premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not funny and not tall is not creative.
Everyone who is not kind or old is happy and vice versa.
Everyone who is both not patient and brave is not tall or curious and vice versa.
Everyone who is either quiet or not brave is both not strong and funny and vice versa.
Everyone who is either not calm o... | Fred is not quiet. | contradiction | (![X]:((~funny(X)&~tall(X))=>~creative(X)))&
(![X]:((~kind(X)|old(X))<=>happy(X)))&
(![X]:((~patient(X)&brave(X))<=>(~tall(X)|curious(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)&funny(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>(~funny(X)&~happy(X))))&
(((~brave(fred)<~>~wise(fred)))<=>(?[X]:((creative(X)<~>brave(X)))... | ~quiet(fred) | [
"p2",
"p3",
"p5",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6197885824123947660116998
% SZS output start Proof for 6197885824123947660116998
3. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (curious(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~brave(X0)) <=> (funny(X0) & ~strong(X0))) [input p3]
6. (~brave(fred) <~> ~wise(fred)) <=> ? [X0]... | 0 |
If someone is rich then paul is not happy or tall.
Everyone who is either not generous or not humble is both not brave and creative.
Everyone who is either brave or generous is both brave and kind and vice versa.
If alice is generous then paul is both not wise and tall and vice versa.
Everyone who is both not brave and... | Susan is not kind. | contradiction | ((?[X]:(rich(X)))=>((~happy(paul)|tall(paul))))&
(![X]:((~generous(X)<~>~humble(X))=>(~brave(X)&creative(X))))&
(![X]:((brave(X)<~>generous(X))<=>(brave(X)&kind(X))))&
((generous(alice))<=>((~wise(paul)&tall(paul))))&
(![X]:((~brave(X)&~old(X))=>(humble(X)|~kind(X))))&
(((~curious(fred)&creative(fred)))=>(?[X]:(old(X))... | ~kind(susan) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 354263956097581136328162
% SZS output start Proof for 354263956097581136328162
16. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> ~kind(X0)) [input p15]
22. wise(susan) [input p21]
25. ~kind(susan) [input hypothesis]
73. ! [X0] : (((~kind(X0) & ~wise(X0)) | kind(X0)) & (~kind(X0) | (kind(X0) | wis... | 0 |
Everyone who is not calm is either old or not strong. Everyone who is either not kind or quiet is patient or not wise. Everyone who is patient is brave or tall. Everyone who is not generous is both not humble and not brave. Everyone who is both kind and not kind is brave and vice versa. If someone is both funny and not... | Lucy is curious. | entailment | (![X]:(~calm(X)=>(old(X)<~>~strong(X))))&
(![X]:((~kind(X)<~>quiet(X))=>(patient(X)|~wise(X))))&
(![X]:(patient(X)=>(brave(X)|tall(X))))&
(![X]:(~generous(X)=>(~humble(X)&~brave(X))))&
(![X]:((kind(X)&~kind(X))<=>brave(X)))&
((?[X]:((funny(X)&~kind(X))))<=>((humble(alice)|~generous(alice))))&
((?[X]:((happy(X)&~old(X))... | curious(lucy) | [
"p4",
"p7",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6953818662294381354746362
% SZS output start Proof for 6953818662294381354746362
5. ! [X0] : ((~kind(X0) & kind(X0)) <=> brave(X0)) [input p4]
8. ! [X0] : ((quiet(X0) | tall(X0)) <=> (quiet(X0) <~> ~curious(X0))) [input p7]
10. ! [X0] : ((calm(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~gener... | 0 |
If mary is either brave or funny then someone is funny and vice versa.
If someone is quiet or not happy then someone is curious and vice versa.
Everyone who is both quiet and not old is either humble or not quiet and vice versa.
If someone is both rich and not curious then paul is both not wise and quiet.
Everyone who ... | Alice is not old. | neutral | (((brave(mary)<~>funny(mary)))<=>(?[X]:(funny(X))))&
((?[X]:((quiet(X)|~happy(X))))<=>(?[X]:(curious(X))))&
(![X]:((quiet(X)&~old(X))<=>(humble(X)<~>~quiet(X))))&
((?[X]:((rich(X)&~curious(X))))=>((~wise(paul)&quiet(paul))))&
(![X]:((~old(X)&~rich(X))<=>(happy(X)|~curious(X))))&
(![X]:((brave(X)|calm(X))=>(~old(X)&humb... | ~old(alice) | [] | null | 0 |
If mary is either not patient or brave then fred is both creative and not calm and vice versa.
If lucy is not calm then john is humble.
Everyone who is both kind and not tall is both happy and brave.
Everyone who is not happy or not kind is both creative and kind and vice versa.
Everyone who is not generous is not wise... | Susan is quiet. | entailment | (((~patient(mary)<~>brave(mary)))<=>((creative(fred)&~calm(fred))))&
((~calm(lucy))=>(humble(john)))&
(![X]:((kind(X)&~tall(X))=>(happy(X)&brave(X))))&
(![X]:((~happy(X)|~kind(X))<=>(creative(X)&kind(X))))&
(![X]:(~generous(X)<=>(~wise(X)|funny(X))))&
(![X]:((~quiet(X)|humble(X))=>(generous(X)&~wise(X))))&
(![X]:((~kin... | quiet(susan) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5680160949293029349606787
% SZS output start Proof for 5680160949293029349606787
5. ! [X0] : (~generous(X0) <=> (funny(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~wise(X0) & generous(X0))) [input p5]
25. ~quiet(susan) [input hypothesis]
30. ! [X0] : ((~wise(X0... | 0 |
If someone is both humble and not curious then someone is strong.
Everyone who is either curious or not patient is both not old and not strong and vice versa.
If lucy is not happy then someone is wise.
If someone is calm or not quiet then someone is both strong and quiet.
If someone is either patient or kind then john ... | Mary is not humble. | neutral | ((?[X]:((humble(X)&~curious(X))))=>(?[X]:(strong(X))))&
(![X]:((curious(X)<~>~patient(X))<=>(~old(X)&~strong(X))))&
((~happy(lucy))=>(?[X]:(wise(X))))&
((?[X]:((calm(X)|~quiet(X))))=>(?[X]:((strong(X)&quiet(X)))))&
((?[X]:((patient(X)<~>kind(X))))<=>((~funny(john)<~>happy(john))))&
(![X]:(old(X)<=>(~quiet(X)&kind(X))))... | ~humble(mary) | [] | null | 0 |
Everyone who is both not generous and old is either not curious or creative.
Everyone who is both generous and not rich is not generous or humble and vice versa.
Everyone who is both quiet and tall is not patient or funny and vice versa.
Everyone who is not kind is both not generous and not kind.
Everyone who is both s... | Lucy is not kind. | contradiction | (![X]:((~generous(X)&old(X))=>(~curious(X)<~>creative(X))))&
(![X]:((generous(X)&~rich(X))<=>(~generous(X)|humble(X))))&
(![X]:((quiet(X)&tall(X))<=>(~patient(X)|funny(X))))&
(![X]:(~kind(X)=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)&brave(X))<=>(~old(X)|~wise(X))))&
((?[X]:((~funny(X)&generous(X))))=>(brave(john)))... | ~kind(lucy) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2632026225954906184176255
% SZS output start Proof for 2632026225954906184176255
2. ! [X0] : ((~rich(X0) & generous(X0)) <=> (humble(X0) | ~generous(X0))) [input p1]
4. ! [X0] : (~kind(X0) => (~kind(X0) & ~generous(X0))) [input p3]
22. ~kind(lucy) [input hypothesis]
27. ! [X0] : ((~kind(X... | 0 |
If someone is either not patient or kind then fred is funny. Everyone who is both not calm and not humble is either tall or not wise. Everyone who is tall or not humble is either not rich or kind and vice versa. If mary is both not quiet and tall then someone is kind and vice versa. Everyone who is strong is either hum... | Mary is quiet. | neutral | ((?[X]:((~patient(X)<~>kind(X))))=>(funny(fred)))&
(![X]:((~calm(X)&~humble(X))=>(tall(X)<~>~wise(X))))&
(![X]:((tall(X)|~humble(X))<=>(~rich(X)<~>kind(X))))&
(((~quiet(mary)&tall(mary)))<=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(humble(X)<~>~kind(X))))&
(![X]:((kind(X)&~rich(X))<=>(~generous(X)<~>happy(X))))&
(![X]:(ta... | quiet(mary) | [] | null | 0 |
Everyone who is brave or not old is old and vice versa.
Everyone who is brave or calm is either strong or not funny.
Everyone who is either not strong or not quiet is either not happy or rich and vice versa.
Everyone who is tall or not kind is tall.
Everyone who is not creative or funny is both not rich and funny.
Ever... | Paul is patient. | neutral | (![X]:((brave(X)|~old(X))<=>old(X)))&
(![X]:((brave(X)|calm(X))=>(strong(X)<~>~funny(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((tall(X)|~kind(X))=>tall(X)))&
(![X]:((~creative(X)|funny(X))=>(~rich(X)&funny(X))))&
(![X]:((old(X)&rich(X))=>(patient(X)|strong(X))))&
((?[X]:((generous(X)<~>qu... | patient(paul) | [] | null | 0 |
Everyone who is brave is strong or not kind and vice versa.
Everyone who is happy or kind is either not wise or calm and vice versa.
If john is either not patient or quiet then someone is happy and vice versa.
Everyone who is both strong and creative is either patient or not creative and vice versa.
Everyone who is hum... | Paul is happy. | entailment | (![X]:(brave(X)<=>(strong(X)|~kind(X))))&
(![X]:((happy(X)|kind(X))<=>(~wise(X)<~>calm(X))))&
(((~patient(john)<~>quiet(john)))<=>(?[X]:(happy(X))))&
(![X]:((strong(X)&creative(X))<=>(patient(X)<~>~creative(X))))&
(![X]:(humble(X)=>(~creative(X)|quiet(X))))&
((?[X]:(~rich(X)))<=>((~rich(fred)<~>~humble(fred))))&
(((gen... | happy(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6547460979313979344684784
% SZS output start Proof for 6547460979313979344684784
16. ! [X0] : ((happy(X0) | calm(X0)) <=> ~calm(X0)) [input p15]
25. ~happy(paul) [input hypothesis]
70. ! [X0] : (((happy(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (~happy(X0) & ~calm(X0)))) [nnf transformat... | 0 |
Everyone who is not happy is both old and not kind.
If lucy is not patient then mary is quiet or kind and vice versa.
Everyone who is not tall or kind is either not rich or quiet.
Everyone who is both not curious and creative is either not happy or humble and vice versa.
Everyone who is either tall or patient is both h... | Susan is quiet. | neutral | (![X]:(~happy(X)=>(old(X)&~kind(X))))&
((~patient(lucy))<=>((quiet(mary)|kind(mary))))&
(![X]:((~tall(X)|kind(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~curious(X)&creative(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice)... | quiet(susan) | [] | null | 0 |
Everyone who is either not old or old is either happy or rich.
If paul is calm or tall then mary is either not rich or old.
Everyone who is both patient and not creative is not creative or funny and vice versa.
Everyone who is both strong and not calm is both not rich and kind.
