premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is brave then someone is rich or happy.
Everyone who is brave or humble is rich or not creative and vice versa.
If alice is not humble then paul is either not kind or humble.
Everyone who is both patient and not tall is brave or not strong and vice versa.
If lucy is old then someone is both not curious and crea... | Alice is not brave. | entailment | ((brave(fred))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((brave(X)|humble(X))<=>(rich(X)|~creative(X))))&
((~humble(alice))=>((~kind(paul)<~>humble(paul))))&
(![X]:((patient(X)&~tall(X))<=>(brave(X)|~strong(X))))&
((old(lucy))<=>(?[X]:((~curious(X)&creative(X)))))&
(![X]:((kind(X)<~>~generous(X))<=>(calm(X)<~>tall(X))))&
(... | ~brave(alice) | [
"p3",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 222932283866075557660179
% SZS output start Proof for 222932283866075557660179
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~strong(X0) | brave(X0))) [input p3]
16. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (~patient(X0) & ~old(X0))) [input p15]
22. quiet(alice) & ~curious(alice) [input p21... | 0 |
Everyone who is either old or not happy is either not happy or curious.
Everyone who is either quiet or kind is either not generous or calm and vice versa.
Everyone who is not old or not creative is both not brave and tall and vice versa.
Everyone who is not old or rich is not creative.
If paul is either tall or happy ... | Lucy is old. | neutral | (![X]:((old(X)<~>~happy(X))=>(~happy(X)<~>curious(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~old(X)|~creative(X))<=>(~brave(X)&tall(X))))&
(![X]:((~old(X)|rich(X))=>~creative(X)))&
(((tall(paul)<~>happy(paul)))=>(?[X]:((brave(X)&~funny(X)))))&
((?[X]:((rich(X)|creative(X))))<=>(?[X]:((hap... | old(lucy) | [] | null | 0 |
Everyone who is both not generous and not strong is happy or not kind and vice versa.
If someone is brave or not old then someone is not generous and vice versa.
Everyone who is either kind or not patient is either kind or not old and vice versa.
If someone is brave or old then fred is either not humble or happy.
Every... | Mary is rich. | contradiction | (![X]:((~generous(X)&~strong(X))<=>(happy(X)|~kind(X))))&
((?[X]:((brave(X)|~old(X))))<=>(?[X]:(~generous(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(kind(X)<~>~old(X))))&
((?[X]:((brave(X)|old(X))))=>((~humble(fred)<~>happy(fred))))&
(![X]:((~rich(X)&~wise(X))<=>brave(X)))&
(![X]:((brave(X)<~>calm(X))<=>(strong(X)<~>brav... | rich(mary) | [
"p2",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4678968634888090981167072
% SZS output start Proof for 4678968634888090981167072
3. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (kind(X0) <~> ~old(X0))) [input p2]
15. (~strong(mary) & ~rich(mary)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p14]
23. creative(paul) & ~old(paul) [input... | 0 |
If john is not humble then alice is either creative or curious.
If someone is either quiet or generous then john is patient and vice versa.
If susan is not creative then susan is both generous and not funny.
Everyone who is either not creative or brave is not patient or strong and vice versa.
If lucy is tall or not cre... | Mary is old. | contradiction | ((~humble(john))=>((creative(alice)<~>curious(alice))))&
((?[X]:((quiet(X)<~>generous(X))))<=>(patient(john)))&
((~creative(susan))=>((generous(susan)&~funny(susan))))&
(![X]:((~creative(X)<~>brave(X))<=>(~patient(X)|strong(X))))&
(((tall(lucy)|~creative(lucy)))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)|~old(X))<=>(~creati... | old(mary) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7470129878087270697383806
% SZS output start Proof for 7470129878087270697383806
2. ? [X0] : (quiet(X0) <~> generous(X0)) <=> patient(john) [input p1]
4. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (strong(X0) | ~patient(X0))) [input p3]
6. ! [X0] : ((~old(X0) | happy(X0)) <=> (~creative(... | 0 |
If someone is generous then lucy is not tall or happy.
If alice is not kind then alice is either strong or generous.
If someone is patient then someone is creative and vice versa.
Everyone who is wise is not old and vice versa.
If someone is humble or tall then alice is either not curious or humble.
Everyone who is str... | Alice is quiet. | entailment | ((?[X]:(generous(X)))=>((~tall(lucy)|happy(lucy))))&
((~kind(alice))=>((strong(alice)<~>generous(alice))))&
((?[X]:(patient(X)))<=>(?[X]:(creative(X))))&
(![X]:(wise(X)<=>~old(X)))&
((?[X]:((humble(X)|tall(X))))=>((~curious(alice)<~>humble(alice))))&
(![X]:(strong(X)<=>(~generous(X)|~old(X))))&
(![X]:(brave(X)=>(~humbl... | quiet(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1211469627157681705652762
% SZS output start Proof for 1211469627157681705652762
11. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p10]
24. ~quiet(alice) [input hypothesis]
34. ! [X0] : ((~brave(X0) & quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 11]... | 0 |
Everyone who is either not creative or not generous is rich and vice versa.
Everyone who is not brave or not strong is both not old and not wise and vice versa.
If someone is creative or patient then paul is brave and vice versa.
Everyone who is humble is both funny and not quiet.
Everyone who is funny is both happy an... | Alice is not rich. | neutral | (![X]:((~creative(X)<~>~generous(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~old(X)&~wise(X))))&
((?[X]:((creative(X)|patient(X))))<=>(brave(paul)))&
(![X]:(humble(X)=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>(happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>... | ~rich(alice) | [] | null | 0 |
If susan is both not calm and kind then mary is happy and vice versa.
Everyone who is both brave and strong is both curious and not humble and vice versa.
If mary is both not patient and not generous then paul is not funny or not kind.
If someone is funny or not generous then alice is both not humble and not happy and ... | John is not old. | entailment | (((~calm(susan)&kind(susan)))<=>(happy(mary)))&
(![X]:((brave(X)&strong(X))<=>(curious(X)&~humble(X))))&
(((~patient(mary)&~generous(mary)))=>((~funny(paul)|~kind(paul))))&
((?[X]:((funny(X)|~generous(X))))<=>((~humble(alice)&~happy(alice))))&
((~funny(alice))=>(~old(susan)))&
((tall(paul))<=>(?[X]:((~strong(X)|~brave(... | ~old(john) | [
"p6",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4698750721956998285841205
% SZS output start Proof for 4698750721956998285841205
7. ! [X0] : (strong(X0) <=> (funny(X0) & ~generous(X0))) [input p6]
10. ! [X0] : ((old(X0) & wise(X0)) <=> generous(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (rich(X0) & funny(X0))) [inpu... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa. If someone is not wise then alice is not patient and vice versa. If someone is not creative then someone is both brave and not old. Everyone who is quiet is curious. If mary is both strong and not curious then someone is not humble... | Mary is not humble. | entailment | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&... | ~humble(mary) | [
"p4",
"p5",
"p6",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4039477387570353460982328
% SZS output start Proof for 4039477387570353460982328
5. (~curious(mary) & strong(mary)) <=> ? [X0] : (~brave(X0) | ~humble(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (~creative(X0) & ~patient(X0))) [input p5]
7. ! [X0] : (brave(X0) <=> (calm(X0)... | 0 |
If lucy is either creative or not tall then someone is not calm or tall. Everyone who is patient is not tall or tall and vice versa. If mary is not quiet then john is both curious and not funny and vice versa. If someone is not tall then someone is both not kind and rich. Everyone who is not funny is either generous or... | Lucy is not patient. | contradiction | (((creative(lucy)<~>~tall(lucy)))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:(patient(X)<=>(~tall(X)|tall(X))))&
((~quiet(mary))<=>((curious(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(~funny(X)<=>(generous(X)<~>tall(X))))&
(![X]:((old(X)<~>~kind(X))=>(~patient(X)<~>funny(X))))&
((strong(s... | ~patient(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 975362595197054028986994
% SZS output start Proof for 975362595197054028986994
2. ! [X0] : (patient(X0) <=> (tall(X0) | ~tall(X0))) [input p1]
23. ~patient(lucy) [input hypothesis]
33. ! [X0] : ((patient(X0) | (~tall(X0) & tall(X0))) & ((tall(X0) | ~tall(X0)) | ~patient(X0))) [nnf transfo... | 0 |
If paul is not generous then lucy is not happy or rich.
Everyone who is not quiet or rich is patient.
Everyone who is both not old and happy is both not wise and patient and vice versa.
If john is either not happy or creative then someone is not brave or not tall.
Everyone who is either not funny or not creative is eit... | Susan is kind. | entailment | ((~generous(paul))=>((~happy(lucy)|rich(lucy))))&
(![X]:((~quiet(X)|rich(X))=>patient(X)))&
(![X]:((~old(X)&happy(X))<=>(~wise(X)&patient(X))))&
(((~happy(john)<~>creative(john)))=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((rich(X)|wise(X))))<=>(?[X]:((~brave(X... | kind(susan) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3875853129939890482318342
% SZS output start Proof for 3875853129939890482318342
2. ! [X0] : ((rich(X0) | ~quiet(X0)) => patient(X0)) [input p1]
6. ? [X0] : (wise(X0) | rich(X0)) <=> ? [X0] : (~brave(X0) <~> ~wise(X0)) [input p5]
8. (kind(mary) & humble(mary)) <=> ? [X0] : quiet(X0) [inpu... | 0 |
Everyone who is not patient is not quiet and vice versa. Everyone who is both not happy and curious is either not funny or not patient and vice versa. Everyone who is both not calm and not tall is both kind and not quiet. Everyone who is either not happy or rich is both not curious and curious. Everyone who is either n... | Paul is not quiet. | contradiction | (![X]:(~patient(X)<=>~quiet(X)))&
(![X]:((~happy(X)&curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~calm(X)&~tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((~happy(X)<~>rich(X))=>(~curious(X)&curious(X))))&
(![X]:((~rich(X)<~>tall(X))<=>(funny(X)|~happy(X))))&
(![X]:((~kind(X)<~>~humble(X))<=>strong(X)))&
((?[X]:((~old(X)... | ~quiet(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3599049743854707085927924
% SZS output start Proof for 3599049743854707085927924
12. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X0] : (~kind(X0) & kind(X0)) [input p11]
21. ~quiet(paul) [input hypothesis]
22. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X1] : (~kind(X1) & kind(X1)) [rectify 12]... | 0 |
If mary is happy or humble then someone is not rich and vice versa.
If paul is either humble or rich then paul is creative and vice versa.
Everyone who is happy is wise.
Everyone who is both not wise and kind is not calm or funny and vice versa.
If someone is old or not quiet then lucy is not brave and vice versa.
Ever... | Paul is creative. | neutral | (((happy(mary)|humble(mary)))<=>(?[X]:(~rich(X))))&
(((humble(paul)<~>rich(paul)))<=>(creative(paul)))&
(![X]:(happy(X)=>wise(X)))&
(![X]:((~wise(X)&kind(X))<=>(~calm(X)|funny(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(~brave(lucy)))&
(![X]:((~kind(X)&~quiet(X))<=>(~brave(X)&~calm(X))))&
(![X]:(old(X)=>(patient(X)&wise(X))... | creative(paul) | [] | null | 0 |
If fred is not happy or rich then someone is not curious. Everyone who is old or not generous is either wise or funny and vice versa. If paul is quiet then someone is either creative or humble. Everyone who is not creative is not calm and vice versa. Everyone who is calm or not tall is both funny and wise. If someone i... | Lucy is not patient. | entailment | (((~happy(fred)|rich(fred)))=>(?[X]:(~curious(X))))&
(![X]:((old(X)|~generous(X))<=>(wise(X)<~>funny(X))))&
((quiet(paul))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((calm(X)|~tall(X))=>(funny(X)&wise(X))))&
((?[X]:(quiet(X)))<=>((~creative(susan)&patient(susan))))&
(![X]:((wise(X)|~... | ~patient(lucy) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8856821831496236947204210
% SZS output start Proof for 8856821831496236947204210
5. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~strong(X0) | wise(X0)) => (patient(X0) <~> funny(X0))) [input p6]
11. ! [X0] : ((humble(X0) | patient(X0)) => calm(X0))... | 0 |
If someone is both not calm and old then someone is either not brave or not strong and vice versa.
