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 mary is not brave then alice is both creative and patient. If fred is both not wise and happy then john is both funny and not strong and vice versa. If susan is either tall or rich then lucy is strong or tall. If mary is not old then someone is curious or humble. Everyone who is either old or not happy is both not p... | Susan is not patient. | neutral | ((~brave(mary))=>((creative(alice)&patient(alice))))&
(((~wise(fred)&happy(fred)))<=>((funny(john)&~strong(john))))&
(((tall(susan)<~>rich(susan)))=>((strong(lucy)|tall(lucy))))&
((~old(mary))=>(?[X]:((curious(X)|humble(X)))))&
(![X]:((old(X)<~>~happy(X))<=>(~patient(X)&~happy(X))))&
((?[X]:((tall(X)<~>~curious(X))))<=... | ~patient(susan) | [] | null | 0 |
If susan is not kind then someone is either not humble or not rich.
If someone is quiet then someone is both patient and generous and vice versa.
Everyone who is either curious or not old is both quiet and funny.
If john is not tall then susan is either not happy or old and vice versa.
Everyone who is either not humble... | Alice is not funny. | contradiction | ((~kind(susan))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((curious(X)<~>~old(X))=>(quiet(X)&funny(X))))&
((~tall(john))<=>((~happy(susan)<~>old(susan))))&
(![X]:((~humble(X)<~>~wise(X))=>(strong(X)|~generous(X))))&
(![X]:(brave(X)<=>(~calm(X)|~happy(X))))&
(![X]... | ~funny(alice) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1435297009458816986620421
% SZS output start Proof for 1435297009458816986620421
10. ! [X0] : (~creative(X0) <=> (generous(X0) & ~old(X0))) [input p9]
14. ! [X0] : ((old(X0) & creative(X0)) <=> (~funny(X0) & ~old(X0))) [input p13]
24. ~funny(alice) [input hypothesis]
49. ! [X0] : ((~creat... | 0 |
Everyone who is not wise is not rich or humble.
Everyone who is not generous is both not tall and not quiet and vice versa.
Everyone who is not patient or not creative is not curious and vice versa.
Everyone who is humble or not brave is kind and vice versa.
If someone is strong then someone is both wise and not wise.
... | Fred is not generous. | neutral | (![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(![X]:(~generous(X)<=>(~tall(X)&~quiet(X))))&
(![X]:((~patient(X)|~creative(X))<=>~curious(X)))&
(![X]:((humble(X)|~brave(X))<=>kind(X)))&
((?[X]:(strong(X)))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~creative(X)&funny(X))<=>strong(X)))&
((calm(fred))=>((~generous(lucy)<~>generous... | ~generous(fred) | [] | null | 0 |
If someone is either kind or old then someone is either old or creative. Everyone who is not rich is not generous. If someone is not wise then paul is both kind and happy and vice versa. If john is both tall and quiet then paul is not brave or calm. Everyone who is both not calm and not patient is strong or not curious... | John is funny. | neutral | ((?[X]:((kind(X)<~>old(X))))=>(?[X]:((old(X)<~>creative(X)))))&
(![X]:(~rich(X)=>~generous(X)))&
((?[X]:(~wise(X)))<=>((kind(paul)&happy(paul))))&
(((tall(john)&quiet(john)))=>((~brave(paul)|calm(paul))))&
(![X]:((~calm(X)&~patient(X))<=>(strong(X)|~curious(X))))&
(((~calm(paul)&calm(paul)))<=>((~old(susan)|creative(su... | funny(john) | [] | null | 0 |
If alice is either rich or happy then someone is not brave and vice versa. Everyone who is not tall or strong is not calm or old. If someone is both not curious and funny then john is both not rich and not funny. Everyone who is either old or not creative is either not kind or calm. If someone is old or not creative th... | John is not generous. | entailment | (((rich(alice)<~>happy(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~tall(X)|strong(X))=>(~calm(X)|old(X))))&
((?[X]:((~curious(X)&funny(X))))=>((~rich(john)&~funny(john))))&
(![X]:((old(X)<~>~creative(X))=>(~kind(X)<~>calm(X))))&
((?[X]:((old(X)|~creative(X))))<=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~... | ~generous(john) | [
"p0",
"p9",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2918083649863406448335187
% SZS output start Proof for 2918083649863406448335187
1. (rich(alice) <~> happy(alice)) <=> ? [X0] : ~brave(X0) [input p0]
10. ! [X0] : ((~patient(X0) <~> ~brave(X0)) <=> ~strong(X0)) [input p9]
12. ! [X0] : ((~happy(X0) | ~rich(X0)) => funny(X0)) [input p11]
13... | 0 |
Everyone who is tall or not rich is quiet or not brave. Everyone who is not quiet is not happy. If paul is not curious then someone is creative or not generous. If someone is either not wise or not curious then susan is quiet or kind. Everyone who is happy is not curious. If susan is humble then someone is not generous... | John is kind. | neutral | (![X]:((tall(X)|~rich(X))=>(quiet(X)|~brave(X))))&