Everyone who is strong is both generous a... | John is not strong. | entailment | (![X]:((~old(X)<~>old(X))=>(happy(X)<~>rich(X))))&
(((calm(paul)|tall(paul)))=>((~rich(mary)<~>old(mary))))&
(![X]:((patient(X)&~creative(X))<=>(~creative(X)|funny(X))))&
(![X]:((strong(X)&~calm(X))=>(~rich(X)&kind(X))))&
(![X]:(strong(X)<=>(generous(X)&funny(X))))&
((?[X]:((old(X)<~>~generous(X))))<=>(?[X]:((quiet(X)|... | ~strong(john) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4598470430866342776705696
% SZS output start Proof for 4598470430866342776705696
5. ! [X0] : (strong(X0) <=> (funny(X0) & generous(X0))) [input p4]
15. ! [X0] : ((~generous(X0) & ~brave(X0)) <=> (~patient(X0) | strong(X0))) [input p14]
24. strong(john) [input hypothesis]
39. ! [X0] : ((st... | 0 |
Everyone who is both quiet and not happy is rich or not kind and vice versa. If fred is either not curious or rich then someone is both not old and not funny and vice versa. Everyone who is both happy and not tall is both brave and not wise. Everyone who is not old is creative or not funny and vice versa. If someone is... | Mary is tall. | entailment | (![X]:((quiet(X)&~happy(X))<=>(rich(X)|~kind(X))))&
(((~curious(fred)<~>rich(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((happy(X)&~tall(X))=>(brave(X)&~wise(X))))&
(![X]:(~old(X)<=>(creative(X)|~funny(X))))&
((?[X]:(~quiet(X)))=>((~strong(john)<~>~old(john))))&
(![X]:((~quiet(X)<~>~funny(X))=>~strong(X)))&
(![X]:(... | tall(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6527826999239613545191649
% SZS output start Proof for 6527826999239613545191649
1. ! [X0] : ((~happy(X0) & quiet(X0)) <=> (~kind(X0) | rich(X0))) [input p0]
2. (~curious(fred) <~> rich(fred)) <=> ? [X0] : (~funny(X0) & ~old(X0)) [input p1]
3. ! [X0] : ((~tall(X0) & happy(X0)) => (~wise(X... | 0 |
If fred is both not creative and not calm then susan is both wise and not brave and vice versa. Everyone who is not wise is both not funny and old. If someone is either not calm or funny then john is not kind or rich. Everyone who is both not wise and not generous is not strong or curious and vice versa. Everyone who i... | Lucy is funny. | contradiction | (((~creative(fred)&~calm(fred)))<=>((wise(susan)&~brave(susan))))&
(![X]:(~wise(X)=>(~funny(X)&old(X))))&
((?[X]:((~calm(X)<~>funny(X))))=>((~kind(john)|rich(john))))&
(![X]:((~wise(X)&~generous(X))<=>(~strong(X)|curious(X))))&
(![X]:((tall(X)|funny(X))=>(humble(X)<~>curious(X))))&
(![X]:(~wise(X)=>~humble(X)))&
(![X]:... | funny(lucy) | [
"p1",
"p3",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5740311794316244755552623
% SZS output start Proof for 5740311794316244755552623
2. ! [X0] : (~wise(X0) => (old(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (curious(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((funny(X0) | tall(X0)) => (humble(X0) <~> curious... | 0 |
Everyone who is both strong and not generous is both kind and old and vice versa.
Everyone who is both brave and calm is both not old and not curious.
If someone is not old or not curious then mary is both wise and tall and vice versa.
If someone is both patient and calm then paul is both not quiet and wise and vice ve... | Fred is not calm. | contradiction | (![X]:((strong(X)&~generous(X))<=>(kind(X)&old(X))))&
(![X]:((brave(X)&calm(X))=>(~old(X)&~curious(X))))&
((?[X]:((~old(X)|~curious(X))))<=>((wise(mary)&tall(mary))))&
((?[X]:((patient(X)&calm(X))))<=>((~quiet(paul)&wise(paul))))&
(![X]:((~creative(X)<~>~patient(X))<=>~creative(X)))&
((~curious(alice))=>(?[X]:(~humble(... | ~calm(fred) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7848706835525486821920497
% SZS output start Proof for 7848706835525486821920497
5. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> ~creative(X0)) [input p4]
13. ! [X0] : ((patient(X0) & ~calm(X0)) => (~funny(X0) & calm(X0))) [input p12]
24. ~calm(fred) [input hypothesis]
35. ! [X0] : ((~f... | 0 |
Everyone who is both strong and not wise is either not curious or strong and vice versa.
If someone is quiet then lucy is both not wise and not creative and vice versa.
Everyone who is both not happy and happy is not old or quiet.
Everyone who is not patient is not curious and vice versa.
Everyone who is funny or curio... | Fred is not humble. | entailment | (![X]:((strong(X)&~wise(X))<=>(~curious(X)<~>strong(X))))&
((?[X]:(quiet(X)))<=>((~wise(lucy)&~creative(lucy))))&
(![X]:((~happy(X)&happy(X))=>(~old(X)|quiet(X))))&
(![X]:(~patient(X)<=>~curious(X)))&
(![X]:((funny(X)|curious(X))<=>~humble(X)))&
(![X]:((~wise(X)<~>kind(X))<=>(wise(X)|rich(X))))&
(![X]:((~strong(X)|~qui... | ~humble(fred) | [
"p0",
"p1",
"p4",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1304471867734250781692959
% SZS output start Proof for 1304471867734250781692959
1. ! [X0] : ((~wise(X0) & strong(X0)) <=> (~curious(X0) <~> strong(X0))) [input p0]
2. ? [X0] : quiet(X0) <=> (~creative(lucy) & ~wise(lucy)) [input p1]
5. ! [X0] : ((curious(X0) | funny(X0)) <=> ~humble(X0))... | 0 |
Everyone who is not old is not happy or old and vice versa. If someone is brave or not happy then someone is humble or not wise. Everyone who is not patient or humble is patient and vice versa. If paul is either not old or not quiet then someone is generous and vice versa. Everyone who is strong is not creative or not ... | Paul is not humble. | contradiction | (![X]:(~old(X)<=>(~happy(X)|old(X))))&
((?[X]:((brave(X)|~happy(X))))=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((~patient(X)|humble(X))<=>patient(X)))&
(((~old(paul)<~>~quiet(paul)))<=>(?[X]:(generous(X))))&
(![X]:(strong(X)=>(~creative(X)|~happy(X))))&
(![X]:((~creative(X)&tall(X))<=>rich(X)))&
(((~curious(alice)<~>~wis... | ~humble(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3932556197694784237967876
% SZS output start Proof for 3932556197694784237967876
3. ! [X0] : ((humble(X0) | ~patient(X0)) <=> patient(X0)) [input p2]
24. ~humble(paul) [input hypothesis]
47. ! [X0] : (((humble(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (~humble(X0) & patient(X0)... | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | Lucy is not strong. | neutral | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | ~strong(lucy) | [] | null | 0 |
If alice is both not generous and tall then someone is either not curious or generous. If mary is both rich and not curious then someone is not tall. If someone is not patient then someone is strong or not wise. Everyone who is either humble or quiet is not funny and vice versa. Everyone who is not kind or old is humbl... | Paul is calm. | entailment | (((~generous(alice)&tall(alice)))=>(?[X]:((~curious(X)<~>generous(X)))))&
(((rich(mary)&~curious(mary)))=>(?[X]:(~tall(X))))&
((?[X]:(~patient(X)))=>(?[X]:((strong(X)|~wise(X)))))&
(![X]:((humble(X)<~>quiet(X))<=>~funny(X)))&
(![X]:((~kind(X)|old(X))<=>(humble(X)|old(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~curious(X)|f... | calm(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6696160271910878857750095
% SZS output start Proof for 6696160271910878857750095
17. calm(paul) [input p16]
25. ~calm(paul) [input hypothesis]
135. calm(paul) [cnf transformation 17]
146. ~calm(paul) [cnf transformation 25]
290. 33 <=> calm(paul) [avatar definition]
333. 33 [avatar split ... | 0 |
If someone is not tall or not strong then someone is not wise or not strong.
Everyone who is both funny and not humble is either funny or not creative and vice versa.
Everyone who is both not humble and funny is humble or not patient.
If alice is both not happy and quiet then someone is not tall.
Everyone who is not ki... | Lucy is funny. | entailment | ((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((funny(X)&~humble(X))<=>(funny(X)<~>~creative(X))))&
(![X]:((~humble(X)&funny(X))=>(humble(X)|~patient(X))))&
(((~happy(alice)&quiet(alice)))=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(~rich(X)&rich(X))))&
(((curious(mary)<~>~funny(mary))... | funny(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 96703635243380850622555
% SZS output start Proof for 96703635243380850622555
5. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (rich(X0) & ~rich(X0))) [input p4]
21. ~funny(lucy) [input hypothesis]
44. ! [X0] : (((~funny(X0) | ~kind(X0)) | (~rich(X0) | rich(X0))) & ((rich(X0) & ~rich(X0)) | (funn... | 0 |
If someone is rich or not funny then john is patient or not quiet and vice versa.
If someone is creative or not tall then someone is kind.
Everyone who is both strong and funny is strong or brave.
If mary is both not quiet and curious then alice is either not kind or wise.
Everyone who is either not wise or not curious... | Susan is calm. | entailment | ((?[X]:((rich(X)|~funny(X))))<=>((patient(john)|~quiet(john))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)&funny(X))=>(strong(X)|brave(X))))&
(((~quiet(mary)&curious(mary)))=>((~kind(alice)<~>wise(alice))))&
(![X]:((~wise(X)<~>~curious(X))=>curious(X)))&
(![X]:(~old(X)=>(patient(X)|humble(X... | calm(susan) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2326387127290209730892581
% SZS output start Proof for 2326387127290209730892581
9. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p8]
14. ! [X0] : ((~rich(X0) <~> creative(X0)) <=> (~calm(X0) | humble(X0))) [input p13]
23. ~calm(susan) [input hypothesis]
53. ! [X0] : ((creative(X0) | rich(... | 0 |
Everyone who is not brave or not funny is not old or calm.
Everyone who is not funny is either tall or wise.
Everyone who is not strong is not curious or quiet and vice versa.
If alice is both happy and not wise then someone is not humble and vice versa.
Everyone who is either happy or not rich is creative or not tall.... | Lucy is not tall. | neutral | (![X]:((~brave(X)|~funny(X))=>(~old(X)|calm(X))))&
(![X]:(~funny(X)=>(tall(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~curious(X)|quiet(X))))&
(((happy(alice)&~wise(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | ~tall(lucy) | [] | null | 0 |
Everyone who is either brave or wise is either not humble or strong. If someone is both not strong and not old then paul is kind and vice versa. If someone is rich or not happy then someone is not wise and vice versa. Everyone who is both rich and calm is either curious or strong. If mary is curious or kind then paul i... | Lucy is not old. | entailment | (![X]:((brave(X)<~>wise(X))=>(~humble(X)<~>strong(X))))&
((?[X]:((~strong(X)&~old(X))))<=>(kind(paul)))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lu... | ~old(lucy) | [
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3374344688581990931787145
% SZS output start Proof for 3374344688581990931787145
9. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p8]
13. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p12]
19. old(fred) [input p18]
25. old(lucy) [input hypothesis]
32. ! [X0] ... | 0 |
Everyone who is not humble or happy is not funny.
If someone is happy or not humble then someone is not quiet or not happy and vice versa.
If john is both not strong and quiet then someone is not humble.
If someone is rich or humble then fred is old or not kind.
Everyone who is both not old and calm is both not rich an... | Alice is humble. | contradiction | (![X]:((~humble(X)|happy(X))=>~funny(X)))&
((?[X]:((happy(X)|~humble(X))))<=>(?[X]:((~quiet(X)|~happy(X)))))&
(((~strong(john)&quiet(john)))=>(?[X]:(~humble(X))))&
((?[X]:((rich(X)|humble(X))))=>((old(fred)|~kind(fred))))&
(![X]:((~old(X)&calm(X))<=>(~rich(X)&brave(X))))&
(![X]:((~funny(X)|~happy(X))=>(old(X)<~>~strong... | humble(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4225658327373444188740122
% SZS output start Proof for 4225658327373444188740122
22. ~humble(alice) [input p21]
25. humble(alice) [input hypothesis]
155. ~humble(alice) [cnf transformation 22]
159. humble(alice) [cnf transformation 25]
401. $false [subsumption resolution 159,155]
% SZS ou... | 0 |
Everyone who is both patient and quiet is not curious or not quiet.
