premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not patient or not creative then susan is both tall and humble and vice versa. Everyone who is happy is strong or not quiet. If paul is strong or not tall then someone is not funny. If alice is happy or old then mary is patient and vice versa. Everyone who is not strong is either not strong or not quiet a... | John is calm. | neutral | ((?[X]:((~patient(X)|~creative(X))))<=>((tall(susan)&humble(susan))))&
(![X]:(happy(X)=>(strong(X)|~quiet(X))))&
(((strong(paul)|~tall(paul)))=>(?[X]:(~funny(X))))&
(((happy(alice)|old(alice)))<=>(patient(mary)))&
(![X]:(~strong(X)<=>(~strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~tall(X))<=>generous(X)))&
((?[X]:(~stro... | calm(john) | [] | null | 0 |
Everyone who is both strong and creative is both not kind and humble and vice versa. Everyone who is not curious or strong is both not curious and wise. Everyone who is not curious is funny and vice versa. Everyone who is quiet is either funny or old and vice versa. Everyone who is either not generous or wise is both n... | Paul is not tall. | entailment | (![X]:((strong(X)&creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~curious(X)|strong(X))=>(~curious(X)&wise(X))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~happy(X)&curious(X)))))&
(((s... | ~tall(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 663912148270079922402458
% SZS output start Proof for 663912148270079922402458
22. quiet(paul) & ~tall(paul) [input p21]
23. tall(paul) [input hypothesis]
137. ~tall(paul) [cnf transformation 22]
139. tall(paul) [cnf transformation 23]
292. $false [subsumption resolution 139,137]
% SZS ou... | 0 |
Everyone who is not strong is either not generous or curious. Everyone who is both rich and quiet is either not calm or tall and vice versa. Everyone who is not generous or not happy is not happy and vice versa. If lucy is both not creative and not funny then someone is strong or rich. If someone is not rich or tall th... | Paul is generous. | contradiction | (![X]:(~strong(X)=>(~generous(X)<~>curious(X))))&
(![X]:((rich(X)&quiet(X))<=>(~calm(X)<~>tall(X))))&
(![X]:((~generous(X)|~happy(X))<=>~happy(X)))&
(((~creative(lucy)&~funny(lucy)))=>(?[X]:((strong(X)|rich(X)))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((~old(X)&~rich(X))<=>(~tall(X)|creati... | generous(paul) | [
"p6",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 694887885338080784338645
% SZS output start Proof for 694887885338080784338645
7. ! [X0] : ((old(X0) | ~strong(X0)) <=> (funny(X0) <~> happy(X0))) [input p6]
9. ! [X0] : ((~generous(X0) | ~wise(X0)) => (~funny(X0) & rich(X0))) [input p8]
12. ! [X0] : (~wise(X0) <=> (~old(X0) | ~happy(X0))... | 0 |
Everyone who is not strong or not funny is not quiet and vice versa.
If someone is both calm and creative then paul is humble or not quiet and vice versa.
If someone is both not strong and not patient then susan is either funny or patient.
If someone is strong then someone is both creative and funny.
Everyone who is ei... | Paul is curious. | neutral | (![X]:((~strong(X)|~funny(X))<=>~quiet(X)))&
((?[X]:((calm(X)&creative(X))))<=>((humble(paul)|~quiet(paul))))&
((?[X]:((~strong(X)&~patient(X))))=>((funny(susan)<~>patient(susan))))&
((?[X]:(strong(X)))=>(?[X]:((creative(X)&funny(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((~strong(X)|~... | curious(paul) | [] | null | 0 |
If someone is both not rich and not patient then paul is quiet.
If paul is brave then john is either quiet or not wise.
If someone is happy then alice is brave or not tall.
Everyone who is either kind or wise is either old or brave.
Everyone who is rich or creative is not funny and vice versa.
If susan is either not ha... | Alice is not funny. | entailment | ((?[X]:((~rich(X)&~patient(X))))=>(quiet(paul)))&
((brave(paul))=>((quiet(john)<~>~wise(john))))&
((?[X]:(happy(X)))=>((brave(alice)|~tall(alice))))&
(![X]:((kind(X)<~>wise(X))=>(old(X)<~>brave(X))))&
(![X]:((rich(X)|creative(X))<=>~funny(X)))&
(((~happy(susan)<~>~funny(susan)))=>(?[X]:((~brave(X)&calm(X)))))&
(((~calm... | ~funny(alice) | [
"p4",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1711119811125954986949936
% SZS output start Proof for 1711119811125954986949936
5. ! [X0] : ((creative(X0) | rich(X0)) <=> ~funny(X0)) [input p4]
8. ! [X0] : (~happy(X0) <=> (quiet(X0) & happy(X0))) [input p7]
13. ? [X0] : (happy(X0) & ~creative(X0)) <=> old(paul) [input p12]
15. ! [X0] ... | 0 |
If paul is not quiet then lucy is not rich and vice versa.
If john is either not generous or not wise then someone is both not brave and not tall.
If someone is old then someone is both kind and not wise and vice versa.
Everyone who is not tall is kind or wise and vice versa.
Everyone who is both funny and not rich is ... | John is not wise. | neutral | ((~quiet(paul))<=>(~rich(lucy)))&
(((~generous(john)<~>~wise(john)))=>(?[X]:((~brave(X)&~tall(X)))))&
((?[X]:(old(X)))<=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(~tall(X)<=>(kind(X)|wise(X))))&
(![X]:((funny(X)&~rich(X))<=>(funny(X)|~rich(X))))&
(![X]:((~generous(X)|~humble(X))=>(strong(X)|creative(X))))&
(![X]:((~patient(... | ~wise(john) | [] | null | 0 |
Everyone who is not kind is not tall or not strong. If john is old then someone is not patient and vice versa. Everyone who is either tall or strong is either not creative or not old. Everyone who is brave or creative is both generous and not rich. If john is either not wise or patient then someone is both not calm and... | Lucy is wise. | contradiction | (![X]:(~kind(X)=>(~tall(X)|~strong(X))))&
((old(john))<=>(?[X]:(~patient(X))))&
(![X]:((tall(X)<~>strong(X))=>(~creative(X)<~>~old(X))))&
(![X]:((brave(X)|creative(X))=>(generous(X)&~rich(X))))&
(((~wise(john)<~>patient(john)))<=>(?[X]:((~calm(X)&~curious(X)))))&
(((wise(alice)&~humble(alice)))=>(?[X]:((~funny(X)|quiet... | wise(lucy) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 507901082093295885333322
% SZS output start Proof for 507901082093295885333322
4. ! [X0] : ((creative(X0) | brave(X0)) => (~rich(X0) & generous(X0))) [input p3]
11. ! [X0] : ((generous(X0) | old(X0)) => (~wise(X0) & rich(X0))) [input p10]
16. brave(john) <=> ? [X0] : (~happy(X0) | ~genero... | 0 |
Everyone who is either not calm or calm is not happy.
If someone is both not generous and brave then lucy is old and vice versa.
Everyone who is both not wise and not rich is both curious and quiet and vice versa.
Everyone who is both not tall and quiet is tall or creative and vice versa.
Everyone who is rich or not fu... | Paul is tall. | contradiction | (![X]:((~calm(X)<~>calm(X))=>~happy(X)))&
((?[X]:((~generous(X)&brave(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&~rich(X))<=>(curious(X)&quiet(X))))&
(![X]:((~tall(X)&quiet(X))<=>(tall(X)|creative(X))))&
(![X]:((rich(X)|~funny(X))<=>(~wise(X)<~>~funny(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((... | tall(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2240498383584217794996012
% SZS output start Proof for 2240498383584217794996012
4. ! [X0] : ((quiet(X0) & ~tall(X0)) <=> (creative(X0) | tall(X0))) [input p3]
24. tall(paul) [input hypothesis]
39. ! [X0] : (((quiet(X0) & ~tall(X0)) | (~creative(X0) & ~tall(X0))) & ((creative(X0) | tall(X... | 0 |
If alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall then lucy is both generous and curious. Everyone who is either calm or not happy is not kind or happy and vice versa. Everyone who is not patient or patient is both not humble and not funny and vice versa. Ever... | Lucy is funny. | contradiction | (((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy(X))<=>(~kind(X)|happy(X))))&
(![X]:((~patient(X)|patient(X))<=>(~humble(X)&~funny(X))))&
(![X]:(~old(X)<=>(~funny(X)&~calm(X))))&
(![X]:((~kind(X)<~>happy(X))=>(... | funny(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1825493247707887593724032
% SZS output start Proof for 1825493247707887593724032
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~funny(X0) & ~humble(X0))) [input p3]
20. funny(lucy) [input hypothesis]
32. ! [X0] : (((patient(X0) | ~patient(X0)) | (funny(X0) | humble(X0))) & ((~funny(X0) &... | 0 |
Everyone who is either not wise or creative is either not patient or not humble.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either n... | Lucy is old. | contradiction | (![X]:((~wise(X)<~>creative(X))=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))... | old(lucy) | [
"p2",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1633276364600363006611510
% SZS output start Proof for 1633276364600363006611510
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
10. ! [X0] : (quiet(X0) <=> creative(X0)) [input p9]
15. ? [X0] : (brave(X0) | patient(X0)) <=> ? [X0] : (~patient(X0) <~> ~old(X0)) [in... | 0 |
If alice is either funny or patient then john is old or not funny.
Everyone who is not patient is not calm or funny.
Everyone who is either not strong or strong is both old and not strong and vice versa.
If someone is not patient or wise then john is wise.
If lucy is either curious or not quiet then mary is not curious... | John is quiet. | contradiction | (((funny(alice)<~>patient(alice)))=>((old(john)|~funny(john))))&
(![X]:(~patient(X)=>(~calm(X)|funny(X))))&
(![X]:((~strong(X)<~>strong(X))<=>(old(X)&~strong(X))))&
((?[X]:((~patient(X)|wise(X))))=>(wise(john)))&
(((curious(lucy)<~>~quiet(lucy)))=>(~curious(mary)))&
(![X]:((~humble(X)|creative(X))<=>(~happy(X)<~>~creat... | quiet(john) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3892338935044767381542254
% SZS output start Proof for 3892338935044767381542254
3. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (~strong(X0) & old(X0))) [input p2]
11. ! [X0] : ((creative(X0) | calm(X0)) => (~funny(X0) & ~quiet(X0))) [input p10]
12. ! [X0] : (old(X0) => (~kind(X0) & calm(X... | 0 |
Everyone who is not kind or strong is happy. Everyone who is both humble and not wise is both not kind and rich. If someone is both generous and tall then someone is either not funny or not quiet and vice versa. Everyone who is both rich and not generous is not strong. If susan is either brave or tall then paul is both... | Susan is calm. | entailment | (![X]:((~kind(X)|strong(X))=>happy(X)))&
(![X]:((humble(X)&~wise(X))=>(~kind(X)&rich(X))))&
((?[X]:((generous(X)&tall(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:((rich(X)&~generous(X))=>~strong(X)))&
(((brave(susan)<~>tall(susan)))<=>((~curious(paul)&~generous(paul))))&
((?[X]:(wise(X)))=>((~wise(john)|generous(j... | calm(susan) | [
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4676951558347447854534562
% SZS output start Proof for 4676951558347447854534562
15. ! [X0] : (~calm(X0) <=> (quiet(X0) & ~creative(X0))) [input p14]
16. ! [X0] : (~strong(X0) <=> ~quiet(X0)) [input p15]
23. ~humble(susan) & ~strong(susan) [input p22]
25. ~calm(susan) [input hypothesis]
2... | 0 |
Everyone who is either not humble or not tall is both generous and not rich.
If someone is not creative then someone is either not humble or not curious.
Everyone who is either not generous or not happy is tall or not old.
If alice is quiet or patient then alice is not kind.
