premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both creative and brave is both not strong and calm.
If paul is quiet or not old then someone is both tall and calm and vice versa.
If someone is not creative then someone is either generous or tall and vice versa.
Everyone who is creative or not wise is both not kind and not brave and vice versa.
If so... | Paul is humble. | neutral | (![X]:((creative(X)&brave(X))=>(~strong(X)&calm(X))))&
(((quiet(paul)|~old(paul)))<=>(?[X]:((tall(X)&calm(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((creative(X)|~wise(X))<=>(~kind(X)&~brave(X))))&
((?[X]:((~calm(X)|quiet(X))))=>(?[X]:((curious(X)<~>brave(X)))))&
(![X]:(generous(X)<=>old... | humble(paul) | [] | null | 0 |
Everyone who is either old or not brave is brave and vice versa. Everyone who is both not strong and not old is both not kind and not funny. Everyone who is kind or wise is either not brave or humble. If someone is not patient or not brave then mary is either not tall or not curious and vice versa. If someone is not br... | Lucy is brave. | contradiction | (![X]:((old(X)<~>~brave(X))<=>brave(X)))&
(![X]:((~strong(X)&~old(X))=>(~kind(X)&~funny(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((~patient(X)|~brave(X))))<=>((~tall(mary)<~>~curious(mary))))&
((?[X]:(~brave(X)))=>(?[X]:((funny(X)|~happy(X)))))&
(((~creative(mary)|~tall(mary)))=>(~creative(sus... | brave(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1752895476555338383689622
% SZS output start Proof for 1752895476555338383689622
15. ! [X0] : ((brave(X0) | old(X0)) => ~brave(X0)) [input p14]
25. brave(lucy) [input hypothesis]
39. ! [X0] : (~brave(X0) | (~brave(X0) & ~old(X0))) [ennf transformation 15]
117. ~brave(X0) | ~brave(X0) [cnf... | 0 |
Everyone who is either not brave or old is not kind or tall and vice versa.
If someone is quiet or wise then someone is not quiet and vice versa.
If someone is both happy and not tall then lucy is calm.
If someone is either funny or not humble then someone is creative or tall.
Everyone who is humble or curious is both ... | Fred is wise. | entailment | (![X]:((~brave(X)<~>old(X))<=>(~kind(X)|tall(X))))&
((?[X]:((quiet(X)|wise(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((happy(X)&~tall(X))))=>(calm(lucy)))&
((?[X]:((funny(X)<~>~humble(X))))=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~... | wise(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8152047349685111051531343
% SZS output start Proof for 8152047349685111051531343
14. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p13]
24. ~wise(fred) [input hypothesis]
59. ! [X0] : ((~wise(X0) | (~wise(X0) | ~tall(X0))) & ((wise(X0) & tall(X0)) | wise(X0))) [nnf transformation ... | 0 |
Everyone who is both not wise and not brave is old and vice versa.
Everyone who is both not brave and patient is either not patient or not calm.
If fred is not patient then john is both funny and old.
If someone is either quiet or happy then alice is not strong and vice versa.
If lucy is both not strong and old then so... | Paul is not kind. | neutral | (![X]:((~wise(X)&~brave(X))<=>old(X)))&
(![X]:((~brave(X)&patient(X))=>(~patient(X)<~>~calm(X))))&
((~patient(fred))=>((funny(john)&old(john))))&
((?[X]:((quiet(X)<~>happy(X))))<=>(~strong(alice)))&
(((~strong(lucy)&old(lucy)))=>(?[X]:((~generous(X)&~kind(X)))))&
(((~calm(john)<~>creative(john)))<=>(?[X]:((~curious(X)<... | ~kind(paul) | [] | null | 0 |
If someone is both old and brave then someone is both funny and not humble. If someone is both not patient and not creative then paul is kind or creative and vice versa. If someone is either happy or not wise then alice is either not quiet or not creative. If someone is not creative then mary is not happy. Everyone who... | Lucy is funny. | neutral | ((?[X]:((old(X)&brave(X))))=>(?[X]:((funny(X)&~humble(X)))))&
((?[X]:((~patient(X)&~creative(X))))<=>((kind(paul)|creative(paul))))&
((?[X]:((happy(X)<~>~wise(X))))=>((~quiet(alice)<~>~creative(alice))))&
((?[X]:(~creative(X)))=>(~happy(mary)))&
(![X]:((calm(X)&strong(X))=>(~humble(X)&~strong(X))))&
(![X]:((~strong(X)<... | funny(lucy) | [] | null | 0 |
Everyone who is rich is either not quiet or quiet and vice versa. If someone is brave or tall then someone is either quiet or calm. Everyone who is either not funny or not rich is not creative and vice versa. If someone is either rich or not calm then someone is either not brave or not humble and vice versa. If someone... | Paul is not strong. | contradiction | (![X]:(rich(X)<=>(~quiet(X)<~>quiet(X))))&
((?[X]:((brave(X)|tall(X))))=>(?[X]:((quiet(X)<~>calm(X)))))&
(![X]:((~funny(X)<~>~rich(X))<=>~creative(X)))&
((?[X]:((rich(X)<~>~calm(X))))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
((?[X]:((happy(X)<~>~funny(X))))=>(?[X]:((happy(X)|~kind(X)))))&
(![X]:(humble(X)=>(~humble(X)&kin... | ~strong(paul) | [
"p0",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6772034157142956828265447
% SZS output start Proof for 6772034157142956828265447
1. ! [X0] : (rich(X0) <=> (~quiet(X0) <~> quiet(X0))) [input p0]
3. ! [X0] : ((~funny(X0) <~> ~rich(X0)) <=> ~creative(X0)) [input p2]
7. ! [X0] : ((~curious(X0) & old(X0)) <=> curious(X0)) [input p6]
10. ! [... | 0 |
Everyone who is either humble or strong is calm and vice versa. Everyone who is both calm and not patient is brave. Everyone who is both not calm and rich is not happy or old and vice versa. If someone is not tall then someone is creative or not rich. Everyone who is either generous or not funny is both not quiet and c... | Alice is strong. | neutral | (![X]:((humble(X)<~>strong(X))<=>calm(X)))&
(![X]:((calm(X)&~patient(X))=>brave(X)))&
(![X]:((~calm(X)&rich(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((generous(X)<~>~funny(X))=>(~quiet(X)&curious(X))))&
(![X]:((~old(X)<~>~curious(X))<=>patient(X)))&
((?[X]:(patient(X)))<=>... | strong(alice) | [] | null | 0 |
If alice is either not generous or strong then someone is funny.
If someone is both generous and not humble then paul is not patient.
Everyone who is happy or not happy is not generous.
If fred is both not rich and curious then someone is not brave and vice versa.
If paul is either funny or happy then fred is generous ... | Susan is kind. | contradiction | (((~generous(alice)<~>strong(alice)))=>(?[X]:(funny(X))))&
((?[X]:((generous(X)&~humble(X))))=>(~patient(paul)))&
(![X]:((happy(X)|~happy(X))=>~generous(X)))&
(((~rich(fred)&curious(fred)))<=>(?[X]:(~brave(X))))&
(((funny(paul)<~>happy(paul)))=>((generous(fred)|wise(fred))))&
(![X]:((~humble(X)|~happy(X))<=>~brave(X)))... | kind(susan) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 602714614351429164122911
% SZS output start Proof for 602714614351429164122911
6. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> ~brave(X0)) [input p5]
15. ! [X0] : (kind(X0) => (brave(X0) & ~happy(X0))) [input p14]
23. kind(susan) [input hypothesis]
41. ! [X0] : ((brave(X0) & ~happy(X0)) | ~ki... | 0 |
If someone is not generous or not brave then lucy is either brave or not humble and vice versa.
If fred is brave then someone is not wise.
If mary is rich or humble then someone is not funny or not tall.
Everyone who is not brave is kind and vice versa.
Everyone who is both rich and not calm is not wise or humble and v... | John is quiet. | entailment | ((?[X]:((~generous(X)|~brave(X))))<=>((brave(lucy)<~>~humble(lucy))))&
((brave(fred))=>(?[X]:(~wise(X))))&
(((rich(mary)|humble(mary)))=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:((rich(X)&~calm(X))<=>(~wise(X)|humble(X))))&
((~patient(susan))<=>((~funny(lucy)<~>~brave(lucy))))&
((?[X]:((funny... | quiet(john) | [
"p3",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 287195984463780564654900
% SZS output start Proof for 287195984463780564654900
4. ! [X0] : (~brave(X0) <=> kind(X0)) [input p3]
9. ! [X0] : ((~tall(X0) | ~quiet(X0)) => (~brave(X0) <~> ~strong(X0))) [input p8]
18. kind(john) & ~strong(john) [input p17]
24. ~quiet(john) [input hypothesis]
... | 0 |
Everyone who is both not generous and funny is either generous or not funny. Everyone who is either kind or not funny is not calm or funny and vice versa. If someone is not humble or old then someone is creative. If john is either not curious or not happy then susan is either not generous or not humble. Everyone who is... | Fred is not curious. | entailment | (![X]:((~generous(X)&funny(X))=>(generous(X)<~>~funny(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(~calm(X)|funny(X))))&
((?[X]:((~humble(X)|old(X))))=>(?[X]:(creative(X))))&
(((~curious(john)<~>~happy(john)))=>((~generous(susan)<~>~humble(susan))))&
(![X]:((strong(X)&~quiet(X))=>~tall(X)))&
(![X]:((humble(X)&~curious(X))<=>... | ~curious(fred) | [
"p0",
"p5",
"p8",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2660310003829972219665248
% SZS output start Proof for 2660310003829972219665248
1. ! [X0] : ((funny(X0) & ~generous(X0)) => (generous(X0) <~> ~funny(X0))) [input p0]
6. ! [X0] : ((~curious(X0) & humble(X0)) <=> (generous(X0) <~> strong(X0))) [input p5]
9. ! [X0] : ((funny(X0) <~> ~strong... | 0 |
If someone is not humble then someone is either not old or not generous and vice versa.
Everyone who is either strong or old is both not creative and tall and vice versa.
If someone is both calm and not old then alice is either not curious or not rich and vice versa.
Everyone who is both old and generous is strong or r... | Susan is kind. | neutral | ((?[X]:(~humble(X)))<=>(?[X]:((~old(X)<~>~generous(X)))))&
(![X]:((strong(X)<~>old(X))<=>(~creative(X)&tall(X))))&
((?[X]:((calm(X)&~old(X))))<=>((~curious(alice)<~>~rich(alice))))&
(![X]:((old(X)&generous(X))<=>(strong(X)|rich(X))))&
(![X]:(~creative(X)=>(~patient(X)&~funny(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>(... | kind(susan) | [] | null | 0 |
Everyone who is either quiet or calm is both creative and generous and vice versa.
Everyone who is both kind and not brave is either not kind or tall.
Everyone who is either not rich or happy is both not generous and not calm.
If john is either not quiet or not tall then mary is both not brave and not humble.
Everyone ... | Paul is wise. | neutral | (![X]:((quiet(X)<~>calm(X))<=>(creative(X)&generous(X))))&
(![X]:((kind(X)&~brave(X))=>(~kind(X)<~>tall(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~generous(X)&~calm(X))))&
(((~quiet(john)<~>~tall(john)))=>((~brave(mary)&~humble(mary))))&
(![X]:((wise(X)&calm(X))=>(~humble(X)|calm(X))))&
((?[X]:((brave(X)&~patient(X))))<=>(... | wise(paul) | [] | null | 0 |
Everyone who is not humble is generous. If someone is either tall or not funny then alice is wise or not patient. Everyone who is both not curious and humble is both not generous and brave and vice versa. If someone is either not brave or not tall then lucy is either not kind or not patient. If someone is curious then ... | Paul is wise. | neutral | (![X]:(~humble(X)=>generous(X)))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(curious(X)))<=>((funny(fred)&~curious(fred))))&
(((creative(fred)|~strong(fred)))<... | wise(paul) | [] | null | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | John is not humble. | contradiction | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | ~humble(john) | [
"p4",
"p8",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 113863652357324075679408
% SZS output start Proof for 113863652357324075679408
5. ! [X0] : ((~rich(X0) & ~patient(X0)) <=> (creative(X0) <~> humble(X0))) [input p4]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
15. ! [X0] : ((calm(X0) | happy(X0)) => (~wise(X0) & creative(X0))) [input ... | 0 |
If someone is either creative or tall then someone is strong or tall.
