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 lucy is not calm then someone is either tall or not happy. Everyone who is humble or strong is not funny or calm and vice versa. If paul is either not curious or not funny then paul is both quiet and not funny. If someone is old then fred is strong. If someone is not patient or not generous then someone is quiet or ... | Alice is not humble. | entailment | ((~calm(lucy))=>(?[X]:((tall(X)<~>~happy(X)))))&
(![X]:((humble(X)|strong(X))<=>(~funny(X)|calm(X))))&
(((~curious(paul)<~>~funny(paul)))=>((quiet(paul)&~funny(paul))))&
((?[X]:(old(X)))=>(strong(fred)))&
((?[X]:((~patient(X)|~generous(X))))=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:(~strong(X)))<=>(generous(mary)))&
(![X]... | ~humble(alice) | [
"p7",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1791597317730029708349657
% SZS output start Proof for 1791597317730029708349657
8. ! [X0] : ((humble(X0) | ~creative(X0)) => (wise(X0) | ~funny(X0))) [input p7]
21. funny(alice) | wise(alice) [input p20]
23. ~wise(alice) & ~curious(alice) [input p22]
25. humble(alice) [input hypothesis]
... | 0 |
If mary is not generous then someone is not funny.
Everyone who is tall is either not patient or not kind.
If someone is either not funny or not tall then someone is both happy and not kind.
Everyone who is not kind or old is not calm.
If someone is either not strong or creative then fred is not kind.
Everyone who is n... | Mary is not quiet. | contradiction | ((~generous(mary))=>(?[X]:(~funny(X))))&
(![X]:(tall(X)=>(~patient(X)<~>~kind(X))))&
((?[X]:((~funny(X)<~>~tall(X))))=>(?[X]:((happy(X)&~kind(X)))))&
(![X]:((~kind(X)|old(X))=>~calm(X)))&
((?[X]:((~strong(X)<~>creative(X))))=>(~kind(fred)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>calm(X))))&
(![X]:((old(X)|ge... | ~quiet(mary) | [
"p3",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9012423505597702017361025
% SZS output start Proof for 9012423505597702017361025
4. ! [X0] : ((old(X0) | ~kind(X0)) => ~calm(X0)) [input p3]
6. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (creative(X0) <~> calm(X0))) [input p5]
13. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~quiet(X0)) [inp... | 0 |
If someone is both not kind and not happy then mary is not old or wise.
If paul is not wise then mary is both not patient and not strong and vice versa.
Everyone who is strong or not tall is not humble or old.
Everyone who is both tall and not generous is rich and vice versa.
If someone is either funny or humble then s... | John is not patient. | contradiction | ((?[X]:((~kind(X)&~happy(X))))=>((~old(mary)|wise(mary))))&
((~wise(paul))<=>((~patient(mary)&~strong(mary))))&
(![X]:((strong(X)|~tall(X))=>(~humble(X)|old(X))))&
(![X]:((tall(X)&~generous(X))<=>rich(X)))&
((?[X]:((funny(X)<~>humble(X))))<=>((~generous(susan)|wise(susan))))&
(((kind(fred)<~>curious(fred)))<=>((strong(... | ~patient(john) | [
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6618948328370604004617033
% SZS output start Proof for 6618948328370604004617033
9. ! [X0] : (happy(X0) <=> (calm(X0) <~> strong(X0))) [input p8]
12. ! [X0] : (~patient(X0) => ~calm(X0)) [input p11]
22. ~happy(john) <~> ~strong(john) [input p21]
25. ~patient(john) [input hypothesis]
33. !... | 0 |
Everyone who is not quiet is not generous. If alice is either not rich or brave then someone is either not old or not funny and vice versa. Everyone who is not strong or strong is strong. Everyone who is quiet is patient and vice versa. If paul is either not rich or kind then someone is either creative or not brave and... | Fred is strong. | entailment | (![X]:(~quiet(X)=>~generous(X)))&
(((~rich(alice)<~>brave(alice)))<=>(?[X]:((~old(X)<~>~funny(X)))))&
(![X]:((~strong(X)|strong(X))=>strong(X)))&
(![X]:(quiet(X)<=>patient(X)))&
(((~rich(paul)<~>kind(paul)))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((old(X)|brave(X))<=>(humble(X)<~>patient(X))))&
(![X]:((wise(X)&ki... | strong(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 749504994459207056829247
% SZS output start Proof for 749504994459207056829247
3. ! [X0] : ((strong(X0) | ~strong(X0)) => strong(X0)) [input p2]
24. ~strong(fred) [input hypothesis]
29. ! [X0] : (strong(X0) | (~strong(X0) & strong(X0))) [ennf transformation 3]
79. strong(X0) | strong(X0) ... | 0 |
Everyone who is funny or not humble is either tall or quiet and vice versa.
If someone is either not old or wise then someone is not old.
Everyone who is both tall and generous is not patient.
Everyone who is both not strong and quiet is not humble and vice versa.
Everyone who is not humble or kind is kind.
If lucy is ... | Mary is funny. | entailment | (![X]:((funny(X)|~humble(X))<=>(tall(X)<~>quiet(X))))&
((?[X]:((~old(X)<~>wise(X))))=>(?[X]:(~old(X))))&
(![X]:((tall(X)&generous(X))=>~patient(X)))&
(![X]:((~strong(X)&quiet(X))<=>~humble(X)))&
(![X]:((~humble(X)|kind(X))=>kind(X)))&
(((creative(lucy)<~>wise(lucy)))<=>((strong(susan)<~>patient(susan))))&
(![X]:((calm(... | funny(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8552647156432170167298343
% SZS output start Proof for 8552647156432170167298343
15. ! [X0] : ((brave(X0) <~> ~funny(X0)) <=> brave(X0)) [input p14]
25. ~funny(mary) [input hypothesis]
56. ! [X0] : ((((funny(X0) | ~brave(X0)) & (~funny(X0) | brave(X0))) | ~brave(X0)) & (brave(X0) | ((brav... | 0 |
If lucy is old then susan is either not creative or not strong.
Everyone who is brave is not kind or happy.
If fred is not old then alice is calm and vice versa.
If someone is both kind and calm then someone is wise and vice versa.
Everyone who is not curious or not calm is both tall and humble.
Everyone who is both no... | Fred is not happy. | neutral | ((old(lucy))=>((~creative(susan)<~>~strong(susan))))&
(![X]:(brave(X)=>(~kind(X)|happy(X))))&
((~old(fred))<=>(calm(alice)))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|~calm(X))=>(tall(X)&humble(X))))&
(![X]:((~tall(X)&funny(X))<=>(wise(X)&brave(X))))&
(![X]:(~wise(X)<=>(~quiet(X)<~>~tall(X))... | ~happy(fred) | [] | null | 0 |
Everyone who is either patient or old is both not curious and not humble.
If susan is either strong or not happy then someone is either happy or generous and vice versa.
Everyone who is both not rich and generous is both not tall and patient.
Everyone who is not tall is both funny and not calm.
Everyone who is both not... | Alice is creative. | entailment | (![X]:((patient(X)<~>old(X))=>(~curious(X)&~humble(X))))&
(((strong(susan)<~>~happy(susan)))<=>(?[X]:((happy(X)<~>generous(X)))))&
(![X]:((~rich(X)&generous(X))=>(~tall(X)&patient(X))))&
(![X]:(~tall(X)=>(funny(X)&~calm(X))))&
(![X]:((~funny(X)&~humble(X))<=>(~brave(X)|creative(X))))&
(((~humble(susan)&~happy(susan)))=... | creative(alice) | [
"p3",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 884234914786238645310574
% SZS output start Proof for 884234914786238645310574
4. ! [X0] : (~tall(X0) => (~calm(X0) & funny(X0))) [input p3]
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (creative(X0) | ~brave(X0))) [input p4]
7. ~funny(susan) => (happy(alice) | ~kind(alice)) [input p6]
10.... | 0 |
Everyone who is not quiet or not strong is curious and vice versa.
Everyone who is either generous or not rich is either not humble or not calm and vice versa.
If mary is both brave and strong then someone is quiet or happy.
If susan is both not old and quiet then susan is either not old or not quiet.
Everyone who is b... | Mary is funny. | entailment | (![X]:((~quiet(X)|~strong(X))<=>curious(X)))&
(![X]:((generous(X)<~>~rich(X))<=>(~humble(X)<~>~calm(X))))&
(((brave(mary)&strong(mary)))=>(?[X]:((quiet(X)|happy(X)))))&
(((~old(susan)&quiet(susan)))=>((~old(susan)<~>~quiet(susan))))&
(![X]:((brave(X)|~funny(X))<=>~calm(X)))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((~stro... | funny(mary) | [
"p0",
"p4",
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5920962948884317646484398
% SZS output start Proof for 5920962948884317646484398
1. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> curious(X0)) [input p0]
5. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~calm(X0)) [input p4]
10. (~rich(lucy) & ~calm(lucy)) <=> ? [X0] : (~brave(X0) | wise(X0)) [input ... | 0 |
Everyone who is not calm is brave or tall. If john is not funny then someone is not happy. Everyone who is either not kind or not old is both not kind and curious and vice versa. Everyone who is not curious or not generous is not rich or humble and vice versa. If susan is either not kind or patient then paul is either ... | Mary is strong. | contradiction | (![X]:(~calm(X)=>(brave(X)|tall(X))))&
((~funny(john))=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~kind(X)&curious(X))))&
(![X]:((~curious(X)|~generous(X))<=>(~rich(X)|humble(X))))&
(((~kind(susan)<~>patient(susan)))=>((calm(paul)<~>wise(paul))))&
((?[X]:((~creative(X)<~>~wise(X))))<=>((old(susan)|~humble(sus... | strong(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2585038960598650891775181
% SZS output start Proof for 2585038960598650891775181
17. ~humble(mary) & ~strong(mary) [input p16]
24. strong(mary) [input hypothesis]
129. ~strong(mary) [cnf transformation 17]
138. strong(mary) [cnf transformation 24]
335. $false [subsumption resolution 138,1... | 0 |
Everyone who is both not rich and quiet is calm.
Everyone who is either not quiet or humble is either creative or not quiet and vice versa.
Everyone who is both wise and generous is either not generous or patient.
Everyone who is either rich or not wise is both brave and not tall.
Everyone who is both not rich and tall... | Alice is rich. | contradiction | (![X]:((~rich(X)&quiet(X))=>calm(X)))&
(![X]:((~quiet(X)<~>humble(X))<=>(creative(X)<~>~quiet(X))))&
(![X]:((wise(X)&generous(X))=>(~generous(X)<~>patient(X))))&
(![X]:((rich(X)<~>~wise(X))=>(brave(X)&~tall(X))))&
(![X]:((~rich(X)&tall(X))<=>(tall(X)&kind(X))))&
(![X]:((tall(X)<~>funny(X))=>(~tall(X)<~>creative(X))))&
... | rich(alice) | [
"p1",
"p5",
"p9",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 253314516219644132810059
% SZS output start Proof for 253314516219644132810059
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (creative(X0) <~> ~quiet(X0))) [input p1]
6. ! [X0] : ((tall(X0) <~> funny(X0)) => (~tall(X0) <~> creative(X0))) [input p5]
10. ! [X0] : (~rich(X0) <=> (~funny(X0) &... | 0 |
If someone is not rich or not tall then john is creative or rich and vice versa.
If someone is patient then paul is both not funny and old and vice versa.
Everyone who is either not tall or brave is rich or not quiet and vice versa.