If someone is both not kind and not strong then mary is both not creative and patient and vice versa.
Everyone who is old or not tall is happy or generous and vice versa.
Everyone who is not curious or not happy is happy.... | Susan is not creative. | neutral | ((?[X]:((~calm(X)&old(X))))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
((?[X]:((~kind(X)&~strong(X))))<=>((~creative(mary)&patient(mary))))&
(![X]:((old(X)|~tall(X))<=>(happy(X)|generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(... | ~creative(susan) | [] | null | 0 |
If paul is not patient then paul is either not old or not funny.
Everyone who is either wise or brave is old and vice versa.
If someone is both calm and old then susan is either not strong or curious and vice versa.
If john is both happy and not brave then paul is either not tall or not quiet and vice versa.
Everyone w... | Susan is not calm. | contradiction | ((~patient(paul))=>((~old(paul)<~>~funny(paul))))&
(![X]:((wise(X)<~>brave(X))<=>old(X)))&
((?[X]:((calm(X)&old(X))))<=>((~strong(susan)<~>curious(susan))))&
(((happy(john)&~brave(john)))<=>((~tall(paul)<~>~quiet(paul))))&
(![X]:(~calm(X)=>(brave(X)&kind(X))))&
((?[X]:(~wise(X)))=>((kind(alice)&~kind(alice))))&
((?[X]:... | ~calm(susan) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2560718245472213076766499
% SZS output start Proof for 2560718245472213076766499
5. ! [X0] : (~calm(X0) => (kind(X0) & brave(X0))) [input p4]
8. ! [X0] : (brave(X0) => ~brave(X0)) [input p7]
24. ~calm(susan) [input hypothesis]
29. ! [X0] : ((kind(X0) & brave(X0)) | calm(X0)) [ennf transfo... | 0 |
Everyone who is both calm and wise is curious and vice versa.
Everyone who is both not humble and not funny is not old.
If someone is either strong or not happy then someone is not wise and vice versa.
Everyone who is not tall or not creative is not curious or creative.
If fred is both tall and kind then someone is eit... | Paul is not humble. | neutral | (![X]:((calm(X)&wise(X))<=>curious(X)))&
(![X]:((~humble(X)&~funny(X))=>~old(X)))&
((?[X]:((strong(X)<~>~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((~tall(X)|~creative(X))=>(~curious(X)|creative(X))))&
(((tall(fred)&kind(fred)))<=>(?[X]:((strong(X)<~>generous(X)))))&
((?[X]:((strong(X)&brave(X))))=>((patient(alice)<~>hap... | ~humble(paul) | [] | null | 0 |
Everyone who is not patient or not generous is not strong or generous. Everyone who is not patient or quiet is either not funny or creative and vice versa. Everyone who is either not kind or calm is not patient or not kind and vice versa. If someone is both patient and rich then fred is both not calm and old. If someon... | John is humble. | neutral | (![X]:((~patient(X)|~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((~patient(X)|quiet(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~patient(X)|~kind(X))))&
((?[X]:((patient(X)&rich(X))))=>((~calm(fred)&old(fred))))&
((?[X]:((funny(X)&~happy(X))))=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~stron... | humble(john) | [] | null | 0 |
Everyone who is both rich and not creative is either patient or not tall and vice versa. If someone is either not rich or creative then fred is either wise or calm and vice versa. Everyone who is both not rich and not curious is old or funny and vice versa. Everyone who is not wise is kind and vice versa. If fred is ha... | Susan is calm. | contradiction | (![X]:((rich(X)&~creative(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((wise(fred)<~>calm(fred))))&
(![X]:((~rich(X)&~curious(X))<=>(old(X)|funny(X))))&
(![X]:(~wise(X)<=>kind(X)))&
(((happy(fred)|creative(fred)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((~funny(susan))=>(?[X]:((funny(X)<~>~calm(X)... | calm(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 283127663304642349795646
% SZS output start Proof for 283127663304642349795646
8. ~strong(lucy) <=> ? [X0] : calm(X0) [input p7]
9. ! [X0] : ((~humble(X0) | ~strong(X0)) => (generous(X0) & ~generous(X0))) [input p8]
24. calm(susan) [input hypothesis]
27. ! [X0] : ((generous(X0) & ~generou... | 0 |
If mary is either not generous or quiet then alice is humble or brave.
If lucy is both old and not curious then someone is not wise or not curious.
Everyone who is both not calm and not creative is either not kind or not rich.
If fred is not funny or not curious then someone is both not strong and not rich and vice ver... | Fred is not curious. | contradiction | (((~generous(mary)<~>quiet(mary)))=>((humble(alice)|brave(alice))))&
(((old(lucy)&~curious(lucy)))=>(?[X]:((~wise(X)|~curious(X)))))&
(![X]:((~calm(X)&~creative(X))=>(~kind(X)<~>~rich(X))))&
(((~funny(fred)|~curious(fred)))<=>(?[X]:((~strong(X)&~rich(X)))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X))))... | ~curious(fred) | [
"p3",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2060172558672534140771924
% SZS output start Proof for 2060172558672534140771924
4. (~curious(fred) | ~funny(fred)) <=> ? [X0] : (~rich(X0) & ~strong(X0)) [input p3]
10. ! [X0] : (~rich(X0) <=> brave(X0)) [input p9]
11. ! [X0] : (~wise(X0) => (~brave(X0) <~> strong(X0))) [input p10]
12. !... | 0 |
If someone is not rich or not funny then mary is kind.
Everyone who is quiet or not generous is not creative or happy and vice versa.
Everyone who is not generous or not brave is happy and vice versa.
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy ... | Alice is happy. | entailment | ((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~generous(X)|~brave(X))<=>happy(X)))&
(((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~cal... | happy(alice) | [
"p0",
"p1",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8360366608133196404750540
% SZS output start Proof for 8360366608133196404750540
1. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p0]
2. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (happy(X0) | ~creative(X0))) [input p1]
5. ? [X0] : (~happy(X0) | ~patient(X0)) => (~funny(mary) & ~h... | 0 |
If someone is humble then susan is creative.
Everyone who is quiet or not creative is either humble or brave and vice versa.
Everyone who is brave is not generous or not curious.
If someone is brave then someone is calm or funny and vice versa.
Everyone who is both brave and not funny is both not wise and humble.
Every... | Paul is curious. | neutral | ((?[X]:(humble(X)))=>(creative(susan)))&
(![X]:((quiet(X)|~creative(X))<=>(humble(X)<~>brave(X))))&
(![X]:(brave(X)=>(~generous(X)|~curious(X))))&
((?[X]:(brave(X)))<=>(?[X]:((calm(X)|funny(X)))))&
(![X]:((brave(X)&~funny(X))=>(~wise(X)&humble(X))))&
(![X]:((funny(X)&~humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~tall(X)|... | curious(paul) | [] | null | 0 |
If someone is both old and not funny then someone is either not old or humble. Everyone who is not old is either not quiet or curious. Everyone who is either wise or not generous is not brave and vice versa. Everyone who is generous is wise or brave. If someone is either not calm or calm then someone is curious. If som... | Lucy is not humble. | neutral | ((?[X]:((old(X)&~funny(X))))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:(~old(X)=>(~quiet(X)<~>curious(X))))&
(![X]:((wise(X)<~>~generous(X))<=>~brave(X)))&
(![X]:(generous(X)=>(wise(X)|brave(X))))&
((?[X]:((~calm(X)<~>calm(X))))=>(?[X]:(curious(X))))&
((?[X]:(~generous(X)))=>(?[X]:((kind(X)&old(X)))))&
((?[X]:((strong(X)... | ~humble(lucy) | [] | null | 0 |
Everyone who is not happy is patient and vice versa. Everyone who is quiet or patient is both creative and not funny. Everyone who is both calm and not curious is either wise or not kind and vice versa. Everyone who is generous is both quiet and funny. Everyone who is not old or not funny is not creative or happy. Ever... | Alice is rich. | neutral | (![X]:(~happy(X)<=>patient(X)))&
(![X]:((quiet(X)|patient(X))=>(creative(X)&~funny(X))))&
(![X]:((calm(X)&~curious(X))<=>(wise(X)<~>~kind(X))))&
(![X]:(generous(X)=>(quiet(X)&funny(X))))&
(![X]:((~old(X)|~funny(X))=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)&~wise(X))<=>(creative(X)&brave(X))))&
((?[X]:((~strong(X)... | rich(alice) | [] | null | 0 |
Everyone who is happy or not patient is either not funny or creative and vice versa. Everyone who is not creative or not happy is wise and vice versa. Everyone who is generous or not creative is both calm and quiet and vice versa. Everyone who is either kind or creative is not brave or calm and vice versa. Everyone who... | Alice is not patient. | entailment | (![X]:((happy(X)|~patient(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((~creative(X)|~happy(X))<=>wise(X)))&
(![X]:((generous(X)|~creative(X))<=>(calm(X)&quiet(X))))&
(![X]:((kind(X)<~>creative(X))<=>(~brave(X)|calm(X))))&
(![X]:(humble(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((old(X)<~>strong(X))=>(~rich(X)&~happy(X))))&
... | ~patient(alice) | [
"p0",
"p1",
"p6",
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2728716001867083104897413
% SZS output start Proof for 2728716001867083104897413
1. ! [X0] : ((~patient(X0) | happy(X0)) <=> (~funny(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> wise(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~happy(X0) <~... | 0 |
Everyone who is old is generous or not funny and vice versa.
Everyone who is either not humble or rich is either not brave or funny and vice versa.
Everyone who is both not old and not funny is either not strong or not old and vice versa.
If someone is either brave or not old then mary is either generous or tall and vi... | Paul is patient. | contradiction | (![X]:(old(X)<=>(generous(X)|~funny(X))))&
(![X]:((~humble(X)<~>rich(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((~old(X)&~funny(X))<=>(~strong(X)<~>~old(X))))&
((?[X]:((brave(X)<~>~old(X))))<=>((generous(mary)<~>tall(mary))))&
((?[X]:(brave(X)))<=>(?[X]:(patient(X))))&
(((~happy(john)|~kind(john)))=>(curious(lucy)))&
(((ca... | patient(paul) | [
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6423255884420371807904475
% SZS output start Proof for 6423255884420371807904475
5. ? [X0] : brave(X0) <=> ? [X0] : patient(X0) [input p4]
8. ? [X0] : (~kind(X0) | brave(X0)) => ? [X0] : (wise(X0) & humble(X0)) [input p7]
14. ! [X0] : ((strong(X0) | ~humble(X0)) => (quiet(X0) & ~funny(X0)... | 0 |
If someone is either quiet or tall then fred is not brave or not happy and vice versa.
Everyone who is not generous is not happy or strong.
Everyone who is both humble and not patient is not tall and vice versa.
