premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is creative is both quiet and calm and vice versa.
Everyone who is not kind or brave is not calm and vice versa.
If mary is both not funny and not happy then fred is not quiet or curious.
If someone is not quiet or humble then fred is both tall and funny.
Everyone who is either brave or happy is not tall o... | John is humble. | contradiction | (![X]:(creative(X)<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)|brave(X))<=>~calm(X)))&
(((~funny(mary)&~happy(mary)))=>((~quiet(fred)|curious(fred))))&
((?[X]:((~quiet(X)|humble(X))))=>((tall(fred)&funny(fred))))&
(![X]:((brave(X)<~>happy(X))=>(~tall(X)|kind(X))))&
((?[X]:(humble(X)))=>((strong(susan)&~strong(susan))))&
(... | humble(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7358998072154990198271370
% SZS output start Proof for 7358998072154990198271370
6. ? [X0] : humble(X0) => (~strong(susan) & strong(susan)) [input p5]
23. humble(john) [input hypothesis]
30. (~strong(susan) & strong(susan)) | ! [X0] : ~humble(X0) [ennf transformation 6]
79. strong(susan) ... | 0 |
Everyone who is creative is both strong and tall.
If someone is tall then someone is either quiet or brave.
Everyone who is both calm and not curious is not funny or not happy and vice versa.
Everyone who is either not funny or wise is not quiet or wise and vice versa.
If mary is humble or not kind then susan is tall a... | Paul is not kind. | neutral | (![X]:(creative(X)=>(strong(X)&tall(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)<~>brave(X)))))&
(![X]:((calm(X)&~curious(X))<=>(~funny(X)|~happy(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(~quiet(X)|wise(X))))&
(((humble(mary)|~kind(mary)))<=>(tall(susan)))&
(![X]:((~curious(X)|calm(X))<=>(~rich(X)&brave(X))))&
(![X]:((funny... | ~kind(paul) | [] | null | 0 |
If someone is brave or old then john is either kind or generous and vice versa.
Everyone who is both not brave and kind is both old and not kind.
Everyone who is either not creative or not happy is old.
Everyone who is both not humble and not rich is either generous or creative and vice versa.
Everyone who is either no... | Fred is humble. | entailment | ((?[X]:((brave(X)|old(X))))<=>((kind(john)<~>generous(john))))&
(![X]:((~brave(X)&kind(X))=>(old(X)&~kind(X))))&
(![X]:((~creative(X)<~>~happy(X))=>old(X)))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(~happy(X)... | humble(fred) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1906663000694129590483445
% SZS output start Proof for 1906663000694129590483445
2. ! [X0] : ((kind(X0) & ~brave(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (generous(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & funny(X0)) <=> (~... | 0 |
Everyone who is either funny or not funny is either tall or creative and vice versa.
Everyone who is rich or not old is tall or kind.
Everyone who is not funny is both not old and funny and vice versa.
Everyone who is not wise or wise is strong.
Everyone who is happy or creative is both not funny and not quiet.
Everyon... | Fred is strong. | entailment | (![X]:((funny(X)<~>~funny(X))<=>(tall(X)<~>creative(X))))&
(![X]:((rich(X)|~old(X))=>(tall(X)|kind(X))))&
(![X]:(~funny(X)<=>(~old(X)&funny(X))))&
(![X]:((~wise(X)|wise(X))=>strong(X)))&
(![X]:((happy(X)|creative(X))=>(~funny(X)&~quiet(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~calm(X))))&
(((funny(alice)&~wise(alice)))<... | strong(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 91493448695059465203622
% SZS output start Proof for 91493448695059465203622
4. ! [X0] : ((wise(X0) | ~wise(X0)) => strong(X0)) [input p3]
24. ~strong(fred) [input hypothesis]
32. ! [X0] : (strong(X0) | (~wise(X0) & wise(X0))) [ennf transformation 4]
94. strong(X0) | wise(X0) [cnf transfo... | 0 |
Everyone who is calm or funny is humble and vice versa. Everyone who is both not old and not happy is not patient or not happy. If susan is either strong or not curious then lucy is brave and vice versa. Everyone who is both not patient and not tall is happy or not brave. Everyone who is not quiet is both curious and n... | Lucy is patient. | neutral | (![X]:((calm(X)|funny(X))<=>humble(X)))&
(![X]:((~old(X)&~happy(X))=>(~patient(X)|~happy(X))))&
(((strong(susan)<~>~curious(susan)))<=>(brave(lucy)))&
(![X]:((~patient(X)&~tall(X))=>(happy(X)|~brave(X))))&
(![X]:(~quiet(X)=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~strong(lucy))))&
(((~q... | patient(lucy) | [] | null | 0 |
If someone is not humble then lucy is either creative or wise.
Everyone who is not funny is either not tall or quiet.
If someone is both strong and not kind then alice is not rich and vice versa.
Everyone who is either generous or old is brave or not generous and vice versa.
Everyone who is kind is both creative and no... | Alice is not strong. | entailment | ((?[X]:(~humble(X)))=>((creative(lucy)<~>wise(lucy))))&
(![X]:(~funny(X)=>(~tall(X)<~>quiet(X))))&
((?[X]:((strong(X)&~kind(X))))<=>(~rich(alice)))&
(![X]:((generous(X)<~>old(X))<=>(brave(X)|~generous(X))))&
(![X]:(kind(X)=>(creative(X)&~tall(X))))&
((?[X]:((rich(X)&~old(X))))=>(?[X]:(~kind(X))))&
((?[X]:((old(X)<~>~ri... | ~strong(alice) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1428808297142309061570567
% SZS output start Proof for 1428808297142309061570567
3. ? [X0] : (~kind(X0) & strong(X0)) <=> ~rich(alice) [input p2]
5. ! [X0] : (kind(X0) => (~tall(X0) & creative(X0))) [input p4]
13. ! [X0] : ((~rich(X0) & tall(X0)) <=> creative(X0)) [input p12]
14. ! [X0] :... | 0 |
Everyone who is patient is both wise and not humble and vice versa.
Everyone who is patient or not kind is not creative and vice versa.
Everyone who is either not funny or not quiet is not patient or not tall.
If someone is both not calm and creative then someone is not rich and vice versa.
Everyone who is happy or not... | Susan is not patient. | entailment | (![X]:(patient(X)<=>(wise(X)&~humble(X))))&
(![X]:((patient(X)|~kind(X))<=>~creative(X)))&
(![X]:((~funny(X)<~>~quiet(X))=>(~patient(X)|~tall(X))))&
((?[X]:((~calm(X)&creative(X))))<=>(?[X]:(~rich(X))))&
(![X]:((happy(X)|~funny(X))<=>tall(X)))&
(![X]:((curious(X)|funny(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:(rich(X)))<=>... | ~patient(susan) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 535507554180751987779917
% SZS output start Proof for 535507554180751987779917
1. ! [X0] : (patient(X0) <=> (~humble(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~funny(X0) <~> ~quiet(X0)) => (~tall(X0) | ~patient(X0))) [input p2]
5. ! [X0] : ((~funny(X0) | happy(X0)) <=> tall(X0)) [input p4... | 0 |
Everyone who is not creative or not kind is both not kind and not curious and vice versa.
If someone is wise or not creative then fred is either generous or humble and vice versa.
Everyone who is brave is both not happy and not old and vice versa.
Everyone who is not tall or quiet is not quiet or humble.
If someone is ... | Lucy is creative. | entailment | (![X]:((~creative(X)|~kind(X))<=>(~kind(X)&~curious(X))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall(X)|quiet(X))=>(~quiet(X)|humble(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(kind(X)|~quiet(X))))&
(![X]:((~g... | creative(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4289235680422475993952114
% SZS output start Proof for 4289235680422475993952114
7. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (creative(X0) & ~strong(X0))) [input p6]
25. ~creative(lucy) [input hypothesis]
58. ! [X0] : (((generous(X0) | ~generous(X0)) | (~creative(X0) | strong(X0))) & ... | 0 |
If john is not brave or not happy then someone is old or not generous.
If someone is not funny then susan is either quiet or happy.
Everyone who is kind is not funny.
Everyone who is either not rich or funny is not old and vice versa.
If someone is brave or creative then someone is either not curious or generous.
If so... | Fred is funny. | neutral | (((~brave(john)|~happy(john)))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:(~funny(X)))=>((quiet(susan)<~>happy(susan))))&
(![X]:(kind(X)=>~funny(X)))&
(![X]:((~rich(X)<~>funny(X))<=>~old(X)))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~curious(X)<~>generous(X)))))&
((?[X]:(~rich(X)))<=>(~curious(fred)))&
(![X]:(~brave(X)... | funny(fred) | [] | null | 0 |
Everyone who is both curious and funny is not rich or rich.
Everyone who is tall is either not funny or not old and vice versa.
If fred is kind then someone is generous or not tall and vice versa.
Everyone who is not rich or kind is both not funny and quiet and vice versa.
If someone is not calm or not rich then john i... | John is not quiet. | contradiction | (![X]:((curious(X)&funny(X))=>(~rich(X)|rich(X))))&
(![X]:(tall(X)<=>(~funny(X)<~>~old(X))))&
((kind(fred))<=>(?[X]:((generous(X)|~tall(X)))))&
(![X]:((~rich(X)|kind(X))<=>(~funny(X)&quiet(X))))&
((?[X]:((~calm(X)|~rich(X))))=>((humble(john)&~quiet(john))))&
(((happy(alice)&~funny(alice)))<=>(~old(susan)))&
((?[X]:((~w... | ~quiet(john) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 274764185732243802577442
% SZS output start Proof for 274764185732243802577442
4. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (quiet(X0) & ~funny(X0))) [input p3]
11. ! [X0] : ((kind(X0) & brave(X0)) <=> (~quiet(X0) | rich(X0))) [input p10]
24. ~quiet(john) [input hypothesis]
43. ! [X0] : (((kin... | 0 |
Everyone who is either kind or not tall is not calm and vice versa.
Everyone who is not curious is both not happy and generous and vice versa.
Everyone who is not wise or not strong is either old or not curious and vice versa.
Everyone who is either happy or not generous is either not happy or not funny and vice versa.... | Paul is old. | neutral | (![X]:((kind(X)<~>~tall(X))<=>~calm(X)))&
(![X]:(~curious(X)<=>(~happy(X)&generous(X))))&
(![X]:((~wise(X)|~strong(X))<=>(old(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~happy(X)<~>~funny(X))))&
(((creative(alice)|curious(alice)))=>((~old(paul)|funny(paul))))&
(![X]:((~rich(X)<~>generous(X))=>(happy(X)|~o... | old(paul) | [] | null | 0 |
If susan is both not old and creative then someone is both not old and creative.
Everyone who is either not kind or not quiet is either wise or not kind.
Everyone who is not wise is not quiet or not calm and vice versa.
If someone is not tall or funny then someone is either not creative or funny and vice versa.