Everyone who is both not humble and not kind... | Alice is kind. | contradiction | (![X]:((~humble(X)<~>~tall(X))=>(generous(X)&~rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((~generous(X)<~>~happy(X))=>(tall(X)|~old(X))))&
(((quiet(alice)|patient(alice)))=>(~kind(alice)))&
(![X]:((~humble(X)&~kind(X))=>(happy(X)<~>~generous(X))))&
(![X]:((~brave(X)|~strong(X))<=>(~... | kind(alice) | [
"p3",
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 21519706612234708314226
% SZS output start Proof for 21519706612234708314226
4. (patient(alice) | quiet(alice)) => ~kind(alice) [input p3]
6. ! [X0] : ((~strong(X0) | ~brave(X0)) <=> (~patient(X0) <~> ~strong(X0))) [input p5]
24. creative(alice) & brave(alice) [input p23]
25. kind(alice) ... | 0 |
If john is both not old and not calm then susan is either not quiet or generous.
Everyone who is not quiet or not curious is not wise and vice versa.
Everyone who is curious or old is not creative or wise and vice versa.
If susan is either calm or not brave then someone is patient or not tall.
If someone is both old an... | John is calm. | neutral | (((~old(john)&~calm(john)))=>((~quiet(susan)<~>generous(susan))))&
(![X]:((~quiet(X)|~curious(X))<=>~wise(X)))&
(![X]:((curious(X)|old(X))<=>(~creative(X)|wise(X))))&
(((calm(susan)<~>~brave(susan)))=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((old(X)&~kind(X))))=>(~generous(mary)))&
(![X]:((~brave(X)&kind(X))<=>(creativ... | calm(john) | [] | null | 0 |
Everyone who is both humble and not rich is both quiet and not humble. If someone is both not calm and humble then lucy is not calm or generous and vice versa. Everyone who is patient or tall is happy or not old and vice versa. Everyone who is either not quiet or old is either curious or not kind. If john is not humble... | John is not rich. | contradiction | (![X]:((humble(X)&~rich(X))=>(quiet(X)&~humble(X))))&
((?[X]:((~calm(X)&humble(X))))<=>((~calm(lucy)|generous(lucy))))&
(![X]:((patient(X)|tall(X))<=>(happy(X)|~old(X))))&
(![X]:((~quiet(X)<~>old(X))=>(curious(X)<~>~kind(X))))&
(((~humble(john)|~wise(john)))=>(?[X]:((~brave(X)<~>~kind(X)))))&
(![X]:((kind(X)|~generous(... | ~rich(john) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1734496327437700042474761
% SZS output start Proof for 1734496327437700042474761
1. ! [X0] : ((~rich(X0) & humble(X0)) => (~humble(X0) & quiet(X0))) [input p0]
19. humble(john) & ~tall(john) [input p18]
25. ~rich(john) [input hypothesis]
30. ! [X0] : ((~humble(X0) & quiet(X0)) | (rich(X0)... | 0 |
If someone is not funny then someone is both not funny and not strong and vice versa.
If someone is either wise or generous then someone is either not tall or not humble.
Everyone who is both not curious and not old is not creative or humble and vice versa.
Everyone who is not strong is tall and vice versa.
If susan is... | Alice is not creative. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)&~strong(X)))))&
((?[X]:((wise(X)<~>generous(X))))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~curious(X)&~old(X))<=>(~creative(X)|humble(X))))&
(![X]:(~strong(X)<=>tall(X)))&
((generous(susan))<=>(wise(susan)))&
(((patient(john)&humble(john)))<=>(?[X]:((~strong(X)<~>funny(X)))))... | ~creative(alice) | [] | null | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Alice is patient. | neutral | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | patient(alice) | [] | null | 0 |
If john is not rich or not creative then someone is both tall and not wise and vice versa. If someone is both not patient and not kind then john is both generous and not happy. If paul is not calm then susan is not patient or not quiet and vice versa. If mary is patient then lucy is not humble. If someone is either not... | Paul is not funny. | neutral | (((~rich(john)|~creative(john)))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~patient(X)&~kind(X))))=>((generous(john)&~happy(john))))&
((~calm(paul))<=>((~patient(susan)|~quiet(susan))))&
((patient(mary))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~kind(X))))=>((~creative(fred)&~old(fred))))&
(![X]:((tall(X)&curious(X))<=... | ~funny(paul) | [] | null | 0 |
If fred is both not curious and creative then john is both not rich and old.
Everyone who is either wise or not kind is either not happy or funny and vice versa.
Everyone who is either not humble or not calm is both creative and not creative.
Everyone who is not old or curious is both not brave and not patient.
If some... | Paul is kind. | contradiction | (((~curious(fred)&creative(fred)))=>((~rich(john)&old(john))))&
(![X]:((wise(X)<~>~kind(X))<=>(~happy(X)<~>funny(X))))&
(![X]:((~humble(X)<~>~calm(X))=>(creative(X)&~creative(X))))&
(![X]:((~old(X)|curious(X))=>(~brave(X)&~patient(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![X]:(ca... | kind(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1562773150087706800547048
% SZS output start Proof for 1562773150087706800547048
15. ! [X0] : (kind(X0) => (~calm(X0) & ~kind(X0))) [input p14]
25. kind(paul) [input hypothesis]
39. ! [X0] : ((~calm(X0) & ~kind(X0)) | ~kind(X0)) [ennf transformation 15]
125. ~kind(X0) | ~kind(X0) [cnf tra... | 0 |
Everyone who is either quiet or not wise is tall.
Everyone who is either not brave or not generous is old or not happy and vice versa.
Everyone who is both generous and not creative is either kind or not kind.
If someone is not generous or humble then alice is both not happy and creative.
If paul is either generous or ... | Susan is calm. | neutral | (![X]:((quiet(X)<~>~wise(X))=>tall(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(old(X)|~happy(X))))&
(![X]:((generous(X)&~creative(X))=>(kind(X)<~>~kind(X))))&
((?[X]:((~generous(X)|humble(X))))=>((~happy(alice)&creative(alice))))&
(((generous(paul)<~>~generous(paul)))=>((~old(lucy)<~>~calm(lucy))))&
((?[X]:((~generous(X... | calm(susan) | [] | null | 0 |
If someone is either funny or not creative then someone is either not old or humble and vice versa. If fred is either strong or not curious then paul is either not brave or wise and vice versa. If alice is either tall or quiet then someone is either kind or not kind and vice versa. If susan is both creative and not cre... | Alice is not quiet. | entailment | ((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~old(X)<~>humble(X)))))&
(((strong(fred)<~>~curious(fred)))<=>((~brave(paul)<~>wise(paul))))&
(((tall(alice)<~>quiet(alice)))<=>(?[X]:((kind(X)<~>~kind(X)))))&
(((creative(susan)&~creative(susan)))=>(?[X]:((rich(X)<~>~calm(X)))))&
((~kind(john))=>((~patient(john)|~old(john)... | ~quiet(alice) | [
"p2",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 784514915230453263810267
% SZS output start Proof for 784514915230453263810267
3. (tall(alice) <~> quiet(alice)) <=> ? [X0] : (kind(X0) <~> ~kind(X0)) [input p2]
12. ! [X0] : ((~brave(X0) | old(X0)) <=> (~strong(X0) & funny(X0))) [input p11]
14. ! [X0] : ((funny(X0) | ~tall(X0)) => (~brav... | 0 |
Everyone who is either not calm or not quiet is old.
If paul is brave or generous then lucy is either not funny or wise.
If paul is both funny and tall then paul is either brave or happy and vice versa.
Everyone who is not funny or creative is not rich or not brave.
Everyone who is either not kind or calm is both not c... | Lucy is creative. | neutral | (![X]:((~calm(X)<~>~quiet(X))=>old(X)))&
(((brave(paul)|generous(paul)))=>((~funny(lucy)<~>wise(lucy))))&
(((funny(paul)&tall(paul)))<=>((brave(paul)<~>happy(paul))))&
(![X]:((~funny(X)|creative(X))=>(~rich(X)|~brave(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)&old(X))))&
((calm(lucy))<=>((~kind(paul)|~wise(paul)... | creative(lucy) | [] | null | 0 |
If someone is both happy and not generous then someone is strong or not wise and vice versa.
If fred is tall or not patient then lucy is not strong or creative.
If alice is tall or not patient then someone is both humble and patient.
Everyone who is either not wise or not creative is either not funny or not tall.
If so... | Lucy is old. | contradiction | ((?[X]:((happy(X)&~generous(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
(((tall(fred)|~patient(fred)))=>((~strong(lucy)|creative(lucy))))&
(((tall(alice)|~patient(alice)))=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((~wise(X)<~>~creative(X))=>(~funny(X)<~>~tall(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:((~kind(X)<~>fun... | old(lucy) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 862614847605357500974413
% SZS output start Proof for 862614847605357500974413
11. ! [X0] : ((strong(X0) | wise(X0)) => (~wise(X0) | ~old(X0))) [input p10]
13. ! [X0] : ((old(X0) | happy(X0)) => (wise(X0) & brave(X0))) [input p12]
18. old(lucy) [input hypothesis]
31. ! [X0] : ((~wise(X0) ... | 0 |
Everyone who is not creative is both old and not rich.
Everyone who is either funny or not humble is not humble.
Everyone who is rich is both patient and wise.
Everyone who is funny or not funny is either not strong or rich.
If someone is both not patient and not happy then someone is curious or happy and vice versa.
E... | John is rich. | contradiction | (![X]:(~creative(X)=>(old(X)&~rich(X))))&
(![X]:((funny(X)<~>~humble(X))=>~humble(X)))&
(![X]:(rich(X)=>(patient(X)&wise(X))))&
(![X]:((funny(X)|~funny(X))=>(~strong(X)<~>rich(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((curious(X)|happy(X)))))&
(![X]:((tall(X)<~>~creative(X))=>(~kind(X)<~>~old(X))))&
(![X]:((~hu... | rich(john) | [
"p0",
"p2",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2878433344621419271624063
% SZS output start Proof for 2878433344621419271624063
1. ! [X0] : (~creative(X0) => (~rich(X0) & old(X0))) [input p0]
3. ! [X0] : (rich(X0) => (wise(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | funny(X0)) => (~strong(X0) <~> rich(X0))) [input p3]
13... | 0 |
If mary is brave then someone is both not generous and quiet.
Everyone who is both not creative and old is both generous and not creative and vice versa.
Everyone who is patient is old or not kind and vice versa.
If paul is either not quiet or not wise then someone is quiet or not old and vice versa.
Everyone who is ca... | Paul is kind. | entailment | ((brave(mary))=>(?[X]:((~generous(X)&quiet(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)&~creative(X))))&
(![X]:(patient(X)<=>(old(X)|~kind(X))))&
(((~quiet(paul)<~>~wise(paul)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:(calm(X)<=>(~old(X)&wise(X))))&
((~wise(paul))=>(?[X]:((~strong(X)|patient(X)))))&
(((calm(john)&... | kind(paul) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 155127514099987356045008
% SZS output start Proof for 155127514099987356045008
3. ! [X0] : (patient(X0) <=> (~kind(X0) | old(X0))) [input p2]
16. ! [X0] : ((~happy(X0) & kind(X0)) <=> (patient(X0) | kind(X0))) [input p15]
22. ~kind(paul) [input hypothesis]
40. ! [X0] : ((patient(X0) | (ki... | 0 |
If lucy is either old or curious then alice is both patient and not tall and vice versa.
If alice is both not strong and not old then someone is either rich or wise.
Everyone who is both brave and not rich is calm and vice versa.
If someone is funny then mary is both happy and calm.