Everyone who is not kind or not curious is both generous and wise and vice versa.
If someone is both old and calm then someone is both wise and generous and vice versa.
Everyone who is not kind or creative is funny or patient.
Everyone who is both ge... | Paul is not patient. | neutral | ((?[X]:((creative(X)<~>tall(X))))=>(?[X]:((strong(X)|tall(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(generous(X)&wise(X))))&
((?[X]:((old(X)&calm(X))))<=>(?[X]:((wise(X)&generous(X)))))&
(![X]:((~kind(X)|creative(X))=>(funny(X)|patient(X))))&
(![X]:((generous(X)&~tall(X))<=>(generous(X)<~>~funny(X))))&
((old(fred))<=>((c... | ~patient(paul) | [] | null | 0 |
If paul is not strong then someone is both strong and funny and vice versa. Everyone who is either not rich or calm is either patient or not humble. Everyone who is either not tall or creative is generous or creative and vice versa. Everyone who is both calm and humble is not brave and vice versa. Everyone who is both ... | Susan is funny. | contradiction | ((~strong(paul))<=>(?[X]:((strong(X)&funny(X)))))&
(![X]:((~rich(X)<~>calm(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(generous(X)|creative(X))))&
(![X]:((calm(X)&humble(X))<=>~brave(X)))&
(![X]:((~calm(X)&funny(X))<=>(curious(X)&~patient(X))))&
((~old(fred))=>(?[X]:((~patient(X)<~>~wise(X)))))... | funny(susan) | [
"p3",
"p4",
"p10",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6821163788310576950625406
% SZS output start Proof for 6821163788310576950625406
4. ! [X0] : ((humble(X0) & calm(X0)) <=> ~brave(X0)) [input p3]
5. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (~patient(X0) & curious(X0))) [input p4]
11. ? [X0] : (~humble(X0) | ~tall(X0)) <=> (~funny(susan) | ~c... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is not old then fred is either not humble or not happy. If lucy is either generous or not funny then someone is quiet. If lucy is rich then someone is both wise and not brave. Everyone who i... | Lucy is not happy. | entailment | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((~old(john))=>((~humble(fred)<~>~happy(fred))))&
(((generous(lucy)<~>~funny(lucy)))=>(?[X]:(quiet(X))))&
((rich(lucy))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((happy(X)|~strong(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:(creative(X)... | ~happy(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3545876538847440947470807
% SZS output start Proof for 3545876538847440947470807
2. ! [X0] : (~curious(X0) <=> ~old(X0)) [input p1]
6. ! [X0] : ((~strong(X0) | happy(X0)) <=> (quiet(X0) <~> curious(X0))) [input p5]
8. (generous(fred) & curious(fred)) <=> ? [X0] : ~quiet(X0) [input p7]
9. ... | 0 |
Everyone who is creative or brave is both not tall and not creative and vice versa.
Everyone who is both not kind and humble is either strong or not patient.
Everyone who is either strong or not calm is strong.
Everyone who is either not humble or calm is not curious or calm.
If susan is either not quiet or not humble ... | Susan is not humble. | entailment | (![X]:((creative(X)|brave(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~kind(X)&humble(X))=>(strong(X)<~>~patient(X))))&
(![X]:((strong(X)<~>~calm(X))=>strong(X)))&
(![X]:((~humble(X)<~>calm(X))=>(~curious(X)|calm(X))))&
(((~quiet(susan)<~>~humble(susan)))<=>((~strong(susan)<~>~generous(susan))))&
(![X]:((~kind(X)|~old(X))... | ~humble(susan) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 684370004649459735762453
% SZS output start Proof for 684370004649459735762453
5. (~quiet(susan) <~> ~humble(susan)) <=> (~strong(susan) <~> ~generous(susan)) [input p4]
6. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (old(X0) & ~funny(X0))) [input p5]
7. ! [X0] : (~quiet(X0) <=> ~rich(X0)) [inpu... | 0 |
If someone is both not funny and happy then paul is creative and vice versa.
Everyone who is either creative or not quiet is either not brave or not curious and vice versa.
Everyone who is not generous is wise or creative and vice versa.
Everyone who is not wise or not humble is not funny and vice versa.
If someone is ... | Lucy is calm. | neutral | ((?[X]:((~funny(X)&happy(X))))<=>(creative(paul)))&
(![X]:((creative(X)<~>~quiet(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:(~generous(X)<=>(wise(X)|creative(X))))&
(![X]:((~wise(X)|~humble(X))<=>~funny(X)))&
((?[X]:(kind(X)))=>(?[X]:((~tall(X)|generous(X)))))&
(![X]:((~funny(X)|~humble(X))=>(~generous(X)|humble(X))))&
(... | calm(lucy) | [] | null | 0 |
Everyone who is not tall or happy is not brave.
Everyone who is not creative or brave is either not creative or funny and vice versa.
If someone is not humble then someone is both not patient and not brave and vice versa.
Everyone who is not humble is both not funny and quiet and vice versa.
Everyone who is both not ge... | Mary is quiet. | entailment | (![X]:((~tall(X)|happy(X))=>~brave(X)))&
(![X]:((~creative(X)|brave(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:(~humble(X)<=>(~funny(X)&quiet(X))))&
(![X]:((~generous(X)&~creative(X))=>(~kind(X)|~rich(X))))&
(![X]:((kind(X)&~old(X))=>(~generous(X)<~>quiet(X))))&
(... | quiet(mary) | [
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2476822143293129798748163
% SZS output start Proof for 2476822143293129798748163
4. ! [X0] : (~humble(X0) <=> (quiet(X0) & ~funny(X0))) [input p3]
12. ? [X0] : (happy(X0) | curious(X0)) <=> ? [X0] : (strong(X0) & ~strong(X0)) [input p11]
15. (~humble(mary) & generous(mary)) <=> ? [X0] : (... | 0 |
Everyone who is calm is both not happy and not kind and vice versa. Everyone who is not humble or calm is either not funny or not creative. If someone is both funny and not strong then susan is either not humble or curious. Everyone who is funny is not quiet or not tall and vice versa. Everyone who is both not kind and... | Mary is funny. | entailment | (![X]:(calm(X)<=>(~happy(X)&~kind(X))))&
(![X]:((~humble(X)|calm(X))=>(~funny(X)<~>~creative(X))))&
((?[X]:((funny(X)&~strong(X))))=>((~humble(susan)<~>curious(susan))))&
(![X]:(funny(X)<=>(~quiet(X)|~tall(X))))&
(![X]:((~kind(X)&funny(X))=>(~old(X)<~>quiet(X))))&
(![X]:(quiet(X)=>(~funny(X)<~>~rich(X))))&
((?[X]:((~st... | funny(mary) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4133980761907740190359990
% SZS output start Proof for 4133980761907740190359990
4. ! [X0] : (funny(X0) <=> (~tall(X0) | ~quiet(X0))) [input p3]
8. ! [X0] : ((quiet(X0) | calm(X0)) <=> (patient(X0) & ~patient(X0))) [input p7]
25. ~funny(mary) [input hypothesis]
45. ! [X0] : ((funny(X0) | ... | 0 |
Everyone who is either happy or funny is wise and vice versa.
Everyone who is either not happy or not funny is generous and vice versa.
If paul is not quiet then fred is either not humble or not strong.
Everyone who is either not calm or quiet is either brave or not happy and vice versa.
Everyone who is not curious or ... | Fred is not generous. | contradiction | (![X]:((happy(X)<~>funny(X))<=>wise(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>generous(X)))&
((~quiet(paul))=>((~humble(fred)<~>~strong(fred))))&
(![X]:((~calm(X)<~>quiet(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)&calm(X))))&
((~strong(susan))<=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~cal... | ~generous(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4766530205612118061824811
% SZS output start Proof for 4766530205612118061824811
1. ! [X0] : ((happy(X0) <~> funny(X0)) <=> wise(X0)) [input p0]
2. ! [X0] : ((~happy(X0) <~> ~funny(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (brave(X0) <~> ~happy(X0))) [in... | 0 |
Everyone who is not rich is not calm or brave.
If someone is either not patient or not strong then someone is generous.
If someone is quiet then someone is generous and vice versa.
If paul is both creative and calm then someone is not generous.
Everyone who is not curious or not brave is not brave or quiet and vice ver... | Lucy is not old. | entailment | (![X]:(~rich(X)=>(~calm(X)|brave(X))))&
((?[X]:((~patient(X)<~>~strong(X))))=>(?[X]:(generous(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(generous(X))))&
(((creative(paul)&calm(paul)))=>(?[X]:(~generous(X))))&
(![X]:((~curious(X)|~brave(X))<=>(~brave(X)|quiet(X))))&
(![X]:((~tall(X)|~generous(X))=>(rich(X)<~>old(X))))&
(![X]:(~... | ~old(lucy) | [
"p5",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 10586981170367433715008
% SZS output start Proof for 10586981170367433715008
6. ! [X0] : ((~generous(X0) | ~tall(X0)) => (rich(X0) <~> old(X0))) [input p5]
12. ! [X0] : ((~happy(X0) & calm(X0)) <=> tall(X0)) [input p11]
14. ! [X0] : ((tall(X0) | ~old(X0)) => funny(X0)) [input p13]
16. ! [... | 0 |
Everyone who is not quiet or humble is either not quiet or calm and vice versa. Everyone who is either wise or not humble is either not generous or wise and vice versa. Everyone who is not old or generous is either tall or wise and vice versa. Everyone who is not generous or generous is not old and vice versa. Everyone... | Susan is humble. | entailment | (![X]:((~quiet(X)|humble(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((wise(X)<~>~humble(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((generous(X)<~>calm(X))<=>(~kind(X)<~>... | humble(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8807956177035992277611677
% SZS output start Proof for 8807956177035992277611677
1. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~generous(X0) <~> wise(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~old(X0)) <=>... | 0 |
Everyone who is creative or strong is strong or patient and vice versa.
Everyone who is both not kind and kind is either patient or creative.
Everyone who is not kind is not rich.
Everyone who is both happy and not old is not calm and vice versa.
Everyone who is happy is both not creative and brave and vice versa.
If j... | Paul is not brave. | contradiction | (![X]:((creative(X)|strong(X))<=>(strong(X)|patient(X))))&
(![X]:((~kind(X)&kind(X))=>(patient(X)<~>creative(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind(john)<~>calm(john)))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)|~calm(X))<=>(funny(... | ~brave(paul) | [
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6060078848411174377702493
% SZS output start Proof for 6060078848411174377702493
4. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p3]
5. ! [X0] : (happy(X0) <=> (brave(X0) & ~creative(X0))) [input p4]
21. tall(paul) & ~calm(paul) [input p20]
25. ~brave(paul) [input hypothesis]
39... | 0 |
Everyone who is both generous and not patient is both calm and humble. If someone is either not kind or quiet then lucy is either not wise or curious. Everyone who is both not curious and curious is both not happy and funny. If someone is either calm or not generous then alice is not humble and vice versa. Everyone who... | Fred is not strong. | neutral | (![X]:((generous(X)&~patient(X))=>(calm(X)&humble(X))))&
((?[X]:((~kind(X)<~>quiet(X))))=>((~wise(lucy)<~>curious(lucy))))&
(![X]:((~curious(X)&curious(X))=>(~happy(X)&funny(X))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(~humble(alice)))&
(![X]:(brave(X)<=>(~rich(X)&~happy(X))))&
(((generous(john)&~strong(john)))<=>(?[X]... | ~strong(fred) | [] | null | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If someone is either not quiet or humble then john is patient and vice versa.
