premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If lucy is wise then someone is rich.
Everyone who is not calm is either not kind or not strong.
Everyone who is patient or not kind is either not old or not strong and vice versa.
Everyone who is either quiet or strong is both not tall and not wise and vice versa.
Everyone who is strong or not wise is both not humble ... | Fred is not humble. | neutral | ((wise(lucy))=>(?[X]:(rich(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((patient(X)|~kind(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~tall(X)&~wise(X))))&
(![X]:((strong(X)|~wise(X))<=>(~humble(X)&kind(X))))&
(![X]:((generous(X)<~>~calm(X))=>~strong(X)))&
(![X]:((~kind(X)&~rich(X))=>(... | ~humble(fred) | [] | null | 0 |
If someone is not curious or not strong then lucy is not old and vice versa.
Everyone who is both not patient and not humble is patient and vice versa.
Everyone who is generous is either not patient or humble.
Everyone who is both not happy and not old is tall and vice versa.
Everyone who is either creative or rich is ... | Mary is happy. | neutral | ((?[X]:((~curious(X)|~strong(X))))<=>(~old(lucy)))&
(![X]:((~patient(X)&~humble(X))<=>patient(X)))&
(![X]:(generous(X)=>(~patient(X)<~>humble(X))))&
(![X]:((~happy(X)&~old(X))<=>tall(X)))&
(![X]:((creative(X)<~>rich(X))<=>(generous(X)|~rich(X))))&
((?[X]:((~humble(X)|~wise(X))))=>(?[X]:(quiet(X))))&
((?[X]:((wise(X)<~>... | happy(mary) | [] | null | 0 |
Everyone who is not creative is old or rich. If lucy is either not patient or not calm then susan is both kind and funny. Everyone who is calm or not happy is either not happy or not calm and vice versa. Everyone who is wise or old is both creative and not humble and vice versa. Everyone who is both strong and not crea... | Alice is quiet. | contradiction | (![X]:(~creative(X)=>(old(X)|rich(X))))&
(((~patient(lucy)<~>~calm(lucy)))=>((kind(susan)&funny(susan))))&
(![X]:((calm(X)|~happy(X))<=>(~happy(X)<~>~calm(X))))&
(![X]:((wise(X)|old(X))<=>(creative(X)&~humble(X))))&
(![X]:((strong(X)&~creative(X))=>(generous(X)&curious(X))))&
(![X]:((~strong(X)<~>old(X))<=>~patient(X))... | quiet(alice) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2587120487588589782477747
% SZS output start Proof for 2587120487588589782477747
3. ! [X0] : ((~happy(X0) | calm(X0)) <=> (~happy(X0) <~> ~calm(X0))) [input p2]
15. (~old(alice) & ~quiet(alice)) <=> ? [X0] : (~happy(X0) & calm(X0)) [input p14]
24. quiet(alice) [input hypothesis]
40. ! [X0... | 0 |
If someone is not generous then someone is tall.
Everyone who is either patient or curious is not kind and vice versa.
If mary is creative or not rich then someone is old or not happy and vice versa.
If alice is not rich or calm then someone is either not calm or happy.
Everyone who is either kind or humble is not funn... | John is not creative. | entailment | ((?[X]:(~generous(X)))=>(?[X]:(tall(X))))&
(![X]:((patient(X)<~>curious(X))<=>~kind(X)))&
(((creative(mary)|~rich(mary)))<=>(?[X]:((old(X)|~happy(X)))))&
(((~rich(alice)|calm(alice)))=>(?[X]:((~calm(X)<~>happy(X)))))&
(![X]:((kind(X)<~>humble(X))=>(~funny(X)|~old(X))))&
((?[X]:((~old(X)&~humble(X))))<=>(?[X]:(brave(X))... | ~creative(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6466110993981894436239258
% SZS output start Proof for 6466110993981894436239258
21. ~creative(john) & happy(john) [input p20]
25. creative(john) [input hypothesis]
129. ~creative(john) [cnf transformation 21]
133. creative(john) [cnf transformation 25]
250. $false [subsumption resolution... | 0 |
Everyone who is both not rich and wise is strong or funny. If someone is both quiet and funny then someone is both curious and tall and vice versa. If someone is both not quiet and not creative then lucy is old. Everyone who is either not patient or rich is not curious and vice versa. If someone is not brave or old the... | John is not creative. | neutral | (![X]:((~rich(X)&wise(X))=>(strong(X)|funny(X))))&
((?[X]:((quiet(X)&funny(X))))<=>(?[X]:((curious(X)&tall(X)))))&
((?[X]:((~quiet(X)&~creative(X))))=>(old(lucy)))&
(![X]:((~patient(X)<~>rich(X))<=>~curious(X)))&
((?[X]:((~brave(X)|old(X))))<=>((~calm(lucy)<~>strong(lucy))))&
(![X]:((wise(X)|~calm(X))=>(~happy(X)&gener... | ~creative(john) | [] | null | 0 |
Everyone who is wise or generous is either not strong or wise and vice versa. If susan is both not rich and not kind then someone is not kind and vice versa. If someone is either not old or not strong then mary is either strong or not generous and vice versa. If someone is either tall or kind then someone is not tall a... | Paul is not funny. | contradiction | (![X]:((wise(X)|generous(X))<=>(~strong(X)<~>wise(X))))&
(((~rich(susan)&~kind(susan)))<=>(?[X]:(~kind(X))))&
((?[X]:((~old(X)<~>~strong(X))))<=>((strong(mary)<~>~generous(mary))))&
((?[X]:((tall(X)<~>kind(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~happy(X)|~brave(X))))=>(~funny(mary)))&
(![X]:(humble(X)=>(quiet(X)<~>happy(... | ~funny(paul) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5776253467583309598241509
% SZS output start Proof for 5776253467583309598241509
11. ! [X0] : ((old(X0) | ~patient(X0)) <=> (~happy(X0) & funny(X0))) [input p10]
16. (calm(paul) | patient(paul)) <=> (old(paul) & patient(paul)) [input p15]
25. ~funny(paul) [input hypothesis]
62. ! [X0] : (... | 0 |
Everyone who is not brave or brave is not quiet or not curious and vice versa.
Everyone who is patient or generous is not calm or funny and vice versa.
If mary is generous then alice is either not generous or not strong and vice versa.
If john is not strong then someone is either not quiet or strong and vice versa.
Eve... | Fred is patient. | neutral | (![X]:((~brave(X)|brave(X))<=>(~quiet(X)|~curious(X))))&
(![X]:((patient(X)|generous(X))<=>(~calm(X)|funny(X))))&
((generous(mary))<=>((~generous(alice)<~>~strong(alice))))&
((~strong(john))<=>(?[X]:((~quiet(X)<~>strong(X)))))&
(![X]:(~strong(X)<=>(creative(X)&~calm(X))))&
((?[X]:(~old(X)))<=>((~old(john)|~happy(john))... | patient(fred) | [] | null | 0 |
If paul is creative or not strong then someone is both not happy and funny and vice versa.
If mary is strong then lucy is generous or calm.
Everyone who is both not old and not calm is tall.
Everyone who is both not humble and not generous is not kind and vice versa.
Everyone who is both not creative and kind is both c... | Paul is not old. | entailment | (((creative(paul)|~strong(paul)))<=>(?[X]:((~happy(X)&funny(X)))))&
((strong(mary))=>((generous(lucy)|calm(lucy))))&
(![X]:((~old(X)&~calm(X))=>tall(X)))&
(![X]:((~humble(X)&~generous(X))<=>~kind(X)))&
(![X]:((~creative(X)&kind(X))<=>(creative(X)&~patient(X))))&
((?[X]:((kind(X)|quiet(X))))=>(?[X]:((~kind(X)|~brave(X))... | ~old(paul) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6185762907818091214319039
% SZS output start Proof for 6185762907818091214319039
1. (~strong(paul) | creative(paul)) <=> ? [X0] : (funny(X0) & ~happy(X0)) [input p0]
13. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> happy(X0)) [input p12]
15. ! [X0] : ((calm(X0) & ~strong(X0)) <=> old(X0... | 0 |
If alice is either curious or not happy then someone is not kind or creative.
Everyone who is curious is either funny or calm and vice versa.
If mary is either kind or not old then mary is both not brave and not strong and vice versa.
If susan is either not brave or not rich then someone is calm.
Everyone who is either... | Lucy is not happy. | neutral | (((curious(alice)<~>~happy(alice)))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:(curious(X)<=>(funny(X)<~>calm(X))))&
(((kind(mary)<~>~old(mary)))<=>((~brave(mary)&~strong(mary))))&
(((~brave(susan)<~>~rich(susan)))=>(?[X]:(calm(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(funny(X)|~creative(X))))&
(![X]:((strong(X)&~creat... | ~happy(lucy) | [] | null | 0 |
Everyone who is either generous or wise is either not humble or not brave.
Everyone who is either not funny or strong is either not patient or rich and vice versa.
Everyone who is either funny or humble is brave or happy and vice versa.
Everyone who is brave is not funny and vice versa.
If someone is both not rich and ... | Mary is funny. | entailment | (![X]:((generous(X)<~>wise(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((~funny(X)<~>strong(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((funny(X)<~>humble(X))<=>(brave(X)|happy(X))))&
(![X]:(brave(X)<=>~funny(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~rich(X)<~>funny(X))=>(calm(X)|~curious... | funny(mary) | [
"p0",
"p1",
"p2",
"p3",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 391884668317316283975108
% SZS output start Proof for 391884668317316283975108
1. ! [X0] : ((generous(X0) <~> wise(X0)) => (~humble(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : ((~funny(X0) <~> strong(X0)) <=> (~patient(X0) <~> rich(X0))) [input p1]
3. ! [X0] : ((funny(X0) <~> humble(X0)) ... | 0 |
If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If someone is both funny and happy then someone is both brave and happy. Everyone who is either not funn... | Susan is curious. | contradiction | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(happy(X)&~old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~humble(X... | curious(susan) | [
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8897432866888341631859879
% SZS output start Proof for 8897432866888341631859879
2. ! [X0] : ((curious(X0) | ~old(X0)) => (~strong(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~old(X0) & happy(X0))) [input p4]
9. ! [X0] : ((happy(X0) & quiet(X0)) <=> ~strong(X... | 0 |
If someone is not kind then mary is kind or old and vice versa.
Everyone who is not old is both patient and not tall.
Everyone who is not happy is both wise and not funny.
Everyone who is not patient is both not curious and not humble and vice versa.
Everyone who is both funny and not kind is both not calm and not tall... | Susan is not curious. | neutral | ((?[X]:(~kind(X)))<=>((kind(mary)|old(mary))))&
(![X]:(~old(X)=>(patient(X)&~tall(X))))&
(![X]:(~happy(X)=>(wise(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~curious(X)&~humble(X))))&
(![X]:((funny(X)&~kind(X))<=>(~calm(X)&~tall(X))))&
(![X]:((quiet(X)<~>happy(X))<=>~curious(X)))&
((~curious(susan))=>(?[X]:((~tall(X)<~>kind... | ~curious(susan) | [] | null | 0 |
If paul is not generous or tall then someone is wise and vice versa.