Everyone who is either not wise or n... | Paul is not strong. | neutral | (((old(lucy)<~>curious(lucy)))<=>((patient(alice)&~tall(alice))))&
(((~strong(alice)&~old(alice)))=>(?[X]:((rich(X)<~>wise(X)))))&
(![X]:((brave(X)&~rich(X))<=>calm(X)))&
((?[X]:(funny(X)))=>((happy(mary)&calm(mary))))&
(![X]:((~wise(X)<~>~curious(X))=>(~quiet(X)&humble(X))))&
(![X]:((~tall(X)<~>~strong(X))=>~happy(X))... | ~strong(paul) | [] | null | 0 |
If paul is generous or old then paul is not wise or brave and vice versa. If mary is either not kind or not tall then someone is both not patient and not brave and vice versa. If mary is either not funny or tall then alice is both not humble and not tall and vice versa. Everyone who is not kind is both not funny and no... | Alice is rich. | neutral | (((generous(paul)|old(paul)))<=>((~wise(paul)|brave(paul))))&
(((~kind(mary)<~>~tall(mary)))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((~funny(mary)<~>tall(mary)))<=>((~humble(alice)&~tall(alice))))&
(![X]:(~kind(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((happy(X)&~rich(X))))=>(?[X]:(~curious(X))))&
(((~rich(alice)<~>~curi... | rich(alice) | [] | null | 0 |
Everyone who is not curious or patient is either not brave or wise.
Everyone who is brave or wise is not wise.
If someone is quiet or rich then someone is not calm.
If someone is not tall then someone is not creative or not old.
If paul is either not quiet or not calm then someone is both rich and creative.
Everyone wh... | Mary is quiet. | contradiction | (![X]:((~curious(X)|patient(X))=>(~brave(X)<~>wise(X))))&
(![X]:((brave(X)|wise(X))=>~wise(X)))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:(~calm(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~creative(X)|~old(X)))))&
(((~quiet(paul)<~>~calm(paul)))=>(?[X]:((rich(X)&creative(X)))))&
(![X]:(calm(X)=>(~quiet(X)<~>~happy(X))))&
(((tall(ma... | quiet(mary) | [
"p1",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 384164533070662160227349
% SZS output start Proof for 384164533070662160227349
2. ! [X0] : ((wise(X0) | brave(X0)) => ~wise(X0)) [input p1]
8. ! [X0] : ((creative(X0) | happy(X0)) => (wise(X0) & ~brave(X0))) [input p7]
9. ! [X0] : ((wise(X0) & humble(X0)) <=> (brave(X0) & strong(X0))) [in... | 0 |
Everyone who is creative or tall is brave and vice versa.
If lucy is both not calm and calm then someone is humble and vice versa.
Everyone who is calm is not tall or not wise and vice versa.
Everyone who is both happy and not creative is either not patient or old and vice versa.
Everyone who is quiet is calm.
Everyone... | Mary is not rich. | entailment | (![X]:((creative(X)|tall(X))<=>brave(X)))&
(((~calm(lucy)&calm(lucy)))<=>(?[X]:(humble(X))))&
(![X]:(calm(X)<=>(~tall(X)|~wise(X))))&
(![X]:((happy(X)&~creative(X))<=>(~patient(X)<~>old(X))))&
(![X]:(quiet(X)=>calm(X)))&
(![X]:((calm(X)&~quiet(X))<=>(~generous(X)&patient(X))))&
(![X]:(generous(X)=>(rich(X)<~>humble(X))... | ~rich(mary) | [
"p2",
"p5",
"p12",
"p18",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2046174521019584196233270
% SZS output start Proof for 2046174521019584196233270
3. ! [X0] : (calm(X0) <=> (~wise(X0) | ~tall(X0))) [input p2]
6. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (patient(X0) & ~generous(X0))) [input p5]
13. ! [X0] : ((tall(X0) <~> ~generous(X0)) => (patient(X0) & ~o... | 0 |
Everyone who is either not creative or brave is both not curious and not rich and vice versa.
Everyone who is either not old or funny is not brave and vice versa.
Everyone who is not funny or old is both generous and creative.
If john is either calm or not strong then alice is funny.
Everyone who is not old is both not... | Fred is tall. | contradiction | (![X]:((~creative(X)<~>brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)<~>funny(X))<=>~brave(X)))&
(![X]:((~funny(X)|old(X))=>(generous(X)&creative(X))))&
(((calm(john)<~>~strong(john)))=>(funny(alice)))&
(![X]:(~old(X)<=>(~quiet(X)&~generous(X))))&
(![X]:((wise(X)<~>curious(X))<=>(~brave(X)|~strong(X))))&
(![X]:(... | tall(fred) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7634536614328605645773471
% SZS output start Proof for 7634536614328605645773471
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (~rich(X0) & ~curious(X0))) [input p0]
3. ! [X0] : ((old(X0) | ~funny(X0)) => (creative(X0) & generous(X0))) [input p2]
6. ! [X0] : ((wise(X0) <~> curious(X0)) <... | 0 |
If john is both creative and not creative then alice is humble or not quiet and vice versa. If someone is not wise then fred is rich or not quiet. If john is both wise and not happy then paul is not brave or tall and vice versa. If someone is both not brave and strong then fred is both kind and not rich and vice versa.... | Paul is strong. | entailment | (((creative(john)&~creative(john)))<=>((humble(alice)|~quiet(alice))))&
((?[X]:(~wise(X)))=>((rich(fred)|~quiet(fred))))&
(((wise(john)&~happy(john)))<=>((~brave(paul)|tall(paul))))&
((?[X]:((~brave(X)&strong(X))))<=>((kind(fred)&~rich(fred))))&
(((~old(alice)&~rich(alice)))=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&~str... | strong(paul) | [
"p2",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6921282245680091148962228
% SZS output start Proof for 6921282245680091148962228
3. (~happy(john) & wise(john)) <=> (tall(paul) | ~brave(paul)) [input p2]
7. ! [X0] : ((wise(X0) | generous(X0)) => (~quiet(X0) & strong(X0))) [input p6]
12. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> ~old(X0))... | 0 |
Everyone who is either not old or not humble is strong or quiet and vice versa.
If susan is quiet then lucy is not old or not generous.
If mary is both generous and not strong then someone is not happy or calm and vice versa.
If paul is kind then someone is both not wise and not funny.
If mary is either calm or not wis... | Susan is calm. | neutral | (![X]:((~old(X)<~>~humble(X))<=>(strong(X)|quiet(X))))&
((quiet(susan))=>((~old(lucy)|~generous(lucy))))&
(((generous(mary)&~strong(mary)))<=>(?[X]:((~happy(X)|calm(X)))))&
((kind(paul))=>(?[X]:((~wise(X)&~funny(X)))))&
(((calm(mary)<~>~wise(mary)))<=>((patient(alice)|~creative(alice))))&
(![X]:(generous(X)=>~kind(X)))... | calm(susan) | [] | null | 0 |
Everyone who is both patient and not quiet is not strong and vice versa.
Everyone who is not curious or not strong is both brave and old and vice versa.
If john is either not curious or rich then susan is not quiet or not happy.
If someone is not funny or not patient then someone is not strong and vice versa.
Everyone ... | Alice is not happy. | contradiction | (![X]:((patient(X)&~quiet(X))<=>~strong(X)))&
(![X]:((~curious(X)|~strong(X))<=>(brave(X)&old(X))))&
(((~curious(john)<~>rich(john)))=>((~quiet(susan)|~happy(susan))))&
((?[X]:((~funny(X)|~patient(X))))<=>(?[X]:(~strong(X))))&
(![X]:((humble(X)<~>~calm(X))=>(generous(X)<~>~rich(X))))&
((?[X]:((funny(X)|~kind(X))))=>(?[... | ~happy(alice) | [
"p0",
"p3",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5369378151320677224748018
% SZS output start Proof for 5369378151320677224748018
1. ! [X0] : ((~quiet(X0) & patient(X0)) <=> ~strong(X0)) [input p0]
4. ? [X0] : (~patient(X0) | ~funny(X0)) <=> ? [X0] : ~strong(X0) [input p3]
14. (~patient(alice) & kind(alice)) <=> ? [X0] : (~humble(X0) | ... | 0 |
Everyone who is not tall is not wise or brave and vice versa. Everyone who is not strong or funny is both not quiet and not funny and vice versa. If someone is generous or not curious then lucy is both not old and not humble and vice versa. If someone is either not quiet or brave then susan is either patient or not fun... | Paul is not tall. | entailment | (![X]:(~tall(X)<=>(~wise(X)|brave(X))))&
(![X]:((~strong(X)|funny(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((generous(X)|~curious(X))))<=>((~old(lucy)&~humble(lucy))))&
((?[X]:((~quiet(X)<~>brave(X))))<=>((patient(susan)<~>~funny(susan))))&
(![X]:((humble(X)&~quiet(X))=>kind(X)))&
((?[X]:(rich(X)))<=>((happy(alice)|~old(a... | ~tall(paul) | [
"p0",
"p1",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2745442425979123531764075
% SZS output start Proof for 2745442425979123531764075
1. ! [X0] : (~tall(X0) <=> (brave(X0) | ~wise(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : (rich(X0) => (~strong(X0) <~> ~brave(X0))) [input p... | 0 |
If someone is either not funny or not quiet then someone is both not creative and humble and vice versa. Everyone who is either not strong or not quiet is calm. If someone is either not kind or not tall then alice is both kind and not happy and vice versa. Everyone who is wise is both rich and not happy. If alice is wi... | John is not strong. | entailment | ((?[X]:((~funny(X)<~>~quiet(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((~strong(X)<~>~quiet(X))=>calm(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((kind(alice)&~happy(alice))))&
(![X]:(wise(X)=>(rich(X)&~happy(X))))&
((wise(alice))=>(?[X]:((~patient(X)|rich(X)))))&
(((~humble(mary)<~>generous(mary)))=>(?[X]:(strong... | ~strong(john) | [
"p3",
"p9",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7290203881361009734995291
% SZS output start Proof for 7290203881361009734995291
4. ! [X0] : (wise(X0) => (~happy(X0) & rich(X0))) [input p3]
10. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (quiet(X0) & funny(X0))) [input p9]
12. ! [X0] : (strong(X0) => patient(X0)) [input p11]
15. ! [X0] :... | 0 |
Everyone who is not kind or not creative is both quiet and not brave.
If mary is not kind or wise then paul is either not funny or not brave.
Everyone who is not rich is both not happy and not funny and vice versa.
If someone is not tall then paul is not creative.
If john is either not rich or not wise then fred is eit... | John is calm. | entailment | (![X]:((~kind(X)|~creative(X))=>(quiet(X)&~brave(X))))&
(((~kind(mary)|wise(mary)))=>((~funny(paul)<~>~brave(paul))))&
(![X]:(~rich(X)<=>(~happy(X)&~funny(X))))&
((?[X]:(~tall(X)))=>(~creative(paul)))&
(((~rich(john)<~>~wise(john)))=>((~old(fred)<~>generous(fred))))&
(![X]:((~wise(X)&generous(X))=>~patient(X)))&
((?[X]... | calm(john) | [
"p0",
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2144508982481923988164792
% SZS output start Proof for 2144508982481923988164792
1. ! [X0] : ((~creative(X0) | ~kind(X0)) => (~brave(X0) & quiet(X0))) [input p0]
4. ? [X0] : ~tall(X0) => ~creative(paul) [input p3]
8. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p7]
13. ! [X0] ... | 0 |
If alice is both not strong and not creative then someone is not strong or wise.
If paul is not curious or not humble then lucy is not humble and vice versa.
If mary is either not kind or not funny then someone is not old.
If paul is not brave then alice is kind or not creative.
Everyone who is either funny or not quie... | Lucy is humble. | contradiction | (((~strong(alice)&~creative(alice)))=>(?[X]:((~strong(X)|wise(X)))))&
(((~curious(paul)|~humble(paul)))<=>(~humble(lucy)))&
(((~kind(mary)<~>~funny(mary)))=>(?[X]:(~old(X))))&
((~brave(paul))=>((kind(alice)|~creative(alice))))&
(![X]:((funny(X)<~>~quiet(X))<=>(creative(X)|curious(X))))&
(![X]:((~generous(X)&funny(X))=>... | humble(lucy) | [
"p1",
"p4",
"p6",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4009588048272777108735332
% SZS output start Proof for 4009588048272777108735332
2. (~humble(paul) | ~curious(paul)) <=> ~humble(lucy) [input p1]
5. ! [X0] : ((funny(X0) <~> ~quiet(X0)) <=> (curious(X0) | creative(X0))) [input p4]
7. ! [X0] : (wise(X0) <=> (~quiet(X0) & funny(X0))) [input... | 0 |
If alice is not old then paul is not wise or humble and vice versa.