If someone is both calm and tall then someone is both tall and funny and vice versa.
If fred is funny then mary is not calm or not wise and vice versa.
Everyone who is not creative is both not funny and rich.
If someone is not kind then fred is not hum... | Lucy is not patient. | neutral | (![X]:((patient(X)&quiet(X))=>(~curious(X)|~quiet(X))))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((tall(X)&funny(X)))))&
((funny(fred))<=>((~calm(mary)|~wise(mary))))&
(![X]:(~creative(X)=>(~funny(X)&rich(X))))&
((?[X]:(~kind(X)))<=>((~humble(fred)|~tall(fred))))&
(![X]:((humble(X)&curious(X))<=>(wise(X)&~humble(X))))&
(![... | ~patient(lucy) | [] | null | 0 |
If lucy is either not old or not strong then someone is rich.
If someone is calm then alice is either not generous or not brave.
Everyone who is brave is not generous and vice versa.
Everyone who is both not creative and not wise is both not generous and wise and vice versa.
Everyone who is both patient and not brave i... | Alice is not kind. | entailment | (((~old(lucy)<~>~strong(lucy)))=>(?[X]:(rich(X))))&
((?[X]:(calm(X)))=>((~generous(alice)<~>~brave(alice))))&
(![X]:(brave(X)<=>~generous(X)))&
(![X]:((~creative(X)&~wise(X))<=>(~generous(X)&wise(X))))&
(![X]:((patient(X)&~brave(X))=>(~humble(X)&~old(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~generous(X)<~>kind(X))))&
(![X... | ~kind(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1839482311124714346778781
% SZS output start Proof for 1839482311124714346778781
24. happy(alice) & ~kind(alice) [input p23]
25. kind(alice) [input hypothesis]
146. ~kind(alice) [cnf transformation 24]
148. kind(alice) [cnf transformation 25]
308. $false [subsumption resolution 148,146]
%... | 0 |
Everyone who is either not calm or not quiet is either not generous or funny.
Everyone who is not old or not kind is not calm.
If someone is both brave and generous then someone is both funny and patient and vice versa.
Everyone who is not calm or not humble is both strong and not old.
If someone is kind then someone i... | Lucy is not brave. | entailment | (![X]:((~calm(X)<~>~quiet(X))=>(~generous(X)<~>funny(X))))&
(![X]:((~old(X)|~kind(X))=>~calm(X)))&
((?[X]:((brave(X)&generous(X))))<=>(?[X]:((funny(X)&patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(strong(X)&~old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~old(X)|humble(X)))))&
(((rich(mary)<~>happy(mary)))<=>(?[X]:(tall(X))))&... | ~brave(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2878151082059436736689010
% SZS output start Proof for 2878151082059436736689010
2. ! [X0] : ((~kind(X0) | ~old(X0)) => ~calm(X0)) [input p1]
4. ! [X0] : ((~humble(X0) | ~calm(X0)) => (~old(X0) & strong(X0))) [input p3]
6. (rich(mary) <~> happy(mary)) <=> ? [X0] : tall(X0) [input p5]
7. !... | 0 |
If john is both humble and not creative then paul is either not rich or happy and vice versa. If someone is kind then john is not strong or not quiet. Everyone who is quiet is either old or not funny. If someone is both quiet and not kind then paul is either not wise or patient and vice versa. Everyone who is either ge... | Susan is not old. | neutral | (((humble(john)&~creative(john)))<=>((~rich(paul)<~>happy(paul))))&
((?[X]:(kind(X)))=>((~strong(john)|~quiet(john))))&
(![X]:(quiet(X)=>(old(X)<~>~funny(X))))&
((?[X]:((quiet(X)&~kind(X))))<=>((~wise(paul)<~>patient(paul))))&
(![X]:((generous(X)<~>patient(X))=>(strong(X)|old(X))))&
(((quiet(mary)<~>funny(mary)))<=>(?[... | ~old(susan) | [] | null | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Alice is old. | contradiction | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | old(alice) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2622394680072856855381512
% SZS output start Proof for 2622394680072856855381512
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
6. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p5]
9. ! [X0] : (~curious(X0) <=> (humble(X0) | ~kind(X0))) [input p... | 0 |
If someone is not calm or strong then susan is either not tall or quiet and vice versa.
If someone is not humble then fred is not tall.
If fred is both not patient and tall then someone is not old or kind.
Everyone who is not calm or curious is not happy.
Everyone who is not funny or not humble is humble and vice versa... | Paul is not brave. | contradiction | ((?[X]:((~calm(X)|strong(X))))<=>((~tall(susan)<~>quiet(susan))))&
((?[X]:(~humble(X)))=>(~tall(fred)))&
(((~patient(fred)&tall(fred)))=>(?[X]:((~old(X)|kind(X)))))&
(![X]:((~calm(X)|curious(X))=>~happy(X)))&
(![X]:((~funny(X)|~humble(X))<=>humble(X)))&
((?[X]:(~kind(X)))=>(?[X]:((brave(X)&~creative(X)))))&
((?[X]:((~c... | ~brave(paul) | [
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8982103077757901445849877
% SZS output start Proof for 8982103077757901445849877
4. ! [X0] : ((curious(X0) | ~calm(X0)) => ~happy(X0)) [input p3]
5. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> humble(X0)) [input p4]
9. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (~happy(X0) | ~brave(X0))) [inp... | 0 |
If john is both patient and tall then someone is not old and vice versa.
Everyone who is both strong and tall is either not quiet or old and vice versa.
Everyone who is calm is either humble or not quiet.
Everyone who is either not quiet or not kind is not quiet or not humble.
Everyone who is brave or rich is both not ... | Lucy is quiet. | contradiction | (((patient(john)&tall(john)))<=>(?[X]:(~old(X))))&
(![X]:((strong(X)&tall(X))<=>(~quiet(X)<~>old(X))))&
(![X]:(calm(X)=>(humble(X)<~>~quiet(X))))&
(![X]:((~quiet(X)<~>~kind(X))=>(~quiet(X)|~humble(X))))&
(![X]:((brave(X)|rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((humble(X)|~generous(X))<=>(strong(X)<~>~creative(X)))... | quiet(lucy) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8495812189428671913775633
% SZS output start Proof for 8495812189428671913775633
9. ! [X0] : (strong(X0) => (~quiet(X0) | ~strong(X0))) [input p8]
13. ! [X0] : ((~humble(X0) | ~strong(X0)) => (generous(X0) & ~generous(X0))) [input p12]
24. quiet(lucy) [input hypothesis]
31. ! [X0] : ((~qu... | 0 |
If someone is both curious and not tall then someone is either funny or not old and vice versa. Everyone who is either not quiet or brave is funny and vice versa. If someone is both happy and old then john is both not quiet and humble and vice versa. Everyone who is either not funny or curious is both not rich and stro... | John is rich. | entailment | ((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>funny(X)))&
((?[X]:((happy(X)&old(X))))<=>((~quiet(john)&humble(john))))&
(![X]:((~funny(X)<~>curious(X))=>(~rich(X)&strong(X))))&
(![X]:((calm(X)&old(X))<=>(~curious(X)&funny(X))))&
(((kind(paul)|humble(paul)))<=>((~wise(... | rich(john) | [
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8279866720589053373766097
% SZS output start Proof for 8279866720589053373766097
12. ! [X0] : ((rich(X0) | wise(X0)) => rich(X0)) [input p11]
23. wise(john) & patient(john) [input p22]
25. ~rich(john) [input hypothesis]
34. ! [X0] : (rich(X0) | (~rich(X0) & ~wise(X0))) [ennf transformatio... | 0 |
Everyone who is not kind is either not wise or funny.
If someone is not curious or not kind then alice is either not patient or quiet.
Everyone who is either not wise or brave is either not rich or kind and vice versa.
If paul is not brave then susan is either funny or not calm.
Everyone who is not humble or calm is bo... | Alice is rich. | neutral | (![X]:(~kind(X)=>(~wise(X)<~>funny(X))))&
((?[X]:((~curious(X)|~kind(X))))=>((~patient(alice)<~>quiet(alice))))&
(![X]:((~wise(X)<~>brave(X))<=>(~rich(X)<~>kind(X))))&
((~brave(paul))=>((funny(susan)<~>~calm(susan))))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)&~kind(X))))&
(((~curious(susan)<~>happy(susan)))<=>(?[X]:((~w... | rich(alice) | [] | null | 0 |
Everyone who is calm or not generous is both humble and not quiet and vice versa.
Everyone who is kind is curious or not rich.
If someone is curious or funny then someone is both not generous and not wise.
If someone is humble or strong then susan is either not wise or kind.
If mary is either not creative or not brave ... | Susan is calm. | neutral | (![X]:((calm(X)|~generous(X))<=>(humble(X)&~quiet(X))))&
(![X]:(kind(X)=>(curious(X)|~rich(X))))&
((?[X]:((curious(X)|funny(X))))=>(?[X]:((~generous(X)&~wise(X)))))&
((?[X]:((humble(X)|strong(X))))=>((~wise(susan)<~>kind(susan))))&
(((~creative(mary)<~>~brave(mary)))=>((rich(mary)<~>~patient(mary))))&
(((~patient(lucy)... | calm(susan) | [] | null | 0 |
If mary is either curious or not tall then john is either curious or happy.
Everyone who is not quiet is not old and vice versa.
Everyone who is not calm is both creative and tall.
If someone is both not tall and not generous then someone is either calm or not quiet.
If someone is both creative and old then someone is ... | Alice is calm. | entailment | (((curious(mary)<~>~tall(mary)))=>((curious(john)<~>happy(john))))&
(![X]:(~quiet(X)<=>~old(X)))&
(![X]:(~calm(X)=>(creative(X)&tall(X))))&
((?[X]:((~tall(X)&~generous(X))))=>(?[X]:((calm(X)<~>~quiet(X)))))&
((?[X]:((creative(X)&old(X))))<=>(?[X]:(funny(X))))&
(![X]:((curious(X)|kind(X))<=>(kind(X)<~>tall(X))))&
(![X]:... | calm(alice) | [
"p1",
"p2",
"p5",
"p7",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6566234282920340970410733
% SZS output start Proof for 6566234282920340970410733
2. ! [X0] : (~quiet(X0) <=> ~old(X0)) [input p1]
3. ! [X0] : (~calm(X0) => (tall(X0) & creative(X0))) [input p2]
6. ! [X0] : ((kind(X0) | curious(X0)) <=> (kind(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((ric... | 0 |
If paul is calm or not kind then alice is not wise or not strong. If someone is not generous or old then someone is both calm and rich and vice versa. If alice is either wise or quiet then john is not rich or not kind and vice versa. Everyone who is rich or funny is either not calm or not old. If alice is not curious o... | Lucy is not calm. | entailment | (((calm(paul)|~kind(paul)))=>((~wise(alice)|~strong(alice))))&
((?[X]:((~generous(X)|old(X))))<=>(?[X]:((calm(X)&rich(X)))))&
(((wise(alice)<~>quiet(alice)))<=>((~rich(john)|~kind(john))))&
(![X]:((rich(X)|funny(X))=>(~calm(X)<~>~old(X))))&
(((~curious(alice)|~wise(alice)))=>((~creative(paul)|~patient(paul))))&
(![X]:(... | ~calm(lucy) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1105755137894413788218393
% SZS output start Proof for 1105755137894413788218393
13. calm(lucy) <=> (~kind(fred) & happy(fred)) [input p12]
21. humble(fred) & kind(fred) [input p20]
24. calm(lucy) [input hypothesis]
27. kind(fred) [pure predicate removal 21]
62. (calm(lucy) | (kind(fred) ... | 0 |
Everyone who is either not kind or old is not patient or happy and vice versa.
If paul is either not curious or funny then someone is either not brave or happy.
Everyone who is either brave or not brave is both not kind and not humble.
