If someone is brave or kind then someone is funny or generous. Everyone who is not patient is both wise and strong and vice versa. Everyone who is both not kind and happy is humble or not humble and vice versa. If susan is both wise and not creative then susan is br... | John is kind. | contradiction | ((calm(john))=>(?[X]:((strong(X)&wise(X)))))&
((?[X]:((brave(X)|kind(X))))=>(?[X]:((funny(X)|generous(X)))))&
(![X]:(~patient(X)<=>(wise(X)&strong(X))))&
(![X]:((~kind(X)&happy(X))<=>(humble(X)|~humble(X))))&
(((wise(susan)&~creative(susan)))<=>((brave(susan)|wise(susan))))&
((?[X]:(~old(X)))<=>((~kind(alice)&~calm(ali... | kind(john) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2555651074517643136535459
% SZS output start Proof for 2555651074517643136535459
4. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p3]
8. ! [X0] : ((~happy(X0) & generous(X0)) <=> (~patient(X0) | kind(X0))) [input p7]
23. kind(john) [input hypothesis]
42. ! [X0] ... | 0 |
Everyone who is not kind or not calm is quiet and vice versa.
Everyone who is not humble or not funny is creative or kind and vice versa.
If john is tall then fred is not wise or not humble.
If someone is either not patient or not brave then someone is strong.
Everyone who is either wise or not wise is curious or stron... | John is not creative. | entailment | (![X]:((~kind(X)|~calm(X))<=>quiet(X)))&
(![X]:((~humble(X)|~funny(X))<=>(creative(X)|kind(X))))&
((tall(john))=>((~wise(fred)|~humble(fred))))&
((?[X]:((~patient(X)<~>~brave(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(... | ~creative(john) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 227302204175270081715435
% SZS output start Proof for 227302204175270081715435
1. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> quiet(X0)) [input p0]
7. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (brave(X0) & creative(X0))) [input p6]
8. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0)))... | 0 |
Everyone who is old or not calm is not humble.
Everyone who is brave is both tall and not happy.
Everyone who is either not patient or calm is not generous or not rich.
Everyone who is both quiet and not old is not patient and vice versa.
If mary is both calm and not tall then someone is not rich.
Everyone who is eithe... | Paul is wise. | contradiction | (![X]:((old(X)|~calm(X))=>~humble(X)))&
(![X]:(brave(X)=>(tall(X)&~happy(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)&~old(X))<=>~patient(X)))&
(((calm(mary)&~tall(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(strong(X)<~>~generous(X))))&
(![X]:((~strong(X)|~c... | wise(paul) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6035118047116281672404162
% SZS output start Proof for 6035118047116281672404162
1. ! [X0] : ((~calm(X0) | old(X0)) => ~humble(X0)) [input p0]
4. ! [X0] : ((~old(X0) & quiet(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : ((~generous(X0) <~> creative(X0)) <=> (strong(X0) <~> ~generous(X0)))... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is humble and vice versa. Everyone who is not kind or rich is kind or not humble. Everyone who is either not curious or funny is curious or not funny. Everyone who is either brave or creative is rich or not creative. If someo... | Lucy is not calm. | neutral | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>humble(X)))&
(![X]:((~kind(X)|rich(X))=>(kind(X)|~humble(X))))&
(![X]:((~curious(X)<~>funny(X))=>(curious(X)|~funny(X))))&
(![X]:((brave(X)<~>creative(X))=>(rich(X)|~creative(X))))&
((?[X]:((kind(X)&strong(X))))<=>((creative(fred)&rich(fred... | ~calm(lucy) | [] | null | 0 |
If susan is happy then john is either tall or not tall and vice versa.
If john is either generous or not kind then john is not strong or humble and vice versa.
Everyone who is tall is not curious or patient.
Everyone who is either quiet or not creative is not kind or happy and vice versa.