Everyone who is not old is not rich and vice versa.
If someone is both strong and not calm then someone is s... | Susan is not strong. | contradiction | ((?[X]:((quiet(X)<~>tall(X))))<=>((~brave(fred)|~happy(fred))))&
(![X]:(~generous(X)=>(~happy(X)|strong(X))))&
(![X]:((humble(X)&~patient(X))<=>~tall(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(strong(X))))&
(((~kind(susan)&~calm(susan)))<=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~quiet(X)<... | ~strong(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7233149393698975902835238
% SZS output start Proof for 7233149393698975902835238
7. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p6]
20. ~strong(susan) [input hypothesis]
25. ! [X0] : (strong(X0) | (~quiet(X0) <=> quiet(X0))) [ennf transformation 7]
47. ! [X0] : (strong(X0) ... | 0 |
Everyone who is either curious or kind is both not tall and not brave and vice versa.
If someone is either patient or happy then lucy is not happy and vice versa.
Everyone who is patient is either creative or funny.
Everyone who is either calm or not calm is either wise or not brave and vice versa.
If someone is both h... | Lucy is not strong. | contradiction | (![X]:((curious(X)<~>kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((patient(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(creative(X)<~>funny(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((happy(X)&patient(X))))=>(old(paul)))&
((tall(susan))<=>((wise(john)|~rich(john))))&
(((happy(alice)|... | ~strong(lucy) | [
"p1",
"p2",
"p3",
"p8",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 491206152588875680158815
% SZS output start Proof for 491206152588875680158815
2. ? [X0] : (patient(X0) <~> happy(X0)) <=> ~happy(lucy) [input p1]
3. ! [X0] : (patient(X0) => (creative(X0) <~> funny(X0))) [input p2]
4. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (wise(X0) <~> ~brave(X0))) [inp... | 0 |
Everyone who is kind is creative or old.
Everyone who is tall is not wise and vice versa.
Everyone who is not curious or creative is not calm or happy and vice versa.
Everyone who is both not happy and not generous is both curious and humble and vice versa.
If fred is calm or not tall then someone is rich or brave.
If ... | Fred is not creative. | contradiction | (![X]:(kind(X)=>(creative(X)|old(X))))&
(![X]:(tall(X)<=>~wise(X)))&
(![X]:((~curious(X)|creative(X))<=>(~calm(X)|happy(X))))&
(![X]:((~happy(X)&~generous(X))<=>(curious(X)&humble(X))))&
(((calm(fred)|~tall(fred)))=>(?[X]:((rich(X)|brave(X)))))&
((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:((~old(X)|~generous(X)))))&
(![... | ~creative(fred) | [
"p2",
"p3",
"p6",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5958175227740315522547064
% SZS output start Proof for 5958175227740315522547064
3. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (happy(X0) | ~calm(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> (humble(X0) & curious(X0))) [input p3]
7. ! [X0] : (generous(X0) <=> (~happy(X0... | 0 |
If susan is not humble then paul is patient and vice versa. Everyone who is either happy or not old is both not happy and not quiet. Everyone who is old is either not kind or not quiet and vice versa. Everyone who is wise is both not strong and not calm. Everyone who is happy is not strong or patient and vice versa. If... | Paul is not humble. | neutral | ((~humble(susan))<=>(patient(paul)))&
(![X]:((happy(X)<~>~old(X))=>(~happy(X)&~quiet(X))))&
(![X]:(old(X)<=>(~kind(X)<~>~quiet(X))))&
(![X]:(wise(X)=>(~strong(X)&~calm(X))))&
(![X]:(happy(X)<=>(~strong(X)|patient(X))))&
(((quiet(lucy)&kind(lucy)))=>((~calm(lucy)|kind(lucy))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(~funny(X)... | ~humble(paul) | [] | null | 0 |
If lucy is wise then mary is either brave or not happy.
If john is calm then someone is both not quiet and not old and vice versa.
If someone is funny then someone is quiet or calm and vice versa.
Everyone who is not creative is not humble or not tall and vice versa.
Everyone who is not quiet or not generous is either ... | Alice is strong. | contradiction | ((wise(lucy))=>((brave(mary)<~>~happy(mary))))&
((calm(john))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|calm(X)))))&
(![X]:(~creative(X)<=>(~humble(X)|~tall(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(patient(X)<~>~generous(X))... | strong(alice) | [
"p2",
"p7",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7816274628921354017679891
% SZS output start Proof for 7816274628921354017679891
3. ? [X0] : funny(X0) <=> ? [X0] : (calm(X0) | quiet(X0)) [input p2]
8. (brave(alice) | curious(alice)) <=> ~funny(lucy) [input p7]
11. ! [X0] : (brave(X0) <=> (strong(X0) | patient(X0))) [input p10]
14. ? [X... | 0 |
Everyone who is not kind is either not calm or brave and vice versa. Everyone who is not patient is not strong or not wise and vice versa. If paul is either not quiet or not strong then someone is both not kind and happy. Everyone who is not funny or old is either happy or not happy. If someone is not creative or not h... | Lucy is not creative. | entailment | (![X]:(~kind(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(~patient(X)<=>(~strong(X)|~wise(X))))&
(((~quiet(paul)<~>~strong(paul)))=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:((~funny(X)|old(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~creative(X)|~humble(X))))=>((~funny(john)<~>rich(john))))&
((~funny(fred))<=>((~humble(susan)|~wise(su... | ~creative(lucy) | [
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4403586987859146884366468
% SZS output start Proof for 4403586987859146884366468
7. ! [X0] : ((~rich(X0) | creative(X0)) => (~humble(X0) & ~kind(X0))) [input p6]
11. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~happy(X0) <~> ~generous(X0))) [input p10]
13. ! [X0] : ((~old(X0) <~> strong(X0)... | 0 |
Everyone who is not wise or not calm is both not quiet and quiet.
Everyone who is either strong or not happy is both not brave and not creative and vice versa.
If someone is both calm and not tall then someone is not patient or quiet and vice versa.
Everyone who is either happy or not quiet is not generous or happy and... | Fred is generous. | contradiction | (![X]:((~wise(X)|~calm(X))=>(~quiet(X)&quiet(X))))&
(![X]:((strong(X)<~>~happy(X))<=>(~brave(X)&~creative(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~generous(X)|happy(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((brave(X)|~curious(X)))))&
(((~calm(susan)|strong(susa... | generous(fred) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5699877158130426344903357
% SZS output start Proof for 5699877158130426344903357
4. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (happy(X0) | ~generous(X0))) [input p3]
22. ~quiet(fred) [input p21]
24. generous(fred) [input hypothesis]
45. ! [X0] : ((((quiet(X0) | ~happy(X0)) & (~quiet(X0) | ... | 0 |
If fred is generous or not quiet then fred is kind or not rich. Everyone who is happy is not generous or quiet. Everyone who is not creative is generous or not wise and vice versa. Everyone who is either old or quiet is kind or not calm. If paul is either not happy or not quiet then paul is not tall or creative. Everyo... | John is not kind. | neutral | (((generous(fred)|~quiet(fred)))=>((kind(fred)|~rich(fred))))&
(![X]:(happy(X)=>(~generous(X)|quiet(X))))&
(![X]:(~creative(X)<=>(generous(X)|~wise(X))))&
(![X]:((old(X)<~>quiet(X))=>(kind(X)|~calm(X))))&
(((~happy(paul)<~>~quiet(paul)))=>((~tall(paul)|creative(paul))))&
(![X]:((creative(X)|~wise(X))=>(wise(X)<~>~calm(... | ~kind(john) | [] | null | 0 |
Everyone who is either old or calm is creative or happy.
Everyone who is either old or not generous is not tall or not rich.
If paul is both brave and not generous then john is not curious and vice versa.
If someone is not funny then mary is not generous or not curious.
If someone is brave or not quiet then fred is bot... | Paul is brave. | contradiction | (![X]:((old(X)<~>calm(X))=>(creative(X)|happy(X))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|~rich(X))))&
(((brave(paul)&~generous(paul)))<=>(~curious(john)))&
((?[X]:(~funny(X)))=>((~generous(mary)|~curious(mary))))&
((?[X]:((brave(X)|~quiet(X))))<=>((~patient(fred)&~happy(fred))))&
(![X]:((rich(X)|~old(X))=>(~wise(... | brave(paul) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8132281148425873350804522
% SZS output start Proof for 8132281148425873350804522
5. ? [X0] : (~quiet(X0) | brave(X0)) <=> (~happy(fred) & ~patient(fred)) [input p4]
8. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~wise(X0) & ~rich(X0))) [input p7]
15. ! [X0] : ((patient(X0) & funny(X0)) <=> ~ri... | 0 |
If someone is both not happy and patient then someone is both wise and not brave and vice versa.
Everyone who is both rich and old is old or happy.
Everyone who is strong or funny is either not kind or not curious.
If john is both not wise and generous then john is both wise and not curious.
Everyone who is funny is no... | Mary is not quiet. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((rich(X)&old(X))=>(old(X)|happy(X))))&
(![X]:((strong(X)|funny(X))=>(~kind(X)<~>~curious(X))))&
(((~wise(john)&generous(john)))=>((wise(john)&~curious(john))))&
(![X]:(funny(X)<=>(~quiet(X)|creative(X))))&
(![X]:((funny(X)<~>~creative(X))=>(genero... | ~quiet(mary) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3095707405044544702279345
% SZS output start Proof for 3095707405044544702279345
8. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p7]
10. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input p9]
24. quiet(mary) [input hypothesis]
36. ! [X0] : (~patient(X0) |... | 0 |
If lucy is not brave then someone is humble and vice versa.
If someone is either wise or not strong then someone is calm or rich.
Everyone who is not rich is not rich or happy and vice versa.
Everyone who is not generous is either curious or not curious and vice versa.
Everyone who is either rich or not calm is not old... | Alice is old. | neutral | ((~brave(lucy))<=>(?[X]:(humble(X))))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:(~rich(X)<=>(~rich(X)|happy(X))))&
(![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))&
(![X]:((rich(X)<~>~calm(X))<=>(~old(X)|happy(X))))&
(![X]:((humble(X)|~happy(X))=>~humble(X)))&
((~curious(alice))=>(?[X]:((c... | old(alice) | [] | null | 0 |
If someone is not curious or happy then mary is not funny or not quiet and vice versa. Everyone who is not quiet is creative or happy and vice versa. Everyone who is brave or not creative is not humble and vice versa. Everyone who is both patient and not happy is calm or not funny. Everyone who is brave is either quiet... | Paul is not kind. | contradiction | ((?[X]:((~curious(X)|happy(X))))<=>((~funny(mary)|~quiet(mary))))&
(![X]:(~quiet(X)<=>(creative(X)|happy(X))))&
(![X]:((brave(X)|~creative(X))<=>~humble(X)))&
(![X]:((patient(X)&~happy(X))=>(calm(X)|~funny(X))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((... | ~kind(paul) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 963883622880498105573696
% SZS output start Proof for 963883622880498105573696
2. ! [X0] : (~quiet(X0) <=> (happy(X0) | creative(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | brave(X0)) <=> ~humble(X0)) [input p2]
5. ! [X0] : (brave(X0) => (quiet(X0) <~> ~kind(X0))) [input p4]
6. ! [X0] ... | 0 |
Everyone who is not tall or not humble is happy or calm and vice versa. Everyone who is rich is not kind. If mary is either not generous or rich then someone is kind or not creative. If someone is both not quiet and rich then alice is both tall and kind and vice versa. Everyone who is either funny or strong is either h... | Fred is patient. | neutral | (![X]:((~tall(X)|~humble(X))<=>(happy(X)|calm(X))))&
(![X]:(rich(X)=>~kind(X)))&
(((~generous(mary)<~>rich(mary)))=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((~quiet(X)&rich(X))))<=>((tall(alice)&kind(alice))))&
(![X]:((funny(X)<~>strong(X))<=>(happy(X)<~>~generous(X))))&
(((creative(john)|~happy(john)))<=>(wise(mary))... | patient(fred) | [] | null | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | John is creative. | entailment | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | creative(john) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8202306853270647231256038
% SZS output start Proof for 8202306853270647231256038
3. ! [X0] : (~curious(X0) <=> (kind(X0) | curious(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~kind(X0) | ~old(X0))) [input p3]
8. ! [X0] : ((funny(X0) & quiet(X0)) <=> (tall(X0) <~> funny(X0))) [input p7]
9... | 0 |
Everyone who is not happy is both not patient and calm.