If paul is either not funny or wise then someone is not curious and vice versa.
Everyone who is both not calm and generous is not strong and vice versa.
If fred is both no... | Paul is funny. | entailment | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(patient(john)))&
(((~funny(paul)<~>wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~calm(X)&generous(X))<=>~strong(X)))&
(((~creative(fred)&~generous(fred)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(tall(X)|~creative(X))))&
(... | funny(paul) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8724212782946169970337817
% SZS output start Proof for 8724212782946169970337817
3. (~funny(paul) <~> wise(paul)) <=> ? [X0] : ~curious(X0) [input p2]
8. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [i... | 0 |
Everyone who is both not tall and not humble is quiet and vice versa.
If fred is creative or not creative then someone is not humble or curious and vice versa.
If susan is not tall or curious then someone is not generous or not creative and vice versa.
Everyone who is either patient or happy is either not curious or ta... | Alice is brave. | entailment | (![X]:((~tall(X)&~humble(X))<=>quiet(X)))&
(((creative(fred)|~creative(fred)))<=>(?[X]:((~humble(X)|curious(X)))))&
(((~tall(susan)|curious(susan)))<=>(?[X]:((~generous(X)|~creative(X)))))&
(![X]:((patient(X)<~>happy(X))<=>(~curious(X)<~>tall(X))))&
(![X]:((strong(X)&~calm(X))=>(~calm(X)<~>quiet(X))))&
(![X]:((~calm(X)... | brave(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8709505187823124454629364
% SZS output start Proof for 8709505187823124454629364
9. ! [X0] : (brave(X0) <=> (~brave(X0) | ~calm(X0))) [input p8]
25. ~brave(alice) [input hypothesis]
56. ! [X0] : ((brave(X0) | (brave(X0) & calm(X0))) & ((~brave(X0) | ~calm(X0)) | ~brave(X0))) [nnf transfor... | 0 |
Everyone who is both funny and wise is not strong and vice versa.
If someone is both not funny and creative then john is curious or brave and vice versa.
If someone is happy or not strong then someone is not creative or humble and vice versa.
If fred is kind or brave then someone is either not brave or funny.
If fred i... | Lucy is not strong. | contradiction | (![X]:((funny(X)&wise(X))<=>~strong(X)))&
((?[X]:((~funny(X)&creative(X))))<=>((curious(john)|brave(john))))&
((?[X]:((happy(X)|~strong(X))))<=>(?[X]:((~creative(X)|humble(X)))))&
(((kind(fred)|brave(fred)))=>(?[X]:((~brave(X)<~>funny(X)))))&
(((curious(fred)<~>calm(fred)))<=>(~generous(alice)))&
(![X]:((~creative(X)|t... | ~strong(lucy) | [
"p0",
"p13",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2836158988483391311595217
% SZS output start Proof for 2836158988483391311595217
1. ! [X0] : ((wise(X0) & funny(X0)) <=> ~strong(X0)) [input p0]
14. ! [X0] : ((wise(X0) <~> ~funny(X0)) => (~quiet(X0) <~> ~curious(X0))) [input p13]
16. (funny(john) & ~rich(john)) <=> ? [X0] : (~wise(X0) <~... | 0 |
Everyone who is wise or not creative is not kind. Everyone who is not generous is strong. If someone is not generous or curious then fred is either not wise or not old. Everyone who is either old or tall is either creative or not strong. If mary is both not humble and not funny then fred is either not humble or not qui... | Mary is not humble. | neutral | (![X]:((wise(X)|~creative(X))=>~kind(X)))&
(![X]:(~generous(X)=>strong(X)))&
((?[X]:((~generous(X)|curious(X))))=>((~wise(fred)<~>~old(fred))))&
(![X]:((old(X)<~>tall(X))=>(creative(X)<~>~strong(X))))&
(((~humble(mary)&~funny(mary)))=>((~humble(fred)<~>~quiet(fred))))&
(((~curious(alice)<~>~kind(alice)))<=>((~brave(joh... | ~humble(mary) | [] | null | 0 |
If susan is not tall then fred is not strong and vice versa.
Everyone who is both not generous and happy is generous or happy.
If lucy is not rich then someone is quiet or not generous and vice versa.
If paul is wise or not funny then fred is either not kind or humble.
Everyone who is either not patient or not funny is... | Fred is quiet. | neutral | ((~tall(susan))<=>(~strong(fred)))&
(![X]:((~generous(X)&happy(X))=>(generous(X)|happy(X))))&
((~rich(lucy))<=>(?[X]:((quiet(X)|~generous(X)))))&
(((wise(paul)|~funny(paul)))=>((~kind(fred)<~>humble(fred))))&
(![X]:((~patient(X)<~>~funny(X))<=>brave(X)))&
(![X]:((~old(X)<~>~creative(X))<=>~creative(X)))&
(![X]:((~wise(... | quiet(fred) | [] | null | 0 |
Everyone who is both funny and not strong is not funny or calm.
Everyone who is curious or not humble is not rich.
Everyone who is rich is not tall and vice versa.
If someone is both not quiet and strong then someone is not patient or not old.
Everyone who is not rich or old is either strong or not calm.
Everyone who i... | Paul is strong. | entailment | (![X]:((funny(X)&~strong(X))=>(~funny(X)|calm(X))))&
(![X]:((curious(X)|~humble(X))=>~rich(X)))&
(![X]:(rich(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:((~rich(X)|old(X))=>(strong(X)<~>~calm(X))))&
(![X]:((kind(X)|~generous(X))=>(~calm(X)<~>~funny(X))))&
(![X]:((~kind(X)|ca... | strong(paul) | [
"p0",
"p1",
"p4",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4110242483989338381624225
% SZS output start Proof for 4110242483989338381624225
1. ! [X0] : ((~strong(X0) & funny(X0)) => (calm(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | curious(X0)) => ~rich(X0)) [input p1]
5. ! [X0] : ((old(X0) | ~rich(X0)) => (strong(X0) <~> ~calm(X0))... | 0 |
Everyone who is kind is both not quiet and kind and vice versa.
Everyone who is calm or humble is not brave and vice versa.
Everyone who is both calm and not quiet is not brave.
If someone is not old or curious then mary is both calm and humble.
Everyone who is either patient or not old is both happy and curious and vi... | Paul is not wise. | neutral | (![X]:(kind(X)<=>(~quiet(X)&kind(X))))&
(![X]:((calm(X)|humble(X))<=>~brave(X)))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(X))))=>((calm(mary)&humble(mary))))&
(![X]:((patient(X)<~>~old(X))<=>(happy(X)&curious(X))))&
(![X]:((~curious(X)&~happy(X))<=>~happy(X)))&
(![X]:((quiet(X)<~>~kind(X))<=>~... | ~wise(paul) | [] | null | 0 |
If someone is both tall and not calm then someone is wise. If john is both not kind and not old then paul is either not rich or not patient. If susan is wise then someone is either not calm or quiet. Everyone who is generous is both not creative and not quiet and vice versa. Everyone who is not rich or not funny is not... | Fred is not creative. | neutral | ((?[X]:((tall(X)&~calm(X))))=>(?[X]:(wise(X))))&
(((~kind(john)&~old(john)))=>((~rich(paul)<~>~patient(paul))))&
((wise(susan))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(generous(X)<=>(~creative(X)&~quiet(X))))&
(![X]:((~rich(X)|~funny(X))=>(~kind(X)|~old(X))))&
(![X]:((~kind(X)|~generous(X))<=>(rich(X)&~tall(X))))&
(((... | ~creative(fred) | [] | null | 0 |
Everyone who is not humble or not brave is generous or not kind. Everyone who is both humble and tall is either not wise or not rich and vice versa. Everyone who is not wise or not funny is wise or not generous. Everyone who is generous is not quiet or rich and vice versa. If susan is not calm or not kind then someone ... | Alice is quiet. | entailment | (![X]:((~humble(X)|~brave(X))=>(generous(X)|~kind(X))))&
(![X]:((humble(X)&tall(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~wise(X)|~funny(X))=>(wise(X)|~generous(X))))&
(![X]:(generous(X)<=>(~quiet(X)|rich(X))))&
(((~calm(susan)|~kind(susan)))=>(?[X]:((~funny(X)<~>calm(X)))))&
((?[X]:((generous(X)&kind(X))))<=>((~quiet(fr... | quiet(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5804123411573760215462677
% SZS output start Proof for 5804123411573760215462677
4. ! [X0] : (generous(X0) <=> (rich(X0) | ~quiet(X0))) [input p3]
8. ! [X0] : ((generous(X0) & ~calm(X0)) <=> calm(X0)) [input p7]
22. ~quiet(alice) [input hypothesis]
38. ! [X0] : ((generous(X0) | (~rich(X0)... | 0 |
Everyone who is either quiet or not happy is either not happy or brave. Everyone who is not kind is both quiet and not brave and vice versa. Everyone who is both strong and happy is rich or creative. If someone is both not old and not humble then lucy is creative. If someone is either not rich or not kind then someone ... | Paul is curious. | neutral | (![X]:((quiet(X)<~>~happy(X))=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)<=>(quiet(X)&~brave(X))))&
(![X]:((strong(X)&happy(X))=>(rich(X)|creative(X))))&
((?[X]:((~old(X)&~humble(X))))=>(creative(lucy)))&
((?[X]:((~rich(X)<~>~kind(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~tall(X)|~generous(X))))=>(~brave(paul)))&
(![X]:((~p... | curious(paul) | [] | null | 0 |
If susan is both wise and not kind then someone is both funny and not wise and vice versa.
Everyone who is both not funny and calm is brave and vice versa.
If someone is not generous or strong then someone is not happy and vice versa.
Everyone who is not patient or generous is wise or quiet.
Everyone who is not old or ... | Paul is funny. | neutral | (((wise(susan)&~kind(susan)))<=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((~funny(X)&calm(X))<=>brave(X)))&
((?[X]:((~generous(X)|strong(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~patient(X)|generous(X))=>(wise(X)|quiet(X))))&
(![X]:((~old(X)|~happy(X))=>(patient(X)<~>calm(X))))&
(![X]:(tall(X)=>(~kind(X)|tall(X))))&
((quiet(al... | funny(paul) | [] | null | 0 |
If someone is rich then paul is either not strong or not curious.
Everyone who is either not patient or not tall is either not tall or not kind and vice versa.
Everyone who is either not generous or old is calm.
If someone is humble then alice is either not generous or not kind and vice versa.
Everyone who is patient i... | Fred is not generous. | entailment | ((?[X]:(rich(X)))=>((~strong(paul)<~>~curious(paul))))&
(![X]:((~patient(X)<~>~tall(X))<=>(~tall(X)<~>~kind(X))))&
(![X]:((~generous(X)<~>old(X))=>calm(X)))&
((?[X]:(humble(X)))<=>((~generous(alice)<~>~kind(alice))))&
(![X]:(patient(X)=>~generous(X)))&
(![X]:(calm(X)<=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)&~kind... | ~generous(fred) | [
"p2",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 889455062520738712667961
% SZS output start Proof for 889455062520738712667961
3. ! [X0] : ((~generous(X0) <~> old(X0)) => calm(X0)) [input p2]
5. ! [X0] : (patient(X0) => ~generous(X0)) [input p4]
6. ! [X0] : (calm(X0) <=> (wise(X0) & patient(X0))) [input p5]
8. ! [X0] : ((~rich(X0) & ~f... | 0 |
If someone is either curious or happy then john is either not tall or not generous and vice versa.
Everyone who is happy or old is not brave or not patient and vice versa.
Everyone who is humble or not quiet is patient and vice versa.