Everyone who is not rich or pa... | Paul is kind. | entailment | ((happy(susan))<=>((tall(john)<~>~tall(john))))&
(((generous(john)<~>~kind(john)))<=>((~strong(john)|humble(john))))&
(![X]:(tall(X)=>(~curious(X)|patient(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>(~kind(X)|happy(X))))&
(![X]:((~rich(X)|patient(X))=>(~strong(X)&happy(X))))&
(![X]:((calm(X)&kind(X))<=>(~wise(X)|calm(X))... | kind(paul) | [
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6041655011129676048126777
% SZS output start Proof for 6041655011129676048126777
6. ! [X0] : ((kind(X0) & calm(X0)) <=> (calm(X0) | ~wise(X0))) [input p5]
9. ! [X0] : ((wise(X0) | calm(X0)) <=> (~tall(X0) & strong(X0))) [input p8]
10. ! [X0] : (~wise(X0) <=> (~humble(X0) | ~old(X0))) [inp... | 0 |
Everyone who is either generous or not strong is both old and not curious and vice versa. Everyone who is both not rich and curious is strong or not curious. If mary is both not tall and not curious then someone is both funny and creative. If john is either quiet or brave then lucy is rich or happy and vice versa. Ever... | John is not quiet. | entailment | (![X]:((generous(X)<~>~strong(X))<=>(old(X)&~curious(X))))&
(![X]:((~rich(X)&curious(X))=>(strong(X)|~curious(X))))&
(((~tall(mary)&~curious(mary)))=>(?[X]:((funny(X)&creative(X)))))&
(((quiet(john)<~>brave(john)))<=>((rich(lucy)|happy(lucy))))&
(![X]:(~kind(X)<=>(~quiet(X)|~happy(X))))&
((humble(fred))=>(?[X]:((~old(X... | ~quiet(john) | [
"p3",
"p7",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1997881470254092319941698
% SZS output start Proof for 1997881470254092319941698
4. (quiet(john) <~> brave(john)) <=> (happy(lucy) | rich(lucy)) [input p3]
8. ! [X0] : (generous(X0) => (~calm(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((generous(X0) <~> ~rich(X0)) => (strong(X0) & rich(... | 0 |
If someone is either humble or not quiet then mary is not curious or not creative and vice versa.
Everyone who is both not generous and not happy is either not strong or not generous and vice versa.
Everyone who is either not old or not generous is not kind.
Everyone who is not brave or not rich is rich or not strong a... | Susan is not patient. | contradiction | ((?[X]:((humble(X)<~>~quiet(X))))<=>((~curious(mary)|~creative(mary))))&
(![X]:((~generous(X)&~happy(X))<=>(~strong(X)<~>~generous(X))))&
(![X]:((~old(X)<~>~generous(X))=>~kind(X)))&
(![X]:((~brave(X)|~rich(X))<=>(rich(X)|~strong(X))))&
(![X]:((~rich(X)<~>~kind(X))=>(curious(X)|old(X))))&
(![X]:(~wise(X)=>(tall(X)|stro... | ~patient(susan) | [
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1045364688852240045844097
% SZS output start Proof for 1045364688852240045844097
8. ! [X0] : (~patient(X0) => (calm(X0) & ~strong(X0))) [input p7]
15. ! [X0] : ((~curious(X0) | ~patient(X0)) => (~strong(X0) & ~rich(X0))) [input p14]
16. ! [X0] : ((generous(X0) | ~rich(X0)) => (~calm(X0) |... | 0 |
Everyone who is both kind and not brave is not quiet and vice versa.
Everyone who is either not funny or not curious is not funny or rich.
Everyone who is both not tall and not old is strong and vice versa.
If someone is humble then someone is humble or happy and vice versa.
Everyone who is not curious is either calm o... | Lucy is not quiet. | neutral | (![X]:((kind(X)&~brave(X))<=>~quiet(X)))&
(![X]:((~funny(X)<~>~curious(X))=>(~funny(X)|rich(X))))&
(![X]:((~tall(X)&~old(X))<=>strong(X)))&
((?[X]:(humble(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:(~curious(X)<=>(calm(X)<~>~calm(X))))&
(((~quiet(paul)<~>quiet(paul)))=>((~rich(paul)&humble(paul))))&
(![X]:(funny(X)<=... | ~quiet(lucy) | [] | null | 0 |
If mary is kind then lucy is both generous and quiet and vice versa.
Everyone who is either not wise or old is not calm or not curious and vice versa.
If someone is funny or not wise then lucy is either quiet or not old and vice versa.
Everyone who is not creative is not curious or generous and vice versa.
