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 happy and not patient is not kind. Everyone who is not generous or not wise is creative and vice versa. Everyone who is either not kind or not quiet is not curious or kind. If susan is both not happy and quiet then someone is kind and vice versa. If someone is either funny or not brave then fre... | Susan is curious. | neutral | (![X]:((~happy(X)&~patient(X))=>~kind(X)))&
(![X]:((~generous(X)|~wise(X))<=>creative(X)))&
(![X]:((~kind(X)<~>~quiet(X))=>(~curious(X)|kind(X))))&
(((~happy(susan)&quiet(susan)))<=>(?[X]:(kind(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>((happy(fred)&~kind(fred))))&
(![X]:((~quiet(X)|~patient(X))=>(creative(X)|happy(X))... | curious(susan) | [] | null | 0 |
Everyone who is calm or not curious is tall and vice versa.
If someone is both brave and not patient then fred is either patient or not quiet and vice versa.
Everyone who is not calm or not kind is both strong and not curious and vice versa.
Everyone who is either not rich or quiet is not generous or rich and vice vers... | Susan is not funny. | entailment | (![X]:((calm(X)|~curious(X))<=>tall(X)))&
((?[X]:((brave(X)&~patient(X))))<=>((patient(fred)<~>~quiet(fred))))&
(![X]:((~calm(X)|~kind(X))<=>(strong(X)&~curious(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|rich(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~kind(X)|~old(X))))&
(![X]:(curious(X)<=>~quiet(X)))&
(![X]:((~... | ~funny(susan) | [
"p0",
"p5",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8877635814972689388762797
% SZS output start Proof for 8877635814972689388762797
1. ! [X0] : ((~curious(X0) | calm(X0)) <=> tall(X0)) [input p0]
6. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p5]
7. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> funny(X0)) [input p6]
13. ! [X0] : ((~humble(X0)... | 0 |
If mary is either not curious or brave then susan is calm or not rich.
Everyone who is not funny or tall is curious and vice versa.
If someone is quiet or old then alice is both not brave and funny and vice versa.
If mary is either not rich or not kind then paul is tall or not kind and vice versa.
If alice is kind then... | Paul is not quiet. | neutral | (((~curious(mary)<~>brave(mary)))=>((calm(susan)|~rich(susan))))&
(![X]:((~funny(X)|tall(X))<=>curious(X)))&
((?[X]:((quiet(X)|old(X))))<=>((~brave(alice)&funny(alice))))&
(((~rich(mary)<~>~kind(mary)))<=>((tall(paul)|~kind(paul))))&
((kind(alice))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((happy(X)|~curious(X))))=... | ~quiet(paul) | [] | null | 0 |
If alice is either not old or curious then someone is either not curious or humble and vice versa. If lucy is curious or funny then lucy is either not tall or not strong. If mary is not calm or quiet then someone is not humble and vice versa. Everyone who is not quiet is not rich. Everyone who is either quiet or not ca... | Alice is not quiet. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(((curious(lucy)|funny(lucy)))=>((~tall(lucy)<~>~strong(lucy))))&
(((~calm(mary)|quiet(mary)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
(... | ~quiet(alice) | [
"p3",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2589931588551586221351490
% SZS output start Proof for 2589931588551586221351490
4. ! [X0] : (~quiet(X0) => ~rich(X0)) [input p3]
8. ? [X0] : (~patient(X0) | ~brave(X0)) => (humble(alice) | rich(alice)) [input p7]
14. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> ~happy(X0)) [input p13]
22. ~... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | John is not calm. | contradiction | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | ~calm(john) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6984072486072868391493289
% SZS output start Proof for 6984072486072868391493289
2. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (~old(X0) & happy(X0))) [input p2]
6. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~patient(X0) <~>... | 0 |
If someone is both not curious and not tall then paul is not old or not strong.
If mary is both wise and funny then fred is both generous and kind.
Everyone who is both happy and old is not creative or not funny.
Everyone who is both not patient and calm is strong.
If lucy is both humble and not patient then someone is... | John is rich. | contradiction | ((?[X]:((~curious(X)&~tall(X))))=>((~old(paul)|~strong(paul))))&
(((wise(mary)&funny(mary)))=>((generous(fred)&kind(fred))))&
(![X]:((happy(X)&old(X))=>(~creative(X)|~funny(X))))&
(![X]:((~patient(X)&calm(X))=>strong(X)))&
(((humble(lucy)&~patient(lucy)))<=>(?[X]:((~humble(X)|patient(X)))))&
(((~happy(paul)&funny(paul)... | rich(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 236446789085949584122094
% SZS output start Proof for 236446789085949584122094
7. ! [X0] : ((quiet(X0) | ~tall(X0)) <=> (~tall(X0) & ~rich(X0))) [input p6]
15. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (~generous(X0) & rich(X0))) [input p14]
25. rich(john) [input hypothesis]
47. ! [X0] :... | 0 |
Everyone who is either not curious or calm is both humble and generous. Everyone who is not generous is both humble and creative. If john is not curious then susan is not generous or quiet and vice versa. If john is not kind then susan is not tall or funny and vice versa. If someone is either patient or not creative th... | John is not funny. | neutral | (![X]:((~curious(X)<~>calm(X))=>(humble(X)&generous(X))))&
(![X]:(~generous(X)=>(humble(X)&creative(X))))&
((~curious(john))<=>((~generous(susan)|quiet(susan))))&
((~kind(john))<=>((~tall(susan)|funny(susan))))&
((?[X]:((patient(X)<~>~creative(X))))<=>((strong(mary)<~>quiet(mary))))&
(![X]:(~calm(X)<=>~patient(X)))&
((... | ~funny(john) | [] | null | 0 |
If someone is both patient and not brave then someone is kind or curious.
If someone is generous or wise then alice is either not kind or brave.
Everyone who is both not tall and patient is strong or not creative and vice versa.
Everyone who is either not funny or not old is either patient or funny and vice versa.
If a... | Mary is old. | contradiction | ((?[X]:((patient(X)&~brave(X))))=>(?[X]:((kind(X)|curious(X)))))&
((?[X]:((generous(X)|wise(X))))=>((~kind(alice)<~>brave(alice))))&
(![X]:((~tall(X)&patient(X))<=>(strong(X)|~creative(X))))&
(![X]:((~funny(X)<~>~old(X))<=>(patient(X)<~>funny(X))))&
(((~creative(alice)&creative(alice)))=>((happy(alice)|old(alice))))&
(... | old(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1099220919486100299250597
% SZS output start Proof for 1099220919486100299250597
7. ! [X0] : (calm(X0) <=> (~calm(X0) <~> ~old(X0))) [input p6]
24. old(mary) [input hypothesis]
46. ! [X0] : ((calm(X0) | ((~calm(X0) | old(X0)) & (~old(X0) | calm(X0)))) & (((old(X0) | calm(X0)) & (~old(X0) ... | 0 |
If lucy is either kind or quiet then someone is not kind and vice versa. Everyone who is both not happy and not old is not quiet. Everyone who is calm or curious is either not happy or not tall. Everyone who is both not strong and not kind is either not calm or kind and vice versa. If lucy is either curious or humble t... | Mary is calm. | contradiction | (((kind(lucy)<~>quiet(lucy)))<=>(?[X]:(~kind(X))))&
(![X]:((~happy(X)&~old(X))=>~quiet(X)))&
(![X]:((calm(X)|curious(X))=>(~happy(X)<~>~tall(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~calm(X)<~>kind(X))))&
(((curious(lucy)<~>humble(lucy)))<=>(~tall(lucy)))&
((?[X]:((curious(X)&~brave(X))))=>(?[X]:(creative(X))))&
((?[X]:(... | calm(mary) | [
"p3",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3410282960747046649497733
% SZS output start Proof for 3410282960747046649497733
4. ! [X0] : ((~kind(X0) & ~strong(X0)) <=> (~calm(X0) <~> kind(X0))) [input p3]
9. ! [X0] : (~funny(X0) <=> (wise(X0) <~> kind(X0))) [input p8]
10. ! [X0] : ((~patient(X0) | old(X0)) <=> ~humble(X0)) [input p... | 0 |
If someone is not strong then someone is curious and vice versa.
Everyone who is not rich or brave is both calm and kind and vice versa.
Everyone who is not funny or not quiet is either not quiet or brave and vice versa.
If someone is both not rich and kind then fred is both tall and not calm and vice versa.
Everyone w... | Fred is not old. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|brave(X))<=>(calm(X)&kind(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~quiet(X)<~>brave(X))))&
((?[X]:((~rich(X)&kind(X))))<=>((tall(fred)&~calm(fred))))&
(![X]:(~quiet(X)=>rich(X)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:((~cal... | ~old(fred) | [] | null | 0 |
Everyone who is either not brave or not calm is not patient and vice versa. Everyone who is kind is both wise and not funny and vice versa. Everyone who is not quiet or not wise is not strong. Everyone who is both not calm and not kind is kind and vice versa. Everyone who is either strong or not humble is patient or wi... | Fred is not creative. | neutral | (![X]:((~brave(X)<~>~calm(X))<=>~patient(X)))&
(![X]:(kind(X)<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)|~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&~kind(X))<=>kind(X)))&
(![X]:((strong(X)<~>~humble(X))=>(patient(X)|wise(X))))&
((~patient(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)|generous(X))<=>(~generous(X)&~curi... | ~creative(fred) | [] | null | 0 |
If someone is not tall or happy then someone is both quiet and funny.
If someone is either brave or not old then someone is not quiet and vice versa.
Everyone who is funny is both rich and calm.
Everyone who is both humble and happy is not rich.
Everyone who is old is not strong or not happy.
Everyone who is not happy ... | John is not funny. | entailment | ((?[X]:((~tall(X)|happy(X))))=>(?[X]:((quiet(X)&funny(X)))))&
((?[X]:((brave(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(rich(X)<~>happy(X))))&
(![X]:((creative(X)|humble(X))<=>(~old(X)... | ~funny(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7451984240254497304244120
% SZS output start Proof for 7451984240254497304244120
3. ! [X0] : (funny(X0) => (calm(X0) & rich(X0))) [input p2]
4. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p3]
6. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p5]
7. ! [X0] : ((humble... | 0 |
Everyone who is not happy is old or patient and vice versa.
Everyone who is old or not quiet is generous and vice versa.
Everyone who is either not strong or creative is not quiet or calm.
If someone is either not strong or not happy then alice is both not tall and strong.
If someone is quiet or not kind then someone i... | Susan is happy. | contradiction | (![X]:(~happy(X)<=>(old(X)|patient(X))))&
(![X]:((old(X)|~quiet(X))<=>generous(X)))&
(![X]:((~strong(X)<~>creative(X))=>(~quiet(X)|calm(X))))&
((?[X]:((~strong(X)<~>~happy(X))))=>((~tall(alice)&strong(alice))))&
((?[X]:((quiet(X)|~kind(X))))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:((~generous(X)|patient(X))=>(kind(X)|... | happy(susan) | [
"p0",
"p5",
"p7",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 567248055691203325064635
% SZS output start Proof for 567248055691203325064635
1. ! [X0] : (~happy(X0) <=> (patient(X0) | old(X0))) [input p0]
6. ! [X0] : ((patient(X0) | ~generous(X0)) => (funny(X0) | kind(X0))) [input p5]
8. ! [X0] : ((~happy(X0) <~> ~kind(X0)) <=> (rich(X0) | patient(X... | 0 |
Everyone who is both strong and kind is not rich.
If someone is humble then mary is both creative and tall.
If fred is strong or humble then mary is tall or wise.
If someone is either not creative or not quiet then paul is patient.
If lucy is both humble and old then someone is not curious or curious.