If someone is both brave and not happy then alice is both not funny and strong and vice... | Alice is kind. | entailment | ((?[X]:((~rich(X)|~tall(X))))<=>((creative(john)|rich(john))))&
((?[X]:(patient(X)))<=>((~funny(paul)&old(paul))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)|~quiet(X))))&
((?[X]:((brave(X)&~happy(X))))<=>((~funny(alice)&strong(alice))))&
(![X]:(creative(X)=>~happy(X)))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~happy(X)<... | kind(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4865034018074509706107680
% SZS output start Proof for 4865034018074509706107680
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (~strong(X0) | ~kind(X0))) [input p6]
25. ~kind(alice) [input hypothesis]
59. ! [X0] : (((patient(X0) & kind(X0)) | (strong(X0) & kind(X0))) & ((~strong(X0) | ~kind(X... | 0 |
Everyone who is either not humble or not generous is not happy. Everyone who is both not tall and not brave is both not tall and not happy. Everyone who is not wise is either not patient or humble. If mary is not creative then someone is either not wise or wise and vice versa. Everyone who is not old or not rich is bot... | John is not funny. | neutral | (![X]:((~humble(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)&~brave(X))=>(~tall(X)&~happy(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>humble(X))))&
((~creative(mary))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((~old(X)|~rich(X))=>(tall(X)&happy(X))))&
((?[X]:((~tall(X)<~>wise(X))))=>(?[X]:((calm(X)<~>~quiet(X)))))&
(![X]... | ~funny(john) | [] | null | 0 |
Everyone who is either curious or not old is both rich and not quiet. Everyone who is strong is not patient and vice versa. Everyone who is either patient or rich is not strong or not happy. Everyone who is either not kind or kind is generous or not curious and vice versa. Everyone who is either not creative or not qui... | Susan is not calm. | neutral | (![X]:((curious(X)<~>~old(X))=>(rich(X)&~quiet(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((patient(X)<~>rich(X))=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>kind(X))<=>(generous(X)|~curious(X))))&
(![X]:((~creative(X)<~>~quiet(X))=>~funny(X)))&
((quiet(john))=>(?[X]:(humble(X))))&
(![X]:((strong(X)<~>curious(X))... | ~calm(susan) | [] | null | 0 |
If someone is not rich then someone is either not strong or not quiet and vice versa.
Everyone who is not generous is not old.
Everyone who is either happy or quiet is not creative or not kind and vice versa.
Everyone who is either happy or old is both funny and not old and vice versa.
Everyone who is both not creative... | Lucy is old. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>~old(X)))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)|~kind(X))))&
(![X]:((happy(X)<~>old(X))<=>(funny(X)&~old(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~strong(X)|~happy(X))))&
(((rich(fred)<~>kind(fred)))<=>(?[X]:((~patient(X)|~funny(X))))... | old(lucy) | [
"p2",
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6242468789753641490600717
% SZS output start Proof for 6242468789753641490600717
3. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~kind(X0) | ~creative(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> old(X0)) <=> (~old(X0) & funny(X0))) [input p3]
5. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (~ha... | 0 |
If someone is not funny then someone is either creative or funny. Everyone who is tall or not wise is not calm or kind and vice versa. Everyone who is both not creative and old is brave or not strong and vice versa. Everyone who is tall is not brave. Everyone who is either brave or not quiet is either not patient or fu... | Mary is not happy. | entailment | ((?[X]:(~funny(X)))=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((tall(X)|~wise(X))<=>(~calm(X)|kind(X))))&
(![X]:((~creative(X)&old(X))<=>(brave(X)|~strong(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((brave(X)<~>~quiet(X))<=>(~patient(X)<~>funny(X))))&
(![X]:((tall(X)|~brave(X))<=>(~curious(X)<~>~creative(X))))&
((?[X]:... | ~happy(mary) | [
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2943576478124668704106085
% SZS output start Proof for 2943576478124668704106085
13. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p12]
15. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p14]
19. ~humble(mary) <~> happy(mary) [input p18]
25. happy(mary) [input hypothe... | 0 |
If someone is not old then mary is not brave. Everyone who is either quiet or not wise is either not tall or humble. Everyone who is either not old or strong is not creative and vice versa. Everyone who is either calm or not humble is patient or not humble and vice versa. If someone is not quiet or strong then someone ... | John is not brave. | entailment | ((?[X]:(~old(X)))=>(~brave(mary)))&
(![X]:((quiet(X)<~>~wise(X))=>(~tall(X)<~>humble(X))))&
(![X]:((~old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(patient(X)|~humble(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((happy(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>old(X))<=>(creative(X)<~>kind(X))))... | ~brave(john) | [
"p6",
"p9",
"p10",
"p11",
"p13",
"p17",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7361290819078756050980615
% SZS output start Proof for 7361290819078756050980615
7. (~wise(susan) | rich(susan)) <=> (~wise(alice) & strong(alice)) [input p6]
10. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~generous(X0) & brave(X0))) [input p9]
11. ? [X0] : ~curious(X0) => (~tall(susan) & ~b... | 0 |
Everyone who is calm or happy is both wise and not tall and vice versa.
If alice is not rich then john is both old and kind.
If someone is either not humble or happy then someone is curious and vice versa.
Everyone who is patient or kind is not brave and vice versa.
If someone is both happy and quiet then someone is br... | Paul is not humble. | neutral | (![X]:((calm(X)|happy(X))<=>(wise(X)&~tall(X))))&
((~rich(alice))=>((old(john)&kind(john))))&
((?[X]:((~humble(X)<~>happy(X))))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)|kind(X))<=>~brave(X)))&
((?[X]:((happy(X)&quiet(X))))=>(?[X]:(brave(X))))&
((?[X]:((kind(X)&~strong(X))))=>((~generous(mary)<~>creative(mary))))&
(![... | ~humble(paul) | [] | null | 0 |
Everyone who is either not curious or happy is generous or wise and vice versa.
Everyone who is not rich or not generous is not creative or not curious.
If someone is calm or kind then someone is patient or not calm and vice versa.
Everyone who is not tall is both not brave and humble.
If lucy is both funny and not tal... | Alice is not kind. | entailment | (![X]:((~curious(X)<~>happy(X))<=>(generous(X)|wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:(~tall(X)=>(~brave(X)&humble(X))))&
(((funny(lucy)&~tall(lucy)))<=>((~curious(alice)|~wise(alice))))&
(![X]:((curious(X)<~>~humble... | ~kind(alice) | [
"p0",
"p4",
"p5",
"p8",
"p10",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5405656680196388575358810
% SZS output start Proof for 5405656680196388575358810
1. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (wise(X0) | generous(X0))) [input p0]
5. (~tall(lucy) & funny(lucy)) <=> (~wise(alice) | ~curious(alice)) [input p4]
6. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=... | 0 |
Everyone who is kind or calm is not curious or not kind and vice versa.
If mary is not tall or not wise then someone is both creative and not wise.
If someone is both not generous and wise then someone is either tall or not patient and vice versa.
Everyone who is kind or rich is both not strong and not rich and vice ve... | Susan is not patient. | entailment | (![X]:((kind(X)|calm(X))<=>(~curious(X)|~kind(X))))&
(((~tall(mary)|~wise(mary)))=>(?[X]:((creative(X)&~wise(X)))))&
((?[X]:((~generous(X)&wise(X))))<=>(?[X]:((tall(X)<~>~patient(X)))))&
(![X]:((kind(X)|rich(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)&~happy(X))<=>(~creative(X)|~strong(X))))&
(((~strong(john)|~qui... | ~patient(susan) | [
"p0",
"p3",
"p4",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1312194989401005812704033
% SZS output start Proof for 1312194989401005812704033
1. ! [X0] : ((calm(X0) | kind(X0)) <=> (~kind(X0) | ~curious(X0))) [input p0]
4. ! [X0] : ((rich(X0) | kind(X0)) <=> (~rich(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (~strong(X... | 0 |
If someone is both not brave and old then mary is both old and strong and vice versa. Everyone who is not wise or not old is curious and vice versa. Everyone who is either calm or humble is both not generous and kind and vice versa. If someone is either brave or patient then someone is both not curious and not tall and... | Lucy is not quiet. | entailment | ((?[X]:((~brave(X)&old(X))))<=>((old(mary)&strong(mary))))&
(![X]:((~wise(X)|~old(X))<=>curious(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~generous(X)&kind(X))))&
((?[X]:((brave(X)<~>patient(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~generous(X))<=>humble(X)))&
((patient(paul))<=>(?[X]:((~tall(X)&~genero... | ~quiet(lucy) | [
"p2",
"p4",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3327548936175406208118702
% SZS output start Proof for 3327548936175406208118702
3. ! [X0] : ((calm(X0) <~> humble(X0)) <=> (kind(X0) & ~generous(X0))) [input p2]
5. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (~wise(X0) |... | 0 |
Everyone who is funny or not calm is either not old or generous. If someone is curious or not quiet then someone is both not patient and not funny and vice versa. Everyone who is both calm and quiet is both not happy and not kind and vice versa. Everyone who is both not humble and brave is generous or creative. Everyon... | Paul is strong. | entailment | (![X]:((funny(X)|~calm(X))=>(~old(X)<~>generous(X))))&
((?[X]:((curious(X)|~quiet(X))))<=>(?[X]:((~patient(X)&~funny(X)))))&
(![X]:((calm(X)&quiet(X))<=>(~happy(X)&~kind(X))))&
(![X]:((~humble(X)&brave(X))=>(generous(X)|creative(X))))&
(![X]:((curious(X)<~>creative(X))=>(brave(X)<~>~quiet(X))))&
(![X]:((~patient(X)&kin... | strong(paul) | [
"p1",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8572659448418932345400734
% SZS output start Proof for 8572659448418932345400734
2. ? [X0] : (~quiet(X0) | curious(X0)) <=> ? [X0] : (~funny(X0) & ~patient(X0)) [input p1]
8. ~strong(paul) <=> ? [X0] : ~quiet(X0) [input p7]
11. ! [X0] : (~rich(X0) <=> patient(X0)) [input p10]
14. ! [X0] :... | 0 |
Everyone who is not funny is both not funny and humble. If someone is either not creative or not quiet then alice is happy or not generous and vice versa. Everyone who is both not tall and not creative is either wise or creative. Everyone who is happy or not generous is not rich or not humble. If someone is not creativ... | Mary is old. | contradiction | (![X]:(~funny(X)=>(~funny(X)&humble(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>((happy(alice)|~generous(alice))))&
(![X]:((~tall(X)&~creative(X))=>(wise(X)<~>creative(X))))&
(![X]:((happy(X)|~generous(X))=>(~rich(X)|~humble(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((generous(X)<~>~quiet(X))... | old(mary) | [
"p3",
"p8",
"p10",
"p13",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7920836832315411019535736
% SZS output start Proof for 7920836832315411019535736
4. ! [X0] : ((~generous(X0) | happy(X0)) => (~humble(X0) | ~rich(X0))) [input p3]
9. ? [X0] : (humble(X0) & ~rich(X0)) => ~strong(mary) [input p8]
11. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> (~tall(X0) | ~st... | 0 |
If someone is tall then john is both not rich and not wise.
If someone is not strong then lucy is not old or generous.
Everyone who is either happy or not strong is both not kind and not happy.
If someone is either kind or not curious then alice is either not curious or not happy.
If someone is both not brave and not c... | Lucy is brave. | entailment | ((?[X]:(tall(X)))=>((~rich(john)&~wise(john))))&
((?[X]:(~strong(X)))=>((~old(lucy)|generous(lucy))))&
(![X]:((happy(X)<~>~strong(X))=>(~kind(X)&~happy(X))))&
((?[X]:((kind(X)<~>~curious(X))))=>((~curious(alice)<~>~happy(alice))))&
((?[X]:((~brave(X)&~creative(X))))<=>((~old(lucy)<~>~brave(lucy))))&
(((brave(john)<~>~r... | brave(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8820081892694792403391017
% SZS output start Proof for 8820081892694792403391017
3. ! [X0] : ((happy(X0) <~> ~strong(X0)) => (~happy(X0) & ~kind(X0))) [input p2]
4. ? [X0] : (kind(X0) <~> ~curious(X0)) => (~curious(alice) <~> ~happy(alice)) [input p3]
7. (~old(alice) | ~creative(alice)) <... | 0 |
If mary is both not brave and kind then susan is rich or quiet.
Everyone who is either rich or not funny is either rich or creative.
Everyone who is strong is either not patient or calm and vice versa.
Everyone who is both kind and generous is both generous and not curious.