If some... | Paul is kind. | contradiction | (((~old(susan)&creative(susan)))=>(?[X]:((~old(X)&creative(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>(wise(X)<~>~kind(X))))&
(![X]:(~wise(X)<=>(~quiet(X)|~calm(X))))&
((?[X]:((~tall(X)|funny(X))))<=>(?[X]:((~creative(X)<~>funny(X)))))&
((?[X]:((~strong(X)&~funny(X))))=>(?[X]:(patient(X))))&
(((funny(alice)&~quiet(alice)))... | kind(paul) | [
"p1",
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 428407785293309953658524
% SZS output start Proof for 428407785293309953658524
2. ! [X0] : ((~kind(X0) <~> ~quiet(X0)) => (wise(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~calm(X0) | ~quiet(X0))) [input p2]
18. ~quiet(paul) [input p17]
24. kind(paul) [input hypothesis]
32.... | 0 |
If paul is old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either not funny or funny and vice versa. If susan is wise then someone is not rich or creative and vice versa. Everyone who is curious or calm is both wise and old and vice versa. Everyone who is either no... | Mary is not brave. | contradiction | ((old(paul))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:((curious(X)|calm(X))<=>(wise(X)&old(X))))&
(![X]:((~old(X)<~>old(X))<=>(strong(X)<~>generous(X))))&
(((~curious(mary)<~>brave(mary)))=>(~old(pau... | ~brave(mary) | [
"p2",
"p4",
"p6",
"p9",
"p12",
"p13",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7139495430037552342927165
% SZS output start Proof for 7139495430037552342927165
3. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p2]
5. ! [X0] : ((calm(X0) | curious(X0)) <=> (old(X0) & wise(X0))) [input p4]
7. (~curious(mary) <~> brave(mary)) => ~old(paul) [input p6]
10. ! ... | 0 |
If someone is calm then paul is either wise or not humble and vice versa. If alice is not calm or not rich then someone is either not tall or not creative. If susan is not wise then someone is curious or old. Everyone who is not generous or happy is both rich and not humble and vice versa. Everyone who is creative or c... | Paul is not rich. | neutral | ((?[X]:(calm(X)))<=>((wise(paul)<~>~humble(paul))))&
(((~calm(alice)|~rich(alice)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
((~wise(susan))=>(?[X]:((curious(X)|old(X)))))&
(![X]:((~generous(X)|happy(X))<=>(rich(X)&~humble(X))))&
(![X]:((creative(X)|curious(X))<=>(~curious(X)&quiet(X))))&
(![X]:((~calm(X)<~>generous(X))<=... | ~rich(paul) | [] | null | 0 |
Everyone who is generous is either happy or not happy. If john is both not strong and patient then john is not creative. Everyone who is both generous and not humble is both calm and not strong. Everyone who is not tall is both not quiet and curious. If john is either wise or tall then someone is not calm or old and vi... | Lucy is generous. | contradiction | (![X]:(generous(X)=>(happy(X)<~>~happy(X))))&
(((~strong(john)&patient(john)))=>(~creative(john)))&
(![X]:((generous(X)&~humble(X))=>(calm(X)&~strong(X))))&
(![X]:(~tall(X)=>(~quiet(X)&curious(X))))&
(((wise(john)<~>tall(john)))<=>(?[X]:((~calm(X)|old(X)))))&
((?[X]:((patient(X)&kind(X))))=>((~quiet(susan)&~curious(sus... | generous(lucy) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3887699481733739245762520
% SZS output start Proof for 3887699481733739245762520
15. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (~patient(X0) | ~wise(X0))) [input p14]
22. ~wise(lucy) & quiet(lucy) [input p21]
25. generous(lucy) [input hypothesis]
70. ! [X0] : (((wise(X0) | ~generous(X0)) |... | 0 |
Everyone who is both brave and humble is calm or not tall.
Everyone who is either not patient or not quiet is not tall or patient and vice versa.
Everyone who is either not curious or strong is either old or happy and vice versa.
Everyone who is either happy or patient is happy or not creative.
If someone is both not c... | Paul is calm. | neutral | (![X]:((brave(X)&humble(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~tall(X)|patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(old(X)<~>happy(X))))&
(![X]:((happy(X)<~>patient(X))=>(happy(X)|~creative(X))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~patient(mary)|~funny(mary))))&
(((old(john)|~brave(joh... | calm(paul) | [] | null | 0 |
Everyone who is not calm is not quiet or not calm.
If paul is kind or not curious then john is not funny.
Everyone who is kind is strong.
If lucy is patient or curious then someone is both not quiet and not generous and vice versa.
If someone is either not rich or not generous then someone is either not old or kind.
If... | Paul is calm. | entailment | (![X]:(~calm(X)=>(~quiet(X)|~calm(X))))&
(((kind(paul)|~curious(paul)))=>(~funny(john)))&
(![X]:(kind(X)=>strong(X)))&
(((patient(lucy)|curious(lucy)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
((?[X]:((~rich(X)<~>~generous(X))))=>(?[X]:((~old(X)<~>kind(X)))))&
(((strong(fred)|~generous(fred)))=>((strong(alice)<~>creative(... | calm(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 710644955982100421628693
% SZS output start Proof for 710644955982100421628693
21. calm(paul) & ~happy(paul) [input p20]
25. ~calm(paul) [input hypothesis]
130. calm(paul) [cnf transformation 21]
136. ~calm(paul) [cnf transformation 25]
330. $false [subsumption resolution 136,130]
% SZS o... | 0 |
If mary is not brave 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 or not ta... | Alice is not rich. | contradiction | ((~brave(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]:(happy(X)<=>(~stro... | ~rich(alice) | [
"p3",
"p4",
"p5",
"p7",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2185473921762750181509657
% SZS output start Proof for 2185473921762750181509657
4. (funny(john) & ~quiet(john)) <=> ? [X0] : (~kind(X0) <~> ~tall(X0)) [input p3]
5. (~old(lucy) & ~humble(lucy)) <=> ? [X0] : wise(X0) [input p4]
6. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [inp... | 0 |
If someone is not calm or brave then lucy is not funny.
Everyone who is either not strong or tall is either not happy or not quiet.
Everyone who is rich or generous is not patient and vice versa.
Everyone who is either not patient or not tall is not kind and vice versa.
Everyone who is rich is both not patient and not ... | Susan is not rich. | neutral | ((?[X]:((~calm(X)|brave(X))))=>(~funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((rich(X)|generous(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~tall(X))<=>~kind(X)))&
(![X]:(rich(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((rich(X)|~patient(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
((?[X]:((hap... | ~rich(susan) | [] | null | 0 |
If mary is either humble or not rich then paul is not happy and vice versa.
If someone is funny then alice is not quiet.
If someone is not creative then someone is both kind and not happy.
Everyone who is humble is curious or not humble and vice versa.
If paul is happy or not curious then lucy is both humble and not qu... | John is curious. | entailment | (((humble(mary)<~>~rich(mary)))<=>(~happy(paul)))&
((?[X]:(funny(X)))=>(~quiet(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((kind(X)&~happy(X)))))&
(![X]:(humble(X)<=>(curious(X)|~humble(X))))&
(((happy(paul)|~curious(paul)))<=>((humble(lucy)&~quiet(lucy))))&
(![X]:(brave(X)<=>(rich(X)|calm(X))))&
(((generous(fred)|~brave(... | curious(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 554746496174212198977331
% SZS output start Proof for 554746496174212198977331
4. ! [X0] : (humble(X0) <=> (~humble(X0) | curious(X0))) [input p3]
25. ~curious(john) [input hypothesis]
42. ! [X0] : ((humble(X0) | (humble(X0) & ~curious(X0))) & ((~humble(X0) | curious(X0)) | ~humble(X0))) ... | 0 |
Everyone who is creative is not wise.
If someone is either not creative or tall then someone is old.
Everyone who is patient or not generous is both strong and generous and vice versa.
Everyone who is not tall or humble is either creative or quiet and vice versa.
Everyone who is not calm is both old and generous and vi... | Fred is not generous. | contradiction | (![X]:(creative(X)=>~wise(X)))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:(old(X))))&
(![X]:((patient(X)|~generous(X))<=>(strong(X)&generous(X))))&
(![X]:((~tall(X)|humble(X))<=>(creative(X)<~>quiet(X))))&
(![X]:(~calm(X)<=>(old(X)&generous(X))))&
(![X]:((strong(X)|calm(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)|~c... | ~generous(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8536277082094346349475955
% SZS output start Proof for 8536277082094346349475955
3. ! [X0] : ((~generous(X0) | patient(X0)) <=> (generous(X0) & strong(X0))) [input p2]
21. ~generous(fred) [input hypothesis]
37. ! [X0] : (((~generous(X0) | patient(X0)) | (~generous(X0) | ~strong(X0))) & ((... | 0 |
If mary is rich then someone is both humble and not funny.
Everyone who is both old and not creative is either calm or not funny.
Everyone who is both generous and not happy is either not strong or not kind and vice versa.
Everyone who is both not kind and tall is both tall and generous and vice versa.
If susan is not ... | Lucy is not strong. | neutral | ((rich(mary))=>(?[X]:((humble(X)&~funny(X)))))&
(![X]:((old(X)&~creative(X))=>(calm(X)<~>~funny(X))))&
(![X]:((generous(X)&~happy(X))<=>(~strong(X)<~>~kind(X))))&
(![X]:((~kind(X)&tall(X))<=>(tall(X)&generous(X))))&
(((~patient(susan)|~brave(susan)))=>(?[X]:(patient(X))))&
(![X]:((~humble(X)|~rich(X))<=>~generous(X)))&... | ~strong(lucy) | [] | null | 0 |
Everyone who is not wise is both not wise and not humble and vice versa.
Everyone who is either not rich or not quiet is either wise or brave.
Everyone who is either not calm or not strong is curious or old and vice versa.
Everyone who is humble is either funny or humble and vice versa.
If alice is either brave or not ... | Mary is rich. | neutral | (![X]:(~wise(X)<=>(~wise(X)&~humble(X))))&
(![X]:((~rich(X)<~>~quiet(X))=>(wise(X)<~>brave(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(curious(X)|old(X))))&
(![X]:(humble(X)<=>(funny(X)<~>humble(X))))&
(((brave(alice)<~>~generous(alice)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~wise(X))<=>(patient(X)<~>~old(X))))&
(![X]:(... | rich(mary) | [] | null | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Lucy is not curious. | neutral | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~curious(lucy) | [] | null | 0 |
Everyone who is brave is either curious or not humble and vice versa.
Everyone who is both not brave and creative is not kind.
If someone is patient then someone is not brave.
If someone is both strong and wise then fred is kind or not wise and vice versa.
If lucy is both not wise and tall then someone is both not tall... | Paul is not calm. | entailment | (![X]:(brave(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((~brave(X)&creative(X))=>~kind(X)))&
((?[X]:(patient(X)))=>(?[X]:(~brave(X))))&
((?[X]:((strong(X)&wise(X))))<=>((kind(fred)|~wise(fred))))&
(((~wise(lucy)&tall(lucy)))=>(?[X]:((~tall(X)&~old(X)))))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:((~rich(X)&happy(X))))... | ~calm(paul) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 431879216908036532485650
% SZS output start Proof for 431879216908036532485650
1. ! [X0] : (brave(X0) <=> (curious(X0) <~> ~humble(X0))) [input p0]
2. ! [X0] : ((creative(X0) & ~brave(X0)) => ~kind(X0)) [input p1]
6. ? [X0] : (humble(X0) <~> ~curious(X0)) <=> ? [X0] : (happy(X0) & ~rich(X... | 0 |
If john is both not brave and patient then someone is generous or not kind. If john is both not generous and not humble then alice is not curious and vice versa. Everyone who is both not generous and strong is not funny or funny. Everyone who is happy is funny. Everyone who is not patient is either tall or happy and vi... | Alice is not tall. | entailment | (((~brave(john)&patient(john)))=>(?[X]:((generous(X)|~kind(X)))))&
(((~generous(john)&~humble(john)))<=>(~curious(alice)))&
(![X]:((~generous(X)&strong(X))=>(~funny(X)|funny(X))))&
(![X]:(happy(X)=>funny(X)))&
(![X]:(~patient(X)<=>(tall(X)<~>happy(X))))&
(![X]:(patient(X)<=>(~kind(X)|curious(X))))&
(((kind(alice)&~wise... | ~tall(alice) | [
"p1",
"p7",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 332340603246698754648037
% SZS output start Proof for 332340603246698754648037
2. (~humble(john) & ~generous(john)) <=> ~curious(alice) [input p1]
8. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (funny(X0) | rich(X0))) [input p7]
13. ! [X0] : ((~tall(X0) <~> curious(X0)) <=> (~generous(X0) &... | 0 |
Everyone who is both curious and not quiet is not happy.
Everyone who is either wise or humble is both not rich and tall and vice versa.
Everyone who is either humble or not strong is both not tall and happy.