If someone is not... | John is rich. | neutral | (![X]:((strong(X)&kind(X))=>~rich(X)))&
((?[X]:(humble(X)))=>((creative(mary)&tall(mary))))&
(((strong(fred)|humble(fred)))=>((tall(mary)|wise(mary))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(patient(paul)))&
(((humble(lucy)&old(lucy)))=>(?[X]:((~curious(X)|curious(X)))))&
((?[X]:((~happy(X)|curious(X))))<=>(?[X]:((~st... | rich(john) | [] | null | 0 |
Everyone who is either calm or tall is tall or not creative and vice versa. Everyone who is both happy and not kind is not old. If fred is quiet then alice is both funny and not wise. Everyone who is either not quiet or curious is humble and vice versa. Everyone who is funny is happy and vice versa. If lucy is either n... | Alice is curious. | entailment | (![X]:((calm(X)<~>tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((happy(X)&~kind(X))=>~old(X)))&
((quiet(fred))=>((funny(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>curious(X))<=>humble(X)))&
(![X]:(funny(X)<=>happy(X)))&
(((~old(lucy)<~>~calm(lucy)))=>((brave(alice)<~>~rich(alice))))&
(((~humble(susan)<~>~funny(susan)))<... | curious(alice) | [
"p0",
"p10",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3225173215263312467525158
% SZS output start Proof for 3225173215263312467525158
1. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (~creative(X0) | tall(X0))) [input p0]
11. ! [X0] : ((~tall(X0) | ~brave(X0)) => (tall(X0) <~> ~happy(X0))) [input p10]
14. ! [X0] : ((creative(X0) <~> curious(X0)) <=... | 0 |
If susan is not wise then fred is not funny.
Everyone who is patient or not rich is both generous and not patient and vice versa.
If john is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is not brave is either not generous or generous and vice versa.
Everyone who is e... | Paul is not strong. | entailment | ((~wise(susan))=>(~funny(fred)))&
(![X]:((patient(X)|~rich(X))<=>(generous(X)&~patient(X))))&
(((~old(john)<~>curious(john)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(~brave(X)<=>(~generous(X)<~>generous(X))))&
(![X]:((old(X)<~>tall(X))=>(quiet(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(~humble(X)&brave(X))))&
(![X]:((qu... | ~strong(paul) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6029189692344817949576439
% SZS output start Proof for 6029189692344817949576439
4. ! [X0] : (~brave(X0) <=> (~generous(X0) <~> generous(X0))) [input p3]
15. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~humble(X0) | ~brave(X0))) [input p14]
22. strong(paul) [input hypothesis]
39. ! [X0] :... | 0 |
Everyone who is both brave and not strong is both strong and humble.
If someone is not curious or not patient then paul is both creative and wise and vice versa.
If someone is either old or not quiet then lucy is rich or not strong and vice versa.
If susan is both not strong and not patient then paul is both not curiou... | John is not wise. | contradiction | (![X]:((brave(X)&~strong(X))=>(strong(X)&humble(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>((creative(paul)&wise(paul))))&
((?[X]:((old(X)<~>~quiet(X))))<=>((rich(lucy)|~strong(lucy))))&
(((~strong(susan)&~patient(susan)))<=>((~curious(paul)&~humble(paul))))&
(((calm(lucy)&~generous(lucy)))=>(?[X]:((strong(X)&curious... | ~wise(john) | [
"p1",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4502982880048372392867189
% SZS output start Proof for 4502982880048372392867189
2. ? [X0] : (~patient(X0) | ~curious(X0)) <=> (wise(paul) & creative(paul)) [input p1]
9. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> ~patient(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise... | 0 |
Everyone who is generous is strong and vice versa.
If someone is both happy and creative then alice is old and vice versa.
If someone is either not curious or kind then alice is both old and not brave and vice versa.
If paul is strong or not patient then someone is not old.
Everyone who is either not creative or not ki... | Alice is not happy. | neutral | (![X]:(generous(X)<=>strong(X)))&
((?[X]:((happy(X)&creative(X))))<=>(old(alice)))&
((?[X]:((~curious(X)<~>kind(X))))<=>((old(alice)&~brave(alice))))&
(((strong(paul)|~patient(paul)))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)<~>~kind(X))=>(~tall(X)|old(X))))&
(![X]:((old(X)|~creative(X))<=>(~patient(X)&~wise(X))))&
((~c... | ~happy(alice) | [] | null | 0 |
If someone is both not brave and patient then someone is generous.
Everyone who is generous is rich or funny and vice versa.
If fred is tall then someone is rich or happy.
If someone is not creative then lucy is strong or creative and vice versa.
Everyone who is generous is either wise or tall and vice versa.
Everyone ... | Mary is tall. | entailment | ((?[X]:((~brave(X)&patient(X))))=>(?[X]:(generous(X))))&
(![X]:(generous(X)<=>(rich(X)|funny(X))))&
((tall(fred))=>(?[X]:((rich(X)|happy(X)))))&
((?[X]:(~creative(X)))<=>((strong(lucy)|creative(lucy))))&
(![X]:(generous(X)<=>(wise(X)<~>tall(X))))&
(![X]:((tall(X)&~strong(X))<=>kind(X)))&
((creative(susan))<=>(?[X]:((~q... | tall(mary) | [
"p1",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7481021066001530127401669
% SZS output start Proof for 7481021066001530127401669
2. ! [X0] : (generous(X0) <=> (funny(X0) | rich(X0))) [input p1]
13. ! [X0] : ((~tall(X0) | patient(X0)) <=> (brave(X0) & funny(X0))) [input p12]
15. ! [X0] : (~wise(X0) <=> (curious(X0) | generous(X0))) [inp... | 0 |
Everyone who is not creative is both not funny and not tall.
Everyone who is both not creative and patient is generous or not quiet and vice versa.
If someone is brave then someone is both not calm and not brave.
Everyone who is both not rich and not humble is quiet or not generous and vice versa.
If someone is not wis... | Fred is not creative. | neutral | (![X]:(~creative(X)=>(~funny(X)&~tall(X))))&
(![X]:((~creative(X)&patient(X))<=>(generous(X)|~quiet(X))))&
((?[X]:(brave(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(quiet(X)|~generous(X))))&
((?[X]:(~wise(X)))<=>(?[X]:(~creative(X))))&
(![X]:((wise(X)<~>calm(X))=>(~curious(X)|rich(X))))&
(![X]... | ~creative(fred) | [] | null | 0 |
Everyone who is old is strong. Everyone who is not rich or not curious is both not kind and generous and vice versa. Everyone who is either not funny or not patient is both kind and old. If someone is either not happy or not old then someone is not curious or rich. If someone is not tall then alice is not curious or no... | John is funny. | neutral | (![X]:(old(X)=>strong(X)))&
(![X]:((~rich(X)|~curious(X))<=>(~kind(X)&generous(X))))&
(![X]:((~funny(X)<~>~patient(X))=>(kind(X)&old(X))))&
((?[X]:((~happy(X)<~>~old(X))))=>(?[X]:((~curious(X)|rich(X)))))&
((?[X]:(~tall(X)))=>((~curious(alice)|~patient(alice))))&
(((strong(lucy)&~creative(lucy)))<=>(?[X]:((~rich(X)|fun... | funny(john) | [] | null | 0 |
Everyone who is creative is funny or not funny and vice versa.
If lucy is both not funny and curious then someone is tall or not strong and vice versa.
Everyone who is not happy is strong and vice versa.
Everyone who is either old or not tall is rich or patient.
Everyone who is generous or tall is not kind or not rich ... | Lucy is creative. | entailment | (![X]:(creative(X)<=>(funny(X)|~funny(X))))&
(((~funny(lucy)&curious(lucy)))<=>(?[X]:((tall(X)|~strong(X)))))&
(![X]:(~happy(X)<=>strong(X)))&
(![X]:((old(X)<~>~tall(X))=>(rich(X)|patient(X))))&
(![X]:((generous(X)|tall(X))<=>(~kind(X)|~rich(X))))&
(![X]:((~tall(X)|kind(X))=>(kind(X)&~quiet(X))))&
(![X]:((~funny(X)<~>~... | creative(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4397290134560242375806378
% SZS output start Proof for 4397290134560242375806378
1. ! [X0] : (creative(X0) <=> (~funny(X0) | funny(X0))) [input p0]
22. ~creative(lucy) [input hypothesis]
36. ! [X0] : ((creative(X0) | (funny(X0) & ~funny(X0))) & ((~funny(X0) | funny(X0)) | ~creative(X0))) ... | 0 |
If someone is not happy then someone is both not patient and tall. If paul is either curious or rich then john is generous or not old and vice versa. Everyone who is either creative or not wise is either curious or not quiet and vice versa. Everyone who is funny or not calm is creative or rich. Everyone who is not brav... | John is not old. | neutral | ((?[X]:(~happy(X)))=>(?[X]:((~patient(X)&tall(X)))))&
(((curious(paul)<~>rich(paul)))<=>((generous(john)|~old(john))))&
(![X]:((creative(X)<~>~wise(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((funny(X)|~calm(X))=>(creative(X)|rich(X))))&
(![X]:(~brave(X)<=>old(X)))&
(![X]:((patient(X)|creative(X))<=>(patient(X)<~>funny(X)... | ~old(john) | [] | null | 0 |
If paul is not wise or not strong then lucy is kind and vice versa.
If someone is not rich or kind then lucy is either tall or not old.
If someone is not strong then someone is either generous or not old and vice versa.
If someone is strong then paul is either quiet or not quiet and vice versa.
Everyone who is creative... | Lucy is brave. | entailment | (((~wise(paul)|~strong(paul)))<=>(kind(lucy)))&
((?[X]:((~rich(X)|kind(X))))=>((tall(lucy)<~>~old(lucy))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)<~>~old(X)))))&
((?[X]:(strong(X)))<=>((quiet(paul)<~>~quiet(paul))))&
(![X]:((creative(X)|~quiet(X))<=>(~wise(X)|~generous(X))))&
(((~kind(lucy)&~patient(lucy)))=>(?[X]:... | brave(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 383834663849089352743344
% SZS output start Proof for 383834663849089352743344
1. (~strong(paul) | ~wise(paul)) <=> kind(lucy) [input p0]
2. ? [X0] : (kind(X0) | ~rich(X0)) => (tall(lucy) <~> ~old(lucy)) [input p1]
5. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~generous(X0) | ~wise(X0))) ... | 0 |
Everyone who is kind is both not funny and old and vice versa. If someone is strong then someone is both funny and not calm. Everyone who is not patient or not tall is not brave or rich and vice versa. If someone is wise or not patient then someone is not quiet or not calm. If someone is both not strong and not curious... | Lucy is funny. | contradiction | (![X]:(kind(X)<=>(~funny(X)&old(X))))&
((?[X]:(strong(X)))=>(?[X]:((funny(X)&~calm(X)))))&
(![X]:((~patient(X)|~tall(X))<=>(~brave(X)|rich(X))))&
((?[X]:((wise(X)|~patient(X))))=>(?[X]:((~quiet(X)|~calm(X)))))&
((?[X]:((~strong(X)&~curious(X))))=>(?[X]:((~patient(X)&~happy(X)))))&
(![X]:((happy(X)&humble(X))<=>(~old(X)... | funny(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7270728276955788888279889
% SZS output start Proof for 7270728276955788888279889
19. ~strong(lucy) & ~funny(lucy) [input p18]
25. funny(lucy) [input hypothesis]
148. ~funny(lucy) [cnf transformation 19]
157. funny(lucy) [cnf transformation 25]
343. $false [subsumption resolution 157,148]
... | 0 |
Everyone who is not rich is both not generous and rich and vice versa.
Everyone who is both not rich and not wise is both wise and not funny.
If lucy is not brave or patient then alice is either strong or rich.
If john is calm then someone is both not strong and not creative and vice versa.