Everyone who is either brave or old is both not quiet and generous and vice versa.
Everyone who is either not funny or not calm is either strong or creative.
If paul is both wise and strong then someone is tall.
Everyone who is brave is both not humbl... | Fred is not rich. | neutral | (((~generous(paul)|tall(paul)))<=>(?[X]:(wise(X))))&
(![X]:((brave(X)<~>old(X))<=>(~quiet(X)&generous(X))))&
(![X]:((~funny(X)<~>~calm(X))=>(strong(X)<~>creative(X))))&
(((wise(paul)&strong(paul)))=>(?[X]:(tall(X))))&
(![X]:(brave(X)<=>(~humble(X)&curious(X))))&
(![X]:(calm(X)<=>(strong(X)&funny(X))))&
(((creative(alic... | ~rich(fred) | [] | null | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | Lucy is wise. | contradiction | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | wise(lucy) | [
"p0",
"p2",
"p6",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8914626664965461423472497
% SZS output start Proof for 8914626664965461423472497
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => kind(X0)) [input p0]
3. ! [X0] : ((~patient(X0) | brave(X0)) <=> (rich(X0) <~> curious(X0))) [input p2]
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~quiet(X0) & ... | 0 |
Everyone who is either old or curious is both not strong and calm and vice versa.
Everyone who is either not strong or strong is either strong or not strong.
If someone is not humble then someone is creative.
Everyone who is both tall and not old is not generous or not quiet.
Everyone who is both generous and not happy... | John is not wise. | contradiction | (![X]:((old(X)<~>curious(X))<=>(~strong(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(strong(X)<~>~strong(X))))&
((?[X]:(~humble(X)))=>(?[X]:(creative(X))))&
(![X]:((tall(X)&~old(X))=>(~generous(X)|~quiet(X))))&
(![X]:((generous(X)&~happy(X))=>(~happy(X)<~>~rich(X))))&
(![X]:((kind(X)<~>rich(X))<=>(~old(X)|~funny(X)... | ~wise(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8070129164785527887776647
% SZS output start Proof for 8070129164785527887776647
1. ! [X0] : ((old(X0) <~> curious(X0)) <=> (calm(X0) & ~strong(X0))) [input p0]
5. ! [X0] : ((~happy(X0) & generous(X0)) => (~happy(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~fu... | 0 |
Everyone who is either funny or not kind is either not wise or wise and vice versa.
Everyone who is not wise or not brave is kind and vice versa.
If someone is both quiet and not wise then john is either tall or not rich and vice versa.
If someone is not calm or curious then lucy is either calm or not curious.
Everyone... | Paul is rich. | entailment | (![X]:((funny(X)<~>~kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~wise(X)|~brave(X))<=>kind(X)))&
((?[X]:((quiet(X)&~wise(X))))<=>((tall(john)<~>~rich(john))))&
((?[X]:((~calm(X)|curious(X))))=>((calm(lucy)<~>~curious(lucy))))&
(![X]:(old(X)<=>~kind(X)))&
(![X]:((~brave(X)|~rich(X))=>(~brave(X)<~>~rich(X))))&
((?[X]:(str... | rich(paul) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2059815364749369902160962
% SZS output start Proof for 2059815364749369902160962
1. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~wise(X0) <~> wise(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : (old(X0) <=> ~kind(X0)) [input p4]
6. ! [X0] : ((~ric... | 0 |
Everyone who is patient or not old is quiet.
If lucy is creative then someone is both old and kind.
Everyone who is not quiet is both not rich and not strong.
Everyone who is not old or not brave is quiet.
If lucy is generous then alice is either quiet or not happy and vice versa.
If john is either quiet or patient the... | Lucy is not creative. | entailment | (![X]:((patient(X)|~old(X))=>quiet(X)))&
((creative(lucy))=>(?[X]:((old(X)&kind(X)))))&
(![X]:(~quiet(X)=>(~rich(X)&~strong(X))))&
(![X]:((~old(X)|~brave(X))=>quiet(X)))&
((generous(lucy))<=>((quiet(alice)<~>~happy(alice))))&
(((quiet(john)<~>patient(john)))<=>(?[X]:((~wise(X)&old(X)))))&
(![X]:(tall(X)<=>curious(X)))&... | ~creative(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7877255077961822609181654
% SZS output start Proof for 7877255077961822609181654
2. creative(lucy) => ? [X0] : (kind(X0) & old(X0)) [input p1]
12. ! [X0] : ((old(X0) & ~brave(X0)) <=> brave(X0)) [input p11]
24. creative(lucy) [input hypothesis]
27. ? [X0] : (kind(X0) & old(X0)) | ~creativ... | 0 |
Everyone who is either not curious or not happy is both not funny and brave.
Everyone who is curious is both generous and not generous.
If someone is generous then mary is calm.
Everyone who is kind or not funny is either not kind or patient.
Everyone who is not funny or funny is both not wise and not generous and vice... | John is generous. | contradiction | (![X]:((~curious(X)<~>~happy(X))=>(~funny(X)&brave(X))))&
(![X]:(curious(X)=>(generous(X)&~generous(X))))&
((?[X]:(generous(X)))=>(calm(mary)))&
(![X]:((kind(X)|~funny(X))=>(~kind(X)<~>patient(X))))&
(![X]:((~funny(X)|funny(X))<=>(~wise(X)&~generous(X))))&
(((~generous(susan)|rich(susan)))=>(?[X]:((~funny(X)<~>brave(X)... | generous(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 151476555476524535375181
% SZS output start Proof for 151476555476524535375181
5. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~generous(X0) & ~wise(X0))) [input p4]
23. generous(john) [input hypothesis]
38. ! [X0] : (((funny(X0) | ~funny(X0)) | (generous(X0) | wise(X0))) & ((~generous(X0) & ~... | 0 |
Everyone who is both not tall and not generous is happy or wise.
If someone is either not old or wise then lucy is happy or humble and vice versa.
Everyone who is either not tall or not patient is both kind and happy and vice versa.
If john is not curious then someone is not old or not calm and vice versa.
If fred is n... | Paul is curious. | neutral | (![X]:((~tall(X)&~generous(X))=>(happy(X)|wise(X))))&
((?[X]:((~old(X)<~>wise(X))))<=>((happy(lucy)|humble(lucy))))&
(![X]:((~tall(X)<~>~patient(X))<=>(kind(X)&happy(X))))&
((~curious(john))<=>(?[X]:((~old(X)|~calm(X)))))&
((~quiet(fred))<=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~strong(X)&happy(X))<=>~creative(X)))&... | curious(paul) | [] | null | 0 |
If someone is either not creative or not patient then someone is either not kind or funny.
Everyone who is either creative or not funny is both not rich and old and vice versa.
Everyone who is both not tall and happy is rich or not humble and vice versa.
If someone is both not rich and not strong then someone is not ol... | John is not happy. | contradiction | ((?[X]:((~creative(X)<~>~patient(X))))=>(?[X]:((~kind(X)<~>funny(X)))))&
(![X]:((creative(X)<~>~funny(X))<=>(~rich(X)&old(X))))&
(![X]:((~tall(X)&happy(X))<=>(rich(X)|~humble(X))))&
((?[X]:((~rich(X)&~strong(X))))<=>(?[X]:((~old(X)|wise(X)))))&
(![X]:((~wise(X)|curious(X))<=>(~funny(X)<~>~tall(X))))&
(![X]:(~tall(X)=>(... | ~happy(john) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3072218892434728981607297
% SZS output start Proof for 3072218892434728981607297
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (~humble(X0) | rich(X0))) [input p2]
17. rich(john) [input p16]
25. ~happy(john) [input hypothesis]
49. ! [X0] : (((happy(X0) & ~tall(X0)) | (humble(X0) & ~rich(X0))) ... | 0 |
If lucy is either wise or not funny then lucy is quiet or not happy and vice versa.
If paul is curious or brave then someone is humble.
Everyone who is both wise and not humble is both calm and wise.
Everyone who is both old and not funny is both funny and strong and vice versa.
Everyone who is kind is both funny and n... | Lucy is not funny. | contradiction | (((wise(lucy)<~>~funny(lucy)))<=>((quiet(lucy)|~happy(lucy))))&
(((curious(paul)|brave(paul)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&~humble(X))=>(calm(X)&wise(X))))&
(![X]:((old(X)&~funny(X))<=>(funny(X)&strong(X))))&
(![X]:(kind(X)=>(funny(X)&~strong(X))))&
(![X]:((rich(X)&~curious(X))<=>(~creative(X)&creative(X))))&... | ~funny(lucy) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 38649649868641201618119
% SZS output start Proof for 38649649868641201618119
5. ! [X0] : (kind(X0) => (~strong(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & ~tall(X0)) <=> ~kind(X0)) [input p6]
8. ? [X0] : (generous(X0) | ~patient(X0)) => ? [X0] : (~funny(X0) & ~strong(X0)) [inp... | 0 |
Everyone who is old or creative is both strong and not rich.
If fred is not curious then alice is either not brave or curious and vice versa.
Everyone who is not kind or not calm is patient.
Everyone who is not patient is happy or funny.
Everyone who is not calm or creative is old or patient.
If someone is humble then ... | Lucy is not happy. | neutral | (![X]:((old(X)|creative(X))=>(strong(X)&~rich(X))))&
((~curious(fred))<=>((~brave(alice)<~>curious(alice))))&
(![X]:((~kind(X)|~calm(X))=>patient(X)))&
(![X]:(~patient(X)=>(happy(X)|funny(X))))&
(![X]:((~calm(X)|creative(X))=>(old(X)|patient(X))))&
((?[X]:(humble(X)))<=>(rich(lucy)))&
((?[X]:((~humble(X)&rich(X))))<=>(... | ~happy(lucy) | [] | null | 0 |
Everyone who is not calm or not curious is not generous and vice versa.
If mary is both not humble and not wise then someone is both not curious and not kind.
Everyone who is not quiet is strong or not calm.
If paul is tall or not brave then someone is both strong and not curious and vice versa.
Everyone who is not pat... | John is not brave. | neutral | (![X]:((~calm(X)|~curious(X))<=>~generous(X)))&
(((~humble(mary)&~wise(mary)))=>(?[X]:((~curious(X)&~kind(X)))))&
(![X]:(~quiet(X)=>(strong(X)|~calm(X))))&
(((tall(paul)|~brave(paul)))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:(~patient(X)=>(~patient(X)|old(X))))&
(((~generous(susan)<~>~quiet(susan)))=>(?[X]:((generou... | ~brave(john) | [] | null | 0 |
Everyone who is calm or quiet is both not patient and creative and vice versa.
Everyone who is not calm is not creative or not happy.
Everyone who is not happy or not curious is both calm and not rich.
Everyone who is both not curious and not old is either not calm or not funny and vice versa.
Everyone who is either ta... | John is not wise. | neutral | (![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(~brave(X)<~>~quiet(X))))&
((?[X]:((old(X)|quiet(X))))<=>((rich(fred)|curious... | ~wise(john) | [] | null | 0 |
If lucy is not generous then someone is quiet and vice versa.
If alice is kind or strong then someone is patient or not humble.
If paul is both humble and patient then someone is both rich and old.