If fred is not generous or not quiet then john is either strong or funny and vice versa.
Everyone who is either kind or humble is both not creative and not strong and vice versa.
If fred is not brave then lucy is both not old and patient and vice versa... | John is happy. | neutral | ((~old(alice))<=>((~wise(paul)|humble(paul))))&
(((~generous(fred)|~quiet(fred)))<=>((strong(john)<~>funny(john))))&
(![X]:((kind(X)<~>humble(X))<=>(~creative(X)&~strong(X))))&
((~brave(fred))<=>((~old(lucy)&patient(lucy))))&
(((creative(john)|~strong(john)))<=>((happy(john)|~strong(john))))&
(![X]:((~creative(X)|~humb... | happy(john) | [] | null | 0 |
Everyone who is quiet is either not patient or funny and vice versa.
If fred is patient or humble then someone is quiet and vice versa.
If lucy is either not kind or kind then someone is both not humble and not strong.
If alice is happy or not happy then john is not wise or rich and vice versa.
If someone is not wise o... | Susan is wise. | contradiction | (![X]:(quiet(X)<=>(~patient(X)<~>funny(X))))&
(((patient(fred)|humble(fred)))<=>(?[X]:(quiet(X))))&
(((~kind(lucy)<~>kind(lucy)))=>(?[X]:((~humble(X)&~strong(X)))))&
(((happy(alice)|~happy(alice)))<=>((~wise(john)|rich(john))))&
((?[X]:((~wise(X)|tall(X))))=>(~wise(susan)))&
(![X]:(~patient(X)=>(~patient(X)&~generous(X... | wise(susan) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 824574326580137007136597
% SZS output start Proof for 824574326580137007136597
5. ? [X0] : (tall(X0) | ~wise(X0)) => ~wise(susan) [input p4]
7. ? [X0] : (~old(X0) | ~funny(X0)) <=> ? [X0] : (~creative(X0) <~> generous(X0)) [input p6]
8. ! [X0] : (creative(X0) <=> ~generous(X0)) [input p7]... | 0 |
If someone is both not funny and not quiet then someone is old or not strong and vice versa. If mary is not curious then john is not funny or kind and vice versa. If someone is calm then lucy is either happy or strong. If alice is either not happy or not wise then someone is not creative. If mary is wise then paul is e... | Mary is rich. | neutral | ((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((old(X)|~strong(X)))))&
((~curious(mary))<=>((~funny(john)|kind(john))))&
((?[X]:(calm(X)))=>((happy(lucy)<~>strong(lucy))))&
(((~happy(alice)<~>~wise(alice)))=>(?[X]:(~creative(X))))&
((wise(mary))=>((~calm(paul)<~>~creative(paul))))&
(![X]:((tall(X)<~>~old(X))=>(~old(X)<~>funn... | rich(mary) | [] | null | 0 |
Everyone who is not happy is either not tall or patient and vice versa.
Everyone who is not funny or tall is both not patient and happy.
If lucy is not tall then john is strong and vice versa.
Everyone who is not strong or strong is either not curious or brave.
Everyone who is both not curious and funny is both quiet a... | Mary is not curious. | entailment | (![X]:(~happy(X)<=>(~tall(X)<~>patient(X))))&
(![X]:((~funny(X)|tall(X))=>(~patient(X)&happy(X))))&
((~tall(lucy))<=>(strong(john)))&
(![X]:((~strong(X)|strong(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~curious(X)&funny(X))<=>(quiet(X)&~tall(X))))&
(![X]:((calm(X)&~calm(X))<=>(patient(X)<~>~calm(X))))&
(![X]:((~quiet(X)... | ~curious(mary) | [
"p0",
"p1",
"p4",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2314779266035693980195130
% SZS output start Proof for 2314779266035693980195130
1. ! [X0] : (~happy(X0) <=> (~tall(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((tall(X0) | ~funny(X0)) => (happy(X0) & ~patient(X0))) [input p1]
5. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (~tall(X0) & quie... | 0 |
If someone is strong or not old then someone is rich or generous.
Everyone who is not kind is either not brave or rich.
Everyone who is curious or quiet is either calm or creative.
If someone is kind then someone is rich or creative and vice versa.
If john is both not happy and not rich then lucy is generous or tall an... | John is generous. | neutral | ((?[X]:((strong(X)|~old(X))))=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>rich(X))))&
(![X]:((curious(X)|quiet(X))=>(calm(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|creative(X)))))&
(((~happy(john)&~rich(john)))<=>((generous(lucy)|tall(lucy))))&
(((~creative(fred)|creative(fred)))<=>((... | generous(john) | [] | null | 0 |
Everyone who is either brave or not brave is not quiet or generous and vice versa.
If someone is calm or not brave then someone is both wise and brave.
Everyone who is not happy is either funny or not happy.
If someone is both not happy and wise then alice is both not patient and calm.
If susan is both rich and not tal... | Lucy is not generous. | neutral | (![X]:((brave(X)<~>~brave(X))<=>(~quiet(X)|generous(X))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:((wise(X)&brave(X)))))&
(![X]:(~happy(X)=>(funny(X)<~>~happy(X))))&
((?[X]:((~happy(X)&wise(X))))=>((~patient(alice)&calm(alice))))&
(((rich(susan)&~tall(susan)))<=>(?[X]:((humble(X)&wise(X)))))&
((?[X]:((brave(X)<~>kind(X))... | ~generous(lucy) | [] | null | 0 |
If paul is either not tall or curious then someone is either rich or happy. Everyone who is either wise or strong is not quiet. If someone is not happy then lucy is both not patient and not generous and vice versa. Everyone who is tall is both not happy and rich and vice versa. Everyone who is both strong and happy is ... | John is kind. | entailment | (((~tall(paul)<~>curious(paul)))=>(?[X]:((rich(X)<~>happy(X)))))&
(![X]:((wise(X)<~>strong(X))=>~quiet(X)))&
((?[X]:(~happy(X)))<=>((~patient(lucy)&~generous(lucy))))&
(![X]:(tall(X)<=>(~happy(X)&rich(X))))&
(![X]:((strong(X)&happy(X))=>(~wise(X)|~quiet(X))))&
((?[X]:((funny(X)<~>curious(X))))=>((~generous(alice)&gener... | kind(john) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 281405501020339827596921
% SZS output start Proof for 281405501020339827596921
6. ? [X0] : (funny(X0) <~> curious(X0)) => (generous(alice) & ~generous(alice)) [input p5]
10. ! [X0] : (~curious(X0) <=> (funny(X0) & ~kind(X0))) [input p9]
22. ~kind(john) [input hypothesis]
28. (generous(ali... | 0 |
If paul is not humble or not quiet then someone is strong or not tall. If paul is strong then someone is either old or curious and vice versa. Everyone who is not happy is not brave. Everyone who is either not curious or rich is kind or not happy and vice versa. If someone is funny or not quiet then fred is both not cr... | Fred is not quiet. | entailment | (((~humble(paul)|~quiet(paul)))=>(?[X]:((strong(X)|~tall(X)))))&
((strong(paul))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:(~happy(X)=>~brave(X)))&
(![X]:((~curious(X)<~>rich(X))<=>(kind(X)|~happy(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>((~creative(fred)&~kind(fred))))&
(((old(john)|~rich(john)))<=>((patient(john)<~>~fu... | ~quiet(fred) | [
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7558295762554070629905192
% SZS output start Proof for 7558295762554070629905192
5. ? [X0] : (~quiet(X0) | funny(X0)) <=> (~kind(fred) & ~creative(fred)) [input p4]
7. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> curious(X0)) [input p6]
9. ! [X0] : ((patient(X0) & funny(X0)) => (brave(X0) &... | 0 |
Everyone who is either curious or old is either not old or humble. Everyone who is either humble or not old is generous or strong and vice versa. If someone is either not patient or not humble then someone is old or wise and vice versa. Everyone who is old or not wise is both not humble and not creative and vice versa.... | John is generous. | contradiction | (![X]:((curious(X)<~>old(X))=>(~old(X)<~>humble(X))))&
(![X]:((humble(X)<~>~old(X))<=>(generous(X)|strong(X))))&
((?[X]:((~patient(X)<~>~humble(X))))<=>(?[X]:((old(X)|wise(X)))))&
(![X]:((old(X)|~wise(X))<=>(~humble(X)&~creative(X))))&
((?[X]:((kind(X)<~>~creative(X))))<=>(~kind(susan)))&
(![X]:((~patient(X)&old(X))<=>... | generous(john) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7373497786958525559847424
% SZS output start Proof for 7373497786958525559847424
16. ! [X0] : (patient(X0) <=> (generous(X0) | creative(X0))) [input p15]
17. ~patient(john) & ~curious(john) [input p16]
25. generous(john) [input hypothesis]
78. ! [X0] : ((patient(X0) | (~generous(X0) & ~cr... | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa. Everyone who is curious or not kind is creative. Everyone who is either curious or kind is not brave or not strong. Everyone who is either brave or not rich is either old or creative and vice versa. If susan is either not generous or strong then su... | Susan is calm. | contradiction | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~kind(X))=>creative(X)))&
(![X]:((curious(X)<~>kind(X))=>(~brave(X)|~strong(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(old(X)<~>creative(X))))&
(((~generous(susan)<~>strong(susan)))<=>((~rich(susan)&~patient(susan))))&
((?[X]:((old(X)&patient(X))))<=>((~h... | calm(susan) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3578568831204561883554068
% SZS output start Proof for 3578568831204561883554068
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (tall(X0) | kind(X0))) [input p0]
12. ? [X0] : (~tall(X0) | ~brave(X0)) => ? [X0] : (~brave(X0) & tall(X0)) [input p11]
24. calm(susan) [input hypothesis]
26. ? [X0] :... | 0 |
If susan is not old or not curious then john is not wise or not quiet. Everyone who is strong or calm is both calm and tall and vice versa. If lucy is not wise or not patient then someone is both quiet and brave and vice versa. Everyone who is not quiet or generous is both calm and not happy and vice versa. Everyone wh... | Lucy is calm. | entailment | (((~old(susan)|~curious(susan)))=>((~wise(john)|~quiet(john))))&
(![X]:((strong(X)|calm(X))<=>(calm(X)&tall(X))))&
(((~wise(lucy)|~patient(lucy)))<=>(?[X]:((quiet(X)&brave(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(calm(X)&~happy(X))))&
(![X]:(rich(X)<=>(strong(X)|~humble(X))))&
(![X]:((~brave(X)|funny(X))<=>(~calm(X)<~... | calm(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1716688728566377918848886
% SZS output start Proof for 1716688728566377918848886
3. (~patient(lucy) | ~wise(lucy)) <=> ? [X0] : (brave(X0) & quiet(X0)) [input p2]
4. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (~happy(X0) & calm(X0))) [input p3]
6. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (~c... | 0 |
Everyone who is not strong or not funny is kind. Everyone who is both not happy and quiet is not happy or humble and vice versa. If someone is either humble or not brave then paul is either not happy or funny and vice versa. Everyone who is either not patient or kind is rich. If someone is not calm then fred is both no... | Fred is not wise. | contradiction | (![X]:((~strong(X)|~funny(X))=>kind(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~happy(X)|humble(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>((~happy(paul)<~>funny(paul))))&
(![X]:((~patient(X)<~>kind(X))=>rich(X)))&
((?[X]:(~calm(X)))<=>((~funny(fred)&~curious(fred))))&
((?[X]:(strong(X)))<=>(?[X]:((patient(X)|~happy(X)))))&
... | ~wise(fred) | [
"p0",
"p3",
"p4",
"p7",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6654183402885025084753892
% SZS output start Proof for 6654183402885025084753892
1. ! [X0] : ((~funny(X0) | ~strong(X0)) => kind(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> kind(X0)) => rich(X0)) [input p3]
5. ? [X0] : ~calm(X0) <=> (~curious(fred) & ~funny(fred)) [input p4]
8. ! [X0] ... | 0 |
If mary is old then alice is both calm and not strong.