If mary is calm or quiet the... | Fred is generous. | entailment | (![X]:(~rich(X)<=>(~generous(X)&rich(X))))&
(![X]:((~rich(X)&~wise(X))=>(wise(X)&~funny(X))))&
(((~brave(lucy)|patient(lucy)))=>((strong(alice)<~>rich(alice))))&
((calm(john))<=>(?[X]:((~strong(X)&~creative(X)))))&
(((calm(mary)|quiet(mary)))=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((quiet(X)&~wise(X))))=>((happy(ali... | generous(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4463965393435788007826670
% SZS output start Proof for 4463965393435788007826670
1. ! [X0] : (~rich(X0) <=> (rich(X0) & ~generous(X0))) [input p0]
22. ~generous(fred) [input hypothesis]
39. ! [X0] : ((~rich(X0) | (~rich(X0) | generous(X0))) & ((rich(X0) & ~generous(X0)) | rich(X0))) [nnf ... | 0 |
If someone is either generous or not calm then paul is both not creative and not brave.
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not ha... | Paul is not creative. | entailment | ((?[X]:((generous(X)<~>~calm(X))))=>((~creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&... | ~creative(paul) | [
"p0",
"p5",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 933462265950249779288506
% SZS output start Proof for 933462265950249779288506
1. ? [X0] : (generous(X0) <~> ~calm(X0)) => (~brave(paul) & ~creative(paul)) [input p0]
6. ! [X0] : ((~curious(X0) | curious(X0)) => generous(X0)) [input p5]
10. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> (cre... | 0 |
If someone is not kind or not humble then paul is either funny or not calm and vice versa.
Everyone who is wise is both not calm and not tall and vice versa.
Everyone who is either humble or tall is both not creative and not strong.
Everyone who is either strong or tall is either not humble or not curious.
Everyone who... | Paul is not brave. | neutral | ((?[X]:((~kind(X)|~humble(X))))<=>((funny(paul)<~>~calm(paul))))&
(![X]:(wise(X)<=>(~calm(X)&~tall(X))))&
(![X]:((humble(X)<~>tall(X))=>(~creative(X)&~strong(X))))&
(![X]:((strong(X)<~>tall(X))=>(~humble(X)<~>~curious(X))))&
(![X]:((~tall(X)|funny(X))<=>(humble(X)&~tall(X))))&
(![X]:(funny(X)<=>(~kind(X)|patient(X))))&... | ~brave(paul) | [] | null | 0 |
Everyone who is both not creative and not kind is not patient or wise.
Everyone who is kind is both not generous and creative and vice versa.
Everyone who is not quiet or not curious is both not funny and not strong.
If someone is strong or quiet then mary is both rich and tall.
Everyone who is both funny and happy is ... | Fred is not calm. | entailment | (![X]:((~creative(X)&~kind(X))=>(~patient(X)|wise(X))))&
(![X]:(kind(X)<=>(~generous(X)&creative(X))))&
(![X]:((~quiet(X)|~curious(X))=>(~funny(X)&~strong(X))))&
((?[X]:((strong(X)|quiet(X))))=>((rich(mary)&tall(mary))))&
(![X]:((funny(X)&happy(X))<=>(~happy(X)&~calm(X))))&
(![X]:((happy(X)&funny(X))=>(happy(X)&~rich(X... | ~calm(fred) | [
"p1",
"p2",
"p6",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8857748975295996499317907
% SZS output start Proof for 8857748975295996499317907
2. ! [X0] : (kind(X0) <=> (creative(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (~strong(X0) & ~funny(X0))) [input p2]
7. ! [X0] : ((~calm(X0) | funny(X0)) <=> (creative(X0) &... | 0 |
Everyone who is funny or not calm is both not quiet and humble. If someone is either not strong or not creative then fred is either creative or not old. Everyone who is both not curious and old is kind and vice versa. Everyone who is quiet or calm is not curious and vice versa. Everyone who is not humble is calm. Every... | Mary is happy. | neutral | (![X]:((funny(X)|~calm(X))=>(~quiet(X)&humble(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>((creative(fred)<~>~old(fred))))&
(![X]:((~curious(X)&old(X))<=>kind(X)))&
(![X]:((quiet(X)|calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>calm(X)))&
(![X]:((patient(X)&funny(X))=>(curious(X)|rich(X))))&
(![X]:((~rich(X)|patient(X... | happy(mary) | [] | null | 0 |
Everyone who is both tall and happy is both calm and wise and vice versa.
Everyone who is not creative is either funny or happy.
If john is both not kind and not wise then fred is both calm and brave and vice versa.
Everyone who is both tall and brave is both rich and not brave and vice versa.
If someone is either not ... | John is wise. | entailment | (![X]:((tall(X)&happy(X))<=>(calm(X)&wise(X))))&
(![X]:(~creative(X)=>(funny(X)<~>happy(X))))&
(((~kind(john)&~wise(john)))<=>((calm(fred)&brave(fred))))&
(![X]:((tall(X)&brave(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~strong(X)<~>tall(X))))=>(?[X]:(kind(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(~happy(X)|~calm(X))))&
(!... | wise(john) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5344407564288690916586387
% SZS output start Proof for 5344407564288690916586387
1. ! [X0] : ((happy(X0) & tall(X0)) <=> (wise(X0) & calm(X0))) [input p0]
6. ! [X0] : ((~wise(X0) <~> ~creative(X0)) <=> (~calm(X0) | ~happy(X0))) [input p5]
10. ! [X0] : ((~creative(X0) & creative(X0)) <=> (... | 0 |
Everyone who is either not happy or quiet is not calm and vice versa.
Everyone who is not happy is creative.
If someone is either quiet or not generous then mary is rich and vice versa.
Everyone who is patient is both not brave and not strong.
Everyone who is either not strong or funny is either not curious or rich and... | Paul is not patient. | neutral | (![X]:((~happy(X)<~>quiet(X))<=>~calm(X)))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:((quiet(X)<~>~generous(X))))<=>(rich(mary)))&
(![X]:(patient(X)=>(~brave(X)&~strong(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(~curious(X)<~>rich(X))))&
((~old(lucy))=>(?[X]:(wise(X))))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((~quiet(X)&~... | ~patient(paul) | [] | null | 0 |
Everyone who is creative or not generous is wise.
Everyone who is brave or not rich is not wise or not generous and vice versa.
Everyone who is not quiet or creative is either not quiet or happy and vice versa.
Everyone who is both not quiet and not calm is old or not humble and vice versa.
Everyone who is not calm is ... | Alice is rich. | contradiction | (![X]:((creative(X)|~generous(X))=>wise(X)))&
(![X]:((brave(X)|~rich(X))<=>(~wise(X)|~generous(X))))&
(![X]:((~quiet(X)|creative(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((~quiet(X)&~calm(X))<=>(old(X)|~humble(X))))&
(![X]:(~calm(X)<=>(wise(X)|strong(X))))&
(![X]:(calm(X)<=>(~calm(X)|~funny(X))))&
(![X]:((calm(X)<~>~funny... | rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6627840819426939695748091
% SZS output start Proof for 6627840819426939695748091
2. ! [X0] : ((~rich(X0) | brave(X0)) <=> (~generous(X0) | ~wise(X0))) [input p1]
4. ! [X0] : ((~calm(X0) & ~quiet(X0)) <=> (~humble(X0) | old(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (strong(X0) | wise(X0)... | 0 |
Everyone who is old is not brave and vice versa. If fred is not rich or not old then john is quiet or not tall and vice versa. If someone is either not curious or happy then someone is both old and creative. If someone is not kind then someone is both tall and not strong and vice versa. If mary is not funny or strong t... | Fred is strong. | entailment | (![X]:(old(X)<=>~brave(X)))&
(((~rich(fred)|~old(fred)))<=>((quiet(john)|~tall(john))))&
((?[X]:((~curious(X)<~>happy(X))))=>(?[X]:((old(X)&creative(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((tall(X)&~strong(X)))))&
(((~funny(mary)|strong(mary)))<=>(curious(fred)))&
((?[X]:((~quiet(X)<~>~rich(X))))=>((rich(john)&~tall(john))... | strong(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 439735282068684658667266
% SZS output start Proof for 439735282068684658667266
14. (~patient(susan) | patient(susan)) => (happy(fred) & strong(fred)) [input p13]
24. ~strong(fred) [input hypothesis]
39. (happy(fred) & strong(fred)) | (patient(susan) & ~patient(susan)) [ennf transformation... | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Susan is not humble. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | ~humble(susan) | [
"p2",
"p3",
"p5",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5786044982220702808283451
% SZS output start Proof for 5786044982220702808283451
3. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~curious(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~curious(X0)) => funny(X0)) [input p3]
6. ! [X0] : (~generous(X0) <=> (quiet(X0) | ~strong(X... | 0 |
If paul is either not tall or calm then paul is both not patient and calm. If susan is not old then fred is both tall and not strong. If alice is either patient or old then someone is both not strong and humble. Everyone who is not strong is calm or brave and vice versa. Everyone who is both kind and calm is brave or s... | Lucy is not brave. | entailment | (((~tall(paul)<~>calm(paul)))=>((~patient(paul)&calm(paul))))&
((~old(susan))=>((tall(fred)&~strong(fred))))&
(((patient(alice)<~>old(alice)))=>(?[X]:((~strong(X)&humble(X)))))&
(![X]:(~strong(X)<=>(calm(X)|brave(X))))&
(![X]:((kind(X)&calm(X))<=>(brave(X)|strong(X))))&
(![X]:((happy(X)<~>~rich(X))=>quiet(X)))&
((?[X]:... | ~brave(lucy) | [
"p3",
"p4",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7081164957900279539514140
% SZS output start Proof for 7081164957900279539514140
4. ! [X0] : (~strong(X0) <=> (brave(X0) | calm(X0))) [input p3]
5. ! [X0] : ((calm(X0) & kind(X0)) <=> (strong(X0) | brave(X0))) [input p4]
8. ! [X0] : ((~happy(X0) <~> ~strong(X0)) <=> (patient(X0) & ~brave(... | 0 |
If someone is either curious or happy then someone is not old. If someone is either not happy or curious then someone is both quiet and wise. Everyone who is not wise or humble is not kind and vice versa. If someone is either not happy or humble then john is either not curious or not brave and vice versa. If john is ei... | John is rich. | neutral | ((?[X]:((curious(X)<~>happy(X))))=>(?[X]:(~old(X))))&
((?[X]:((~happy(X)<~>curious(X))))=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:((~wise(X)|humble(X))<=>~kind(X)))&
((?[X]:((~happy(X)<~>humble(X))))<=>((~curious(john)<~>~brave(john))))&
(((~tall(john)<~>rich(john)))=>(?[X]:((strong(X)&~strong(X)))))&
((?[X]:((~old(X)<~>~h... | rich(john) | [] | null | 0 |
If someone is not brave or wise then someone is both brave and calm. Everyone who is either not tall or not happy is tall or not quiet and vice versa. If someone is patient or strong then someone is funny and vice versa. Everyone who is both not humble and kind is strong and vice versa. Everyone who is both not quiet a... | Lucy is not wise. | entailment | ((?[X]:((~brave(X)|wise(X))))=>(?[X]:((brave(X)&calm(X)))))&
(![X]:((~tall(X)<~>~happy(X))<=>(tall(X)|~quiet(X))))&
((?[X]:((patient(X)|strong(X))))<=>(?[X]:(funny(X))))&
(![X]:((~humble(X)&kind(X))<=>strong(X)))&
(![X]:((~quiet(X)&~brave(X))<=>calm(X)))&
(![X]:((~kind(X)<~>curious(X))=>(~wise(X)&brave(X))))&
(![X]:((b... | ~wise(lucy) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4056092758360892340458078
% SZS output start Proof for 4056092758360892340458078
1. ? [X0] : (wise(X0) | ~brave(X0)) => ? [X0] : (calm(X0) & brave(X0)) [input p0]
5. ! [X0] : ((~brave(X0) & ~quiet(X0)) <=> calm(X0)) [input p4]
24. wise(lucy) [input hypothesis]
25. ? [X0] : (wise(X0) | ~br... | 0 |
Everyone who is either not patient or not kind is either tall or happy and vice versa. Everyone who is happy or not creative is either calm or not happy and vice versa. Everyone who is both rich and creative is both not old and calm and vice versa. If paul is not calm or patient then someone is happy and vice versa. Ev... | Lucy is strong. | neutral | (![X]:((~patient(X)<~>~kind(X))<=>(tall(X)<~>happy(X))))&