(![X]:(~quiet(X)=>~happy(X)))&
((~curious(paul))=>(?[X]:((creative(X)|~generous(X)))))&
((?[X]:((~wise(X)<~>~curious(X))))=>((quiet(susan)|kind(susan))))&
(![X]:(happy(X)=>~curious(X)))&
((humble(susan))<=>(?[X]:(~generous(X))))&
(![X]:(~wise(X)=>(~kind(X)<~>generous(X... | kind(john) | [] | null | 0 |
If someone is either creative or not quiet then someone is either calm or strong. Everyone who is both not brave and brave is either tall or not generous. Everyone who is brave or not wise is not generous. If alice is not patient or not calm then someone is either creative or not strong. Everyone who is both not genero... | Susan is kind. | contradiction | ((?[X]:((creative(X)<~>~quiet(X))))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((~brave(X)&brave(X))=>(tall(X)<~>~generous(X))))&
(![X]:((brave(X)|~wise(X))=>~generous(X)))&
(((~patient(alice)|~calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((~generous(X)&~kind(X))<=>(rich(X)&quiet(X))))&
(![X]:(~brave(X)=>old... | kind(susan) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8945870744008952223501603
% SZS output start Proof for 8945870744008952223501603
3. ! [X0] : ((~wise(X0) | brave(X0)) => ~generous(X0)) [input p2]
5. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (quiet(X0) & rich(X0))) [input p4]
6. ! [X0] : (~brave(X0) => old(X0)) [input p5]
7. ! [X0] : ((~... | 0 |
If someone is not quiet then someone is quiet or rich and vice versa.
Everyone who is not funny or generous is either not happy or quiet and vice versa.
Everyone who is creative is either humble or not wise and vice versa.
If someone is both curious and strong then lucy is not generous or tall.
If someone is not quiet ... | Fred is strong. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:((quiet(X)|rich(X)))))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)<~>quiet(X))))&
(![X]:(creative(X)<=>(humble(X)<~>~wise(X))))&
((?[X]:((curious(X)&strong(X))))=>((~generous(lucy)|tall(lucy))))&
((?[X]:((~quiet(X)|curious(X))))=>((~funny(lucy)|~rich(lucy))))&
(![X]:((happy(X)<~>~strong(X))... | strong(fred) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2922571995641232950331825
% SZS output start Proof for 2922571995641232950331825
16. ! [X0] : (strong(X0) => humble(X0)) [input p15]
20. ~humble(fred) [input p19]
25. strong(fred) [input hypothesis]
39. ! [X0] : (humble(X0) | ~strong(X0)) [ennf transformation 16]
116. ~strong(X0) | humble... | 0 |
If someone is either generous or not curious then fred is both kind and not old.
If someone is either quiet or rich then fred is either not old or not generous.
Everyone who is both generous and patient is both kind and not creative.
Everyone who is old or patient is both humble and quiet and vice versa.
Everyone who i... | Susan is not quiet. | entailment | ((?[X]:((generous(X)<~>~curious(X))))=>((kind(fred)&~old(fred))))&
((?[X]:((quiet(X)<~>rich(X))))=>((~old(fred)<~>~generous(fred))))&
(![X]:((generous(X)&patient(X))=>(kind(X)&~creative(X))))&
(![X]:((old(X)|patient(X))<=>(humble(X)&quiet(X))))&
(![X]:(~patient(X)=>(~funny(X)|~curious(X))))&
(![X]:((~calm(X)<~>kind(X))... | ~quiet(susan) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3825591441105136175534538
% SZS output start Proof for 3825591441105136175534538
1. ? [X0] : (generous(X0) <~> ~curious(X0)) => (~old(fred) & kind(fred)) [input p0]
4. ! [X0] : ((patient(X0) | old(X0)) <=> (quiet(X0) & humble(X0))) [input p3]
5. ! [X0] : (~patient(X0) => (~curious(X0) | ~... | 0 |
If someone is not funny then someone is not creative or not brave and vice versa. Everyone who is generous is calm or strong and vice versa. If lucy is not tall then someone is not brave or kind. Everyone who is tall or not brave is not kind or not humble and vice versa. Everyone who is not humble is not quiet or not s... | Mary is not brave. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(generous(X)<=>(calm(X)|strong(X))))&
((~tall(lucy))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((tall(X)|~brave(X))<=>(~kind(X)|~humble(X))))&
(![X]:(~humble(X)<=>(~quiet(X)|~strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>((quiet(john)<~>patient(john))))&
((... | ~brave(mary) | [
"p1",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7499985468205437154205734
% SZS output start Proof for 7499985468205437154205734
2. ! [X0] : (generous(X0) <=> (strong(X0) | calm(X0))) [input p1]
10. ! [X0] : ((~happy(X0) | ~brave(X0)) => old(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> curious(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p... | 0 |
If mary is both not old and patient then lucy is either not tall or rich.