If someone is both curious and not strong then alice is not rich or not patient.
Everyone who is either curious or calm is patient.
Everyone who is either not wise or rich is tall.
Everyone who is quiet is either not patient or not strong and vice versa.
If someone... | Susan is not quiet. | contradiction | ((old(mary))=>((calm(alice)&~strong(alice))))&
((?[X]:((curious(X)&~strong(X))))=>((~rich(alice)|~patient(alice))))&
(![X]:((curious(X)<~>calm(X))=>patient(X)))&
(![X]:((~wise(X)<~>rich(X))=>tall(X)))&
(![X]:(quiet(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((~wise(X)|~humble(X))))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(((p... | ~quiet(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 413658006756127181540420
% SZS output start Proof for 413658006756127181540420
16. ! [X0] : ((old(X0) & ~old(X0)) <=> ~quiet(X0)) [input p15]
23. ~quiet(susan) [input hypothesis]
59. ! [X0] : (((old(X0) & ~old(X0)) | quiet(X0)) & (~quiet(X0) | (~old(X0) | old(X0)))) [nnf transformation 16... | 0 |
Everyone who is wise is funny.
If someone is both humble and curious then alice is either happy or not happy.
If fred is not generous then someone is not humble or not strong and vice versa.
If susan is not strong then john is kind.
If lucy is creative then someone is both happy and funny.
Everyone who is both quiet an... | Mary is not brave. | contradiction | (![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~old(X)&~funny(X))))&
(![X]:(old(X)<=>(humble(X)&~ta... | ~brave(mary) | [
"p5",
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 518330563325941422015404
% SZS output start Proof for 518330563325941422015404
6. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p5]
7. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p6]
11. ? [X0] : quiet(X0) <=> (humble(paul) | generous(paul)) [input p10]... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is not curious is kind or pa... | John is strong. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)=>(kind(X)|patient(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((curi... | strong(john) | [] | null | 0 |
Everyone who is not humble or generous is not wise or quiet.
If someone is funny or not tall then someone is either kind or strong and vice versa.
If fred is either not tall or brave then john is happy.
Everyone who is either not funny or not strong is either patient or creative.
Everyone who is tall or creative is bot... | John is wise. | contradiction | (![X]:((~humble(X)|generous(X))=>(~wise(X)|quiet(X))))&
((?[X]:((funny(X)|~tall(X))))<=>(?[X]:((kind(X)<~>strong(X)))))&
(((~tall(fred)<~>brave(fred)))=>(happy(john)))&
(![X]:((~funny(X)<~>~strong(X))=>(patient(X)<~>creative(X))))&
(![X]:((tall(X)|creative(X))<=>(rich(X)&tall(X))))&
(((~kind(alice)<~>~wise(alice)))<=>(... | wise(john) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4234243132064236564237576
% SZS output start Proof for 4234243132064236564237576
1. ! [X0] : ((generous(X0) | ~humble(X0)) => (quiet(X0) | ~wise(X0))) [input p0]
12. ! [X0] : ((quiet(X0) | generous(X0)) <=> ~quiet(X0)) [input p11]
23. wise(john) [input hypothesis]
27. ! [X0] : ((quiet(X0)... | 0 |
Everyone who is strong is both curious and not quiet and vice versa.
If someone is old or not old then someone is quiet and vice versa.
Everyone who is not funny or not rich is both humble and not curious and vice versa.
If someone is not creative or strong then mary is not strong or not funny and vice versa.
Everyone ... | Lucy is not strong. | neutral | (![X]:(strong(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(humble(X)&~curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>((~strong(mary)|~funny(mary))))&
(![X]:((happy(X)<~>wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>~funny(X... | ~strong(lucy) | [] | null | 0 |
Everyone who is either not rich or creative is patient. Everyone who is both not wise and not generous is quiet or creative and vice versa. If someone is not rich or generous then fred is either calm or wise. Everyone who is both not curious and not rich is either happy or not tall. If someone is either tall or funny t... | Fred is not patient. | neutral | (![X]:((~rich(X)<~>creative(X))=>patient(X)))&
(![X]:((~wise(X)&~generous(X))<=>(quiet(X)|creative(X))))&
((?[X]:((~rich(X)|generous(X))))=>((calm(fred)<~>wise(fred))))&
(![X]:((~curious(X)&~rich(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((tall(X)<~>funny(X))))=>(?[X]:(~humble(X))))&
(![X]:(humble(X)=>(~humble(X)<~>~happy(X... | ~patient(fred) | [] | null | 0 |
If someone is wise then fred is both patient and not creative and vice versa.
Everyone who is humble or not wise is either kind or not curious and vice versa.
Everyone who is not funny or not calm is funny.
If lucy is both not creative and not kind then someone is either old or humble and vice versa.
If john is both ri... | Lucy is not creative. | entailment | ((?[X]:(wise(X)))<=>((patient(fred)&~creative(fred))))&
(![X]:((humble(X)|~wise(X))<=>(kind(X)<~>~curious(X))))&
(![X]:((~funny(X)|~calm(X))=>funny(X)))&
(((~creative(lucy)&~kind(lucy)))<=>(?[X]:((old(X)<~>humble(X)))))&
(((rich(john)&~funny(john)))<=>((humble(fred)|~tall(fred))))&
((?[X]:((~strong(X)&humble(X))))<=>((... | ~creative(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7507846991622008824285240
% SZS output start Proof for 7507846991622008824285240
3. ! [X0] : ((~calm(X0) | ~funny(X0)) => funny(X0)) [input p2]
4. (~kind(lucy) & ~creative(lucy)) <=> ? [X0] : (old(X0) <~> humble(X0)) [input p3]
5. (~funny(john) & rich(john)) <=> (~tall(fred) | humble(fred... | 0 |
If alice is both tall and not curious then susan is both kind and patient and vice versa.
If mary is wise or not curious then someone is creative and vice versa.
Everyone who is not funny or generous is humble or not patient and vice versa.
Everyone who is quiet or not generous is not tall.
Everyone who is both not gen... | John is patient. | entailment | (((tall(alice)&~curious(alice)))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~generous(X)&calm(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:(~funny(X)))<=>((tall(fred... | patient(john) | [
"p2",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4298871708506372397404414
% SZS output start Proof for 4298871708506372397404414
3. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~patient(X0) | humble(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | quiet(X0)) => ~tall(X0)) [input p3]
5. ! [X0] : ((calm(X0) & ~generous(X0)) <=> (~quiet(X0) |... | 0 |
Everyone who is old is calm and vice versa.
Everyone who is both patient and not happy is not happy or not old.
If alice is either not old or not happy then someone is either generous or not funny and vice versa.
If susan is both funny and generous then lucy is generous and vice versa.
If someone is not strong or funny... | Lucy is not strong. | neutral | (![X]:(old(X)<=>calm(X)))&
(![X]:((patient(X)&~happy(X))=>(~happy(X)|~old(X))))&
(((~old(alice)<~>~happy(alice)))<=>(?[X]:((generous(X)<~>~funny(X)))))&
(((funny(susan)&generous(susan)))<=>(generous(lucy)))&
((?[X]:((~strong(X)|funny(X))))=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:((wise(X)<~>~calm(X))<=>quiet(X)))&
(!... | ~strong(lucy) | [] | null | 0 |
Everyone who is not wise or old is tall or not old and vice versa.
Everyone who is either humble or not funny is both not brave and not wise and vice versa.
If someone is both not tall and not brave then john is not kind or brave and vice versa.
Everyone who is either creative or funny is strong and vice versa.
If some... | John is old. | entailment | (![X]:((~wise(X)|old(X))<=>(tall(X)|~old(X))))&
(![X]:((humble(X)<~>~funny(X))<=>(~brave(X)&~wise(X))))&
((?[X]:((~tall(X)&~brave(X))))<=>((~kind(john)|brave(john))))&
(![X]:((creative(X)<~>funny(X))<=>strong(X)))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((~humble(X)&~strong(X)))))&
(((~rich(fred)&generous(fred)))=>(?[X]:... | old(john) | [
"p0",
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5912566089822307606963379
% SZS output start Proof for 5912566089822307606963379
1. ! [X0] : ((old(X0) | ~wise(X0)) <=> (~old(X0) | tall(X0))) [input p0]
5. ? [X0] : (~old(X0) & strong(X0)) => ? [X0] : (~strong(X0) & ~humble(X0)) [input p4]
9. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (tall(X... | 0 |
If john is not strong or not happy then mary is humble or not patient.
If someone is either brave or not quiet then someone is either not happy or not curious.
Everyone who is quiet is either not funny or old.
Everyone who is not quiet or wise is both not old and funny.
Everyone who is either not tall or rich is curiou... | John is not funny. | contradiction | (((~strong(john)|~happy(john)))=>((humble(mary)|~patient(mary))))&
((?[X]:((brave(X)<~>~quiet(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
(![X]:(quiet(X)=>(~funny(X)<~>old(X))))&
(![X]:((~quiet(X)|wise(X))=>(~old(X)&funny(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(curious(X)|generous(X))))&
(![X]:((~humble(X)|~brave(X))<=>b... | ~funny(john) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4857562634266946060302263
% SZS output start Proof for 4857562634266946060302263
4. ! [X0] : ((wise(X0) | ~quiet(X0)) => (funny(X0) & ~old(X0))) [input p3]
10. ! [X0] : ((~quiet(X0) <~> patient(X0)) <=> (funny(X0) | ~patient(X0))) [input p9]
23. ~funny(john) [input hypothesis]
32. ! [X0] ... | 0 |
If mary is not wise or patient then someone is either not quiet or not patient.
If someone is not curious or not kind then someone is both not kind and not brave and vice versa.
Everyone who is not strong or generous is calm or generous and vice versa.
If john is both not quiet and funny then someone is either not kind... | Susan is curious. | entailment | (((~wise(mary)|patient(mary)))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~strong(X)|generous(X))<=>(calm(X)|generous(X))))&
(((~quiet(john)&funny(john)))<=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~humble(lucy)&~old(lucy)))<=>(?[X]:(wise(X))))&
(![X]:(ha... | curious(susan) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4607265164973944707855874
% SZS output start Proof for 4607265164973944707855874
4. (funny(john) & ~quiet(john)) <=> ? [X0] : (~kind(X0) <~> ~tall(X0)) [input p3]
6. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [inpu... | 0 |
Everyone who is wise is tall and vice versa.
If alice is either not quiet or wise then john is either kind or tall.
Everyone who is not calm or brave is both quiet and not strong.
Everyone who is both not happy and not quiet is either generous or rich and vice versa.
Everyone who is both not old and not funny is happy ... | Alice is creative. | neutral | (![X]:(wise(X)<=>tall(X)))&
(((~quiet(alice)<~>wise(alice)))=>((kind(john)<~>tall(john))))&
(![X]:((~calm(X)|brave(X))=>(quiet(X)&~strong(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(generous(X)<~>rich(X))))&
(![X]:((~old(X)&~funny(X))<=>(happy(X)|wise(X))))&
(![X]:((~generous(X)&~quiet(X))=>(quiet(X)&generous(X))))&
(![X]:(... | creative(alice) | [] | null | 0 |
If lucy is not strong or wise then alice is not happy.
Everyone who is not old or not happy is not humble or not rich and vice versa.
Everyone who is not humble is either patient or quiet and vice versa.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who... | Mary is not funny. | entailment | (((~strong(lucy)|wise(lucy)))=>(~happy(alice)))&
(![X]:((~old(X)|~happy(X))<=>(~humble(X)|~rich(X))))&
(![X]:(~humble(X)<=>(patient(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:(... | ~funny(mary) | [
"p7",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1965111386413186665972318
% SZS output start Proof for 1965111386413186665972318
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9. ! [X0] : ((~old(X0) | ~generous(X0)) => (calm(X0) & quiet(X0))) [input p8]
13. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> ... | 0 |
If someone is both not humble and not generous then paul is both not funny and old and vice versa.