(![X]:((happy(X)|~creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)&calm(X))))&
(((~calm(paul)|patient(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~rich(X)&~patient(X))))&
(((~tall(mary)|~curious(mary)))=>((~b... | strong(lucy) | [] | null | 0 |
Everyone who is either not old or tall is both humble and not humble and vice versa. If susan is both quiet and brave then someone is either not rich or rich. If someone is calm then mary is both not kind and not rich. Everyone who is either curious or rich is either calm or not calm and vice versa. Everyone who is cal... | Fred is curious. | contradiction | (![X]:((~old(X)<~>tall(X))<=>(humble(X)&~humble(X))))&
(((quiet(susan)&brave(susan)))=>(?[X]:((~rich(X)<~>rich(X)))))&
((?[X]:(calm(X)))=>((~kind(mary)&~rich(mary))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)<~>~calm(X))))&
(![X]:(calm(X)=>wise(X)))&
(![X]:((~quiet(X)|funny(X))<=>(~tall(X)&creative(X))))&
((~old(fred))... | curious(fred) | [
"p4",
"p6",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 728647701776128776574579
% SZS output start Proof for 728647701776128776574579
5. ! [X0] : (calm(X0) => wise(X0)) [input p4]
7. ~old(fred) => (~kind(alice) & calm(alice)) [input p6]
11. ! [X0] : (wise(X0) => (~strong(X0) & ~wise(X0))) [input p10]
12. ! [X0] : (~brave(X0) <=> (~old(X0) <~>... | 0 |
Everyone who is either not quiet or not creative is not old and vice versa. Everyone who is both not rich and calm is either not wise or wise and vice versa. Everyone who is wise is funny and vice versa. Everyone who is not curious is both not old and patient and vice versa. If susan is both not wise and not generous t... | Lucy is not patient. | entailment | (![X]:((~quiet(X)<~>~creative(X))<=>~old(X)))&
(![X]:((~rich(X)&calm(X))<=>(~wise(X)<~>wise(X))))&
(![X]:(wise(X)<=>funny(X)))&
(![X]:(~curious(X)<=>(~old(X)&patient(X))))&
(((~wise(susan)&~generous(susan)))<=>(?[X]:((~humble(X)|strong(X)))))&
((?[X]:((~rich(X)<~>generous(X))))<=>(happy(fred)))&
((?[X]:(~happy(X)))<=>(... | ~patient(lucy) | [
"p3",
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8426290097483039267430783
% SZS output start Proof for 8426290097483039267430783
4. ! [X0] : (~curious(X0) <=> (patient(X0) & ~old(X0))) [input p3]
5. (~generous(susan) & ~wise(susan)) <=> ? [X0] : (strong(X0) | ~humble(X0)) [input p4]
8. ! [X0] : ((wise(X0) | kind(X0)) <=> generous(X0)) ... | 0 |
If john is either not old or brave then someone is not happy and vice versa. If someone is not funny then lucy is both rich and not creative. If lucy is not creative or rich then alice is not tall and vice versa. If someone is both not kind and wise then susan is either creative or not kind. Everyone who is both kind a... | John is kind. | neutral | (((~old(john)<~>brave(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall(X)<~>~wise(X))))<=>(?[X]:(old(X))))&
... | kind(john) | [] | null | 0 |
If fred is either not humble or not wise then someone is both brave and not generous.
If someone is either tall or rich then john is kind and vice versa.
If someone is generous then someone is both not brave and not curious and vice versa.
Everyone who is not happy or not brave is either kind or not brave and vice vers... | Susan is not tall. | contradiction | (((~humble(fred)<~>~wise(fred)))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((tall(X)<~>rich(X))))<=>(kind(john)))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(kind(X)<~>~brave(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((~kind(X)&curi... | ~tall(susan) | [
"p5",
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5699218262699593352439018
% SZS output start Proof for 5699218262699593352439018
6. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (~tall(X0) <~> strong(X0))) [input p5]
10. ! [X0] : (~strong(X0) <=> (strong(X0) <~> ~generous(X0))) [input p9]
14. generous(paul) <=> ? [X0] : (~kind(X0) | generous... | 0 |
If someone is tall or not strong then someone is patient and vice versa.
Everyone who is not strong is calm and vice versa.
Everyone who is not creative is both not strong and patient and vice versa.
Everyone who is both happy and wise is not brave or kind.
If someone is either not calm or not rich then someone is both... | Susan is not tall. | contradiction | ((?[X]:((tall(X)|~strong(X))))<=>(?[X]:(patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:(~creative(X)<=>(~strong(X)&patient(X))))&
(![X]:((happy(X)&wise(X))=>(~brave(X)|kind(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>(?[X]:((creative(X)&rich(X)))))&
((?[X]:(~humble(X)))<=>((~curious(fred)<~>~calm(fred))))&
(((old(susa... | ~tall(susan) | [
"p7",
"p8",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3724915627461133136976583
% SZS output start Proof for 3724915627461133136976583
8. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> ~humble(X0)) [input p7]
9. ! [X0] : (~happy(X0) <=> wise(X0)) [input p8]
11. ! [X0] : ((wise(X0) <~> ~calm(X0)) <=> (tall(X0) & creative(X0))) [input p10]
13. ! [X0] :... | 0 |
If someone is generous or not tall then someone is rich.
Everyone who is not kind or generous is generous and vice versa.
Everyone who is either old or kind is not wise or rich and vice versa.
If john is either humble or not strong then paul is both rich and not funny.
If mary is not generous then someone is either cal... | John is rich. | entailment | ((?[X]:((generous(X)|~tall(X))))=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|generous(X))<=>generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~wise(X)|rich(X))))&
(((humble(john)<~>~strong(john)))=>((rich(paul)&~funny(paul))))&
((~generous(mary))=>(?[X]:((calm(X)<~>humble(X)))))&
(((quiet(alice)<~>tall(alice)))<=>(?[X]:((wise(X)<~>... | rich(john) | [
"p1",
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5457949409123001366440820
% SZS output start Proof for 5457949409123001366440820
2. ! [X0] : ((generous(X0) | ~kind(X0)) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) <~> kind(X0)) <=> (rich(X0) | ~wise(X0))) [input p2]
12. ! [X0] : ((old(X0) & ~generous(X0)) <=> (generous(X0) <~> ~w... | 0 |
If someone is kind then lucy is not old and vice versa.
If someone is both wise and kind then someone is both old and not rich and vice versa.
Everyone who is both creative and not curious is not strong or wise.
If lucy is either not humble or not tall then john is either not creative or not rich and vice versa.
Everyo... | Fred is not curious. | contradiction | ((?[X]:(kind(X)))<=>(~old(lucy)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:((old(X)&~rich(X)))))&
(![X]:((creative(X)&~curious(X))=>(~strong(X)|wise(X))))&
(((~humble(lucy)<~>~tall(lucy)))<=>((~creative(john)<~>~rich(john))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)<~>patient(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:... | ~curious(fred) | [
"p8",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4143852529789206495598188
% SZS output start Proof for 4143852529789206495598188
9. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (wise(X0) | ~creative(X0))) [input p8]
11. ! [X0] : ((kind(X0) | quiet(X0)) => generous(X0)) [input p10]
12. ! [X0] : ((~calm(X0) | ~wise(X0)) => ~quiet(X0)) [inp... | 0 |
Everyone who is funny is not calm and vice versa.
Everyone who is strong or not tall is both tall and not kind and vice versa.
If lucy is old or calm then alice is both calm and patient and vice versa.
Everyone who is not kind is not quiet and vice versa.
If someone is both not tall and curious then alice is old or hum... | Fred is not creative. | contradiction | (![X]:(funny(X)<=>~calm(X)))&
(![X]:((strong(X)|~tall(X))<=>(tall(X)&~kind(X))))&
(((old(lucy)|calm(lucy)))<=>((calm(alice)&patient(alice))))&
(![X]:(~kind(X)<=>~quiet(X)))&
((?[X]:((~tall(X)&curious(X))))=>((old(alice)|humble(alice))))&
(![X]:((creative(X)&~calm(X))=>(humble(X)&~old(X))))&
((?[X]:((~creative(X)<~>~hum... | ~creative(fred) | [
"p1",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8232696430826031207874760
% SZS output start Proof for 8232696430826031207874760
2. ! [X0] : ((~tall(X0) | strong(X0)) <=> (~kind(X0) & tall(X0))) [input p1]
7. ? [X0] : (~creative(X0) <~> ~humble(X0)) <=> (~rich(alice) & ~humble(alice)) [input p6]
9. ? [X0] : ~rich(X0) => ? [X0] : ~tall(... | 0 |
If someone is both not curious and strong then lucy is not tall or not rich.
Everyone who is strong or brave is old or strong.
Everyone who is either humble or kind is either not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either... | Alice is not brave. | entailment | ((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funn... | ~brave(alice) | [
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3351981385624948821685706
% SZS output start Proof for 3351981385624948821685706
6. (~funny(john) & ~brave(john)) <=> (funny(alice) <~> patient(alice)) [input p5]
9. ! [X0] : ((brave(X0) <~> ~patient(X0)) => (brave(X0) <~> wise(X0))) [input p8]
10. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~... | 0 |
Everyone who is both not generous and not rich is both rich and not creative and vice versa.
Everyone who is not calm is not patient or strong and vice versa.
Everyone who is either not humble or calm is not calm or creative.
Everyone who is not calm is old or not rich and vice versa.
If lucy is curious or not humble t... | Alice is not humble. | contradiction | (![X]:((~generous(X)&~rich(X))<=>(rich(X)&~creative(X))))&
(![X]:(~calm(X)<=>(~patient(X)|strong(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~calm(X)|creative(X))))&
(![X]:(~calm(X)<=>(old(X)|~rich(X))))&
(((curious(lucy)|~humble(lucy)))<=>((~humble(lucy)|~strong(lucy))))&
((?[X]:((~calm(X)&~rich(X))))<=>((~creative(alice)<... | ~humble(alice) | [
"p0",
"p1",
"p5",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2738380160439431708256176
% SZS output start Proof for 2738380160439431708256176
1. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) & rich(X0))) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~patient(X0))) [input p1]
6. ? [X0] : (~rich(X0) & ~calm(X0)) <=> (~creative(alice)... | 0 |
If lucy is not tall then someone is both calm and not rich and vice versa. If john is kind then someone is not wise or curious. If fred is not brave or old then someone is both tall and not calm. Everyone who is humble or kind is either strong or brave. If susan is either funny or patient then alice is both kind and no... | John is not curious. | entailment | ((~tall(lucy))<=>(?[X]:((calm(X)&~rich(X)))))&
((kind(john))=>(?[X]:((~wise(X)|curious(X)))))&
(((~brave(fred)|old(fred)))=>(?[X]:((tall(X)&~calm(X)))))&
(![X]:((humble(X)|kind(X))=>(strong(X)<~>brave(X))))&
(((funny(susan)<~>patient(susan)))=>((kind(alice)&~happy(alice))))&
(((~old(paul)&~patient(paul)))<=>((~rich(fre... | ~curious(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1984377101630454477242418
% SZS output start Proof for 1984377101630454477242418
14. ! [X0] : ((humble(X0) | ~humble(X0)) => ~curious(X0)) [input p13]
25. curious(john) [input hypothesis]
35. ! [X0] : (~curious(X0) | (~humble(X0) & humble(X0))) [ennf transformation 14]
110. ~curious(X0) |... | 0 |
If someone is both not humble and kind then susan is curious and vice versa.
If someone is not kind or not strong then someone is both not quiet and not kind and vice versa.