If alice is ... | Alice is not generous. | neutral | ((kind(mary))<=>((generous(lucy)&quiet(lucy))))&
(![X]:((~wise(X)<~>old(X))<=>(~calm(X)|~curious(X))))&
((?[X]:((funny(X)|~wise(X))))<=>((quiet(lucy)<~>~old(lucy))))&
(![X]:(~creative(X)<=>(~curious(X)|generous(X))))&
((~kind(alice))=>(?[X]:((generous(X)|kind(X)))))&
(![X]:((kind(X)&calm(X))<=>curious(X)))&
((?[X]:((pa... | ~generous(alice) | [] | null | 0 |
Everyone who is humble or not funny is not brave or curious. If someone is quiet then fred is not rich and vice versa. If someone is not happy then someone is rich or funny. Everyone who is patient or not brave is both curious and not wise and vice versa. Everyone who is either not funny or rich is rich or not patient.... | Lucy is humble. | neutral | (![X]:((humble(X)|~funny(X))=>(~brave(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(~rich(fred)))&
((?[X]:(~happy(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)|~brave(X))<=>(curious(X)&~wise(X))))&
(![X]:((~funny(X)<~>rich(X))=>(rich(X)|~patient(X))))&
(![X]:((~happy(X)&~tall(X))<=>(kind(X)|~patient(X))))&
(![X]:((~... | humble(lucy) | [] | null | 0 |
Everyone who is either not creative or not tall is both kind and not generous.
Everyone who is not calm is humble or wise.
If someone is either not tall or brave then someone is either not strong or funny and vice versa.
Everyone who is either not happy or curious is either not generous or funny.
Everyone who is either... | Alice is not curious. | neutral | (![X]:((~creative(X)<~>~tall(X))=>(kind(X)&~generous(X))))&
(![X]:(~calm(X)=>(humble(X)|wise(X))))&
((?[X]:((~tall(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>funny(X)))))&
(![X]:((~happy(X)<~>curious(X))=>(~generous(X)<~>funny(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(wise(X)|~old(X))))&
(![X]:((~tall(X)<~>rich(X))<=>pat... | ~curious(alice) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If fred is not happy or not rich then someone is quiet and vice versa.
Everyone who is both not humble and calm is kind or calm.
If someone is calm or not curious then someone is wise and vice versa.
Everyone who is both not humble and n... | Fred is generous. | neutral | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((~happy(fred)|~rich(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&calm(X))=>(kind(X)|calm(X))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~funny(X))=>(tall(X)&~funny(X))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((brave(X)|hum... | generous(fred) | [] | null | 0 |
Everyone who is not funny is either not funny or generous. Everyone who is not old is either brave or not kind and vice versa. If someone is either not tall or brave then paul is not calm or not tall and vice versa. Everyone who is both humble and happy is old and vice versa. If someone is tall then someone is wise or ... | Fred is not kind. | contradiction | (![X]:(~funny(X)=>(~funny(X)<~>generous(X))))&
(![X]:(~old(X)<=>(brave(X)<~>~kind(X))))&
((?[X]:((~tall(X)<~>brave(X))))<=>((~calm(paul)|~tall(paul))))&
(![X]:((humble(X)&happy(X))<=>old(X)))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)|~old(X)))))&
((?[X]:((~curious(X)|old(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curi... | ~kind(fred) | [
"p1",
"p3",
"p6",
"p10",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1069641440681037072729134
% SZS output start Proof for 1069641440681037072729134
2. ! [X0] : (~old(X0) <=> (brave(X0) <~> ~kind(X0))) [input p1]
4. ! [X0] : ((happy(X0) & humble(X0)) <=> old(X0)) [input p3]
7. ! [X0] : ((kind(X0) & curious(X0)) <=> ~generous(X0)) [input p6]
11. ? [X0] : (... | 0 |
Everyone who is strong is both humble and funny. Everyone who is not patient or old is both not happy and wise. If susan is either old or curious then someone is not rich or brave and vice versa. Everyone who is rich is not tall or not brave and vice versa. Everyone who is not old is quiet and vice versa. Everyone who ... | Paul is not quiet. | contradiction | (![X]:(strong(X)=>(humble(X)&funny(X))))&
(![X]:((~patient(X)|old(X))=>(~happy(X)&wise(X))))&
(((old(susan)<~>curious(susan)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:(rich(X)<=>(~tall(X)|~brave(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(![X]:((~rich(X)|~kind(X))<=>(~kind(X)<~>~strong(X))))&
(((humble(paul)<~>brave(paul)))=>(... | ~quiet(paul) | [
"p0",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 478616082090680377283160
% SZS output start Proof for 478616082090680377283160
1. ! [X0] : (strong(X0) => (funny(X0) & humble(X0))) [input p0]
5. ! [X0] : (~old(X0) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | ~rich(X0)) <=> (~kind(X0) <~> ~strong(X0))) [input p5]
8. ! [X0] : ((old... | 0 |
If someone is both not curious and calm then alice is rich. If someone is not old then someone is kind or calm. Everyone who is either brave or not humble is calm. Everyone who is generous is either funny or not old and vice versa. If alice is both happy and curious then alice is calm. Everyone who is not curious is ei... | Lucy is not strong. | neutral | ((?[X]:((~curious(X)&calm(X))))=>(rich(alice)))&
((?[X]:(~old(X)))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((brave(X)<~>~humble(X))=>calm(X)))&
(![X]:(generous(X)<=>(funny(X)<~>~old(X))))&
(((happy(alice)&curious(alice)))=>(calm(alice)))&
(![X]:(~curious(X)=>(curious(X)<~>patient(X))))&
((?[X]:((~tall(X)|~old(X))))=>((~bra... | ~strong(lucy) | [] | null | 0 |
If someone is creative then someone is not tall or not generous and vice versa. Everyone who is generous is both funny and rich. Everyone who is either humble or old is both generous and funny. Everyone who is humble is calm and vice versa. Everyone who is humble is generous and vice versa. If someone is either happy o... | Susan is not quiet. | neutral | ((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creati... | ~quiet(susan) | [] | null | 0 |
Everyone who is not curious is not happy and vice versa.