Everyone who is both quiet and funny is both ... | John is wise. | contradiction | (((~brave(mary)&kind(mary)))=>((rich(susan)|quiet(susan))))&
(![X]:((rich(X)<~>~funny(X))=>(rich(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~patient(X)<~>calm(X))))&
(![X]:((kind(X)&generous(X))=>(generous(X)&~curious(X))))&
(![X]:((quiet(X)&funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~curious(X)<~>rich(X))<=>curious(... | wise(john) | [
"p2",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4727855761759262340794100
% SZS output start Proof for 4727855761759262340794100
3. ! [X0] : (strong(X0) <=> (~patient(X0) <~> calm(X0))) [input p2]
7. ! [X0] : (calm(X0) <=> (~curious(X0) & ~strong(X0))) [input p6]
16. ! [X0] : ((~brave(X0) & calm(X0)) <=> (~patient(X0) <~> ~strong(X0)))... | 0 |
Everyone who is both not quiet and not strong is not curious or curious and vice versa. If someone is both brave and not rich then paul is either not brave or not quiet and vice versa. Everyone who is wise is kind. If mary is not wise then someone is both strong and old. If someone is not funny or funny then lucy is no... | Fred is strong. | contradiction | (![X]:((~quiet(X)&~strong(X))<=>(~curious(X)|curious(X))))&
((?[X]:((brave(X)&~rich(X))))<=>((~brave(paul)<~>~quiet(paul))))&
(![X]:(wise(X)=>kind(X)))&
((~wise(mary))=>(?[X]:((strong(X)&old(X)))))&
((?[X]:((~funny(X)|funny(X))))<=>((~patient(lucy)|patient(lucy))))&
(![X]:((~kind(X)<~>~rich(X))=>(~happy(X)<~>rich(X))))... | strong(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3971610439924458411853671
% SZS output start Proof for 3971610439924458411853671
1. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (curious(X0) | ~curious(X0))) [input p0]
23. strong(fred) [input hypothesis]
37. ! [X0] : (((~strong(X0) & ~quiet(X0)) | (~curious(X0) & curious(X0))) & ((curious(X... | 0 |
Everyone who is either kind or not kind is old.
If someone is either brave or happy then alice is either not patient or not old.
Everyone who is not brave is quiet.
If susan is either not curious or rich then someone is not generous or curious.
Everyone who is not patient or not brave is both calm and creative.
If some... | Mary is not generous. | neutral | (![X]:((kind(X)<~>~kind(X))=>old(X)))&
((?[X]:((brave(X)<~>happy(X))))=>((~patient(alice)<~>~old(alice))))&
(![X]:(~brave(X)=>quiet(X)))&
(((~curious(susan)<~>rich(susan)))=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~patient(X)|~brave(X))=>(calm(X)&creative(X))))&
((?[X]:((~patient(X)<~>brave(X))))=>(?[X]:((wise(X)<... | ~generous(mary) | [] | null | 0 |
If mary is either patient or not humble then someone is both not kind and calm and vice versa. Everyone who is both rich and happy is both not patient and not strong. Everyone who is either not happy or brave is quiet and vice versa. Everyone who is happy or calm is either rich or humble. Everyone who is either kind or... | Mary is quiet. | entailment | (((patient(mary)<~>~humble(mary)))<=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:((rich(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:((~happy(X)<~>brave(X))<=>quiet(X)))&
(![X]:((happy(X)|calm(X))=>(rich(X)<~>humble(X))))&
(![X]:((kind(X)<~>rich(X))=>strong(X)))&
(![X]:((funny(X)<~>happy(X))<=>(brave(X)<~>funny(X))))&
(![X]... | quiet(mary) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6727382913211221380839980
% SZS output start Proof for 6727382913211221380839980
3. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> quiet(X0)) [input p2]
6. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (brave(X0) <~> funny(X0))) [input p5]
25. ~quiet(mary) [input hypothesis]
43. ! [X0] : ((((~brave(X... | 0 |
Everyone who is both generous and not patient is rich and vice versa.
Everyone who is brave is old or not wise and vice versa.
If john is not kind or generous then someone is not patient and vice versa.
If someone is either humble or not wise then someone is wise.
If susan is both not happy and not tall then someone is... | Fred is curious. | entailment | (![X]:((generous(X)&~patient(X))<=>rich(X)))&
(![X]:(brave(X)<=>(old(X)|~wise(X))))&
(((~kind(john)|generous(john)))<=>(?[X]:(~patient(X))))&
((?[X]:((humble(X)<~>~wise(X))))=>(?[X]:(wise(X))))&
(((~happy(susan)&~tall(susan)))<=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:((~quiet(X)&kind(X))))=>(?[X]:((calm(X)|kind(X)))))&... | curious(fred) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1975555288139254287756492
% SZS output start Proof for 1975555288139254287756492
9. ! [X0] : (~curious(X0) <=> ~brave(X0)) [input p8]
12. ! [X0] : ((curious(X0) & ~funny(X0)) <=> (curious(X0) <~> ~brave(X0))) [input p11]
24. ~curious(fred) [input hypothesis]
60. ! [X0] : ((~curious(X0) | ... | 0 |
Everyone who is happy or not wise is both not rich and generous and vice versa.
Everyone who is both happy and brave is quiet and vice versa.
If mary is either happy or calm then paul is rich and vice versa.
Everyone who is both old and strong is not kind or tall.
If john is calm or strong then someone is not happy and... | Fred is curious. | neutral | (![X]:((happy(X)|~wise(X))<=>(~rich(X)&generous(X))))&
(![X]:((happy(X)&brave(X))<=>quiet(X)))&
(((happy(mary)<~>calm(mary)))<=>(rich(paul)))&
(![X]:((old(X)&strong(X))=>(~kind(X)|tall(X))))&
(((calm(john)|strong(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((~funny(X)<~>~c... | curious(fred) | [] | null | 0 |
Everyone who is both tall and not humble is not old or wise.
Everyone who is either generous or not wise is either not brave or generous.
Everyone who is old is either not wise or wise and vice versa.
Everyone who is either not quiet or not kind is both not strong and not calm and vice versa.
Everyone who is both wise ... | Fred is old. | entailment | (![X]:((tall(X)&~humble(X))=>(~old(X)|wise(X))))&
(![X]:((generous(X)<~>~wise(X))=>(~brave(X)<~>generous(X))))&
(![X]:(old(X)<=>(~wise(X)<~>wise(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(~strong(X)&~calm(X))))&
(![X]:((wise(X)&calm(X))=>(calm(X)<~>~creative(X))))&
(![X]:(calm(X)=>happy(X)))&
(((~funny(mary)|~kind(mary)))... | old(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7305635834908350990526197
% SZS output start Proof for 7305635834908350990526197
3. ! [X0] : (old(X0) <=> (~wise(X0) <~> wise(X0))) [input p2]
25. ~old(fred) [input hypothesis]
41. ! [X0] : ((old(X0) | ((~wise(X0) | ~wise(X0)) & (wise(X0) | wise(X0)))) & (((~wise(X0) | wise(X0)) & (wise(X... | 0 |
Everyone who is not generous is both not humble and not patient and vice versa.
If someone is both not kind and humble then fred is either wise or rich and vice versa.
Everyone who is both not old and not generous is both strong and kind.
If someone is happy then lucy is kind and vice versa.
Everyone who is generous or... | Mary is not curious. | neutral | (![X]:(~generous(X)<=>(~humble(X)&~patient(X))))&
((?[X]:((~kind(X)&humble(X))))<=>((wise(fred)<~>rich(fred))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&kind(X))))&
((?[X]:(happy(X)))<=>(kind(lucy)))&
(![X]:((generous(X)|~creative(X))<=>(curious(X)&strong(X))))&
(![X]:((~strong(X)&quiet(X))=>(rich(X)&funny(X))))&
(![... | ~curious(mary) | [] | null | 0 |
If john is both creative and not happy then someone is both humble and not quiet and vice versa.
If susan is not brave then someone is both not wise and not tall and vice versa.
If lucy is either not generous or not old then someone is patient or not rich and vice versa.
Everyone who is not tall or quiet is not generou... | Lucy is not quiet. | contradiction | (((creative(john)&~happy(john)))<=>(?[X]:((humble(X)&~quiet(X)))))&
((~brave(susan))<=>(?[X]:((~wise(X)&~tall(X)))))&
(((~generous(lucy)<~>~old(lucy)))<=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((~tall(X)|quiet(X))=>~generous(X)))&
(![X]:((humble(X)<~>curious(X))<=>(calm(X)&patient(X))))&
(![X]:((~quiet(X)&wise(X))=>bra... | ~quiet(lucy) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p10",
"p14",
"p15",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2665534985683638542486235
% SZS output start Proof for 2665534985683638542486235
3. (~generous(lucy) <~> ~old(lucy)) <=> ? [X0] : (~rich(X0) | patient(X0)) [input p2]
5. ! [X0] : ((humble(X0) <~> curious(X0)) <=> (patient(X0) & calm(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~curious(X0)) ... | 0 |
Everyone who is not kind is both not rich and not creative. Everyone who is either not curious or old is not calm. If john is not curious or not rich then someone is both brave and not rich and vice versa. Everyone who is not humble or creative is not happy or not humble and vice versa. If mary is humble or not humble ... | John is not calm. | entailment | (![X]:(~kind(X)=>(~rich(X)&~creative(X))))&
(![X]:((~curious(X)<~>old(X))=>~calm(X)))&
(((~curious(john)|~rich(john)))<=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:((~humble(X)|creative(X))<=>(~happy(X)|~humble(X))))&
(((humble(mary)|~humble(mary)))<=>((tall(john)|~quiet(john))))&
(![X]:((kind(X)|~kind(X))<=>(~kind(X)<~>curi... | ~calm(john) | [
"p1",
"p4",
"p5",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6729777668485299674966388
% SZS output start Proof for 6729777668485299674966388
2. ! [X0] : ((~curious(X0) <~> old(X0)) => ~calm(X0)) [input p1]
5. (~humble(mary) | humble(mary)) <=> (~quiet(john) | tall(john)) [input p4]
6. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~kind(X0) <~> curious(X0)... | 0 |
Everyone who is either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | John is not curious. | entailment | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | ~curious(john) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8052808265650724142423
% SZS output start Proof for 8052808265650724142423
1. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~wise(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (wise(X0) => (rich(X0) & ~strong(X0))) [inp... | 0 |
If mary is both rich and not patient then someone is either not strong or not old and vice versa.
Everyone who is either not wise or curious is not rich or not strong and vice versa.
If alice is not calm then lucy is both not generous and not calm and vice versa.
If someone is either rich or generous then someone is ei... | Mary is not calm. | entailment | (((rich(mary)&~patient(mary)))<=>(?[X]:((~strong(X)<~>~old(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~rich(X)|~strong(X))))&
((~calm(alice))<=>((~generous(lucy)&~calm(lucy))))&
((?[X]:((rich(X)<~>generous(X))))=>(?[X]:((curious(X)<~>~calm(X)))))&
((?[X]:((happy(X)<~>funny(X))))<=>((~patient(paul)<~>happy(paul))))&
(![X... | ~calm(mary) | [
"p0",
"p5",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5174016048982691521252949
% SZS output start Proof for 5174016048982691521252949
1. (~patient(mary) & rich(mary)) <=> ? [X0] : (~strong(X0) <~> ~old(X0)) [input p0]
6. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~old(X0) | patient(X0))) [input p5]
8. ! [X0] : ((humble(X0) <~> strong(X0)) => (~ta... | 0 |
If mary is both kind and quiet then alice is happy.
If someone is not old or funny then susan is tall and vice versa.
Everyone who is not generous is not tall or curious and vice versa.
If someone is quiet then someone is generous.
Everyone who is not happy or patient is either kind or old and vice versa.
Everyone who ... | Alice is kind. | entailment | (((kind(mary)&quiet(mary)))=>(happy(alice)))&
((?[X]:((~old(X)|funny(X))))<=>(tall(susan)))&
(![X]:(~generous(X)<=>(~tall(X)|curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|patient(X))<=>(kind(X)<~>old(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)&~kind(X))))&
(((~old(fred)|curious(fred)))... | kind(alice) | [
"p2",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 390226770826074306173138
% SZS output start Proof for 390226770826074306173138
3. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p2]
8. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred) & patient(fred)) [input p7]
9. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (~humbl... | 0 |
Everyone who is both old and not wise is rich.
If mary is both not quiet and quiet then someone is curious and vice versa.