If john is both not quiet and not curious then someone is not wise.
Everyone who is ... | Mary is curious. | entailment | (![X]:((~kind(X)<~>old(X))<=>(~patient(X)|happy(X))))&
(((~curious(paul)<~>funny(paul)))=>(?[X]:((~brave(X)<~>happy(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(~kind(X)&~humble(X))))&
(((~quiet(john)&~curious(john)))=>(?[X]:(~wise(X))))&
(![X]:(creative(X)<=>(funny(X)|humble(X))))&
((?[X]:((funny(X)&~kind(X))))=>(?[X]:((wi... | curious(mary) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6288138885175156484234994
% SZS output start Proof for 6288138885175156484234994
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~humble(X0) & ~kind(X0))) [input p2]
9. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (quiet(X0) & ~kind(X0))) [input p8]
10. ! [X0] : ((~curious(X0) | ~strong(X0)) => (~... | 0 |
Everyone who is either patient or curious is strong or not quiet.
Everyone who is either brave or not rich is both quiet and not old.
If john is either not old or not wise then alice is either not happy or not quiet and vice versa.
Everyone who is both generous and humble is both happy and old and vice versa.
If someon... | Paul is funny. | neutral | (![X]:((patient(X)<~>curious(X))=>(strong(X)|~quiet(X))))&
(![X]:((brave(X)<~>~rich(X))=>(quiet(X)&~old(X))))&
(((~old(john)<~>~wise(john)))<=>((~happy(alice)<~>~quiet(alice))))&
(![X]:((generous(X)&humble(X))<=>(happy(X)&old(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((~kind(X... | funny(paul) | [] | null | 0 |
If someone is either funny or rich then someone is either not humble or not curious and vice versa. Everyone who is both patient and wise is either calm or not quiet and vice versa. If someone is rich or wise then lucy is not patient or not wise. If susan is both not brave and curious then alice is both not quiet and n... | Mary is not wise. | contradiction | ((?[X]:((funny(X)<~>rich(X))))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((patient(X)&wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:((rich(X)|wise(X))))=>((~patient(lucy)|~wise(lucy))))&
(((~brave(susan)&curious(susan)))=>((~quiet(alice)&~brave(alice))))&
(![X]:((~generous(X)<~>~curious(X))=>(strong(X)<~>~quiet(X))))&... | ~wise(mary) | [
"p1",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2073562524256796978971903
% SZS output start Proof for 2073562524256796978971903
2. ! [X0] : ((wise(X0) & patient(X0)) <=> (calm(X0) <~> ~quiet(X0))) [input p1]
8. ! [X0] : (~tall(X0) <=> (calm(X0) <~> patient(X0))) [input p7]
14. ! [X0] : (~tall(X0) <=> (~calm(X0) & wise(X0))) [input p13... | 0 |
If someone is wise then someone is not happy or patient and vice versa.
Everyone who is not patient or funny is not patient.
Everyone who is not wise is not quiet or not rich.
Everyone who is either old or calm is quiet and vice versa.
Everyone who is creative or not creative is not tall and vice versa.
If fred is not ... | Fred is quiet. | neutral | ((?[X]:(wise(X)))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~patient(X)|funny(X))=>~patient(X)))&
(![X]:(~wise(X)=>(~quiet(X)|~rich(X))))&
(![X]:((old(X)<~>calm(X))<=>quiet(X)))&
(![X]:((creative(X)|~creative(X))<=>~tall(X)))&
((~brave(fred))=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((curious(X)|~rich(X))=>(~humble(X)... | quiet(fred) | [] | null | 0 |
Everyone who is not humble is both not tall and not creative and vice versa.
If someone is calm or not creative then mary is patient or strong.
If paul is not tall or patient then someone is either not funny or humble.
Everyone who is not wise is either not brave or not humble and vice versa.
Everyone who is humble is ... | Susan is creative. | entailment | (![X]:(~humble(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>((patient(mary)|strong(mary))))&
(((~tall(paul)|patient(paul)))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:(humble(X)=>(~creative(X)<~>~wise(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~old(X)&calm... | creative(susan) | [
"p1",
"p5",
"p8",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6698729505786647949728635
% SZS output start Proof for 6698729505786647949728635
2. ? [X0] : (~creative(X0) | calm(X0)) => (strong(mary) | patient(mary)) [input p1]
6. ! [X0] : ((~generous(X0) <~> kind(X0)) => (calm(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (g... | 0 |
Everyone who is either not rich or tall is either tall or not old.
If john is patient then susan is humble.
If mary is both not curious and not tall then lucy is rich or not old and vice versa.
If someone is generous or curious then someone is both not tall and not humble and vice versa.
Everyone who is both not funny ... | Mary is quiet. | contradiction | (![X]:((~rich(X)<~>tall(X))=>(tall(X)<~>~old(X))))&
((patient(john))=>(humble(susan)))&
(((~curious(mary)&~tall(mary)))<=>((rich(lucy)|~old(lucy))))&
((?[X]:((generous(X)|curious(X))))<=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:((~funny(X)&~patient(X))=>(~old(X)&humble(X))))&
(((funny(john)<~>creative(john)))<=>((wise(pa... | quiet(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 987302323628475566638361
% SZS output start Proof for 987302323628475566638361
20. ~quiet(mary) [input p19]
25. quiet(mary) [input hypothesis]
127. ~quiet(mary) [cnf transformation 20]
134. quiet(mary) [cnf transformation 25]
310. $false [subsumption resolution 134,127]
% SZS output end P... | 0 |
Everyone who is tall is not humble.
Everyone who is happy or not curious is either generous or not calm.
Everyone who is curious is wise or not curious.
Everyone who is wise is either not rich or not wise.
Everyone who is both creative and not patient is both calm and not generous.
Everyone who is both not old and old ... | Susan is not humble. | neutral | (![X]:(tall(X)=>~humble(X)))&
(![X]:((happy(X)|~curious(X))=>(generous(X)<~>~calm(X))))&
(![X]:(curious(X)=>(wise(X)|~curious(X))))&
(![X]:(wise(X)=>(~rich(X)<~>~wise(X))))&
(![X]:((creative(X)&~patient(X))=>(calm(X)&~generous(X))))&
(![X]:((~old(X)&old(X))=>~humble(X)))&
(![X]:((brave(X)&calm(X))=>(~old(X)<~>~patient(... | ~humble(susan) | [] | null | 0 |
Everyone who is either kind or happy is patient.
If someone is both wise and curious then someone is calm or creative and vice versa.
If lucy is both brave and calm then someone is rich and vice versa.
Everyone who is not quiet or not strong is either not old or wise and vice versa.
If john is either not kind or brave ... | John is not humble. | neutral | (![X]:((kind(X)<~>happy(X))=>patient(X)))&
((?[X]:((wise(X)&curious(X))))<=>(?[X]:((calm(X)|creative(X)))))&
(((brave(lucy)&calm(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(~old(X)<~>wise(X))))&
(((~kind(john)<~>brave(john)))<=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((old(X)&wise(X))=>(~old(X)<~>bra... | ~humble(john) | [] | null | 0 |
Everyone who is both not rich and not generous is not rich or wise. Everyone who is either not humble or kind is both wise and humble and vice versa. If susan is not brave or strong then someone is both wise and not strong and vice versa. Everyone who is not calm is not old and vice versa. Everyone who is both not quie... | Mary is not humble. | neutral | (![X]:((~rich(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(wise(X)&humble(X))))&
(((~brave(susan)|strong(susan)))<=>(?[X]:((wise(X)&~strong(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:((~quiet(X)&creative(X))=>(tall(X)|strong(X))))&
(((curious(mary)|tall(mary)))=>(~old(lucy)))&
(((calm(paul)|... | ~humble(mary) | [] | null | 0 |
Everyone who is either patient or calm is both creative and not quiet and vice versa. Everyone who is both not tall and not curious is either not kind or not brave. Everyone who is not tall is not quiet and vice versa. Everyone who is creative is old or creative and vice versa. If paul is not generous or patient then s... | Susan is not calm. | neutral | (![X]:((patient(X)<~>calm(X))<=>(creative(X)&~quiet(X))))&
(![X]:((~tall(X)&~curious(X))=>(~kind(X)<~>~brave(X))))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:(creative(X)<=>(old(X)|creative(X))))&
(((~generous(paul)|patient(paul)))<=>(?[X]:((~happy(X)&rich(X)))))&
((?[X]:((~curious(X)|~rich(X))))<=>(?[X]:(funny(X))))&
((?[X... | ~calm(susan) | [] | null | 0 |
Everyone who is not happy is brave. Everyone who is both old and not old is strong or curious and vice versa. If someone is both happy and not calm then alice is quiet and vice versa. Everyone who is wise is both curious and not rich. Everyone who is both old and humble is both quiet and not tall and vice versa. Everyo... | Mary is not happy. | neutral | (![X]:(~happy(X)=>brave(X)))&
(![X]:((old(X)&~old(X))<=>(strong(X)|curious(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(quiet(alice)))&
(![X]:(wise(X)=>(curious(X)&~rich(X))))&
(![X]:((old(X)&humble(X))<=>(quiet(X)&~tall(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~humble(X)&strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~cu... | ~happy(mary) | [] | null | 0 |
If mary is both not patient and not tall then someone is either strong or calm. Everyone who is not humble or not tall is patient. If someone is generous or wise then mary is both not creative and patient and vice versa. If someone is both not happy and humble then someone is not rich or generous. If mary is not curiou... | Alice is brave. | neutral | (((~patient(mary)&~tall(mary)))=>(?[X]:((strong(X)<~>calm(X)))))&
(![X]:((~humble(X)|~tall(X))=>patient(X)))&
((?[X]:((generous(X)|wise(X))))<=>((~creative(mary)&patient(mary))))&
((?[X]:((~happy(X)&humble(X))))=>(?[X]:((~rich(X)|generous(X)))))&
(((~curious(mary)|~funny(mary)))=>(?[X]:(~creative(X))))&
(![X]:((~creati... | brave(alice) | [] | null | 0 |
Everyone who is not kind is either not calm or brave and vice versa. Everyone who is not patient is not strong or not wise and vice versa. If paul is either not quiet or not strong then someone is both not kind and happy. Everyone who is not funny or old is either happy or not happy. If someone is not creative or not h... | Fred is not tall. | neutral | (![X]:(~kind(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(~patient(X)<=>(~strong(X)|~wise(X))))&
(((~quiet(paul)<~>~strong(paul)))=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:((~funny(X)|old(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(su... | ~tall(fred) | [] | null | 0 |
If alice is both old and not humble then someone is either not creative or not generous and vice versa.
If someone is brave or not wise then someone is both generous and calm.
Everyone who is both strong and not strong is generous and vice versa.
Everyone who is not wise or humble is rich or not strong.