Everyone who is both happy and calm is either not creative or not tall and vice versa.
Everyone who is quiet is either old or tall.
Everyone who is both not tall and not calm is generous and vice versa.
Everyone who is not calm is tall or wise an... | Mary is not generous. | entailment | (((~old(mary)&patient(mary)))=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((happy(X)&calm(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:(quiet(X)=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|humble... | ~generous(mary) | [
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4271719970974300923579385
% SZS output start Proof for 4271719970974300923579385
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
7. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) <~> ~quie... | 0 |
If someone is funny or patient then someone is not calm.
Everyone who is not tall is not kind or not brave and vice versa.
Everyone who is not generous or tall is either not generous or brave and vice versa.
Everyone who is either old or rich is both wise and not brave and vice versa.
Everyone who is not calm or not ha... | Alice is not curious. | neutral | ((?[X]:((funny(X)|patient(X))))=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~brave(X))))&
(![X]:((~generous(X)|tall(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((old(X)<~>rich(X))<=>(wise(X)&~brave(X))))&
(![X]:((~calm(X)|~happy(X))=>(~patient(X)&~kind(X))))&
(![X]:((rich(X)|~curious(X))=>rich(X)))&
(![X]:((quiet(X)<... | ~curious(alice) | [] | null | 0 |
If paul is not rich then someone is not brave or not calm.
Everyone who is either not kind or not quiet is not old or wise.
Everyone who is either not happy or rich is either not old or not generous and vice versa.
If alice is either tall or not funny then someone is humble.
Everyone who is either not patient or brave ... | Mary is happy. | entailment | ((~rich(paul))=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~old(X)<~>~generous(X))))&
(((tall(alice)<~>~funny(alice)))=>(?[X]:(humble(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~brave(X)&quiet(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>(?[X]:((~old(X)... | happy(mary) | [
"p6",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6402299586420693692199108
% SZS output start Proof for 6402299586420693692199108
7. ! [X0] : (~kind(X0) <=> (creative(X0) & patient(X0))) [input p6]
9. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> patient(X0)) [input p8]
11. ! [X0] : ((~happy(X0) <~> kind(X0)) <=> (~generous(X0) | strong... | 0 |
Everyone who is either calm or quiet is either not curious or not brave.
Everyone who is creative or not kind is patient or not rich and vice versa.
If paul is both not wise and brave then john is humble or not creative and vice versa.
Everyone who is happy or not strong is not wise and vice versa.
If someone is either... | Paul is strong. | entailment | (![X]:((calm(X)<~>quiet(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((creative(X)|~kind(X))<=>(patient(X)|~rich(X))))&
(((~wise(paul)&brave(paul)))<=>((humble(john)|~creative(john))))&
(![X]:((happy(X)|~strong(X))<=>~wise(X)))&
((?[X]:((~patient(X)<~>humble(X))))=>(?[X]:((~calm(X)<~>humble(X)))))&
((?[X]:((~strong(X)&curio... | strong(paul) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 437958256464754383675520
% SZS output start Proof for 437958256464754383675520
4. ! [X0] : ((~strong(X0) | happy(X0)) <=> ~wise(X0)) [input p3]
6. ? [X0] : (curious(X0) & ~strong(X0)) <=> (~curious(fred) & ~kind(fred)) [input p5]
7. ! [X0] : ((~creative(X0) <~> rich(X0)) <=> (~creative(X0... | 0 |
Everyone who is not strong is either patient or not brave. Everyone who is not calm is strong. Everyone who is both not creative and not rich is both funny and not wise. Everyone who is both not calm and not humble is both brave and old and vice versa. Everyone who is both not creative and not rich is either patient or... | Susan is funny. | neutral | (![X]:(~strong(X)=>(patient(X)<~>~brave(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~creative(X)&~rich(X))=>(funny(X)&~wise(X))))&