Everyone who is wise or strong is rich or not patient and vice versa.
Everyone who is kind is either curious or not generous and vice versa.
If paul is either not quiet or generous then john is either strong or calm.
Ever... | Susan is curious. | neutral | ((?[X]:((~humble(X)&~generous(X))))<=>((~funny(paul)&old(paul))))&
(![X]:((wise(X)|strong(X))<=>(rich(X)|~patient(X))))&
(![X]:(kind(X)<=>(curious(X)<~>~generous(X))))&
(((~quiet(paul)<~>generous(paul)))=>((strong(john)<~>calm(john))))&
(![X]:(~rich(X)<=>(patient(X)<~>happy(X))))&
((wise(paul))=>(rich(lucy)))&
(![X]:(k... | curious(susan) | [] | null | 0 |
Everyone who is not brave or not creative is wise.
If paul is either generous or not calm then someone is kind or generous and vice versa.
If alice is not calm or calm then someone is not calm.
Everyone who is both creative and happy is both wise and not happy.
Everyone who is either wise or creative is either calm or ... | Alice is happy. | contradiction | (![X]:((~brave(X)|~creative(X))=>wise(X)))&
(((generous(paul)<~>~calm(paul)))<=>(?[X]:((kind(X)|generous(X)))))&
(((~calm(alice)|calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&happy(X))=>(wise(X)&~happy(X))))&
(![X]:((wise(X)<~>creative(X))<=>(calm(X)<~>~brave(X))))&
(![X]:(wise(X)<=>creative(X)))&
(((~kind(sus... | happy(alice) | [
"p0",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6036320779520381729672787
% SZS output start Proof for 6036320779520381729672787
1. ! [X0] : ((~creative(X0) | ~brave(X0)) => wise(X0)) [input p0]
4. ! [X0] : ((happy(X0) & creative(X0)) => (~happy(X0) & wise(X0))) [input p3]
6. ! [X0] : (wise(X0) <=> creative(X0)) [input p5]
25. happy(al... | 0 |
Everyone who is not creative is both brave and not kind and vice versa.
Everyone who is both not rich and not brave is not old or old and vice versa.
Everyone who is either not calm or humble is not old or funny.
If john is old then alice is either rich or not brave.
If alice is either old or not kind then alice is not... | Fred is old. | contradiction | (![X]:(~creative(X)<=>(brave(X)&~kind(X))))&
(![X]:((~rich(X)&~brave(X))<=>(~old(X)|old(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~old(X)|funny(X))))&
((old(john))=>((rich(alice)<~>~brave(alice))))&
(((old(alice)<~>~kind(alice)))=>((~happy(alice)|happy(alice))))&
(((rich(fred)<~>old(fred)))=>((~humble(john)&funny(john))))... | old(fred) | [
"p1",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3066058506538862020482565
% SZS output start Proof for 3066058506538862020482565
2. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (old(X0) | ~old(X0))) [input p1]
6. (rich(fred) <~> old(fred)) => (funny(john) & ~humble(john)) [input p5]
16. ! [X0] : ((~humble(X0) & ~brave(X0)) => brave(X0)) [inp... | 0 |
Everyone who is either kind or not happy is both patient and quiet. Everyone who is not humble or funny is both not quiet and not humble. If someone is old or quiet then someone is generous or not wise. Everyone who is either creative or not happy is not calm and vice versa. Everyone who is both patient and not strong ... | John is not calm. | neutral | (![X]:((kind(X)<~>~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((~humble(X)|funny(X))=>(~quiet(X)&~humble(X))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((creative(X)<~>~happy(X))<=>~calm(X)))&
(![X]:((patient(X)&~strong(X))=>(~wise(X)<~>brave(X))))&
((~happy(lucy))=>(?[X]:((~creative(X)|~cal... | ~calm(john) | [] | null | 0 |
Everyone who is either humble or patient is either humble or not strong and vice versa.
Everyone who is both quiet and not wise is wise.
Everyone who is either creative or calm is not generous or calm.
Everyone who is calm or not happy is either not rich or not generous.
If someone is either not humble or rich then som... | Fred is not strong. | neutral | (![X]:((humble(X)<~>patient(X))<=>(humble(X)<~>~strong(X))))&
(![X]:((quiet(X)&~wise(X))=>wise(X)))&
(![X]:((creative(X)<~>calm(X))=>(~generous(X)|calm(X))))&
(![X]:((calm(X)|~happy(X))=>(~rich(X)<~>~generous(X))))&
((?[X]:((~humble(X)<~>rich(X))))<=>(?[X]:(brave(X))))&
((~happy(alice))=>(~calm(mary)))&
((?[X]:((kind(X... | ~strong(fred) | [] | null | 0 |
If paul is not funny or patient then paul is not old or curious. Everyone who is generous or rich is both humble and not brave and vice versa. If fred is both not happy and not old then fred is either generous or not curious and vice versa. Everyone who is not rich or not generous is either brave or not kind and vice v... | Mary is not calm. | neutral | (((~funny(paul)|patient(paul)))=>((~old(paul)|curious(paul))))&
(![X]:((generous(X)|rich(X))<=>(humble(X)&~brave(X))))&
(((~happy(fred)&~old(fred)))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((~rich(X)|~generous(X))<=>(brave(X)<~>~kind(X))))&
((~humble(alice))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((~patient(mary))... | ~calm(mary) | [] | null | 0 |
Everyone who is both not generous and not curious is funny and vice versa. Everyone who is generous is not humble. Everyone who is creative or not creative is not humble and vice versa. If someone is not happy then fred is not tall. If someone is not happy then lucy is either not calm or tall and vice versa. If someone... | John is humble. | contradiction | (![X]:((~generous(X)&~curious(X))<=>funny(X)))&
(![X]:(generous(X)=>~humble(X)))&
(![X]:((creative(X)|~creative(X))<=>~humble(X)))&
((?[X]:(~happy(X)))=>(~tall(fred)))&
((?[X]:(~happy(X)))<=>((~calm(lucy)<~>tall(lucy))))&
((?[X]:((~rich(X)&~curious(X))))<=>(?[X]:((old(X)|quiet(X)))))&
((?[X]:((funny(X)&rich(X))))<=>(?[... | humble(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2970830772650385150852552
% SZS output start Proof for 2970830772650385150852552
3. ! [X0] : ((~creative(X0) | creative(X0)) <=> ~humble(X0)) [input p2]
23. humble(john) [input hypothesis]
39. ! [X0] : (((~creative(X0) | creative(X0)) | humble(X0)) & (~humble(X0) | (creative(X0) & ~creati... | 0 |
If susan is both not calm and quiet then someone is both not rich and not strong.
Everyone who is strong is either not old or tall and vice versa.
If fred is either not calm or not quiet then lucy is both not funny and strong and vice versa.
Everyone who is both curious and not kind is either not generous or brave.
Eve... | Susan is not creative. | neutral | (((~calm(susan)&quiet(susan)))=>(?[X]:((~rich(X)&~strong(X)))))&
(![X]:(strong(X)<=>(~old(X)<~>tall(X))))&
(((~calm(fred)<~>~quiet(fred)))<=>((~funny(lucy)&strong(lucy))))&
(![X]:((curious(X)&~kind(X))=>(~generous(X)<~>brave(X))))&
(![X]:((~brave(X)|funny(X))<=>(~creative(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~calm(X)))... | ~creative(susan) | [] | null | 0 |
Everyone who is tall or not creative is both not quiet and not patient and vice versa. If john is not quiet then lucy is generous or not strong and vice versa. If fred is not patient or not kind then paul is tall and vice versa. Everyone who is not humble is either kind or not funny and vice versa. Everyone who is old ... | Alice is wise. | entailment | (![X]:((tall(X)|~creative(X))<=>(~quiet(X)&~patient(X))))&
((~quiet(john))<=>((generous(lucy)|~strong(lucy))))&
(((~patient(fred)|~kind(fred)))<=>(tall(paul)))&
(![X]:(~humble(X)<=>(kind(X)<~>~funny(X))))&
(![X]:((old(X)|~humble(X))=>(happy(X)|kind(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(rich(X)=>(tall(X)&~cu... | wise(alice) | [
"p0",
"p5",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4046125355722996578648155
% SZS output start Proof for 4046125355722996578648155
1. ! [X0] : ((~creative(X0) | tall(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : (~generous(X0) <=> ~strong(X0)) [input p5]
10. ! [X0] : ((~strong(X0) | wise(X0)) <=> (~patient(X0) | patient(X0... | 0 |
If someone is creative or not strong then someone is wise. Everyone who is not humble is not strong. Everyone who is either funny or kind is both not brave and tall. Everyone who is patient is either not funny or not tall and vice versa. Everyone who is patient is both not kind and humble and vice versa. Everyone who i... | Alice is calm. | neutral | ((?[X]:((creative(X)|~strong(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>~strong(X)))&
(![X]:((funny(X)<~>kind(X))=>(~brave(X)&tall(X))))&
(![X]:(patient(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~>~gene... | calm(alice) | [] | null | 0 |
Everyone who is either not kind or humble is either not calm or humble and vice versa.
If someone is either rich or not curious then susan is both calm and rich and vice versa.
Everyone who is either not strong or not brave is both patient and not calm.
Everyone who is calm or strong is either kind or not humble.
If so... | Susan is not happy. | contradiction | (![X]:((~kind(X)<~>humble(X))<=>(~calm(X)<~>humble(X))))&
((?[X]:((rich(X)<~>~curious(X))))<=>((calm(susan)&rich(susan))))&
(![X]:((~strong(X)<~>~brave(X))=>(patient(X)&~calm(X))))&
(![X]:((calm(X)|strong(X))=>(kind(X)<~>~humble(X))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)<~>~generous(X)))))&
(![X]:((~humble(X)&~patient... | ~happy(susan) | [
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6779313086027699945898590
% SZS output start Proof for 6779313086027699945898590
6. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (~kind(X0) | patient(X0))) [input p5]
9. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (patient(X0) & ~patient(X0))) [input p8]
12. ! [X0] : (~creative(X0) => (patient(X0... | 0 |
If someone is not curious then someone is not wise or not kind and vice versa. If someone is not generous then susan is old and vice versa. Everyone who is either tall or not creative is not quiet and vice versa. If alice is both not calm and not generous then susan is either generous or not strong and vice versa. Ever... | Susan is generous. | neutral | ((?[X]:(~curious(X)))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:(~generous(X)))<=>(old(susan)))&
(![X]:((tall(X)<~>~creative(X))<=>~quiet(X)))&
(((~calm(alice)&~generous(alice)))<=>((generous(susan)<~>~strong(susan))))&
(![X]:((rich(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:((happy(X)<~>wise(X))<=>patient(X)))&
(!... | generous(susan) | [] | null | 0 |
Everyone who is either not calm or generous is either happy or old and vice versa. Everyone who is curious or patient is either strong or kind. If fred is both curious and happy then susan is funny and vice versa. Everyone who is curious or creative is both not kind and generous. Everyone who is happy or not kind is no... | Alice is old. | entailment | (![X]:((~calm(X)<~>generous(X))<=>(happy(X)<~>old(X))))&
(![X]:((curious(X)|patient(X))=>(strong(X)<~>kind(X))))&
(((curious(fred)&happy(fred)))<=>(funny(susan)))&
(![X]:((curious(X)|creative(X))=>(~kind(X)&generous(X))))&
(![X]:((happy(X)|~kind(X))=>~curious(X)))&
(![X]:(~brave(X)=>(~happy(X)&~brave(X))))&
(![X]:((hap... | old(alice) | [
"p0",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 907935703915313639981447
% SZS output start Proof for 907935703915313639981447
1. ! [X0] : ((~calm(X0) <~> generous(X0)) <=> (happy(X0) <~> old(X0))) [input p0]
7. ! [X0] : ((~tall(X0) & happy(X0)) <=> generous(X0)) [input p6]
16. ! [X0] : ((~tall(X0) | happy(X0)) => (~generous(X0) & ~cal... | 0 |
Everyone who is either tall or rich is not curious and vice versa.