If someone is quiet then someone is both not tall and not old.
If someone is either not old or not patient then alice is both generous and curious.
Everyone who is not curious is happy or not tall ... | Lucy is old. | contradiction | (![X]:((old(X)&~wise(X))=>rich(X)))&
(((~quiet(mary)&quiet(mary)))<=>(?[X]:(curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~tall(X)&~old(X)))))&
((?[X]:((~old(X)<~>~patient(X))))=>((generous(alice)&curious(alice))))&
(![X]:(~curious(X)<=>(happy(X)|~tall(X))))&
(((~calm(fred)<~>generous(fred)))<=>(~happy(john)))&
(![X]:((~f... | old(lucy) | [
"p1",
"p3",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4377004710761383962245193
% SZS output start Proof for 4377004710761383962245193
2. (quiet(mary) & ~quiet(mary)) <=> ? [X0] : curious(X0) [input p1]
4. ? [X0] : (~old(X0) <~> ~patient(X0)) => (curious(alice) & generous(alice)) [input p3]
8. ? [X0] : (~rich(X0) & old(X0)) => ? [X0] : (kind... | 0 |
Everyone who is curious or tall is quiet and vice versa.
Everyone who is old or strong is either funny or humble and vice versa.
If mary is curious then someone is either tall or creative.
Everyone who is tall is not calm or not old.
If someone is calm then fred is creative or patient.
If someone is not generous or not... | Fred is creative. | entailment | (![X]:((curious(X)|tall(X))<=>quiet(X)))&
(![X]:((old(X)|strong(X))<=>(funny(X)<~>humble(X))))&
((curious(mary))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:(tall(X)=>(~calm(X)|~old(X))))&
((?[X]:(calm(X)))=>((creative(fred)|patient(fred))))&
((?[X]:((~generous(X)|~curious(X))))<=>((quiet(fred)<~>strong(fred))))&
(((~wis... | creative(fred) | [
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 550435861219537030161951
% SZS output start Proof for 550435861219537030161951
5. ? [X0] : calm(X0) => (patient(fred) | creative(fred)) [input p4]
9. ! [X0] : (~tall(X0) <=> (funny(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((~patient(X0) <~> ~kind(X0)) => rich(X0)) [input p9]
12. ! [X0] ... | 0 |
If someone is not kind then someone is either not humble or tall.
If john is kind then someone is either happy or calm and vice versa.
Everyone who is not creative or brave is calm.
If john is old or quiet then mary is not wise or creative.
Everyone who is tall or generous is either not humble or not funny and vice ver... | Mary is generous. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((~humble(X)<~>tall(X)))))&
((kind(john))<=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((~creative(X)|brave(X))=>calm(X)))&
(((old(john)|quiet(john)))=>((~wise(mary)|creative(mary))))&
(![X]:((tall(X)|generous(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((~brave(X)|generous(X))=>~brave(X)))&
(![X]:((~c... | generous(mary) | [] | null | 0 |
If john is both not wise and rich then someone is either not creative or happy.
If someone is not curious then someone is not wise or not happy.
Everyone who is not curious is wise or happy and vice versa.
If someone is both calm and rich then someone is not creative or patient.
Everyone who is old is both not brave an... | Fred is not calm. | entailment | (((~wise(john)&rich(john)))=>(?[X]:((~creative(X)<~>happy(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((~wise(X)|~happy(X)))))&
(![X]:(~curious(X)<=>(wise(X)|happy(X))))&
((?[X]:((calm(X)&rich(X))))=>(?[X]:((~creative(X)|patient(X)))))&
(![X]:(old(X)=>(~brave(X)&brave(X))))&
((?[X]:((~creative(X)|creative(X))))<=>((strong(mar... | ~calm(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 248420944092727956324314
% SZS output start Proof for 248420944092727956324314
9. ! [X0] : ((rich(X0) | calm(X0)) => (curious(X0) & ~calm(X0))) [input p8]
25. calm(fred) [input hypothesis]
39. ! [X0] : ((curious(X0) & ~calm(X0)) | (~rich(X0) & ~calm(X0))) [ennf transformation 9]
99. ~calm... | 0 |
If someone is either kind or patient then john is strong.
If mary is both not humble and brave then john is both strong and not quiet.
Everyone who is not calm is tall.
Everyone who is quiet or curious is both not kind and not humble.
Everyone who is not tall is both not creative and not brave and vice versa.
Everyone ... | John is funny. | entailment | ((?[X]:((kind(X)<~>patient(X))))=>(strong(john)))&
(((~humble(mary)&brave(mary)))=>((strong(john)&~quiet(john))))&
(![X]:(~calm(X)=>tall(X)))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~brave(X))))&
(![X]:((happy(X)&patient(X))=>(old(X)&brave(X))))&
(![X]:((~patient(X)&brave... | funny(john) | [
"p6",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7262935268629072982275318
% SZS output start Proof for 7262935268629072982275318
7. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (~brave(X0) | ~rich(X0))) [input p6]
10. ! [X0] : (~rich(X0) <=> brave(X0)) [input p9]
19. funny(john) <~> rich(john) [input p18]
25. ~funny(john) [input hypothesis... | 0 |
Everyone who is either happy or not funny is either not quiet or not strong and vice versa.
Everyone who is not rich or strong is not creative or calm.
Everyone who is rich is either kind or old.
If paul is kind or not curious then someone is happy or tall and vice versa.
If john is both not curious and curious then so... | Mary is not brave. | contradiction | (![X]:((happy(X)<~>~funny(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~rich(X)|strong(X))=>(~creative(X)|calm(X))))&
(![X]:(rich(X)=>(kind(X)<~>old(X))))&
(((kind(paul)|~curious(paul)))<=>(?[X]:((happy(X)|tall(X)))))&
(((~curious(john)&curious(john)))<=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((humble(X)|~happy(X))=>(pati... | ~brave(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7397318814152064309734555
% SZS output start Proof for 7397318814152064309734555
11. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~creative(X0) & brave(X0))) [input p10]
25. ~brave(mary) [input hypothesis]
66. ! [X0] : (((kind(X0) | ~kind(X0)) | (creative(X0) | ~brave(X0))) & ((~creative(X0) & b... | 0 |
If someone is calm then john is strong. Everyone who is not wise or wise is both not patient and not brave. Everyone who is not quiet is not calm. If mary is not wise then someone is funny or kind. If someone is both not old and funny then someone is wise or funny and vice versa. Everyone who is both not rich and quiet... | Lucy is brave. | contradiction | ((?[X]:(calm(X)))=>(strong(john)))&
(![X]:((~wise(X)|wise(X))=>(~patient(X)&~brave(X))))&
(![X]:(~quiet(X)=>~calm(X)))&
((~wise(mary))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:((wise(X)|funny(X)))))&
(![X]:((~rich(X)&quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:((~happy(X)&~generous(X))))<=>(?[X]... | brave(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 291557705613993487863289
% SZS output start Proof for 291557705613993487863289
2. ! [X0] : ((wise(X0) | ~wise(X0)) => (~brave(X0) & ~patient(X0))) [input p1]
23. brave(lucy) [input hypothesis]
30. ! [X0] : ((~brave(X0) & ~patient(X0)) | (~wise(X0) & wise(X0))) [ennf transformation 2]
68. ... | 0 |
Everyone who is either patient or creative is both humble and generous.
If someone is rich then paul is either quiet or not humble.
Everyone who is either generous or not quiet is both patient and calm.
If someone is either calm or not generous then someone is not patient or brave.
Everyone who is both humble and brave... | Mary is happy. | contradiction | (![X]:((patient(X)<~>creative(X))=>(humble(X)&generous(X))))&
((?[X]:(rich(X)))=>((quiet(paul)<~>~humble(paul))))&
(![X]:((generous(X)<~>~quiet(X))=>(patient(X)&calm(X))))&
((?[X]:((calm(X)<~>~generous(X))))=>(?[X]:((~patient(X)|brave(X)))))&
(![X]:((humble(X)&brave(X))<=>happy(X)))&
(((~strong(mary)|~curious(mary)))<=... | happy(mary) | [
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3558416884353806203410720
% SZS output start Proof for 3558416884353806203410720
5. ! [X0] : ((brave(X0) & humble(X0)) <=> happy(X0)) [input p4]
24. ~humble(mary) & ~strong(mary) [input p23]
25. happy(mary) [input hypothesis]
29. ! [X0] : (happy(X0) => (brave(X0) & humble(X0))) [unused pr... | 0 |
Everyone who is not patient or not kind is either kind or not patient and vice versa.
If someone is not kind or quiet then lucy is either old or not generous.
Everyone who is both not creative and not generous is creative and vice versa.
If someone is not rich then someone is either curious or not calm.
Everyone who is... | Susan is old. | contradiction | (![X]:((~patient(X)|~kind(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)|quiet(X))))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)&~generous(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(patient(X)<=>~quiet(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quie... | old(susan) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3194268642241862554978960
% SZS output start Proof for 3194268642241862554978960
3. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> creative(X0)) [input p2]
16. old(susan) <~> ~creative(susan) [input p15]
21. old(susan) [input hypothesis]
33. ! [X0] : (((~generous(X0) & ~creative(X0)) | ~cr... | 0 |
If someone is patient then fred is generous.
Everyone who is either creative or not brave is humble or curious and vice versa.
Everyone who is both creative and humble is not curious or patient and vice versa.
If fred is both not creative and quiet then someone is either kind or not humble and vice versa.
Everyone who ... | Paul is not wise. | entailment | ((?[X]:(patient(X)))=>(generous(fred)))&
(![X]:((creative(X)<~>~brave(X))<=>(humble(X)|curious(X))))&
(![X]:((creative(X)&humble(X))<=>(~curious(X)|patient(X))))&
(((~creative(fred)&quiet(fred)))<=>(?[X]:((kind(X)<~>~humble(X)))))&
(![X]:((generous(X)&funny(X))<=>(funny(X)|creative(X))))&
(![X]:((humble(X)&~kind(X))<=>... | ~wise(paul) | [
"p2",
"p5",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 77103582059007695168182
% SZS output start Proof for 77103582059007695168182
3. ! [X0] : ((humble(X0) & creative(X0)) <=> (patient(X0) | ~curious(X0))) [input p2]
6. ! [X0] : ((~kind(X0) & humble(X0)) <=> (kind(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (creat... | 0 |
Everyone who is both calm and not calm is both humble and not strong and vice versa.
Everyone who is both patient and curious is both wise and funny.
Everyone who is not curious is generous or happy.
Everyone who is either humble or quiet is wise or not quiet and vice versa.
If someone is either rich or not tall then j... | John is funny. | neutral | (![X]:((calm(X)&~calm(X))<=>(humble(X)&~strong(X))))&
(![X]:((patient(X)&curious(X))=>(wise(X)&funny(X))))&
(![X]:(~curious(X)=>(generous(X)|happy(X))))&
(![X]:((humble(X)<~>quiet(X))<=>(wise(X)|~quiet(X))))&
((?[X]:((rich(X)<~>~tall(X))))<=>((patient(john)|rich(john))))&
((~funny(susan))<=>(?[X]:((kind(X)&~creative(X)... | funny(john) | [] | null | 0 |
If someone is either not calm or not creative then lucy is both not calm and quiet.
Everyone who is both humble and not happy is happy or not funny and vice versa.
Everyone who is funny is not happy and vice versa.
If someone is both creative and wise then fred is not brave or not calm and vice versa.
Everyone who is e... | Susan is happy. | contradiction | ((?[X]:((~calm(X)<~>~creative(X))))=>((~calm(lucy)&quiet(lucy))))&
(![X]:((humble(X)&~happy(X))<=>(happy(X)|~funny(X))))&
(![X]:(funny(X)<=>~happy(X)))&
((?[X]:((creative(X)&wise(X))))<=>((~brave(fred)|~calm(fred))))&
(![X]:((~funny(X)<~>kind(X))=>(happy(X)|~strong(X))))&
(![X]:((~patient(X)&~wise(X))=>(~old(X)&~rich(X... | happy(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1801781613279370306622440
% SZS output start Proof for 1801781613279370306622440
2. ! [X0] : ((~happy(X0) & humble(X0)) <=> (~funny(X0) | happy(X0))) [input p1]
24. happy(susan) [input hypothesis]
40. ! [X0] : (((~happy(X0) & humble(X0)) | (funny(X0) & ~happy(X0))) & ((~funny(X0) | happy(... | 0 |
If john is both not calm and tall then alice is humble.