If someone is not tall then paul is not brave.
Everyone who is not rich is either not tall or strong and vice v... | John is generous. | neutral | (![X]:((curious(X)&~quiet(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)<~>~strong(X))=>(~tall(X)&happy(X))))&
((?[X]:(~tall(X)))=>(~brave(paul)))&
(![X]:(~rich(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)<~>~old(X))))=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(tall(X)=>(~tal... | generous(john) | [] | null | 0 |
Everyone who is not creative or not humble is not curious and vice versa.
If someone is both not old and not funny then someone is either not funny or wise and vice versa.
Everyone who is either not patient or not strong is happy or funny.
Everyone who is both not kind and tall is both happy and tall and vice versa.
If... | John is rich. | neutral | (![X]:((~creative(X)|~humble(X))<=>~curious(X)))&
((?[X]:((~old(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>wise(X)))))&
(![X]:((~patient(X)<~>~strong(X))=>(happy(X)|funny(X))))&
(![X]:((~kind(X)&tall(X))<=>(happy(X)&tall(X))))&
((?[X]:((~happy(X)&happy(X))))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)|old(X))<=>(~happy(X)|~br... | rich(john) | [] | null | 0 |
Everyone who is both generous and not calm is both tall and calm and vice versa. Everyone who is either kind or wise is both funny and quiet. Everyone who is not humble is both old and brave and vice versa. If someone is not strong then someone is not funny or wise and vice versa. Everyone who is not kind or old is eit... | John is not creative. | neutral | (![X]:((generous(X)&~calm(X))<=>(tall(X)&calm(X))))&
(![X]:((kind(X)<~>wise(X))=>(funny(X)&quiet(X))))&
(![X]:(~humble(X)<=>(old(X)&brave(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:((~kind(X)|old(X))<=>(wise(X)<~>brave(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:((~b... | ~creative(john) | [] | null | 0 |
If someone is rich then lucy is not generous or brave. Everyone who is either wise or creative is both not quiet and quiet and vice versa. Everyone who is old is not happy or not curious and vice versa. Everyone who is both calm and not quiet is not old and vice versa. Everyone who is not generous is wise and vice vers... | Paul is kind. | entailment | ((?[X]:(rich(X)))=>((~generous(lucy)|brave(lucy))))&
(![X]:((wise(X)<~>creative(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(old(X)<=>(~happy(X)|~curious(X))))&
(![X]:((calm(X)&~quiet(X))<=>~old(X)))&
(![X]:(~generous(X)<=>wise(X)))&
((~funny(john))<=>((funny(mary)<~>~rich(mary))))&
(![X]:((~rich(X)&~generous(X))=>(~patient(X)... | kind(paul) | [
"p1",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4447576137957775880704399
% SZS output start Proof for 4447576137957775880704399
2. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p1]
5. ! [X0] : (~generous(X0) <=> wise(X0)) [input p4]
10. ! [X0] : ((~brave(X0) | creative(X0)) <=> ~creative(X0)) [input p9]
14... | 0 |
If someone is both funny and not kind then someone is either old or strong and vice versa. Everyone who is both curious and not wise is not happy or calm and vice versa. If john is either happy or not strong then paul is both not curious and creative. Everyone who is not rich or tall is either tall or not old and vice ... | Susan is not happy. | contradiction | ((?[X]:((funny(X)&~kind(X))))<=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((curious(X)&~wise(X))<=>(~happy(X)|calm(X))))&
(((happy(john)<~>~strong(john)))=>((~curious(paul)&creative(paul))))&
(![X]:((~rich(X)|tall(X))<=>(tall(X)<~>~old(X))))&
(![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))... | ~happy(susan) | [
"p4",
"p5",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 923322357292364438667228
% SZS output start Proof for 923322357292364438667228
5. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> funny(X0)) [input p4]
6. ! [X0] : (happy(X0) <=> (tall(X0) | ~strong(X0))) [input p5]
9. ! [X0] : (old(X0) => ~humble(X0)) [input p8]
11. ! [X0] : ((brave(X0) | ~old(X0)... | 0 |
If someone is both old and quiet then someone is both tall and not rich and vice versa.
If john is kind or quiet then john is brave or strong and vice versa.
If lucy is both humble and brave then john is tall and vice versa.
If mary is both not curious and not wise then fred is either not brave or not humble.
Everyone ... | Alice is not tall. | contradiction | ((?[X]:((old(X)&quiet(X))))<=>(?[X]:((tall(X)&~rich(X)))))&
(((kind(john)|quiet(john)))<=>((brave(john)|strong(john))))&
(((humble(lucy)&brave(lucy)))<=>(tall(john)))&
(((~curious(mary)&~wise(mary)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((brave(X)<~>~tall(X))=>(~patient(X)&~calm(X))))&
((?[X]:((creative(X)<~>brave... | ~tall(alice) | [
"p4",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1311644583768756572967276
% SZS output start Proof for 1311644583768756572967276
5. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~calm(X0) & ~patient(X0))) [input p4]
9. ! [X0] : (tall(X0) <=> brave(X0)) [input p8]
16. ! [X0] : ((~strong(X0) | ~brave(X0)) => patient(X0)) [input p15]
23. ~tall(... | 0 |
Everyone who is old is curious and vice versa.
If lucy is not quiet then someone is curious or quiet and vice versa.
Everyone who is either curious or patient is both not happy and creative and vice versa.
If someone is either calm or funny then someone is quiet or not humble and vice versa.
If lucy is calm then paul i... | Paul is not funny. | contradiction | (![X]:(old(X)<=>curious(X)))&
((~quiet(lucy))<=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((curious(X)<~>patient(X))<=>(~happy(X)&creative(X))))&
((?[X]:((calm(X)<~>funny(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
((calm(lucy))=>(wise(paul)))&
(![X]:((~humble(X)|~rich(X))=>(~funny(X)|funny(X))))&
((quiet(paul))=>(?[X]:((tal... | ~funny(paul) | [
"p0",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5598681691541987992120457
% SZS output start Proof for 5598681691541987992120457
1. ! [X0] : (old(X0) <=> curious(X0)) [input p0]
9. ! [X0] : ((curious(X0) & ~humble(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p8]
14. ! [X0] : ((old(X0) | ~tall(X0)) => (funny(X0) & creative(X0))) [i... | 0 |
If paul is not brave or not rich then lucy is not happy or not tall and vice versa.
If someone is both calm and humble then someone is both not generous and not happy.
Everyone who is kind is curious and vice versa.
Everyone who is patient is either not patient or not strong.
Everyone who is either not old or old is ei... | Fred is tall. | neutral | (((~brave(paul)|~rich(paul)))<=>((~happy(lucy)|~tall(lucy))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((~generous(X)&~happy(X)))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:(patient(X)=>(~patient(X)<~>~strong(X))))&
(![X]:((~old(X)<~>old(X))<=>(tall(X)<~>~tall(X))))&
((~curious(john))<=>(?[X]:(old(X))))&
(![X]:((patient(X)<~... | tall(fred) | [] | null | 0 |
If someone is not strong then someone is not quiet and vice versa.
If susan is both not old and rich then mary is either not wise or not generous.
Everyone who is either not creative or wise is creative and vice versa.
If someone is not funny or patient then lucy is old or tall.
Everyone who is both quiet and rich is h... | Lucy is generous. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(~quiet(X))))&
(((~old(susan)&rich(susan)))=>((~wise(mary)<~>~generous(mary))))&
(![X]:((~creative(X)<~>wise(X))<=>creative(X)))&
((?[X]:((~funny(X)|patient(X))))=>((old(lucy)|tall(lucy))))&
(![X]:((quiet(X)&rich(X))=>(humble(X)|rich(X))))&
((?[X]:((happy(X)|~wise(X))))=>((wise(john)&~creat... | generous(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7055496908905728902317607
% SZS output start Proof for 7055496908905728902317607
8. ! [X0] : ((generous(X0) | ~calm(X0)) => ~generous(X0)) [input p7]
25. generous(lucy) [input hypothesis]
37. ! [X0] : (~generous(X0) | (~generous(X0) & calm(X0))) [ennf transformation 8]
97. ~generous(X0) |... | 0 |
Everyone who is not kind is either calm or not curious.
If susan is not strong then someone is either not generous or old and vice versa.
If lucy is either not strong or not curious then someone is funny and vice versa.
Everyone who is not rich is kind and vice versa.
If paul is both not calm and happy then mary is eit... | Susan is not generous. | neutral | (![X]:(~kind(X)=>(calm(X)<~>~curious(X))))&
((~strong(susan))<=>(?[X]:((~generous(X)<~>old(X)))))&
(((~strong(lucy)<~>~curious(lucy)))<=>(?[X]:(funny(X))))&
(![X]:(~rich(X)<=>kind(X)))&
(((~calm(paul)&happy(paul)))<=>((~calm(mary)<~>humble(mary))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~brave(X))))&
(((brave(fre... | ~generous(susan) | [] | null | 0 |
Everyone who is either not old or old is either wise or tall and vice versa. If someone is curious then lucy is either old or happy. If someone is either generous or not kind then susan is either creative or wise. If someone is not happy or not wise then fred is both not old and not creative. If someone is either quiet... | Lucy is tall. | entailment | (![X]:((~old(X)<~>old(X))<=>(wise(X)<~>tall(X))))&
((?[X]:(curious(X)))=>((old(lucy)<~>happy(lucy))))&
((?[X]:((generous(X)<~>~kind(X))))=>((creative(susan)<~>wise(susan))))&
((?[X]:((~happy(X)|~wise(X))))=>((~old(fred)&~creative(fred))))&
((?[X]:((quiet(X)<~>patient(X))))<=>(kind(fred)))&
((?[X]:((happy(X)&~happy(X)))... | tall(lucy) | [
"p0",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2040364998483842650843992
% SZS output start Proof for 2040364998483842650843992
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> (wise(X0) <~> tall(X0))) [input p0]
7. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (~calm(X0) <~> happy(X0))) [input p6]
8. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> wise(X0)... | 0 |
If john is both not wise and not generous then someone is kind or brave.
If mary is both not rich and kind then john is either not happy or kind.
Everyone who is not old or old is either patient or happy.
Everyone who is not humble or not strong is quiet or old and vice versa.
If someone is funny or quiet then susan is... | John is not patient. | entailment | (((~wise(john)&~generous(john)))=>(?[X]:((kind(X)|brave(X)))))&
(((~rich(mary)&kind(mary)))=>((~happy(john)<~>kind(john))))&
(![X]:((~old(X)|old(X))=>(patient(X)<~>happy(X))))&
(![X]:((~humble(X)|~strong(X))<=>(quiet(X)|old(X))))&
((?[X]:((funny(X)|quiet(X))))=>(~brave(susan)))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:... | ~patient(john) | [
"p2",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1360128246173126948206735
% SZS output start Proof for 1360128246173126948206735
3. ! [X0] : ((old(X0) | ~old(X0)) => (patient(X0) <~> happy(X0))) [input p2]
20. strong(john) | happy(john) [input p19]
23. ~strong(john) [input p22]
25. patient(john) [input hypothesis]
32. ! [X0] : ((patien... | 0 |
Everyone who is patient is both calm and creative and vice versa.
Everyone who is either brave or wise is both generous and not old and vice versa.
Everyone who is kind or not creative is not wise.
If someone is both curious and brave then alice is either not patient or not quiet and vice versa.
If someone is kind then... | Susan is tall. | neutral | (![X]:(patient(X)<=>(calm(X)&creative(X))))&
(![X]:((brave(X)<~>wise(X))<=>(generous(X)&~old(X))))&
(![X]:((kind(X)|~creative(X))=>~wise(X)))&
((?[X]:((curious(X)&brave(X))))<=>((~patient(alice)<~>~quiet(alice))))&
((?[X]:(kind(X)))=>(?[X]:((~strong(X)&kind(X)))))&
(((funny(paul)&generous(paul)))<=>(?[X]:((brave(X)&~ki... | tall(susan) | [] | null | 0 |
If someone is not old or not wise then lucy is both brave and quiet and vice versa.