Everyone who is not happy is not creative.
Everyone who is either not curious or not calm is both kind and curious and vice versa.
If alice is either not humble or not generous then someone is either creative or generous and vice versa.
Everyone who is ... | Mary is creative. | neutral | (![X]:((tall(X)<~>rich(X))<=>~curious(X)))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~curious(X)<~>~calm(X))<=>(kind(X)&curious(X))))&
(((~humble(alice)<~>~generous(alice)))<=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:(generous(X)=>(~strong(X)&~brave(X))))&
(((old(lucy)<~>~creative(lucy)))<=>(?[X]:((rich(X)<~>tall(... | creative(mary) | [] | null | 0 |
If paul is not kind or tall then someone is not curious or brave and vice versa. Everyone who is creative or not tall is both quiet and old. If someone is both curious and not old then fred is both quiet and not funny and vice versa. Everyone who is either not curious or not wise is quiet or not brave. If alice is eith... | Fred is tall. | entailment | (((~kind(paul)|tall(paul)))<=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((creative(X)|~tall(X))=>(quiet(X)&old(X))))&
((?[X]:((curious(X)&~old(X))))<=>((quiet(fred)&~funny(fred))))&
(![X]:((~curious(X)<~>~wise(X))=>(quiet(X)|~brave(X))))&
(((tall(alice)<~>quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:(~humble(X)<=>(funny(X)<~... | tall(fred) | [
"p1",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5599726935775086124598084
% SZS output start Proof for 5599726935775086124598084
2. ! [X0] : ((~tall(X0) | creative(X0)) => (old(X0) & quiet(X0))) [input p1]
8. ! [X0] : (~wise(X0) <=> (old(X0) | happy(X0))) [input p7]
14. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~kind(X0) & ~quiet(X0))) [in... | 0 |
Everyone who is both strong and generous is either patient or generous and vice versa.
Everyone who is not brave or old is either not rich or old.
If someone is both strong and brave then someone is not rich.
If someone is both not creative and not calm then someone is either happy or not tall and vice versa.
If someon... | Paul is not happy. | entailment | (![X]:((strong(X)&generous(X))<=>(patient(X)<~>generous(X))))&
(![X]:((~brave(X)|old(X))=>(~rich(X)<~>old(X))))&
((?[X]:((strong(X)&brave(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:(~generous(X)))<=>((~old(susan)&brave(susan))))&
(![X]:((old(X)|~rich(X))<=>(br... | ~happy(paul) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8797008252651569623511478
% SZS output start Proof for 8797008252651569623511478
7. ! [X0] : (happy(X0) => quiet(X0)) [input p6]
18. ~patient(paul) & ~quiet(paul) [input p17]
24. happy(paul) [input hypothesis]
30. ! [X0] : (quiet(X0) | ~happy(X0)) [ennf transformation 7]
106. ~happy(X0) |... | 0 |
Everyone who is not strong is strong.
If someone is funny then someone is either tall or calm.
If someone is not calm or not tall then someone is either not patient or not tall.
If someone is either quiet or not curious then susan is both calm and not generous and vice versa.
Everyone who is kind or quiet is wise or ri... | Mary is quiet. | entailment | (![X]:(~strong(X)=>strong(X)))&
((?[X]:(funny(X)))=>(?[X]:((tall(X)<~>calm(X)))))&
((?[X]:((~calm(X)|~tall(X))))=>(?[X]:((~patient(X)<~>~tall(X)))))&
((?[X]:((quiet(X)<~>~curious(X))))<=>((calm(susan)&~generous(susan))))&
(![X]:((kind(X)|quiet(X))<=>(wise(X)|rich(X))))&
((?[X]:((brave(X)<~>~generous(X))))<=>((~calm(mar... | quiet(mary) | [
"p0",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2247312445744200055160927
% SZS output start Proof for 2247312445744200055160927
1. ! [X0] : (~strong(X0) => strong(X0)) [input p0]
12. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (strong(X0) <~> rich(X0))) [input p11]
14. ? [X0] : (calm(X0) & ~rich(X0)) <=> ? [X0] : (~quiet(X0) | old(X0)) [i... | 0 |
Everyone who is either calm or not creative is either not curious or not brave and vice versa. If fred is either not humble or generous then fred is both not strong and not happy. If john is kind then mary is quiet or tall. If someone is not kind or not patient then fred is generous or patient. Everyone who is not rich... | Fred is old. | contradiction | (![X]:((calm(X)<~>~creative(X))<=>(~curious(X)<~>~brave(X))))&
(((~humble(fred)<~>generous(fred)))=>((~strong(fred)&~happy(fred))))&
((kind(john))=>((quiet(mary)|tall(mary))))&
((?[X]:((~kind(X)|~patient(X))))=>((generous(fred)|patient(fred))))&
(![X]:((~rich(X)|~humble(X))<=>(~tall(X)<~>~quiet(X))))&
(((wise(susan)<~>... | old(fred) | [
"p3",
"p6",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 577928458513794549767170
% SZS output start Proof for 577928458513794549767170
4. ? [X0] : (~patient(X0) | ~kind(X0)) => (patient(fred) | generous(fred)) [input p3]
7. ! [X0] : ((generous(X0) & old(X0)) <=> (~calm(X0) <~> ~creative(X0))) [input p6]
13. ! [X0] : ((calm(X0) | happy(X0)) => ... | 0 |
If someone is both not brave and rich then someone is not creative. If someone is not creative then someone is both not creative and not strong and vice versa. Everyone who is not creative or not generous is either not tall or not curious and vice versa. Everyone who is both not brave and old is either not humble or no... | Susan is calm. | contradiction | ((?[X]:((~brave(X)&rich(X))))=>(?[X]:(~creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~creative(X)&~strong(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~tall(X)<~>~curious(X))))&
(![X]:((~brave(X)&old(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((strong(X)|wise(X))=>~calm(X)))&
(![X]:((humble(X)&~humble(X))<=>(~wise(X... | calm(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 755013844306632204530368
% SZS output start Proof for 755013844306632204530368
13. ! [X0] : ((humble(X0) & ~humble(X0)) <=> calm(X0)) [input p12]
23. calm(susan) [input hypothesis]
56. ! [X0] : (((humble(X0) & ~humble(X0)) | ~calm(X0)) & (calm(X0) | (~humble(X0) | humble(X0)))) [nnf trans... | 0 |
If someone is both not quiet and not calm then someone is humble and vice versa.
If someone is patient or not old then someone is rich.
If someone is not kind then someone is both not happy and not old.
Everyone who is patient or not quiet is both humble and wise.
Everyone who is not rich or not generous is either not ... | Lucy is not kind. | contradiction | ((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:(humble(X))))&
((?[X]:((patient(X)|~old(X))))=>(?[X]:(rich(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:((patient(X)|~quiet(X))=>(humble(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~funny(X)<~>happy(X))))&
(![X]:((~creative(X)|funny(X))<=>(happy(X)&~patient(... | ~kind(lucy) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7814200716108899814345321
% SZS output start Proof for 7814200716108899814345321
8. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> (~generous(X0) & generous(X0))) [input p7]
10. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [input p9]
21. ~kind(lucy) [input hypothesis]
52. ! [X0]... | 0 |
Everyone who is not humble is kind or not strong.
If alice is not kind then someone is both wise and curious and vice versa.
Everyone who is both not quiet and not wise is not rich and vice versa.
Everyone who is curious is both not generous and not humble.
Everyone who is not quiet is patient or generous and vice vers... | Lucy is not quiet. | contradiction | (![X]:(~humble(X)=>(kind(X)|~strong(X))))&
((~kind(alice))<=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>~rich(X)))&
(![X]:(curious(X)=>(~generous(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)|generous(X))))&
(![X]:((~calm(X)|quiet(X))<=>(~old(X)|~wise(X))))&
(![X]:(calm(X)<=>(~tall(X)|calm(X))))&
... | ~quiet(lucy) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6842973134939903719960021
% SZS output start Proof for 6842973134939903719960021
4. ! [X0] : (curious(X0) => (~humble(X0) & ~generous(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (generous(X0) | patient(X0))) [input p4]
8. ! [X0] : ((~generous(X0) | generous(X0)) => (curious(X0) & ~patien... | 0 |
If alice is wise then lucy is both not happy and not quiet.
Everyone who is both quiet and rich is rich or generous.
Everyone who is either generous or not curious is not tall or not strong and vice versa.
Everyone who is patient or not happy is either generous or not wise and vice versa.
Everyone who is brave is eithe... | Alice is not rich. | neutral | ((wise(alice))=>((~happy(lucy)&~quiet(lucy))))&
(![X]:((quiet(X)&rich(X))=>(rich(X)|generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~tall(X)|~strong(X))))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)<~>~wise(X))))&
(![X]:(brave(X)=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)&~brave(X))<=>(~brave(X)&wise(X)))... | ~rich(alice) | [] | null | 0 |
Everyone who is both not happy and not kind is either not humble or not quiet and vice versa. Everyone who is calm is not creative and vice versa. Everyone who is either not humble or generous is both not generous and not brave and vice versa. Everyone who is both creative and funny is either not humble or not old and ... | Paul is not rich. | contradiction | (![X]:((~happy(X)&~kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:(calm(X)<=>~creative(X)))&
(![X]:((~humble(X)<~>generous(X))<=>(~generous(X)&~brave(X))))&
(![X]:((creative(X)&funny(X))<=>(~humble(X)<~>~old(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>(humble(X)&funny(X))))&
(![X]:((quiet(X)|~brave(X))<=>(~old(X)|~patient(X)... | ~rich(paul) | [
"p0",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 154708032907301276803800
% SZS output start Proof for 154708032907301276803800
1. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (~humble(X0) <~> ~quiet(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> ~strong(X0)) <=> (funny(X0) & humble(X0))) [input p4]
8. ! [X0] : ((~old(X0) | ~wise(X0)) => (patie... | 0 |
Everyone who is both not old and not kind is either not funny or not brave and vice versa.
Everyone who is strong is old and vice versa.
If someone is not strong then someone is calm.
Everyone who is both not tall and wise is either not quiet or tall and vice versa.
Everyone who is patient or not rich is not patient an... | Paul is not tall. | neutral | (![X]:((~old(X)&~kind(X))<=>(~funny(X)<~>~brave(X))))&
(![X]:(strong(X)<=>old(X)))&
((?[X]:(~strong(X)))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)&wise(X))<=>(~quiet(X)<~>tall(X))))&
(![X]:((patient(X)|~rich(X))<=>~patient(X)))&
(![X]:((calm(X)<~>~funny(X))<=>(~brave(X)|generous(X))))&
(![X]:(wise(X)<=>(~strong(X)|brave(X))... | ~tall(paul) | [] | null | 0 |
Everyone who is both wise and not wise is not patient or quiet. If someone is either not curious or not rich then someone is either not creative or not kind. Everyone who is either happy or old is rich or happy and vice versa. If someone is not wise then someone is either not wise or old. Everyone who is happy is both ... | Susan is old. | entailment | (![X]:((wise(X)&~wise(X))=>(~patient(X)|quiet(X))))&
((?[X]:((~curious(X)<~>~rich(X))))=>(?[X]:((~creative(X)<~>~kind(X)))))&
(![X]:((happy(X)<~>old(X))<=>(rich(X)|happy(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:(happy(X)<=>(quiet(X)&~generous(X))))&
(![X]:(patient(X)<=>(~wise(X)|humble(X))))&
(![... | old(susan) | [
"p2",
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4004129350802726689551310
% SZS output start Proof for 4004129350802726689551310
3. ! [X0] : ((happy(X0) <~> old(X0)) <=> (happy(X0) | rich(X0))) [input p2]
5. ! [X0] : (happy(X0) <=> (~generous(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | patient(X0)) => old(X0)) [input p6]
8. ... | 0 |
Everyone who is either happy or not humble is both happy and generous and vice versa.