Everyone who is not patient or calm is both happy and tall and vice versa.
If someone is strong or not curious then paul is not brave and vice versa.
If alice is not old then someone is either patient or kind.
If someone is patient then mary is both rich and brave... | Mary is not creative. | neutral | (![X]:(~happy(X)=>(~patient(X)&calm(X))))&
(![X]:((~patient(X)|calm(X))<=>(happy(X)&tall(X))))&
((?[X]:((strong(X)|~curious(X))))<=>(~brave(paul)))&
((~old(alice))=>(?[X]:((patient(X)<~>kind(X)))))&
((?[X]:(patient(X)))=>((rich(mary)&brave(mary))))&
(![X]:((old(X)<~>~old(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~happy(X)... | ~creative(mary) | [] | null | 0 |
Everyone who is not humble or curious is kind or generous. If someone is both not generous and quiet then someone is strong and vice versa. Everyone who is happy is quiet or creative and vice versa. If alice is either tall or brave then someone is not creative or wise. Everyone who is both not curious and happy is stro... | Lucy is quiet. | neutral | (![X]:((~humble(X)|curious(X))=>(kind(X)|generous(X))))&
((?[X]:((~generous(X)&quiet(X))))<=>(?[X]:(strong(X))))&
(![X]:(happy(X)<=>(quiet(X)|creative(X))))&
(((tall(alice)<~>brave(alice)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~curious(X)&happy(X))=>(strong(X)|~funny(X))))&
(![X]:(creative(X)<=>generous(X)))&
(((... | quiet(lucy) | [] | null | 0 |
If someone is either curious or not tall then someone is humble and vice versa.
Everyone who is either not strong or not funny is wise or not calm and vice versa.
If someone is both not rich and old then someone is not funny and vice versa.
Everyone who is happy or calm is both not generous and patient.
Everyone who is... | Susan is not wise. | entailment | ((?[X]:((curious(X)<~>~tall(X))))<=>(?[X]:(humble(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>(wise(X)|~calm(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(~funny(X))))&
(![X]:((happy(X)|calm(X))=>(~generous(X)&patient(X))))&
(![X]:(~strong(X)=>(tall(X)|~wise(X))))&
(![X]:((~humble(X)|quiet(X))<=>(~rich(X)|calm(X))))&
(![X]:... | ~wise(susan) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7490740852358020794114680
% SZS output start Proof for 7490740852358020794114680
2. ! [X0] : ((~strong(X0) <~> ~funny(X0)) <=> (~calm(X0) | wise(X0))) [input p1]
4. ! [X0] : ((calm(X0) | happy(X0)) => (patient(X0) & ~generous(X0))) [input p3]
6. ! [X0] : ((quiet(X0) | ~humble(X0)) <=> (ca... | 0 |
Everyone who is not humble is both not patient and creative and vice versa. Everyone who is not generous or funny is funny or not brave. If someone is either quiet or humble then someone is not strong. Everyone who is both not calm and calm is generous and vice versa. Everyone who is either not patient or wise is not c... | Susan is not happy. | neutral | (![X]:(~humble(X)<=>(~patient(X)&creative(X))))&
(![X]:((~generous(X)|funny(X))=>(funny(X)|~brave(X))))&
((?[X]:((quiet(X)<~>humble(X))))=>(?[X]:(~strong(X))))&
(![X]:((~calm(X)&calm(X))<=>generous(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~curious(X)|~generous(X))))&
(![X]:((~brave(X)&~curious(X))=>(old(X)|~quiet(X))))&
... | ~happy(susan) | [] | null | 0 |
If susan is humble then someone is not quiet or not humble and vice versa. If someone is either generous or funny then john is funny and vice versa. Everyone who is either not kind or not happy is patient and vice versa. If someone is strong or not happy then someone is generous or patient and vice versa. If mary is ol... | Alice is not curious. | neutral | ((humble(susan))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((generous(X)<~>funny(X))))<=>(funny(john)))&
(![X]:((~kind(X)<~>~happy(X))<=>patient(X)))&
((?[X]:((strong(X)|~happy(X))))<=>(?[X]:((generous(X)|patient(X)))))&
((old(mary))<=>(?[X]:((~brave(X)&~humble(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((tall(X)<~>brave(X))))... | ~curious(alice) | [] | null | 0 |
If someone is both not strong and calm then paul is both not wise and not rich and vice versa.
Everyone who is both not wise and generous is brave or not funny and vice versa.
Everyone who is not tall is quiet or not happy and vice versa.
If paul is rich then mary is both wise and not kind.
Everyone who is not happy is... | Lucy is rich. | contradiction | ((?[X]:((~strong(X)&calm(X))))<=>((~wise(paul)&~rich(paul))))&
(![X]:((~wise(X)&generous(X))<=>(brave(X)|~funny(X))))&
(![X]:(~tall(X)<=>(quiet(X)|~happy(X))))&
((rich(paul))=>((wise(mary)&~kind(mary))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((~brav... | rich(lucy) | [
"p2",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5882560839776216033800895
% SZS output start Proof for 5882560839776216033800895
3. ! [X0] : (~tall(X0) <=> (~happy(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((~brave(X0) <~> kind(X0)) <=> (wise(X0) <~> old(X0))) [input p6]
9. ! [X0] : ((~old(X0) <~> humble(X0)) => (curious(X0) & quiet(X0)... | 0 |
Everyone who is not curious or wise is kind and vice versa.
Everyone who is kind or old is not quiet or strong and vice versa.
Everyone who is either wise or not rich is not quiet.
If paul is either not quiet or creative then paul is both not wise and not strong.
If mary is generous then susan is either brave or humble... | Fred is creative. | entailment | (![X]:((~curious(X)|wise(X))<=>kind(X)))&
(![X]:((kind(X)|old(X))<=>(~quiet(X)|strong(X))))&
(![X]:((wise(X)<~>~rich(X))=>~quiet(X)))&
(((~quiet(paul)<~>creative(paul)))=>((~wise(paul)&~strong(paul))))&
((generous(mary))=>((brave(susan)<~>humble(susan))))&
((~calm(paul))<=>(?[X]:(~strong(X))))&
((?[X]:((patient(X)&wise... | creative(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 746501924443965646869512
% SZS output start Proof for 746501924443965646869512
23. creative(fred) & ~quiet(fred) [input p22]
24. ~creative(fred) [input hypothesis]
131. creative(fred) [cnf transformation 23]
132. ~creative(fred) [cnf transformation 24]
303. $false [subsumption resolution ... | 0 |
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Lucy is not strong. | contradiction | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | ~strong(lucy) | [
"p6",
"p7",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 41138631205070857989239
% SZS output start Proof for 41138631205070857989239
7. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p6]
8. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (curious(X0) | tall(X0))) [input p7]
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & hap... | 0 |
If john is strong then john is either kind or not calm.
Everyone who is either not patient or not funny is either not funny or strong.
Everyone who is both not curious and not brave is either not strong or curious.
If mary is patient then paul is not generous or wise and vice versa.
Everyone who is both not kind and ge... | Paul is quiet. | neutral | ((strong(john))=>((kind(john)<~>~calm(john))))&
(![X]:((~patient(X)<~>~funny(X))=>(~funny(X)<~>strong(X))))&
(![X]:((~curious(X)&~brave(X))=>(~strong(X)<~>curious(X))))&
((patient(mary))<=>((~generous(paul)|wise(paul))))&
(![X]:((~kind(X)&generous(X))<=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(ali... | quiet(paul) | [] | null | 0 |
If someone is not brave then someone is not brave or wise.
Everyone who is wise or not humble is not rich.
Everyone who is either not rich or rich is either creative or brave.
Everyone who is not creative is either not creative or wise.
Everyone who is both not creative and creative is creative and vice versa.
If paul ... | Alice is creative. | contradiction | ((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((wise(X)|~humble(X))=>~rich(X)))&
(![X]:((~rich(X)<~>rich(X))=>(creative(X)<~>brave(X))))&
(![X]:(~creative(X)=>(~creative(X)<~>wise(X))))&
(![X]:((~creative(X)&creative(X))<=>creative(X)))&
((patient(paul))=>(?[X]:((happy(X)<~>~curious(X)))))&
((?[X]:((~creati... | creative(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 790502069152005109932240
% SZS output start Proof for 790502069152005109932240
5. ! [X0] : ((creative(X0) & ~creative(X0)) <=> creative(X0)) [input p4]
25. creative(alice) [input hypothesis]
46. ! [X0] : (((creative(X0) & ~creative(X0)) | ~creative(X0)) & (creative(X0) | (~creative(X0) | ... | 0 |
Everyone who is tall or not brave is either not tall or not old.
If john is both not generous and quiet then someone is patient or tall and vice versa.
If susan is either not kind or tall then susan is tall or not quiet and vice versa.
Everyone who is either not calm or not happy is either humble or kind.
Everyone who ... | Mary is not kind. | contradiction | (![X]:((tall(X)|~brave(X))=>(~tall(X)<~>~old(X))))&
(((~generous(john)&quiet(john)))<=>(?[X]:((patient(X)|tall(X)))))&
(((~kind(susan)<~>tall(susan)))<=>((tall(susan)|~quiet(susan))))&
(![X]:((~calm(X)<~>~happy(X))=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(strong(X)|curious(X))))&
((?[X]:(~quiet(X)))<=>((rich(fred)&... | ~kind(mary) | [
"p0",
"p4",
"p5",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7589980016407745779240499
% SZS output start Proof for 7589980016407745779240499
1. ! [X0] : ((~brave(X0) | tall(X0)) => (~tall(X0) <~> ~old(X0))) [input p0]
5. ! [X0] : (~kind(X0) <=> (curious(X0) | strong(X0))) [input p4]
6. ? [X0] : ~quiet(X0) <=> (~patient(fred) & rich(fred)) [input p... | 0 |
Everyone who is patient or not patient is calm or tall. Everyone who is both not rich and not humble is both generous and wise and vice versa. Everyone who is generous is not curious and vice versa. Everyone who is not quiet or not old is calm and vice versa. If john is not wise or curious then someone is not patient. ... | Lucy is not curious. | neutral | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[... | ~curious(lucy) | [] | null | 0 |
Everyone who is not patient is not quiet or old and vice versa.
Everyone who is both patient and kind is not rich and vice versa.
Everyone who is patient is both not happy and not old.
If john is wise or old then someone is either not brave or old and vice versa.