If susan is not generous or brave then someone is not wise or not calm and vice versa.
If someone is either not tall or ol... | Susan is brave. | contradiction | ((~generous(lucy))<=>(?[X]:(quiet(X))))&
(((kind(alice)|strong(alice)))=>(?[X]:((patient(X)|~humble(X)))))&
(((humble(paul)&patient(paul)))=>(?[X]:((rich(X)&old(X)))))&
(((~generous(susan)|brave(susan)))<=>(?[X]:((~wise(X)|~calm(X)))))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((strong(X)&tall(X)))))&
(((~creative(fred)&o... | brave(susan) | [
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8915982851270889224554833
% SZS output start Proof for 8915982851270889224554833
5. ? [X0] : (~tall(X0) <~> old(X0)) <=> ? [X0] : (tall(X0) & strong(X0)) [input p4]
10. ! [X0] : (old(X0) <=> (~humble(X0) & creative(X0))) [input p9]
12. ! [X0] : ((tall(X0) | wise(X0)) <=> (funny(X0) & ~fun... | 0 |
If someone is quiet then susan is both tall and old and vice versa. If someone is not quiet or not tall then someone is both calm and not strong and vice versa. If someone is not calm or not old then fred is not rich or quiet and vice versa. If mary is both not quiet and happy then someone is both not funny and not hap... | Susan is tall. | neutral | ((?[X]:(quiet(X)))<=>((tall(susan)&old(susan))))&
((?[X]:((~quiet(X)|~tall(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
((?[X]:((~calm(X)|~old(X))))<=>((~rich(fred)|quiet(fred))))&
(((~quiet(mary)&happy(mary)))<=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((calm(X)|~humble(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:((~happy(X)&humble... | tall(susan) | [] | null | 0 |
Everyone who is not old or not wise is both tall and patient.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either not wise or creative and v... | Alice is calm. | neutral | (![X]:((~old(X)|~wise(X))=>(tall(X)&patient(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
(![X]:((~k... | calm(alice) | [] | null | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa.
If someone is rich then someone is wise or not funny and vice versa.
If someone is not creative then paul is generous or not happy and vice versa.
Everyone who is humble is strong.
If lucy is either not brave or patient then someone i... | Paul is calm. | neutral | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:(rich(X)))<=>(?[X]:((wise(X)|~funny(X)))))&
((?[X]:(~creative(X)))<=>((generous(paul)|~happy(paul))))&
(![X]:(humble(X)=>strong(X)))&
(((~brave(lucy)<~>patient(lucy)))<=>(?[X]:((~kind(X)&quiet(X)))))&
((?[X]:(~generous(X)))=>((happy(fred)&~tall(fred))))&
(![X]:... | calm(paul) | [] | null | 0 |
If someone is curious or strong then someone is both tall and happy. If someone is creative then lucy is both not brave and not rich and vice versa. If fred is strong or not tall then paul is either not generous or brave and vice versa. If someone is either quiet or kind then alice is rich or not happy and vice versa. ... | Fred is not quiet. | entailment | ((?[X]:((curious(X)|strong(X))))=>(?[X]:((tall(X)&happy(X)))))&
((?[X]:(creative(X)))<=>((~brave(lucy)&~rich(lucy))))&
(((strong(fred)|~tall(fred)))<=>((~generous(paul)<~>brave(paul))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((rich(alice)|~happy(alice))))&
((?[X]:((~strong(X)&calm(X))))<=>((quiet(mary)<~>tall(mary))))&
(![X... | ~quiet(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3246686282471603135749491
% SZS output start Proof for 3246686282471603135749491
16. ! [X0] : ((funny(X0) | ~funny(X0)) => (happy(X0) & ~quiet(X0))) [input p15]
25. quiet(fred) [input hypothesis]
36. ! [X0] : ((happy(X0) & ~quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 16]
1... | 0 |
Everyone who is brave is both kind and not patient and vice versa.
If paul is either wise or curious then mary is brave or not calm.
Everyone who is either old or funny is not happy or not generous and vice versa.
Everyone who is kind or not calm is either wise or not humble and vice versa.
Everyone who is both brave a... | John is calm. | neutral | (![X]:(brave(X)<=>(kind(X)&~patient(X))))&
(((wise(paul)<~>curious(paul)))=>((brave(mary)|~calm(mary))))&
(![X]:((old(X)<~>funny(X))<=>(~happy(X)|~generous(X))))&
(![X]:((kind(X)|~calm(X))<=>(wise(X)<~>~humble(X))))&
(![X]:((brave(X)&humble(X))=>(~patient(X)|curious(X))))&
(![X]:((~patient(X)&creative(X))=>(humble(X)<~... | calm(john) | [] | null | 0 |
Everyone who is not rich is both not kind and kind.
Everyone who is wise is not quiet or happy and vice versa.
If mary is not curious then someone is either not brave or not old and vice versa.
Everyone who is either not rich or funny is not funny or tall.
Everyone who is happy is both not kind and quiet.
If someone is... | Mary is not generous. | entailment | (![X]:(~rich(X)=>(~kind(X)&kind(X))))&
(![X]:(wise(X)<=>(~quiet(X)|happy(X))))&
((~curious(mary))<=>(?[X]:((~brave(X)<~>~old(X)))))&
(![X]:((~rich(X)<~>funny(X))=>(~funny(X)|tall(X))))&
(![X]:(happy(X)=>(~kind(X)&quiet(X))))&
((?[X]:(~generous(X)))=>((wise(mary)<~>old(mary))))&
(![X]:((old(X)<~>~curious(X))=>(curious(X... | ~generous(mary) | [
"p0",
"p2",
"p6",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 245297449661690575780835
% SZS output start Proof for 245297449661690575780835
1. ! [X0] : (~rich(X0) => (kind(X0) & ~kind(X0))) [input p0]
3. ~curious(mary) <=> ? [X0] : (~brave(X0) <~> ~old(X0)) [input p2]
7. ! [X0] : ((old(X0) <~> ~curious(X0)) => (~curious(X0) & curious(X0))) [input p... | 0 |
If lucy is either wise or not quiet then lucy is not funny and vice versa.
If someone is both patient and rich then someone is both not quiet and not funny.
If someone is not humble or happy then someone is either not generous or not creative.
Everyone who is either not brave or humble is both curious and not rich.
Eve... | Lucy is not humble. | entailment | (((wise(lucy)<~>~quiet(lucy)))<=>(~funny(lucy)))&
((?[X]:((patient(X)&rich(X))))=>(?[X]:((~quiet(X)&~funny(X)))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((~generous(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>humble(X))=>(curious(X)&~rich(X))))&
(![X]:((curious(X)|~funny(X))=>(patient(X)|~quiet(X))))&
(![X]:((~humble(X... | ~humble(lucy) | [
"p3",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1152730307299142151159005
% SZS output start Proof for 1152730307299142151159005
4. ! [X0] : ((~brave(X0) <~> humble(X0)) => (~rich(X0) & curious(X0))) [input p3]
8. ! [X0] : ((~funny(X0) | strong(X0)) <=> (~brave(X0) <~> funny(X0))) [input p7]
9. ! [X0] : (humble(X0) => (~happy(X0) & fun... | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If someone is happy then mary is both not kind and not brave and vice versa.
If john is not rich then someone is not humble or not strong.
Everyone who is happy is not strong or not humble and vice versa.
If someone is both not calm ... | Mary is not generous. | neutral | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((?[X]:(happy(X)))<=>((~kind(mary)&~brave(mary))))&
((~rich(john))=>(?[X]:((~humble(X)|~strong(X)))))&
(![X]:(happy(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>((~brave(susan)&curious(susan))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~gen... | ~generous(mary) | [] | null | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If lucy is tall or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who is both g... | Paul is not calm. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((tall(lucy)|~brave(lucy)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~calm(paul) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2730689365493795009621482
% SZS output start Proof for 2730689365493795009621482
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
3. ? [X0] : patient(X0) <=> ? [X0] : happy(X0) [input p2]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) ... | 0 |
Everyone who is both not strong and strong is funny.
Everyone who is not wise or quiet is not brave.
Everyone who is quiet or rich is not humble or not tall.
Everyone who is both calm and not strong is calm or not old and vice versa.
Everyone who is not strong or not rich is both not calm and not curious.
Everyone who ... | John is strong. | entailment | (![X]:((~strong(X)&strong(X))=>funny(X)))&
(![X]:((~wise(X)|quiet(X))=>~brave(X)))&
(![X]:((quiet(X)|rich(X))=>(~humble(X)|~tall(X))))&
(![X]:((calm(X)&~strong(X))<=>(calm(X)|~old(X))))&
(![X]:((~strong(X)|~rich(X))=>(~calm(X)&~curious(X))))&
(![X]:((kind(X)<~>~creative(X))=>wise(X)))&
((?[X]:((~tall(X)|~curious(X))))<... | strong(john) | [
"p1",
"p2",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 27875003726310367831461
% SZS output start Proof for 27875003726310367831461
2. ! [X0] : ((quiet(X0) | ~wise(X0)) => ~brave(X0)) [input p1]
3. ! [X0] : ((rich(X0) | quiet(X0)) => (~tall(X0) | ~humble(X0))) [input p2]
11. ! [X0] : ((~old(X0) | humble(X0)) => quiet(X0)) [input p10]
12. ! [X... | 0 |
If someone is rich then someone is either strong or not strong. If alice is either not quiet or old then someone is both wise and not calm and vice versa. Everyone who is generous or not tall is either not calm or not humble and vice versa. Everyone who is either not rich or creative is both brave and creative. If alic... | Fred is not creative. | contradiction | ((?[X]:(rich(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~quiet(alice)<~>old(alice)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X... | ~creative(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 371546369163749691233377
% SZS output start Proof for 371546369163749691233377
3. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p2]
6. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p5]
7. ! [X0] : ((happy(X0) & ~strong(X0)) => t... | 0 |
Everyone who is either not happy or creative is both wise and happy.
Everyone who is either creative or generous is either not brave or tall.
If susan is not tall or not generous then fred is either not patient or not old and vice versa.
If someone is both not tall and quiet then someone is either not quiet or kind and... | Susan is humble. | entailment | (![X]:((~happy(X)<~>creative(X))=>(wise(X)&happy(X))))&
(![X]:((creative(X)<~>generous(X))=>(~brave(X)<~>tall(X))))&
(((~tall(susan)|~generous(susan)))<=>((~patient(fred)<~>~old(fred))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((~tall(alice)|tall(alice)))=>((kind(susan)|calm(susan))))&
(![X]:... | humble(susan) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3518683479370950490619487
% SZS output start Proof for 3518683479370950490619487
1. ! [X0] : ((~happy(X0) <~> creative(X0)) => (happy(X0) & wise(X0))) [input p0]
6. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (~happy(X0) <~> happy(X0))) [input p5]
8. ! [X0] : ((creative(X0) & humble(X0)) <=... | 0 |
If alice is not calm or funny then someone is both not creative and not generous and vice versa.
Everyone who is both kind and wise is either kind or not funny.
Everyone who is calm or not happy is not kind or happy and vice versa.
If someone is not patient then john is both curious and strong and vice versa.