Everyone who is both calm and rich is either not brave or strong.
Everyone who is curious or not patient is both not brave and tall and vice versa... | Susan is not calm. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>(curious(susan)))&
((?[X]:((~kind(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~brave(X)&tall(X))))&
(((~patient(alice)<~>~funny(alice)))<=>((~creative(john)<~>~quiet(john))))&
(![X]:((creative... | ~calm(susan) | [
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2553928654302252051818370
% SZS output start Proof for 2553928654302252051818370
4. ! [X0] : ((~patient(X0) | curious(X0)) <=> (tall(X0) & ~brave(X0))) [input p3]
12. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~calm(X0) & patient(X0))) [input p11]
15. (~kind(susan) | brave(susan)) => (~c... | 0 |
Everyone who is not creative or not brave is both patient and not humble.
If susan is kind then john is either not wise or wise.
If john is not funny or curious then someone is not humble or curious.
Everyone who is either happy or rich is both not quiet and calm.
Everyone who is either not patient or tall is not tall ... | Fred is wise. | contradiction | (![X]:((~creative(X)|~brave(X))=>(patient(X)&~humble(X))))&
((kind(susan))=>((~wise(john)<~>wise(john))))&
(((~funny(john)|curious(john)))=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:((happy(X)<~>rich(X))=>(~quiet(X)&calm(X))))&
(![X]:((~patient(X)<~>tall(X))<=>(~tall(X)|generous(X))))&
((?[X]:(~strong(X)))<=>((creative(... | wise(fred) | [
"p0",
"p4",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1826218188358236300789994
% SZS output start Proof for 1826218188358236300789994
1. ! [X0] : ((~brave(X0) | ~creative(X0)) => (~humble(X0) & patient(X0))) [input p0]
5. ! [X0] : ((~patient(X0) <~> tall(X0)) <=> (generous(X0) | ~tall(X0))) [input p4]
9. ! [X0] : ((funny(X0) & ~tall(X0)) <=... | 0 |
If someone is humble then lucy is not funny or quiet and vice versa.
If someone is tall or not old then paul is quiet.
Everyone who is either tall or brave is either not strong or not creative and vice versa.
Everyone who is quiet or kind is either not generous or not patient and vice versa.
If mary is not quiet or hap... | Lucy is not strong. | contradiction | ((?[X]:(humble(X)))<=>((~funny(lucy)|quiet(lucy))))&
((?[X]:((tall(X)|~old(X))))=>(quiet(paul)))&
(![X]:((tall(X)<~>brave(X))<=>(~strong(X)<~>~creative(X))))&
(![X]:((quiet(X)|kind(X))<=>(~generous(X)<~>~patient(X))))&
(((~quiet(mary)|happy(mary)))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(calm... | ~strong(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5934010701214878597210053
% SZS output start Proof for 5934010701214878597210053
3. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~strong(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : ((kind(X0) | quiet(X0)) <=> (~generous(X0) <~> ~patient(X0))) [input p3]
7. ! [X0] : ((creative(X0) <~> ~calm(... | 0 |
Everyone who is humble is patient and vice versa. Everyone who is either not tall or not wise is not strong. Everyone who is either rich or not strong is not curious or brave and vice versa. Everyone who is not generous or not humble is calm or curious. Everyone who is either not calm or not happy is either not strong ... | Susan is patient. | neutral | (![X]:(humble(X)<=>patient(X)))&
(![X]:((~tall(X)<~>~wise(X))=>~strong(X)))&
(![X]:((rich(X)<~>~strong(X))<=>(~curious(X)|brave(X))))&
(![X]:((~generous(X)|~humble(X))=>(calm(X)|curious(X))))&
(![X]:((~calm(X)<~>~happy(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~strong(X))=>(curious(X)&strong(X))))&
(![X]:(h... | patient(susan) | [] | null | 0 |
Everyone who is not funny is both patient and not old and vice versa. Everyone who is humble is either not tall or not old. If someone is not old then someone is either not brave or quiet and vice versa. Everyone who is old is both wise and not rich and vice versa. Everyone who is patient or old is both quiet and not k... | Lucy is not patient. | entailment | (![X]:(~funny(X)<=>(patient(X)&~old(X))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(quiet(X)<~>old(X))))&
(![X]:((~calm(X)&calm(X))=>(calm(X)<~... | ~patient(lucy) | [
"p4",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 762569315823105539357076
% SZS output start Proof for 762569315823105539357076
5. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> (quiet(X0) <~> old(X0))) [input p5]
10. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (kind(X0)... | 0 |
If someone is not strong then someone is both not kind and not tall.
Everyone who is both not brave and generous is either wise or not tall and vice versa.
Everyone who is not strong is either not wise or not kind and vice versa.
If someone is both rich and quiet then someone is rich and vice versa.
Everyone who is eit... | Lucy is not strong. | contradiction | ((?[X]:(~strong(X)))=>(?[X]:((~kind(X)&~tall(X)))))&
(![X]:((~brave(X)&generous(X))<=>(wise(X)<~>~tall(X))))&
(![X]:(~strong(X)<=>(~wise(X)<~>~kind(X))))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(~quiet(X)&calm(X))))&
(![X]:((~quiet(X)&~calm(X))=>(~funny(X)|generous(X))))&
(!... | ~strong(lucy) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7142978805695969495764972
% SZS output start Proof for 7142978805695969495764972
5. ! [X0] : ((~quiet(X0) <~> ~strong(X0)) <=> (calm(X0) & ~quiet(X0))) [input p4]
16. ! [X0] : ((~strong(X0) <~> ~generous(X0)) <=> (~generous(X0) | calm(X0))) [input p15]
25. ~strong(lucy) [input hypothesis]... | 0 |
If mary is wise then someone is both not wise and 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 is not patient. Everyone who is not strong or patient is not generous and v... | Lucy is strong. | entailment | ((wise(mary))<=>(?[X]:((~wise(X)&kind(X)))))&
((?[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(lucy)|funny(lucy)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~h... | strong(lucy) | [
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 998467286761794580600256
% SZS output start Proof for 998467286761794580600256
12. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p11]
16. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(fred)) [input p15]
24. ~generous(alice) [input p23]
25. ~strong(lucy) [input hypo... | 0 |
If someone is either creative or not patient then lucy is not patient or not calm and vice versa.
If john is not calm or happy then someone is not happy.
Everyone who is either not quiet or wise is either not strong or curious and vice versa.
If someone is old or not brave then someone is generous or not wise and vice ... | Mary is not old. | entailment | ((?[X]:((creative(X)<~>~patient(X))))<=>((~patient(lucy)|~calm(lucy))))&
(((~calm(john)|happy(john)))=>(?[X]:(~happy(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(~strong(X)<~>curious(X))))&
((?[X]:((old(X)|~brave(X))))<=>(?[X]:((generous(X)|~wise(X)))))&
((?[X]:((~generous(X)|~wise(X))))<=>(?[X]:(~generous(X))))&
((~creative... | ~old(mary) | [
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6898460534697945551475269
% SZS output start Proof for 6898460534697945551475269
14. ! [X0] : ((funny(X0) & calm(X0)) <=> ~strong(X0)) [input p13]
18. brave(mary) & ~calm(mary) [input p17]
23. strong(mary) <~> old(mary) [input p22]
25. old(mary) [input hypothesis]
69. ! [X0] : (((funny(X0... | 0 |
Everyone who is strong is both tall and not generous and vice versa.
Everyone who is both not kind and not creative is either not brave or not kind and vice versa.
Everyone who is either not calm or not funny is not humble and vice versa.
Everyone who is both patient and calm is either tall or curious and vice versa.
I... | John is not brave. | neutral | (![X]:(strong(X)<=>(tall(X)&~generous(X))))&
(![X]:((~kind(X)&~creative(X))<=>(~brave(X)<~>~kind(X))))&
(![X]:((~calm(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((patient(X)&calm(X))<=>(tall(X)<~>curious(X))))&
((?[X]:((generous(X)&~generous(X))))=>(~generous(john)))&
(![X]:((~quiet(X)|~patient(X))=>(~funny(X)|~old(X))))&
(... | ~brave(john) | [] | null | 0 |
Everyone who is either not humble or humble is both not wise and not happy and vice versa.
Everyone who is not patient is not creative or kind and vice versa.
Everyone who is not funny or not creative is curious and vice versa.
Everyone who is not rich or not happy is creative or not patient.
Everyone who is either not... | Susan is funny. | entailment | (![X]:((~humble(X)<~>humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~brave(X)&generou... | funny(susan) | [
"p0",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3151154545019806573649432
% SZS output start Proof for 3151154545019806573649432
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p0]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (generous(X0) & ~brave(X0))) [input p5]
12. ! [X0] : ((~funny(X0) <~> brave(X0)) ... | 0 |
Everyone who is not curious or not tall is calm and vice versa. If someone is both creative and kind then someone is both not creative and not patient. If someone is not tall then someone is funny or curious and vice versa. Everyone who is not humble is either funny or not happy and vice versa. Everyone who is kind or ... | Mary is creative. | neutral | (![X]:((~curious(X)|~tall(X))<=>calm(X)))&
((?[X]:((creative(X)&kind(X))))=>(?[X]:((~creative(X)&~patient(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((funny(X)|curious(X)))))&
(![X]:(~humble(X)<=>(funny(X)<~>~happy(X))))&
(![X]:((kind(X)|strong(X))<=>(rich(X)|~brave(X))))&
(((rich(susan)&generous(susan)))=>(?[X]:((~generous(X)... | creative(mary) | [] | null | 0 |
If susan is tall or not quiet then someone is both not rich and wise and vice versa.
Everyone who is not quiet or humble is not old or not kind.
If alice is either happy or not wise then mary is either calm or not calm.
Everyone who is quiet or brave is not curious.
If someone is both not brave and generous then alice ... | Fred is generous. | entailment | (((tall(susan)|~quiet(susan)))<=>(?[X]:((~rich(X)&wise(X)))))&
(![X]:((~quiet(X)|humble(X))=>(~old(X)|~kind(X))))&
(((happy(alice)<~>~wise(alice)))=>((calm(mary)<~>~calm(mary))))&
(![X]:((quiet(X)|brave(X))=>~curious(X)))&
((?[X]:((~brave(X)&generous(X))))<=>((funny(alice)&old(alice))))&
((?[X]:((creative(X)<~>curious(... | generous(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4596098314944686635223487
% SZS output start Proof for 4596098314944686635223487
13. ! [X0] : (~happy(X0) <=> (generous(X0) <~> happy(X0))) [input p12]
24. ~generous(fred) [input hypothesis]
63. ! [X0] : ((~happy(X0) | ((generous(X0) | ~happy(X0)) & (happy(X0) | ~generous(X0)))) & (((~hap... | 0 |
Everyone who is kind is not brave.
If fred is not funny then susan is either brave or curious.
Everyone who is both kind and not happy is not rich or not tall.
If alice is both not strong and not calm then lucy is either calm or not generous.
If someone is both not old and not curious then someone is either creative or... | Mary is not generous. | entailment | (![X]:(kind(X)=>~brave(X)))&
((~funny(fred))=>((brave(susan)<~>curious(susan))))&
(![X]:((kind(X)&~happy(X))=>(~rich(X)|~tall(X))))&
(((~strong(alice)&~calm(alice)))=>((calm(lucy)<~>~generous(lucy))))&
((?[X]:((~old(X)&~curious(X))))=>(?[X]:((creative(X)<~>brave(X)))))&
((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((tall... | ~generous(mary) | [
"p7",
"p8",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2179697522678539077292075
% SZS output start Proof for 2179697522678539077292075
8. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (wise(X0) | ~quiet(X0))) [input p7]
9. ! [X0] : ((quiet(X0) & wise(X0)) <=> (funny(X0) & generous(X0))) [input p8]
10. ! [X0] : ((quiet(X0) | ~quiet(X0)) => (wis... | 0 |
Everyone who is both creative and not brave is either not generous or not happy.