Everyone who is not creative or funny is both generous a... | Susan is funny. | neutral | (![X]:(~patient(X)<=>(~quiet(X)|old(X))))&
(![X]:((patient(X)&kind(X))<=>~rich(X)))&
(![X]:(patient(X)=>(~happy(X)&~old(X))))&
(((wise(john)|old(john)))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:((~creative(X)|funny(X))<=>(generous(X)&~happy(X))))&
((?[X]:((quiet(X)<~>curious(X))))=>((kind(susan)<~>~rich(susan))))&
((?[X... | funny(susan) | [] | null | 0 |
Everyone who is not quiet is both not brave and not calm.
If mary is not kind or rich then susan is either happy or wise and vice versa.
If someone is either humble or rich then susan is both not wise and not rich and vice versa.
Everyone who is wise is wise or not patient and vice versa.
If alice is calm then someone ... | Paul is not kind. | entailment | (![X]:(~quiet(X)=>(~brave(X)&~calm(X))))&
(((~kind(mary)|rich(mary)))<=>((happy(susan)<~>wise(susan))))&
((?[X]:((humble(X)<~>rich(X))))<=>((~wise(susan)&~rich(susan))))&
(![X]:(wise(X)<=>(wise(X)|~patient(X))))&
((calm(alice))=>(?[X]:(quiet(X))))&
(((~calm(lucy)&~brave(lucy)))=>((funny(alice)|tall(alice))))&
(![X]:(ca... | ~kind(paul) | [
"p0",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2432295877879007753538657
% SZS output start Proof for 2432295877879007753538657
1. ! [X0] : (~quiet(X0) => (~calm(X0) & ~brave(X0))) [input p0]
14. ~quiet(alice) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p13]
18. brave(alice) [input p17]
25. kind(paul) [input hypothesis]
26. ! [X0] ... | 0 |
Everyone who is either not happy or calm is either wise or strong.
If someone is patient or not old then someone is both not funny and not quiet.
Everyone who is not kind is either kind or not kind and vice versa.
Everyone who is not tall is both funny and strong.
Everyone who is not happy is both patient and brave and... | John is not funny. | neutral | (![X]:((~happy(X)<~>calm(X))=>(wise(X)<~>strong(X))))&
((?[X]:((patient(X)|~old(X))))=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)<~>~kind(X))))&
(![X]:(~tall(X)=>(funny(X)&strong(X))))&
(![X]:(~happy(X)<=>(patient(X)&brave(X))))&
((~rich(alice))=>((generous(paul)&curious(paul))))&
(![X]:((~happy(X)|qui... | ~funny(john) | [] | null | 0 |
If someone is both wise and not wise then someone is humble or not rich.
Everyone who is both tall and strong is either creative or not old.
Everyone who is not humble or not strong is creative or calm and vice versa.
Everyone who is either not brave or not funny is either old or not kind.
Everyone who is either wise o... | Mary is not kind. | entailment | ((?[X]:((wise(X)&~wise(X))))=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((tall(X)&strong(X))=>(creative(X)<~>~old(X))))&
(![X]:((~humble(X)|~strong(X))<=>(creative(X)|calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(old(X)<~>~kind(X))))&
(![X]:((wise(X)<~>~generous(X))=>(~generous(X)|curious(X))))&
(((~rich(paul)<~>funny(paul)... | ~kind(mary) | [
"p8",
"p9",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8966795359631805722230070
% SZS output start Proof for 8966795359631805722230070
9. (~humble(mary) <~> rich(mary)) <=> ? [X0] : (~happy(X0) & patient(X0)) [input p8]
10. ! [X0] : (strong(X0) <=> (kind(X0) & ~humble(X0))) [input p9]
15. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~patient(X0) &... | 0 |
Everyone who is not tall is not humble or tall and vice versa.
If someone is kind then someone is either not humble or not generous and vice versa.
Everyone who is not creative is calm and vice versa.
If susan is both generous and calm then susan is either not kind or not strong.
Everyone who is both not brave and stro... | Paul is not funny. | neutral | (![X]:(~tall(X)<=>(~humble(X)|tall(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
(![X]:(~creative(X)<=>calm(X)))&
(((generous(susan)&calm(susan)))=>((~kind(susan)<~>~strong(susan))))&
(![X]:((~brave(X)&strong(X))<=>(~patient(X)&wise(X))))&
(![X]:(patient(X)=>~patient(X)))&
(![X]:((kind(X)&tall(X))=>... | ~funny(paul) | [] | null | 0 |
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise and vice versa.
If someone is brave or not humble then alice is either not old or not happy.
If mary is strong then someone is brave... | Fred is funny. | entailment | (![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(mary))<=>(?[X]:((brave(X)|~old(X)))))&
(((~generous(paul)|humble(paul)))=>((~generous(alice)|~hap... | funny(fred) | [
"p0",
"p2",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 817202064603877204836658
% SZS output start Proof for 817202064603877204836658
1. ! [X0] : (wise(X0) => (old(X0) & ~calm(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> wise(X0)) [input p2]
13. ! [X0] : ((curious(X0) | happy(X0)) <=> ~old(X0)) [input p12]
16. ! [X0] : ((old(X... | 0 |
If someone is not wise or not tall then someone is not calm and vice versa. If someone is generous or not patient then alice is either not happy or humble and vice versa. If fred is either not old or not tall then fred is not creative and vice versa. Everyone who is funny is both not generous and not happy. Everyone wh... | John is not patient. | contradiction | ((?[X]:((~wise(X)|~tall(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)|~patient(X))))<=>((~happy(alice)<~>humble(alice))))&
(((~old(fred)<~>~tall(fred)))<=>(~creative(fred)))&
(![X]:(funny(X)=>(~generous(X)&~happy(X))))&
(![X]:((~quiet(X)|~rich(X))<=>~old(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((generous(X)<~>~wi... | ~patient(john) | [
"p3",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3689972463695525991737214
% SZS output start Proof for 3689972463695525991737214
4. ! [X0] : (funny(X0) => (~happy(X0) & ~generous(X0))) [input p3]
7. ! [X0] : ((generous(X0) <~> ~wise(X0)) => happy(X0)) [input p6]
11. ! [X0] : ((~tall(X0) & funny(X0)) <=> (humble(X0) | ~patient(X0))) [in... | 0 |
If someone is not patient or not generous then john is either wise or not brave and vice versa.
If someone is not rich or humble then john is creative.
Everyone who is both creative and not wise is not kind or not happy and vice versa.
If susan is both calm and not wise then mary is both not quiet and old.
If lucy is e... | Mary is kind. | entailment | ((?[X]:((~patient(X)|~generous(X))))<=>((wise(john)<~>~brave(john))))&
((?[X]:((~rich(X)|humble(X))))=>(creative(john)))&
(![X]:((creative(X)&~wise(X))<=>(~kind(X)|~happy(X))))&
(((calm(susan)&~wise(susan)))=>((~quiet(mary)&old(mary))))&
(((rich(lucy)<~>~tall(lucy)))=>((wise(john)|patient(john))))&
((?[X]:(rich(X)))<=>... | kind(mary) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2551718370647341375554490
% SZS output start Proof for 2551718370647341375554490
12. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~happy(X0) & kind(X0))) [input p11]
14. ! [X0] : ((strong(X0) & kind(X0)) <=> quiet(X0)) [input p13]
25. ~kind(mary) [input hypothesis]
60. ! [X0] : (((~quiet(X0) |... | 0 |
Everyone who is both not calm and quiet is either not creative or funny.
If someone is not funny or rich then susan is either kind or not tall.
If alice is either not strong or tall then susan is not old and vice versa.
Everyone who is both not funny and patient is both not brave and not tall.
Everyone who is both not ... | Lucy is humble. | contradiction | (![X]:((~calm(X)&quiet(X))=>(~creative(X)<~>funny(X))))&
((?[X]:((~funny(X)|rich(X))))=>((kind(susan)<~>~tall(susan))))&
(((~strong(alice)<~>tall(alice)))<=>(~old(susan)))&
(![X]:((~funny(X)&patient(X))=>(~brave(X)&~tall(X))))&
(![X]:((~humble(X)&~patient(X))=>(calm(X)&~quiet(X))))&
(![X]:(humble(X)=>(creative(X)&~stro... | humble(lucy) | [
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3427651286038602760945446
% SZS output start Proof for 3427651286038602760945446
6. ! [X0] : (humble(X0) => (~strong(X0) & creative(X0))) [input p5]
20. strong(lucy) & ~calm(lucy) [input p19]
24. humble(lucy) [input hypothesis]
35. ! [X0] : ((~strong(X0) & creative(X0)) | ~humble(X0)) [en... | 0 |
Everyone who is either generous or not strong is either not kind or kind and vice versa.
If someone is either happy or not patient then someone is tall or funny.
Everyone who is not wise or not curious is generous and vice versa.
Everyone who is both not humble and not creative is both tall and not brave and vice versa... | Lucy is not humble. | entailment | (![X]:((generous(X)<~>~strong(X))<=>(~kind(X)<~>kind(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~wise(X)|~curious(X))<=>generous(X)))&
(![X]:((~humble(X)&~creative(X))<=>(tall(X)&~brave(X))))&
((~rich(lucy))=>((~funny(mary)<~>~generous(mary))))&
((?[X]:(happy(X)))=>(?[X]:((brave(X)... | ~humble(lucy) | [
"p0",
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2100096480807985364475099
% SZS output start Proof for 2100096480807985364475099
1. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~kind(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> generous(X0)) [input p2]
12. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0)... | 0 |
Everyone who is both not wise and not curious is kind or rich.
If john is both not old and not rich then paul is both quiet and rich and vice versa.
If someone is happy or humble then someone is kind.
Everyone who is both not funny and not strong is either calm or not calm and vice versa.
Everyone who is both tall and ... | Alice is strong. | contradiction | (![X]:((~wise(X)&~curious(X))=>(kind(X)|rich(X))))&
(((~old(john)&~rich(john)))<=>((quiet(paul)&rich(paul))))&
((?[X]:((happy(X)|humble(X))))=>(?[X]:(kind(X))))&
(![X]:((~funny(X)&~strong(X))<=>(calm(X)<~>~calm(X))))&
(![X]:((tall(X)&~kind(X))=>(~creative(X)|~tall(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~strong(X)|patie... | strong(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6975333630060754983515660
% SZS output start Proof for 6975333630060754983515660
4. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (calm(X0) <~> ~calm(X0))) [input p3]
25. strong(alice) [input hypothesis]
48. ! [X0] : (((~strong(X0) & ~funny(X0)) | ((calm(X0) | calm(X0)) & (~calm(X0) | ~calm(X0... | 0 |
Everyone who is either not brave or humble is not old and vice versa.
Everyone who is either old or not rich is not quiet and vice versa.
Everyone who is either wise or quiet is happy.
If lucy is either not happy or not quiet then fred is tall.
Everyone who is both patient and not funny is both not happy and quiet.