If john is both quiet and brave then someone is either not old or happy.
Everyone who is both not creative and kind is not quiet or not humble.
Everyone who is both kind and not wise is either not kind or tall.
Everyone who is either no... | Fred is patient. | entailment | ((?[X]:((~old(X)|~wise(X))))<=>((brave(lucy)&quiet(lucy))))&
(((quiet(john)&brave(john)))=>(?[X]:((~old(X)<~>happy(X)))))&
(![X]:((~creative(X)&kind(X))=>(~quiet(X)|~humble(X))))&
(![X]:((kind(X)&~wise(X))=>(~kind(X)<~>tall(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((~tall(X)&brave(X))))<... | patient(fred) | [
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1763780724035806763563526
% SZS output start Proof for 1763780724035806763563526
5. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p4]
11. ! [X0] : ((~patient(X0) & ~generous(X0)) => ~quiet(X0)) [input p10]
16. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> generous(... | 0 |
Everyone who is either generous or not wise is curious or not funny and vice versa.
If fred is both wise and not creative then someone is both not strong and generous and vice versa.
Everyone who is not quiet or kind is not wise and vice versa.
If john is either creative or happy then someone is quiet and vice versa.
E... | John is old. | contradiction | (![X]:((generous(X)<~>~wise(X))<=>(curious(X)|~funny(X))))&
(((wise(fred)&~creative(fred)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((~quiet(X)|kind(X))<=>~wise(X)))&
(((creative(john)<~>happy(john)))<=>(?[X]:(quiet(X))))&
(![X]:(~patient(X)=>humble(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(strong(X))))&
((?[X]:(~calm(X... | old(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7064967409588258586185350
% SZS output start Proof for 7064967409588258586185350
21. ~old(john) [input p20]
25. old(john) [input hypothesis]
141. ~old(john) [cnf transformation 21]
146. old(john) [cnf transformation 25]
324. 39 <=> old(john) [avatar definition]
350. ~39 [avatar split clau... | 0 |
Everyone who is not happy is both not humble and humble. If john is not creative then someone is not old or patient and vice versa. Everyone who is either not patient or tall is either creative or old. Everyone who is not funny is either wise or patient and vice versa. If someone is not old then paul is not happy or no... | Fred is not happy. | contradiction | (![X]:(~happy(X)=>(~humble(X)&humble(X))))&
((~creative(john))<=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((~patient(X)<~>tall(X))=>(creative(X)<~>old(X))))&
(![X]:(~funny(X)<=>(wise(X)<~>patient(X))))&
((?[X]:(~old(X)))<=>((~happy(paul)|~patient(paul))))&
(![X]:((~strong(X)&~tall(X))=>humble(X)))&
((~quiet(susan))<=>(?[X... | ~happy(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7886927030480539142377000
% SZS output start Proof for 7886927030480539142377000
1. ! [X0] : (~happy(X0) => (humble(X0) & ~humble(X0))) [input p0]
25. ~happy(fred) [input hypothesis]
28. ! [X0] : ((humble(X0) & ~humble(X0)) | happy(X0)) [ennf transformation 1]
84. ~humble(X0) | happy(X0) ... | 0 |
If fred is either tall or not patient then lucy is either not strong or not creative.
If susan is both not tall and not rich then someone is both curious and generous.
Everyone who is not funny is strong or not wise and vice versa.
Everyone who is old is both patient and not curious and vice versa.
If someone is happy ... | Lucy is quiet. | contradiction | (((tall(fred)<~>~patient(fred)))=>((~strong(lucy)<~>~creative(lucy))))&
(((~tall(susan)&~rich(susan)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(strong(X)|~wise(X))))&
(![X]:(old(X)<=>(patient(X)&~curious(X))))&
((?[X]:((happy(X)|wise(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((calm(X)<~>tall(X))=>(... | quiet(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4980707125713536551831510
% SZS output start Proof for 4980707125713536551831510
15. ! [X0] : ((quiet(X0) | strong(X0)) => ~quiet(X0)) [input p14]
21. quiet(lucy) [input hypothesis]
39. ! [X0] : (~quiet(X0) | (~quiet(X0) & ~strong(X0))) [ennf transformation 15]
125. ~quiet(X0) | ~quiet(X0... | 0 |
Everyone who is both humble and funny is old.
Everyone who is either quiet or rich is happy and vice versa.
Everyone who is not happy or not wise is not strong or not quiet and vice versa.
Everyone who is both patient and creative is patient or happy and vice versa.
Everyone who is either wise or not wise is old.
Every... | Alice is not brave. | contradiction | (![X]:((humble(X)&funny(X))=>old(X)))&
(![X]:((quiet(X)<~>rich(X))<=>happy(X)))&
(![X]:((~happy(X)|~wise(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((patient(X)&creative(X))<=>(patient(X)|happy(X))))&
(![X]:((wise(X)<~>~wise(X))=>old(X)))&
(![X]:((~patient(X)&happy(X))<=>(~brave(X)|~old(X))))&
((?[X]:(brave(X)))=>(?[X]:(hap... | ~brave(alice) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9018136343699668790274324
% SZS output start Proof for 9018136343699668790274324
4. ! [X0] : ((creative(X0) & patient(X0)) <=> (happy(X0) | patient(X0))) [input p3]
6. ! [X0] : ((happy(X0) & ~patient(X0)) <=> (~old(X0) | ~brave(X0))) [input p5]
23. ~brave(alice) [input hypothesis]
42. ! [... | 0 |
If susan is either not quiet or funny then someone is both funny and not brave.
Everyone who is both not quiet and rich is both wise and not quiet.
Everyone who is both creative and not curious is both brave and curious and vice versa.
If someone is creative then lucy is both not quiet and not creative.
Everyone who is... | Alice is creative. | contradiction | (((~quiet(susan)<~>funny(susan)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~quiet(X)&rich(X))=>(wise(X)&~quiet(X))))&
(![X]:((creative(X)&~curious(X))<=>(brave(X)&curious(X))))&
((?[X]:(creative(X)))=>((~quiet(lucy)&~creative(lucy))))&
(![X]:(curious(X)<=>~patient(X)))&
((?[X]:((wise(X)&generous(X))))<=>(?[X]:((strong(... | creative(alice) | [
"p2",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 639853385761695573388360
% SZS output start Proof for 639853385761695573388360
3. ! [X0] : ((~curious(X0) & creative(X0)) <=> (curious(X0) & brave(X0))) [input p2]
5. ! [X0] : (curious(X0) <=> ~patient(X0)) [input p4]
9. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~old(X0))) [input p8]
11... | 0 |
Everyone who is patient or not humble is both not old and not quiet and vice versa. If someone is both strong and rich then someone is not quiet or old and vice versa. If paul is strong then lucy is either quiet or not wise. Everyone who is calm is happy and vice versa. Everyone who is kind is not creative or not old a... | Susan is patient. | contradiction | (![X]:((patient(X)|~humble(X))<=>(~old(X)&~quiet(X))))&
((?[X]:((strong(X)&rich(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
((strong(paul))=>((quiet(lucy)<~>~wise(lucy))))&
(![X]:(calm(X)<=>happy(X)))&
(![X]:(kind(X)<=>(~creative(X)|~old(X))))&
((?[X]:((~rich(X)<~>wise(X))))=>((~strong(alice)<~>~funny(alice))))&
(((kind(lucy... | patient(susan) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5065852393332372945359425
% SZS output start Proof for 5065852393332372945359425
1. ! [X0] : ((~humble(X0) | patient(X0)) <=> (~quiet(X0) & ~old(X0))) [input p0]
9. ! [X0] : ((patient(X0) | calm(X0)) => (quiet(X0) & ~old(X0))) [input p8]
24. patient(susan) [input hypothesis]
32. ! [X0] : ... | 0 |
Everyone who is wise or not tall is not quiet or funny and vice versa. Everyone who is either not patient or brave is either not strong or calm and vice versa. Everyone who is brave is not funny. Everyone who is either not strong or not calm is patient or not brave and vice versa. Everyone who is not wise is not patien... | John is rich. | contradiction | (![X]:((wise(X)|~tall(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(brave(X)=>~funny(X)))&
(![X]:((~strong(X)<~>~calm(X))<=>(patient(X)|~brave(X))))&
(![X]:(~wise(X)<=>(~patient(X)|~calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~strong(X)<~>rich(X))))&
(((~humble(fred)&... | rich(john) | [
"p1",
"p2",
"p3",
"p5",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3147266862443167324810434
% SZS output start Proof for 3147266862443167324810434
2. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : (brave(X0) => ~funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~calm(X0)) <=> (~brave(X0) | patient(X0))) [... | 0 |
If mary is not old then someone is both creative and humble and vice versa.
If john is strong then someone is either not patient or not wise and vice versa.
Everyone who is both not patient and not wise is either strong or not wise.
If someone is either not calm or old then someone is happy.
Everyone who is brave or no... | John is rich. | entailment | ((~old(mary))<=>(?[X]:((creative(X)&humble(X)))))&
((strong(john))<=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((~patient(X)&~wise(X))=>(strong(X)<~>~wise(X))))&
((?[X]:((~calm(X)<~>old(X))))=>(?[X]:(happy(X))))&
(![X]:((brave(X)|~quiet(X))=>(~patient(X)|wise(X))))&
(![X]:((wise(X)&funny(X))<=>~generous(X)))&
(![X]:((~... | rich(john) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 337656478891207830917112
% SZS output start Proof for 337656478891207830917112
2. strong(john) <=> ? [X0] : (~patient(X0) <~> ~wise(X0)) [input p1]
3. ! [X0] : ((~wise(X0) & ~patient(X0)) => (strong(X0) <~> ~wise(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | brave(X0)) => (wise(X0) | ~patie... | 0 |
Everyone who is either not generous or humble is not wise.
Everyone who is not funny or brave is generous.
If alice is either rich or not quiet then someone is not tall or curious.
If paul is strong then someone is curious or rich.
If susan is not wise or humble then mary is not generous or kind and vice versa.
If some... | Alice is not funny. | entailment | (![X]:((~generous(X)<~>humble(X))=>~wise(X)))&
(![X]:((~funny(X)|brave(X))=>generous(X)))&
(((rich(alice)<~>~quiet(alice)))=>(?[X]:((~tall(X)|curious(X)))))&
((strong(paul))=>(?[X]:((curious(X)|rich(X)))))&
(((~wise(susan)|humble(susan)))<=>((~generous(mary)|kind(mary))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((ric... | ~funny(alice) | [
"p0",
"p1",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6905982874753495696779104
% SZS output start Proof for 6905982874753495696779104
1. ! [X0] : ((~generous(X0) <~> humble(X0)) => ~wise(X0)) [input p0]
2. ! [X0] : ((brave(X0) | ~funny(X0)) => generous(X0)) [input p1]
9. ! [X0] : ((tall(X0) | ~brave(X0)) => (~generous(X0) & brave(X0))) [inp... | 0 |
Everyone who is not calm or patient is generous and vice versa.
Everyone who is wise or not old is both not happy and wise and vice versa.
If fred is not calm or not old then susan is either rich or quiet.
If susan is generous or not generous then someone is either strong or not creative.
Everyone who is not brave or b... | Alice is not strong. | entailment | (![X]:((~calm(X)|patient(X))<=>generous(X)))&
(![X]:((wise(X)|~old(X))<=>(~happy(X)&wise(X))))&
(((~calm(fred)|~old(fred)))=>((rich(susan)<~>quiet(susan))))&
(((generous(susan)|~generous(susan)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~brave(X)|brave(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~brave(X)<~>generous... | ~strong(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4211794669770875133992627
% SZS output start Proof for 4211794669770875133992627
5. ! [X0] : ((brave(X0) | ~brave(X0)) => (~humble(X0) & ~strong(X0))) [input p4]
23. strong(alice) [input hypothesis]
27. ! [X0] : ((~humble(X0) & ~strong(X0)) | (~brave(X0) & brave(X0))) [ennf transformation... | 0 |
If someone is not generous or not kind then someone is both humble and not strong.