If susan is either funny or brave then lucy is either not wise or not brave and vice ... | Mary is not calm. | neutral | ((?[X]:((curious(X)<~>happy(X))))<=>((~tall(john)<~>~generous(john))))&
(![X]:((happy(X)|old(X))<=>(~brave(X)|~patient(X))))&
(![X]:((humble(X)|~quiet(X))<=>patient(X)))&
(((funny(susan)<~>brave(susan)))<=>((~wise(lucy)<~>~brave(lucy))))&
(((~curious(paul)|~patient(paul)))<=>(?[X]:((~curious(X)|~generous(X)))))&
(((~pa... | ~calm(mary) | [] | null | 0 |
Everyone who is either not wise or not kind is both wise and not humble and vice versa. Everyone who is not brave or rich is both not kind and happy and vice versa. If someone is rich or not brave then alice is either not wise or funny. If fred is both not patient and strong then someone is both strong and not quiet an... | Lucy is not happy. | contradiction | (![X]:((~wise(X)<~>~kind(X))<=>(wise(X)&~humble(X))))&
(![X]:((~brave(X)|rich(X))<=>(~kind(X)&happy(X))))&
((?[X]:((rich(X)|~brave(X))))=>((~wise(alice)<~>funny(alice))))&
(((~patient(fred)&strong(fred)))<=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((calm(X)&kind(X))=>(~wise(X)|~strong(X))))&
((happy(mary))<=>((~kind(paul... | ~happy(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5875191285036042049453607
% SZS output start Proof for 5875191285036042049453607
1. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (~humble(X0) & wise(X0))) [input p0]
2. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (happy(X0) & ~kind(X0))) [input p1]
5. ! [X0] : ((kind(X0) & calm(X0)) => (~strong(X0) ... | 0 |
If someone is old then someone is quiet or happy and vice versa.
If lucy is both not brave and not patient then someone is both humble and happy and vice versa.
Everyone who is both kind and not humble is both calm and not strong and vice versa.
If someone is either tall or not curious then someone is either old or cur... | John is not wise. | entailment | ((?[X]:(old(X)))<=>(?[X]:((quiet(X)|happy(X)))))&
(((~brave(lucy)&~patient(lucy)))<=>(?[X]:((humble(X)&happy(X)))))&
(![X]:((kind(X)&~humble(X))<=>(calm(X)&~strong(X))))&
((?[X]:((tall(X)<~>~curious(X))))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((~quiet(X)&creative(X))<=>(generous(X)|~kind(X))))&
((?[X]:((wise(X)|funn... | ~wise(john) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8939376599843209116238930
% SZS output start Proof for 8939376599843209116238930
6. ? [X0] : (funny(X0) | wise(X0)) => (happy(john) & strong(john)) [input p5]
15. ! [X0] : ((~wise(X0) & tall(X0)) <=> (~curious(X0) | strong(X0))) [input p14]
25. wise(john) [input hypothesis]
30. ? [X0] : w... | 0 |
Everyone who is not patient is not rich and vice versa.
If mary is patient or not happy then someone is both not patient and patient and vice versa.
Everyone who is generous is rich.
If someone is happy then someone is both humble and not rich.
If someone is not patient or calm then alice is either not rich or not calm... | John is not happy. | entailment | (![X]:(~patient(X)<=>~rich(X)))&
(((patient(mary)|~happy(mary)))<=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:(generous(X)=>rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)&~rich(X)))))&
((?[X]:((~patient(X)|calm(X))))=>((~rich(alice)<~>~calm(alice))))&
((?[X]:((generous(X)&~wise(X))))<=>(?[X]:((~strong(X)|strong(X)))))... | ~happy(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8384553258492079945111273
% SZS output start Proof for 8384553258492079945111273
19. ~happy(john) & creative(john) [input p18]
24. happy(john) [input hypothesis]
133. ~happy(john) [cnf transformation 19]
142. happy(john) [cnf transformation 24]
280. 30 <=> happy(john) [avatar definition]
... | 0 |
If john is either funny or kind then mary is not kind or kind. Everyone who is both not happy and quiet is either quiet or creative. Everyone who is happy or creative is patient and vice versa. If someone is not brave then mary is happy. If someone is both not quiet and not humble then alice is not generous. If fred is... | Lucy is calm. | entailment | (((funny(john)<~>kind(john)))=>((~kind(mary)|kind(mary))))&
(![X]:((~happy(X)&quiet(X))=>(quiet(X)<~>creative(X))))&
(![X]:((happy(X)|creative(X))<=>patient(X)))&
((?[X]:(~brave(X)))=>(happy(mary)))&
((?[X]:((~quiet(X)&~humble(X))))=>(~generous(alice)))&
((~happy(fred))<=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:((w... | calm(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5477829127975359471861265
% SZS output start Proof for 5477829127975359471861265
19. calm(lucy) [input p18]
25. ~calm(lucy) [input hypothesis]
120. calm(lucy) [cnf transformation 19]
130. ~calm(lucy) [cnf transformation 25]
260. $false [subsumption resolution 130,120]
% SZS output end Pro... | 0 |
If someone is either creative or humble then someone is both old and not humble and vice versa. Everyone who is not kind or happy is both curious and old and vice versa. Everyone who is both creative and strong is either not patient or tall. If someone is not curious or not quiet then someone is generous or not happy. ... | Paul is tall. | contradiction | ((?[X]:((creative(X)<~>humble(X))))<=>(?[X]:((old(X)&~humble(X)))))&
(![X]:((~kind(X)|happy(X))<=>(curious(X)&old(X))))&
(![X]:((creative(X)&strong(X))=>(~patient(X)<~>tall(X))))&
((?[X]:((~curious(X)|~quiet(X))))=>(?[X]:((generous(X)|~happy(X)))))&
(![X]:((calm(X)<~>patient(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((~happ... | tall(paul) | [
"p1",
"p5",
"p6",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1957785746114926276409393
% SZS output start Proof for 1957785746114926276409393
2. ! [X0] : ((happy(X0) | ~kind(X0)) <=> (old(X0) & curious(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~rich(X0) <~> tall(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> (calm(X0) & ~funny(X0))) [... | 0 |
If john is either kind or not kind then lucy is both not kind and not creative.
If someone is not old then someone is both brave and old and vice versa.
Everyone who is either not creative or calm is either not calm or happy and vice versa.
If someone is either brave or not wise then someone is tall or quiet.
Everyone ... | Fred is curious. | entailment | (((kind(john)<~>~kind(john)))=>((~kind(lucy)&~creative(lucy))))&
((?[X]:(~old(X)))<=>(?[X]:((brave(X)&old(X)))))&
(![X]:((~creative(X)<~>calm(X))<=>(~calm(X)<~>happy(X))))&
((?[X]:((brave(X)<~>~wise(X))))=>(?[X]:((tall(X)|quiet(X)))))&
(![X]:(~kind(X)=>(humble(X)&~quiet(X))))&
((~wise(lucy))<=>(~old(mary)))&
((?[X]:((~... | curious(fred) | [
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 13682122331015626358720
% SZS output start Proof for 13682122331015626358720
8. ! [X0] : ((~calm(X0) | ~curious(X0)) => (~generous(X0) | ~humble(X0))) [input p7]
9. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~strong(X0) & ~old(X0))) [input p8]
10. ! [X0] : ((~generous(X0) | ~strong(X0)) ... | 0 |
If mary is not wise or old then paul is calm or wise. Everyone who is creative is old or not brave and vice versa. If lucy is either not tall or calm then mary is either not brave or not kind and vice versa. Everyone who is either not old or curious is generous. Everyone who is either generous or not brave is either no... | Mary is generous. | contradiction | (((~wise(mary)|old(mary)))=>((calm(paul)|wise(paul))))&
(![X]:(creative(X)<=>(old(X)|~brave(X))))&
(((~tall(lucy)<~>calm(lucy)))<=>((~brave(mary)<~>~kind(mary))))&
(![X]:((~old(X)<~>curious(X))=>generous(X)))&
(![X]:((generous(X)<~>~brave(X))<=>(~creative(X)<~>creative(X))))&
(![X]:((happy(X)&~wise(X))=>~curious(X)))&
... | generous(mary) | [
"p1",
"p4",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4824322512447439069393632
% SZS output start Proof for 4824322512447439069393632
2. ! [X0] : (creative(X0) <=> (~brave(X0) | old(X0))) [input p1]
5. ! [X0] : ((generous(X0) <~> ~brave(X0)) <=> (~creative(X0) <~> creative(X0))) [input p4]
9. ! [X0] : ((~creative(X0) <~> calm(X0)) <=> (~gen... | 0 |
If someone is both rich and happy then lucy is patient or generous.
Everyone who is brave or not rich is not old and vice versa.
If mary is either not quiet or patient then someone is both patient and calm.
If someone is not curious or not happy then susan is tall or old and vice versa.
If fred is humble or not calm th... | Fred is not strong. | entailment | ((?[X]:((rich(X)&happy(X))))=>((patient(lucy)|generous(lucy))))&
(![X]:((brave(X)|~rich(X))<=>~old(X)))&
(((~quiet(mary)<~>patient(mary)))=>(?[X]:((patient(X)&calm(X)))))&
((?[X]:((~curious(X)|~happy(X))))<=>((tall(susan)|old(susan))))&
(((humble(fred)|~calm(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)<~>~brave(X... | ~strong(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2357306694221494600690567
% SZS output start Proof for 2357306694221494600690567
8. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> ~funny(X0)) [input p7]
25. strong(fred) [input hypothesis]
53. ! [X0] : ((((~funny(X0) | strong(X0)) & (funny(X0) | ~strong(X0))) | funny(X0)) & (~funny(X0) | ((~s... | 0 |
Everyone who is either not old or quiet is curious or not wise.
Everyone who is not happy is not old or not creative.
If lucy is calm or wise then paul is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone ... | John is old. | entailment | (![X]:((~old(X)<~>quiet(X))=>(curious(X)|~wise(X))))&
(![X]:(~happy(X)=>(~old(X)|~creative(X))))&
(((calm(lucy)|wise(lucy)))<=>((~wise(paul)<~>~brave(paul))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~g... | old(john) | [
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1655606737647350225813586
% SZS output start Proof for 1655606737647350225813586
11. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p10]
13. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p12]
15. ! [X0] : ((~creative(X0) & happy(X0)) <=> (gen... | 0 |
If alice is both old and not funny then someone is rich or not quiet and vice versa.
If susan is humble then fred is funny or not wise.
Everyone who is humble or tall is either wise or not rich.
If mary is both kind and rich then someone is not humble or not calm and vice versa.
Everyone who is rich is patient or not f... | Mary is rich. | neutral | (((old(alice)&~funny(alice)))<=>(?[X]:((rich(X)|~quiet(X)))))&
((humble(susan))=>((funny(fred)|~wise(fred))))&
(![X]:((humble(X)|tall(X))=>(wise(X)<~>~rich(X))))&
(((kind(mary)&rich(mary)))<=>(?[X]:((~humble(X)|~calm(X)))))&
(![X]:(rich(X)=>(patient(X)|~funny(X))))&
(![X]:(humble(X)<=>(rich(X)|curious(X))))&
(((brave(m... | rich(mary) | [] | null | 0 |
If alice is strong then someone is both wise and quiet. If john is creative then someone is both wise and quiet and vice versa. If someone is both happy and old then someone is wise and vice versa. Everyone who is generous is either old or not calm and vice versa. Everyone who is not old is both quiet and strong. If so... | Mary is not wise. | neutral | ((strong(alice))=>(?[X]:((wise(X)&quiet(X)))))&
((creative(john))<=>(?[X]:((wise(X)&quiet(X)))))&
((?[X]:((happy(X)&old(X))))<=>(?[X]:(wise(X))))&
(![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X)... | ~wise(mary) | [] | null | 0 |
Everyone who is humble or not creative is either not calm or not rich.
Everyone who is either patient or not creative is both not tall and not kind.
If alice is either humble or not old then paul is both not quiet and funny.
Everyone who is either curious or old is both not kind and brave and vice versa.