Everyone who is... | Paul is not quiet. | contradiction | (((old(alice)&~humble(alice)))<=>(?[X]:((~creative(X)<~>~generous(X)))))&
((?[X]:((brave(X)|~wise(X))))=>(?[X]:((generous(X)&calm(X)))))&
(![X]:((strong(X)&~strong(X))<=>generous(X)))&
(![X]:((~wise(X)|humble(X))=>(rich(X)|~strong(X))))&
(![X]:((~tall(X)|old(X))=>(funny(X)<~>tall(X))))&
(![X]:((brave(X)|creative(X))<=>... | ~quiet(paul) | [
"p0",
"p1",
"p2",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7176691832991715780174692
% SZS output start Proof for 7176691832991715780174692
1. (~humble(alice) & old(alice)) <=> ? [X0] : (~creative(X0) <~> ~generous(X0)) [input p0]
2. ? [X0] : (~wise(X0) | brave(X0)) => ? [X0] : (calm(X0) & generous(X0)) [input p1]
3. ! [X0] : ((~strong(X0) & stro... | 0 |
Everyone who is either generous or not creative is both not old and not patient. If someone is creative then susan is not tall. If alice is either not brave or patient then someone is either kind or not creative and vice versa. If lucy is humble or not patient then paul is either old or happy. Everyone who is both quie... | Alice is happy. | entailment | (![X]:((generous(X)<~>~creative(X))=>(~old(X)&~patient(X))))&
((?[X]:(creative(X)))=>(~tall(susan)))&
(((~brave(alice)<~>patient(alice)))<=>(?[X]:((kind(X)<~>~creative(X)))))&
(((humble(lucy)|~patient(lucy)))=>((old(paul)<~>happy(paul))))&
(![X]:((quiet(X)&~kind(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:(~tall(X)<=>strong... | happy(alice) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7380795207227689315839984
% SZS output start Proof for 7380795207227689315839984
1. ! [X0] : ((generous(X0) <~> ~creative(X0)) => (~patient(X0) & ~old(X0))) [input p0]
3. (~brave(alice) <~> patient(alice)) <=> ? [X0] : (kind(X0) <~> ~creative(X0)) [input p2]
4. (~patient(lucy) | humble(lu... | 0 |
Everyone who is either not happy or not curious is either calm or old and vice versa. Everyone who is either not brave or generous is tall or not rich. Everyone who is both not curious and patient is both patient and curious and vice versa. If paul is not happy or not curious then someone is either not funny or strong.... | Alice is not calm. | neutral | (![X]:((~happy(X)<~>~curious(X))<=>(calm(X)<~>old(X))))&
(![X]:((~brave(X)<~>generous(X))=>(tall(X)|~rich(X))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((bra... | ~calm(alice) | [] | null | 0 |
If john is both not old and not calm then susan is either not quiet or generous.
Everyone who is not quiet or not curious is not wise and vice versa.
Everyone who is curious or old is not creative or wise and vice versa.
If susan is either calm or not brave then someone is patient or not tall.
If someone is both old an... | John is calm. | neutral | (((~old(john)&~calm(john)))=>((~quiet(susan)<~>generous(susan))))&
(![X]:((~quiet(X)|~curious(X))<=>~wise(X)))&
(![X]:((curious(X)|old(X))<=>(~creative(X)|wise(X))))&
(((calm(susan)<~>~brave(susan)))=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((old(X)&~kind(X))))=>(~generous(mary)))&
(![X]:((~brave(X)&kind(X))<=>(creativ... | calm(john) | [] | null | 0 |
Everyone who is calm or not brave is either patient or old and vice versa. If fred is strong or old then someone is not kind. Everyone who is both not brave and not humble is both not calm and strong. Everyone who is either not curious or funny is both curious and creative and vice versa. Everyone who is both not kind ... | Susan is not tall. | entailment | (![X]:((calm(X)|~brave(X))<=>(patient(X)<~>old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative(X))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)&humble(X))))&
(![X]:(patient(X)<=>(brave(X)&~quiet(X))))... | ~tall(susan) | [
"p8",
"p9",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2380860086961219012171413
% SZS output start Proof for 2380860086961219012171413
9. ? [X0] : (strong(X0) <~> tall(X0)) => humble(alice) [input p8]
10. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (rich(X0) | old(X0))) [input p9]
14. (funny(alice) & ~humble(alice)) <=> ? [X0] : ~curious(X0) [i... | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | Fred is brave. | contradiction | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | brave(fred) | [
"p0",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4755397265788869249218959
% SZS output start Proof for 4755397265788869249218959
1. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (calm(X0) | ~kind(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | tall(X0)) => (~happy(X0) & strong(X0))) [input p5]
13. ! [X0] : ((~wise(X0) | ~kind(X0)) => (tall(X0)... | 0 |
Everyone who is creative or calm is either creative or not wise.
Everyone who is not tall is kind.
Everyone who is either creative or not curious is either not kind or funny and vice versa.
Everyone who is not humble or not happy is strong and vice versa.
Everyone who is not calm or generous is either not generous or c... | Lucy is creative. | entailment | (![X]:((creative(X)|calm(X))=>(creative(X)<~>~wise(X))))&
(![X]:(~tall(X)=>kind(X)))&
(![X]:((creative(X)<~>~curious(X))<=>(~kind(X)<~>funny(X))))&
(![X]:((~humble(X)|~happy(X))<=>strong(X)))&
(![X]:((~calm(X)|generous(X))<=>(~generous(X)<~>curious(X))))&
(((~brave(fred)|humble(fred)))<=>(?[X]:((~funny(X)&~humble(X))))... | creative(lucy) | [
"p0",
"p4",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4745683978904158056199052
% SZS output start Proof for 4745683978904158056199052
1. ! [X0] : ((calm(X0) | creative(X0)) => (creative(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~generous(X0) <~> curious(X0))) [input p4]
8. ! [X0] : ((curious(X0) | generous(... | 0 |
Everyone who is calm is not happy. Everyone who is either not quiet or quiet is both humble and not quiet. Everyone who is not kind is either brave or kind. Everyone who is either not tall or wise is either humble or not wise. Everyone who is not happy or kind is not calm or humble. Everyone who is not kind or humble i... | John is not happy. | entailment | (![X]:(calm(X)=>~happy(X)))&
(![X]:((~quiet(X)<~>quiet(X))=>(humble(X)&~quiet(X))))&
(![X]:(~kind(X)=>(brave(X)<~>kind(X))))&
(![X]:((~tall(X)<~>wise(X))=>(humble(X)<~>~wise(X))))&
(![X]:((~happy(X)|kind(X))=>(~calm(X)|humble(X))))&
(![X]:((~kind(X)|humble(X))<=>(funny(X)&creative(X))))&
(((old(lucy)<~>wise(lucy)))<=>(... | ~happy(john) | [
"p0",
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7777258188462267975904933
% SZS output start Proof for 7777258188462267975904933
1. ! [X0] : (calm(X0) => ~happy(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (~quiet(X0) & humble(X0))) [input p1]
6. ! [X0] : ((humble(X0) | ~kind(X0)) <=> (creative(X0) & funny(X0))) [input p5... | 0 |
If paul is rich then lucy is wise and vice versa.
Everyone who is old is not creative.
If someone is brave or rich then paul is either not creative or old.
Everyone who is both not creative and not rich is both not curious and generous and vice versa.
Everyone who is either funny or creative is either not funny or not ... | Susan is curious. | entailment | ((rich(paul))<=>(wise(lucy)))&
(![X]:(old(X)=>~creative(X)))&
((?[X]:((brave(X)|rich(X))))=>((~creative(paul)<~>old(paul))))&
(![X]:((~creative(X)&~rich(X))<=>(~curious(X)&generous(X))))&
(![X]:((funny(X)<~>creative(X))=>(~funny(X)<~>~curious(X))))&
(![X]:((~old(X)<~>~curious(X))<=>humble(X)))&
(((~rich(john)<~>~old(jo... | curious(susan) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 700198738614894013229970
% SZS output start Proof for 700198738614894013229970
1. rich(paul) <=> wise(lucy) [input p0]
2. ! [X0] : (old(X0) => ~creative(X0)) [input p1]
3. ? [X0] : (rich(X0) | brave(X0)) => (~creative(paul) <~> old(paul)) [input p2]
5. ! [X0] : ((funny(X0) <~> creative(X0... | 0 |
If someone is either not patient or not creative then someone is not tall.
Everyone who is not strong or not calm is either old or generous.
If fred is either kind or not happy then mary is not patient or not funny and vice versa.
If someone is not strong then someone is not old.
Everyone who is not strong is either ol... | Fred is not kind. | entailment | ((?[X]:((~patient(X)<~>~creative(X))))=>(?[X]:(~tall(X))))&
(![X]:((~strong(X)|~calm(X))=>(old(X)<~>generous(X))))&
(((kind(fred)<~>~happy(fred)))<=>((~patient(mary)|~funny(mary))))&
((?[X]:(~strong(X)))=>(?[X]:(~old(X))))&
(![X]:(~strong(X)<=>(old(X)<~>~rich(X))))&
(![X]:((brave(X)|quiet(X))<=>kind(X)))&
(![X]:((~tall... | ~kind(fred) | [
"p5",
"p6",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 760275949926434023872535
% SZS output start Proof for 760275949926434023872535
6. ! [X0] : ((quiet(X0) | brave(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((~funny(X0) | ~tall(X0)) => ~kind(X0)) [input p6]
10. ! [X0] : (~humble(X0) <=> (kind(X0) | happy(X0))) [input p9]
12. ~wise(fred) <=> ... | 0 |
If lucy is both not happy and strong then john is patient.
Everyone who is not generous is curious and vice versa.
Everyone who is not strong or old is both funny and not tall.
Everyone who is not creative or not brave is both tall and curious and vice versa.
Everyone who is both funny and not patient is either rich or... | Lucy is brave. | entailment | (((~happy(lucy)&strong(lucy)))=>(patient(john)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((~generous(X)|funny(X))))<=>(?[X]:(funny(X))))&
(![X]:((~old(... | brave(lucy) | [
"p2",
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1997846093721019789991048
% SZS output start Proof for 1997846093721019789991048
3. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p2]
4. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (curious(X0) & tall(X0))) [input p3]
8. ! [X0] : ((tall(X0) & curious(X0)) => (creativ... | 0 |
If alice is both not rich and kind then someone is both not old and tall and vice versa.
Everyone who is not creative is not strong and vice versa.
If mary is either rich or humble then someone is either brave or not generous.
If john is not happy then john is brave and vice versa.
If mary is either patient or wise the... | Paul is not brave. | contradiction | (((~rich(alice)&kind(alice)))<=>(?[X]:((~old(X)&tall(X)))))&
(![X]:(~creative(X)<=>~strong(X)))&
(((rich(mary)<~>humble(mary)))=>(?[X]:((brave(X)<~>~generous(X)))))&
((~happy(john))<=>(brave(john)))&
(((patient(mary)<~>wise(mary)))=>((brave(fred)|~generous(fred))))&
(![X]:(~curious(X)=>(tall(X)<~>strong(X))))&
(![X]:((... | ~brave(paul) | [
"p7",
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 84623456879827079922429
% SZS output start Proof for 84623456879827079922429
8. ! [X0] : ((~generous(X0) | ~wise(X0)) <=> (humble(X0) | ~strong(X0))) [input p7]
9. (~generous(paul) & rich(paul)) <=> ? [X0] : ~humble(X0) [input p8]
12. ! [X0] : ((~wise(X0) | old(X0)) => (generous(X0) <~> h... | 0 |
If someone is wise or kind then someone is brave or strong.
Everyone who is not funny is both not funny and tall and vice versa.
If someone is tall or kind then someone is both humble and not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and no... | Paul is generous. | entailment | ((?[X]:((wise(X)|kind(X))))=>(?[X]:((brave(X)|strong(X)))))&
(![X]:(~funny(X)<=>(~funny(X)&tall(X))))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:((humble(X)&~kind(X)))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creat... | generous(paul) | [
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6441098477817855261947168
% SZS output start Proof for 6441098477817855261947168
6. ! [X0] : ((strong(X0) | tall(X0)) => (~patient(X0) & generous(X0))) [input p5]
13. ! [X0] : ((humble(X0) & strong(X0)) <=> (~brave(X0) | old(X0))) [input p12]
19. old(paul) & calm(paul) [input p18]
22. ~ge... | 0 |
Everyone who is either calm or not patient is brave and vice versa.
Everyone who is both not calm and rich is not happy or old and vice versa.
If someone is not tall then someone is creative or not rich.
Everyone who is either generous or not funny is both not quiet and curious.
Everyone who is either not old or not cu... | Alice is not strong. | neutral | (![X]:((calm(X)<~>~patient(X))<=>brave(X)))&
(![X]:((~calm(X)&rich(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((generous(X)<~>~funny(X))=>(~quiet(X)&curious(X))))&
(![X]:((~old(X)<~>~curious(X))<=>patient(X)))&
((?[X]:(patient(X)))<=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((... | ~strong(alice) | [] | null | 0 |
If mary is strong then fred is both not strong and not kind.