(![X]:((~calm(X)&~humble(X))<=>(brave(X)&old(X))))&
(![X]:((~creative(X)&~rich(X))<=>(patient(X)<~>humble(X))))&
(![X]:(old(X)<=>quiet(X)))&
(![X]:((~creative(X)<~>calm(X))<=>(tall(X)&~wis... | funny(susan) | [] | null | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If paul is either old or quiet then someone is either no... | Alice is brave. | contradiction | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
(((old(paul)<~>quiet(paul)))=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((old(X)|patient(X))=>... | brave(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1268247141425735076768503
% SZS output start Proof for 1268247141425735076768503
10. ! [X0] : ((strong(X0) | brave(X0)) <=> ~brave(X0)) [input p9]
24. brave(alice) [input hypothesis]
52. ! [X0] : (((strong(X0) | brave(X0)) | brave(X0)) & (~brave(X0) | (~strong(X0) & ~brave(X0)))) [nnf tra... | 0 |
Everyone who is both happy and brave is either not calm or not rich. Everyone who is either not funny or not patient is not quiet and vice versa. If someone is not creative or not kind then someone is either not wise or creative. Everyone who is kind or not rich is not generous or curious and vice versa. Everyone who i... | Mary is not generous. | neutral | (![X]:((happy(X)&brave(X))=>(~calm(X)<~>~rich(X))))&
(![X]:((~funny(X)<~>~patient(X))<=>~quiet(X)))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:((~wise(X)<~>creative(X)))))&
(![X]:((kind(X)|~rich(X))<=>(~generous(X)|curious(X))))&
(![X]:((kind(X)|~generous(X))<=>(~curious(X)|~humble(X))))&
(![X]:((~generous(X)&rich(X))<=... | ~generous(mary) | [] | null | 0 |
If someone is not quiet then someone is both not calm and not tall.
If someone is not wise then fred is curious.
If someone is not patient then someone is both strong and not rich.
If someone is brave then fred is wise and vice versa.
If alice is humble or not tall then someone is not tall or happy and vice versa.
If s... | Alice is not calm. | contradiction | ((?[X]:(~quiet(X)))=>(?[X]:((~calm(X)&~tall(X)))))&
((?[X]:(~wise(X)))=>(curious(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((strong(X)&~rich(X)))))&
((?[X]:(brave(X)))<=>(wise(fred)))&
(((humble(alice)|~tall(alice)))<=>(?[X]:((~tall(X)|happy(X)))))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(wise(X)... | ~calm(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7007176829853063609245586
% SZS output start Proof for 7007176829853063609245586
12. ! [X0] : ((~wise(X0) | ~calm(X0)) => (brave(X0) & ~brave(X0))) [input p11]
25. ~calm(alice) [input hypothesis]
38. ! [X0] : ((brave(X0) & ~brave(X0)) | (wise(X0) & calm(X0))) [ennf transformation 12]
114.... | 0 |
If someone is not strong or not creative then john is both not creative and not tall and vice versa.
Everyone who is not humble is not quiet or patient.
If someone is not brave then someone is both calm and strong and vice versa.
If someone is generous or patient then someone is wise or not quiet.
Everyone who is not b... | Fred is not patient. | contradiction | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&~tall(john))))&
(![X]:(~humble(X)=>(~quiet(X)|patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((calm(X)&strong(X)))))&
((?[X]:((generous(X)|patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)&~funny(X))))&
((~brave(fred))<=>(?[X]:((~wise(X)&~qui... | ~patient(fred) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4081837777448781591640870
% SZS output start Proof for 4081837777448781591640870
5. ! [X0] : (~brave(X0) <=> (~funny(X0) & strong(X0))) [input p4]
12. ! [X0] : ((~creative(X0) | ~wise(X0)) => (funny(X0) & ~brave(X0))) [input p11]
14. ! [X0] : (~patient(X0) => (~old(X0) & ~creative(X0))) [... | 0 |
Everyone who is both strong and not rich is not calm or not brave.
If mary is not generous then someone is both kind and brave and vice versa.
Everyone who is tall is creative or kind.
Everyone who is both not happy and brave is either brave or curious and vice versa.