Everyone who is quiet or not tall is not brave or not creative.
Everyone who is either old or strong is both not curious and not old and vice versa.
If lucy is either rich or not humble then someone is either not funny or generous and vice versa.
Everyone who is ... | Lucy is not kind. | entailment | (![X]:(~curious(X)<=>~happy(X)))&
(![X]:((quiet(X)|~tall(X))=>(~brave(X)|~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>(~curious(X)&~old(X))))&
(((rich(lucy)<~>~humble(lucy)))<=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((~generous(X)|happy(X))<=>(~kind(X)&wise(X))))&
(![X]:((~funny(X)<~>~strong(X))=>(creative(X)<~>c... | ~kind(lucy) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4644841424095771589469684
% SZS output start Proof for 4644841424095771589469684
3. ! [X0] : ((old(X0) <~> strong(X0)) <=> (~old(X0) & ~curious(X0))) [input p2]
5. ! [X0] : ((happy(X0) | ~generous(X0)) <=> (wise(X0) & ~kind(X0))) [input p4]
6. ! [X0] : ((~funny(X0) <~> ~strong(X0)) => (cr... | 0 |
Everyone who is not wise is both not wise and not humble and vice versa.
Everyone who is either not rich or not quiet is either wise or brave.
Everyone who is either not calm or not strong is curious or old and vice versa.
Everyone who is humble is either funny or humble and vice versa.
If alice is either brave or not ... | Lucy is not curious. | contradiction | (![X]:(~wise(X)<=>(~wise(X)&~humble(X))))&
(![X]:((~rich(X)<~>~quiet(X))=>(wise(X)<~>brave(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(curious(X)|old(X))))&
(![X]:(humble(X)<=>(funny(X)<~>humble(X))))&
(((brave(alice)<~>~generous(alice)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~wise(X))<=>(patient(X)<~>~old(X))))&
(![X]:(... | ~curious(lucy) | [
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7563287369142047503280808
% SZS output start Proof for 7563287369142047503280808
4. ! [X0] : (humble(X0) <=> (funny(X0) <~> humble(X0))) [input p3]
8. (curious(lucy) | strong(lucy)) <=> ? [X0] : ~strong(X0) [input p7]
12. ! [X0] : ((kind(X0) & funny(X0)) <=> (strong(X0) | ~creative(X0))) ... | 0 |
Everyone who is either not old or not quiet is either not kind or patient.
Everyone who is calm or generous is not brave or curious and vice versa.
Everyone who is creative is both not happy and not patient and vice versa.
Everyone who is brave or kind is both happy and tall.