If someone is both not strong and kind then someone is both creative and curious and vice versa.
If someone is not humble or old then mary is both not tall and old.
Everyone who is either not quiet or not calm is not rich or generous and vice versa.
Everyone who i... | John is kind. | contradiction | (((~calm(john)&tall(john)))=>(humble(alice)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:((creative(X)&curious(X)))))&
((?[X]:((~humble(X)|old(X))))=>((~tall(mary)&old(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~rich(X)|generous(X))))&
(![X]:((~calm(X)<~>~creative(X))=>(curious(X)|~calm(X))))&
(![X]:((~curious(X)&~tall(X)... | kind(john) | [
"p3",
"p4",
"p5",
"p6",
"p10",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8370667400399784164929749
% SZS output start Proof for 8370667400399784164929749
4. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (generous(X0) | ~rich(X0))) [input p3]
5. ! [X0] : ((~calm(X0) <~> ~creative(X0)) => (~calm(X0) | curious(X0))) [input p4]
6. ! [X0] : ((~tall(X0) & ~curious(X0)) <... | 0 |
Everyone who is not tall or curious is not brave or kind and vice versa.
Everyone who is both not wise and not generous is both not wise and not happy.
Everyone who is either generous or not funny is either kind or not humble.
Everyone who is humble or brave is happy.
Everyone who is both not kind and not brave is both... | John is not tall. | contradiction | (![X]:((~tall(X)|curious(X))<=>(~brave(X)|kind(X))))&
(![X]:((~wise(X)&~generous(X))=>(~wise(X)&~happy(X))))&
(![X]:((generous(X)<~>~funny(X))=>(kind(X)<~>~humble(X))))&
(![X]:((humble(X)|brave(X))=>happy(X)))&
(![X]:((~kind(X)&~brave(X))<=>(creative(X)&calm(X))))&
((?[X]:(creative(X)))=>((~curious(mary)|~strong(mary))... | ~tall(john) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7768154342903907203345217
% SZS output start Proof for 7768154342903907203345217
14. ! [X0] : ((~tall(X0) | wise(X0)) => (brave(X0) & creative(X0))) [input p13]
15. ! [X0] : ((wise(X0) | creative(X0)) <=> (~creative(X0) & calm(X0))) [input p14]
22. ~tall(john) [input hypothesis]
34. ! [X0... | 0 |
If someone is not patient then someone is either funny or calm.
Everyone who is both not generous and not patient is not quiet or not wise.
If someone is not curious or not humble then someone is not quiet and vice versa.
If someone is both wise and not happy then mary is not funny or curious.
Everyone who is not patie... | Alice is curious. | entailment | ((?[X]:(~patient(X)))=>(?[X]:((funny(X)<~>calm(X)))))&
(![X]:((~generous(X)&~patient(X))=>(~quiet(X)|~wise(X))))&
((?[X]:((~curious(X)|~humble(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)&~happy(X))))=>((~funny(mary)|curious(mary))))&
(![X]:(~patient(X)<=>(~strong(X)&~curious(X))))&
((?[X]:((~old(X)<~>~generous(X))))=... | curious(alice) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 76421444254961719342668
% SZS output start Proof for 76421444254961719342668
5. ! [X0] : (~patient(X0) <=> (~curious(X0) & ~strong(X0))) [input p4]
7. ! [X0] : (patient(X0) <=> ~strong(X0)) [input p6]
23. ~curious(alice) [input hypothesis]
50. ! [X0] : ((~patient(X0) | (curious(X0) | stro... | 0 |
Everyone who is patient or not calm is both not tall and not curious. Everyone who is either strong or wise is not wise or not kind and vice versa. If someone is calm then susan is both rich and wise. If someone is not calm then john is kind or quiet. Everyone who is either not humble or not strong is both tall and fun... | John is not quiet. | contradiction | (![X]:((patient(X)|~calm(X))=>(~tall(X)&~curious(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:(calm(X)))=>((rich(susan)&wise(susan))))&
((?[X]:(~calm(X)))=>((kind(john)|quiet(john))))&
(![X]:((~humble(X)<~>~strong(X))<=>(tall(X)&funny(X))))&
(((old(lucy)|generous(lucy)))<=>((~humble(mary)&strong(... | ~quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8549169815212491131284169
% SZS output start Proof for 8549169815212491131284169
2. ! [X0] : ((strong(X0) <~> wise(X0)) <=> (~kind(X0) | ~wise(X0))) [input p1]
3. ? [X0] : calm(X0) => (wise(susan) & rich(susan)) [input p2]
4. ? [X0] : ~calm(X0) => (quiet(john) | kind(john)) [input p3]
5. ... | 0 |
Everyone who is kind is both not strong and not creative and vice versa.
Everyone who is tall is both not rich and not kind and vice versa.
Everyone who is both strong and old is strong or patient.
If someone is both not funny and not tall then someone is both not calm and quiet.
If susan is both generous and patient t... | Fred is happy. | neutral | (![X]:(kind(X)<=>(~strong(X)&~creative(X))))&
(![X]:(tall(X)<=>(~rich(X)&~kind(X))))&
(![X]:((strong(X)&old(X))=>(strong(X)|patient(X))))&
((?[X]:((~funny(X)&~tall(X))))=>(?[X]:((~calm(X)&quiet(X)))))&
(((generous(susan)&patient(susan)))<=>((quiet(lucy)|funny(lucy))))&
(![X]:((~wise(X)<~>~funny(X))<=>(funny(X)<~>~tall(... | happy(fred) | [] | null | 0 |
If susan is not tall then someone is either happy or not brave.
If susan is either old or not funny then someone is old or generous.
Everyone who is either quiet or not calm is happy.
Everyone who is strong or not wise is either quiet or not strong and vice versa.
If paul is either not tall or not strong then mary is b... | Mary is not calm. | entailment | ((~tall(susan))=>(?[X]:((happy(X)<~>~brave(X)))))&
(((old(susan)<~>~funny(susan)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((quiet(X)<~>~calm(X))=>happy(X)))&
(![X]:((strong(X)|~wise(X))<=>(quiet(X)<~>~strong(X))))&
(((~tall(paul)<~>~strong(paul)))=>((~wise(mary)&~funny(mary))))&
(![X]:((~humble(X)|~creative(X))<=>quiet... | ~calm(mary) | [
"p2",
"p3",
"p6",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2678529956268152783293580
% SZS output start Proof for 2678529956268152783293580
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) => happy(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | strong(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & curious(X0)) => (~quiet(X0) <~> bra... | 0 |
If alice is rich then lucy is either strong or not kind.
If paul is rich then someone is either strong or not happy and vice versa.
Everyone who is not curious or not generous is generous and vice versa.
Everyone who is both not kind and not strong is not creative or wise.
Everyone who is humble is quiet.
If lucy is ca... | Susan is calm. | entailment | ((rich(alice))=>((strong(lucy)<~>~kind(lucy))))&
((rich(paul))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
(![X]:((~kind(X)&~strong(X))=>(~creative(X)|wise(X))))&
(![X]:(humble(X)=>quiet(X)))&
(((calm(lucy)|strong(lucy)))=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)|... | calm(susan) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8098845805582505314776038
% SZS output start Proof for 8098845805582505314776038
3. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> generous(X0)) [input p2]
8. ! [X0] : ((generous(X0) | ~brave(X0)) => (calm(X0) & patient(X0))) [input p7]
24. ~calm(susan) [input hypothesis]
36. ! [X0] : ((cal... | 0 |
If someone is not patient then someone is strong or not old and vice versa.
Everyone who is not kind or not funny is funny.
If alice is both funny and happy then someone is either not wise or not funny and vice versa.
Everyone who is not kind or patient is not calm.
If someone is happy or not generous then someone is e... | Susan is not brave. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:((strong(X)|~old(X)))))&
(![X]:((~kind(X)|~funny(X))=>funny(X)))&
(((funny(alice)&happy(alice)))<=>(?[X]:((~wise(X)<~>~funny(X)))))&
(![X]:((~kind(X)|patient(X))=>~calm(X)))&
((?[X]:((happy(X)|~generous(X))))=>(?[X]:((~calm(X)<~>strong(X)))))&
((?[X]:((generous(X)|brave(X))))=>((generous(s... | ~brave(susan) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 231706641597993612115898
% SZS output start Proof for 231706641597993612115898
2. ! [X0] : ((~funny(X0) | ~kind(X0)) => funny(X0)) [input p1]
8. ? [X0] : ~brave(X0) => ? [X0] : (~funny(X0) & quiet(X0)) [input p7]
25. ~brave(susan) [input hypothesis]
28. ? [X0] : ~brave(X0) => ? [X1] : (~f... | 0 |
If someone is both patient and not brave then someone is not curious or not patient.
If someone is either not calm or happy then someone is not wise.
Everyone who is either not calm or not generous is tall.
Everyone who is either patient or not funny is both strong and tall and vice versa.
Everyone who is not quiet is ... | Susan is humble. | contradiction | ((?[X]:((patient(X)&~brave(X))))=>(?[X]:((~curious(X)|~patient(X)))))&
((?[X]:((~calm(X)<~>happy(X))))=>(?[X]:(~wise(X))))&
(![X]:((~calm(X)<~>~generous(X))=>tall(X)))&
(![X]:((patient(X)<~>~funny(X))<=>(strong(X)&tall(X))))&
(![X]:(~quiet(X)<=>(~humble(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))<=>(tall(X)&funny(X))))&... | humble(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1936867266484961124882207
% SZS output start Proof for 1936867266484961124882207
11. ! [X0] : (creative(X0) <=> (humble(X0) & ~creative(X0))) [input p10]
25. humble(susan) [input hypothesis]
64. ! [X0] : ((creative(X0) | (~humble(X0) | creative(X0))) & ((humble(X0) & ~creative(X0)) | ~cre... | 0 |
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and not quiet then someone is rich and vice versa. Everyone who is not quiet is both rich and not humble. Everyone who is either not patient or humble is generous. Everyone who is not quiet or strong is either wise or ... | Mary is not tall. | entailment | (![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:(~quiet(X)=>(rich(X)&~humble(X))))&
(![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creati... | ~tall(mary) | [
"p4",
"p5",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3244882155914328710190340
% SZS output start Proof for 3244882155914328710190340
5. ! [X0] : ((strong(X0) | ~quiet(X0)) => (wise(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p5]
10. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (funny(X0) & ~strong(X0))... | 0 |
If someone is happy or wise then someone is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan is not tall then paul is both happy and not funny. If someone is generous then al... | Alice is old. | neutral | ((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(alice)))&
(![X]:((~curious(X)<~>rich(X))<=>(tall(X)<~... | old(alice) | [] | null | 0 |
Everyone who is both not wise and not funny is either not creative or not rich.
If alice is either brave or not creative then someone is both happy and old and vice versa.
If lucy is not calm or curious then someone is either rich or humble.