Everyone who is both not calm and not humble is both generous and not kind and vice versa.
Everyone who is both not rich and old is not humble.
Everyone who is both patient and not old is either not funny or funny and vice versa.
Everyone ... | Fred is calm. | contradiction | (![X]:((creative(X)&~brave(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((~calm(X)&~humble(X))<=>(generous(X)&~kind(X))))&
(![X]:((~rich(X)&old(X))=>~humble(X)))&
(![X]:((patient(X)&~old(X))<=>(~funny(X)<~>funny(X))))&
(![X]:(happy(X)<=>~curious(X)))&
(![X]:((curious(X)|~brave(X))<=>(patient(X)<~>calm(X))))&
(![X]:(~calm(X... | calm(fred) | [
"p3",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3703521910216462774862
% SZS output start Proof for 3703521910216462774862
4. ! [X0] : ((~old(X0) & patient(X0)) <=> (~funny(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (happy(X0) <=> ~curious(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | curious(X0)) <=> (patient(X0) <~> calm(X0))) [input p5... | 0 |
If someone is either generous or calm then someone is either curious or funny.
Everyone who is not rich is wise.
If susan is calm or strong then john is both not funny and funny and vice versa.
Everyone who is not wise is both not brave and not humble.
Everyone who is either not creative or not quiet is both calm and p... | John is calm. | entailment | ((?[X]:((generous(X)<~>calm(X))))=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:(~rich(X)=>wise(X)))&
(((calm(susan)|strong(susan)))<=>((~funny(john)&funny(john))))&
(![X]:(~wise(X)=>(~brave(X)&~humble(X))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(calm(X)&patient(X))))&
(((~rich(alice)|~creative(alice)))<=>((calm(john)<~>~br... | calm(john) | [
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 297176351754496345349729
% SZS output start Proof for 297176351754496345349729
6. (~creative(alice) | ~rich(alice)) <=> (calm(john) <~> ~brave(john)) [input p5]
9. ! [X0] : ((~brave(X0) | happy(X0)) <=> (humble(X0) & curious(X0))) [input p8]
10. ! [X0] : ((~kind(X0) | curious(X0)) => (cre... | 0 |
Everyone who is either not happy or not old is both not rich and creative. Everyone who is either not humble or not kind is either tall or humble. Everyone who is not happy or not quiet is either patient or kind and vice versa. Everyone who is either humble or not happy is happy or generous and vice versa. If mary is n... | Alice is creative. | contradiction | (![X]:((~happy(X)<~>~old(X))=>(~rich(X)&creative(X))))&
(![X]:((~humble(X)<~>~kind(X))=>(tall(X)<~>humble(X))))&
(![X]:((~happy(X)|~quiet(X))<=>(patient(X)<~>kind(X))))&
(![X]:((humble(X)<~>~happy(X))<=>(happy(X)|generous(X))))&
((~kind(mary))<=>((creative(alice)<~>~tall(alice))))&
(((calm(mary)<~>rich(mary)))=>((~curi... | creative(alice) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 803759342125380038626725
% SZS output start Proof for 803759342125380038626725
1. ! [X0] : ((~happy(X0) <~> ~old(X0)) => (creative(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> ~kind(X0)) => (tall(X0) <~> humble(X0))) [input p1]
4. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> (g... | 0 |
Everyone who is either humble or not old is both old and curious.
If someone is humble or rich then mary is wise and vice versa.
Everyone who is either not kind or happy is brave.
Everyone who is calm is brave or not strong and vice versa.
If john is both happy and funny then someone is strong or not generous and vice ... | Lucy is not rich. | neutral | (![X]:((humble(X)<~>~old(X))=>(old(X)&curious(X))))&
((?[X]:((humble(X)|rich(X))))<=>(wise(mary)))&
(![X]:((~kind(X)<~>happy(X))=>brave(X)))&
(![X]:(calm(X)<=>(brave(X)|~strong(X))))&
(((happy(john)&funny(john)))<=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)&happy(X))))&
(![X]:((~humble(X)... | ~rich(lucy) | [] | null | 0 |
Everyone who is both not curious and generous is either not strong or tall and vice versa.
Everyone who is wise or generous is both brave and not brave and vice versa.
If someone is either kind or happy then someone is either not patient or not humble and vice versa.
Everyone who is either wise or not old is either not... | Susan is old. | contradiction | (![X]:((~curious(X)&generous(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((wise(X)|generous(X))<=>(brave(X)&~brave(X))))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((wise(X)<~>~old(X))=>(~happy(X)<~>~brave(X))))&
(![X]:((kind(X)&happy(X))<=>(tall(X)&humble(X))))&
((?[X]:((brave(X)|~quiet(X)... | old(susan) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1463741294323286099929629
% SZS output start Proof for 1463741294323286099929629
2. ! [X0] : ((generous(X0) | wise(X0)) <=> (~brave(X0) & brave(X0))) [input p1]
12. ! [X0] : (~generous(X0) <=> (~old(X0) & ~wise(X0))) [input p11]
25. old(susan) [input hypothesis]
41. ! [X0] : (((generous(X... | 0 |
Everyone who is not humble or not wise is not old and vice versa.
Everyone who is either not rich or humble is not old or not generous and vice versa.
Everyone who is not old is both not tall and wise and vice versa.
If alice is not humble then someone is either old or curious and vice versa.
Everyone who is both not q... | John is not creative. | contradiction | (![X]:((~humble(X)|~wise(X))<=>~old(X)))&
(![X]:((~rich(X)<~>humble(X))<=>(~old(X)|~generous(X))))&
(![X]:(~old(X)<=>(~tall(X)&wise(X))))&
((~humble(alice))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((~quiet(X)&~humble(X))=>~humble(X)))&
(![X]:((~tall(X)|~curious(X))=>(old(X)<~>~creative(X))))&
(![X]:(~patient(X)<=>(~ge... | ~creative(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p8",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 320623165917070512556882
% SZS output start Proof for 320623165917070512556882
1. ! [X0] : ((~wise(X0) | ~humble(X0)) <=> ~old(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (~generous(X0) | ~old(X0))) [input p1]
3. ! [X0] : (~old(X0) <=> (wise(X0) & ~tall(X0))) [input p2]
4.... | 0 |
Everyone who is both not tall and not generous is both calm and quiet.
If lucy is not creative or patient then paul is quiet or kind.
If someone is either not humble or not creative then someone is not strong and vice versa.
If someone is either not strong or quiet then someone is old and vice versa.
Everyone who is bo... | Susan is not quiet. | contradiction | (![X]:((~tall(X)&~generous(X))=>(calm(X)&quiet(X))))&
(((~creative(lucy)|patient(lucy)))=>((quiet(paul)|kind(paul))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~happy(X))=>(~rich(X)|brave(X))))&
((?[X]:((generous(X)<~>calm(X))))... | ~quiet(susan) | [
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3024352072691945473708541
% SZS output start Proof for 3024352072691945473708541
8. ! [X0] : (funny(X0) <=> (~funny(X0) | wise(X0))) [input p7]
13. ? [X0] : (happy(X0) | funny(X0)) <=> (~calm(susan) | ~funny(susan)) [input p12]
15. (~quiet(susan) <~> calm(susan)) <=> (~funny(fred) & patie... | 0 |
Everyone who is strong or not wise is both not curious and calm.
Everyone who is both old and not brave is generous.
If fred is either funny or wise then someone is not kind.
If paul is either humble or not humble then someone is both not funny and not tall and vice versa.
Everyone who is not calm or not creative is bo... | Fred is not kind. | contradiction | (![X]:((strong(X)|~wise(X))=>(~curious(X)&calm(X))))&
(![X]:((old(X)&~brave(X))=>generous(X)))&
(((funny(fred)<~>wise(fred)))=>(?[X]:(~kind(X))))&
(((humble(paul)<~>~humble(paul)))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:((~calm(X)|~creative(X))<=>(~calm(X)&wise(X))))&
((?[X]:(patient(X)))<=>((creative(lucy)|patient(lu... | ~kind(fred) | [
"p0",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9087550203070548227524581
% SZS output start Proof for 9087550203070548227524581
1. ! [X0] : ((~wise(X0) | strong(X0)) => (calm(X0) & ~curious(X0))) [input p0]
8. ? [X0] : (kind(X0) & curious(X0)) <=> ? [X0] : (~wise(X0) | ~brave(X0)) [input p7]
11. (kind(fred) & ~generous(fred)) <=> ? [X... | 0 |
If someone is both not quiet and not wise then paul is not happy.
If someone is either not humble or not creative then susan is either creative or calm and vice versa.
Everyone who is both curious and not curious is brave and vice versa.
If mary is both not wise and generous then alice is old or not strong.
If lucy is ... | Alice is not strong. | neutral | ((?[X]:((~quiet(X)&~wise(X))))=>(~happy(paul)))&
((?[X]:((~humble(X)<~>~creative(X))))<=>((creative(susan)<~>calm(susan))))&
(![X]:((curious(X)&~curious(X))<=>brave(X)))&
(((~wise(mary)&generous(mary)))=>((old(alice)|~strong(alice))))&
(((generous(lucy)&~tall(lucy)))<=>(rich(mary)))&
(((curious(paul)|strong(paul)))<=>(... | ~strong(alice) | [] | null | 0 |
Everyone who is patient or not humble is calm. If someone is both not happy and wise then someone is generous and vice versa. Everyone who is not kind or not quiet is strong. If someone is tall then alice is both not generous and not quiet. Everyone who is quiet or generous is either calm or not curious and vice versa.... | Fred is brave. | entailment | (![X]:((patient(X)|~humble(X))=>calm(X)))&
((?[X]:((~happy(X)&wise(X))))<=>(?[X]:(generous(X))))&
(![X]:((~kind(X)|~quiet(X))=>strong(X)))&
((?[X]:(tall(X)))=>((~generous(alice)&~quiet(alice))))&
(![X]:((quiet(X)|generous(X))<=>(calm(X)<~>~curious(X))))&
(![X]:((~rich(X)&~curious(X))<=>~funny(X)))&
(![X]:(~strong(X)<=>... | brave(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7031826634162308298540173
% SZS output start Proof for 7031826634162308298540173
24. brave(fred) [input p23]
25. ~brave(fred) [input hypothesis]
135. brave(fred) [cnf transformation 24]
136. ~brave(fred) [cnf transformation 25]
294. $false [subsumption resolution 136,135]
% SZS output end... | 0 |
If someone is kind or not rich then lucy is funny or creative. If someone is not curious or not wise then paul is creative or not funny. Everyone who is generous or not old is not tall or generous and vice versa. Everyone who is generous or calm is either happy or tall. If someone is either not curious or rich then pau... | Mary is funny. | entailment | ((?[X]:((kind(X)|~rich(X))))=>((funny(lucy)|creative(lucy))))&
((?[X]:((~curious(X)|~wise(X))))=>((creative(paul)|~funny(paul))))&
(![X]:((generous(X)|~old(X))<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:... | funny(mary) | [
"p2",
"p3",
"p5",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1779888186326887187575020
% SZS output start Proof for 1779888186326887187575020
3. ! [X0] : ((~old(X0) | generous(X0)) <=> (generous(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p3]
6. ! [X0] : ((creative(X0) <~> old(X0)) => (qui... | 0 |
Everyone who is both not calm and not funny is both not strong and not funny. Everyone who is curious is quiet. Everyone who is not old is happy or rich and vice versa. If mary is not curious or patient then alice is tall or strong. If someone is either tall or brave then susan is kind or not brave and vice versa. Ever... | Susan is not brave. | neutral | (![X]:((~calm(X)&~funny(X))=>(~strong(X)&~funny(X))))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~old(X)<=>(happy(X)|rich(X))))&
(((~curious(mary)|patient(mary)))=>((tall(alice)|strong(alice))))&
((?[X]:((tall(X)<~>brave(X))))<=>((kind(susan)|~brave(susan))))&
(![X]:(~tall(X)<=>(calm(X)<~>~funny(X))))&
((?[X]:(calm(X)))=>(... | ~brave(susan) | [] | null | 0 |
If mary is either not kind or humble then paul is not rich or happy and vice versa.