If ... | Lucy is wise. | contradiction | (![X]:((~brave(X)<~>humble(X))<=>~old(X)))&
(![X]:((old(X)<~>~rich(X))<=>~quiet(X)))&
(![X]:((wise(X)<~>quiet(X))=>happy(X)))&
(((~happy(lucy)<~>~quiet(lucy)))=>(tall(fred)))&
(![X]:((patient(X)&~funny(X))=>(~happy(X)&quiet(X))))&
(((creative(lucy)<~>tall(lucy)))<=>(?[X]:((~patient(X)|patient(X)))))&
(![X]:((humble(X)<... | wise(lucy) | [
"p1",
"p2",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6905606128862892383246348
% SZS output start Proof for 6905606128862892383246348
2. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : ((wise(X0) <~> quiet(X0)) => happy(X0)) [input p2]
11. ! [X0] : (wise(X0) => (~rich(X0) & ~happy(X0))) [input p10]
14. ! [X0] : ((ol... | 0 |
Everyone who is not funny or not tall is both not calm and patient. Everyone who is not strong or happy is calm. Everyone who is not happy is not generous or funny and vice versa. If someone is both creative and humble then someone is both generous and not generous. If someone is brave or not funny then paul is both ta... | Paul is not funny. | contradiction | (![X]:((~funny(X)|~tall(X))=>(~calm(X)&patient(X))))&
(![X]:((~strong(X)|happy(X))=>calm(X)))&
(![X]:(~happy(X)<=>(~generous(X)|funny(X))))&
((?[X]:((creative(X)&humble(X))))=>(?[X]:((generous(X)&~generous(X)))))&
((?[X]:((brave(X)|~funny(X))))=>((tall(paul)&~rich(paul))))&
((?[X]:((~curious(X)&~brave(X))))=>(wise(john... | ~funny(paul) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5892747583363031965468816
% SZS output start Proof for 5892747583363031965468816
1. ! [X0] : ((~tall(X0) | ~funny(X0)) => (patient(X0) & ~calm(X0))) [input p0]
2. ! [X0] : ((happy(X0) | ~strong(X0)) => calm(X0)) [input p1]
8. ! [X0] : (~strong(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
... | 0 |
Everyone who is not funny or not wise is not brave. Everyone who is not patient is either brave or funny. Everyone who is not happy or not old is not curious and vice versa. If someone is both quiet and not patient then mary is not kind or not tall and vice versa. If someone is not calm or not quiet then someone is old... | Paul is not tall. | contradiction | (![X]:((~funny(X)|~wise(X))=>~brave(X)))&
(![X]:(~patient(X)=>(brave(X)<~>funny(X))))&
(![X]:((~happy(X)|~old(X))<=>~curious(X)))&
((?[X]:((quiet(X)&~patient(X))))<=>((~kind(mary)|~tall(mary))))&
((?[X]:((~calm(X)|~quiet(X))))<=>(?[X]:((old(X)|tall(X)))))&
(((~kind(john)|calm(john)))<=>(~humble(john)))&
(((~generous(pa... | ~tall(paul) | [
"p0",
"p1",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2622571510945405880866992
% SZS output start Proof for 2622571510945405880866992
1. ! [X0] : ((~wise(X0) | ~funny(X0)) => ~brave(X0)) [input p0]
2. ! [X0] : (~patient(X0) => (brave(X0) <~> funny(X0))) [input p1]
9. ! [X0] : ((~happy(X0) & tall(X0)) <=> (humble(X0) & ~happy(X0))) [input p8... | 0 |
Everyone who is either not calm or kind is either not humble or not curious and vice versa.
If lucy is both not strong and patient then susan is both quiet and brave and vice versa.
Everyone who is wise or not kind is both not kind and not humble.
Everyone who is generous is not old or not curious.
Everyone who is eith... | Mary is strong. | neutral | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~curious(X))))&
(((~strong(lucy)&patient(lucy)))<=>((quiet(susan)&brave(susan))))&
(![X]:((wise(X)|~kind(X))=>(~kind(X)&~humble(X))))&
(![X]:(generous(X)=>(~old(X)|~curious(X))))&
(![X]:((humble(X)<~>~happy(X))<=>funny(X)))&
(![X]:(old(X)=>(~old(X)<~>quiet(X))))&
(![X]:((curi... | strong(mary) | [] | null | 0 |
Everyone who is happy or brave is both funny and creative and vice versa.
Everyone who is both kind and humble is both kind and brave.
Everyone who is either not patient or old is either not rich or tall and vice versa.
Everyone who is not happy or calm is strong or not curious.
Everyone who is both not humble and old ... | Alice is tall. | contradiction | (![X]:((happy(X)|brave(X))<=>(funny(X)&creative(X))))&
(![X]:((kind(X)&humble(X))=>(kind(X)&brave(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~happy(X)|calm(X))=>(strong(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>~brave(X)))&
(![X]:((curious(X)<~>~curious(X))=>~happy(X)))&
((curious(john... | tall(alice) | [
"p0",
"p4",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4624063374327487296407286
% SZS output start Proof for 4624063374327487296407286
1. ! [X0] : ((brave(X0) | happy(X0)) <=> (creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((old(X0) & ~humble(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) => ~happy(X0)) [inpu... | 0 |
If alice is both not generous and strong then alice is either not wise or not generous and vice versa.
If john is both funny and strong then fred is curious or not strong.
Everyone who is wise or not rich is both patient and not patient and vice versa.
Everyone who is calm is curious or generous.
Everyone who is quiet ... | Alice is strong. | contradiction | (((~generous(alice)&strong(alice)))<=>((~wise(alice)<~>~generous(alice))))&
(((funny(john)&strong(john)))=>((curious(fred)|~strong(fred))))&
(![X]:((wise(X)|~rich(X))<=>(patient(X)&~patient(X))))&
(![X]:(calm(X)=>(curious(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(~wise(X)<~>happy(X))))&
(![X]:(calm(X)<=>(funny(X)<... | strong(alice) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6488170154393688226839898
% SZS output start Proof for 6488170154393688226839898
1. (strong(alice) & ~generous(alice)) <=> (~wise(alice) <~> ~generous(alice)) [input p0]
3. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~patient(X0) & patient(X0))) [input p2]
23. strong(alice) [input hypothesis]
3... | 0 |
Everyone who is either strong or not generous is both creative and generous and vice versa.
Everyone who is both not old and rich is generous.
Everyone who is either not strong or not creative is either not funny or not strong.
Everyone who is both not brave and not rich is not brave or not rich.
Everyone who is strong... | Susan is not quiet. | entailment | (![X]:((strong(X)<~>~generous(X))<=>(creative(X)&generous(X))))&
(![X]:((~old(X)&rich(X))=>generous(X)))&
(![X]:((~strong(X)<~>~creative(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((~brave(X)&~rich(X))=>(~brave(X)|~rich(X))))&
(![X]:(strong(X)=>quiet(X)))&
(((rich(alice)<~>happy(alice)))=>((creative(alice)|calm(alice))))&
... | ~quiet(susan) | [
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5760616250996458356272534
% SZS output start Proof for 5760616250996458356272534
10. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~tall(X0) & funny(X0))) [input p9]
12. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> patient(X0)) [input p11]
13. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ~quiet(X... | 0 |
If someone is both quiet and not humble then someone is either not wise or funny.
If paul is both not quiet and tall then susan is either not brave or not quiet.
If someone is both not generous and curious then paul is both calm and creative and vice versa.
Everyone who is both not happy and calm is wise and vice versa... | Mary is wise. | contradiction | ((?[X]:((quiet(X)&~humble(X))))=>(?[X]:((~wise(X)<~>funny(X)))))&
(((~quiet(paul)&tall(paul)))=>((~brave(susan)<~>~quiet(susan))))&
((?[X]:((~generous(X)&curious(X))))<=>((calm(paul)&creative(paul))))&
(![X]:((~happy(X)&calm(X))<=>wise(X)))&
(((funny(fred)|wise(fred)))<=>(?[X]:((~brave(X)|funny(X)))))&
(![X]:(~strong(X... | wise(mary) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 12362659324079616612893
% SZS output start Proof for 12362659324079616612893
4. ! [X0] : ((calm(X0) & ~happy(X0)) <=> wise(X0)) [input p3]
20. ~calm(mary) & ~tall(mary) [input p19]
25. wise(mary) [input hypothesis]
44. ! [X0] : (((calm(X0) & ~happy(X0)) | ~wise(X0)) & (wise(X0) | (~calm(X... | 0 |
If fred is curious then someone is not wise.
If alice is old then someone is both not brave and strong and vice versa.
If john is not tall then fred is not creative or old.
If someone is not rich or not calm then someone is both wise and not strong and vice versa.
Everyone who is not tall is both calm and tall and vice... | John is brave. | entailment | ((curious(fred))=>(?[X]:(~wise(X))))&
((old(alice))<=>(?[X]:((~brave(X)&strong(X)))))&
((~tall(john))=>((~creative(fred)|old(fred))))&
((?[X]:((~rich(X)|~calm(X))))<=>(?[X]:((wise(X)&~strong(X)))))&
(![X]:(~tall(X)<=>(calm(X)&tall(X))))&
(![X]:(~rich(X)=>(patient(X)<~>~kind(X))))&
(((humble(john)|funny(john)))=>((~pati... | brave(john) | [
"p3",
"p4",
"p7",
"p8",
"p9",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1702287689391023010250342
% SZS output start Proof for 1702287689391023010250342
4. ? [X0] : (~calm(X0) | ~rich(X0)) <=> ? [X0] : (~strong(X0) & wise(X0)) [input p3]
5. ! [X0] : (~tall(X0) <=> (tall(X0) & calm(X0))) [input p4]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) <=> (tall(X0) <~> patien... | 0 |
If someone is kind then someone is both wise and not funny. Everyone who is not kind or tall is both not kind and kind. Everyone who is both quiet and old is both calm and not happy. If lucy is both quiet and not kind then john is either wise or not calm. Everyone who is curious is not happy or not quiet and vice versa... | Susan is not funny. | contradiction | ((?[X]:(kind(X)))=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~kind(X)|tall(X))=>(~kind(X)&kind(X))))&
(![X]:((quiet(X)&old(X))=>(calm(X)&~happy(X))))&
(((quiet(lucy)&~kind(lucy)))=>((wise(john)<~>~calm(john))))&
(![X]:(curious(X)<=>(~happy(X)|~quiet(X))))&
((?[X]:((rich(X)|funny(X))))=>((~old(john)<~>brave(john))))&
(![X]... | ~funny(susan) | [
"p1",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7781170918184066665879330
% SZS output start Proof for 7781170918184066665879330
2. ! [X0] : ((tall(X0) | ~kind(X0)) => (kind(X0) & ~kind(X0))) [input p1]
16. ! [X0] : (strong(X0) <=> (creative(X0) & funny(X0))) [input p15]
19. strong(susan) <~> ~kind(susan) [input p18]
24. ~funny(susan) ... | 0 |
Everyone who is both kind and not tall is either not funny or not creative. Everyone who is not strong is kind or not tall and vice versa. If someone is creative or not curious then lucy is either not old or brave and vice versa. Everyone who is both calm and not happy is not generous and vice versa. If someone is not ... | Paul is creative. | entailment | (![X]:((kind(X)&~tall(X))=>(~funny(X)<~>~creative(X))))&
(![X]:(~strong(X)<=>(kind(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((~old(lucy)<~>brave(lucy))))&
(![X]:((calm(X)&~happy(X))<=>~generous(X)))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:(~curious(X)=>(brave(X)<~>cre... | creative(paul) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8245181955697689197855175
% SZS output start Proof for 8245181955697689197855175
7. ! [X0] : (tall(X0) <=> quiet(X0)) [input p6]
10. ! [X0] : ((quiet(X0) | ~tall(X0)) <=> (creative(X0) & rich(X0))) [input p9]
22. ~creative(paul) [input hypothesis]
49. ! [X0] : ((tall(X0) | ~quiet(X0)) & (... | 0 |
Everyone who is not brave or happy is both quiet and patient.
If mary is not kind or calm then someone is not brave or not wise.
Everyone who is not curious or calm is either strong or brave.
If someone is happy then someone is either happy or not old.
Everyone who is either funny or creative is not quiet.