If someon... | Mary is not patient. | entailment | (((~calm(alice)|funny(alice)))<=>(?[X]:((~creative(X)&~generous(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)<~>~funny(X))))&
(![X]:((calm(X)|~happy(X))<=>(~kind(X)|happy(X))))&
((?[X]:(~patient(X)))<=>((curious(john)&strong(john))))&
((?[X]:((~kind(X)<~>curious(X))))=>(?[X]:(curious(X))))&
((?[X]:(~generous(X)))=>(~curio... | ~patient(mary) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 477754269729736571574523
% SZS output start Proof for 477754269729736571574523
11. ! [X0] : ((old(X0) | ~kind(X0)) <=> ~old(X0)) [input p10]
12. ! [X0] : (patient(X0) <=> (quiet(X0) & brave(X0))) [input p11]
14. ! [X0] : ((old(X0) & ~kind(X0)) <=> (patient(X0) <~> ~brave(X0))) [input p13]... | 0 |
Everyone who is kind or wise is curious and vice versa. Everyone who is humble is funny. Everyone who is kind is either not brave or patient. Everyone who is both not quiet and not curious is not happy or not old. Everyone who is either not brave or not old is not calm or generous. Everyone who is generous or not rich ... | Alice is wise. | entailment | (![X]:((kind(X)|wise(X))<=>curious(X)))&
(![X]:(humble(X)=>funny(X)))&
(![X]:(kind(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~happy(X)|~old(X))))&
(![X]:((~brave(X)<~>~old(X))=>(~calm(X)|generous(X))))&
(![X]:((generous(X)|~rich(X))<=>rich(X)))&
(![X]:(strong(X)=>(~kind(X)&~generous(X))))&
(![X]:... | wise(alice) | [
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5539694322786364100395550
% SZS output start Proof for 5539694322786364100395550
6. ! [X0] : ((~rich(X0) | generous(X0)) <=> rich(X0)) [input p5]
10. kind(paul) <=> (humble(alice) | ~wise(alice)) [input p9]
13. ! [X0] : ((kind(X0) | ~generous(X0)) <=> ~rich(X0)) [input p12]
25. ~wise(alic... | 0 |
Everyone who is not old is tall and vice versa.
If someone is both not calm and curious then john is both tall and not tall.
If someone is either calm or not wise then mary is both patient and not wise and vice versa.
Everyone who is both not humble and funny is calm or not tall and vice versa.
Everyone who is either w... | Lucy is creative. | contradiction | (![X]:(~old(X)<=>tall(X)))&
((?[X]:((~calm(X)&curious(X))))=>((tall(john)&~tall(john))))&
((?[X]:((calm(X)<~>~wise(X))))<=>((patient(mary)&~wise(mary))))&
(![X]:((~humble(X)&funny(X))<=>(calm(X)|~tall(X))))&
(![X]:((wise(X)<~>tall(X))<=>wise(X)))&
(![X]:((kind(X)&~brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)&~... | creative(lucy) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6315270243988102743272733
% SZS output start Proof for 6315270243988102743272733
4. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (~tall(X0) | calm(X0))) [input p3]
5. ! [X0] : ((wise(X0) <~> tall(X0)) <=> wise(X0)) [input p4]
14. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> (~creative(X0) <~> ~b... | 0 |
If someone is both not funny and not wise then john is either generous or not calm and vice versa.
Everyone who is both not curious and tall is not calm or not rich and vice versa.
Everyone who is old or not tall is either not strong or not funny.
If fred is both generous and not tall then fred is not happy or humble.
... | Fred is wise. | contradiction | ((?[X]:((~funny(X)&~wise(X))))<=>((generous(john)<~>~calm(john))))&
(![X]:((~curious(X)&tall(X))<=>(~calm(X)|~rich(X))))&
(![X]:((old(X)|~tall(X))=>(~strong(X)<~>~funny(X))))&
(((generous(fred)&~tall(fred)))=>((~happy(fred)|humble(fred))))&
(![X]:((brave(X)&happy(X))<=>(~curious(X)|~old(X))))&
(((creative(john)|~strong... | wise(fred) | [
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4041120298245385519276225
% SZS output start Proof for 4041120298245385519276225
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~rich(X0) | ~calm(X0))) [input p1]
9. ! [X0] : (~curious(X0) => (rich(X0) & calm(X0))) [input p8]
10. ! [X0] : ((rich(X0) | brave(X0)) => (~wise(X0) & funny(X0))) [... | 0 |
If someone is not rich or not kind then someone is either not strong or kind and vice versa.
Everyone who is happy or not funny is funny or not calm.
Everyone who is both not strong and funny is happy or not generous and vice versa.
If someone is either not curious or not funny then someone is not rich and vice versa.
... | Paul is tall. | neutral | ((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:((happy(X)|~funny(X))=>(funny(X)|~calm(X))))&
(![X]:((~strong(X)&funny(X))<=>(happy(X)|~generous(X))))&
((?[X]:((~curious(X)<~>~funny(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
(![X]:((~funny(X)<~>~calm(X))... | tall(paul) | [] | null | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | Mary is humble. | neutral | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | humble(mary) | [] | null | 0 |
If alice is both not generous and rich then someone is not patient and vice versa. Everyone who is funny or generous is not funny and vice versa. Everyone who is both not tall and happy is kind. Everyone who is either not calm or humble is not generous or calm. If someone is either happy or not calm then someone is eit... | Mary is not old. | neutral | (((~generous(alice)&rich(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)|generous(X))<=>~funny(X)))&
(![X]:((~tall(X)&happy(X))=>kind(X)))&
(![X]:((~calm(X)<~>humble(X))=>(~generous(X)|calm(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((strong(alice)&~tall(alice)))<=>((~wise(susan)|~gen... | ~old(mary) | [] | null | 0 |
Everyone who is both not wise and not old is both not wise and brave.
Everyone who is both not funny and not calm is quiet and vice versa.
If susan is not humble then lucy is both rich and calm and vice versa.
Everyone who is either not quiet or rich is either not funny or not wise.
Everyone who is both not rich and ki... | Mary is kind. | neutral | (![X]:((~wise(X)&~old(X))=>(~wise(X)&brave(X))))&
(![X]:((~funny(X)&~calm(X))<=>quiet(X)))&
((~humble(susan))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~quiet(X)<~>rich(X))=>(~funny(X)<~>~wise(X))))&
(![X]:((~rich(X)&kind(X))=>~generous(X)))&
(![X]:((wise(X)&patient(X))=>(~generous(X)<~>~tall(X))))&
(((~calm(john)<~>creati... | kind(mary) | [] | null | 0 |
Everyone who is not humble or funny is not strong or quiet and vice versa. Everyone who is funny is tall. Everyone who is either wise or not tall is both curious and generous. If fred is calm then mary is kind. Everyone who is not humble is calm and vice versa. If someone is both calm and not happy then paul is both no... | John is calm. | entailment | (![X]:((~humble(X)|funny(X))<=>(~strong(X)|quiet(X))))&
(![X]:(funny(X)=>tall(X)))&
(![X]:((wise(X)<~>~tall(X))=>(curious(X)&generous(X))))&
((calm(fred))=>(kind(mary)))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:((calm(X)&~happy(X))))=>((~funny(paul)&~kind(paul))))&
((~funny(john))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:(... | calm(john) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6274017044344735624268827
% SZS output start Proof for 6274017044344735624268827
5. ! [X0] : (~humble(X0) <=> calm(X0)) [input p4]
8. ! [X0] : ((humble(X0) | ~rich(X0)) => (~humble(X0) & ~patient(X0))) [input p7]
23. ~calm(john) [input hypothesis]
29. ! [X0] : ((~humble(X0) & ~patient(X0)... | 0 |
Everyone who is both not kind and not old is quiet or not happy.
If susan is both not generous and creative then fred is either not happy or funny and vice versa.
Everyone who is either not strong or calm is both not rich and not brave and vice versa.
If susan is not quiet then paul is both not brave and not rich and v... | Mary is not creative. | entailment | (![X]:((~kind(X)&~old(X))=>(quiet(X)|~happy(X))))&
(((~generous(susan)&creative(susan)))<=>((~happy(fred)<~>funny(fred))))&
(![X]:((~strong(X)<~>calm(X))<=>(~rich(X)&~brave(X))))&
((~quiet(susan))<=>((~brave(paul)&~rich(paul))))&
(![X]:((~humble(X)<~>strong(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((old(X)|funny(X))))<=... | ~creative(mary) | [
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8511283750212030928727561
% SZS output start Proof for 8511283750212030928727561
9. ! [X0] : ((~tall(X0) | ~humble(X0)) => (~curious(X0) & wise(X0))) [input p8]
11. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (old(X0) | funny(X0))) [input p10]
13. ! [X0] : (creative(X0) => old(X0)) [input p1... | 0 |
If someone is not rich or calm then alice is both tall and not kind.
Everyone who is both not old and not wise is either humble or tall and vice versa.
Everyone who is both generous and funny is not tall or not funny and vice versa.
Everyone who is not wise or generous is not funny or not quiet and vice versa.
Everyone... | Susan is not humble. | neutral | ((?[X]:((~rich(X)|calm(X))))=>((tall(alice)&~kind(alice))))&
(![X]:((~old(X)&~wise(X))<=>(humble(X)<~>tall(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)|~funny(X))))&
(![X]:((~wise(X)|generous(X))<=>(~funny(X)|~quiet(X))))&
(![X]:(generous(X)=>(kind(X)&happy(X))))&
(![X]:((funny(X)&~calm(X))<=>(curious(X)<~>wise(X))... | ~humble(susan) | [] | null | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Mary is brave. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | brave(mary) | [
"p2",
"p6",
"p7",
"p8",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2160093981432105366867180
% SZS output start Proof for 2160093981432105366867180
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
7. ? [X0] : (humble(X0) <~> brave(X0)) => (~kind(mary) | humble(mary)) [input p6]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> ... | 0 |
If someone is not generous or not brave then someone is not strong or humble.
Everyone who is either calm or not happy is not creative or patient and vice versa.
If someone is not kind or kind then someone is either humble or not happy and vice versa.
Everyone who is generous or not wise is wise and vice versa.
If some... | Alice is not tall. | contradiction | ((?[X]:((~generous(X)|~brave(X))))=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:((calm(X)<~>~happy(X))<=>(~creative(X)|patient(X))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((humble(X)<~>~happy(X)))))&
(![X]:((generous(X)|~wise(X))<=>wise(X)))&
((?[X]:((~happy(X)&~tall(X))))=>((quiet(john)<~>calm(john))))&
(![X]:((creative(X... | ~tall(alice) | [
"p5",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 746768985449421454079424
% SZS output start Proof for 746768985449421454079424
6. ! [X0] : ((~happy(X0) & creative(X0)) <=> (tall(X0) <~> humble(X0))) [input p5]
8. ! [X0] : (~humble(X0) => (tall(X0) & ~rich(X0))) [input p7]
23. funny(alice) & happy(alice) [input p22]
24. ~tall(alice) [in... | 0 |
Everyone who is both rich and kind is both kind and not brave.
Everyone who is both not strong and not calm is not tall or not creative and vice versa.
Everyone who is creative or not funny is patient and vice versa.