If someone is either old or not tall then susan is either tall or wise.
Everyone who is quiet or not funny is not funny and vice versa.
Everyone who is either funny or happy is both not tall and humble.
If fred is either tall or funny... | Paul is not curious. | contradiction | (![X]:((happy(X)<~>~humble(X))<=>(happy(X)&generous(X))))&
((?[X]:((old(X)<~>~tall(X))))=>((tall(susan)<~>wise(susan))))&
(![X]:((quiet(X)|~funny(X))<=>~funny(X)))&
(![X]:((funny(X)<~>happy(X))=>(~tall(X)&humble(X))))&
(((tall(fred)<~>funny(fred)))=>(?[X]:((~patient(X)<~>~creative(X)))))&
(![X]:((~brave(X)&brave(X))<=>... | ~curious(paul) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8067809169272525709559399
% SZS output start Proof for 8067809169272525709559399
1. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (generous(X0) & happy(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | quiet(X0)) <=> ~funny(X0)) [input p2]
4. ! [X0] : ((funny(X0) <~> happy(X0)) => (humble(X0) & ~ta... | 0 |
Everyone who is not old or brave is both not brave and not old and vice versa. If someone is humble or happy then mary is either tall or not creative. Everyone who is not brave or kind is not funny and vice versa. Everyone who is rich is wise or not tall. Everyone who is either not curious or not calm is curious and vi... | John is not creative. | contradiction | (![X]:((~old(X)|brave(X))<=>(~brave(X)&~old(X))))&
((?[X]:((humble(X)|happy(X))))=>((tall(mary)<~>~creative(mary))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>... | ~creative(john) | [
"p0",
"p2",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7336455439928787161832740
% SZS output start Proof for 7336455439928787161832740
1. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~old(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4... | 0 |
Everyone who is either happy or not humble is both not quiet and brave and vice versa. If someone is both calm and humble then someone is creative and vice versa. If someone is quiet then fred is calm or not quiet. Everyone who is not creative is either creative or humble. If fred is funny or generous then someone is n... | Lucy is not happy. | neutral | (![X]:((happy(X)<~>~humble(X))<=>(~quiet(X)&brave(X))))&
((?[X]:((calm(X)&humble(X))))<=>(?[X]:(creative(X))))&
((?[X]:(quiet(X)))=>((calm(fred)|~quiet(fred))))&
(![X]:(~creative(X)=>(creative(X)<~>humble(X))))&
(((funny(fred)|generous(fred)))=>(?[X]:(~curious(X))))&
(((~calm(john)&~tall(john)))<=>((strong(susan)<~>hum... | ~happy(lucy) | [] | null | 0 |
Everyone who is strong is not generous and vice versa.
If john is not rich or not calm then someone is not strong or not wise.
Everyone who is not calm or not strong is both not wise and not happy and vice versa.
If lucy is both not creative and not generous then paul is not kind or not tall and vice versa.
If someone ... | John is wise. | neutral | (![X]:(strong(X)<=>~generous(X)))&
(((~rich(john)|~calm(john)))=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:((~calm(X)|~strong(X))<=>(~wise(X)&~happy(X))))&
(((~creative(lucy)&~generous(lucy)))<=>((~kind(paul)|~tall(paul))))&
((?[X]:(generous(X)))<=>((~brave(mary)&brave(mary))))&
(![X]:((~kind(X)&~happy(X))=>(~kind(X)<~>pa... | wise(john) | [] | null | 0 |
Everyone who is either not generous or brave is not quiet and vice versa.
Everyone who is either funny or not tall is funny or not tall and vice versa.
Everyone who is both tall and not curious is calm.
Everyone who is not generous or not brave is humble and vice versa.
Everyone who is both not generous and brave is ri... | Alice is humble. | entailment | (![X]:((~generous(X)<~>brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>~tall(X))<=>(funny(X)|~tall(X))))&
(![X]:((tall(X)&~curious(X))=>calm(X)))&
(![X]:((~generous(X)|~brave(X))<=>humble(X)))&
(![X]:((~generous(X)&brave(X))<=>rich(X)))&
(![X]:(old(X)=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(happy(X)|curious(X))))&... | humble(alice) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7785342522099733079874190
% SZS output start Proof for 7785342522099733079874190
1. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) => calm(X0)) [input p2]
4. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> humble(X0)) [input p3]
7. ! [... | 0 |
If someone is either strong or patient then someone is curious.
Everyone who is curious is both patient and old.
Everyone who is creative is not wise or not creative.
If fred is not creative or calm then mary is either funny or not rich and vice versa.
Everyone who is either not quiet or creative is not generous.
Every... | Mary is quiet. | entailment | ((?[X]:((strong(X)<~>patient(X))))=>(?[X]:(curious(X))))&
(![X]:(curious(X)=>(patient(X)&old(X))))&
(![X]:(creative(X)=>(~wise(X)|~creative(X))))&
(((~creative(fred)|calm(fred)))<=>((funny(mary)<~>~rich(mary))))&
(![X]:((~quiet(X)<~>creative(X))=>~generous(X)))&
(![X]:((creative(X)|calm(X))<=>(~happy(X)<~>creative(X)))... | quiet(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 955201581798521837801408
% SZS output start Proof for 955201581798521837801408
9. ! [X0] : (quiet(X0) <=> (~funny(X0) | ~quiet(X0))) [input p8]
25. ~quiet(mary) [input hypothesis]
52. ! [X0] : ((quiet(X0) | (funny(X0) & quiet(X0))) & ((~funny(X0) | ~quiet(X0)) | ~quiet(X0))) [nnf transfor... | 0 |
Everyone who is not quiet is both not brave and not calm.
If mary is not kind or rich then susan is either happy or wise and vice versa.
If someone is either humble or rich then susan is both not wise and not rich and vice versa.
Everyone who is wise is wise or not patient and vice versa.
If alice is calm then someone ... | Lucy is not creative. | contradiction | (![X]:(~quiet(X)=>(~brave(X)&~calm(X))))&
(((~kind(mary)|rich(mary)))<=>((happy(susan)<~>wise(susan))))&
((?[X]:((humble(X)<~>rich(X))))<=>((~wise(susan)&~rich(susan))))&
(![X]:(wise(X)<=>(wise(X)|~patient(X))))&
((calm(alice))=>(?[X]:(quiet(X))))&
(((~calm(lucy)&~brave(lucy)))=>((funny(alice)|tall(alice))))&
(![X]:(ca... | ~creative(lucy) | [
"p0",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3891413453359763697354944
% SZS output start Proof for 3891413453359763697354944
1. ! [X0] : (~quiet(X0) => (~calm(X0) & ~brave(X0))) [input p0]
14. ~quiet(alice) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p13]
18. brave(alice) [input p17]
25. ~creative(lucy) [input hypothesis]
26. ! ... | 0 |
Everyone who is both not strong and not kind is either not tall or not strong.
If mary is either creative or not strong then someone is either not humble or curious.
If lucy is both not happy and not brave then susan is calm.
Everyone who is both curious and old is quiet or not patient.
Everyone who is not wise is eith... | Paul is not calm. | neutral | (![X]:((~strong(X)&~kind(X))=>(~tall(X)<~>~strong(X))))&
(((creative(mary)<~>~strong(mary)))=>(?[X]:((~humble(X)<~>curious(X)))))&
(((~happy(lucy)&~brave(lucy)))=>(calm(susan)))&
(![X]:((curious(X)&old(X))=>(quiet(X)|~patient(X))))&
(![X]:(~wise(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((brave(X)|tall(X))=>(rich(X)<~>~curio... | ~calm(paul) | [] | null | 0 |
If susan is both not rich and not tall then someone is both not rich and not creative.
If someone is not humble or patient then john is either not rich or old and vice versa.
Everyone who is not brave is both not happy and rich and vice versa.
Everyone who is either not generous or old is either creative or not humble.... | Lucy is old. | neutral | (((~rich(susan)&~tall(susan)))=>(?[X]:((~rich(X)&~creative(X)))))&
((?[X]:((~humble(X)|patient(X))))<=>((~rich(john)<~>old(john))))&
(![X]:(~brave(X)<=>(~happy(X)&rich(X))))&
(![X]:((~generous(X)<~>old(X))=>(creative(X)<~>~humble(X))))&
(![X]:((tall(X)&rich(X))<=>(patient(X)|~patient(X))))&
(((humble(paul)<~>~wise(paul... | old(lucy) | [] | null | 0 |
If someone is strong or not tall then fred is not strong.
Everyone who is not calm or patient is not tall or happy and vice versa.
If someone is strong then lucy is either humble or not patient.
If john is humble or not creative then someone is not old or not patient and vice versa.
If fred is not generous or not calm ... | Lucy is wise. | contradiction | ((?[X]:((strong(X)|~tall(X))))=>(~strong(fred)))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)|happy(X))))&
((?[X]:(strong(X)))=>((humble(lucy)<~>~patient(lucy))))&
(((humble(john)|~creative(john)))<=>(?[X]:((~old(X)|~patient(X)))))&
(((~generous(fred)|~calm(fred)))<=>(?[X]:(funny(X))))&
((funny(lucy))<=>(?[X]:((~tall(X)&f... | wise(lucy) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5312843701653579062583294
% SZS output start Proof for 5312843701653579062583294
8. ! [X0] : ((wise(X0) | ~patient(X0)) <=> rich(X0)) [input p7]
23. ~rich(lucy) [input p22]
25. wise(lucy) [input hypothesis]
56. ! [X0] : (((wise(X0) | ~patient(X0)) | ~rich(X0)) & (rich(X0) | (~wise(X0) & p... | 0 |
If mary is both generous and brave then alice is not wise or not kind and vice versa.
If someone is both not rich and quiet then paul is old and vice versa.
Everyone who is both not funny and not humble is both not strong and wise and vice versa.
If someone is both strong and not generous then someone is not patient or... | Susan is not tall. | contradiction | (((generous(mary)&brave(mary)))<=>((~wise(alice)|~kind(alice))))&
((?[X]:((~rich(X)&quiet(X))))<=>(old(paul)))&
(![X]:((~funny(X)&~humble(X))<=>(~strong(X)&wise(X))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((~strong(X)<~>~quiet(X))<=>strong(X)))&
(![X]:((calm(X)|~wise(X))<=>(~wise... | ~tall(susan) | [
"p2",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4681549830047995020167846
% SZS output start Proof for 4681549830047995020167846
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (wise(X0) & ~strong(X0))) [input p2]
6. ! [X0] : ((~wise(X0) | calm(X0)) <=> (strong(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((creative(X0) & wise(X0)) <=> (tall(X... | 0 |
If paul is either not patient or humble then fred is kind or humble and vice versa. If alice is not strong or not curious then lucy is either wise or not rich. If someone is either generous or not generous then lucy is not happy. Everyone who is both funny and wise is strong or not rich and vice versa. Everyone who is ... | Mary is funny. | entailment | (((~patient(paul)<~>humble(paul)))<=>((kind(fred)|humble(fred))))&
(((~strong(alice)|~curious(alice)))=>((wise(lucy)<~>~rich(lucy))))&
((?[X]:((generous(X)<~>~generous(X))))=>(~happy(lucy)))&
(![X]:((funny(X)&wise(X))<=>(strong(X)|~rich(X))))&
(![X]:(brave(X)<=>(creative(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=... | funny(mary) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 899009224082342436390604
% SZS output start Proof for 899009224082342436390604
4. ! [X0] : ((wise(X0) & funny(X0)) <=> (~rich(X0) | strong(X0))) [input p3]
6. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> (creative(X0) | ~strong(X0))) [input p5]
23. ~funny(mary) [input hypothesis]
37. ! [X0] : ... | 0 |
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