If john is either not calm or happy then so... | John is tall. | neutral | (![X]:((~old(X)<~>~quiet(X))=>(~kind(X)<~>patient(X))))&
(![X]:((calm(X)|generous(X))<=>(~brave(X)|curious(X))))&
(![X]:(creative(X)<=>(~happy(X)&~patient(X))))&
(![X]:((brave(X)|kind(X))=>(happy(X)&tall(X))))&
(((~calm(john)<~>happy(john)))<=>(?[X]:(~calm(X))))&
((tall(alice))=>(?[X]:((~calm(X)&funny(X)))))&
((?[X]:((... | tall(john) | [] | null | 0 |
Everyone who is both creative and curious is not funny or not tall and vice versa. If john is either not quiet or calm then someone is creative and vice versa. Everyone who is both not calm and not kind is not wise or generous and vice versa. If someone is not kind or not strong then paul is generous. Everyone who is e... | John is quiet. | contradiction | (![X]:((creative(X)&curious(X))<=>(~funny(X)|~tall(X))))&
(((~quiet(john)<~>calm(john)))<=>(?[X]:(creative(X))))&
(![X]:((~calm(X)&~kind(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~kind(X)|~strong(X))))=>(generous(paul)))&
(![X]:((~old(X)<~>old(X))<=>generous(X)))&
(![X]:((calm(X)|~strong(X))<=>creative(X)))&
(((~kind(al... | quiet(john) | [
"p0",
"p1",
"p2",
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3297812662956241979601323
% SZS output start Proof for 3297812662956241979601323
1. ! [X0] : ((curious(X0) & creative(X0)) <=> (~tall(X0) | ~funny(X0))) [input p0]
2. (~quiet(john) <~> calm(john)) <=> ? [X0] : creative(X0) [input p1]
3. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (generous(X0) ... | 0 |
Everyone who is both not wise and tall is strong and vice versa.
If lucy is either rich or calm then alice is not creative or rich and vice versa.
Everyone who is both not wise and not tall is either tall or happy and vice versa.
Everyone who is either not kind or not funny is wise.
If john is not happy then someone is... | Susan is not kind. | neutral | (![X]:((~wise(X)&tall(X))<=>strong(X)))&
(((rich(lucy)<~>calm(lucy)))<=>((~creative(alice)|rich(alice))))&
(![X]:((~wise(X)&~tall(X))<=>(tall(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~funny(X))=>wise(X)))&
((~happy(john))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curious(X)&~brave(X))=>(~wise(X)&~generous(X))))&
((?[X]:((h... | ~kind(susan) | [] | null | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa. If someone is both funny and tall then mary is both humble and curious and vice versa. If someone is not brave or quiet then someone is not wise or rich. If lucy is either not creative or curious then lucy is happy or tall. If p... | Lucy is not curious. | contradiction | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))<=>((humble(mary)&curious(mary))))&
((?[X]:((~brave(X)|quiet(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~creative(lucy)<~>curious(lucy)))=>((happy(lucy)|tall(lucy))))&
(((~curious(paul)&~wise(paul)))<=>((~kind(susan)|~creative(susan))))&
(... | ~curious(lucy) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6832451492306517915957533
% SZS output start Proof for 6832451492306517915957533
7. ! [X0] : ((~rich(X0) | ~curious(X0)) => (brave(X0) & humble(X0))) [input p6]
15. ! [X0] : ((~humble(X0) <~> humble(X0)) => ~humble(X0)) [input p14]
25. ~curious(lucy) [input hypothesis]
31. ! [X0] : ((brav... | 0 |
Everyone who is both not curious and not kind is both creative and brave and vice versa.
Everyone who is humble is not happy.
Everyone who is humble is both old and happy and vice versa.
Everyone who is wise is both not funny and quiet.
Everyone who is curious is funny or not brave and vice versa.
Everyone who is calm ... | Susan is not funny. | entailment | (![X]:((~curious(X)&~kind(X))<=>(creative(X)&brave(X))))&
(![X]:(humble(X)=>~happy(X)))&
(![X]:(humble(X)<=>(old(X)&happy(X))))&
(![X]:(wise(X)=>(~funny(X)&quiet(X))))&
(![X]:(curious(X)<=>(funny(X)|~brave(X))))&
(![X]:(calm(X)=>(calm(X)|~curious(X))))&
(((~tall(lucy)<~>~happy(lucy)))=>(?[X]:((wise(X)<~>~curious(X)))))... | ~funny(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 576656281372429811524155
% SZS output start Proof for 576656281372429811524155
5. ! [X0] : (curious(X0) <=> (~brave(X0) | funny(X0))) [input p4]
10. ! [X0] : (creative(X0) <=> (creative(X0) <~> curious(X0))) [input p9]
25. funny(susan) [input hypothesis]
44. ! [X0] : ((curious(X0) | (brav... | 0 |
Everyone who is not old is both not strong and patient. Everyone who is old or rich is either not kind or funny and vice versa. Everyone who is happy or curious is both brave and quiet. If someone is kind or not old then someone is either not rich or calm. Everyone who is both not humble and happy is not rich and vice ... | Fred is not humble. | contradiction | (![X]:(~old(X)=>(~strong(X)&patient(X))))&
(![X]:((old(X)|rich(X))<=>(~kind(X)<~>funny(X))))&
(![X]:((happy(X)|curious(X))=>(brave(X)&quiet(X))))&
((?[X]:((kind(X)|~old(X))))=>(?[X]:((~rich(X)<~>calm(X)))))&
(![X]:((~humble(X)&happy(X))<=>~rich(X)))&
(![X]:((~tall(X)&~curious(X))<=>(old(X)|~generous(X))))&
((?[X]:(~hap... | ~humble(fred) | [
"p0",
"p4",
"p5",
"p9",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1259752671978564810228456
% SZS output start Proof for 1259752671978564810228456
1. ! [X0] : (~old(X0) => (patient(X0) & ~strong(X0))) [input p0]
5. ! [X0] : ((happy(X0) & ~humble(X0)) <=> ~rich(X0)) [input p4]
6. ! [X0] : ((~curious(X0) & ~tall(X0)) <=> (~generous(X0) | old(X0))) [input ... | 0 |
If susan is quiet or not old then someone is either not wise or humble and vice versa.