If someone is old or not brave then fred is patient.
Everyone who is humble or quiet is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is n... | Susan is not old. | neutral | ((strong(mary))=>((~strong(fred)&~kind(fred))))&
((?[X]:((old(X)|~brave(X))))=>(patient(fred)))&
(![X]:((humble(X)|quiet(X))<=>~patient(X)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X... | ~old(susan) | [] | null | 0 |
Everyone who is not old is curious or quiet and vice versa.
Everyone who is both patient and not brave is patient or not quiet and vice versa.
Everyone who is old or not humble is not happy.
Everyone who is not quiet is not kind or not patient.
If alice is both old and calm then someone is both not humble and not tall.... | Alice is not calm. | entailment | (![X]:(~old(X)<=>(curious(X)|quiet(X))))&
(![X]:((patient(X)&~brave(X))<=>(patient(X)|~quiet(X))))&
(![X]:((old(X)|~humble(X))=>~happy(X)))&
(![X]:(~quiet(X)=>(~kind(X)|~patient(X))))&
(((old(alice)&calm(alice)))=>(?[X]:((~humble(X)&~tall(X)))))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(ali... | ~calm(alice) | [
"p0",
"p1",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5536812309242036150221161
% SZS output start Proof for 5536812309242036150221161
1. ! [X0] : (~old(X0) <=> (quiet(X0) | curious(X0))) [input p0]
2. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~quiet(X0) | patient(X0))) [input p1]
12. ! [X0] : ((curious(X0) | ~patient(X0)) <=> (old(X0) <~> ~... | 0 |
Everyone who is old is both not humble and kind and vice versa.
Everyone who is not humble or strong is patient or creative.
Everyone who is both not kind and patient is not funny or patient and vice versa.
Everyone who is both not wise and old is either tall or not quiet.
Everyone who is not kind is either rich or qui... | Alice is happy. | contradiction | (![X]:(old(X)<=>(~humble(X)&kind(X))))&
(![X]:((~humble(X)|strong(X))=>(patient(X)|creative(X))))&
(![X]:((~kind(X)&patient(X))<=>(~funny(X)|patient(X))))&
(![X]:((~wise(X)&old(X))=>(tall(X)<~>~quiet(X))))&
(![X]:(~kind(X)<=>(rich(X)<~>quiet(X))))&
(![X]:((rich(X)<~>quiet(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:(~patien... | happy(alice) | [
"p1",
"p2",
"p6",
"p7",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2105292804604834879811033
% SZS output start Proof for 2105292804604834879811033
2. ! [X0] : ((strong(X0) | ~humble(X0)) => (creative(X0) | patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
7. ! [X0] : (~patient(X0) => (humble(X0) <... | 0 |
Everyone who is humble or brave is funny. If susan is not curious or not old then someone is either curious or not old and vice versa. If mary is both tall and not happy then fred is strong and vice versa. Everyone who is either brave or curious is both not patient and brave and vice versa. If someone is quiet or brave... | John is not kind. | neutral | (![X]:((humble(X)|brave(X))=>funny(X)))&
(((~curious(susan)|~old(susan)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(((tall(mary)&~happy(mary)))<=>(strong(fred)))&
(![X]:((brave(X)<~>curious(X))<=>(~patient(X)&brave(X))))&
((?[X]:((quiet(X)|brave(X))))<=>((~funny(fred)|~strong(fred))))&
(((~kind(susan)&funny(susan)))<=>(?[X]... | ~kind(john) | [] | null | 0 |
Everyone who is both not happy and not generous is not kind or not quiet and vice versa.
Everyone who is either tall or not rich is either quiet or not brave and vice versa.
Everyone who is not curious or curious is either not generous or rich and vice versa.
Everyone who is either not tall or not quiet is both quiet a... | Paul is calm. | entailment | (![X]:((~happy(X)&~generous(X))<=>(~kind(X)|~quiet(X))))&
(![X]:((tall(X)<~>~rich(X))<=>(quiet(X)<~>~brave(X))))&
(![X]:((~curious(X)|curious(X))<=>(~generous(X)<~>rich(X))))&
(![X]:((~tall(X)<~>~quiet(X))=>(quiet(X)&~quiet(X))))&
(![X]:((~calm(X)<~>~old(X))<=>~happy(X)))&
(![X]:((~kind(X)&~funny(X))<=>(strong(X)|gener... | calm(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8719678973984134202802204
% SZS output start Proof for 8719678973984134202802204
1. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> (~quiet(X0) | ~kind(X0))) [input p0]
2. ! [X0] : ((tall(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p1]
3. ! [X0] : ((curious(X0) | ~curious(X0)) <=... | 0 |
If someone is both humble and not generous then someone is either rich or not generous and vice versa.
If lucy is not patient or not kind then fred is funny and vice versa.
Everyone who is both kind and strong is not brave or humble and vice versa.
If fred is either tall or generous then john is both not patient and ta... | Mary is curious. | contradiction | ((?[X]:((humble(X)&~generous(X))))<=>(?[X]:((rich(X)<~>~generous(X)))))&
(((~patient(lucy)|~kind(lucy)))<=>(funny(fred)))&
(![X]:((kind(X)&strong(X))<=>(~brave(X)|humble(X))))&
(((tall(fred)<~>generous(fred)))=>((~patient(john)&tall(john))))&
((?[X]:((tall(X)<~>~creative(X))))<=>((kind(john)&funny(john))))&
(![X]:((~fu... | curious(mary) | [
"p2",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8527386758348663790857412
% SZS output start Proof for 8527386758348663790857412
3. ! [X0] : ((strong(X0) & kind(X0)) <=> (humble(X0) | ~brave(X0))) [input p2]
8. ! [X0] : ((brave(X0) | wise(X0)) => (~curious(X0) <~> ~brave(X0))) [input p7]
18. ~kind(mary) | ~curious(mary) [input p17]
25.... | 0 |
If paul is generous then someone is both old and humble. If someone is not humble then paul is happy or not happy and vice versa. If alice is either not humble or not rich then someone is either patient or tall. Everyone who is either not strong or creative is both not quiet and patient. If paul is either not brave or ... | Fred is not tall. | contradiction | ((generous(paul))=>(?[X]:((old(X)&humble(X)))))&
((?[X]:(~humble(X)))<=>((happy(paul)|~happy(paul))))&
(((~humble(alice)<~>~rich(alice)))=>(?[X]:((patient(X)<~>tall(X)))))&
(![X]:((~strong(X)<~>creative(X))=>(~quiet(X)&patient(X))))&
(((~brave(paul)<~>~tall(paul)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
(((~wise(alice)|ki... | ~tall(fred) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7291146416396712535499593
% SZS output start Proof for 7291146416396712535499593
13. ! [X0] : (calm(X0) <=> (~tall(X0) | calm(X0))) [input p12]
16. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> ~tall(X0)) [input p15]
25. ~tall(fred) [input hypothesis]
69. ! [X0] : ((calm(X0) | (tall(X0) & ~calm... | 0 |
Everyone who is not kind or patient is tall or funny and vice versa.
Everyone who is either strong or tall is both not old and not funny and vice versa.
Everyone who is not strong or not creative is funny or not kind and vice versa.
If paul is either happy or not tall then someone is humble.
Everyone who is either not ... | Lucy is not strong. | contradiction | (![X]:((~kind(X)|patient(X))<=>(tall(X)|funny(X))))&
(![X]:((strong(X)<~>tall(X))<=>(~old(X)&~funny(X))))&
(![X]:((~strong(X)|~creative(X))<=>(funny(X)|~kind(X))))&
(((happy(paul)<~>~tall(paul)))=>(?[X]:(humble(X))))&
(![X]:((~old(X)<~>funny(X))<=>~old(X)))&
(![X]:(~generous(X)<=>(~generous(X)|~patient(X))))&
(![X]:((~... | ~strong(lucy) | [
"p0",
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8916170469224334956332061
% SZS output start Proof for 8916170469224334956332061
1. ! [X0] : ((patient(X0) | ~kind(X0)) <=> (funny(X0) | tall(X0))) [input p0]
3. ! [X0] : ((~creative(X0) | ~strong(X0)) <=> (~kind(X0) | funny(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> funny(X0)) <=> ~old(... | 0 |
Everyone who is both not strong and not curious is tall or not strong.
If susan is calm or curious then paul is both not creative and not old.
If john is not humble then paul is either tall or not rich.
Everyone who is either tall or not rich is either happy or tall.
Everyone who is either not funny or not old is eithe... | Mary is creative. | contradiction | (![X]:((~strong(X)&~curious(X))=>(tall(X)|~strong(X))))&
(((calm(susan)|curious(susan)))=>((~creative(paul)&~old(paul))))&
((~humble(john))=>((tall(paul)<~>~rich(paul))))&
(![X]:((tall(X)<~>~rich(X))=>(happy(X)<~>tall(X))))&
(![X]:((~funny(X)<~>~old(X))=>(rich(X)<~>quiet(X))))&
(![X]:(patient(X)<=>curious(X)))&
((?[X]:... | creative(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1378531607164336796945961
% SZS output start Proof for 1378531607164336796945961
10. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~creative(X0) & curious(X0))) [input p9]
23. creative(mary) [input hypothesis]
36. ! [X0] : ((~creative(X0) & curious(X0)) | (~kind(X0) <=> kind(X0))) [ennf transfor... | 0 |
If someone is humble then mary is not brave. Everyone who is either quiet or creative is either not patient or not kind. Everyone who is strong or kind is either patient or creative and vice versa. If john is not patient then mary is not curious. Everyone who is both not curious and not generous is quiet or funny. If s... | Paul is not kind. | contradiction | ((?[X]:(humble(X)))=>(~brave(mary)))&
(![X]:((quiet(X)<~>creative(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((strong(X)|kind(X))<=>(patient(X)<~>creative(X))))&
((~patient(john))=>(~curious(mary)))&
(![X]:((~curious(X)&~generous(X))=>(quiet(X)|funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((happy(X)<~>~strong(X)))))&... | ~kind(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4821226302668870984547495
% SZS output start Proof for 4821226302668870984547495
17. kind(paul) & tall(paul) [input p16]
25. ~kind(paul) [input hypothesis]
28. kind(paul) [pure predicate removal 17]
124. kind(paul) [cnf transformation 28]
137. ~kind(paul) [cnf transformation 25]
287. $fal... | 0 |
If someone is not funny then someone is both not patient and wise and vice versa. Everyone who is generous is calm or tall and vice versa. Everyone who is kind is either not old or wise. Everyone who is creative is not wise and vice versa. Everyone who is not curious or curious is not creative or not old. If susan is e... | Alice is kind. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~patient(X)&wise(X)))))&
(![X]:(generous(X)<=>(calm(X)|tall(X))))&
(![X]:(kind(X)=>(~old(X)<~>wise(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~curious(X)|curious(X))=>(~creative(X)|~old(X))))&
(((~humble(susan)<~>funny(susan)))<=>((~quiet(paul)|~strong(paul))))&
(![X]:(~wise(X)=>(~tal... | kind(alice) | [
"p2",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 462544659902967207455372
% SZS output start Proof for 462544659902967207455372
3. ! [X0] : (kind(X0) => (~old(X0) <~> wise(X0))) [input p2]
5. ! [X0] : ((curious(X0) | ~curious(X0)) => (~old(X0) | ~creative(X0))) [input p4]
7. ! [X0] : (~wise(X0) => (tall(X0) & ~tall(X0))) [input p6]
9. !... | 0 |
Everyone who is both rich and brave is calm or not kind. Everyone who is not old is both not funny and patient. Everyone who is both generous and not kind is either creative or happy. Everyone who is either strong or not tall is not happy and vice versa. Everyone who is both happy and creative is curious or not tall. E... | Alice is strong. | entailment | (![X]:((rich(X)&brave(X))=>(calm(X)|~kind(X))))&
(![X]:(~old(X)=>(~funny(X)&patient(X))))&
(![X]:((generous(X)&~kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((strong(X)<~>~tall(X))<=>~happy(X)))&
(![X]:((happy(X)&creative(X))=>(curious(X)|~tall(X))))&
(![X]:((~patient(X)<~>wise(X))<=>(~funny(X)&calm(X))))&
(![X]:((rich(... | strong(alice) | [
"p1",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8154020080200302979112688
% SZS output start Proof for 8154020080200302979112688
2. ! [X0] : (~old(X0) => (patient(X0) & ~funny(X0))) [input p1]
14. ! [X0] : ((strong(X0) <~> patient(X0)) <=> (happy(X0) | ~kind(X0))) [input p13]
15. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (tall(X0) & ~pat... | 0 |
Everyone who is either curious or not kind is both not generous and not wise.