If mary is eit... | Alice is not happy. | contradiction | (![X]:((humble(X)|~creative(X))=>(~calm(X)<~>~rich(X))))&
(![X]:((patient(X)<~>~creative(X))=>(~tall(X)&~kind(X))))&
(((humble(alice)<~>~old(alice)))=>((~quiet(paul)&funny(paul))))&
(![X]:((curious(X)<~>old(X))<=>(~kind(X)&brave(X))))&
(((funny(mary)<~>strong(mary)))=>(?[X]:((humble(X)&~wise(X)))))&
((?[X]:(~rich(X)))<... | ~happy(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2390212737813391032233032
% SZS output start Proof for 2390212737813391032233032
14. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [input p13]
24. ~happy(alice) [input hypothesis]
65. ! [X0] : (((happy(X0) & ~quiet(X0)) | (old(X0) & ~old(X0))) & ((~old(X0) | old(X0)) | (~ha... | 0 |
Everyone who is both patient and not patient is rich and vice versa.
Everyone who is either patient or creative is either not creative or funny.
If someone is not patient or generous then someone is funny or tall.
If susan is not calm then someone is either humble or not creative and vice versa.
Everyone who is not kin... | Mary is not patient. | neutral | (![X]:((patient(X)&~patient(X))<=>rich(X)))&
(![X]:((patient(X)<~>creative(X))=>(~creative(X)<~>funny(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((funny(X)|tall(X)))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((calm(X)<~>wise(X))=>... | ~patient(mary) | [] | null | 0 |
Everyone who is curious or happy is both brave and creative.
Everyone who is both not rich and not kind is both patient and not generous.
If someone is not quiet then someone is quiet or creative.
Everyone who is humble is either not quiet or quiet.
Everyone who is not tall is both not brave and creative.
If someone is... | Fred is not tall. | contradiction | (![X]:((curious(X)|happy(X))=>(brave(X)&creative(X))))&
(![X]:((~rich(X)&~kind(X))=>(patient(X)&~generous(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((quiet(X)|creative(X)))))&
(![X]:(humble(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(~brave(X)&creative(X))))&
((?[X]:((curious(X)<~>humble(X))))=>(?[X]:((calm(X)|rich(X)))))&... | ~tall(fred) | [
"p0",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9086105633278391465142905
% SZS output start Proof for 9086105633278391465142905
1. ! [X0] : ((happy(X0) | curious(X0)) => (creative(X0) & brave(X0))) [input p0]
5. ! [X0] : (~tall(X0) => (creative(X0) & ~brave(X0))) [input p4]
7. ! [X0] : (~happy(X0) => (brave(X0) & rich(X0))) [input p6]... | 0 |
If someone is funny or not calm then someone is both not patient and not tall and vice versa. If someone is either brave or humble then someone is either not old or not quiet and vice versa. Everyone who is either old or calm is humble and vice versa. Everyone who is not creative is either curious or funny. Everyone wh... | Fred is not creative. | entailment | ((?[X]:((funny(X)|~calm(X))))<=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:((brave(X)<~>humble(X))))<=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:((old(X)<~>calm(X))<=>humble(X)))&
(![X]:(~creative(X)=>(curious(X)<~>funny(X))))&
(![X]:((~generous(X)&old(X))=>(creative(X)|calm(X))))&
(![X]:((~strong(X)<~>quiet(X))<=>(calm(X)&... | ~creative(fred) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5749218042858041969681452
% SZS output start Proof for 5749218042858041969681452
7. ? [X0] : humble(X0) => (~creative(fred) & kind(fred)) [input p6]
14. ! [X0] : (~humble(X0) <=> (kind(X0) & ~happy(X0))) [input p13]
20. strong(lucy) & ~kind(lucy) [input p19]
24. creative(fred) [input hypo... | 0 |
If paul is not generous or funny then paul is either not brave or brave and vice versa.
Everyone who is both not wise and not strong is both not happy and not generous and vice versa.
Everyone who is not creative or calm is both not kind and creative.
Everyone who is either not kind or not happy is either not generous ... | Paul is not wise. | entailment | (((~generous(paul)|funny(paul)))<=>((~brave(paul)<~>brave(paul))))&
(![X]:((~wise(X)&~strong(X))<=>(~happy(X)&~generous(X))))&
(![X]:((~creative(X)|calm(X))=>(~kind(X)&creative(X))))&
(![X]:((~kind(X)<~>~happy(X))=>(~generous(X)<~>~brave(X))))&
((calm(paul))<=>((wise(fred)|~wise(fred))))&
(![X]:(~funny(X)<=>(wise(X)|~c... | ~wise(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5014127906487609127813044
% SZS output start Proof for 5014127906487609127813044
1. (funny(paul) | ~generous(paul)) <=> (~brave(paul) <~> brave(paul)) [input p0]
2. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (~generous(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~creative(X0)) => ... | 0 |
If someone is both not strong and not quiet then john is both humble and not calm and vice versa.
Everyone who is both not happy and not funny is either old or strong and vice versa.
If someone is generous then someone is either not calm or strong.
Everyone who is generous or not strong is curious or not rich.
Everyone... | John is not quiet. | neutral | ((?[X]:((~strong(X)&~quiet(X))))<=>((humble(john)&~calm(john))))&
(![X]:((~happy(X)&~funny(X))<=>(old(X)<~>strong(X))))&
((?[X]:(generous(X)))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:((generous(X)|~strong(X))=>(curious(X)|~rich(X))))&
(![X]:((rich(X)&~quiet(X))=>brave(X)))&
(![X]:((funny(X)&~tall(X))<=>(humble(X)<~>~r... | ~quiet(john) | [] | null | 0 |
Everyone who is rich or not strong is patient and vice versa.
If someone is both funny and not strong then someone is not happy or old and vice versa.
If mary is quiet then someone is either strong or not strong and vice versa.
Everyone who is curious or not tall is humble or funny.
If someone is calm or rich then some... | John is not quiet. | neutral | (![X]:((rich(X)|~strong(X))<=>patient(X)))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((~happy(X)|old(X)))))&
((quiet(mary))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((curious(X)|~tall(X))=>(humble(X)|funny(X))))&
((?[X]:((calm(X)|rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
((?[X]:((calm(X)<~>generous(X))))=>(?[X]:((wise... | ~quiet(john) | [] | null | 0 |
Everyone who is either brave or not rich is either kind or not quiet and vice versa.
If paul is not kind or old then john is rich and vice versa.
Everyone who is quiet is either not happy or generous and vice versa.
Everyone who is both not old and not tall is either not calm or curious and vice versa.
If someone is ei... | Mary is wise. | entailment | (![X]:((brave(X)<~>~rich(X))<=>(kind(X)<~>~quiet(X))))&
(((~kind(paul)|old(paul)))<=>(rich(john)))&
(![X]:(quiet(X)<=>(~happy(X)<~>generous(X))))&
(![X]:((~old(X)&~tall(X))<=>(~calm(X)<~>curious(X))))&
((?[X]:((~quiet(X)<~>funny(X))))=>(~brave(mary)))&
(![X]:((old(X)&~strong(X))<=>(~wise(X)|old(X))))&
(((wise(paul)<~>~... | wise(mary) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5878656795294999653388210
% SZS output start Proof for 5878656795294999653388210
1. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> (kind(X0) <~> ~quiet(X0))) [input p0]
5. ? [X0] : (~quiet(X0) <~> funny(X0)) => ~brave(mary) [input p4]
6. ! [X0] : ((~strong(X0) & old(X0)) <=> (old(X0) | ~wise(X0)... | 0 |
If paul is quiet or not strong then someone is not old or calm.
Everyone who is either strong or not old is funny or not wise and vice versa.
Everyone who is not strong is either brave or not curious.
If someone is both not wise and kind then someone is not creative and vice versa.
Everyone who is both happy and quiet ... | Alice is quiet. | neutral | (((quiet(paul)|~strong(paul)))=>(?[X]:((~old(X)|calm(X)))))&
(![X]:((strong(X)<~>~old(X))<=>(funny(X)|~wise(X))))&
(![X]:(~strong(X)=>(brave(X)<~>~curious(X))))&
((?[X]:((~wise(X)&kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((happy(X)&quiet(X))=>(curious(X)<~>~patient(X))))&
(![X]:((old(X)&tall(X))=>(~rich(X)|~wise(X)))... | quiet(alice) | [] | null | 0 |
If susan is either not calm or not brave then someone is not creative. If john is not quiet or quiet then mary is rich or not humble and vice versa. Everyone who is both generous and humble is either quiet or wise and vice versa. If someone is humble then john is either not old or not strong. Everyone who is both brave... | Paul is kind. | contradiction | (((~calm(susan)<~>~brave(susan)))=>(?[X]:(~creative(X))))&
(((~quiet(john)|quiet(john)))<=>((rich(mary)|~humble(mary))))&
(![X]:((generous(X)&humble(X))<=>(quiet(X)<~>wise(X))))&
((?[X]:(humble(X)))=>((~old(john)<~>~strong(john))))&
(![X]:((brave(X)&~patient(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>quiet... | kind(paul) | [
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3846019352053822581440390
% SZS output start Proof for 3846019352053822581440390
6. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p5]
11. ? [X0] : (~rich(X0) | funny(X0)) => (quiet(john) <~> old(john)) [input p10]
14. (~old(john) & kind(john)) <=> ? [X0] : ki... | 0 |
Everyone who is funny or happy is brave or generous. Everyone who is brave is kind and vice versa. If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someon... | Lucy is old. | contradiction | (![X]:((funny(X)|happy(X))=>(brave(X)|generous(X))))&
(![X]:(brave(X)<=>kind(X)))&
((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))... | old(lucy) | [
"p2",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4717413103566575763196046
% SZS output start Proof for 4717413103566575763196046
3. ? [X0] : (happy(X0) <~> ~brave(X0)) => (~creative(susan) | wise(susan)) [input p2]
6. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p5]
8. ? [X0] : (~generous(X0) | ~pa... | 0 |
Everyone who is either not happy or not old is calm.
Everyone who is either old or curious is both happy and calm.
Everyone who is both not creative and brave is kind.
If someone is generous or tall then someone is patient or not humble and vice versa.
If susan is not old or not quiet then someone is generous and vice ... | Susan is patient. | neutral | (![X]:((~happy(X)<~>~old(X))=>calm(X)))&
(![X]:((old(X)<~>curious(X))=>(happy(X)&calm(X))))&
(![X]:((~creative(X)&brave(X))=>kind(X)))&
((?[X]:((generous(X)|tall(X))))<=>(?[X]:((patient(X)|~humble(X)))))&
(((~old(susan)|~quiet(susan)))<=>(?[X]:(generous(X))))&
(![X]:((~generous(X)&quiet(X))=>(~quiet(X)&~tall(X))))&
(![... | patient(susan) | [] | null | 0 |
If paul is generous or creative then lucy is funny or old.
Everyone who is either kind or brave is calm.
Everyone who is either not calm or happy is both brave and humble.
If fred is either wise or strong then paul is not strong and vice versa.
Everyone who is not tall or not happy is both brave and kind.
Everyone who ... | Alice is not old. | contradiction | (((generous(paul)|creative(paul)))=>((funny(lucy)|old(lucy))))&
(![X]:((kind(X)<~>brave(X))=>calm(X)))&
(![X]:((~calm(X)<~>happy(X))=>(brave(X)&humble(X))))&
(((wise(fred)<~>strong(fred)))<=>(~strong(paul)))&
(![X]:((~tall(X)|~happy(X))=>(brave(X)&kind(X))))&
(![X]:((strong(X)<~>funny(X))=>(~happy(X)&curious(X))))&
((~... | ~old(alice) | [
"p1",
"p2",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7368472433102400826366933
% SZS output start Proof for 7368472433102400826366933
2. ! [X0] : ((kind(X0) <~> brave(X0)) => calm(X0)) [input p1]
3. ! [X0] : ((~calm(X0) <~> happy(X0)) => (humble(X0) & brave(X0))) [input p2]
5. ! [X0] : ((~happy(X0) | ~tall(X0)) => (kind(X0) & brave(X0))) [i... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Susan is creative. | entailment | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | creative(susan) | [
"p0",
"p1",
"p6",
"p7",
"p8",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 171132441001428827950110
% SZS output start Proof for 171132441001428827950110
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
2. ? [X0] : ~creative(X0) => ~curious(fred) [input p1]
7. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~happy(X0) | ~tall(X0))) [input... | 0 |
Everyone who is humble or funny is not funny.