Everyone who is both not creative and funny is curious.
Everyone who is kind or happy is patient or wise and vice versa.
Everyone who is both calm and not wise is both humble and not generous and vice versa.
If someone is either old or n... | Alice is not rich. | neutral | ((?[X]:((~generous(X)|~kind(X))))=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:((~creative(X)&funny(X))=>curious(X)))&
(![X]:((kind(X)|happy(X))<=>(patient(X)|wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(humble(X)&~generous(X))))&
((?[X]:((old(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((ri... | ~rich(alice) | [] | null | 0 |
If fred is tall then someone is either tall or creative and vice versa.
If lucy is not happy then someone is rich.
Everyone who is generous or not rich is either funny or not humble.
Everyone who is creative is either not creative or not calm and vice versa.
If lucy is both tall and not calm then john is either not tal... | Alice is old. | entailment | ((tall(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm(X))))&
(((tall(lucy)&~calm(lucy)))=>((~tall(john)<~>quiet(john))))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)&~funny(X)))... | old(alice) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6605360761423202323350328
% SZS output start Proof for 6605360761423202323350328
4. ! [X0] : (creative(X0) <=> (~creative(X0) <~> ~calm(X0))) [input p3]
21. calm(alice) <~> old(alice) [input p20]
23. ~old(alice) [input hypothesis]
44. ! [X0] : ((creative(X0) | ((~creative(X0) | calm(X0)) ... | 0 |
Everyone who is not quiet or not kind is either humble or not wise.
Everyone who is not calm is both calm and not rich and vice versa.
If paul is either happy or not generous then someone is either not generous or curious.
Everyone who is creative or patient is either not generous or generous.
If john is either humble ... | John is generous. | entailment | (![X]:((~quiet(X)|~kind(X))=>(humble(X)<~>~wise(X))))&
(![X]:(~calm(X)<=>(calm(X)&~rich(X))))&
(((happy(paul)<~>~generous(paul)))=>(?[X]:((~generous(X)<~>curious(X)))))&
(![X]:((creative(X)|patient(X))=>(~generous(X)<~>generous(X))))&
(((humble(john)<~>~funny(john)))=>((calm(fred)&curious(fred))))&
(![X]:((humble(X)&~o... | generous(john) | [
"p0",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2694689694108235490374836
% SZS output start Proof for 2694689694108235490374836
1. ! [X0] : ((~kind(X0) | ~quiet(X0)) => (humble(X0) <~> ~wise(X0))) [input p0]
6. ! [X0] : ((~old(X0) & humble(X0)) <=> (quiet(X0) | ~wise(X0))) [input p5]
13. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (~... | 0 |
If lucy is either not tall or not brave then susan is both not brave and curious.
Everyone who is humble or curious is both not rich and calm and vice versa.
Everyone who is curious or not generous is either not strong or kind and vice versa.
If mary is both not happy and not generous then mary is both not wise and not... | John is not tall. | neutral | (((~tall(lucy)<~>~brave(lucy)))=>((~brave(susan)&curious(susan))))&
(![X]:((humble(X)|curious(X))<=>(~rich(X)&calm(X))))&
(![X]:((curious(X)|~generous(X))<=>(~strong(X)<~>kind(X))))&
(((~happy(mary)&~generous(mary)))<=>((~wise(mary)&~kind(mary))))&
(![X]:((~wise(X)&~patient(X))=>(patient(X)<~>calm(X))))&
(![X]:((~kind(... | ~tall(john) | [] | null | 0 |
If someone is kind or creative then lucy is not brave. Everyone who is quiet is either not curious or tall and vice versa. If someone is not calm then someone is not patient and vice versa. If susan is both happy and not patient then alice is either not humble or rich. If alice is not strong then someone is humble and ... | Alice is funny. | entailment | ((?[X]:((kind(X)|creative(X))))=>(~brave(lucy)))&
(![X]:(quiet(X)<=>(~curious(X)<~>tall(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~patient(X))))&
(((happy(susan)&~patient(susan)))=>((~humble(alice)<~>rich(alice))))&
((~strong(alice))<=>(?[X]:(humble(X))))&
((?[X]:((humble(X)&~rich(X))))<=>(?[X]:(~creative(X))))&
(((patient(su... | funny(alice) | [
"p4",
"p5",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4859665494692868709742994
% SZS output start Proof for 4859665494692868709742994
5. ~strong(alice) <=> ? [X0] : humble(X0) [input p4]
6. ? [X0] : (~rich(X0) & humble(X0)) <=> ? [X0] : ~creative(X0) [input p5]
11. ? [X0] : (creative(X0) <~> ~happy(X0)) <=> (~strong(alice) <~> ~funny(alice)... | 0 |
If paul is old then paul is not quiet or not wise.
Everyone who is both old and creative is generous and vice versa.
Everyone who is not happy or not kind is either not old or not wise.
If someone is either calm or not brave then someone is either curious or not wise and vice versa.
If john is old then lucy is both not... | John is not tall. | entailment | ((old(paul))=>((~quiet(paul)|~wise(paul))))&
(![X]:((old(X)&creative(X))<=>generous(X)))&
(![X]:((~happy(X)|~kind(X))=>(~old(X)<~>~wise(X))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((curious(X)<~>~wise(X)))))&
((old(john))<=>((~calm(lucy)&creative(lucy))))&
(![X]:((~strong(X)|~patient(X))=>(strong(X)<~>~old(X))))&
(!... | ~tall(john) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2149768261875809986617832
% SZS output start Proof for 2149768261875809986617832
7. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (~generous(X0) & humble(X0))) [input p6]
19. ~humble(john) <~> ~tall(john) [input p18]
22. tall(john) [input hypothesis]
43. ! [X0] : (((~brave(X0) | ~humble(X0)) |... | 0 |
If john is both not strong and not humble then paul is rich and vice versa.
If someone is either not curious or wise then someone is both not curious and not strong.
If someone is both humble and not rich then someone is both not wise and curious and vice versa.
If paul is not quiet or not wise then paul is funny and v... | Alice is kind. | entailment | (((~strong(john)&~humble(john)))<=>(rich(paul)))&
((?[X]:((~curious(X)<~>wise(X))))=>(?[X]:((~curious(X)&~strong(X)))))&
((?[X]:((humble(X)&~rich(X))))<=>(?[X]:((~wise(X)&curious(X)))))&
(((~quiet(paul)|~wise(paul)))<=>(funny(paul)))&
((~old(fred))=>((~humble(lucy)|brave(lucy))))&
(((strong(mary)&~wise(mary)))=>(?[X]:(... | kind(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4923256828197451239298412
% SZS output start Proof for 4923256828197451239298412
11. ! [X0] : ((happy(X0) | ~kind(X0)) <=> (~creative(X0) & kind(X0))) [input p10]
24. ~kind(alice) [input hypothesis]
56. ! [X0] : (((happy(X0) | ~kind(X0)) | (creative(X0) | ~kind(X0))) & ((~creative(X0) & k... | 0 |
If lucy is both curious and not generous then someone is not old.
Everyone who is both curious and not happy is not funny.
If lucy is both kind and funny then someone is not calm or not old and vice versa.
If lucy is tall then someone is not strong and vice versa.
If someone is not old then fred is both wise and curiou... | Fred is old. | entailment | (((curious(lucy)&~generous(lucy)))=>(?[X]:(~old(X))))&
(![X]:((curious(X)&~happy(X))=>~funny(X)))&
(((kind(lucy)&funny(lucy)))<=>(?[X]:((~calm(X)|~old(X)))))&
((tall(lucy))<=>(?[X]:(~strong(X))))&
((?[X]:(~old(X)))<=>((wise(fred)&curious(fred))))&
(((old(alice)|wise(alice)))<=>(~rich(mary)))&
((?[X]:((funny(X)&kind(X))... | old(fred) | [
"p2",
"p3",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6237541581813297209626161
% SZS output start Proof for 6237541581813297209626161
3. (funny(lucy) & kind(lucy)) <=> ? [X0] : (~old(X0) | ~calm(X0)) [input p2]
4. tall(lucy) <=> ? [X0] : ~strong(X0) [input p3]
8. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (strong(X0) | rich(X0))) [input p7]
13... | 0 |
If mary is either not creative or not strong then someone is not curious or humble and vice versa.
Everyone who is humble or happy is either not happy or not wise and vice versa.
If someone is both creative and not strong then susan is not creative and vice versa.
Everyone who is both wise and calm is both not curious ... | Alice is old. | neutral | (((~creative(mary)<~>~strong(mary)))<=>(?[X]:((~curious(X)|humble(X)))))&
(![X]:((humble(X)|happy(X))<=>(~happy(X)<~>~wise(X))))&
((?[X]:((creative(X)&~strong(X))))<=>(~creative(susan)))&
(![X]:((wise(X)&calm(X))=>(~curious(X)&~calm(X))))&
(![X]:((rich(X)<~>creative(X))<=>~wise(X)))&
(![X]:((~old(X)|happy(X))<=>(patien... | old(alice) | [] | null | 0 |
If mary is either old or not rich then alice is both generous and quiet.
If paul is both strong and not patient then john is either humble or not old and vice versa.
If someone is both not tall and happy then someone is brave or generous.
Everyone who is not funny or rich is generous or not kind.
Everyone who is either... | Alice is not generous. | contradiction | (((old(mary)<~>~rich(mary)))=>((generous(alice)&quiet(alice))))&
(((strong(paul)&~patient(paul)))<=>((humble(john)<~>~old(john))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:((brave(X)|generous(X)))))&
(![X]:((~funny(X)|rich(X))=>(generous(X)|~kind(X))))&
(![X]:((~strong(X)<~>~patient(X))=>(humble(X)|rich(X))))&
(((~brave(l... | ~generous(alice) | [
"p3",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8028375005517636886979329
% SZS output start Proof for 8028375005517636886979329
4. ! [X0] : ((rich(X0) | ~funny(X0)) => (~kind(X0) | generous(X0))) [input p3]
8. ! [X0] : (~rich(X0) => (~creative(X0) & creative(X0))) [input p7]
9. ! [X0] : ((creative(X0) <~> old(X0)) <=> (creative(X0) | ... | 0 |
Everyone who is either not generous or generous is both not funny and kind and vice versa.
Everyone who is both not creative and quiet is both not strong and strong.
Everyone who is either not humble or generous is both not funny and humble.
Everyone who is not tall or creative is both not humble and wise.
If someone i... | Mary is strong. | entailment | (![X]:((~generous(X)<~>generous(X))<=>(~funny(X)&kind(X))))&
(![X]:((~creative(X)&quiet(X))=>(~strong(X)&strong(X))))&
(![X]:((~humble(X)<~>generous(X))=>(~funny(X)&humble(X))))&
(![X]:((~tall(X)|creative(X))=>(~humble(X)&wise(X))))&
((?[X]:((~patient(X)|wise(X))))<=>((humble(mary)<~>~calm(mary))))&
(![X]:((~patient(X)... | strong(mary) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4301972163888495880792582
% SZS output start Proof for 4301972163888495880792582
1. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (kind(X0) & ~funny(X0))) [input p0]
2. ! [X0] : ((quiet(X0) & ~creative(X0)) => (strong(X0) & ~strong(X0))) [input p1]
4. ! [X0] : ((creative(X0) | ~tall(X0))... | 0 |
Everyone who is either not calm or wise is both rich and kind.
Everyone who is both not curious and tall is not creative and vice versa.
Everyone who is not brave is either quiet or not wise and vice versa.
Everyone who is both not brave and calm is not creative or kind and vice versa.