Everyone who is both generous and not generous is tall or creative and vice ve... | Lucy is tall. | contradiction | (![X]:((~wise(X)&~funny(X))=>(~creative(X)<~>~rich(X))))&
(((brave(alice)<~>~creative(alice)))<=>(?[X]:((happy(X)&old(X)))))&
(((~calm(lucy)|curious(lucy)))=>(?[X]:((rich(X)<~>humble(X)))))&
(![X]:((generous(X)&~generous(X))<=>(tall(X)|creative(X))))&
((?[X]:((~funny(X)<~>~rich(X))))=>(?[X]:(~strong(X))))&
(((~happy(fr... | tall(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2894501098267915621950978
% SZS output start Proof for 2894501098267915621950978
4. ! [X0] : ((~generous(X0) & generous(X0)) <=> (creative(X0) | tall(X0))) [input p3]
25. tall(lucy) [input hypothesis]
45. ! [X0] : (((~generous(X0) & generous(X0)) | (~creative(X0) & ~tall(X0))) & ((creativ... | 0 |
If mary is rich then someone is quiet and vice versa. If someone is either not kind or not old then someone is brave or not creative and vice versa. If paul is not funny or tall then someone is both not old and not curious. Everyone who is not happy is both not happy and rich and vice versa. If alice is either not pati... | Alice is not rich. | entailment | ((rich(mary))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)<~>~old(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(((~funny(paul)|tall(paul)))=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~happy(X)<=>(~happy(X)&rich(X))))&
(((~patient(alice)<~>humble(alice)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<... | ~rich(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1958269115477782718278550
% SZS output start Proof for 1958269115477782718278550
14. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) [input p13]
24. rich(alice) [input hypothesis]
41. ! [X0] : (~rich(X0) | (~rich(X0) & ~creative(X0))) [ennf transformation 14]
118. ~rich(X0) | ~rich(X0) ... | 0 |
Everyone who is either not rich or not generous is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either... | Fred is strong. | contradiction | (![X]:((~rich(X)<~>~generous(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X... | strong(fred) | [
"p1",
"p8",
"p9",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4593659516814832370527737
% SZS output start Proof for 4593659516814832370527737
2. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~humble(X0)) [input p1]
9. ! [X0] : ((humble(X0) <~> ~curious(X0)) <=> (~quiet(X0) | ~wise(X0))) [input p8]
10. ! [X0] : ((~kind(X0) | rich(X0)) => (kind(X0) & funny(... | 0 |
If someone is not patient then someone is not funny.
If lucy is not wise or not tall then alice is either quiet or not creative.
Everyone who is wise or not rich is not rich or humble and vice versa.
If john is both not happy and not funny then someone is rich or not strong.
Everyone who is curious is kind or not wise.... | Mary is funny. | neutral | ((?[X]:(~patient(X)))=>(?[X]:(~funny(X))))&
(((~wise(lucy)|~tall(lucy)))=>((quiet(alice)<~>~creative(alice))))&
(![X]:((wise(X)|~rich(X))<=>(~rich(X)|humble(X))))&
(((~happy(john)&~funny(john)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(curious(X)=>(kind(X)|~wise(X))))&
(![X]:((~creative(X)<~>wise(X))<=>tall(X)))&
(![X]:... | funny(mary) | [] | null | 0 |
If someone is not kind then someone is not brave or not rich and vice versa.
If mary is not strong then someone is either not funny or not calm.
If paul is funny then someone is happy or patient.
If someone is both not humble and not funny then someone is funny and vice versa.
If mary is patient or not patient then mar... | John is kind. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((~brave(X)|~rich(X)))))&
((~strong(mary))=>(?[X]:((~funny(X)<~>~calm(X)))))&
((funny(paul))=>(?[X]:((happy(X)|patient(X)))))&
((?[X]:((~humble(X)&~funny(X))))<=>(?[X]:(funny(X))))&
(((patient(mary)|~patient(mary)))<=>((~creative(mary)<~>~brave(mary))))&
((?[X]:((generous(X)&~creative(X))))<=... | kind(john) | [] | null | 0 |
Everyone who is either not wise or not strong is either not calm or funny and vice versa. Everyone who is either not wise or patient is patient or not creative and vice versa. Everyone who is curious is brave and vice versa. Everyone who is either strong or calm is either not funny or quiet and vice versa. Everyone who... | Susan is not generous. | neutral | (![X]:((~wise(X)<~>~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>brave(X)))&
(![X]:((strong(X)<~>calm(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(~rich(X)=>(~old(X)|tall(X))))&
(![X]:((humble(X)<~>creative(X))=>(~wise(X)|generous(X))))&
((?[X]:((quie... | ~generous(susan) | [] | null | 0 |
If fred is both not brave and generous then someone is not rich or not quiet and vice versa.
If john is either creative or not brave then someone is both kind and generous.
If someone is not quiet or not strong then fred is not wise.
Everyone who is not tall is generous or strong.
Everyone who is either quiet or funny ... | Mary is quiet. | entailment | (((~brave(fred)&generous(fred)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
(((creative(john)<~>~brave(john)))=>(?[X]:((kind(X)&generous(X)))))&
((?[X]:((~quiet(X)|~strong(X))))=>(~wise(fred)))&
(![X]:(~tall(X)=>(generous(X)|strong(X))))&
(![X]:((quiet(X)<~>funny(X))<=>~creative(X)))&
(![X]:((happy(X)|~tall(X))=>(strong(X)<~>~h... | quiet(mary) | [
"p0",
"p5",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5323867103989202112139449
% SZS output start Proof for 5323867103989202112139449
1. (generous(fred) & ~brave(fred)) <=> ? [X0] : (~quiet(X0) | ~rich(X0)) [input p0]
6. ! [X0] : ((~tall(X0) | happy(X0)) => (strong(X0) <~> ~happy(X0))) [input p5]
10. ! [X0] : ((~patient(X0) <~> ~happy(X0)) ... | 0 |
Everyone who is either calm or not curious is creative or wise and vice versa. If someone is either not patient or not funny then someone is not tall or quiet and vice versa. Everyone who is both kind and not rich is not rich. Everyone who is both not creative and not curious is not patient and vice versa. Everyone who... | Mary is not generous. | contradiction | (![X]:((calm(X)<~>~curious(X))<=>(creative(X)|wise(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:((kind(X)&~rich(X))=>~rich(X)))&
(![X]:((~creative(X)&~curious(X))<=>~patient(X)))&
(![X]:(generous(X)<=>(curious(X)<~>~calm(X))))&
(![X]:((humble(X)<~>~patient(X))<=>humble(X)))&
((?[X]:... | ~generous(mary) | [
"p0",
"p3",
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3751909288032810006611438
% SZS output start Proof for 3751909288032810006611438
1. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> (wise(X0) | creative(X0))) [input p0]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : (generous(X0) <=> (curious(X0) <~> ~calm... | 0 |
Everyone who is not rich or quiet is not brave.
If alice is humble then someone is both rich and not old.
If susan is not funny or not quiet then paul is either rich or not funny and vice versa.
Everyone who is either not old or old is brave and vice versa.
Everyone who is old or not old is not creative or not wise and... | Fred is brave. | entailment | (![X]:((~rich(X)|quiet(X))=>~brave(X)))&
((humble(alice))=>(?[X]:((rich(X)&~old(X)))))&
(((~funny(susan)|~quiet(susan)))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~old(X)<~>old(X))<=>brave(X)))&
(![X]:((old(X)|~old(X))<=>(~creative(X)|~wise(X))))&
(![X]:(~creative(X)=>(~creative(X)|rich(X))))&
((?[X]:((old(X)|~old(X)))... | brave(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2321166000334899141834619
% SZS output start Proof for 2321166000334899141834619
4. ! [X0] : ((~old(X0) <~> old(X0)) <=> brave(X0)) [input p3]
22. ~brave(fred) [input hypothesis]
37. ! [X0] : ((((~old(X0) | old(X0)) & (old(X0) | ~old(X0))) | ~brave(X0)) & (brave(X0) | ((~old(X0) | ~old(X0... | 0 |
Everyone who is both not rich and not generous is not rich or wise. Everyone who is either not humble or kind is both wise and humble and vice versa. If susan is not brave or strong then someone is both wise and not strong and vice versa. Everyone who is not calm is not old and vice versa. Everyone who is both not quie... | Mary is not humble. | neutral | (![X]:((~rich(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(wise(X)&humble(X))))&
(((~brave(susan)|strong(susan)))<=>(?[X]:((wise(X)&~strong(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:((~quiet(X)&creative(X))=>(tall(X)|strong(X))))&
(((curious(mary)|tall(mary)))=>(~old(lucy)))&
(((calm(paul)|... | ~humble(mary) | [] | null | 0 |
Everyone who is strong or calm is not humble or strong and vice versa.
If lucy is wise then someone is either humble or not humble and vice versa.
Everyone who is not creative is brave or happy and vice versa.
Everyone who is wise is not calm.
If someone is both not quiet and old then alice is both not humble and not r... | Alice is not old. | entailment | (![X]:((strong(X)|calm(X))<=>(~humble(X)|strong(X))))&
((wise(lucy))<=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:(~creative(X)<=>(brave(X)|happy(X))))&
(![X]:(wise(X)=>~calm(X)))&
((?[X]:((~quiet(X)&old(X))))=>((~humble(alice)&~rich(alice))))&
(![X]:((~happy(X)<~>~humble(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&... | ~old(alice) | [
"p8",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6626361063996772763136104
% SZS output start Proof for 6626361063996772763136104
9. ! [X0] : ((wise(X0) & generous(X0)) <=> (~creative(X0) | ~strong(X0))) [input p8]
14. ! [X0] : (~old(X0) <=> (creative(X0) | ~strong(X0))) [input p13]
19. ~generous(alice) & ~curious(alice) [input p18]
25.... | 0 |
If someone is happy then someone is both not happy and not patient and vice versa.
Everyone who is not old or not patient is not strong.
If susan is either not kind or quiet then alice is both not wise and patient.
If someone is wise then susan is either wise or happy and vice versa.
Everyone who is not old or not crea... | John is not old. | contradiction | ((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~old(X)|~patient(X))=>~strong(X)))&
(((~kind(susan)<~>quiet(susan)))=>((~wise(alice)&patient(alice))))&
((?[X]:(wise(X)))<=>((wise(susan)<~>happy(susan))))&
(![X]:((~old(X)|~creative(X))=>(~happy(X)|~brave(X))))&
((?[X]:(creative(X)))<=>((~generous(lucy)|~... | ~old(john) | [
"p0",
"p1",
"p10",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2427876939286845968819670
% SZS output start Proof for 2427876939286845968819670
1. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & ~happy(X0)) [input p0]
2. ! [X0] : ((~patient(X0) | ~old(X0)) => ~strong(X0)) [input p1]
11. ? [X0] : (~happy(X0) <~> patient(X0)) <=> (generous(john) & tall... | 0 |
Everyone who is either not funny or kind is either not quiet or not calm and vice versa. If mary is either not curious or strong then lucy is both not rich and not patient. Everyone who is not brave is funny. Everyone who is either not calm or not happy is not happy or calm. If susan is strong or patient then someone i... | Mary is not quiet. | contradiction | (![X]:((~funny(X)<~>kind(X))<=>(~quiet(X)<~>~calm(X))))&
(((~curious(mary)<~>strong(mary)))=>((~rich(lucy)&~patient(lucy))))&
(![X]:(~brave(X)=>funny(X)))&
(![X]:((~calm(X)<~>~happy(X))=>(~happy(X)|calm(X))))&
(((strong(susan)|patient(susan)))=>(?[X]:((humble(X)&tall(X)))))&
(![X]:(~creative(X)<=>(quiet(X)|~brave(X))))... | ~quiet(mary) | [
"p5",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2392141768661659177124365
% SZS output start Proof for 2392141768661659177124365
6. ! [X0] : (~creative(X0) <=> (~brave(X0) | quiet(X0))) [input p5]
9. ! [X0] : ((quiet(X0) <~> ~wise(X0)) => (humble(X0) | ~patient(X0))) [input p8]
10. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (funny(X0) &... | 0 |
If fred is not patient then someone is creative and vice versa.
If fred is either kind or quiet then someone is not happy and vice versa.
Everyone who is not kind or not brave is brave and vice versa.
Everyone who is funny is humble and vice versa.
If lucy is both humble and not generous then paul is not old.
Everyone ... | Lucy is not rich. | neutral | ((~patient(fred))<=>(?[X]:(creative(X))))&
(((kind(fred)<~>quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>brave(X)))&
(![X]:(funny(X)<=>humble(X)))&
(((humble(lucy)&~generous(lucy)))=>(~old(paul)))&
(![X]:((~rich(X)|calm(X))=>(old(X)<~>tall(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>quiet(X))))&
((?[X]:((~... | ~rich(lucy) | [] | null | 0 |
If someone is both tall and not kind then someone is not humble or creative.
Everyone who is both not kind and funny is humble or funny and vice versa.
Everyone who is not humble or rich is not wise or creative and vice versa.