Everyone who is strong is generous or not brave.
Everyone who is funny or brave is not strong.
Everyone who is not wise is not strong or happy.
If someone is either not kind or brave then someone is not strong or not old and vice ver... | Fred is patient. | contradiction | (((quiet(susan)|~old(susan)))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(strong(X)=>(generous(X)|~brave(X))))&
(![X]:((funny(X)|brave(X))=>~strong(X)))&
(![X]:(~wise(X)=>(~strong(X)|happy(X))))&
((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
(![X]:((rich(X)&tall(X))=>(old(X)|strong(X))))&
(![X]:((ric... | patient(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5764073396546690016770155
% SZS output start Proof for 5764073396546690016770155
14. ! [X0] : (wise(X0) <=> (~patient(X0) | ~wise(X0))) [input p13]
24. patient(fred) [input hypothesis]
61. ! [X0] : ((wise(X0) | (patient(X0) & wise(X0))) & ((~patient(X0) | ~wise(X0)) | ~wise(X0))) [nnf tra... | 0 |
If john is both not happy and not curious then lucy is either not tall or old.
Everyone who is both calm and brave is both old and tall.
Everyone who is both not curious and old is not wise.
Everyone who is both wise and not calm is both humble and happy.
Everyone who is not humble or wise is generous or strong.
If som... | Alice is generous. | neutral | (((~happy(john)&~curious(john)))=>((~tall(lucy)<~>old(lucy))))&
(![X]:((calm(X)&brave(X))=>(old(X)&tall(X))))&
(![X]:((~curious(X)&old(X))=>~wise(X)))&
(![X]:((wise(X)&~calm(X))=>(humble(X)&happy(X))))&
(![X]:((~humble(X)|wise(X))=>(generous(X)|strong(X))))&
((?[X]:(~kind(X)))=>((generous(alice)<~>happy(alice))))&
(![X... | generous(alice) | [] | null | 0 |
Everyone who is both humble and not tall is humble.
Everyone who is curious is not quiet and vice versa.
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vic... | Fred is not curious. | contradiction | (![X]:((humble(X)&~tall(X))=>humble(X)))&
(![X]:(curious(X)<=>~quiet(X)))&
((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(... | ~curious(fred) | [
"p1",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8432887569331944014564983
% SZS output start Proof for 8432887569331944014564983
2. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p1]
7. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p6]
9. ? [X0] : ~generous(X0) <=> (~generous(mary) & ~happy(mary)) [input p8]
10. ! [X0] : ((~... | 0 |
If lucy is kind then susan is not patient or calm.
If lucy is rich then someone is both not humble and not old.
Everyone who is not strong or not kind is not humble and vice versa.
If susan is both brave and not rich then someone is wise or tall and vice versa.