Everyone who is kind or curious is not happy.
If someone is tall then mary is not brave.
Everyone who is both rich and kind is both strong and creative and vice versa.
If susan is both not creative and not humble then susan is either not brave or not humble.
Everyone who is... | Lucy is happy. | neutral | (![X]:((humble(X)|funny(X))=>~funny(X)))&
(![X]:((kind(X)|curious(X))=>~happy(X)))&
((?[X]:(tall(X)))=>(~brave(mary)))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&creative(X))))&
(((~creative(susan)&~humble(susan)))=>((~brave(susan)<~>~humble(susan))))&
(![X]:((old(X)|~quiet(X))=>(happy(X)&~brave(X))))&
(![X]:(funny(X)<=>(c... | happy(lucy) | [] | null | 0 |
Everyone who is both not humble and kind is not old. If john is both not rich and not funny then someone is both not wise and not generous and vice versa. If someone is either not rich or rich then someone is both not wise and not creative. If someone is both creative and calm then john is either tall or wise. If someo... | Mary is not happy. | entailment | (![X]:((~humble(X)&kind(X))=>~old(X)))&
(((~rich(john)&~funny(john)))<=>(?[X]:((~wise(X)&~generous(X)))))&
((?[X]:((~rich(X)<~>rich(X))))=>(?[X]:((~wise(X)&~creative(X)))))&
((?[X]:((creative(X)&calm(X))))=>((tall(john)<~>wise(john))))&
((?[X]:((~brave(X)&creative(X))))=>((~strong(mary)<~>rich(mary))))&
(![X]:((~tall(X... | ~happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9144822837447231876975942
% SZS output start Proof for 9144822837447231876975942
10. ! [X0] : ((happy(X0) & ~creative(X0)) <=> creative(X0)) [input p9]
24. happy(mary) [input hypothesis]
56. ! [X0] : (((happy(X0) & ~creative(X0)) | ~creative(X0)) & (creative(X0) | (~happy(X0) | creative(X... | 0 |
Everyone who is either not generous or quiet is both not quiet and not patient.
If someone is both brave and generous then someone is either not rich or not curious and vice versa.
If someone is not old or not quiet then someone is both not brave and not generous.
Everyone who is both not quiet and not brave is either ... | Fred is curious. | contradiction | (![X]:((~generous(X)<~>quiet(X))=>(~quiet(X)&~patient(X))))&
((?[X]:((brave(X)&generous(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((~old(X)|~quiet(X))))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((~quiet(X)&~brave(X))<=>(brave(X)<~>kind(X))))&
((?[X]:((~tall(X)<~>tall(X))))=>(?[X]:((~kind(X)&~patient(X)))))&
... | curious(fred) | [
"p1",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8467780447459931703731587
% SZS output start Proof for 8467780447459931703731587
2. ? [X0] : (generous(X0) & brave(X0)) <=> ? [X0] : (~rich(X0) <~> ~curious(X0)) [input p1]
4. ! [X0] : ((~brave(X0) & ~quiet(X0)) <=> (brave(X0) <~> kind(X0))) [input p3]
7. ! [X0] : ((~humble(X0) | humble(X... | 0 |
If lucy is tall then alice is both not rich and not calm and vice versa. Everyone who is either not curious or not happy is not creative. Everyone who is both patient and not happy is either quiet or not rich. Everyone who is both not humble and tall is calm or not curious and vice versa. If someone is humble then some... | Lucy is brave. | neutral | ((tall(lucy))<=>((~rich(alice)&~calm(alice))))&
(![X]:((~curious(X)<~>~happy(X))=>~creative(X)))&
(![X]:((patient(X)&~happy(X))=>(quiet(X)<~>~rich(X))))&
(![X]:((~humble(X)&tall(X))<=>(calm(X)|~curious(X))))&
((?[X]:(humble(X)))=>(?[X]:(strong(X))))&
(![X]:((creative(X)|~tall(X))<=>(~brave(X)<~>~strong(X))))&
((?[X]:((... | brave(lucy) | [] | null | 0 |
Everyone who is both not generous and happy is either happy or calm and vice versa. Everyone who is generous is both happy and old. Everyone who is either wise or not rich is quiet or not brave. Everyone who is not curious is old or tall and vice versa. Everyone who is not kind is creative and vice versa. If someone is... | Mary is humble. | contradiction | (![X]:((~generous(X)&happy(X))<=>(happy(X)<~>calm(X))))&
(![X]:(generous(X)=>(happy(X)&old(X))))&
(![X]:((wise(X)<~>~rich(X))=>(quiet(X)|~brave(X))))&
(![X]:(~curious(X)<=>(old(X)|tall(X))))&
(![X]:(~kind(X)<=>creative(X)))&
((?[X]:((creative(X)<~>~creative(X))))<=>((~humble(susan)&happy(susan))))&
((?[X]:((happy(X)<~>... | humble(mary) | [
"p0",
"p1",
"p14",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3229725053877015169547337
% SZS output start Proof for 3229725053877015169547337
1. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (happy(X0) <~> calm(X0))) [input p0]
2. ! [X0] : (generous(X0) => (old(X0) & happy(X0))) [input p1]
15. ! [X0] : (humble(X0) <=> (strong(X0) <~> ~old(X0))) [input ... | 0 |
Everyone who is both kind and not curious is kind and vice versa.
If someone is not calm then alice is humble and vice versa.
If mary is not generous then someone is kind or calm.
Everyone who is either rich or tall is both happy and not funny and vice versa.
If john is both not happy and creative then mary is old.
If ... | Alice is not curious. | contradiction | (![X]:((kind(X)&~curious(X))<=>kind(X)))&
((?[X]:(~calm(X)))<=>(humble(alice)))&
((~generous(mary))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((rich(X)<~>tall(X))<=>(happy(X)&~funny(X))))&
(((~happy(john)&creative(john)))=>(old(mary)))&
(((~curious(alice)|~patient(alice)))=>(?[X]:((old(X)<~>~wise(X)))))&
((?[X]:((patient(X)<... | ~curious(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5681056757153777746289047
% SZS output start Proof for 5681056757153777746289047
15. ? [X0] : (~creative(X0) & creative(X0)) <=> (~tall(alice) | ~curious(alice)) [input p14]
24. ~curious(alice) [input hypothesis]
65. (? [X0] : (~creative(X0) & creative(X0)) | (tall(alice) & curious(alice)... | 0 |
Everyone who is not generous or not funny is not patient or humble. If someone is either not calm or happy then someone is either wise or tall. Everyone who is either not happy or kind is both humble and patient and vice versa. Everyone who is both not rich and funny is both not happy and kind. Everyone who is not wise... | Susan is not happy. | contradiction | (![X]:((~generous(X)|~funny(X))=>(~patient(X)|humble(X))))&
((?[X]:((~calm(X)<~>happy(X))))=>(?[X]:((wise(X)<~>tall(X)))))&
(![X]:((~happy(X)<~>kind(X))<=>(humble(X)&patient(X))))&
(![X]:((~rich(X)&funny(X))=>(~happy(X)&kind(X))))&
(![X]:((~wise(X)|~brave(X))<=>(~quiet(X)&~old(X))))&
(((rich(susan)<~>quiet(susan)))=>((... | ~happy(susan) | [
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3476876977091436878126928
% SZS output start Proof for 3476876977091436878126928
17. ~generous(susan) [input p16]
22. ~generous(susan) <~> ~happy(susan) [input p21]
25. ~happy(susan) [input hypothesis]
75. (happy(susan) | generous(susan)) & (~happy(susan) | ~generous(susan)) [nnf transfor... | 0 |
If mary is both not kind and quiet then someone is quiet or not tall.
Everyone who is not kind or happy is not tall or rich.
Everyone who is both not humble and not curious is not rich and vice versa.
If someone is both not funny and not rich then someone is either not generous or not old.
If someone is not generous or... | John is not happy. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~kind(X)|happy(X))=>(~tall(X)|rich(X))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))... | ~happy(john) | [
"p1",
"p5",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5406235276163839807306942
% SZS output start Proof for 5406235276163839807306942
2. ! [X0] : ((happy(X0) | ~kind(X0)) => (rich(X0) | ~tall(X0))) [input p1]
6. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p5]
7. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (old(X0) <~> tall(X0))) [input p6]... | 0 |
If someone is not kind or quiet then susan is both creative and not generous and vice versa.
Everyone who is both not patient and not humble is not funny and vice versa.
If susan is either tall or not patient then john is not tall or kind and vice versa.
If paul is funny then someone is tall or wise and vice versa.
Eve... | Susan is wise. | entailment | ((?[X]:((~kind(X)|quiet(X))))<=>((creative(susan)&~generous(susan))))&
(![X]:((~patient(X)&~humble(X))<=>~funny(X)))&
(((tall(susan)<~>~patient(susan)))<=>((~tall(john)|kind(john))))&
((funny(paul))<=>(?[X]:((tall(X)|wise(X)))))&
(![X]:((wise(X)<~>creative(X))=>(~old(X)<~>creative(X))))&
(![X]:((happy(X)|~happy(X))=>(w... | wise(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3581425044525497379143442
% SZS output start Proof for 3581425044525497379143442
6. ! [X0] : ((~happy(X0) | happy(X0)) => (~rich(X0) & wise(X0))) [input p5]
23. ~wise(susan) [input hypothesis]
27. ! [X0] : ((~rich(X0) & wise(X0)) | (happy(X0) & ~happy(X0))) [ennf transformation 6]
96. wis... | 0 |
If someone is brave then someone is both funny and curious and vice versa. If someone is not quiet then someone is strong. Everyone who is not kind is either not wise or not generous. If john is not brave or not strong then paul is not old. Everyone who is not brave is either not happy or strong. Everyone who is not hu... | Paul is old. | neutral | ((?[X]:(brave(X)))<=>(?[X]:((funny(X)&curious(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(strong(X))))&
(![X]:(~kind(X)=>(~wise(X)<~>~generous(X))))&
(((~brave(john)|~strong(john)))=>(~old(paul)))&
(![X]:(~brave(X)=>(~happy(X)<~>strong(X))))&
(![X]:(~humble(X)=>generous(X)))&
(![X]:((~strong(X)<~>~old(X))=>(~calm(X)|happy(X)))... | old(paul) | [] | null | 0 |
Everyone who is both not old and quiet is rich or generous and vice versa.
If fred is either brave or old then someone is brave or generous and vice versa.
Everyone who is brave is wise or quiet.
If someone is either not rich or patient then paul is not old.
Everyone who is not wise or quiet is brave and vice versa.
Ev... | Paul is not calm. | contradiction | (![X]:((~old(X)&quiet(X))<=>(rich(X)|generous(X))))&
(((brave(fred)<~>old(fred)))<=>(?[X]:((brave(X)|generous(X)))))&
(![X]:(brave(X)=>(wise(X)|quiet(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>(~old(paul)))&
(![X]:((~wise(X)|quiet(X))<=>brave(X)))&
(![X]:((~strong(X)&~calm(X))=>(tall(X)&calm(X))))&
((~brave(lucy))=>(?[X... | ~calm(paul) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9139417166429602933318055
% SZS output start Proof for 9139417166429602933318055
6. ! [X0] : ((~calm(X0) & ~strong(X0)) => (calm(X0) & tall(X0))) [input p5]
17. brave(paul) & ~strong(paul) [input p16]
25. ~calm(paul) [input hypothesis]
30. ! [X0] : ((~calm(X0) & ~strong(X0)) => calm(X0)) ... | 0 |
Everyone who is not strong or not kind is both brave and not creative.
Everyone who is creative is both not happy and strong.
Everyone who is either curious or not funny is old.
If alice is not strong or not generous then someone is kind or not tall.
If mary is not wise then someone is both not tall and not wise.