If someone is either tall or brave then alice is either not generous or not quiet and vice ve... | Fred is funny. | neutral | ((?[X]:((tall(X)&~kind(X))))=>(?[X]:((~humble(X)|creative(X)))))&
(![X]:((~kind(X)&funny(X))<=>(humble(X)|funny(X))))&
(![X]:((~humble(X)|rich(X))<=>(~wise(X)|creative(X))))&
((?[X]:((tall(X)<~>brave(X))))<=>((~generous(alice)<~>~quiet(alice))))&
(((~wise(susan)&rich(susan)))<=>((calm(mary)&rich(mary))))&
((?[X]:(old(X... | funny(fred) | [] | null | 0 |
If lucy is not happy or not generous then someone is either not rich or quiet and vice versa.
Everyone who is humble is either not rich or happy.
If someone is not rich then someone is rich or not creative.
Everyone who is not creative or rich is not quiet and vice versa.
Everyone who is tall is both not rich and patie... | Lucy is not creative. | neutral | (((~happy(lucy)|~generous(lucy)))<=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:(humble(X)=>(~rich(X)<~>happy(X))))&
((?[X]:(~rich(X)))=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~creative(X)|rich(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~rich(X)&patient(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~creative(X)&strong(X)))))&
(((~curious... | ~creative(lucy) | [] | null | 0 |
Everyone who is both not kind and not brave is both not kind and not creative. Everyone who is not strong or brave is not quiet or strong. Everyone who is not happy or not strong is rich or not rich. Everyone who is not curious or humble is both not funny and not humble. If someone is not rich then someone is both not ... | Mary is not rich. | neutral | (![X]:((~kind(X)&~brave(X))=>(~kind(X)&~creative(X))))&
(![X]:((~strong(X)|brave(X))=>(~quiet(X)|strong(X))))&
(![X]:((~happy(X)|~strong(X))=>(rich(X)|~rich(X))))&
(![X]:((~curious(X)|humble(X))=>(~funny(X)&~humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~tall(X)&~patient(X)))))&
((?[X]:((~calm(X)|happy(X))))=>((~humble(ma... | ~rich(mary) | [] | null | 0 |
Everyone who is kind is humble or not humble and vice versa. Everyone who is not patient is quiet. Everyone who is both patient and strong is strong and vice versa. Everyone who is strong or quiet is not kind or old. Everyone who is rich or not brave is both strong and quiet. Everyone who is calm is not patient or humb... | Lucy is funny. | neutral | (![X]:(kind(X)<=>(humble(X)|~humble(X))))&
(![X]:(~patient(X)=>quiet(X)))&
(![X]:((patient(X)&strong(X))<=>strong(X)))&
(![X]:((strong(X)|quiet(X))=>(~kind(X)|old(X))))&
(![X]:((rich(X)|~brave(X))=>(strong(X)&quiet(X))))&
(![X]:(calm(X)<=>(~patient(X)|humble(X))))&
(![X]:((quiet(X)&~old(X))=>(old(X)<~>~strong(X))))&
(!... | funny(lucy) | [] | null | 0 |
Everyone who is either not creative or funny is not creative or tall and vice versa. Everyone who is not quiet is either curious or not generous. If someone is not brave or not strong then someone is both strong and quiet and vice versa. Everyone who is not old is either humble or not rich and vice versa. Everyone who ... | Susan is not wise. | entailment | (![X]:((~creative(X)<~>funny(X))<=>(~creative(X)|tall(X))))&
(![X]:(~quiet(X)=>(curious(X)<~>~generous(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((strong(X)&quiet(X)))))&
(![X]:(~old(X)<=>(humble(X)<~>~rich(X))))&
(![X]:((tall(X)|~tall(X))<=>(~funny(X)&~wise(X))))&
(![X]:((happy(X)<~>creative(X))=>(happy(X)&creat... | ~wise(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6094884387866051439476708
% SZS output start Proof for 6094884387866051439476708
5. ! [X0] : ((~tall(X0) | tall(X0)) <=> (~wise(X0) & ~funny(X0))) [input p4]
24. wise(susan) [input hypothesis]
46. ! [X0] : (((~tall(X0) | tall(X0)) | (wise(X0) | funny(X0))) & ((~wise(X0) & ~funny(X0)) | (t... | 0 |
If someone is kind then someone is either not tall or creative.
If someone is tall or quiet then fred is either not patient or not strong.
Everyone who is not rich or not wise is happy or quiet.
Everyone who is happy is not patient or rich and vice versa.
Everyone who is funny or not funny is both funny and happy.
If s... | Alice is generous. | entailment | ((?[X]:(kind(X)))=>(?[X]:((~tall(X)<~>creative(X)))))&
((?[X]:((tall(X)|quiet(X))))=>((~patient(fred)<~>~strong(fred))))&
(![X]:((~rich(X)|~wise(X))=>(happy(X)|quiet(X))))&
(![X]:(happy(X)<=>(~patient(X)|rich(X))))&
(![X]:((funny(X)|~funny(X))=>(funny(X)&happy(X))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((~calm(X)|~f... | generous(alice) | [
"p4",
"p8",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4762608804527102453549152
% SZS output start Proof for 4762608804527102453549152
5. ! [X0] : ((~funny(X0) | funny(X0)) => (happy(X0) & funny(X0))) [input p4]
9. ! [X0] : (tall(X0) => (~old(X0) <~> ~happy(X0))) [input p8]
10. ! [X0] : ((~generous(X0) | ~wise(X0)) => (~old(X0) <~> quiet(X0)... | 0 |
Everyone who is not tall is either wise or kind.
Everyone who is both happy and not brave is not kind or wise and vice versa.
If lucy is either calm or patient then someone is brave and vice versa.
Everyone who is both not humble and calm is not happy or tall.
If someone is strong then susan is both not brave and kind ... | Lucy is brave. | contradiction | (![X]:(~tall(X)=>(wise(X)<~>kind(X))))&
(![X]:((happy(X)&~brave(X))<=>(~kind(X)|wise(X))))&
(((calm(lucy)<~>patient(lucy)))<=>(?[X]:(brave(X))))&
(![X]:((~humble(X)&calm(X))=>(~happy(X)|tall(X))))&
((?[X]:(strong(X)))<=>((~brave(susan)&kind(susan))))&
(![X]:((~calm(X)&~patient(X))=>brave(X)))&
(![X]:((~old(X)|~rich(X))... | brave(lucy) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 905054412513959715408996
% SZS output start Proof for 905054412513959715408996
2. ! [X0] : ((~brave(X0) & happy(X0)) <=> (wise(X0) | ~kind(X0))) [input p1]
10. ! [X0] : ((~patient(X0) & kind(X0)) <=> (~brave(X0) <~> patient(X0))) [input p9]
23. brave(lucy) [input hypothesis]
35. ! [X0] : ... | 0 |
Everyone who is either humble or not humble is both not generous and rich.
Everyone who is not happy or not wise is not funny and vice versa.
Everyone who is either not strong or brave is not calm and vice versa.
If john is either not old or not curious then paul is either old or not generous.
Everyone who is either no... | Lucy is generous. | contradiction | (![X]:((humble(X)<~>~humble(X))=>(~generous(X)&rich(X))))&
(![X]:((~happy(X)|~wise(X))<=>~funny(X)))&
(![X]:((~strong(X)<~>brave(X))<=>~calm(X)))&
(((~old(john)<~>~curious(john)))=>((old(paul)<~>~generous(paul))))&
(![X]:((~wise(X)<~>generous(X))=>~calm(X)))&
((?[X]:((tall(X)|~happy(X))))=>(?[X]:((tall(X)|~tall(X)))))&... | generous(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1119485410664777291620580
% SZS output start Proof for 1119485410664777291620580
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (rich(X0) & ~generous(X0))) [input p0]
25. generous(lucy) [input hypothesis]
29. ! [X0] : ((rich(X0) & ~generous(X0)) | (humble(X0) <=> ~humble(X0))) [ennf transfo... | 0 |
Everyone who is funny or not curious is either curious or not quiet and vice versa. Everyone who is both generous and happy is not brave. Everyone who is funny or happy is both calm and not rich and vice versa. Everyone who is both not curious and brave is either quiet or curious and vice versa. If someone is both not ... | Susan is patient. | neutral | (![X]:((funny(X)|~curious(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((generous(X)&happy(X))=>~brave(X)))&
(![X]:((funny(X)|happy(X))<=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&brave(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((creative(alice)<~>wise(alice)))<=>... | patient(susan) | [] | null | 0 |
Everyone who is brave is both not funny and not creative and vice versa.
Everyone who is funny is not happy and vice versa.
If alice is humble then lucy is curious.
If someone is either not kind or not brave then someone is either wise or old and vice versa.
If someone is either not quiet or wise then someone is either... | Susan is not brave. | entailment | (![X]:(brave(X)<=>(~funny(X)&~creative(X))))&
(![X]:(funny(X)<=>~happy(X)))&
((humble(alice))=>(curious(lucy)))&
((?[X]:((~kind(X)<~>~brave(X))))<=>(?[X]:((wise(X)<~>old(X)))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((~funny(X)<~>~brave(X)))))&
((kind(fred))=>((~patient(fred)<~>happy(fred))))&
(![X]:((~generous(X)&~r... | ~brave(susan) | [
"p0",
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4139147549818887317706190
% SZS output start Proof for 4139147549818887317706190
1. ! [X0] : (brave(X0) <=> (~creative(X0) & ~funny(X0))) [input p0]
2. ! [X0] : (funny(X0) <=> ~happy(X0)) [input p1]
9. ! [X0] : ((happy(X0) | ~patient(X0)) => (calm(X0) & ~happy(X0))) [input p8]
24. brave(s... | 0 |
If someone is either not patient or not old then someone is either not quiet or tall. If mary is either not kind or not creative then lucy is happy or funny. Everyone who is not old or not creative is not curious and vice versa. Everyone who is not rich is rich or curious. Everyone who is both not old and tall is both ... | Mary is wise. | contradiction | ((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:((~quiet(X)<~>tall(X)))))&
(((~kind(mary)<~>~creative(mary)))=>((happy(lucy)|funny(lucy))))&
(![X]:((~old(X)|~creative(X))<=>~curious(X)))&
(![X]:(~rich(X)=>(rich(X)|curious(X))))&
(![X]:((~old(X)&tall(X))=>(~calm(X)&rich(X))))&
(![X]:(~happy(X)=>(calm(X)&tall(X))))&
((?[X]:(~ta... | wise(mary) | [
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1140781580992813882526500
% SZS output start Proof for 1140781580992813882526500
6. ! [X0] : (~happy(X0) => (tall(X0) & calm(X0))) [input p5]
8. ? [X0] : (~strong(X0) | ~patient(X0)) => ~calm(mary) [input p7]
9. ! [X0] : (~funny(X0) <=> (~wise(X0) <~> brave(X0))) [input p8]
10. ! [X0] : (... | 0 |
If someone is generous or tall then someone is not calm and vice versa.
If alice is both not strong and not rich then lucy is not kind or not brave and vice versa.
Everyone who is not curious or tall is both not humble and not curious and vice versa.
If someone is both not calm and calm then john is calm or creative an... | Lucy is curious. | entailment | ((?[X]:((generous(X)|tall(X))))<=>(?[X]:(~calm(X))))&
(((~strong(alice)&~rich(alice)))<=>((~kind(lucy)|~brave(lucy))))&
(![X]:((~curious(X)|tall(X))<=>(~humble(X)&~curious(X))))&
((?[X]:((~calm(X)&calm(X))))<=>((calm(john)|creative(john))))&
(![X]:(~humble(X)<=>(~old(X)&wise(X))))&
(![X]:((~strong(X)<~>~tall(X))=>(happ... | curious(lucy) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 945764874000807060677701
% SZS output start Proof for 945764874000807060677701
3. ! [X0] : ((tall(X0) | ~curious(X0)) <=> (~curious(X0) & ~humble(X0))) [input p2]
5. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((~patient(X0) | ~curious(X0)) => (~funny(X0) & old... | 0 |
If lucy is both not wise and not calm then someone is both not funny and not patient. Everyone who is rich is either strong or creative and vice versa. Everyone who is either humble or patient is either quiet or not curious and vice versa. If someone is either not humble or tall then john is quiet and vice versa. Every... | John is wise. | contradiction | (((~wise(lucy)&~calm(lucy)))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:(rich(X)<=>(strong(X)<~>creative(X))))&
(![X]:((humble(X)<~>patient(X))<=>(quiet(X)<~>~curious(X))))&
((?[X]:((~humble(X)<~>tall(X))))<=>(quiet(john)))&
(![X]:(~funny(X)<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>(creative(X)&~funny(... | wise(john) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3408033657785498092268306
% SZS output start Proof for 3408033657785498092268306
4. ? [X0] : (~humble(X0) <~> tall(X0)) <=> quiet(john) [input p3]
5. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~funny(X0) & creative(X0))) [in... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Alice is not wise. | contradiction | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | ~wise(alice) | [
"p1",
"p5",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7969871740073045497202883
% SZS output start Proof for 7969871740073045497202883
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~brave(X0)) <=> (humble(X0) <~> calm... | 0 |
If someone is both old and funny then alice is both strong and not curious.