Everyone who is creative or not happy is either not happy or not wise and vice versa.
Everyone who is either rich or strong is both humble and not strong.
Everyone who is not kind or generous is curious or not calm.
If john is not wise ... | Paul is not strong. | entailment | (((~kind(mary)<~>humble(mary)))<=>((~rich(paul)|happy(paul))))&
(![X]:((creative(X)|~happy(X))<=>(~happy(X)<~>~wise(X))))&
(![X]:((rich(X)<~>strong(X))=>(humble(X)&~strong(X))))&
(![X]:((~kind(X)|generous(X))=>(curious(X)|~calm(X))))&
((~wise(john))=>((rich(paul)&patient(paul))))&
(![X]:(rich(X)=>(~rich(X)<~>generous(X... | ~strong(paul) | [
"p2",
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2210925226098624656566868
% SZS output start Proof for 2210925226098624656566868
3. ! [X0] : ((rich(X0) <~> strong(X0)) => (~strong(X0) & humble(X0))) [input p2]
4. ! [X0] : ((generous(X0) | ~kind(X0)) => (~calm(X0) | curious(X0))) [input p3]
6. ! [X0] : (rich(X0) => (~rich(X0) <~> genero... | 0 |
If lucy is both wise and tall then mary is either not creative or not funny and vice versa.
Everyone who is tall or generous is both not creative and calm and vice versa.
If mary is both not strong and happy then someone is both funny and not funny.
If fred is either curious or not rich then someone is both happy and n... | Paul is not happy. | neutral | (((wise(lucy)&tall(lucy)))<=>((~creative(mary)<~>~funny(mary))))&
(![X]:((tall(X)|generous(X))<=>(~creative(X)&calm(X))))&
(((~strong(mary)&happy(mary)))=>(?[X]:((funny(X)&~funny(X)))))&
(((curious(fred)<~>~rich(fred)))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(![X]:((creative(X)<~>rich(X))=>(... | ~happy(paul) | [] | null | 0 |
If someone is not quiet or rich then someone is not brave or not happy.
If someone is not strong or calm then lucy is both brave and not curious and vice versa.
Everyone who is both generous and not happy is not quiet and vice versa.
If paul is not happy then john is not humble or patient.
Everyone who is not quiet or ... | Susan is not generous. | contradiction | ((?[X]:((~quiet(X)|rich(X))))=>(?[X]:((~brave(X)|~happy(X)))))&
((?[X]:((~strong(X)|calm(X))))<=>((brave(lucy)&~curious(lucy))))&
(![X]:((generous(X)&~happy(X))<=>~quiet(X)))&
((~happy(paul))=>((~humble(john)|patient(john))))&
(![X]:((~quiet(X)|brave(X))=>(humble(X)&generous(X))))&
((?[X]:(~generous(X)))=>((brave(susan... | ~generous(susan) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7159685654308446840549746
% SZS output start Proof for 7159685654308446840549746
5. ! [X0] : ((brave(X0) | ~quiet(X0)) => (generous(X0) & humble(X0))) [input p4]
6. ? [X0] : ~generous(X0) => (happy(susan) & brave(susan)) [input p5]
20. ~generous(susan) [input hypothesis]
27. ! [X0] : ((ge... | 0 |
If fred is not tall then john is not happy and vice versa.
If susan is both not strong and funny then someone is not quiet or wise and vice versa.
If someone is either old or creative then someone is either happy or not generous and vice versa.
If fred is tall or strong then john is curious.
Everyone who is both not qu... | Fred is not quiet. | contradiction | ((~tall(fred))<=>(~happy(john)))&
(((~strong(susan)&funny(susan)))<=>(?[X]:((~quiet(X)|wise(X)))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~generous(X)))))&
(((tall(fred)|strong(fred)))=>(curious(john)))&
(![X]:((~quiet(X)&~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~brave(X)<~>~old(X))=>(funny(X)&rich(X))... | ~quiet(fred) | [
"p1",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8314434393168893497444955
% SZS output start Proof for 8314434393168893497444955
2. (funny(susan) & ~strong(susan)) <=> ? [X0] : (wise(X0) | ~quiet(X0)) [input p1]
11. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (wise(X0) | ~rich(X0))) [input p10]
13. ! [X0] : ((~generous(X0) & rich(X0)) <=> ~s... | 0 |
Everyone who is curious or not quiet is strong or rich and vice versa. If lucy is not quiet or funny then john is not humble or not calm. Everyone who is not creative is not rich and vice versa. If fred is not humble or not generous then john is humble and vice versa. Everyone who is either patient or humble is either ... | Fred is not generous. | neutral | (![X]:((curious(X)|~quiet(X))<=>(strong(X)|rich(X))))&
(((~quiet(lucy)|funny(lucy)))=>((~humble(john)|~calm(john))))&
(![X]:(~creative(X)<=>~rich(X)))&
(((~humble(fred)|~generous(fred)))<=>(humble(john)))&
(![X]:((patient(X)<~>humble(X))=>(~brave(X)<~>~funny(X))))&
((?[X]:((brave(X)&happy(X))))=>(?[X]:((patient(X)<~>~s... | ~generous(fred) | [] | null | 0 |
If paul is not tall then alice is not creative.
If someone is wise then lucy is patient or not humble and vice versa.
Everyone who is strong or not humble is happy and vice versa.
Everyone who is both creative and not quiet is both calm and not calm and vice versa.
If alice is both not happy and strong then mary is bot... | Lucy is not tall. | contradiction | ((~tall(paul))=>(~creative(alice)))&
((?[X]:(wise(X)))<=>((patient(lucy)|~humble(lucy))))&
(![X]:((strong(X)|~humble(X))<=>happy(X)))&
(![X]:((creative(X)&~quiet(X))<=>(calm(X)&~calm(X))))&
(((~happy(alice)&strong(alice)))<=>((~curious(mary)&~brave(mary))))&
((?[X]:((creative(X)|old(X))))=>(?[X]:((~curious(X)<~>~old(X)... | ~tall(lucy) | [
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2056580814910816445967284
% SZS output start Proof for 2056580814910816445967284
10. ! [X0] : ((creative(X0) & ~humble(X0)) <=> ~tall(X0)) [input p9]
11. ! [X0] : ((~happy(X0) | ~humble(X0)) => (~quiet(X0) & ~old(X0))) [input p10]
17. quiet(lucy) [input p16]
25. ~tall(lucy) [input hypothe... | 0 |
Everyone who is curious or brave is both not calm and rich and vice versa. If paul is either kind or not creative then john is not tall and vice versa. Everyone who is not tall or humble is old or strong. Everyone who is both kind and calm is both not old and tall. Everyone who is creative is both not rich and strong a... | Lucy is not brave. | neutral | (![X]:((curious(X)|brave(X))<=>(~calm(X)&rich(X))))&
(((kind(paul)<~>~creative(paul)))<=>(~tall(john)))&
(![X]:((~tall(X)|humble(X))=>(old(X)|strong(X))))&
(![X]:((kind(X)&calm(X))=>(~old(X)&tall(X))))&
(![X]:(creative(X)<=>(~rich(X)&strong(X))))&
(![X]:((~tall(X)|kind(X))=>(happy(X)&~old(X))))&
(((curious(fred)|tall(f... | ~brave(lucy) | [] | null | 0 |
Everyone who is not tall is not old or not patient and vice versa.
Everyone who is both not tall and not old is not patient or curious.
Everyone who is tall or strong is not quiet or not happy and vice versa.
Everyone who is either humble or not patient is rich or old and vice versa.
If someone is either not kind or pa... | Fred is old. | neutral | (![X]:(~tall(X)<=>(~old(X)|~patient(X))))&
(![X]:((~tall(X)&~old(X))=>(~patient(X)|curious(X))))&
(![X]:((tall(X)|strong(X))<=>(~quiet(X)|~happy(X))))&
(![X]:((humble(X)<~>~patient(X))<=>(rich(X)|old(X))))&
((?[X]:((~kind(X)<~>patient(X))))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((kind(X)&~quiet(X))<=>(old(X)|hap... | old(fred) | [] | null | 0 |
If susan is either humble or not quiet then someone is patient or not funny.
Everyone who is both not rich and not old is either not kind or not patient and vice versa.
Everyone who is old or patient is not calm or not kind and vice versa.
Everyone who is funny is not calm or old and vice versa.
Everyone who is calm is... | Alice is kind. | neutral | (((humble(susan)<~>~quiet(susan)))=>(?[X]:((patient(X)|~funny(X)))))&
(![X]:((~rich(X)&~old(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((old(X)|patient(X))<=>(~calm(X)|~kind(X))))&
(![X]:(funny(X)<=>(~calm(X)|old(X))))&
(![X]:(calm(X)=>(~happy(X)&~quiet(X))))&
(((~calm(alice)<~>curious(alice)))<=>(?[X]:((calm(X)<~>patient... | kind(alice) | [] | null | 0 |
If someone is either not creative or not generous then susan is both wise and not creative.
If fred is not rich or patient then someone is not old.
Everyone who is not calm or not happy is patient or not happy.
If mary is generous then alice is old or brave.
Everyone who is either not calm or humble is both not rich an... | Alice is kind. | entailment | ((?[X]:((~creative(X)<~>~generous(X))))=>((wise(susan)&~creative(susan))))&
(((~rich(fred)|patient(fred)))=>(?[X]:(~old(X))))&
(![X]:((~calm(X)|~happy(X))=>(patient(X)|~happy(X))))&
((generous(mary))=>((old(alice)|brave(alice))))&
(![X]:((~calm(X)<~>humble(X))<=>(~rich(X)&~calm(X))))&
(![X]:((~wise(X)|old(X))=>(calm(X)... | kind(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5378923609610296552828833
% SZS output start Proof for 5378923609610296552828833
15. ! [X0] : ((wise(X0) & kind(X0)) <=> (~kind(X0) | ~brave(X0))) [input p14]
25. ~kind(alice) [input hypothesis]
58. ! [X0] : (((wise(X0) & kind(X0)) | (kind(X0) & brave(X0))) & ((~kind(X0) | ~brave(X0)) | (... | 0 |
If someone is funny then mary is both not strong and tall and vice versa.
If mary is either not rich or not funny then someone is either not wise or not humble and vice versa.
If john is either not tall or old then mary is not wise.
Everyone who is both tall and curious is tall.
Everyone who is not rich or calm is both... | Paul is funny. | contradiction | ((?[X]:(funny(X)))<=>((~strong(mary)&tall(mary))))&
(((~rich(mary)<~>~funny(mary)))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(((~tall(john)<~>old(john)))=>(~wise(mary)))&
(![X]:((tall(X)&curious(X))=>tall(X)))&
(![X]:((~rich(X)|calm(X))<=>(~quiet(X)&~patient(X))))&
(((creative(john)<~>~kind(john)))=>((~curious(alice)&~funn... | funny(paul) | [
"p0",
"p4",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3572452951839677949938778
% SZS output start Proof for 3572452951839677949938778
1. ? [X0] : funny(X0) <=> (tall(mary) & ~strong(mary)) [input p0]
5. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p4]
16. (~strong(alice) <~> calm(alice)) => (~kind(mary) & strong(... | 0 |
If mary is not patient then someone is either not generous or calm and vice versa.
Everyone who is not rich is curious or not humble and vice versa.
If someone is both not patient and not kind then someone is either not tall or not curious and vice versa.