Every... | John is not old. | entailment | (![X]:((~strong(X)|~kind(X))=>(brave(X)&~creative(X))))&
(![X]:(creative(X)=>(~happy(X)&strong(X))))&
(![X]:((curious(X)<~>~funny(X))=>old(X)))&
(((~strong(alice)|~generous(alice)))=>(?[X]:((kind(X)|~tall(X)))))&
((~wise(mary))=>(?[X]:((~tall(X)&~wise(X)))))&
(![X]:(old(X)<=>(~strong(X)&curious(X))))&
(![X]:(brave(X)=>... | ~old(john) | [
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4276263235974932322396250
% SZS output start Proof for 4276263235974932322396250
6. ! [X0] : (old(X0) <=> (curious(X0) & ~strong(X0))) [input p5]
12. ! [X0] : ((funny(X0) | ~funny(X0)) => (generous(X0) & quiet(X0))) [input p11]
16. (quiet(susan) | happy(susan)) => (~rich(john) & strong(jo... | 0 |
If susan is both old and not old then fred is not creative and vice versa.
If someone is both tall and not humble then mary is curious or tall.
Everyone who is both not funny and rich is not patient or brave.
Everyone who is calm is not strong.
Everyone who is either not quiet or not patient is not tall.
If lucy is cur... | Lucy is not wise. | entailment | (((old(susan)&~old(susan)))<=>(~creative(fred)))&
((?[X]:((tall(X)&~humble(X))))=>((curious(mary)|tall(mary))))&
(![X]:((~funny(X)&rich(X))=>(~patient(X)|brave(X))))&
(![X]:(calm(X)=>~strong(X)))&
(![X]:((~quiet(X)<~>~patient(X))=>~tall(X)))&
(((curious(lucy)|brave(lucy)))<=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:((ca... | ~wise(lucy) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1880704476492477347726603
% SZS output start Proof for 1880704476492477347726603
8. ! [X0] : (wise(X0) => rich(X0)) [input p7]
19. ~rich(lucy) [input p18]
25. wise(lucy) [input hypothesis]
32. ! [X0] : (rich(X0) | ~wise(X0)) [ennf transformation 8]
93. ~wise(X0) | rich(X0) [cnf transforma... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or humble is old.
Everyone who is quiet is both not old and not strong and vice versa.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is... | Alice is not old. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>old(X)))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet... | ~old(alice) | [] | null | 0 |
Everyone who is both not generous and not creative is either not tall or quiet.
Everyone who is humble is funny or curious and vice versa.
Everyone who is wise or not funny is quiet and vice versa.
If fred is both tall and brave then someone is rich or humble and vice versa.
If fred is either wise or brave then someone... | Susan is happy. | neutral | (![X]:((~generous(X)&~creative(X))=>(~tall(X)<~>quiet(X))))&
(![X]:(humble(X)<=>(funny(X)|curious(X))))&
(![X]:((wise(X)|~funny(X))<=>quiet(X)))&
(((tall(fred)&brave(fred)))<=>(?[X]:((rich(X)|humble(X)))))&
(((wise(fred)<~>brave(fred)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
((generous(mary))<=>(?[X]:((old(X)&~quiet(X))))... | happy(susan) | [] | null | 0 |
If mary is brave then someone is both not generous and quiet.
Everyone who is both not creative and old is both generous and not creative and vice versa.
Everyone who is patient is old or not kind and vice versa.
If paul is either not quiet or not wise then someone is quiet or not old and vice versa.
Everyone who is ca... | Susan is funny. | neutral | ((brave(mary))=>(?[X]:((~generous(X)&quiet(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)&~creative(X))))&
(![X]:(patient(X)<=>(old(X)|~kind(X))))&
(((~quiet(paul)<~>~wise(paul)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:(calm(X)<=>(~old(X)&wise(X))))&
((~wise(paul))=>(?[X]:((~strong(X)|patient(X)))))&
(((calm(john)&... | funny(susan) | [] | null | 0 |
If paul is old then someone is both kind and rich. If someone is patient or not quiet then someone is not brave. Everyone who is either creative or patient is both happy and not funny and vice versa. If susan is not strong then alice is either not humble or not calm and vice versa. If someone is kind then alice is eith... | Paul is not creative. | entailment | ((old(paul))=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((patient(X)|~quiet(X))))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)<~>patient(X))<=>(happy(X)&~funny(X))))&
((~strong(susan))<=>((~humble(alice)<~>~calm(alice))))&
((?[X]:(kind(X)))<=>((funny(alice)<~>~patient(alice))))&
((generous(mary))<=>(?[X]:(~happy(X))))&
(![X]:(g... | ~creative(paul) | [
"p0",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1609495403110529799845330
% SZS output start Proof for 1609495403110529799845330
1. old(paul) => ? [X0] : (rich(X0) & kind(X0)) [input p0]
3. ! [X0] : ((creative(X0) <~> patient(X0)) <=> (~funny(X0) & happy(X0))) [input p2]
11. ! [X0] : ((old(X0) | happy(X0)) <=> (~happy(X0) & patient(X0)... | 0 |
Everyone who is either not kind or not generous is either not old or happy and vice versa.
Everyone who is either rich or quiet is not old or strong.
If someone is both strong and tall then someone is creative.
Everyone who is either not calm or not old is both creative and not patient.
Everyone who is both not calm an... | Susan is generous. | contradiction | (![X]:((~kind(X)<~>~generous(X))<=>(~old(X)<~>happy(X))))&
(![X]:((rich(X)<~>quiet(X))=>(~old(X)|strong(X))))&
((?[X]:((strong(X)&tall(X))))=>(?[X]:(creative(X))))&
(![X]:((~calm(X)<~>~old(X))=>(creative(X)&~patient(X))))&
(![X]:((~calm(X)&~funny(X))=>(curious(X)&quiet(X))))&
(![X]:((~curious(X)|~kind(X))=>(~generous(X... | generous(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7471518444201721396964665
% SZS output start Proof for 7471518444201721396964665
11. ! [X0] : ((curious(X0) & generous(X0)) <=> ~curious(X0)) [input p10]
25. generous(susan) [input hypothesis]
51. ! [X0] : (((curious(X0) & generous(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) | ~ge... | 0 |
Everyone who is either not happy or happy is tall and vice versa. Everyone who is either not patient or not tall is old or happy. If someone is not old or kind then susan is both wise and tall and vice versa. Everyone who is both not kind and old is not creative. Everyone who is creative or not strong is both strong an... | Susan is not old. | contradiction | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~tall(X))=>(old(X)|happy(X))))&
((?[X]:((~old(X)|kind(X))))<=>((wise(susan)&tall(susan))))&
(![X]:((~kind(X)&old(X))=>~creative(X)))&
(![X]:((creative(X)|~strong(X))=>(strong(X)&curious(X))))&
(((~strong(lucy)<~>~creative(lucy)))<=>(?[X]:((~happy(X)&~pati... | ~old(susan) | [
"p0",
"p1",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3070621802531024480602185
% SZS output start Proof for 3070621802531024480602185
1. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> tall(X0)) [input p0]
2. ! [X0] : ((~patient(X0) <~> ~tall(X0)) => (happy(X0) | old(X0))) [input p1]
8. ! [X0] : ((generous(X0) <~> old(X0)) <=> (~wise(X0) | ~humble... | 0 |
If someone is old then mary is either not kind or not curious.
Everyone who is tall is calm and vice versa.
Everyone who is funny is both not tall and strong and vice versa.
Everyone who is either wise or humble is both patient and creative and vice versa.
If someone is either humble or brave then mary is not patient o... | Lucy is not tall. | neutral | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(~tall(X)&strong(X))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X))))=>((~patient(mary)|generous(mary))))&
(![X]:((~generous(X)|~creative(X))=>~rich(X)))&
((?[X]:((~rich(X)<~>... | ~tall(lucy) | [] | null | 0 |
Everyone who is tall is either creative or not humble.
Everyone who is not kind or not curious is curious and vice versa.
Everyone who is rich is wise or happy and vice versa.
If lucy is both not strong and funny then mary is humble.
If fred is brave or tall then paul is either not wise or not creative and vice versa.
... | Paul is creative. | neutral | (![X]:(tall(X)=>(creative(X)<~>~humble(X))))&
(![X]:((~kind(X)|~curious(X))<=>curious(X)))&
(![X]:(rich(X)<=>(wise(X)|happy(X))))&
(((~strong(lucy)&funny(lucy)))=>(humble(mary)))&
(((brave(fred)|tall(fred)))<=>((~wise(paul)<~>~creative(paul))))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((quiet(X)<~>humble(X)))))&
((?[X]:... | creative(paul) | [] | null | 0 |
If someone is generous or not old then alice is not happy. If mary is happy then lucy is both not creative and wise. If someone is not brave or not kind then alice is not humble and vice versa. Everyone who is either not curious or not humble is both humble and not brave. Everyone who is either not old or not generous ... | John is not generous. | entailment | ((?[X]:((generous(X)|~old(X))))=>(~happy(alice)))&
((happy(mary))=>((~creative(lucy)&wise(lucy))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~humble(alice)))&
(![X]:((~curious(X)<~>~humble(X))=>(humble(X)&~brave(X))))&
(![X]:((~old(X)<~>~generous(X))=>~calm(X)))&
(((~calm(paul)|~happy(paul)))<=>(?[X]:(kind(X))))&
(((~creative... | ~generous(john) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4806681329669590854998634
% SZS output start Proof for 4806681329669590854998634
1. ? [X0] : (~old(X0) | generous(X0)) => ~happy(alice) [input p0]
13. (curious(susan) & ~rich(susan)) <=> ? [X0] : (~happy(X0) | humble(X0)) [input p12]
15. ! [X0] : ((~kind(X0) | curious(X0)) <=> (brave(X0) ... | 0 |
If fred is not rich then paul is both quiet and curious.
Everyone who is creative is curious or tall.
Everyone who is both not calm and tall is patient or not old.
Everyone who is humble or not creative is brave or curious and vice versa.
If fred is not tall or not happy then someone is both not brave and not generous ... | Fred is curious. | neutral | ((~rich(fred))=>((quiet(paul)&curious(paul))))&
(![X]:(creative(X)=>(curious(X)|tall(X))))&
(![X]:((~calm(X)&tall(X))=>(patient(X)|~old(X))))&
(![X]:((humble(X)|~creative(X))<=>(brave(X)|curious(X))))&
(((~tall(fred)|~happy(fred)))<=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:(generous(X)=>(strong(X)|~wise(X))))&
(![X]:... | curious(fred) | [] | null | 0 |
Everyone who is both curious and not quiet is either quiet or not calm and vice versa.
If alice is both curious and not brave then alice is either not humble or humble and vice versa.
If mary is either wise or not calm then someone is either not funny or not brave.
Everyone who is not rich or funny is either brave or n... | Lucy is humble. | entailment | (![X]:((curious(X)&~quiet(X))<=>(quiet(X)<~>~calm(X))))&
(((curious(alice)&~brave(alice)))<=>((~humble(alice)<~>humble(alice))))&
(((wise(mary)<~>~calm(mary)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((~rich(X)|funny(X))<=>(brave(X)<~>~tall(X))))&
(![X]:(~humble(X)<=>(curious(X)&~tall(X))))&
(![X]:((quiet(X)|~old(X))... | humble(lucy) | [
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 413269000422492923965772
% SZS output start Proof for 413269000422492923965772
2. (~brave(alice) & curious(alice)) <=> (~humble(alice) <~> humble(alice)) [input p1]
5. ! [X0] : (~humble(X0) <=> (~tall(X0) & curious(X0))) [input p4]
10. tall(lucy) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [inp... | 0 |
If lucy is both not kind and not strong then john is generous or not calm and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy ... | Lucy is not curious. | entailment | (((~kind(lucy)&~strong(lucy)))<=>((generous(john)|~calm(john))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((curio... | ~curious(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8449751131450921170608840
% SZS output start Proof for 8449751131450921170608840
1. (~strong(lucy) & ~kind(lucy)) <=> (~calm(john) | generous(john)) [input p0]
2. ! [X0] : ((~humble(X0) <~> strong(X0)) => happy(X0)) [input p1]
7. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (curious(X0) | rich(X... | 0 |
Everyone who is both generous and not calm is both tall and calm and vice versa. Everyone who is either kind or wise is both funny and quiet. Everyone who is not humble is both old and brave and vice versa. If someone is not strong then someone is not funny or wise and vice versa. Everyone who is not kind or old is eit... | Mary is not generous. | entailment | (![X]:((generous(X)&~calm(X))<=>(tall(X)&calm(X))))&
(![X]:((kind(X)<~>wise(X))=>(funny(X)&quiet(X))))&
(![X]:(~humble(X)<=>(old(X)&brave(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((~kind(X)|old(X))<=>(wise(X)<~>brave(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:((~b... | ~generous(mary) | [
"p0",
"p2",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2367183155606832276320672
% SZS output start Proof for 2367183155606832276320672
1. ! [X0] : ((~calm(X0) & generous(X0)) <=> (calm(X0) & tall(X0))) [input p0]
3. ! [X0] : (~humble(X0) <=> (brave(X0) & old(X0))) [input p2]
13. ? [X0] : (brave(X0) | calm(X0)) <=> (tall(mary) & strong(mary))... | 0 |
Everyone who is happy or funny is both patient and not happy.