Everyone who is both not calm and not generous is generous.
If susan is wise or old then lucy is not br... | Alice is not creative. | neutral | (![X]:((rich(X)&kind(X))=>(kind(X)&~brave(X))))&
(![X]:((~strong(X)&~calm(X))<=>(~tall(X)|~creative(X))))&
(![X]:((creative(X)|~funny(X))<=>patient(X)))&
(![X]:((~calm(X)&~generous(X))=>generous(X)))&
(((wise(susan)|old(susan)))<=>(~brave(lucy)))&
(((generous(john)&~humble(john)))=>((~creative(alice)&~kind(alice))))&
(... | ~creative(alice) | [] | null | 0 |
If john is rich or humble then mary is not creative or rich and vice versa.
Everyone who is either not calm or patient is either not rich or humble and vice versa.
Everyone who is either patient or kind is either not funny or not kind and vice versa.
Everyone who is not patient is either not rich or not happy.
Everyone... | John is old. | entailment | (((rich(john)|humble(john)))<=>((~creative(mary)|rich(mary))))&
(![X]:((~calm(X)<~>patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((patient(X)<~>kind(X))<=>(~funny(X)<~>~kind(X))))&
(![X]:(~patient(X)=>(~rich(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)<~>calm(X))))&
(![X]:(brave(X)=>(~patient(X)|~wise(X))))&
(![X]:((... | old(john) | [
"p4",
"p6",
"p7",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1112847460812465458792068
% SZS output start Proof for 1112847460812465458792068
5. ! [X0] : (brave(X0) <=> (~wise(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((generous(X0) <~> old(X0)) => (creative(X0) & rich(X0))) [input p6]
8. ! [X0] : (kind(X0) <=> (kind(X0) <~> rich(X0))) [input p7]
1... | 0 |
If paul is not calm or brave then someone is both not old and not rich and vice versa.
Everyone who is brave or not wise is humble and vice versa.
Everyone who is not quiet or humble is both creative and not tall.
Everyone who is either not creative or generous is humble or not generous and vice versa.
Everyone who is ... | Paul is not brave. | entailment | (((~calm(paul)|brave(paul)))<=>(?[X]:((~old(X)&~rich(X)))))&
(![X]:((brave(X)|~wise(X))<=>humble(X)))&
(![X]:((~quiet(X)|humble(X))=>(creative(X)&~tall(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(humble(X)|~generous(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(~old(X)<~>curious(X))))&
(![X]:((~creative(X)&calm(X))<=>patie... | ~brave(paul) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8764686392268103692402591
% SZS output start Proof for 8764686392268103692402591
1. (brave(paul) | ~calm(paul)) <=> ? [X0] : (~rich(X0) & ~old(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~tall(X0) & creative(X0))) [input p2]
13. ! [X0] : ((~humble(X0) | creative(X0)) <=> (o... | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | Susan is not old. | contradiction | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | ~old(susan) | [
"p0",
"p2",
"p4",
"p5",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1932313511725874873900222
% SZS output start Proof for 1932313511725874873900222
1. ! [X0] : ((~generous(X0) <~> ~patient(X0)) => (rich(X0) & ~old(X0))) [input p0]
3. ! [X0] : ((generous(X0) | creative(X0)) => (~wise(X0) | old(X0))) [input p2]
5. ! [X0] : ((~funny(X0) | funny(X0)) => ~tal... | 0 |
Everyone who is either not wise or wise is wise. Everyone who is not kind or rich is not rich. Everyone who is both happy and patient is either not curious or tall. Everyone who is both rich and not calm is either not quiet or humble and vice versa. Everyone who is both not wise and happy is not old or not tall and vic... | Paul is tall. | entailment | (![X]:((~wise(X)<~>wise(X))=>wise(X)))&
(![X]:((~kind(X)|rich(X))=>~rich(X)))&
(![X]:((happy(X)&patient(X))=>(~curious(X)<~>tall(X))))&
(![X]:((rich(X)&~calm(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:((~wise(X)&happy(X))<=>(~old(X)|~tall(X))))&
((?[X]:((calm(X)&~wise(X))))=>((~kind(john)|~humble(john))))&
((quiet(mary))=>... | tall(paul) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3028932717371670651579855
% SZS output start Proof for 3028932717371670651579855
1. ! [X0] : ((~wise(X0) <~> wise(X0)) => wise(X0)) [input p0]
5. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~tall(X0) | ~old(X0))) [input p4]
21. ~tall(paul) [input hypothesis]
22. ! [X0] : (wise(X0) | (~wise(X0)... | 0 |
If paul is both strong and quiet then susan is not kind or not generous and vice versa. If someone is not old or quiet then someone is both old and not calm and vice versa. If lucy is not rich or funny then lucy is not calm and vice versa. If someone is tall or brave then someone is old and vice versa. If paul is eithe... | Susan is patient. | entailment | (((strong(paul)&quiet(paul)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((old(X)&~calm(X)))))&
(((~rich(lucy)|funny(lucy)))<=>(~calm(lucy)))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:(old(X))))&
(((~old(paul)<~>patient(paul)))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:((~patient(X)&generous... | patient(susan) | [
"p0",
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6902212388763258233918925
% SZS output start Proof for 6902212388763258233918925
1. (quiet(paul) & strong(paul)) <=> (~generous(susan) | ~kind(susan)) [input p0]
2. ? [X0] : (quiet(X0) | ~old(X0)) <=> ? [X0] : (~calm(X0) & old(X0)) [input p1]
6. ! [X0] : ((generous(X0) & ~patient(X0)) => ... | 0 |
Everyone who is humble is not rich or not tall.
If john is both not generous and not calm then john is calm or funny.
Everyone who is not old is strong or not patient and vice versa.
Everyone who is both not brave and old is either humble or old and vice versa.
Everyone who is not humble is both not kind and tall and v... | John is not patient. | neutral | (![X]:(humble(X)=>(~rich(X)|~tall(X))))&
(((~generous(john)&~calm(john)))=>((calm(john)|funny(john))))&
(![X]:(~old(X)<=>(strong(X)|~patient(X))))&
(![X]:((~brave(X)&old(X))<=>(humble(X)<~>old(X))))&
(![X]:(~humble(X)<=>(~kind(X)&tall(X))))&
((?[X]:((~calm(X)|calm(X))))=>(?[X]:((~curious(X)<~>~generous(X)))))&
(![X]:((... | ~patient(john) | [] | null | 0 |
If susan is not curious or not happy then susan is either not old or tall and vice versa.
Everyone who is either calm or not creative is not curious or strong.
Everyone who is not tall is curious or brave and vice versa.
Everyone who is not curious or not generous is curious.
If lucy is both not wise and not quiet then... | Alice is quiet. | neutral | (((~curious(susan)|~happy(susan)))<=>((~old(susan)<~>tall(susan))))&
(![X]:((calm(X)<~>~creative(X))=>(~curious(X)|strong(X))))&
(![X]:(~tall(X)<=>(curious(X)|brave(X))))&
(![X]:((~curious(X)|~generous(X))=>curious(X)))&
(((~wise(lucy)&~quiet(lucy)))=>((~curious(john)&quiet(john))))&
(![X]:((funny(X)&~old(X))=>(~strong... | quiet(alice) | [] | null | 0 |
Everyone who is not calm or strong is both tall and happy and vice versa.
If mary is either patient or not tall then someone is either creative or old.
Everyone who is both patient and not patient is wise or old and vice versa.
Everyone who is both not humble and not patient is either wise or calm and vice versa.
Every... | Mary is not calm. | contradiction | (![X]:((~calm(X)|strong(X))<=>(tall(X)&happy(X))))&
(((patient(mary)<~>~tall(mary)))=>(?[X]:((creative(X)<~>old(X)))))&
(![X]:((patient(X)&~patient(X))<=>(wise(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(wise(X)<~>calm(X))))&
(![X]:((~calm(X)<~>tall(X))=>(curious(X)|~happy(X))))&
((~calm(alice))<=>(~curious(john))... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p3",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1460322245163067227512155
% SZS output start Proof for 1460322245163067227512155
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (happy(X0) & tall(X0))) [input p0]
2. (patient(mary) <~> ~tall(mary)) => ? [X0] : (creative(X0) <~> old(X0)) [input p1]
3. ! [X0] : ((~patient(X0) & patient(X0)) <=> ... | 0 |
If alice is either not old or not funny then paul is both wise and not creative.
Everyone who is not calm is either rich or not calm.
If someone is calm or not generous then fred is not brave or happy.
Everyone who is rich or not strong is either kind or generous and vice versa.
If someone is either old or wise then so... | Lucy is not rich. | contradiction | (((~old(alice)<~>~funny(alice)))=>((wise(paul)&~creative(paul))))&
(![X]:(~calm(X)=>(rich(X)<~>~calm(X))))&
((?[X]:((calm(X)|~generous(X))))=>((~brave(fred)|happy(fred))))&
(![X]:((rich(X)|~strong(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((old(X)<~>wise(X))))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((happy(X)<~>~kind(X))... | ~rich(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2114063431240653539739157
% SZS output start Proof for 2114063431240653539739157
12. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~quiet(X0))) [input p11]
24. ~rich(lucy) [input hypothesis]
61. ! [X0] : ((quiet(X0) | (rich(X0) | quiet(X0))) & ((~rich(X0) & ~quiet(X0)) | ~quiet(X0))) [nnf transfor... | 0 |
If someone is not brave then someone is either not kind or curious and vice versa.
If someone is both creative and not old then someone is creative or not calm and vice versa.
Everyone who is not old or curious is not quiet and vice versa.
Everyone who is either humble or not humble is not calm.
If someone is not creat... | John is funny. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:((~kind(X)<~>curious(X)))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((~old(X)|curious(X))<=>~quiet(X)))&
(![X]:((humble(X)<~>~humble(X))=>~calm(X)))&
((?[X]:((~creative(X)|wise(X))))=>(?[X]:((~calm(X)<~>~wise(X)))))&
((?[X]:((funny(X)<~>brave(X))))<=>(?[X]:... | funny(john) | [
"p3",
"p12",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5300630974657405017293049
% SZS output start Proof for 5300630974657405017293049
4. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~calm(X0)) [input p3]
13. funny(john) <=> (~happy(mary) & ~rich(mary)) [input p12]
14. ! [X0] : ((old(X0) & ~wise(X0)) <=> ~rich(X0)) [input p13]
24. ~old(mary) | ... | 0 |
Everyone who is tall or funny is funny.
If susan is not tall or strong then someone is not strong or not humble and vice versa.
If someone is either not kind or generous then john is not humble.
Everyone who is both quiet and not rich is not curious.
If john is humble then lucy is either rich or patient.