If someone i... | Fred is not rich. | neutral | (![X]:((~brave(X)|happy(X))=>(quiet(X)&patient(X))))&
(((~kind(mary)|calm(mary)))=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:((~curious(X)|calm(X))=>(strong(X)<~>brave(X))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)<~>~old(X)))))&
(![X]:((funny(X)<~>creative(X))=>~quiet(X)))&
((?[X]:(tall(X)))<=>(?[X]:((~calm(X)|~quiet(X)))))&... | ~rich(fred) | [] | null | 0 |
Everyone who is calm is patient and vice versa. Everyone who is brave is both not happy and not quiet. Everyone who is wise is either not strong or old and vice versa. If someone is either happy or humble then someone is both wise and not kind and vice versa. Everyone who is either curious or humble is tall. If someone... | Susan is generous. | neutral | (![X]:(calm(X)<=>patient(X)))&
(![X]:(brave(X)=>(~happy(X)&~quiet(X))))&
(![X]:(wise(X)<=>(~strong(X)<~>old(X))))&
((?[X]:((happy(X)<~>humble(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((curious(X)<~>humble(X))=>tall(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~kind(X))<=>(~p... | generous(susan) | [] | null | 0 |
If john is wise or strong then someone is both not patient and rich and vice versa.
Everyone who is not brave or generous is either humble or happy.
Everyone who is both brave and wise is either old or not curious.
Everyone who is brave is both generous and creative and vice versa.
If mary is either not kind or not ric... | Paul is happy. | entailment | (((wise(john)|strong(john)))<=>(?[X]:((~patient(X)&rich(X)))))&
(![X]:((~brave(X)|generous(X))=>(humble(X)<~>happy(X))))&
(![X]:((brave(X)&wise(X))=>(old(X)<~>~curious(X))))&
(![X]:(brave(X)<=>(generous(X)&creative(X))))&
(((~kind(mary)<~>~rich(mary)))<=>((~funny(john)&patient(john))))&
(![X]:((~rich(X)|~calm(X))=>(~pa... | happy(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1334926223666881984762716
% SZS output start Proof for 1334926223666881984762716
14. ! [X0] : ((rich(X0) | ~happy(X0)) <=> (~strong(X0) & happy(X0))) [input p13]
21. ~happy(paul) [input hypothesis]
60. ! [X0] : (((rich(X0) | ~happy(X0)) | (strong(X0) | ~happy(X0))) & ((~strong(X0) & happy... | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Paul is curious. | entailment | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | curious(paul) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 533135469206505999375801
% SZS output start Proof for 533135469206505999375801
1. ? [X0] : (curious(X0) <~> ~humble(X0)) <=> ? [X0] : ~wise(X0) [input p0]
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
6. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~generous(X0) & old(X0))) ... | 0 |
If fred is either not kind or creative then alice is both quiet and not humble and vice versa. If susan is either wise or not generous then someone is either not brave or rich and vice versa. If alice is both not calm and not curious then someone is either happy or strong and vice versa. Everyone who is tall or not tal... | Lucy is not wise. | neutral | (((~kind(fred)<~>creative(fred)))<=>((quiet(alice)&~humble(alice))))&
(((wise(susan)<~>~generous(susan)))<=>(?[X]:((~brave(X)<~>rich(X)))))&
(((~calm(alice)&~curious(alice)))<=>(?[X]:((happy(X)<~>strong(X)))))&
(![X]:((tall(X)|~tall(X))=>(kind(X)&humble(X))))&
((?[X]:(generous(X)))=>((brave(john)&curious(john))))&
(![X... | ~wise(lucy) | [] | null | 0 |
If someone is either humble or not old then lucy is both wise and not tall. If someone is generous or old then someone is generous. If mary is not calm then susan is either rich or funny. Everyone who is strong is both calm and quiet. Everyone who is not patient or not strong is not happy or happy. If paul is both pati... | Paul is not quiet. | contradiction | ((?[X]:((humble(X)<~>~old(X))))=>((wise(lucy)&~tall(lucy))))&
((?[X]:((generous(X)|old(X))))=>(?[X]:(generous(X))))&
((~calm(mary))=>((rich(susan)<~>funny(susan))))&
(![X]:(strong(X)=>(calm(X)&quiet(X))))&
(![X]:((~patient(X)|~strong(X))=>(~happy(X)|happy(X))))&
(((patient(paul)&old(paul)))<=>((~funny(paul)<~>quiet(pau... | ~quiet(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2899250561869314453281054
% SZS output start Proof for 2899250561869314453281054
24. quiet(paul) [input p23]
25. ~quiet(paul) [input hypothesis]
134. quiet(paul) [cnf transformation 24]
135. ~quiet(paul) [cnf transformation 25]
175. 10 <=> quiet(paul) [avatar definition]
310. 10 [avatar s... | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | John is not generous. | entailment | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | ~generous(john) | [
"p4",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8498790081031146237531095
% SZS output start Proof for 8498790081031146237531095
5. ! [X0] : ((~generous(X0) <~> rich(X0)) => (old(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : ... | 0 |
Everyone who is both not wise and not funny is not kind or calm and vice versa.
Everyone who is either not wise or not generous is humble and vice versa.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not br... | Fred is patient. | contradiction | (![X]:((~wise(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>humble(X)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~s... | patient(fred) | [
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 272413696175389931483652
% SZS output start Proof for 272413696175389931483652
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (generous(X0) & humble(X0))) [input ... | 0 |
Everyone who is both not strong and not funny is patient. If someone is not old or not humble then fred is both old and humble. Everyone who is happy or humble is not funny or not happy. Everyone who is either not rich or quiet is not generous or happy and vice versa. Everyone who is not humble or humble is not creativ... | Paul is not curious. | contradiction | (![X]:((~strong(X)&~funny(X))=>patient(X)))&
((?[X]:((~old(X)|~humble(X))))=>((old(fred)&humble(fred))))&
(![X]:((happy(X)|humble(X))=>(~funny(X)|~happy(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|happy(X))))&
(![X]:((~humble(X)|humble(X))<=>~creative(X)))&
(![X]:((generous(X)&~kind(X))<=>~patient(X)))&
(![X]:(... | ~curious(paul) | [
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7547234284894892577199550
% SZS output start Proof for 7547234284894892577199550
5. ! [X0] : ((humble(X0) | ~humble(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((~kind(X0) & generous(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (wise(X0) & creative(X0))) [... | 0 |
Everyone who is both not creative and creative is happy or generous. If alice is not brave or not tall then someone is both not generous and not creative and vice versa. If john is not humble or old then alice is not creative or wise and vice versa. If john is rich or not creative then susan is generous or funny. Every... | Alice is generous. | entailment | (![X]:((~creative(X)&creative(X))=>(happy(X)|generous(X))))&
(((~brave(alice)|~tall(alice)))<=>(?[X]:((~generous(X)&~creative(X)))))&
(((~humble(john)|old(john)))<=>((~creative(alice)|wise(alice))))&
(((rich(john)|~creative(john)))=>((generous(susan)|funny(susan))))&
(![X]:(~old(X)=>~curious(X)))&
((?[X]:((~funny(X)&~h... | generous(alice) | [
"p8",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7680427356529734218262777
% SZS output start Proof for 7680427356529734218262777
9. ! [X0] : (rich(X0) <=> (~humble(X0) | ~generous(X0))) [input p8]
13. ! [X0] : (rich(X0) <=> ~patient(X0)) [input p12]
14. ! [X0] : ((wise(X0) | strong(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p13]
1... | 0 |
If someone is not old then someone is either not old or not rich and vice versa.
Everyone who is either tall or brave is both not humble and humble and vice versa.
If mary is either humble or kind then someone is both humble and generous.
If someone is not funny then paul is either not calm or not tall.
If fred is eith... | Paul is not tall. | neutral | ((?[X]:(~old(X)))<=>(?[X]:((~old(X)<~>~rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~humble(X)&humble(X))))&
(((humble(mary)<~>kind(mary)))=>(?[X]:((humble(X)&generous(X)))))&
((?[X]:(~funny(X)))=>((~calm(paul)<~>~tall(paul))))&
(((brave(fred)<~>happy(fred)))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:(funny(X)<=>(~fun... | ~tall(paul) | [] | null | 0 |
If someone is both not humble and patient then paul is both not calm and humble and vice versa.
Everyone who is patient is old.
Everyone who is both tall and not strong is brave.
Everyone who is both not rich and not calm is old or quiet.
If lucy is either creative or tall then someone is not creative or not brave.
Eve... | Alice is humble. | neutral | ((?[X]:((~humble(X)&patient(X))))<=>((~calm(paul)&humble(paul))))&
(![X]:(patient(X)=>old(X)))&
(![X]:((tall(X)&~strong(X))=>brave(X)))&
(![X]:((~rich(X)&~calm(X))=>(old(X)|quiet(X))))&
(((creative(lucy)<~>tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~tall(X)|rich(X))<=>(humble(X)|old(X))))&
(![X]:(~patien... | humble(alice) | [] | null | 0 |
If someone is both generous and not calm then mary is either happy or not funny and vice versa.
Everyone who is either happy or not humble is both rich and not strong.
If someone is generous or not curious then someone is either old or generous.
Everyone who is funny is either not old or strong.
If fred is either not o... | Alice is kind. | contradiction | ((?[X]:((generous(X)&~calm(X))))<=>((happy(mary)<~>~funny(mary))))&
(![X]:((happy(X)<~>~humble(X))=>(rich(X)&~strong(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(funny(X)=>(~old(X)<~>strong(X))))&
(((~old(fred)<~>~creative(fred)))<=>((~old(lucy)&patient(lucy))))&
(![X]:((old(X)&~... | kind(alice) | [
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5267419124772649346238086
% SZS output start Proof for 5267419124772649346238086
9. ! [X0] : ((humble(X0) | curious(X0)) => (calm(X0) & ~humble(X0))) [input p8]
11. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (kind(X0) & ~humble(X0))) [input p10]
14. ! [X0] : (brave(X0) <=> humble(X0)) [inpu... | 0 |
If someone is either not kind or not generous then alice is either wise or not patient. If someone is funny then someone is not quiet or quiet. Everyone who is either not kind or rich is not happy and vice versa. Everyone who is not patient is not happy and vice versa. Everyone who is either wise or not tall is not gen... | John is rich. | contradiction | ((?[X]:((~kind(X)<~>~generous(X))))=>((wise(alice)<~>~patient(alice))))&
((?[X]:(funny(X)))=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((~kind(X)<~>rich(X))<=>~happy(X)))&
(![X]:(~patient(X)<=>~happy(X)))&
(![X]:((wise(X)<~>~tall(X))<=>~generous(X)))&
((?[X]:(~generous(X)))<=>((~curious(susan)&~strong(susan))))&
(![X]:((ta... | rich(john) | [
"p2",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6477693554660326260581706
% SZS output start Proof for 6477693554660326260581706
3. ! [X0] : ((~kind(X0) <~> rich(X0)) <=> ~happy(X0)) [input p2]
9. ! [X0] : ((kind(X0) | ~calm(X0)) => (happy(X0) & ~old(X0))) [input p8]
22. kind(john) [input p21]
25. rich(john) [input hypothesis]
31. ! [X... | 0 |
If fred is not creative then lucy is not curious. If someone is patient then someone is not generous or not brave and vice versa. If john is strong or not patient then john is either rich or not wise and vice versa. Everyone who is both not kind and funny is both funny and not kind and vice versa. If someone is happy t... | Lucy is not rich. | neutral | ((~creative(fred))=>(~curious(lucy)))&
((?[X]:(patient(X)))<=>(?[X]:((~generous(X)|~brave(X)))))&
(((strong(john)|~patient(john)))<=>((rich(john)<~>~wise(john))))&
(![X]:((~kind(X)&funny(X))<=>(funny(X)&~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:((funny(X)|~patient(X))<=>(wise(X)&~r... | ~rich(lucy) | [] | null | 0 |
If someone is quiet or creative then mary is not creative or not generous and vice versa.