If someone is both humble and not... | Mary is old. | neutral | (![X]:((~calm(X)<~>wise(X))=>(rich(X)&kind(X))))&
(![X]:((~curious(X)&tall(X))<=>~creative(X)))&
(![X]:(~brave(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((~brave(X)&calm(X))<=>(~creative(X)|kind(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((kind(paul)<~>funny(paul))))&
((?[X]:((~strong(X)|generous(X))))<=>((~brave(mary)|strong(m... | old(mary) | [] | null | 0 |
If john is not brave then susan is either calm or not kind.
If someone is both funny and strong then paul is not wise and vice versa.
Everyone who is creative is not rich.
If lucy is quiet or funny then alice is either rich or not happy and vice versa.
If someone is brave or wise then someone is not calm or not curious... | Fred is old. | entailment | ((~brave(john))=>((calm(susan)<~>~kind(susan))))&
((?[X]:((funny(X)&strong(X))))<=>(~wise(paul)))&
(![X]:(creative(X)=>~rich(X)))&
(((quiet(lucy)|funny(lucy)))<=>((rich(alice)<~>~happy(alice))))&
((?[X]:((brave(X)|wise(X))))<=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((old(X)|~curious(X))))<=>(?[X]:((curious(X)|calm(X)... | old(fred) | [
"p2",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4378688291898345138542465
% SZS output start Proof for 4378688291898345138542465
3. ! [X0] : (creative(X0) => ~rich(X0)) [input p2]
8. ! [X0] : ((patient(X0) | ~creative(X0)) <=> (old(X0) & kind(X0))) [input p7]
23. rich(fred) [input p22]
25. ~old(fred) [input hypothesis]
30. ! [X0] : (~r... | 0 |
If john is either not happy or happy then mary is kind.
Everyone who is both quiet and not funny is funny.
If someone is brave or strong then someone is not quiet and vice versa.
If mary is either brave or not curious then lucy is humble or not strong.
Everyone who is patient or not curious is both curious and not calm... | Mary is wise. | neutral | (((~happy(john)<~>happy(john)))=>(kind(mary)))&
(![X]:((quiet(X)&~funny(X))=>funny(X)))&
((?[X]:((brave(X)|strong(X))))<=>(?[X]:(~quiet(X))))&
(((brave(mary)<~>~curious(mary)))=>((humble(lucy)|~strong(lucy))))&
(![X]:((patient(X)|~curious(X))<=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~s... | wise(mary) | [] | null | 0 |
Everyone who is not humble is calm or not old and vice versa. Everyone who is both not patient and not kind is both not wise and humble and vice versa. Everyone who is generous is not rich. If someone is curious then susan is both not old and generous. If alice is quiet or old then mary is either wise or happy. If some... | Fred is brave. | contradiction | (![X]:(~humble(X)<=>(calm(X)|~old(X))))&
(![X]:((~patient(X)&~kind(X))<=>(~wise(X)&humble(X))))&
(![X]:(generous(X)=>~rich(X)))&
((?[X]:(curious(X)))=>((~old(susan)&generous(susan))))&
(((quiet(alice)|old(alice)))=>((wise(mary)<~>happy(mary))))&
((?[X]:((strong(X)<~>generous(X))))=>(?[X]:((strong(X)|~happy(X)))))&
((?[... | brave(fred) | [
"p0",
"p1",
"p7",
"p8",
"p14",
"p15",
"p21",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2882256302768237150648505
% SZS output start Proof for 2882256302768237150648505
1. ! [X0] : (~humble(X0) <=> (~old(X0) | calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (humble(X0) & ~wise(X0))) [input p1]
8. ! [X0] : ((~kind(X0) & brave(X0)) => (~humble(X0) <~> brave(X... | 0 |
If paul is kind or not creative then fred is either not kind or not generous and vice versa.
Everyone who is not old is patient.
Everyone who is both generous and patient is strong or not quiet and vice versa.
If someone is both humble and patient then someone is both not patient and not brave and vice versa.
If john i... | Mary is happy. | contradiction | (((kind(paul)|~creative(paul)))<=>((~kind(fred)<~>~generous(fred))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((generous(X)&patient(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((tall(john)&rich(john)))=>(?[X]:(creative(X))))&
((~humble(susan))=>(?[X]:((~humble(X)&~w... | happy(mary) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 603824306554166639752978
% SZS output start Proof for 603824306554166639752978
3. ! [X0] : ((patient(X0) & generous(X0)) <=> (~quiet(X0) | strong(X0))) [input p2]
4. ? [X0] : (patient(X0) & humble(X0)) <=> ? [X0] : (~brave(X0) & ~patient(X0)) [input p3]
7. ! [X0] : ((generous(X0) | strong... | 0 |
Everyone who is not quiet is both not rich and not generous.
Everyone who is old is both generous and not creative.
If fred is not funny or not calm then someone is either old or not strong.
Everyone who is not generous is humble.
If someone is either brave or not creative then susan is both not wise and not happy.
Eve... | Susan is happy. | contradiction | (![X]:(~quiet(X)=>(~rich(X)&~generous(X))))&
(![X]:(old(X)=>(generous(X)&~creative(X))))&
(((~funny(fred)|~calm(fred)))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:(~generous(X)=>humble(X)))&
((?[X]:((brave(X)<~>~creative(X))))=>((~wise(susan)&~happy(susan))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(... | happy(susan) | [
"p4",
"p6",
"p8",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3420836800711199006612286
% SZS output start Proof for 3420836800711199006612286
5. ? [X0] : (brave(X0) <~> ~creative(X0)) => (~happy(susan) & ~wise(susan)) [input p4]
7. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> curious(X0)) [input p6]
9. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patie... | 0 |
If someone is old then someone is both not strong and not brave.
If someone is not kind then someone is generous and vice versa.
Everyone who is both kind and not humble is both wise and not happy and vice versa.
Everyone who is rich or strong is not tall or not creative.
Everyone who is strong is generous or not creat... | Fred is not calm. | neutral | ((?[X]:(old(X)))=>(?[X]:((~strong(X)&~brave(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)&~humble(X))<=>(wise(X)&~happy(X))))&
(![X]:((rich(X)|strong(X))=>(~tall(X)|~creative(X))))&
(![X]:(strong(X)<=>(generous(X)|~creative(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)&brave(X))))&
(((~kind... | ~calm(fred) | [] | null | 0 |
If mary is kind or creative then someone is either curious or not tall and vice versa.
Everyone who is generous is both not strong and not wise.
Everyone who is not old or not rich is tall or old and vice versa.
Everyone who is not happy or creative is either humble or wise.
If someone is creative or funny then paul is... | Susan is humble. | entailment | (((kind(mary)|creative(mary)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:(generous(X)=>(~strong(X)&~wise(X))))&
(![X]:((~old(X)|~rich(X))<=>(tall(X)|old(X))))&
(![X]:((~happy(X)|creative(X))=>(humble(X)<~>wise(X))))&
((?[X]:((creative(X)|funny(X))))=>((~funny(paul)<~>brave(paul))))&
(((tall(mary)<~>~quiet(mary)))<=>((... | humble(susan) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6720110569583835525892143
% SZS output start Proof for 6720110569583835525892143
7. ! [X0] : ((~funny(X0) | kind(X0)) => humble(X0)) [input p6]
9. ! [X0] : (~humble(X0) => (brave(X0) & ~funny(X0))) [input p8]
25. ~humble(susan) [input hypothesis]
30. ! [X0] : (humble(X0) | (funny(X0) & ~k... | 0 |
If someone is kind or not happy then paul is either not old or not creative and vice versa. If alice is either not happy or not calm then fred is not quiet. Everyone who is both old and humble is either generous or not funny. Everyone who is not brave or wise is not rich or not quiet. Everyone who is not old or generou... | John is strong. | neutral | ((?[X]:((kind(X)|~happy(X))))<=>((~old(paul)<~>~creative(paul))))&
(((~happy(alice)<~>~calm(alice)))=>(~quiet(fred)))&
(![X]:((old(X)&humble(X))=>(generous(X)<~>~funny(X))))&
(![X]:((~brave(X)|wise(X))=>(~rich(X)|~quiet(X))))&
(![X]:((~old(X)|generous(X))=>(~happy(X)|tall(X))))&
(((~strong(fred)|curious(fred)))=>(?[X]:... | strong(john) | [] | null | 0 |
If fred is humble or curious then someone is both rich and not humble.
If someone is both not generous and not kind then lucy is not happy or not generous.
If someone is funny or not old then mary is both not strong and funny and vice versa.
If someone is either not quiet or not patient then lucy is old and vice versa.... | Alice is not funny. | entailment | (((humble(fred)|curious(fred)))=>(?[X]:((rich(X)&~humble(X)))))&
((?[X]:((~generous(X)&~kind(X))))=>((~happy(lucy)|~generous(lucy))))&
((?[X]:((funny(X)|~old(X))))<=>((~strong(mary)&funny(mary))))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(old(lucy)))&
(![X]:((rich(X)|humble(X))<=>(~generous(X)|generous(X))))&
(![X]:(~ric... | ~funny(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6163582301525630704166362
% SZS output start Proof for 6163582301525630704166362
13. ! [X0] : (~funny(X0) <=> (~tall(X0) <~> tall(X0))) [input p12]
22. funny(alice) [input hypothesis]
60. ! [X0] : ((~funny(X0) | ((~tall(X0) | ~tall(X0)) & (tall(X0) | tall(X0)))) & (((~tall(X0) | tall(X0))... | 0 |
If someone is both not happy and patient then someone is both rich and old and vice versa. Everyone who is both kind and not wise is either quiet or creative and vice versa. Everyone who is strong is both patient and not happy and vice versa. Everyone who is not funny is both not humble and not curious and vice versa. ... | Fred is funny. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((rich(X)&old(X)))))&
(![X]:((kind(X)&~wise(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(strong(X)<=>(patient(X)&~happy(X))))&
(![X]:(~funny(X)<=>(~humble(X)&~curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|creative(X))))&
(![X]:((funny(X)<~>~creative(X))=>(generous(X)|kind(X))))&
(![X]... | funny(fred) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9002063664968226287726965
% SZS output start Proof for 9002063664968226287726965
5. ! [X0] : (funny(X0) <=> (creative(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p7]
10. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input ... | 0 |
If someone is both wise and not quiet then someone is not patient or tall and vice versa. Everyone who is either not curious or not patient is either calm or not tall. If paul is tall or not creative then someone is both not wise and not kind. Everyone who is calm or patient is not happy and vice versa. Everyone who is... | Paul is funny. | contradiction | ((?[X]:((wise(X)&~quiet(X))))<=>(?[X]:((~patient(X)|tall(X)))))&
(![X]:((~curious(X)<~>~patient(X))=>(calm(X)<~>~tall(X))))&
(((tall(paul)|~creative(paul)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((calm(X)|patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~wise(X))<=>~rich(X)))&
(![X]:((tall(X)&~kind(X))=>(strong(X)<~>rich... | funny(paul) | [
"p0",
"p3",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 384256826957713140181182
% SZS output start Proof for 384256826957713140181182
1. ? [X0] : (~quiet(X0) & wise(X0)) <=> ? [X0] : (tall(X0) | ~patient(X0)) [input p0]
4. ! [X0] : ((patient(X0) | calm(X0)) <=> ~happy(X0)) [input p3]
9. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (~strong(X0) & ... | 0 |
If someone is both not brave and not happy then lucy is not happy.
If susan is both creative and rich then fred is both not old and rich and vice versa.
If john is either funny or not strong then someone is both brave and not calm and vice versa.
Everyone who is quiet is either not kind or generous and vice versa.