If john is either rich or not tall then mary is eit... | Lucy is happy. | neutral | (![X]:((strong(X)&~rich(X))=>(~calm(X)|~brave(X))))&
((~generous(mary))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(tall(X)=>(creative(X)|kind(X))))&
(![X]:((~happy(X)&brave(X))<=>(brave(X)<~>curious(X))))&
(((rich(john)<~>~tall(john)))=>((generous(mary)<~>creative(mary))))&
((rich(paul))<=>(?[X]:((~tall(X)&wise(X)))))&
(![... | happy(lucy) | [] | null | 0 |
Everyone who is not strong is calm and vice versa. Everyone who is calm or curious is both funny and not creative. If john is both tall and not quiet then someone is funny. If mary is curious or funny then someone is both rich and not quiet and vice versa. Everyone who is both calm and not humble is either old or not f... | John is rich. | neutral | (![X]:(~strong(X)<=>calm(X)))&
(![X]:((calm(X)|curious(X))=>(funny(X)&~creative(X))))&
(((tall(john)&~quiet(john)))=>(?[X]:(funny(X))))&
(((curious(mary)|funny(mary)))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((calm(X)&~humble(X))<=>(old(X)<~>~funny(X))))&
(![X]:(~funny(X)=>old(X)))&
((calm(john))<=>((~humble(lucy)<~>~qu... | rich(john) | [] | null | 0 |
Everyone who is both wise and not creative is patient and vice versa.
If someone is not old then susan is calm or curious and vice versa.
If someone is old then lucy is both not calm and not generous.
Everyone who is either kind or generous is not creative or not calm and vice versa.
Everyone who is either not quiet or... | Fred is kind. | neutral | (![X]:((wise(X)&~creative(X))<=>patient(X)))&
((?[X]:(~old(X)))<=>((calm(susan)|curious(susan))))&
((?[X]:(old(X)))=>((~calm(lucy)&~generous(lucy))))&
(![X]:((kind(X)<~>generous(X))<=>(~creative(X)|~calm(X))))&
(![X]:((~quiet(X)<~>old(X))=>~wise(X)))&
(![X]:(~creative(X)<=>(~kind(X)<~>~generous(X))))&
((?[X]:(~strong(X... | kind(fred) | [] | null | 0 |
Everyone who is wise or calm is both not rich and not strong. If fred is not quiet then paul is calm or not quiet. Everyone who is both patient and not tall is brave or rich. Everyone who is either not happy or humble is generous or old and vice versa. Everyone who is not creative or patient is both happy and not tall.... | Alice is patient. | neutral | (![X]:((wise(X)|calm(X))=>(~rich(X)&~strong(X))))&
((~quiet(fred))=>((calm(paul)|~quiet(paul))))&
(![X]:((patient(X)&~tall(X))=>(brave(X)|rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(generous(X)|old(X))))&
(![X]:((~creative(X)|patient(X))=>(happy(X)&~tall(X))))&
((~quiet(fred))=>((~humble(fred)<~>~rich(fred))))&
((?[X... | patient(alice) | [] | null | 0 |
If someone is both not patient and humble then someone is funny or quiet.
If someone is tall then alice is quiet or brave and vice versa.
If someone is not creative or rich then fred is both generous and rich.
If john is either not generous or not rich then alice is kind and vice versa.
Everyone who is not wise or rich... | John is tall. | neutral | ((?[X]:((~patient(X)&humble(X))))=>(?[X]:((funny(X)|quiet(X)))))&
((?[X]:(tall(X)))<=>((quiet(alice)|brave(alice))))&
((?[X]:((~creative(X)|rich(X))))=>((generous(fred)&rich(fred))))&
(((~generous(john)<~>~rich(john)))<=>(kind(alice)))&
(![X]:((~wise(X)|rich(X))=>(humble(X)|~calm(X))))&
((?[X]:((humble(X)<~>quiet(X))))... | tall(john) | [] | null | 0 |
Everyone who is either strong or curious is either not rich or not happy.
Everyone who is either not strong or not quiet is either not wise or not tall and vice versa.
If paul is either not quiet or brave then mary is patient and vice versa.
Everyone who is not rich is humble or kind and vice versa.
Everyone who is not... | Lucy is quiet. | neutral | (![X]:((strong(X)<~>curious(X))=>(~rich(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(~wise(X)<~>~tall(X))))&
(((~quiet(paul)<~>brave(paul)))<=>(patient(mary)))&
(![X]:(~rich(X)<=>(humble(X)|kind(X))))&
(![X]:(~kind(X)=>(~calm(X)<~>funny(X))))&
(![X]:((rich(X)<~>generous(X))=>(tall(X)|~humble(X))))&
((?[X]:((ta... | quiet(lucy) | [] | null | 0 |
If fred is not happy or rich then john is tall.
Everyone who is brave or patient is not funny or not old and vice versa.
Everyone who is not funny is not rich or not generous and vice versa.
If susan is not rich then someone is patient.
Everyone who is either happy or not brave is patient and vice versa.