Everyone who is not calm or not strong is either kind or quiet.
Everyone who is both not kind and old is either not generous or not curious.
If someone is both not strong and funny then someone is either kind or not strong.
Everyone who is ei... | Alice is not happy. | entailment | (![X]:((curious(X)<~>~kind(X))=>(~generous(X)&~wise(X))))&
(![X]:((~calm(X)|~strong(X))=>(kind(X)<~>quiet(X))))&
(![X]:((~kind(X)&old(X))=>(~generous(X)<~>~curious(X))))&
((?[X]:((~strong(X)&funny(X))))=>(?[X]:((kind(X)<~>~strong(X)))))&
(![X]:((~wise(X)<~>old(X))=>~old(X)))&
(((quiet(fred)<~>~wise(fred)))<=>((~funny(l... | ~happy(alice) | [
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1430092171813756612475152
% SZS output start Proof for 1430092171813756612475152
8. ? [X0] : (kind(X0) | calm(X0)) => (~old(alice) & kind(alice)) [input p7]
10. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (strong(X0) | ~old(X0))) [input p9]
20. calm(susan) [input p19]
24. happy(alice) [input ... | 0 |
Everyone who is both not brave and strong is not happy or not humble and vice versa.
If someone is both not strong and curious then someone is not wise and vice versa.
Everyone who is funny is both wise and generous and vice versa.
Everyone who is not strong or not kind is not humble.
Everyone who is either funny or ri... | Alice is strong. | entailment | (![X]:((~brave(X)&strong(X))<=>(~happy(X)|~humble(X))))&
((?[X]:((~strong(X)&curious(X))))<=>(?[X]:(~wise(X))))&
(![X]:(funny(X)<=>(wise(X)&generous(X))))&
(![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:((funny(X)<~>rich(X))=>(brave(X)&~creative(X))))&
((?[X]:((~humble(X)&funny(X))))<=>((~funny(mary)|~kind(mary))))&... | strong(alice) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 524762382432481130415875
% SZS output start Proof for 524762382432481130415875
1. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (~humble(X0) | ~happy(X0))) [input p0]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => ~humble(X0)) [input p3]
25. ~strong(alice) [input hypothesis]
27. ! [X0] : (~humble(X0... | 0 |
Everyone who is either strong or curious is brave.
Everyone who is either not humble or quiet is not rich or strong.
Everyone who is either humble or brave is either not curious or not old and vice versa.
If susan is both generous and wise then someone is not happy and vice versa.
If susan is either quiet or not curiou... | Susan is funny. | entailment | (![X]:((strong(X)<~>curious(X))=>brave(X)))&
(![X]:((~humble(X)<~>quiet(X))=>(~rich(X)|strong(X))))&
(![X]:((humble(X)<~>brave(X))<=>(~curious(X)<~>~old(X))))&
(((generous(susan)&wise(susan)))<=>(?[X]:(~happy(X))))&
(((quiet(susan)<~>~curious(susan)))<=>(tall(mary)))&
(![X]:(brave(X)=>(~humble(X)<~>~happy(X))))&
((wise... | funny(susan) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6167278530268096709733608
% SZS output start Proof for 6167278530268096709733608
4. (wise(susan) & generous(susan)) <=> ? [X0] : ~happy(X0) [input p3]
5. (quiet(susan) <~> ~curious(susan)) <=> tall(mary) [input p4]
8. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> (quiet(X0) <~> strong(X0))) [in... | 0 |
If someone is both creative and not happy then alice is not happy. Everyone who is both not kind and not rich is tall and vice versa. Everyone who is humble or kind is both not calm and patient. If someone is both patient and not curious then alice is patient and vice versa. Everyone who is both not old and not generou... | Mary is tall. | contradiction | ((?[X]:((creative(X)&~happy(X))))=>(~happy(alice)))&
(![X]:((~kind(X)&~rich(X))<=>tall(X)))&
(![X]:((humble(X)|kind(X))=>(~calm(X)&patient(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(patient(alice)))&
(![X]:((~old(X)&~generous(X))=>~patient(X)))&
((?[X]:((~humble(X)<~>tall(X))))=>((old(susan)<~>~brave(susan))))&
(![X]... | tall(mary) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3036024180779538165864953
% SZS output start Proof for 3036024180779538165864953
2. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> tall(X0)) [input p1]
18. rich(mary) [input p17]
22. tall(mary) [input hypothesis]
34. ! [X0] : (((~rich(X0) & ~kind(X0)) | ~tall(X0)) & (tall(X0) | (rich(X0) | kind(X0... | 0 |
Everyone who is both kind and creative is both kind and old.
If someone is either humble or not strong then someone is old.
Everyone who is either not calm or wise is both not generous and patient and vice versa.
Everyone who is either not creative or old is both strong and not wise and vice versa.
Everyone who is not ... | Mary is not old. | contradiction | (![X]:((kind(X)&creative(X))=>(kind(X)&old(X))))&
((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:(old(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~generous(X)&patient(X))))&
(![X]:((~creative(X)<~>old(X))<=>(strong(X)&~wise(X))))&
(![X]:(~old(X)<=>(kind(X)|generous(X))))&
(((calm(alice)|wise(alice)))<=>(?[X]:((quiet(X)&~creative(... | ~old(mary) | [
"p3",
"p6",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 12373156801454023092495
% SZS output start Proof for 12373156801454023092495
4. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (~wise(X0) & strong(X0))) [input p3]
7. ? [X0] : patient(X0) => (strong(mary) & creative(mary)) [input p6]
9. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~funny(X0))) [input ... | 0 |
Everyone who is either not old or strong is not creative and vice versa.
Everyone who is either calm or not humble is patient or not humble and vice versa.
If someone is not quiet or strong then someone is either happy or humble and vice versa.
Everyone who is either not calm or old is either creative or kind and vice ... | Paul is not calm. | contradiction | (![X]:((~old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(patient(X)|~humble(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((happy(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>old(X))<=>(creative(X)<~>kind(X))))&
(((rich(susan)|~wise(susan)))<=>((strong(alice)&~wise(alice))))&
(![X]:((~humble(X)|~brave... | ~calm(paul) | [
"p1",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7450591303115752037213207
% SZS output start Proof for 7450591303115752037213207
2. ! [X0] : ((calm(X0) <~> ~humble(X0)) <=> (~humble(X0) | patient(X0))) [input p1]
6. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~generous(X0... | 0 |
Everyone who is either strong or not curious is either creative or strong. Everyone who is calm or not old is either brave or not brave. Everyone who is not patient or not rich is not generous or curious. Everyone who is either not happy or humble is quiet or happy and vice versa. If someone is both creative and not cr... | Lucy is not quiet. | neutral | (![X]:((strong(X)<~>~curious(X))=>(creative(X)<~>strong(X))))&
(![X]:((calm(X)|~old(X))=>(brave(X)<~>~brave(X))))&
(![X]:((~patient(X)|~rich(X))=>(~generous(X)|curious(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(quiet(X)|happy(X))))&
((?[X]:((creative(X)&~creative(X))))=>(old(john)))&
((?[X]:((humble(X)&funny(X))))<=>(?[X... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa. Everyone who is not funny is either strong or not strong. If someone is both happy and patient then someone is not kind or curious and vice versa. Everyone who is not quiet is tall or old. If john is patient or wise then fre... | Fred is not generous. | entailment | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~quiet(X)=>(tall(X)|old(X))))&
(((patient(john)|wise(john)))=>((happy(fred)|~strong(fred))))&
((?[X]:((~patient(X)|~rich(X))))<=>((~creative... | ~generous(fred) | [
"p4",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3000514432143134816394663
% SZS output start Proof for 3000514432143134816394663
5. (wise(john) | patient(john)) => (~strong(fred) | happy(fred)) [input p4]
10. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p9]
11. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (generous(X0) <~>... | 0 |
Everyone who is calm is either not generous or calm and vice versa. If someone is either generous or not kind then someone is both strong and not happy and vice versa. Everyone who is either not humble or brave is both happy and not funny and vice versa. Everyone who is either creative or not curious is humble. If some... | Alice is brave. | contradiction | (![X]:(calm(X)<=>(~generous(X)<~>calm(X))))&
((?[X]:((generous(X)<~>~kind(X))))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~humble(X)<~>brave(X))<=>(happy(X)&~funny(X))))&
(![X]:((creative(X)<~>~curious(X))=>humble(X)))&
((?[X]:((~brave(X)<~>~rich(X))))=>(~kind(alice)))&
(((~kind(fred)<~>generous(fred)))=>((~brave(lucy... | brave(alice) | [
"p0",
"p1",
"p2",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3255461375435153233211077
% SZS output start Proof for 3255461375435153233211077
1. ! [X0] : (calm(X0) <=> (~generous(X0) <~> calm(X0))) [input p0]
2. ? [X0] : (generous(X0) <~> ~kind(X0)) <=> ? [X0] : (~happy(X0) & strong(X0)) [input p1]
3. ! [X0] : ((~humble(X0) <~> brave(X0)) <=> (~fun... | 0 |
Everyone who is wise is not brave or not curious and vice versa.
If someone is creative then susan is both creative and calm and vice versa.
If someone is kind or not curious then john is calm or not creative and vice versa.
Everyone who is quiet is both old and quiet and vice versa.
Everyone who is not happy or not st... | John is not quiet. | entailment | (![X]:(wise(X)<=>(~brave(X)|~curious(X))))&
((?[X]:(creative(X)))<=>((creative(susan)&calm(susan))))&
((?[X]:((kind(X)|~curious(X))))<=>((calm(john)|~creative(john))))&
(![X]:(quiet(X)<=>(old(X)&quiet(X))))&
(![X]:((~happy(X)|~strong(X))=>(generous(X)|patient(X))))&
(((~funny(alice)|~patient(alice)))<=>((happy(susan)|~... | ~quiet(john) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 673305513946235185564995
% SZS output start Proof for 673305513946235185564995
7. ! [X0] : ((~old(X0) | brave(X0)) => (~happy(X0) & ~brave(X0))) [input p6]
9. ! [X0] : (~quiet(X0) <=> (happy(X0) | ~brave(X0))) [input p8]
24. quiet(john) [input hypothesis]
30. ! [X0] : ((~happy(X0) & ~brav... | 0 |
If susan is not funny then someone is either old or not tall. Everyone who is both wise and rich is both not creative and not curious and vice versa. If fred is either brave or not quiet then john is not generous and vice versa. If someone is not quiet or not funny then alice is both kind and funny. If someone is not c... | Susan is not curious. | neutral | ((~funny(susan))=>(?[X]:((old(X)<~>~tall(X)))))&
(![X]:((wise(X)&rich(X))<=>(~creative(X)&~curious(X))))&
(((brave(fred)<~>~quiet(fred)))<=>(~generous(john)))&
((?[X]:((~quiet(X)|~funny(X))))=>((kind(alice)&funny(alice))))&
((?[X]:((~curious(X)|~strong(X))))=>((~calm(fred)<~>~quiet(fred))))&
((?[X]:((~curious(X)|~calm(... | ~curious(susan) | [] | null | 0 |
Everyone who is both not tall and happy is either rich or wise and vice versa. If paul is kind then lucy is both not rich and brave. Everyone who is happy or patient is both humble and not tall and vice versa. Everyone who is quiet is either not patient or happy and vice versa. If someone is both not curious and tall t... | Susan is humble. | entailment | (![X]:((~tall(X)&happy(X))<=>(rich(X)<~>wise(X))))&
((kind(paul))=>((~rich(lucy)&brave(lucy))))&
(![X]:((happy(X)|patient(X))<=>(humble(X)&~tall(X))))&
(![X]:(quiet(X)<=>(~patient(X)<~>happy(X))))&
((?[X]:((~curious(X)&tall(X))))<=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((creative(X)&~old(X))=>(~strong(X)<~>curious(X... | humble(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3931241068031494374817774
% SZS output start Proof for 3931241068031494374817774
18. humble(susan) & ~wise(susan) [input p17]
25. ~humble(susan) [input hypothesis]
148. humble(susan) [cnf transformation 18]
159. ~humble(susan) [cnf transformation 25]
338. $false [subsumption resolution 15... | 0 |
If someone is either not quiet or not strong then alice is both not rich and quiet and vice versa.