If fred is eit... | Fred is quiet. | neutral | (![X]:((tall(X)|funny(X))=>funny(X)))&
(((~tall(susan)|strong(susan)))<=>(?[X]:((~strong(X)|~humble(X)))))&
((?[X]:((~kind(X)<~>generous(X))))=>(~humble(john)))&
(![X]:((quiet(X)&~rich(X))=>~curious(X)))&
((humble(john))=>((rich(lucy)<~>patient(lucy))))&
(((~humble(fred)<~>~quiet(fred)))=>((happy(mary)&~strong(mary))))... | quiet(fred) | [] | null | 0 |
Everyone who is both not curious and not rich is either tall or not calm and vice versa. If mary is either not strong or not curious then someone is not strong. If fred is either not funny or not tall then john is calm. If fred is not strong or old then alice is patient or rich and vice versa. Everyone who is not quiet... | Mary is not strong. | neutral | (![X]:((~curious(X)&~rich(X))<=>(tall(X)<~>~calm(X))))&
(((~strong(mary)<~>~curious(mary)))=>(?[X]:(~strong(X))))&
(((~funny(fred)<~>~tall(fred)))=>(calm(john)))&
(((~strong(fred)|old(fred)))<=>((patient(alice)|rich(alice))))&
(![X]:(~quiet(X)=>(~wise(X)|funny(X))))&
((?[X]:((~kind(X)|brave(X))))=>(?[X]:(~generous(X)))... | ~strong(mary) | [] | null | 0 |
Everyone who is either not rich or funny is both not curious and kind.
If someone is either happy or curious then mary is both not rich and old and vice versa.
If someone is both strong and not tall then someone is patient.
Everyone who is either not rich or funny is not curious or tall.
Everyone who is patient is not ... | Mary is not rich. | entailment | (![X]:((~rich(X)<~>funny(X))=>(~curious(X)&kind(X))))&
((?[X]:((happy(X)<~>curious(X))))<=>((~rich(mary)&old(mary))))&
((?[X]:((strong(X)&~tall(X))))=>(?[X]:(patient(X))))&
(![X]:((~rich(X)<~>funny(X))=>(~curious(X)|tall(X))))&
(![X]:(patient(X)<=>~happy(X)))&
(((~old(paul)<~>kind(paul)))=>(?[X]:((~rich(X)|~curious(X))... | ~rich(mary) | [
"p1",
"p4",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1363615619603068144818473
% SZS output start Proof for 1363615619603068144818473
2. ? [X0] : (happy(X0) <~> curious(X0)) <=> (old(mary) & ~rich(mary)) [input p1]
5. ! [X0] : (patient(X0) <=> ~happy(X0)) [input p4]
10. (~patient(mary) | funny(mary)) <=> (~curious(paul) | brave(paul)) [inpu... | 0 |
If someone is not humble then someone is not strong.
Everyone who is not brave is funny.
If someone is both not curious and strong then john is strong.
If someone is not curious then someone is either not tall or not calm.
Everyone who is curious or not kind is both not old and not calm and vice versa.
If someone is ca... | John is not strong. | contradiction | ((?[X]:(~humble(X)))=>(?[X]:(~strong(X))))&
(![X]:(~brave(X)=>funny(X)))&
((?[X]:((~curious(X)&strong(X))))=>(strong(john)))&
((?[X]:(~curious(X)))=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:((curious(X)|~kind(X))<=>(~old(X)&~calm(X))))&
((?[X]:(calm(X)))<=>((~old(lucy)|quiet(lucy))))&
(![X]:((~humble(X)&calm(X))<=>(old(X... | ~strong(john) | [
"p2",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 454611022928937964914973
% SZS output start Proof for 454611022928937964914973
3. ? [X0] : (strong(X0) & ~curious(X0)) => strong(john) [input p2]
5. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((calm(X0) & ~humble(X0)) <=> (~quiet(X0) & old(X0)))... | 0 |
If paul is both not humble and patient then someone is either patient or not wise. If paul is either not kind or not curious then lucy is humble or not curious. Everyone who is both wise and not patient is not generous and vice versa. Everyone who is not old or happy is creative and vice versa. If someone is both not k... | Susan is tall. | neutral | (((~humble(paul)&patient(paul)))=>(?[X]:((patient(X)<~>~wise(X)))))&
(((~kind(paul)<~>~curious(paul)))=>((humble(lucy)|~curious(lucy))))&
(![X]:((wise(X)&~patient(X))<=>~generous(X)))&
(![X]:((~old(X)|happy(X))<=>creative(X)))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((~old(X)|~funny(X))=... | tall(susan) | [] | null | 0 |
If mary is both rich and happy then someone is either not kind or not rich. If someone is not happy or not brave then susan is both calm and not rich. If someone is either not funny or funny then paul is either not calm or not tall and vice versa. If someone is both generous and not generous then someone is kind and vi... | Lucy is not humble. | contradiction | (((rich(mary)&happy(mary)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~gene... | ~humble(lucy) | [
"p1",
"p3",
"p6",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4375683402738769615191308
% SZS output start Proof for 4375683402738769615191308
2. ? [X0] : (~brave(X0) | ~happy(X0)) => (~rich(susan) & calm(susan)) [input p1]
4. ? [X0] : (~generous(X0) & generous(X0)) <=> ? [X0] : kind(X0) [input p3]
7. tall(susan) <=> ? [X0] : (~happy(X0) | ~brave(X0... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa. Everyone who is rich or strong is both not curious and not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and gen... | Alice is happy. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~curious(X)&~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>gene... | happy(alice) | [
"p1",
"p3",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2409375930488560706100874
% SZS output start Proof for 2409375930488560706100874
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (~humble(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~curious(X0) & ~old(X0)) <=>... | 0 |
If lucy is funny then someone is quiet or not kind.
If lucy is both not rich and quiet then someone is not humble and vice versa.
If fred is not quiet then susan is both tall and creative.
If someone is kind then someone is not generous.
If someone is either not funny or not wise then susan is not creative or funny.
Ev... | Susan is kind. | neutral | ((funny(lucy))=>(?[X]:((quiet(X)|~kind(X)))))&
(((~rich(lucy)&quiet(lucy)))<=>(?[X]:(~humble(X))))&
((~quiet(fred))=>((tall(susan)&creative(susan))))&
((?[X]:(kind(X)))=>(?[X]:(~generous(X))))&
((?[X]:((~funny(X)<~>~wise(X))))=>((~creative(susan)|funny(susan))))&
(![X]:((patient(X)<~>wise(X))<=>(kind(X)|funny(X))))&
(!... | kind(susan) | [] | null | 0 |
If paul is either not curious or not calm then someone is not humble and vice versa.
If someone is either not patient or not funny then paul is both not tall and not funny and vice versa.
If paul is both not wise and tall then someone is either brave or old and vice versa.
Everyone who is either wise or brave is both n... | Susan is rich. | neutral | (((~curious(paul)<~>~calm(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>((~tall(paul)&~funny(paul))))&
(((~wise(paul)&tall(paul)))<=>(?[X]:((brave(X)<~>old(X)))))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&~humble(X))))&
((~curious(susan))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~patient(X)&generous... | rich(susan) | [] | null | 0 |
Everyone who is both not kind and generous is kind or old.
Everyone who is both happy and not kind is not generous or not calm.
Everyone who is either kind or rich is tall or not strong and vice versa.
If someone is not happy or not curious then john is not humble.
If someone is not rich then someone is either tall or ... | John is not rich. | entailment | (![X]:((~kind(X)&generous(X))=>(kind(X)|old(X))))&
(![X]:((happy(X)&~kind(X))=>(~generous(X)|~calm(X))))&
(![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((... | ~rich(john) | [
"p0",
"p2",
"p7",
"p9",
"p10",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6206187503854061794271141
% SZS output start Proof for 6206187503854061794271141
1. ! [X0] : ((generous(X0) & ~kind(X0)) => (old(X0) | kind(X0))) [input p0]
3. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~strong(X0) | tall(X0))) [input p2]
8. ? [X0] : (~kind(X0) | ~happy(X0)) => (~quiet(john) ... | 0 |
Everyone who is either not kind or funny is not happy and vice versa.
If someone is strong then someone is both not happy and humble and vice versa.
Everyone who is either not tall or old is both funny and not old and vice versa.
If mary is not quiet then fred is funny.
If alice is both not generous and not kind then m... | Mary is quiet. | neutral | (![X]:((~kind(X)<~>funny(X))<=>~happy(X)))&
((?[X]:(strong(X)))<=>(?[X]:((~happy(X)&humble(X)))))&
(![X]:((~tall(X)<~>old(X))<=>(funny(X)&~old(X))))&
((~quiet(mary))=>(funny(fred)))&
(((~generous(alice)&~kind(alice)))=>((creative(mary)|curious(mary))))&
(![X]:((~happy(X)|humble(X))=>~patient(X)))&
(((~brave(alice)<~>ki... | quiet(mary) | [] | null | 0 |
If someone is both not creative and not calm then someone is quiet or not curious and vice versa.
Everyone who is not calm is rich or strong.
Everyone who is quiet or not wise is not wise or not funny.
If john is not creative or not generous then someone is not rich or not quiet and vice versa.
If someone is strong the... | Alice is not strong. | neutral | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(~calm(X)=>(rich(X)|strong(X))))&
(![X]:((quiet(X)|~wise(X))=>(~wise(X)|~funny(X))))&
(((~creative(john)|~generous(john)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:(strong(X)))<=>((~quiet(paul)|~curious(paul))))&
((?[X]:((old(X)|kind(X))))=>(?[... | ~strong(alice) | [] | null | 0 |
Everyone who is patient is wise and vice versa.
Everyone who is not old or wise is both not happy and not quiet and vice versa.
Everyone who is either not happy or brave is either not patient or not kind and vice versa.
If fred is not tall or happy then lucy is either not kind or happy and vice versa.
Everyone who is b... | Alice is generous. | contradiction | (![X]:(patient(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~happy(X)&~quiet(X))))&
(![X]:((~happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
(((~tall(fred)|happy(fred)))<=>((~kind(lucy)<~>happy(lucy))))&
(![X]:((~funny(X)&~quiet(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~quiet(X)&brave(X))<=>~generous(X)))&
((?[X]:((... | generous(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7373620822397588910134538
% SZS output start Proof for 7373620822397588910134538
16. (~quiet(alice) & ~generous(alice)) <=> (~strong(alice) | generous(alice)) [input p15]
24. generous(alice) [input hypothesis]
57. ((~quiet(alice) & ~generous(alice)) | (strong(alice) & ~generous(alice))) &... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Lucy is not calm. | entailment | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | ~calm(lucy) | [
"p0",
"p1",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3367748630484894770923265
% SZS output start Proof for 3367748630484894770923265
1. ! [X0] : (humble(X0) <=> curious(X0)) [input p0]
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (~curious(X0) & ~patient(X0)))... | 0 |
Everyone who is humble or brave is both not generous and not funny.
If alice is rich or not strong then someone is funny and vice versa.
If someone is either not old or kind then fred is old and vice versa.
Everyone who is both funny and generous is either humble or not quiet and vice versa.