Everyone who i... | Susan is not rich. | contradiction | (((~happy(fred)|rich(fred)))=>(tall(john)))&
(![X]:((brave(X)|patient(X))<=>(~funny(X)|~old(X))))&
(![X]:(~funny(X)<=>(~rich(X)|~generous(X))))&
((~rich(susan))=>(?[X]:(patient(X))))&
(![X]:((happy(X)<~>~brave(X))<=>patient(X)))&
(![X]:((~tall(X)<~>old(X))=>(~quiet(X)&creative(X))))&
((?[X]:((~generous(X)|~brave(X))))<... | ~rich(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2348998793694395795421558
% SZS output start Proof for 2348998793694395795421558
18. rich(susan) & generous(susan) [input p17]
24. ~rich(susan) [input hypothesis]
120. rich(susan) [cnf transformation 18]
127. ~rich(susan) [cnf transformation 24]
146. 4 <=> rich(susan) [avatar definition]
... | 0 |
Everyone who is either not humble or curious is both wise and not humble.
If someone is generous then mary is not old and vice versa.
If someone is creative then paul is not brave and vice versa.
Everyone who is both not funny and not strong is either quiet or not quiet and vice versa.
Everyone who is happy is not gene... | Mary is creative. | entailment | (![X]:((~humble(X)<~>curious(X))=>(wise(X)&~humble(X))))&
((?[X]:(generous(X)))<=>(~old(mary)))&
((?[X]:(creative(X)))<=>(~brave(paul)))&
(![X]:((~funny(X)&~strong(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((calm(X)|~quiet(X))<=>(creative(X)&brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>... | creative(mary) | [
"p5",
"p7",
"p8",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 238477605137895085160766
% SZS output start Proof for 238477605137895085160766
6. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (brave(X0) & creative(X0))) [input p5]
8. ! [X0] : ((~curious(X0) <~> ~quiet(X0)) <=> old(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (~creative(X0) <... | 0 |
If someone is kind or not quiet then fred is not patient or generous and vice versa. If someone is both not old and funny then paul is not happy. If susan is both patient and generous then someone is not patient or tall. If fred is both not old and quiet then someone is either tall or not strong. If lucy is either gene... | Alice is not quiet. | entailment | ((?[X]:((kind(X)|~quiet(X))))<=>((~patient(fred)|generous(fred))))&
((?[X]:((~old(X)&funny(X))))=>(~happy(paul)))&
(((patient(susan)&generous(susan)))=>(?[X]:((~patient(X)|tall(X)))))&
(((~old(fred)&quiet(fred)))=>(?[X]:((tall(X)<~>~strong(X)))))&
(((generous(lucy)<~>~tall(lucy)))=>((wise(alice)|happy(alice))))&
(((kin... | ~quiet(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4216077231870382898547891
% SZS output start Proof for 4216077231870382898547891
17. calm(alice) & ~quiet(alice) [input p16]
25. quiet(alice) [input hypothesis]
140. ~quiet(alice) [cnf transformation 17]
155. quiet(alice) [cnf transformation 25]
385. $false [subsumption resolution 155,140... | 0 |
If paul is rich or not generous then paul is not quiet. Everyone who is either patient or rich is not curious or quiet. Everyone who is both old and calm is happy or not old. Everyone who is both brave and happy is either not brave or generous. Everyone who is both not curious and not old is curious and vice versa. Eve... | Mary is generous. | neutral | (((rich(paul)|~generous(paul)))=>(~quiet(paul)))&
(![X]:((patient(X)<~>rich(X))=>(~curious(X)|quiet(X))))&
(![X]:((old(X)&calm(X))=>(happy(X)|~old(X))))&
(![X]:((brave(X)&happy(X))=>(~brave(X)<~>generous(X))))&
(![X]:((~curious(X)&~old(X))<=>curious(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
(![X]:(patient(X)=>(~stron... | generous(mary) | [] | null | 0 |
If mary is either not kind or humble then john is wise.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is both not strong and not happy is calm or creative.
If susan is either not funny or kind then someone is both not strong and kind and vice versa.
Everyone who is either old or fun... | Susan is not strong. | contradiction | (((~kind(mary)<~>humble(mary)))=>(wise(john)))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~happy(X))=>(calm(X)|creative(X))))&
(((~funny(susan)<~>kind(susan)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((old(X)<~>funny(X))<=>calm(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:(~patient(X)=>quiet(X))... | ~strong(susan) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4373330854175750156434804
% SZS output start Proof for 4373330854175750156434804
2. ! [X0] : (~curious(X0) <=> (curious(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((old(X0) <~> funny(X0)) <=> calm(X0)) [input p4]
6. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~patient(X0)... | 0 |
Everyone who is either quiet or not patient is calm or not generous and vice versa.