If f... | Susan is not patient. | entailment | ((?[X]:((~brave(X)&~happy(X))))=>(~happy(lucy)))&
(((creative(susan)&rich(susan)))<=>((~old(fred)&rich(fred))))&
(((funny(john)<~>~strong(john)))<=>(?[X]:((brave(X)&~calm(X)))))&
(![X]:(quiet(X)<=>(~kind(X)<~>generous(X))))&
(((patient(fred)<~>humble(fred)))=>((happy(alice)<~>~curious(alice))))&
(![X]:((~creative(X)|ri... | ~patient(susan) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2955479999967797242379464
% SZS output start Proof for 2955479999967797242379464
14. ? [X0] : patient(X0) => ? [X0] : wise(X0) [input p13]
16. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> (humble(X0) | wise(X0))) [input p15]
25. patient(susan) [input hypothesis]
26. ? [X0] : patient(X0) => ? [X... | 0 |
Everyone who is not calm is either brave or creative and vice versa. Everyone who is happy or funny is patient or not wise and vice versa. If someone is tall then paul is strong or creative. Everyone who is both calm and quiet is either not brave or happy. Everyone who is both not quiet and not humble is not wise or no... | Paul is not old. | entailment | (![X]:(~calm(X)<=>(brave(X)<~>creative(X))))&
(![X]:((happy(X)|funny(X))<=>(patient(X)|~wise(X))))&
((?[X]:(tall(X)))=>((strong(paul)|creative(paul))))&
(![X]:((calm(X)&quiet(X))=>(~brave(X)<~>happy(X))))&
(![X]:((~quiet(X)&~humble(X))<=>(~wise(X)|~calm(X))))&
(![X]:((curious(X)|wise(X))<=>(~old(X)&~kind(X))))&
((?[X]:... | ~old(paul) | [
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6332929361903095005284659
% SZS output start Proof for 6332929361903095005284659
5. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (~calm(X0) | ~wise(X0))) [input p4]
8. ! [X0] : ((funny(X0) <~> ~funny(X0)) <=> ~wise(X0)) [input p7]
14. ! [X0] : ((~funny(X0) | old(X0)) <=> (old(X0) <~> ~quiet(X... | 0 |
Everyone who is not funny is creative or not kind and vice versa.
If someone is quiet then someone is not calm or old.
Everyone who is either rich or tall is not brave.
Everyone who is either old or not quiet is either kind or not tall and vice versa.
Everyone who is curious or not generous is not quiet or strong and v... | John is brave. | neutral | (![X]:(~funny(X)<=>(creative(X)|~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~calm(X)|old(X)))))&
(![X]:((rich(X)<~>tall(X))=>~brave(X)))&
(![X]:((old(X)<~>~quiet(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((curious(X)|~generous(X))<=>(~quiet(X)|strong(X))))&
(![X]:((quiet(X)&kind(X))<=>(~tall(X)<~>brave(X))))&
(((~wise(lucy)&~ki... | brave(john) | [] | null | 0 |
Everyone who is both not curious and not rich is not kind and vice versa.
If john is either not old or strong then someone is curious and vice versa.
If fred is both humble and happy then lucy is not rich or not happy.
Everyone who is not calm is not tall or calm and vice versa.
Everyone who is either not calm or happy... | Lucy is not humble. | neutral | (![X]:((~curious(X)&~rich(X))<=>~kind(X)))&
(((~old(john)<~>strong(john)))<=>(?[X]:(curious(X))))&
(((humble(fred)&happy(fred)))=>((~rich(lucy)|~happy(lucy))))&
(![X]:(~calm(X)<=>(~tall(X)|calm(X))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(tall(X)&~calm(X))))&
(((~funny(luc... | ~humble(lucy) | [] | null | 0 |
If someone is either not quiet or happy then fred is funny.
If someone is brave then paul is calm and vice versa.
Everyone who is either patient or not funny is both not generous and curious.
If john is either brave or funny then paul is not calm.
If susan is both strong and not tall then paul is either not curious or ... | Susan is not humble. | contradiction | ((?[X]:((~quiet(X)<~>happy(X))))=>(funny(fred)))&
((?[X]:(brave(X)))<=>(calm(paul)))&
(![X]:((patient(X)<~>~funny(X))=>(~generous(X)&curious(X))))&
(((brave(john)<~>funny(john)))=>(~calm(paul)))&
(((strong(susan)&~tall(susan)))=>((~curious(paul)<~>~brave(paul))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|cur... | ~humble(susan) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 496291620998335193362641
% SZS output start Proof for 496291620998335193362641
11. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p10]
14. ! [X0] : (~humble(X0) <=> ~curious(X0)) [input p13]
21. ~humble(susan) [input hypothesis]
47. ! [X0] : (((~calm(X0) & calm(X0)) | curious(X... | 0 |
If someone is both not curious and humble then someone is old and vice versa.
Everyone who is either not tall or not quiet is old and vice versa.
Everyone who is not calm or not curious is both not quiet and not wise and vice versa.
Everyone who is strong or not patient is both kind and not kind.
If someone is not kind... | Fred is not quiet. | entailment | ((?[X]:((~curious(X)&humble(X))))<=>(?[X]:(old(X))))&
(![X]:((~tall(X)<~>~quiet(X))<=>old(X)))&
(![X]:((~calm(X)|~curious(X))<=>(~quiet(X)&~wise(X))))&
(![X]:((strong(X)|~patient(X))=>(kind(X)&~kind(X))))&
((?[X]:((~kind(X)|strong(X))))=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:((old(X)<~>~rich(X))<=>(quiet(X)<~>~humble... | ~quiet(fred) | [
"p2",
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1035745637569023487996600
% SZS output start Proof for 1035745637569023487996600
3. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | strong(X0)) => (~kind(X0) & kind(X0))) [input p3]
12. ? [X0] : (calm(X0) | happy(X0)) => ? [X0] : ... | 0 |
Everyone who is not old is both curious and not old. If someone is not happy then paul is quiet or humble. If paul is generous then someone is either rich or not humble and vice versa. If john is not humble or not old then someone is old or generous. Everyone who is both not patient and not calm is calm or not creative... | Paul is not tall. | entailment | (![X]:(~old(X)=>(curious(X)&~old(X))))&
((?[X]:(~happy(X)))=>((quiet(paul)|humble(paul))))&
((generous(paul))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(((~humble(john)|~old(john)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:((happy(X)|~o... | ~tall(paul) | [
"p2",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2639929344889409899683935
% SZS output start Proof for 2639929344889409899683935
3. generous(paul) <=> ? [X0] : (rich(X0) <~> ~humble(X0)) [input p2]
10. ! [X0] : (~humble(X0) => tall(X0)) [input p9]
16. ! [X0] : ((~tall(X0) & calm(X0)) <=> (generous(X0) | ~humble(X0))) [input p15]
17. qu... | 0 |
If mary is both not wise and not creative then alice is not humble.
Everyone who is both not kind and humble is not funny or not generous.
If someone is not tall or generous then someone is both kind and not old and vice versa.
Everyone who is both brave and kind is not humble or strong and vice versa.
Everyone who is ... | Mary is not patient. | neutral | (((~wise(mary)&~creative(mary)))=>(~humble(alice)))&
(![X]:((~kind(X)&humble(X))=>(~funny(X)|~generous(X))))&
((?[X]:((~tall(X)|generous(X))))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((brave(X)&kind(X))<=>(~humble(X)|strong(X))))&
(![X]:((rich(X)&~kind(X))<=>(~happy(X)<~>~calm(X))))&
(![X]:(tall(X)<=>curious(X)))&
((?[X]:... | ~patient(mary) | [] | null | 0 |
If susan is either curious or not quiet then someone is not patient or not creative and vice versa.
Everyone who is brave is both not old and not quiet.
Everyone who is either not strong or not wise is either creative or kind and vice versa.
Everyone who is either wise or not funny is either not funny or not wise.
If a... | Fred is not patient. | neutral | (((curious(susan)<~>~quiet(susan)))<=>(?[X]:((~patient(X)|~creative(X)))))&
(![X]:(brave(X)=>(~old(X)&~quiet(X))))&
(![X]:((~strong(X)<~>~wise(X))<=>(creative(X)<~>kind(X))))&
(![X]:((wise(X)<~>~funny(X))=>(~funny(X)<~>~wise(X))))&
(((~curious(alice)&~patient(alice)))=>((~humble(mary)|~generous(mary))))&
(![X]:((patien... | ~patient(fred) | [] | null | 0 |
Everyone who is both not strong and not curious is either not calm or not patient.
If someone is either not patient or not happy then alice is not curious.
Everyone who is rich is both rich and brave and vice versa.
If someone is not calm or old then susan is either not creative or not calm and vice versa.
If alice is ... | Lucy is calm. | neutral | (![X]:((~strong(X)&~curious(X))=>(~calm(X)<~>~patient(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>(~curious(alice)))&
(![X]:(rich(X)<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~strong(john))))&
((?[X]:(kind(X)))=>((happy(m... | calm(lucy) | [] | null | 0 |
Everyone who is both not rich and not old is not quiet or not funny.
If someone is either not funny or generous then someone is old or not old and vice versa.
Everyone who is not brave or curious is both not quiet and calm.
Everyone who is quiet is either calm or tall and vice versa.
Everyone who is both not funny and ... | Fred is happy. | neutral | (![X]:((~rich(X)&~old(X))=>(~quiet(X)|~funny(X))))&
((?[X]:((~funny(X)<~>generous(X))))<=>(?[X]:((old(X)|~old(X)))))&
(![X]:((~brave(X)|curious(X))=>(~quiet(X)&calm(X))))&
(![X]:(quiet(X)<=>(calm(X)<~>tall(X))))&
(![X]:((~funny(X)&~happy(X))=>(curious(X)|rich(X))))&
((?[X]:((humble(X)<~>quiet(X))))<=>((~strong(fred)|wi... | happy(fred) | [] | null | 0 |
If someone is not creative or funny then mary is either not generous or not old and vice versa.
Everyone who is brave is both not calm and funny and vice versa.
Everyone who is not happy or brave is not curious or not humble.
If paul is either rich or not brave then susan is not funny and vice versa.
If mary is not tal... | Lucy is not calm. | contradiction | ((?[X]:((~creative(X)|funny(X))))<=>((~generous(mary)<~>~old(mary))))&
(![X]:(brave(X)<=>(~calm(X)&funny(X))))&
(![X]:((~happy(X)|brave(X))=>(~curious(X)|~humble(X))))&
(((rich(paul)<~>~brave(paul)))<=>(~funny(susan)))&
(((~tall(mary)|old(mary)))=>((~creative(paul)&~happy(paul))))&
(![X]:((~curious(X)|~patient(X))<=>(~... | ~calm(lucy) | [
"p1",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4414295542068984816446130
% SZS output start Proof for 4414295542068984816446130
2. ! [X0] : (brave(X0) <=> (funny(X0) & ~calm(X0))) [input p1]
13. ! [X0] : ((~patient(X0) | funny(X0)) <=> (creative(X0) & ~brave(X0))) [input p12]
18. funny(lucy) & ~kind(lucy) [input p17]
23. ~calm(lucy) [... | 0 |
If lucy is both not brave and happy then someone is not brave or rich.
If someone is not funny or not humble then someone is either not humble or not rich and vice versa.
Everyone who is tall is either creative or calm and vice versa.
Everyone who is funny is not strong or not generous and vice versa.
Everyone who is b... | Paul is not creative. | contradiction | (((~brave(lucy)&happy(lucy)))=>(?[X]:((~brave(X)|rich(X)))))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:((~humble(X)<~>~rich(X)))))&
(![X]:(tall(X)<=>(creative(X)<~>calm(X))))&
(![X]:(funny(X)<=>(~strong(X)|~generous(X))))&
(![X]:((funny(X)&patient(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((creative(X)&~funny(X))<=>quiet(... | ~creative(paul) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 228858389970389727648571
% SZS output start Proof for 228858389970389727648571
6. ! [X0] : ((~funny(X0) & creative(X0)) <=> quiet(X0)) [input p5]
17. quiet(paul) | creative(paul) [input p16]
25. ~creative(paul) [input hypothesis]
47. ! [X0] : (((~funny(X0) & creative(X0)) | ~quiet(X0)) & ... | 0 |
If someone is both not happy and not strong then someone is patient and vice versa.