Everyone who is both not ha... | Mary is not strong. | neutral | (![X]:((humble(X)|brave(X))=>(~generous(X)&~funny(X))))&
(((rich(alice)|~strong(alice)))<=>(?[X]:(funny(X))))&
((?[X]:((~old(X)<~>kind(X))))<=>(old(fred)))&
(![X]:((funny(X)&generous(X))<=>(humble(X)<~>~quiet(X))))&
(![X]:((~happy(X)&kind(X))=>(~patient(X)&strong(X))))&
(![X]:((~wise(X)|generous(X))<=>(funny(X)&~humble... | ~strong(mary) | [] | null | 0 |
Everyone who is old is either brave or not brave and vice versa. If susan is not quiet then someone is kind or not old. If alice is both old and curious then someone is creative or not creative. Everyone who is both creative and not funny is both humble and curious and vice versa. Everyone who is either kind or strong ... | Mary is quiet. | contradiction | (![X]:(old(X)<=>(brave(X)<~>~brave(X))))&
((~quiet(susan))=>(?[X]:((kind(X)|~old(X)))))&
(((old(alice)&curious(alice)))=>(?[X]:((creative(X)|~creative(X)))))&
(![X]:((creative(X)&~funny(X))<=>(humble(X)&curious(X))))&
(![X]:((kind(X)<~>strong(X))<=>(~quiet(X)&~generous(X))))&
(![X]:((calm(X)<~>curious(X))<=>(~brave(X)<... | quiet(mary) | [
"p4",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3655224669191019889109019
% SZS output start Proof for 3655224669191019889109019
5. ! [X0] : ((kind(X0) <~> strong(X0)) <=> (~generous(X0) & ~quiet(X0))) [input p4]
12. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> kind(X0))) [input p11]
17. patient(mary) & strong(mary) [input p16]
25. q... | 0 |
If fred is both not rich and not generous then someone is not kind or not quiet.
If someone is curious then mary is both creative and not generous.
If someone is both not humble and not calm then someone is funny.
Everyone who is creative or brave is not quiet.
If mary is not patient or kind then someone is either not ... | Mary is funny. | neutral | (((~rich(fred)&~generous(fred)))=>(?[X]:((~kind(X)|~quiet(X)))))&
((?[X]:(curious(X)))=>((creative(mary)&~generous(mary))))&
((?[X]:((~humble(X)&~calm(X))))=>(?[X]:(funny(X))))&
(![X]:((creative(X)|brave(X))=>~quiet(X)))&
(((~patient(mary)|kind(mary)))<=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((calm(X)<~>~creative(X))=>... | funny(mary) | [] | null | 0 |
If someone is either calm or not strong then alice is both happy and not kind.
If someone is both not strong and not brave then someone is either not creative or brave and vice versa.
Everyone who is both not tall and not old is either not creative or brave.
Everyone who is either humble or generous is not wise or funn... | Alice is not strong. | contradiction | ((?[X]:((calm(X)<~>~strong(X))))=>((happy(alice)&~kind(alice))))&
((?[X]:((~strong(X)&~brave(X))))<=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:((~tall(X)&~old(X))=>(~creative(X)<~>brave(X))))&
(![X]:((humble(X)<~>generous(X))=>(~wise(X)|funny(X))))&
(![X]:((~kind(X)|rich(X))<=>(rich(X)&calm(X))))&
(((~old(paul)<~>~pat... | ~strong(alice) | [
"p0",
"p1",
"p4",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 702904625515106023762508
% SZS output start Proof for 702904625515106023762508
1. ? [X0] : (calm(X0) <~> ~strong(X0)) => (~kind(alice) & happy(alice)) [input p0]
2. ? [X0] : (~brave(X0) & ~strong(X0)) <=> ? [X0] : (~creative(X0) <~> brave(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~kind(X0)... | 0 |
Everyone who is old or not curious is both tall and not old.
If someone is wise then paul is patient or not tall.
If someone is either not funny or quiet then someone is not old or not wise and vice versa.
If someone is curious or calm then alice is not generous or patient and vice versa.
If someone is either wise or s... | Fred is calm. | entailment | (![X]:((old(X)|~curious(X))=>(tall(X)&~old(X))))&
((?[X]:(wise(X)))=>((patient(paul)|~tall(paul))))&
((?[X]:((~funny(X)<~>quiet(X))))<=>(?[X]:((~old(X)|~wise(X)))))&
((?[X]:((curious(X)|calm(X))))<=>((~generous(alice)|patient(alice))))&
((?[X]:((wise(X)<~>strong(X))))=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(happy(X)=>... | calm(fred) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8326886612029158600201806
% SZS output start Proof for 8326886612029158600201806
1. ! [X0] : ((~curious(X0) | old(X0)) => (~old(X0) & tall(X0))) [input p0]
7. ! [X0] : ((~patient(X0) | ~calm(X0)) <=> (old(X0) & ~strong(X0))) [input p6]
24. ~calm(fred) [input hypothesis]
27. ! [X0] : ((~ol... | 0 |
Everyone who is not brave or rich is not calm or not rich and vice versa. Everyone who is either not humble or not strong is either not calm or not rich. If mary is both old and generous then paul is not funny or wise. Everyone who is happy is wise and vice versa. Everyone who is either quiet or not generous is not gen... | Alice is humble. | contradiction | (![X]:((~brave(X)|rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(~calm(X)<~>~rich(X))))&
(((old(mary)&generous(mary)))=>((~funny(paul)|wise(paul))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((quiet(X)<~>~generous(X))=>~generous(X)))&
(![X]:((~happy(X)&~curious(X))<=>(~patient(X)<~>~old(X))))&
((~strong... | humble(alice) | [
"p7",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2201772873454739996109675
% SZS output start Proof for 2201772873454739996109675
8. ! [X0] : ((kind(X0) | ~curious(X0)) <=> (~old(X0) & wise(X0))) [input p7]
14. ! [X0] : ((brave(X0) | funny(X0)) <=> ~wise(X0)) [input p13]
16. ! [X0] : ((old(X0) | ~old(X0)) => (~creative(X0) & brave(X0)))... | 0 |
If someone is not calm then someone is both strong and creative and vice versa.
Everyone who is not funny is not kind or not creative.
If someone is calm then susan is not wise and vice versa.
If someone is calm then lucy is both curious and not wise.
If someone is both not tall and not quiet then someone is not patien... | Paul is tall. | entailment | ((?[X]:(~calm(X)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:(~funny(X)=>(~kind(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~wise(susan)))&
((?[X]:(calm(X)))=>((curious(lucy)&~wise(lucy))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((brave(X)|strong(X))=>(brave(X)|~strong(X))))&
(![X]:((~creative(X)&... | tall(paul) | [
"p0",
"p4",
"p6",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4554015704229677608913426
% SZS output start Proof for 4554015704229677608913426
1. ? [X0] : ~calm(X0) <=> ? [X0] : (creative(X0) & strong(X0)) [input p0]
5. ? [X0] : (~quiet(X0) & ~tall(X0)) <=> ? [X0] : ~patient(X0) [input p4]
7. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (curious(X0) ... | 0 |
If john is both not brave and patient then someone is generous or not kind. If john is both not generous and not humble then alice is not curious and vice versa. Everyone who is both not generous and strong is not funny or funny. Everyone who is happy is funny. Everyone who is not patient is either tall or happy and vi... | John is not humble. | neutral | (((~brave(john)&patient(john)))=>(?[X]:((generous(X)|~kind(X)))))&
(((~generous(john)&~humble(john)))<=>(~curious(alice)))&
(![X]:((~generous(X)&strong(X))=>(~funny(X)|funny(X))))&
(![X]:(happy(X)=>funny(X)))&
(![X]:(~patient(X)<=>(tall(X)<~>happy(X))))&
(![X]:(patient(X)<=>(~kind(X)|curious(X))))&
(((kind(alice)&~wise... | ~humble(john) | [] | null | 0 |
If someone is either patient or funny then someone is not tall.
Everyone who is not tall or strong is both rich and not rich and vice versa.
If mary is either not tall or humble then alice is both strong and curious and vice versa.
Everyone who is both not tall and happy is generous or not funny and vice versa.
Everyon... | Paul is patient. | entailment | ((?[X]:((patient(X)<~>funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)|strong(X))<=>(rich(X)&~rich(X))))&
(((~tall(mary)<~>humble(mary)))<=>((strong(alice)&curious(alice))))&
(![X]:((~tall(X)&happy(X))<=>(generous(X)|~funny(X))))&
(![X]:((~funny(X)&~tall(X))=>(~happy(X)<~>~generous(X))))&
(((rich(susan)&~strong(susan)... | patient(paul) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8986958314679341193649745
% SZS output start Proof for 8986958314679341193649745
1. ? [X0] : (patient(X0) <~> funny(X0)) => ? [X0] : ~tall(X0) [input p0]
2. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (~rich(X0) & rich(X0))) [input p1]
4. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (~funny(X0) | gen... | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Lucy is not curious. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | ~curious(lucy) | [] | null | 0 |
Everyone who is not rich or not humble is tall and vice versa. If alice is both quiet and calm then someone is kind. If someone is both not funny and kind then john is both tall and not humble. Everyone who is both not generous and curious is either not tall or not funny and vice versa. Everyone who is brave is not cre... | Fred is brave. | entailment | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(((quiet(alice)&calm(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~funny(X)&kind(X))))=>((tall(john)&~humble(john))))&
(![X]:((~generous(X)&curious(X))<=>(~tall(X)<~>~funny(X))))&
(![X]:(brave(X)<=>(~creative(X)|~tall(X))))&
((humble(fred))<=>((~patient(susan)&happy(susan))))&
(![X]:(... | brave(fred) | [
"p3",
"p4",
"p6",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6973198327879080568302526
% SZS output start Proof for 6973198327879080568302526
4. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (~tall(X0) <~> ~funny(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> (~tall(X0) | ~creative(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | ~brave(X0)) => ~strong(X0)) [... | 0 |
If mary is curious then someone is either creative or not brave.
If someone is not patient or generous then someone is not old.
Everyone who is not happy is both not humble and curious.
If mary is quiet then fred is generous.
Everyone who is both not rich and happy is curious and vice versa.
Everyone who is strong is b... | Paul is old. | entailment | ((curious(mary))=>(?[X]:((creative(X)<~>~brave(X)))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:(~old(X))))&
(![X]:(~happy(X)=>(~humble(X)&curious(X))))&
((quiet(mary))=>(generous(fred)))&
(![X]:((~rich(X)&happy(X))<=>curious(X)))&
(![X]:(strong(X)<=>(funny(X)&strong(X))))&
(((~tall(fred)<~>~creative(fred)))=>((~rich... | old(paul) | [
"p2",
"p4",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1984742843877369425691480
% SZS output start Proof for 1984742843877369425691480
3. ! [X0] : (~happy(X0) => (curious(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~rich(X0)) <=> curious(X0)) [input p4]
8. ! [X0] : ((funny(X0) | ~brave(X0)) <=> ~tall(X0)) [input p7]
10. ! [X0] :... | 0 |
Everyone who is not humble is calm.
If someone is brave then alice is not creative or patient and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall... | John is generous. | neutral | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((~creative(alice)|patient(alice))))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X)... | generous(john) | [] | null | 0 |
Everyone who is not tall or not calm is not quiet or humble.