Everyone who is either not humble or calm is either not fu... | John is wise. | contradiction | ((kind(lucy))=>((~patient(susan)|calm(susan))))&
((rich(lucy))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:((~strong(X)|~kind(X))<=>~humble(X)))&
(((brave(susan)&~rich(susan)))<=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)<~>calm(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((humble(X)&kind(X))<=>~kind(X)))&
((?[X]:((brave(X)&... | wise(john) | [
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1511362716713777776203392
% SZS output start Proof for 1511362716713777776203392
4. (~rich(susan) & brave(susan)) <=> ? [X0] : (tall(X0) | wise(X0)) [input p3]
6. ! [X0] : ((kind(X0) & humble(X0)) <=> ~kind(X0)) [input p5]
10. (patient(susan) | brave(susan)) => (kind(mary) & humble(mary))... | 0 |
Everyone who is either creative or not kind is both not creative and not humble. If mary is quiet then someone is quiet or not tall. Everyone who is either not happy or not kind is calm or not patient. Everyone who is either not funny or creative is not creative and vice versa. Everyone who is either not rich or not ha... | Fred is wise. | contradiction | (![X]:((creative(X)<~>~kind(X))=>(~creative(X)&~humble(X))))&
((quiet(mary))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~happy(X)<~>~kind(X))=>(calm(X)|~patient(X))))&
(![X]:((~funny(X)<~>creative(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>~happy(X))=>rich(X)))&
(![X]:((~strong(X)|rich(X))<=>(calm(X)&quiet(X))))&
((?[X]:((~... | wise(fred) | [
"p5",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9131814817544104248907179
% SZS output start Proof for 9131814817544104248907179
6. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (quiet(X0) & calm(X0))) [input p5]
9. ! [X0] : (creative(X0) <=> (~creative(X0) | ~generous(X0))) [input p8]
12. ! [X0] : (~wise(X0) <=> (rich(X0) <~> strong(X0))) [i... | 0 |
If alice is generous then someone is both not kind and not patient.
If someone is quiet then mary is either not funny or quiet.
Everyone who is either not old or not rich is both not quiet and calm and vice versa.
If someone is either not wise or not brave then someone is not wise.
If alice is tall or not rich then som... | Mary is patient. | entailment | ((generous(alice))=>(?[X]:((~kind(X)&~patient(X)))))&
((?[X]:(quiet(X)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)<~>~rich(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((~wise(X)<~>~brave(X))))=>(?[X]:(~wise(X))))&
(((tall(alice)|~rich(alice)))<=>(?[X]:((calm(X)&~happy(X)))))&
(![X]:((~brave(X)&~kind(X))=>(~strong(X)|qu... | patient(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6131022644957235627525738
% SZS output start Proof for 6131022644957235627525738
15. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p14]
25. ~patient(mary) [input hypothesis]
73. ! [X0] : (((patient(X0) & ~funny(X0)) | ((wise(X0) | wise(X0)) & (~wise(X0) | ~wise... | 0 |
If fred is rich then someone is both kind and not humble.
If someone is generous or strong then alice is not quiet and vice versa.
Everyone who is either not strong or not rich is either happy or not funny and vice versa.
If someone is both wise and happy then susan is both not curious and not brave.
Everyone who is ei... | John is wise. | contradiction | ((rich(fred))=>(?[X]:((kind(X)&~humble(X)))))&
((?[X]:((generous(X)|strong(X))))<=>(~quiet(alice)))&
(![X]:((~strong(X)<~>~rich(X))<=>(happy(X)<~>~funny(X))))&
((?[X]:((wise(X)&happy(X))))=>((~curious(susan)&~brave(susan))))&
(![X]:((happy(X)<~>kind(X))<=>~tall(X)))&
((brave(fred))=>((~generous(alice)|~brave(alice))))&... | wise(john) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 276889494319269743313441
% SZS output start Proof for 276889494319269743313441
7. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p6]
11. ! [X0] : (wise(X0) <=> (wise(X0) & ~brave(X0))) [input p10]
24. wise(john) [input hypothesis]
47. ! [X0] : ((~strong(X0) | ((strong(X0) | ... | 0 |
If susan is not creative or brave then someone is either brave or not rich.
Everyone who is funny is calm or tall and vice versa.
Everyone who is both wise and tall is not brave and vice versa.
Everyone who is either kind or not wise is kind and vice versa.
If alice is patient or not creative then paul is both happy an... | Paul is kind. | neutral | (((~creative(susan)|brave(susan)))=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(funny(X)<=>(calm(X)|tall(X))))&
(![X]:((wise(X)&tall(X))<=>~brave(X)))&
(![X]:((kind(X)<~>~wise(X))<=>kind(X)))&
(((patient(alice)|~creative(alice)))<=>((happy(paul)&calm(paul))))&
(![X]:((~happy(X)|calm(X))=>(old(X)&~humble(X))))&
(![X]:((funn... | kind(paul) | [] | null | 0 |
Everyone who is either funny or strong is strong and vice versa.
Everyone who is either humble or strong is curious and vice versa.
Everyone who is either not humble or rich is both calm and strong and vice versa.