If lucy is both not calm and not patient then someone is both creative and not old and vice versa.
Everyone who is kind or tall is both not tall and old and vice versa.
Everyone who is quiet is both calm and not funny.
If john is either calm or... | Lucy is patient. | contradiction | ((?[X]:((old(X)&funny(X))))=>((strong(alice)&~curious(alice))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((creative(X)&~old(X)))))&
(![X]:((kind(X)|tall(X))<=>(~tall(X)&old(X))))&
(![X]:(quiet(X)=>(calm(X)&~funny(X))))&
(((calm(john)<~>~happy(john)))=>(?[X]:((humble(X)&creative(X)))))&
(![X]:(~happy(X)<=>(~old(X)<~>fun... | patient(lucy) | [
"p0",
"p1",
"p2",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6985815461464991146455201
% SZS output start Proof for 6985815461464991146455201
1. ? [X0] : (funny(X0) & old(X0)) => (~curious(alice) & strong(alice)) [input p0]
2. (~patient(lucy) & ~calm(lucy)) <=> ? [X0] : (~old(X0) & creative(X0)) [input p1]
3. ! [X0] : ((tall(X0) | kind(X0)) <=> (ol... | 0 |
If fred is not calm then someone is funny or not strong and vice versa.
Everyone who is both rich and wise is not humble and vice versa.
Everyone who is curious is both patient and creative and vice versa.
If john is tall or not curious then someone is both not patient and quiet.
If someone is either not patient or cal... | John is not strong. | neutral | ((~calm(fred))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((rich(X)&wise(X))<=>~humble(X)))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(((tall(john)|~curious(john)))=>(?[X]:((~patient(X)&quiet(X)))))&
((?[X]:((~patient(X)<~>calm(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((rich(X)|humble(X))<=>old(X)))&
(![X... | ~strong(john) | [] | null | 0 |
Everyone who is both brave and humble is calm or not tall.
Everyone who is either not patient or not quiet is not tall or patient and vice versa.
Everyone who is either not curious or strong is either old or happy and vice versa.
Everyone who is either happy or patient is happy or not creative.
If someone is both not c... | John is not happy. | neutral | (![X]:((brave(X)&humble(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~tall(X)|patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(old(X)<~>happy(X))))&
(![X]:((happy(X)<~>patient(X))=>(happy(X)|~creative(X))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~patient(mary)|~funny(mary))))&
(((old(john)|~brave(joh... | ~happy(john) | [] | null | 0 |
If lucy is either humble or wise then mary is either curious or not curious. If mary is either not humble or wise then john is either humble or strong and vice versa. Everyone who is funny or kind is kind and vice versa. If someone is either happy or not old then someone is either not old or not brave and vice versa. E... | Susan is creative. | neutral | (((humble(lucy)<~>wise(lucy)))=>((curious(mary)<~>~curious(mary))))&
(((~humble(mary)<~>wise(mary)))<=>((humble(john)<~>strong(john))))&
(![X]:((funny(X)|kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>... | creative(susan) | [] | null | 0 |
If someone is not calm then fred is either not brave or not kind. Everyone who is not rich or kind is not tall. If someone is not generous or not rich then paul is either funny or not kind. Everyone who is not wise or patient is either not curious or quiet. Everyone who is brave or old is not brave or funny and vice ve... | Alice is calm. | entailment | ((?[X]:(~calm(X)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~rich(X)|kind(X))=>~tall(X)))&
((?[X]:((~generous(X)|~rich(X))))=>((funny(paul)<~>~kind(paul))))&
(![X]:((~wise(X)|patient(X))=>(~curious(X)<~>quiet(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)|funny(X))))&
(![X]:((old(X)&wise(X))<=>~brave(X)))&
((?[X]:((wise... | calm(alice) | [
"p4",
"p10",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8569955063429285214452474
% SZS output start Proof for 8569955063429285214452474
5. ! [X0] : ((old(X0) | brave(X0)) <=> (funny(X0) | ~brave(X0))) [input p4]
11. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (~kind(X0) & ~old(X0))) [input p10]
15. ! [X0] : (~kind(X0) => (~calm(X0) <~> quiet(X0)... | 0 |
Everyone who is not happy or brave is not patient and vice versa.
If mary is curious or not rich then fred is either not calm or humble and vice versa.
Everyone who is either not patient or generous is either tall or wise and vice versa.
If someone is both calm and not generous then fred is both patient and funny.
Ever... | Lucy is humble. | entailment | (![X]:((~happy(X)|brave(X))<=>~patient(X)))&
(((curious(mary)|~rich(mary)))<=>((~calm(fred)<~>humble(fred))))&
(![X]:((~patient(X)<~>generous(X))<=>(tall(X)<~>wise(X))))&
((?[X]:((calm(X)&~generous(X))))=>((patient(fred)&funny(fred))))&
(![X]:((~generous(X)<~>happy(X))<=>~tall(X)))&
((tall(lucy))<=>(?[X]:((~tall(X)<~>k... | humble(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5971949781392211212668642
% SZS output start Proof for 5971949781392211212668642
8. ! [X0] : ((~kind(X0) & humble(X0)) <=> (calm(X0) | ~calm(X0))) [input p7]
25. ~humble(lucy) [input hypothesis]
46. ! [X0] : (((~kind(X0) & humble(X0)) | (~calm(X0) & calm(X0))) & ((calm(X0) | ~calm(X0)) | ... | 0 |
If alice is strong then lucy is either happy or rich.
If paul is not curious then john is patient and vice versa.
If paul is not strong or wise then someone is funny or humble.
If someone is not wise then someone is both tall and not generous and vice versa.
If someone is both wise and not tall then alice is not kind o... | John is generous. | entailment | ((strong(alice))=>((happy(lucy)<~>rich(lucy))))&
((~curious(paul))<=>(patient(john)))&
(((~strong(paul)|wise(paul)))=>(?[X]:((funny(X)|humble(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((tall(X)&~generous(X)))))&
((?[X]:((wise(X)&~tall(X))))<=>((~kind(alice)|~curious(alice))))&
((?[X]:((calm(X)|~quiet(X))))<=>((~wise(lucy)<~>k... | generous(john) | [
"p6",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6894078032312998387999990
% SZS output start Proof for 6894078032312998387999990
7. (~kind(john) & ~calm(john)) <=> (brave(john) | ~humble(john)) [input p6]
15. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (~kind(X0) | ~patient(X0))) [input p14]
16. ! [X0] : ((kind(X0) & patient(X0)) <=>... | 0 |
If john is happy or old then someone is creative.
Everyone who is rich is not kind or not generous.
Everyone who is both humble and not kind is both strong and curious and vice versa.
Everyone who is either brave or quiet is not patient and vice versa.
Everyone who is either strong or not patient is both patient and st... | Mary is not curious. | neutral | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(rich(X)=>(~kind(X)|~generous(X))))&
(![X]:((humble(X)&~kind(X))<=>(strong(X)&curious(X))))&
(![X]:((brave(X)<~>quiet(X))<=>~patient(X)))&
(![X]:((strong(X)<~>~patient(X))=>(patient(X)&strong(X))))&
((~happy(alice))<=>(?[X]:((~old(X)|tall(X)))))&
(![X]:((strong(X... | ~curious(mary) | [] | null | 0 |
Everyone who is strong or kind is both not humble and not funny and vice versa.
If someone is either not humble or old then someone is both kind and not generous and vice versa.
If someone is both tall and brave then someone is generous or not wise and vice versa.
If fred is not creative or strong then alice is both ki... | Fred is not kind. | entailment | (![X]:((strong(X)|kind(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((~humble(X)<~>old(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((tall(X)&brave(X))))<=>(?[X]:((generous(X)|~wise(X)))))&
(((~creative(fred)|strong(fred)))=>((kind(alice)&~tall(alice))))&
(![X]:(~kind(X)<=>~humble(X)))&
(![X]:(humble(X)=>(strong(X)|~calm... | ~kind(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1051597004531501865132433
% SZS output start Proof for 1051597004531501865132433
1. ! [X0] : ((kind(X0) | strong(X0)) <=> (~funny(X0) & ~humble(X0))) [input p0]
5. ! [X0] : (~kind(X0) <=> ~humble(X0)) [input p4]
22. kind(fred) [input hypothesis]
36. ! [X0] : (((kind(X0) | strong(X0)) | (f... | 0 |
Everyone who is kind is both not old and humble and vice versa.
Everyone who is both calm and rich is quiet.
If someone is either not brave or tall then someone is not wise.
Everyone who is both not funny and humble is brave.
Everyone who is both not quiet and quiet is funny or humble and vice versa.
Everyone who is ei... | Paul is not patient. | neutral | (![X]:(kind(X)<=>(~old(X)&humble(X))))&
(![X]:((calm(X)&rich(X))=>quiet(X)))&
((?[X]:((~brave(X)<~>tall(X))))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)&humble(X))=>brave(X)))&
(![X]:((~quiet(X)&quiet(X))<=>(funny(X)|humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(~wise(X)&curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:(bra... | ~patient(paul) | [] | null | 0 |
If someone is both strong and happy then paul is either not funny or kind and vice versa.
If someone is both patient and not happy then lucy is curious or humble and vice versa.
Everyone who is not quiet or happy is either not rich or brave.
Everyone who is both not happy and not generous is generous or not generous an... | Alice is quiet. | contradiction | ((?[X]:((strong(X)&happy(X))))<=>((~funny(paul)<~>kind(paul))))&
((?[X]:((patient(X)&~happy(X))))<=>((curious(lucy)|humble(lucy))))&
(![X]:((~quiet(X)|happy(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~generous(X))<=>(generous(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))=>((creative(alice)<~>~quiet(alice... | quiet(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 66794187423880830323540
% SZS output start Proof for 66794187423880830323540
13. ! [X0] : ((~patient(X0) <~> patient(X0)) => (~quiet(X0) & ~old(X0))) [input p12]
22. quiet(alice) [input hypothesis]
26. ! [X0] : ((~quiet(X0) & ~old(X0)) | (~patient(X0) <=> patient(X0))) [ennf transformatio... | 0 |
Everyone who is wise is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is curious or creative is tall.
Everyone who is generous is curious and vice versa... | Lucy is strong. | neutral | (![X]:(wise(X)<=>(tall(X)&~rich(X))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:((~generous(X)&~calm(X))<=>(~happy(X)|~generous(X))))&
(![... | strong(lucy) | [] | null | 0 |
If paul is not funny then lucy is not funny and vice versa.
If john is not calm then mary is not patient or curious.
Everyone who is either not kind or not happy is calm and vice versa.
Everyone who is old is not calm or not kind.
Everyone who is brave is either brave or happy and vice versa.
Everyone who is patient is... | John is calm. | neutral | ((~funny(paul))<=>(~funny(lucy)))&
((~calm(john))=>((~patient(mary)|curious(mary))))&
(![X]:((~kind(X)<~>~happy(X))<=>calm(X)))&
(![X]:(old(X)=>(~calm(X)|~kind(X))))&
(![X]:(brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:(patient(X)=>(~patient(X)|~wise(X))))&
(![X]:(funny(X)=>(curious(X)<~>~patient(X))))&
(((~happy(lucy)|ki... | calm(john) | [] | null | 0 |
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