Everyone who is old or not quiet is not wise.
Everyone who is kind or not wise is both kind and not wise.
Everyone who is not strong or not rich is both not brave and not humble.
Everyone who is either not happy or generous is either humble or generous and v... | John is not patient. | neutral | (![X]:((happy(X)|funny(X))=>(patient(X)&~happy(X))))&
(![X]:((old(X)|~quiet(X))=>~wise(X)))&
(![X]:((kind(X)|~wise(X))=>(kind(X)&~wise(X))))&
(![X]:((~strong(X)|~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~happy(X)<~>generous(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>~happy(X)))&
(((patient(p... | ~patient(john) | [] | null | 0 |
Everyone who is either funny or not humble is curious or not wise and vice versa.
Everyone who is curious or wise is both not patient and patient and vice versa.
Everyone who is both rich and patient is strong or old and vice versa.
Everyone who is old is both not curious and generous and vice versa.
If lucy is both pa... | Alice is not curious. | entailment | (![X]:((funny(X)<~>~humble(X))<=>(curious(X)|~wise(X))))&
(![X]:((curious(X)|wise(X))<=>(~patient(X)&patient(X))))&
(![X]:((rich(X)&patient(X))<=>(strong(X)|old(X))))&
(![X]:(old(X)<=>(~curious(X)&generous(X))))&
(((patient(lucy)&generous(lucy)))=>((~humble(paul)<~>creative(paul))))&
((?[X]:((~old(X)<~>~strong(X))))<=>... | ~curious(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 443521548654777674598631
% SZS output start Proof for 443521548654777674598631
2. ! [X0] : ((wise(X0) | curious(X0)) <=> (patient(X0) & ~patient(X0))) [input p1]
24. curious(alice) [input hypothesis]
35. ! [X0] : (((wise(X0) | curious(X0)) | (~patient(X0) | patient(X0))) & ((patient(X0) &... | 0 |
If lucy is tall then someone is not calm or not old and vice versa.
If john is either not tall or rich then lucy is old or patient and vice versa.
Everyone who is patient is both humble and rich.
Everyone who is both quiet and not generous is both not rich and curious.
Everyone who is funny is either not happy or not p... | Lucy is not generous. | entailment | ((tall(lucy))<=>(?[X]:((~calm(X)|~old(X)))))&
(((~tall(john)<~>rich(john)))<=>((old(lucy)|patient(lucy))))&
(![X]:(patient(X)=>(humble(X)&rich(X))))&
(![X]:((quiet(X)&~generous(X))=>(~rich(X)&curious(X))))&
(![X]:(funny(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((calm(X)&~quiet(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((gen... | ~generous(lucy) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5923471927908132010383250
% SZS output start Proof for 5923471927908132010383250
11. ! [X0] : (creative(X0) <=> (~strong(X0) | generous(X0))) [input p10]
13. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> creative(X0))) [input p12]
23. generous(lucy) [input hypothesis]
51. ! [X0] : ((creative... | 0 |
If susan is both old and kind then susan is not brave or not kind and vice versa.
If paul is either old or not patient then someone is not humble or not funny.
If someone is either brave or creative then mary is wise and vice versa.
Everyone who is either not tall or strong is not quiet or not calm.
Everyone who is bot... | Susan is kind. | entailment | (((old(susan)&kind(susan)))<=>((~brave(susan)|~kind(susan))))&
(((old(paul)<~>~patient(paul)))=>(?[X]:((~humble(X)|~funny(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>(wise(mary)))&
(![X]:((~tall(X)<~>strong(X))=>(~quiet(X)|~calm(X))))&
(![X]:((kind(X)&~rich(X))<=>(humble(X)<~>rich(X))))&
(![X]:(curious(X)<=>~humble(X)... | kind(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5726196654842817561455122
% SZS output start Proof for 5726196654842817561455122
1. (kind(susan) & old(susan)) <=> (~kind(susan) | ~brave(susan)) [input p0]
23. ~kind(susan) [input hypothesis]
36. ((kind(susan) & old(susan)) | (kind(susan) & brave(susan))) & ((~kind(susan) | ~brave(susan)... | 0 |
If lucy is both curious and humble then susan is not rich or not old.
If someone is not old or kind then someone is either not strong or old.
If susan is either not calm or not kind then someone is curious.
If alice is not rich or curious then john is either calm or wise.
Everyone who is either old or not generous is n... | Alice is wise. | contradiction | (((curious(lucy)&humble(lucy)))=>((~rich(susan)|~old(susan))))&
((?[X]:((~old(X)|kind(X))))=>(?[X]:((~strong(X)<~>old(X)))))&
(((~calm(susan)<~>~kind(susan)))=>(?[X]:(curious(X))))&
(((~rich(alice)|curious(alice)))=>((calm(john)<~>wise(john))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|quiet(X))))&
((?[X]:((curious(X)... | wise(alice) | [
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4091686423611050820967581
% SZS output start Proof for 4091686423611050820967581
8. ! [X0] : ((calm(X0) | ~happy(X0)) => ~quiet(X0)) [input p7]
9. ? [X0] : (~calm(X0) | ~brave(X0)) => ~wise(alice) [input p8]
23. ? [X0] : (~patient(X0) & quiet(X0)) [input p22]
25. wise(alice) [input hypoth... | 0 |
Everyone who is either not rich or not generous is creative or not rich and vice versa.
Everyone who is quiet or patient is not calm and vice versa.
If paul is brave then fred is both not tall and generous and vice versa.
If someone is tall or wise then john is both calm and not calm and vice versa.
Everyone who is cur... | Mary is not curious. | contradiction | (![X]:((~rich(X)<~>~generous(X))<=>(creative(X)|~rich(X))))&
(![X]:((quiet(X)|patient(X))<=>~calm(X)))&
((brave(paul))<=>((~tall(fred)&generous(fred))))&
((?[X]:((tall(X)|wise(X))))<=>((calm(john)&~calm(john))))&
(![X]:(curious(X)<=>(~old(X)<~>~wise(X))))&
(((happy(john)<~>calm(john)))<=>((brave(susan)<~>kind(susan))))... | ~curious(mary) | [
"p0",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5429381143462803204682114
% SZS output start Proof for 5429381143462803204682114
1. ! [X0] : ((~rich(X0) <~> ~generous(X0)) <=> (~rich(X0) | creative(X0))) [input p0]
7. ! [X0] : ((~curious(X0) <~> ~generous(X0)) => (curious(X0) & rich(X0))) [input p6]
17. generous(mary) <~> ~rich(mary) [... | 0 |
Everyone who is not tall is rich.
If john is funny or not strong then someone is not old or patient.
If paul is not wise then alice is both not curious and not calm and vice versa.
Everyone who is not humble is both not calm and brave.
If paul is either patient or not humble then fred is wise or strong.
Everyone who is... | John is not tall. | entailment | (![X]:(~tall(X)=>rich(X)))&
(((funny(john)|~strong(john)))=>(?[X]:((~old(X)|patient(X)))))&
((~wise(paul))<=>((~curious(alice)&~calm(alice))))&
(![X]:(~humble(X)=>(~calm(X)&brave(X))))&
(((patient(paul)<~>~humble(paul)))=>((wise(fred)|strong(fred))))&
(![X]:((funny(X)|~wise(X))<=>rich(X)))&
(![X]:((kind(X)<~>~kind(X))=... | ~tall(john) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1272157575591569145500818
% SZS output start Proof for 1272157575591569145500818
8. ! [X0] : (tall(X0) <=> (~wise(X0) & ~patient(X0))) [input p7]
12. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~wise(X0) <~> ~patient(X0))) [input p11]
23. tall(john) [input hypothesis]
43. ! [X0] : ((tall(X... | 0 |
If mary is both not brave and not happy then mary is generous or not patient and vice versa. If someone is both quiet and rich then lucy is not curious and vice versa. Everyone who is both not humble and happy is not brave and vice versa. If john is tall or strong then fred is either curious or not kind. Everyone who i... | Alice is brave. | entailment | (((~brave(mary)&~happy(mary)))<=>((generous(mary)|~patient(mary))))&
((?[X]:((quiet(X)&rich(X))))<=>(~curious(lucy)))&
(![X]:((~humble(X)&happy(X))<=>~brave(X)))&
(((tall(john)|strong(john)))=>((curious(fred)<~>~kind(fred))))&
(![X]:(tall(X)<=>(old(X)<~>~curious(X))))&
(![X]:(patient(X)<=>(~funny(X)&brave(X))))&
(![X]:... | brave(alice) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8903688719717672408196502
% SZS output start Proof for 8903688719717672408196502
3. ! [X0] : ((happy(X0) & ~humble(X0)) <=> ~brave(X0)) [input p2]
5. ! [X0] : (tall(X0) <=> (old(X0) <~> ~curious(X0))) [input p4]
7. ! [X0] : ((~happy(X0) <~> funny(X0)) => (kind(X0) <~> calm(X0))) [input p6... | 0 |
Everyone who is either not happy or humble is happy.
If someone is both wise and not curious then someone is tall.
If mary is wise or not tall then someone is both not happy and not patient.
Everyone who is creative is both curious and not quiet.
If someone is quiet then mary is rich or calm and vice versa.
Everyone wh... | Paul is happy. | entailment | (![X]:((~happy(X)<~>humble(X))=>happy(X)))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:(tall(X))))&
(((wise(mary)|~tall(mary)))=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:(creative(X)=>(curious(X)&~quiet(X))))&
((?[X]:(quiet(X)))<=>((rich(mary)|calm(mary))))&
(![X]:(patient(X)<=>(~patient(X)|happy(X))))&
(((kind(paul)&tall(... | happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7711919116908449541812869
% SZS output start Proof for 7711919116908449541812869
6. ! [X0] : (patient(X0) <=> (happy(X0) | ~patient(X0))) [input p5]
25. ~happy(paul) [input hypothesis]
50. ! [X0] : ((patient(X0) | (~happy(X0) & patient(X0))) & ((happy(X0) | ~patient(X0)) | ~patient(X0))) ... | 0 |
Everyone who is both strong and humble is not generous or happy and vice versa.
If susan is humble then fred is either not strong or not kind and vice versa.
Everyone who is generous or not patient is quiet or brave and vice versa.
Everyone who is not humble is either not creative or not patient.
If alice is happy or n... | Alice is curious. | neutral | (![X]:((strong(X)&humble(X))<=>(~generous(X)|happy(X))))&
((humble(susan))<=>((~strong(fred)<~>~kind(fred))))&
(![X]:((generous(X)|~patient(X))<=>(quiet(X)|brave(X))))&
(![X]:(~humble(X)=>(~creative(X)<~>~patient(X))))&
(((happy(alice)|~quiet(alice)))<=>((~kind(fred)|~quiet(fred))))&
((?[X]:((~quiet(X)&curious(X))))=>(... | curious(alice) | [] | null | 0 |
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