If someone is wise then lucy is either not calm or not old and vice versa.
Everyone who is either not gene... | Paul is not curious. | contradiction | (![X]:((funny(X)<~>strong(X))<=>strong(X)))&
(![X]:((humble(X)<~>strong(X))<=>curious(X)))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)&strong(X))))&
((?[X]:(wise(X)))<=>((~calm(lucy)<~>~old(lucy))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)|wise(X))))=>((kind(mary)<~>tall(mary))))&... | ~curious(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 363643518154127796518056
% SZS output start Proof for 363643518154127796518056
1. ! [X0] : ((funny(X0) <~> strong(X0)) <=> strong(X0)) [input p0]
2. ! [X0] : ((humble(X0) <~> strong(X0)) <=> curious(X0)) [input p1]
3. ! [X0] : ((~humble(X0) <~> rich(X0)) <=> (strong(X0) & calm(X0))) [inpu... | 0 |
Everyone who is patient is not kind.
Everyone who is either curious or not brave is not brave or humble.
Everyone who is either quiet or not curious is not rich and vice versa.
If fred is either creative or brave then paul is rich or curious.
If mary is either not generous or happy then someone is either happy or brave... | Fred is not humble. | neutral | (![X]:(patient(X)=>~kind(X)))&
(![X]:((curious(X)<~>~brave(X))=>(~brave(X)|humble(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>~rich(X)))&
(((creative(fred)<~>brave(fred)))=>((rich(paul)|curious(paul))))&
(((~generous(mary)<~>happy(mary)))<=>(?[X]:((happy(X)<~>brave(X)))))&
((?[X]:((~creative(X)&old(X))))=>((~calm(paul)|~c... | ~humble(fred) | [] | null | 0 |
If john is patient or not quiet then someone is humble and vice versa.
Everyone who is either tall or generous is both tall and not strong and vice versa.
If someone is not old then someone is not rich or wise.
Everyone who is not humble or wise is creative or kind and vice versa.
Everyone who is either quiet or strong... | Paul is wise. | neutral | (((patient(john)|~quiet(john)))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)<~>generous(X))<=>(tall(X)&~strong(X))))&
((?[X]:(~old(X)))=>(?[X]:((~rich(X)|wise(X)))))&
(![X]:((~humble(X)|wise(X))<=>(creative(X)|kind(X))))&
(![X]:((quiet(X)<~>strong(X))=>(~calm(X)|humble(X))))&
((tall(lucy))<=>((~patient(paul)&generous(paul)))... | wise(paul) | [] | null | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa.
Everyone who is both tall and not generous is creative or not happy and vice versa.
Everyone who is not curious or wise is not generous and vice versa.
Everyone who is not generous or not funny is funny.
Everyone who is old is no... | Lucy is not tall. | entailment | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|~happy(X))))&
(![X]:((~curious(X)|wise(X))<=>~generous(X)))&
(![X]:((~generous(X)|~funny(X))=>funny(X)))&
(![X]:(old(X)<=>~creative(X)))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![... | ~tall(lucy) | [
"p0",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3473759436703516840141408
% SZS output start Proof for 3473759436703516840141408
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~curious(X0)) <=> ~generous(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | ~generous(X0)) => funny(X0... | 0 |
Everyone who is either tall or not calm is either not calm or rich and vice versa.
If alice is quiet or not humble then someone is not tall.
If mary is both not funny and tall then john is not rich and vice versa.
Everyone who is either patient or kind is both not quiet and curious and vice versa.
Everyone who is eithe... | Mary is humble. | contradiction | (![X]:((tall(X)<~>~calm(X))<=>(~calm(X)<~>rich(X))))&
(((quiet(alice)|~humble(alice)))=>(?[X]:(~tall(X))))&
(((~funny(mary)&tall(mary)))<=>(~rich(john)))&
(![X]:((patient(X)<~>kind(X))<=>(~quiet(X)&curious(X))))&
(![X]:((~patient(X)<~>funny(X))=>(~humble(X)|~brave(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)<~>creative... | humble(mary) | [
"p0",
"p2",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7554712342680148629747938
% SZS output start Proof for 7554712342680148629747938
1. ! [X0] : ((tall(X0) <~> ~calm(X0)) <=> (~calm(X0) <~> rich(X0))) [input p0]
3. (tall(mary) & ~funny(mary)) <=> ~rich(john) [input p2]
7. ! [X0] : (patient(X0) <=> (generous(X0) | happy(X0))) [input p6]
13.... | 0 |
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