Everyone who is either not strong or creative is wise.
Everyone who is not calm is both not funny and calm and vice versa.
If alice is wise or patient then someone is wise or not quiet.
If someone is not quiet then mary is both no... | Mary is not patient. | neutral | ((?[X]:((quiet(X)|creative(X))))<=>((~creative(mary)|~generous(mary))))&
(![X]:((~strong(X)<~>creative(X))=>wise(X)))&
(![X]:(~calm(X)<=>(~funny(X)&calm(X))))&
(((wise(alice)|patient(alice)))=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(~quiet(X)))=>((~wise(mary)&kind(mary))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((old(... | ~patient(mary) | [] | null | 0 |
Everyone who is kind is not generous.
Everyone who is both patient and not patient is either not generous or not creative and vice versa.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone wh... | Paul is not humble. | neutral | (![X]:(kind(X)=>~generous(X)))&
(![X]:((patient(X)&~patient(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:... | ~humble(paul) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is either not brave or kind ... | Alice is generous. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fre... | generous(alice) | [
"p0",
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2445321386826730055175598
% SZS output start Proof for 2445321386826730055175598
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
2. ~creative(alice) <=> ? [X0] : generous(X0) [input p1]
4. ? [X0] : (~patient(X0) <~> old(X0)) <=> ? [X0] : ~rich(X0) [input p3]
... | 0 |
Everyone who is not tall or not strong is either funny or not wise and vice versa.
If john is either humble or generous then someone is both not funny and brave and vice versa.
Everyone who is either brave or not quiet is both generous and not curious and vice versa.
Everyone who is happy is not happy or quiet.
Everyon... | John is funny. | neutral | (![X]:((~tall(X)|~strong(X))<=>(funny(X)<~>~wise(X))))&
(((humble(john)<~>generous(john)))<=>(?[X]:((~funny(X)&brave(X)))))&
(![X]:((brave(X)<~>~quiet(X))<=>(generous(X)&~curious(X))))&
(![X]:(happy(X)=>(~happy(X)|quiet(X))))&
(![X]:((happy(X)|wise(X))<=>(~patient(X)|kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)|~generous... | funny(john) | [] | null | 0 |
Everyone who is either tall or not curious is both not kind and curious and vice versa.
Everyone who is both tall and not rich is both creative and curious.
Everyone who is kind is brave and vice versa.
If someone is funny or generous then mary is tall or not patient.
If someone is either humble or tall then alice is q... | Mary is not humble. | entailment | (![X]:((tall(X)<~>~curious(X))<=>(~kind(X)&curious(X))))&
(![X]:((tall(X)&~rich(X))=>(creative(X)&curious(X))))&
(![X]:(kind(X)<=>brave(X)))&
((?[X]:((funny(X)|generous(X))))=>((tall(mary)|~patient(mary))))&
((?[X]:((humble(X)<~>tall(X))))<=>(quiet(alice)))&
(((~old(alice)&rich(alice)))=>(?[X]:((patient(X)&~quiet(X))))... | ~humble(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 77318722955339149045275
% SZS output start Proof for 77318722955339149045275
1. ! [X0] : ((tall(X0) <~> ~curious(X0)) <=> (curious(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((~rich(X0) & tall(X0)) => (curious(X0) & creative(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> brave(X0)) [input p2]
7... | 0 |
Everyone who is creative or quiet is brave and vice versa.
If someone is curious or not strong then alice is both not curious and curious.
Everyone who is either not wise or strong is patient.
If someone is humble or not curious then susan is both not patient and not kind and vice versa.
If someone is both not quiet an... | Paul is curious. | contradiction | (![X]:((creative(X)|quiet(X))<=>brave(X)))&
((?[X]:((curious(X)|~strong(X))))=>((~curious(alice)&curious(alice))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
((?[X]:((~quiet(X)&~generous(X))))<=>((~curious(fred)|~kind(fred))))&
((brave(alice))=>(... | curious(paul) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2195021711521588286705465
% SZS output start Proof for 2195021711521588286705465
2. ? [X0] : (~strong(X0) | curious(X0)) => (curious(alice) & ~curious(alice)) [input p1]
24. ~curious(alice) [input p23]
25. curious(paul) [input hypothesis]
29. (curious(alice) & ~curious(alice)) | ! [X0] : ... | 0 |
If mary is not brave then susan is funny or not calm and vice versa.
Everyone who is not happy or brave is either wise or not creative.
Everyone who is either not creative or strong is funny and vice versa.
If someone is not generous or not strong then someone is either not rich or humble.
Everyone who is not wise or n... | Susan is kind. | entailment | ((~brave(mary))<=>((funny(susan)|~calm(susan))))&
(![X]:((~happy(X)|brave(X))=>(wise(X)<~>~creative(X))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(X)|~strong(X))))=>(?[X]:((~rich(X)<~>humble(X)))))&
(![X]:((~wise(X)|~tall(X))=>(~curious(X)&~creative(X))))&
(![X]:((wise(X)&~creative(X))<=>(~pa... | kind(susan) | [
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1604941416758345942827408
% SZS output start Proof for 1604941416758345942827408
7. ? [X0] : (tall(X0) <~> ~quiet(X0)) <=> creative(susan) [input p6]
8. ! [X0] : ((creative(X0) | ~patient(X0)) <=> ~quiet(X0)) [input p7]
9. ! [X0] : ((tall(X0) | ~kind(X0)) => quiet(X0)) [input p8]
12. ! [X... | 0 |
If john is rich then someone is both tall and not tall.
If fred is not humble then someone is not creative or not funny.
If someone is either not strong or happy then susan is both tall and calm.
If someone is either not brave or not humble then lucy is not humble.
Everyone who is not curious is either not curious or s... | Lucy is not calm. | contradiction | ((rich(john))=>(?[X]:((tall(X)&~tall(X)))))&
((~humble(fred))=>(?[X]:((~creative(X)|~funny(X)))))&
((?[X]:((~strong(X)<~>happy(X))))=>((tall(susan)&calm(susan))))&
((?[X]:((~brave(X)<~>~humble(X))))=>(~humble(lucy)))&
(![X]:(~curious(X)=>(~curious(X)<~>strong(X))))&
(![X]:((~happy(X)<~>~wise(X))=>humble(X)))&
(![X]:((c... | ~calm(lucy) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1764953915889155245960215
% SZS output start Proof for 1764953915889155245960215
15. ! [X0] : ((~funny(X0) | quiet(X0)) <=> calm(X0)) [input p14]
16. ! [X0] : (~funny(X0) <=> (~patient(X0) | ~calm(X0))) [input p15]
23. ~calm(lucy) [input hypothesis]
52. ! [X0] : (((~funny(X0) | quiet(X0))... | 0 |
Everyone who is calm or not strong is curious and vice versa. Everyone who is not rich is funny. Everyone who is either not old or calm is humble. Everyone who is either not brave or kind is both wise and not wise. Everyone who is patient or creative is not happy and vice versa. Everyone who is both happy and rich is n... | Paul is rich. | entailment | (![X]:((calm(X)|~strong(X))<=>curious(X)))&
(![X]:(~rich(X)=>funny(X)))&
(![X]:((~old(X)<~>calm(X))=>humble(X)))&
(![X]:((~brave(X)<~>kind(X))=>(wise(X)&~wise(X))))&
(![X]:((patient(X)|creative(X))<=>~happy(X)))&
(![X]:((happy(X)&rich(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~strong(X)|~brave(X))<=>(~kind(X)&tall(X))))&
(!... | rich(paul) | [
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3648323452760656262291907
% SZS output start Proof for 3648323452760656262291907
4. ! [X0] : ((~brave(X0) <~> kind(X0)) => (~wise(X0) & wise(X0))) [input p3]
6. ! [X0] : ((rich(X0) & happy(X0)) <=> (~tall(X0) | ~wise(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (tall(X0) &... | 0 |
Everyone who is not strong is either not kind or not funny and vice versa. If fred is either kind or patient then fred is both not creative and not calm. Everyone who is not funny or not quiet is brave or not rich and vice versa. Everyone who is both funny and quiet is either not curious or old. Everyone who is not old... | John is calm. | entailment | (![X]:(~strong(X)<=>(~kind(X)<~>~funny(X))))&
(((kind(fred)<~>patient(fred)))=>((~creative(fred)&~calm(fred))))&
(![X]:((~funny(X)|~quiet(X))<=>(brave(X)|~rich(X))))&
(![X]:((funny(X)&quiet(X))=>(~curious(X)<~>old(X))))&
(![X]:((~old(X)|~rich(X))=>(~curious(X)&~rich(X))))&
((~calm(susan))<=>((~kind(susan)&~curious(susa... | calm(john) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8048272297927171004989292
% SZS output start Proof for 8048272297927171004989292
22. calm(john) [input p21]
25. ~calm(john) [input hypothesis]
126. calm(john) [cnf transformation 22]
131. ~calm(john) [cnf transformation 25]
273. $false [subsumption resolution 131,126]
% SZS output end Pro... | 0 |
If john is both brave and tall then someone is strong and vice versa. Everyone who is calm or not happy is not strong and vice versa. Everyone who is tall or happy is humble or curious and vice versa. Everyone who is not humble is not curious and vice versa. Everyone who is not strong or strong is calm or wise. If some... | Lucy is not happy. | entailment | (((brave(john)&tall(john)))<=>(?[X]:(strong(X))))&
(![X]:((calm(X)|~happy(X))<=>~strong(X)))&
(![X]:((tall(X)|happy(X))<=>(humble(X)|curious(X))))&
(![X]:(~humble(X)<=>~curious(X)))&
(![X]:((~strong(X)|strong(X))=>(calm(X)|wise(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((wise(X)|calm(X)))))&
(((old(susan)&~tall(susan)... | ~happy(lucy) | [
"p2",
"p3",
"p10",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4226996612400630451711056
% SZS output start Proof for 4226996612400630451711056
3. ! [X0] : ((happy(X0) | tall(X0)) <=> (curious(X0) | humble(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> ~curious(X0)) [input p3]
11. ? [X0] : happy(X0) => (curious(susan) | tall(susan)) [input p10]
15. ! ... | 0 |
Everyone who is happy or not patient is either not funny or creative and vice versa. Everyone who is not creative or not happy is wise and vice versa. Everyone who is generous or not creative is both calm and quiet and vice versa. Everyone who is either kind or creative is not brave or calm and vice versa. Everyone who... | Mary is funny. | entailment | (![X]:((happy(X)|~patient(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((~creative(X)|~happy(X))<=>wise(X)))&
(![X]:((generous(X)|~creative(X))<=>(calm(X)&quiet(X))))&
(![X]:((kind(X)<~>creative(X))<=>(~brave(X)|calm(X))))&
(![X]:(humble(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((old(X)<~>strong(X))=>(~rich(X)&~happy(X))))&
... | funny(mary) | [
"p1",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4971347201143876721909180
% SZS output start Proof for 4971347201143876721909180
2. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> wise(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~happy(X0) <~> wise(X0))) [input p6]
11. ! [X0] : (~funny(X0) => (~calm(X0) & tall(X0))) [input p10... | 0 |
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