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
I... | John is funny. | contradiction | (![X]:((~tall(X)|~calm(X))=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)... | funny(john) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1854946781865947465637085
% SZS output start Proof for 1854946781865947465637085
1. ! [X0] : ((~calm(X0) | ~tall(X0)) => (humble(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~quiet(X0) <... | 0 |
Everyone who is rich or calm is not old or not funny and vice versa. Everyone who is not kind is both not brave and rich. If someone is either not happy or old then someone is both not strong and humble and vice versa. If someone is not tall then someone is both funny and old. Everyone who is strong or kind is strong o... | Susan is tall. | entailment | (![X]:((rich(X)|calm(X))<=>(~old(X)|~funny(X))))&
(![X]:(~kind(X)=>(~brave(X)&rich(X))))&
((?[X]:((~happy(X)<~>old(X))))<=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((funny(X)&old(X)))))&
(![X]:((strong(X)|kind(X))<=>(strong(X)|creative(X))))&
((?[X]:((~calm(X)&~kind(X))))=>(?[X]:(happy(X))))&
(((gene... | tall(susan) | [
"p0",
"p1",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1205171027074480728667476
% SZS output start Proof for 1205171027074480728667476
1. ! [X0] : ((calm(X0) | rich(X0)) <=> (~funny(X0) | ~old(X0))) [input p0]
2. ! [X0] : (~kind(X0) => (rich(X0) & ~brave(X0))) [input p1]
4. ? [X0] : ~tall(X0) => ? [X0] : (old(X0) & funny(X0)) [input p3]
11. ... | 0 |
Everyone who is not generous is both not generous and not quiet.
Everyone who is either old or not kind is both calm and not patient and vice versa.
If someone is both rich and not generous then lucy is both not calm and brave.
Everyone who is both wise and strong is not generous and vice versa.
If mary is either not h... | Alice is tall. | neutral | (![X]:(~generous(X)=>(~generous(X)&~quiet(X))))&
(![X]:((old(X)<~>~kind(X))<=>(calm(X)&~patient(X))))&
((?[X]:((rich(X)&~generous(X))))=>((~calm(lucy)&brave(lucy))))&
(![X]:((wise(X)&strong(X))<=>~generous(X)))&
(((~humble(mary)<~>~quiet(mary)))=>((kind(john)<~>funny(john))))&
(((creative(alice)<~>happy(alice)))<=>(?[X... | tall(alice) | [] | null | 0 |
Everyone who is old or not calm is not brave.
If paul is wise then someone is quiet.
Everyone who is humble or not happy is both not quiet and strong.
Everyone who is either not wise or humble is both not curious and not patient.
If alice is either not kind or tall then john is both not brave and not curious and vice v... | Alice is not curious. | neutral | (![X]:((old(X)|~calm(X))=>~brave(X)))&
((wise(paul))=>(?[X]:(quiet(X))))&
(![X]:((humble(X)|~happy(X))=>(~quiet(X)&strong(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~curious(X)&~patient(X))))&
(((~kind(alice)<~>tall(alice)))<=>((~brave(john)&~curious(john))))&
(((old(susan)&~generous(susan)))=>(~strong(lucy)))&
(![X]:((cre... | ~curious(alice) | [] | null | 0 |
Everyone who is not patient or not strong is either not strong or creative and vice versa.
Everyone who is not strong or old is calm and vice versa.
If someone is either wise or strong then susan is either brave or not patient.
Everyone who is either happy or kind is rich or wise and vice versa.
Everyone who is not kin... | Alice is funny. | neutral | (![X]:((~patient(X)|~strong(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~strong(X)|old(X))<=>calm(X)))&
((?[X]:((wise(X)<~>strong(X))))=>((brave(susan)<~>~patient(susan))))&
(![X]:((happy(X)<~>kind(X))<=>(rich(X)|wise(X))))&
(![X]:((~kind(X)|~calm(X))<=>(~brave(X)&~humble(X))))&
(![X]:((~old(X)&~wise(X))=>~curious(X)))... | funny(alice) | [] | null | 0 |
If someone is either not happy or not generous then someone is either wise or generous and vice versa. Everyone who is not calm is both happy and not curious and vice versa. If john is either curious or quiet then mary is quiet or calm and vice versa. Everyone who is old or not calm is funny. Everyone who is not strong... | Lucy is calm. | entailment | ((?[X]:((~happy(X)<~>~generous(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
(![X]:(~calm(X)<=>(happy(X)&~curious(X))))&
(((curious(john)<~>quiet(john)))<=>((quiet(mary)|calm(mary))))&
(![X]:((old(X)|~calm(X))=>funny(X)))&
(![X]:((~strong(X)|~curious(X))=>(~creative(X)&quiet(X))))&
((?[X]:(tall(X)))<=>((tall(john)<~>creat... | calm(lucy) | [
"p1",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8334093404169968307368487
% SZS output start Proof for 8334093404169968307368487
2. ! [X0] : (~calm(X0) <=> (~curious(X0) & happy(X0))) [input p1]
10. ! [X0] : (old(X0) => wise(X0)) [input p9]
14. ! [X0] : ((generous(X0) | wise(X0)) <=> (kind(X0) & ~happy(X0))) [input p13]
19. ~generous(l... | 0 |
Everyone who is either not old or tall is both not strong and curious and vice versa. If mary is not wise then someone is either patient or tall. Everyone who is either not kind or strong is rich or tall and vice versa. Everyone who is old is both not calm and not creative and vice versa. Everyone who is both not calm ... | Paul is curious. | contradiction | (![X]:((~old(X)<~>tall(X))<=>(~strong(X)&curious(X))))&
((~wise(mary))=>(?[X]:((patient(X)<~>tall(X)))))&
(![X]:((~kind(X)<~>strong(X))<=>(rich(X)|tall(X))))&
(![X]:(old(X)<=>(~calm(X)&~creative(X))))&
(![X]:((~calm(X)&tall(X))=>(tall(X)&creative(X))))&
(![X]:((~wise(X)<~>~creative(X))=>(~happy(X)<~>strong(X))))&
(![X]... | curious(paul) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 245051516820984587461957
% SZS output start Proof for 245051516820984587461957
1. ! [X0] : ((~old(X0) <~> tall(X0)) <=> (curious(X0) & ~strong(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> strong(X0)) <=> (tall(X0) | rich(X0))) [input p2]
4. ! [X0] : (old(X0) <=> (~creative(X0) & ~calm(X0)... | 0 |
Everyone who is both old and not calm is not wise or curious and vice versa. Everyone who is not generous is patient or rich and vice versa. If someone is either not old or brave then mary is both rich and happy and vice versa. Everyone who is not rich is both creative and brave and vice versa. Everyone who is not rich... | Mary is creative. | neutral | (![X]:((old(X)&~calm(X))<=>(~wise(X)|curious(X))))&
(![X]:(~generous(X)<=>(patient(X)|rich(X))))&
((?[X]:((~old(X)<~>brave(X))))<=>((rich(mary)&happy(mary))))&
(![X]:(~rich(X)<=>(creative(X)&brave(X))))&
(![X]:(~rich(X)=>(~patient(X)<~>generous(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((tall(susan)<~>~humble(susan)... | creative(mary) | [] | null | 0 |
If someone is kind then someone is either not strong or not wise and vice versa.
Everyone who is brave or kind is both patient and not funny and vice versa.
Everyone who is either not funny or funny is either happy or rich.
Everyone who is both not rich and not generous is both funny and humble and vice versa.
Everyone... | John is generous. | contradiction | ((?[X]:(kind(X)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
(![X]:((brave(X)|kind(X))<=>(patient(X)&~funny(X))))&
(![X]:((~funny(X)<~>funny(X))=>(happy(X)<~>rich(X))))&
(![X]:((~rich(X)&~generous(X))<=>(funny(X)&humble(X))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:(strong(X)))=>(quiet(alice)))&
(![X]:((generous(X)<~>funny(X))... | generous(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9059556559111669764841247
% SZS output start Proof for 9059556559111669764841247
7. ! [X0] : ((generous(X0) <~> funny(X0)) <=> funny(X0)) [input p6]
25. generous(john) [input hypothesis]
53. ! [X0] : ((((~funny(X0) | ~generous(X0)) & (funny(X0) | generous(X0))) | ~funny(X0)) & (funny(X0) ... | 0 |
If john is either not strong or calm then someone is both calm and not brave.
If lucy is either patient or wise then john is not wise and vice versa.
If paul is rich then someone is quiet and vice versa.
Everyone who is either not tall or strong is both rich and kind.
Everyone who is patient is both not brave and wise.... | Fred is not calm. | entailment | (((~strong(john)<~>calm(john)))=>(?[X]:((calm(X)&~brave(X)))))&
(((patient(lucy)<~>wise(lucy)))<=>(~wise(john)))&
((rich(paul))<=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)<~>strong(X))=>(rich(X)&kind(X))))&
(![X]:(patient(X)=>(~brave(X)&wise(X))))&
((?[X]:((~quiet(X)&~generous(X))))<=>(~curious(mary)))&
((~patient(mary))=>(... | ~calm(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3633806250424781972200170
% SZS output start Proof for 3633806250424781972200170
16. ! [X0] : (~kind(X0) <=> (~calm(X0) | kind(X0))) [input p15]
25. calm(fred) [input hypothesis]
67. ! [X0] : ((~kind(X0) | (calm(X0) & ~kind(X0))) & ((~calm(X0) | kind(X0)) | kind(X0))) [nnf transformation ... | 0 |
If someone is either not creative or quiet then someone is either not kind or strong and vice versa. If someone is not patient or not tall then someone is not calm or funny. Everyone who is either not creative or not curious is not humble and vice versa. If lucy is brave or old then lucy is either not curious or not cr... | Alice is not strong. | contradiction | ((?[X]:((~creative(X)<~>quiet(X))))<=>(?[X]:((~kind(X)<~>strong(X)))))&
((?[X]:((~patient(X)|~tall(X))))=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:((~creative(X)<~>~curious(X))<=>~humble(X)))&
(((brave(lucy)|old(lucy)))<=>((~curious(lucy)<~>~creative(lucy))))&
((?[X]:((~happy(X)&~calm(X))))=>(?[X]:((~quiet(X)<~>~happy(X)))... | ~strong(alice) | [
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8874811472412345177306490
% SZS output start Proof for 8874811472412345177306490
8. ! [X0] : ((creative(X0) & ~strong(X0)) => (happy(X0) & ~strong(X0))) [input p7]
12. ! [X0] : ((~brave(X0) | ~creative(X0)) => (~happy(X0) <~> funny(X0))) [input p11]
22. funny(alice) & ~happy(alice) [input... | 0 |
If someone is not rich or not old then alice is either brave or not wise and vice versa. Everyone who is kind or humble is not calm or humble and vice versa. If someone is strong then someone is not calm or old. Everyone who is kind or not humble is both tall and not wise and vice versa. If someone is both not humble a... | Paul is not patient. | neutral | ((?[X]:((~rich(X)|~old(X))))<=>((brave(alice)<~>~wise(alice))))&
(![X]:((kind(X)|humble(X))<=>(~calm(X)|humble(X))))&
((?[X]:(strong(X)))=>(?[X]:((~calm(X)|old(X)))))&
(![X]:((kind(X)|~humble(X))<=>(tall(X)&~wise(X))))&
((?[X]:((~humble(X)&~kind(X))))<=>(?[X]:(creative(X))))&
(((humble(paul)<~>old(paul)))=>(?[X]:((~cre... | ~patient(paul) | [] | null | 0 |
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