If alice is both not strong and creative then someone is both not generous and not rich and vice versa.
Everyone who is both not generous and not tall is both patient and quiet.
Everyone who is kind is not rich or brave and vice versa.
... | Mary is old. | contradiction | ((?[X]:((~happy(X)&~strong(X))))<=>(?[X]:(patient(X))))&
(((~strong(alice)&creative(alice)))<=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~generous(X)&~tall(X))=>(patient(X)&quiet(X))))&
(![X]:(kind(X)<=>(~rich(X)|brave(X))))&
(![X]:((~wise(X)<~>quiet(X))<=>(~old(X)|~creative(X))))&
((?[X]:((~kind(X)<~>~curious(X))))=>... | old(mary) | [
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 713344029667061337959494
% SZS output start Proof for 713344029667061337959494
7. ! [X0] : ((kind(X0) | ~quiet(X0)) => (~strong(X0) & patient(X0))) [input p6]
9. ! [X0] : (old(X0) => (old(X0) <~> ~kind(X0))) [input p8]
12. ! [X0] : ((old(X0) | brave(X0)) => (strong(X0) & ~humble(X0))) [in... | 0 |
If susan is strong then john is strong or patient and vice versa.
Everyone who is both not kind and happy is both old and quiet.
If someone is either not brave or not humble then someone is not rich or strong and vice versa.
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then... | Susan is patient. | neutral | ((strong(susan))<=>((strong(john)|patient(john))))&
(![X]:((~kind(X)&happy(X))=>(old(X)&quiet(X))))&
((?[X]:((~brave(X)<~>~humble(X))))<=>(?[X]:((~rich(X)|strong(X)))))&
((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creati... | patient(susan) | [] | null | 0 |
Everyone who is both wise and not kind is funny and vice versa.
Everyone who is either tall or humble is creative or not calm.
Everyone who is not kind or not wise is either not wise or creative.
Everyone who is kind is not strong and vice versa.
If john is either not kind or not curious then paul is not brave or not p... | Fred is not humble. | neutral | (![X]:((wise(X)&~kind(X))<=>funny(X)))&
(![X]:((tall(X)<~>humble(X))=>(creative(X)|~calm(X))))&
(![X]:((~kind(X)|~wise(X))=>(~wise(X)<~>creative(X))))&
(![X]:(kind(X)<=>~strong(X)))&
(((~kind(john)<~>~curious(john)))=>((~brave(paul)|~patient(paul))))&
(![X]:((~calm(X)<~>curious(X))=>(humble(X)|happy(X))))&
(((~old(mary... | ~humble(fred) | [] | null | 0 |
Everyone who is wise or not generous is either kind or creative.
If someone is both wise and happy then someone is either not patient or funny.
Everyone who is quiet is rich and vice versa.
Everyone who is either kind or curious is either not brave or wise and vice versa.
Everyone who is not creative is quiet or strong... | Fred is rich. | entailment | (![X]:((wise(X)|~generous(X))=>(kind(X)<~>creative(X))))&
((?[X]:((wise(X)&happy(X))))=>(?[X]:((~patient(X)<~>funny(X)))))&
(![X]:(quiet(X)<=>rich(X)))&
(![X]:((kind(X)<~>curious(X))<=>(~brave(X)<~>wise(X))))&
(![X]:(~creative(X)=>(quiet(X)|strong(X))))&
(((strong(alice)&wise(alice)))=>(?[X]:(~kind(X))))&
((~happy(susa... | rich(fred) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6641928781672496515749204
% SZS output start Proof for 6641928781672496515749204
4. ! [X0] : ((kind(X0) <~> curious(X0)) <=> (~brave(X0) <~> wise(X0))) [input p3]
12. brave(fred) <=> (~curious(fred) <~> kind(fred)) [input p11]
16. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~creative(X0) | ~ric... | 0 |
If someone is wise or humble then someone is kind.
Everyone who is either calm or not curious is not tall.
Everyone who is either humble or not happy is either quiet or not tall and vice versa.
If fred is not humble or humble then lucy is not curious or curious and vice versa.
If susan is tall or not creative then mary... | Susan is not wise. | neutral | ((?[X]:((wise(X)|humble(X))))=>(?[X]:(kind(X))))&
(![X]:((calm(X)<~>~curious(X))=>~tall(X)))&
(![X]:((humble(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(((~humble(fred)|humble(fred)))<=>((~curious(lucy)|curious(lucy))))&
(((tall(susan)|~creative(susan)))=>((~wise(mary)<~>rich(mary))))&
(![X]:((~creative(X)|quiet(X))=>(... | ~wise(susan) | [] | null | 0 |
Everyone who is either not old or brave is either quiet or happy. Everyone who is both not generous and brave is not strong. If someone is either patient or happy then paul is either not old or creative and vice versa. If someone is either not curious or not old then alice is both not quiet and happy. Everyone who is n... | Alice is quiet. | neutral | (![X]:((~old(X)<~>brave(X))=>(quiet(X)<~>happy(X))))&
(![X]:((~generous(X)&brave(X))=>~strong(X)))&
((?[X]:((patient(X)<~>happy(X))))<=>((~old(paul)<~>creative(paul))))&
((?[X]:((~curious(X)<~>~old(X))))=>((~quiet(alice)&happy(alice))))&
(![X]:(~patient(X)<=>(tall(X)&~calm(X))))&
(![X]:(~kind(X)=>funny(X)))&
((?[X]:(~f... | quiet(alice) | [] | null | 0 |
Everyone who is both not rich and not quiet is either not quiet or patient and vice versa.
If susan is both not wise and rich then someone is brave or calm.
Everyone who is creative is funny or creative and vice versa.
Everyone who is either tall or creative is not wise and vice versa.
If someone is either not happy or... | Alice is brave. | entailment | (![X]:((~rich(X)&~quiet(X))<=>(~quiet(X)<~>patient(X))))&
(((~wise(susan)&rich(susan)))=>(?[X]:((brave(X)|calm(X)))))&
(![X]:(creative(X)<=>(funny(X)|creative(X))))&
(![X]:((tall(X)<~>creative(X))<=>~wise(X)))&
((?[X]:((~happy(X)<~>funny(X))))=>((kind(alice)&brave(alice))))&
(![X]:((strong(X)<~>~patient(X))=>(~calm(X)<... | brave(alice) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8006633598034651744690093
% SZS output start Proof for 8006633598034651744690093
3. ! [X0] : (creative(X0) <=> (creative(X0) | funny(X0))) [input p2]
5. ? [X0] : (~happy(X0) <~> funny(X0)) => (brave(alice) & kind(alice)) [input p4]
7. ! [X0] : (creative(X0) <=> (quiet(X0) & ~old(X0))) [in... | 0 |
Everyone who is not patient or not strong is either not strong or creative and vice versa.
Everyone who is not strong or old is calm and vice versa.
If someone is either wise or strong then susan is either brave or not patient.
Everyone who is either happy or kind is rich or wise and vice versa.
Everyone who is not kin... | John is not happy. | neutral | (![X]:((~patient(X)|~strong(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~strong(X)|old(X))<=>calm(X)))&
((?[X]:((wise(X)<~>strong(X))))=>((brave(susan)<~>~patient(susan))))&
(![X]:((happy(X)<~>kind(X))<=>(rich(X)|wise(X))))&
(![X]:((~kind(X)|~calm(X))<=>(~brave(X)&~humble(X))))&
(![X]:((~old(X)&~wise(X))=>~curious(X)))... | ~happy(john) | [] | null | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If lucy is not old or not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both... | Mary is brave. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~old(lucy)|~tall(lucy)))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kin... | brave(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 519414456136711365410973
% SZS output start Proof for 519414456136711365410973
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p11]
23. ~brave(mary) [input hypothesis]
31. ! [X0] : (~kind(X0) | (bra... | 0 |
Everyone who is rich is both generous and not curious and vice versa. If susan is either humble or not curious then lucy is not rich or old and vice versa. If someone is not brave or not humble then someone is not creative or rich and vice versa. Everyone who is either not patient or humble is either old or curious and... | Susan is happy. | contradiction | (![X]:(rich(X)<=>(generous(X)&~curious(X))))&
(((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((... | happy(susan) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6969305749884675214363504
% SZS output start Proof for 6969305749884675214363504
7. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p8]
22. happy(susan) [input hypothesis]
43. ! [X0] : (... | 0 |
If paul is both humble and not calm then mary is humble.
If someone is either not wise or tall then someone is funny or not patient.
If someone is either not funny or humble then fred is both patient and tall.
Everyone who is both not wise and not rich is both happy and not kind and vice versa.
Everyone who is not gene... | Susan is not curious. | entailment | (((humble(paul)&~calm(paul)))=>(humble(mary)))&
((?[X]:((~wise(X)<~>tall(X))))=>(?[X]:((funny(X)|~patient(X)))))&
((?[X]:((~funny(X)<~>humble(X))))=>((patient(fred)&tall(fred))))&
(![X]:((~wise(X)&~rich(X))<=>(happy(X)&~kind(X))))&
(![X]:(~generous(X)<=>(kind(X)&patient(X))))&
((?[X]:(old(X)))<=>(quiet(alice)))&
(((~wi... | ~curious(susan) | [
"p4",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8684925145059355071902923
% SZS output start Proof for 8684925145059355071902923
5. ! [X0] : (~generous(X0) <=> (patient(X0) & kind(X0))) [input p4]
13. ! [X0] : (generous(X0) => (~funny(X0) & ~curious(X0))) [input p12]
16. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> calm(X0)) [input p15... | 0 |
Everyone who is either generous or not humble is either patient or quiet. Everyone who is not tall is patient or wise. Everyone who is both not tall and calm is not curious or not generous and vice versa. Everyone who is both strong and not calm is either humble or brave and vice versa. Everyone who is not tall or stro... | John is not brave. | neutral | (![X]:((generous(X)<~>~humble(X))=>(patient(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))))&
((~kind(fred))<=>(?[X]:(humble(X))))&
((?[X]:(... | ~brave(john) | [] | null | 0 |
If fred is either quiet or not tall then mary is either not funny or quiet. Everyone who is not old or not strong is both curious and calm and vice versa. If someone is either not wise or generous then someone is either kind or not old and vice versa. If someone is humble then susan is old or not tall and vice versa. E... | Paul is humble. | contradiction | (((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(humble(X)))<=>((old(susan)|~tall(susan))))&
(![X]:((tall(X)&patient(X))=>(tall(X)|~rich(X))))&
(![X]:((~happy(X)|~curious(X))... | humble(paul) | [
"p1",
"p5",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6393065563293620582923899
% SZS output start Proof for 6393065563293620582923899
2. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (calm(X0) & curious(X0))) [input p1]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~humble(X0) | curious(X0))) [input p5]
12. ! [X0] : ((happy(X0) <~> strong(X0)) => t... | 0 |
If alice is both not generous and not calm then paul is both not creative and strong and vice versa.
If susan is either wise or strong then john is not creative or not old.
Everyone who is not happy is quiet and vice versa.
If someone is not happy then lucy is both creative and old and vice versa.
Everyone who is both ... | Mary is happy. | entailment | (((~generous(alice)&~calm(alice)))<=>((~creative(paul)&strong(paul))))&
(((wise(susan)<~>strong(susan)))=>((~creative(john)|~old(john))))&
(![X]:(~happy(X)<=>quiet(X)))&
((?[X]:(~happy(X)))<=>((creative(lucy)&old(lucy))))&
(![X]:((~tall(X)&~creative(X))<=>(quiet(X)&~strong(X))))&
(((~quiet(lucy)|rich(lucy)))<=>((patien... | happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4125850889871879523843227
% SZS output start Proof for 4125850889871879523843227
3. ! [X0] : (~happy(X0) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~strong(X0) & quiet(X0))) [input p4]
8. ! [X0] : ((strong(X0) | ~strong(X0)) => curious(X0)) [input p7]
10. ! [X... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.