Everyone who is not funny is either not old or not kind and vice versa.
If fred is not kind or not happy then someone is not calm and vice versa.
Everyone who is either old or rich is not brave or not kind and vice versa.
If someone is ... | Fred is patient. | neutral | (![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~generous(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>~kind(X))))&
(((~kind(fred)|~happy(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((old(X)<~>rich(X))<=>(~brave(X)|~kind(X))))&
((?[X]:(~tall(X)))=>(~strong(paul)))&
(![X]:(~brave(X)<=>(curious(X)|~strong(X))))&
(![X]:((~humble(X)&~strong(X)... | patient(fred) | [] | null | 0 |
If someone is both not patient and brave then susan is kind or wise and vice versa.
If paul is either funny or brave then mary is not calm or tall.
Everyone who is not humble is both wise and strong.
If susan is both curious and happy then someone is patient or creative.
If paul is brave or tall then someone is calm an... | Fred is funny. | neutral | ((?[X]:((~patient(X)&brave(X))))<=>((kind(susan)|wise(susan))))&
(((funny(paul)<~>brave(paul)))=>((~calm(mary)|tall(mary))))&
(![X]:(~humble(X)=>(wise(X)&strong(X))))&
(((curious(susan)&happy(susan)))=>(?[X]:((patient(X)|creative(X)))))&
(((brave(paul)|tall(paul)))<=>(?[X]:(calm(X))))&
(![X]:(~tall(X)=>(strong(X)<~>old... | funny(fred) | [] | null | 0 |
Everyone who is both quiet and wise is not happy and vice versa.
Everyone who is brave or generous is not wise or kind and vice versa.
Everyone who is patient is not curious or strong.
Everyone who is either not funny or creative is either kind or not kind and vice versa.
If mary is old then someone is both not wise an... | Paul is happy. | entailment | (![X]:((quiet(X)&wise(X))<=>~happy(X)))&
(![X]:((brave(X)|generous(X))<=>(~wise(X)|kind(X))))&
(![X]:(patient(X)=>(~curious(X)|strong(X))))&
(![X]:((~funny(X)<~>creative(X))<=>(kind(X)<~>~kind(X))))&
((old(mary))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:((~tall(X)&calm(X))=>(generous(X)&~calm(X))))&
(![X]:((happy(X)<~>kin... | happy(paul) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3022266495384614930374545
% SZS output start Proof for 3022266495384614930374545
1. ! [X0] : ((wise(X0) & quiet(X0)) <=> ~happy(X0)) [input p0]
2. ! [X0] : ((generous(X0) | brave(X0)) <=> (kind(X0) | ~wise(X0))) [input p1]
6. ! [X0] : ((calm(X0) & ~tall(X0)) => (~calm(X0) & generous(X0)))... | 0 |
Everyone who is both not quiet and not kind is not wise.
Everyone who is not quiet or not humble is either not old or quiet.
Everyone who is either not rich or old is brave and vice versa.
Everyone who is either funny or creative is either not happy or not generous.
If someone is not funny or curious then lucy is eithe... | Susan is not happy. | neutral | (![X]:((~quiet(X)&~kind(X))=>~wise(X)))&
(![X]:((~quiet(X)|~humble(X))=>(~old(X)<~>quiet(X))))&
(![X]:((~rich(X)<~>old(X))<=>brave(X)))&
(![X]:((funny(X)<~>creative(X))=>(~happy(X)<~>~generous(X))))&
((?[X]:((~funny(X)|curious(X))))=>((creative(lucy)<~>patient(lucy))))&
(![X]:((tall(X)<~>quiet(X))=>(~tall(X)&quiet(X)))... | ~happy(susan) | [] | null | 0 |
If mary is both rich and not brave then mary is generous.
Everyone who is calm or happy is both not rich and not wise.
Everyone who is not humble is calm and vice versa.
If someone is patient then someone is creative.
If someone is both generous and not creative then lucy is not old.
Everyone who is not tall or brave i... | John is not tall. | neutral | (((rich(mary)&~brave(mary)))=>(generous(mary)))&
(![X]:((calm(X)|happy(X))=>(~rich(X)&~wise(X))))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:(patient(X)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)&~creative(X))))=>(~old(lucy)))&
(![X]:((~tall(X)|brave(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~strong(X)|calm(X))=>(humble(... | ~tall(john) | [] | null | 0 |
If someone is either generous or patient then someone is either not tall or tall.
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 tall and vice versa.