If someone is both wise and calm then john is either not old or ... | Susan is not tall. | contradiction | ((~patient(mary))<=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:(~rich(X)<=>(curious(X)|~humble(X))))&
((?[X]:((~patient(X)&~kind(X))))<=>(?[X]:((~tall(X)<~>~curious(X)))))&
((?[X]:((wise(X)&calm(X))))<=>((~old(john)<~>~calm(john))))&
((~funny(paul))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:(generous(X)<=>(~quiet(X)&calm... | ~tall(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 125995989470276247361914
% SZS output start Proof for 125995989470276247361914
16. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> ~tall(X0))) [input p15]
24. ~tall(susan) [input hypothesis]
62. ! [X0] : ((~generous(X0) | ((~generous(X0) | tall(X0)) & (~tall(X0) | generous(X0)))) & (((tall... | 0 |
Everyone who is not old or not rich is both not funny and not happy and vice versa. Everyone who is either wise or strong is not funny or rich. If someone is not quiet then someone is either old or not strong. Everyone who is either not happy or not tall is brave or generous. If someone is quiet or not wise then susan ... | Susan is calm. | entailment | (![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wise(X)<~>strong(X))=>(~funny(X)|rich(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((~happy(X)<~>~tall(X))=>(brave(X)|generous(X))))&
((?[X]:((quiet(X)|~wise(X))))<=>((~patient(susan)|funny(susan))))&
(![X]:((~quiet(X)<~>happy(X))<=>(cur... | calm(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 188673960506345915891912
% SZS output start Proof for 188673960506345915891912
20. ~generous(susan) & calm(susan) [input p19]
24. ~calm(susan) [input hypothesis]
140. calm(susan) [cnf transformation 20]
145. ~calm(susan) [cnf transformation 24]
284. $false [subsumption resolution 145,140]... | 0 |
Everyone who is both not wise and not happy is strong or not calm.
If susan is wise or generous then susan is not rich.
If alice is either brave or not tall then someone is both not tall and generous.
If someone is not old or old then lucy is either funny or not wise and vice versa.
Everyone who is not wise is either n... | Lucy is not generous. | entailment | (![X]:((~wise(X)&~happy(X))=>(strong(X)|~calm(X))))&
(((wise(susan)|generous(susan)))=>(~rich(susan)))&
(((brave(alice)<~>~tall(alice)))=>(?[X]:((~tall(X)&generous(X)))))&
((?[X]:((~old(X)|old(X))))<=>((funny(lucy)<~>~wise(lucy))))&
(![X]:(~wise(X)=>(~humble(X)<~>wise(X))))&
(((~patient(alice)&brave(alice)))=>(?[X]:(ge... | ~generous(lucy) | [
"p6",
"p9",
"p10",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 440183112559500213813500
% SZS output start Proof for 440183112559500213813500
7. ! [X0] : (creative(X0) <=> ~brave(X0)) [input p6]
10. ! [X0] : ((wise(X0) & rich(X0)) <=> (~humble(X0) | ~curious(X0))) [input p9]
11. ! [X0] : ((rich(X0) | ~curious(X0)) <=> (~tall(X0) & tall(X0))) [input p... | 0 |
Everyone who is both creative and happy is kind. Everyone who is both curious and not patient is generous and vice versa. Everyone who is not old or not calm is either curious or not generous. If paul is rich then paul is both happy and not generous. If someone is both not rich and not old then someone is not brave. Ev... | Susan is generous. | entailment | (![X]:((creative(X)&happy(X))=>kind(X)))&
(![X]:((curious(X)&~patient(X))<=>generous(X)))&
(![X]:((~old(X)|~calm(X))=>(curious(X)<~>~generous(X))))&
((rich(paul))=>((happy(paul)&~generous(paul))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:(~brave(X))))&
(![X]:((happy(X)<~>~old(X))<=>(old(X)|calm(X))))&
(![X]:(old(X)<=>(~ric... | generous(susan) | [
"p2",
"p6",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5270680327979165136378641
% SZS output start Proof for 5270680327979165136378641
3. ! [X0] : ((~calm(X0) | ~old(X0)) => (curious(X0) <~> ~generous(X0))) [input p2]
7. ! [X0] : (old(X0) <=> (~curious(X0) & ~rich(X0))) [input p6]
12. ! [X0] : (~funny(X0) => (~curious(X0) & brave(X0))) [inpu... | 0 |
Everyone who is either curious or not rich is not rich or kind and vice versa. If someone is either rich or not generous then paul is generous or kind. Everyone who is not strong is old or wise. Everyone who is curious or generous is not wise or calm and vice versa. If someone is both rich and not strong then alice is ... | Mary is quiet. | neutral | (![X]:((curious(X)<~>~rich(X))<=>(~rich(X)|kind(X))))&
((?[X]:((rich(X)<~>~generous(X))))=>((generous(paul)|kind(paul))))&
(![X]:(~strong(X)=>(old(X)|wise(X))))&
(![X]:((curious(X)|generous(X))<=>(~wise(X)|calm(X))))&
((?[X]:((rich(X)&~strong(X))))=>((~calm(alice)&~wise(alice))))&
(![X]:((old(X)&~rich(X))=>(curious(X)&... | quiet(mary) | [] | null | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | Susan is not wise. | neutral | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | ~wise(susan) | [] | null | 0 |
If someone is both patient and not quiet then mary is both calm and funny and vice versa. Everyone who is either not quiet or not rich is either not patient or happy and vice versa. If john is both not funny and rich then someone is patient and vice versa. If john is both humble and funny then someone is either calm or... | Susan is not quiet. | neutral | ((?[X]:((patient(X)&~quiet(X))))<=>((calm(mary)&funny(mary))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(~patient(X)<~>happy(X))))&
(((~funny(john)&rich(john)))<=>(?[X]:(patient(X))))&
(((humble(john)&funny(john)))<=>(?[X]:((calm(X)<~>tall(X)))))&
(((~humble(fred)&~patient(fred)))<=>((generous(john)|~happy(john))))&
(![X]:((~p... | ~quiet(susan) | [] | null | 0 |
If someone is both not funny and not quiet then someone is old or not strong and vice versa. If mary is not curious then john is not funny or kind and vice versa. If someone is calm then lucy is either happy or strong. If alice is either not happy or not wise then someone is not creative. If mary is wise then paul is e... | Alice is not brave. | neutral | ((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((old(X)|~strong(X)))))&
((~curious(mary))<=>((~funny(john)|kind(john))))&
((?[X]:(calm(X)))=>((happy(lucy)<~>strong(lucy))))&
(((~happy(alice)<~>~wise(alice)))=>(?[X]:(~creative(X))))&
((wise(mary))=>((~calm(paul)<~>~creative(paul))))&
(![X]:((tall(X)<~>~old(X))=>(~old(X)<~>funn... | ~brave(alice) | [] | null | 0 |
Everyone who is both patient and creative is not old or not curious.
Everyone who is either not patient or not quiet is not generous and vice versa.
If john is not funny then someone is both not brave and not curious.
Everyone who is tall or not curious is either tall or not curious and vice versa.
Everyone who is eith... | Fred is not patient. | contradiction | (![X]:((patient(X)&creative(X))=>(~old(X)|~curious(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>~generous(X)))&
((~funny(john))=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((tall(X)|~curious(X))<=>(tall(X)<~>~curious(X))))&
(![X]:((generous(X)<~>happy(X))<=>(calm(X)&~kind(X))))&
(![X]:(generous(X)=>creative(X)))&
((?[X]:((c... | ~patient(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 525212939464257725718889
% SZS output start Proof for 525212939464257725718889
18. patient(fred) & rich(fred) [input p17]
25. ~patient(fred) [input hypothesis]
132. patient(fred) [cnf transformation 18]
144. ~patient(fred) [cnf transformation 25]
282. $false [subsumption resolution 144,13... | 0 |
Everyone who is humble or tall is both humble and brave and vice versa.
Everyone who is not wise is both old and kind and vice versa.
If someone is humble then fred is either not tall or not strong.
If someone is both patient and not calm then alice is brave and vice versa.
If lucy is calm or not happy then someone is ... | Lucy is not patient. | entailment | (![X]:((humble(X)|tall(X))<=>(humble(X)&brave(X))))&
(![X]:(~wise(X)<=>(old(X)&kind(X))))&
((?[X]:(humble(X)))=>((~tall(fred)<~>~strong(fred))))&
((?[X]:((patient(X)&~calm(X))))<=>(brave(alice)))&
(((calm(lucy)|~happy(lucy)))<=>(?[X]:((~humble(X)&~tall(X)))))&
(![X]:((~wise(X)&happy(X))<=>(happy(X)<~>kind(X))))&
((?[X]... | ~patient(lucy) | [
"p0",
"p1",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 471831513703934771557008
% SZS output start Proof for 471831513703934771557008
1. ! [X0] : ((tall(X0) | humble(X0)) <=> (brave(X0) & humble(X0))) [input p0]
2. ! [X0] : (~wise(X0) <=> (kind(X0) & old(X0))) [input p1]
6. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (happy(X0) <~> kind(X0))) [inpu... | 0 |
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both no... | Lucy is not generous. | entailment | (![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creat... | ~generous(lucy) | [
"p4",
"p6",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2242172780660099171867656
% SZS output start Proof for 2242172780660099171867656
5. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (quiet(X0) & ~creative(X0))) [input p4]
7. ! [X0] : (curious(X0) <=> (curious(X0) <~> humble(X0))) [input p6]
9. ? [X0] : (~humble(X0) <~> ~kind(X0)) <=> (~quiet(l... | 0 |
Everyone who is both tall and not generous is either not happy or kind and vice versa.
Everyone who is both not tall and not brave is creative or tall and vice versa.
Everyone who is not calm or strong is strong or not generous and vice versa.
Everyone who is either wise or not curious is patient and vice versa.
If som... | Susan is tall. | contradiction | (![X]:((tall(X)&~generous(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~tall(X)&~brave(X))<=>(creative(X)|tall(X))))&
(![X]:((~calm(X)|strong(X))<=>(strong(X)|~generous(X))))&
(![X]:((wise(X)<~>~curious(X))<=>patient(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((~humble(X)<~>humble(X)))))&
((?[X]:((wise(X)&~curious(X))))<=>(?[X]:((~old... | tall(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5549641344504274631228084
% SZS output start Proof for 5549641344504274631228084
2. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (tall(X0) | creative(X0))) [input p1]
24. tall(susan) [input hypothesis]
34. ! [X0] : (((~brave(X0) & ~tall(X0)) | (~tall(X0) & ~creative(X0))) & ((tall(X0) | creativ... | 0 |
Everyone who is either quiet or not creative is wise or tall.
Everyone who is both not patient and rich is humble.
Everyone who is either calm or humble is both not generous and not old and vice versa.
If someone is either not strong or not patient then someone is both not patient and not curious and vice versa.
If sus... | John is not tall. | neutral | (![X]:((quiet(X)<~>~creative(X))=>(wise(X)|tall(X))))&
(![X]:((~patient(X)&rich(X))=>humble(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~generous(X)&~old(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~patient(X)&~curious(X)))))&
(((kind(susan)|~strong(susan)))<=>((~wise(susan)|generous(susan))))&
(![X]:(~curious(X)=>... | ~tall(john) | [] | null | 0 |
If lucy is either not tall or tall then alice is not kind and vice versa. Everyone who is happy is humble and vice versa. Everyone who is either not old or not quiet is curious or not creative and vice versa. Everyone who is strong or brave is not patient. Everyone who is either not generous or not funny is both not cr... | John is not happy. | entailment | (((~tall(lucy)<~>tall(lucy)))<=>(~kind(alice)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~old(X)<~>~quiet(X))<=>(curious(X)|~creative(X))))&
(![X]:((strong(X)|brave(X))=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~qui... | ~happy(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6241308802874408260260978
% SZS output start Proof for 6241308802874408260260978
1. (~tall(lucy) <~> tall(lucy)) <=> ~kind(alice) [input p0]
2. ! [X0] : (happy(X0) <=> humble(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (~creative(X0) | curious(X0))) [input p2]
4. ! [X0] : (... | 0 |
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