If someone is either brave or not patient then lucy is either happy or not curious and vice versa.
If john is kind or not patient then john is not curious or not tall and vice versa.
Everyone who is both quiet and not cre... | John is patient. | contradiction | ((?[X]:((~quiet(X)<~>~strong(X))))<=>((~rich(alice)&quiet(alice))))&
((?[X]:((brave(X)<~>~patient(X))))<=>((happy(lucy)<~>~curious(lucy))))&
(((kind(john)|~patient(john)))<=>((~curious(john)|~tall(john))))&
(![X]:((quiet(X)&~creative(X))<=>(~rich(X)&~wise(X))))&
(![X]:(~generous(X)<=>(~generous(X)<~>curious(X))))&
((?[... | patient(john) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 504003177014498287525317
% SZS output start Proof for 504003177014498287525317
3. (~patient(john) | kind(john)) <=> (~tall(john) | ~curious(john)) [input p2]
4. ! [X0] : ((~creative(X0) & quiet(X0)) <=> (~wise(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> ... | 0 |
If someone is kind then john is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Lucy is curious. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(john)|humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | curious(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 675073846228011271959150
% SZS output start Proof for 675073846228011271959150
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. curious(lucy) [input hypothesis]
24. ? [X0] : (br... | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | Lucy is not humble. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | ~humble(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8452990324184597211769429
% SZS output start Proof for 8452990324184597211769429
18. ~humble(lucy) [input p17]
22. humble(lucy) [input hypothesis]
119. ~humble(lucy) [cnf transformation 18]
125. humble(lucy) [cnf transformation 22]
207. $false [subsumption resolution 125,119]
% SZS output... | 0 |
If mary is both patient and not strong then someone is funny.
If lucy is both not tall and patient then someone is old and vice versa.
Everyone who is not creative or strong is either quiet or old.
If someone is either strong or curious then john is not wise and vice versa.
If someone is either not strong or not quiet ... | Mary is not strong. | entailment | (((patient(mary)&~strong(mary)))=>(?[X]:(funny(X))))&
(((~tall(lucy)&patient(lucy)))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)|strong(X))=>(quiet(X)<~>old(X))))&
((?[X]:((strong(X)<~>curious(X))))<=>(~wise(john)))&
((?[X]:((~strong(X)<~>~quiet(X))))=>(~calm(fred)))&
((?[X]:((~quiet(X)&generous(X))))=>((~calm(paul)&~gene... | ~strong(mary) | [
"p2",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8668052566602169887704852
% SZS output start Proof for 8668052566602169887704852
3. ! [X0] : ((strong(X0) | ~creative(X0)) => (quiet(X0) <~> old(X0))) [input p2]
12. ! [X0] : ((happy(X0) & old(X0)) <=> (~old(X0) | generous(X0))) [input p11]
20. tall(mary) & quiet(mary) [input p19]
24. str... | 0 |
Everyone who is either curious or old is generous or not generous and vice versa. If susan is brave then paul is generous or not rich and vice versa. Everyone who is either tall or not kind is both patient and strong and vice versa. Everyone who is generous is both not tall and old and vice versa. If lucy is old or not... | John is happy. | neutral | (![X]:((curious(X)<~>old(X))<=>(generous(X)|~generous(X))))&
((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]... | happy(john) | [] | null | 0 |
If someone is not old or not brave then someone is both not strong and not humble and vice versa. If someone is either kind or generous then mary is curious or tall. Everyone who is either not brave or not patient is either curious or quiet. Everyone who is either happy or not quiet is both not humble and generous and ... | Susan is not old. | neutral | ((?[X]:((~old(X)|~brave(X))))<=>(?[X]:((~strong(X)&~humble(X)))))&
((?[X]:((kind(X)<~>generous(X))))=>((curious(mary)|tall(mary))))&
(![X]:((~brave(X)<~>~patient(X))=>(curious(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~humble(X)&generous(X))))&
(![X]:((curious(X)|~kind(X))=>(~tall(X)|~brave(X))))&
(![X]:((~wis... | ~old(susan) | [] | null | 0 |
Everyone who is not tall or not strong is both kind and not kind and vice versa.
Everyone who is either calm or funny is kind or curious.
If mary is either calm or not calm then fred is both rich and not kind and vice versa.
If someone is either not wise or not calm then paul is not brave.
Everyone who is both not brav... | Lucy is wise. | contradiction | (![X]:((~tall(X)|~strong(X))<=>(kind(X)&~kind(X))))&
(![X]:((calm(X)<~>funny(X))=>(kind(X)|curious(X))))&
(((calm(mary)<~>~calm(mary)))<=>((rich(fred)&~kind(fred))))&
((?[X]:((~wise(X)<~>~calm(X))))=>(~brave(paul)))&
(![X]:((~brave(X)&~quiet(X))<=>(~generous(X)|curious(X))))&
(((~old(alice)<~>~patient(alice)))=>(?[X]:(... | wise(lucy) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 455915829104810057758301
% SZS output start Proof for 455915829104810057758301
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (~kind(X0) & kind(X0))) [input p0]
8. ! [X0] : ((~funny(X0) | strong(X0)) <=> (humble(X0) & ~wise(X0))) [input p7]
24. wise(lucy) [input hypothesis]
34. ! [X0] : (((~s... | 0 |
Everyone who is either not patient or kind is not strong and vice versa.
Everyone who is not funny or not old is tall or happy.
If lucy is both not tall and not humble then someone is either not strong or kind.
If someone is humble then someone is both calm and funny and vice versa.
If someone is not kind or not creati... | John is not curious. | entailment | (![X]:((~patient(X)<~>kind(X))<=>~strong(X)))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)&funny(X)))))&
((?[X]:((~kind(X)|~creative(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((quiet(X)<~>curious(X))))=>(... | ~curious(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3180095050635491492191773
% SZS output start Proof for 3180095050635491492191773
8. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (~wise(X0) | curious(X0))) [input p7]
23. curious(john) [input hypothesis]
58. ! [X0] : (((patient(X0) & ~curious(X0)) | (wise(X0) & ~curious(X0))) & ((~wise(X0) ... | 0 |
If someone is calm then someone is either strong or not quiet and vice versa.
Everyone who is either curious or patient is not quiet or not strong.
Everyone who is both brave and old is either generous or not creative and vice versa.
Everyone who is creative or strong is not generous or not calm and vice versa.
If john... | Alice is not old. | entailment | ((?[X]:(calm(X)))<=>(?[X]:((strong(X)<~>~quiet(X)))))&
(![X]:((curious(X)<~>patient(X))=>(~quiet(X)|~strong(X))))&
(![X]:((brave(X)&old(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((creative(X)|strong(X))<=>(~generous(X)|~calm(X))))&
(((strong(john)|~calm(john)))=>((~rich(fred)|~brave(fred))))&
(![X]:(~old(X)<=>(~tall(... | ~old(alice) | [
"p2",
"p5",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 741383685359322601116585
% SZS output start Proof for 741383685359322601116585
3. ! [X0] : ((old(X0) & brave(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p2]
6. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p5]
11. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~... | 0 |
If someone is creative then susan is both not curious and rich and vice versa.
If someone is either strong or wise then someone is humble and vice versa.
If someone is happy or creative then someone is not curious or rich.
Everyone who is either calm or not rich is not humble and vice versa.
If someone is curious or no... | Mary is wise. | neutral | ((?[X]:(creative(X)))<=>((~curious(susan)&rich(susan))))&
((?[X]:((strong(X)<~>wise(X))))<=>(?[X]:(humble(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((calm(X)<~>~rich(X))<=>~humble(X)))&
((?[X]:((curious(X)|~old(X))))=>(?[X]:((humble(X)&kind(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X... | wise(mary) | [] | null | 0 |
Everyone who is not strong or strong is both not curious and not happy and vice versa. If someone is either funny or generous then someone is both not calm and not patient. Everyone who is both not curious and not wise is not happy. If paul is both funny and not kind then someone is either tall or not creative and vice... | Paul is not strong. | neutral | (![X]:((~strong(X)|strong(X))<=>(~curious(X)&~happy(X))))&
((?[X]:((funny(X)<~>generous(X))))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(((funny(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X]:(~patient(X)=>(~humble(X)&rich(X))))&
((?[X]:(~old(X)))<=>(~wise(mary)))&
... | ~strong(paul) | [] | null | 0 |
Everyone who is either not tall or happy is not old or calm and vice versa.
If mary is rich or kind then john is either not kind or not curious and vice versa.
If paul is both not calm and strong then mary is both rich and not tall.
Everyone who is either not kind or not funny is either curious or not calm.
Everyone wh... | Mary is not old. | neutral | (![X]:((~tall(X)<~>happy(X))<=>(~old(X)|calm(X))))&
(((rich(mary)|kind(mary)))<=>((~kind(john)<~>~curious(john))))&
(((~calm(paul)&strong(paul)))=>((rich(mary)&~tall(mary))))&
(![X]:((~kind(X)<~>~funny(X))=>(curious(X)<~>~calm(X))))&
(![X]:((generous(X)&~patient(X))=>(tall(X)&~strong(X))))&
(![X]:((kind(X)|calm(X))<=>(... | ~old(mary) | [] | null | 0 |
Everyone who is tall or not strong is either humble or rich and vice versa. Everyone who is not rich is not calm or humble. Everyone who is either not brave or quiet is not happy. If mary is humble or funny then someone is not happy or old. If someone is not old or not generous then fred is both calm and kind and vice ... | Mary is not generous. | contradiction | (![X]:((tall(X)|~strong(X))<=>(humble(X)<~>rich(X))))&
(![X]:(~rich(X)=>(~calm(X)|humble(X))))&
(![X]:((~brave(X)<~>quiet(X))=>~happy(X)))&
(((humble(mary)|funny(mary)))=>(?[X]:((~happy(X)|old(X)))))&
((?[X]:((~old(X)|~generous(X))))<=>((calm(fred)&kind(fred))))&
(![X]:((happy(X)&curious(X))<=>(~happy(X)<~>old(X))))&
(... | ~generous(mary) | [
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3902163093294063661627645
% SZS output start Proof for 3902163093294063661627645
5. ? [X0] : (~generous(X0) | ~old(X0)) <=> (kind(fred) & calm(fred)) [input p4]
7. ? [X0] : (calm(X0) & ~rich(X0)) <=> ? [X0] : calm(X0) [input p6]
12. ! [X0] : ((calm(X0) & creative(X0)) <=> (creative(X0) <~... | 0 |
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