Everyone who is either old or... | Fred is brave. | neutral | ((?[X]:((generous(X)<~>patient(X))))=>(?[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(susan))<=>((funny(john)<~>~brave(john)... | brave(fred) | [] | null | 0 |
If mary is both quiet and not old then fred is both not strong and rich and vice versa. Everyone who is not old is either not humble or kind. If someone is old or not patient then mary is creative or not wise and vice versa. If paul is either not brave or happy then lucy is not wise or not creative. Everyone who is str... | Mary is not funny. | entailment | (((quiet(mary)&~old(mary)))<=>((~strong(fred)&rich(fred))))&
(![X]:(~old(X)=>(~humble(X)<~>kind(X))))&
((?[X]:((old(X)|~patient(X))))<=>((creative(mary)|~wise(mary))))&
(((~brave(paul)<~>happy(paul)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:((curious(X)<~>old(X))))=>((generous(susan)|~wi... | ~funny(mary) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 117463567295077962648069
% SZS output start Proof for 117463567295077962648069
10. ! [X0] : ((quiet(X0) | calm(X0)) <=> (~funny(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> strong(X0)) [input p12]
24. funny(mary) [input hypothesis]
55. ! [X0] : (((quiet(X0... | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Fred is rich. | entailment | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | rich(fred) | [
"p0",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3041211881211056699955941
% SZS output start Proof for 3041211881211056699955941
1. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (humble(X0) <~> creative(X0))) [input p0]
7. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> ~patient(X0)) [input p6]
8. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise(X0... | 0 |
Everyone who is funny or not rich is both not generous and not brave.
If someone is calm or not happy then susan is not generous or not happy.
Everyone who is both tall and humble is either not quiet or not humble.
Everyone who is both wise and happy is brave and vice versa.
If someone is both kind and not creative the... | Alice is old. | neutral | (![X]:((funny(X)|~rich(X))=>(~generous(X)&~brave(X))))&
((?[X]:((calm(X)|~happy(X))))=>((~generous(susan)|~happy(susan))))&
(![X]:((tall(X)&humble(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:((wise(X)&happy(X))<=>brave(X)))&
((?[X]:((kind(X)&~creative(X))))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((tall(X)<~>~quiet(X))<=>(h... | old(alice) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is both rich and strong then susan is either not funny or old. If mary is either not strong or not tall then someone is either not calm or not strong and vice versa. Everyone who is strong is either not old or humble. Everyone who is not creativ... | Paul is generous. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((rich(susan)&strong(susan)))=>((~funny(susan)<~>old(susan))))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))... | generous(paul) | [
"p4",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 451626878605745970476082
% SZS output start Proof for 451626878605745970476082
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
9. (tall(paul) | ~generous(paul)) <=> (~q... | 0 |
Everyone who is either not curious or generous is wise and vice versa.
Everyone who is either not wise or not strong is not creative or rich.
Everyone who is generous or not calm is either patient or not humble and vice versa.
If lucy is either not happy or calm then someone is either curious or not curious and vice ve... | Fred is curious. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>wise(X)))&
(![X]:((~wise(X)<~>~strong(X))=>(~creative(X)|rich(X))))&
(![X]:((generous(X)|~calm(X))<=>(patient(X)<~>~humble(X))))&
(((~happy(lucy)<~>calm(lucy)))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((happy(alice))<=>(?[X]:((wise(X)|~happy(X)))))&
((~creative(susan))<=>(?[X]:((~ca... | curious(fred) | [
"p0",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 707976571777149949246935
% SZS output start Proof for 707976571777149949246935
1. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> wise(X0)) [input p0]
11. ? [X0] : (rich(X0) | old(X0)) => (~calm(fred) & generous(fred)) [input p10]
13. ! [X0] : ((~rich(X0) | curious(X0)) => wise(X0)) [input ... | 0 |
Everyone who is not happy or quiet is both not kind and not brave and vice versa.
If someone is both not quiet and not patient then someone is happy and vice versa.
If someone is patient then mary is either patient or creative.
If someone is both not humble and generous then someone is humble or strong and vice versa.
... | Alice is quiet. | neutral | (![X]:((~happy(X)|quiet(X))<=>(~kind(X)&~brave(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(?[X]:(happy(X))))&
((?[X]:(patient(X)))=>((patient(mary)<~>creative(mary))))&
((?[X]:((~humble(X)&generous(X))))<=>(?[X]:((humble(X)|strong(X)))))&
(![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:((humble(X)|patient(X))<=>(wise(X)&... | quiet(alice) | [] | null | 0 |
If someone is either brave or old then paul is both old and not patient.
Everyone who is quiet is both not calm and old and vice versa.
Everyone who is both kind and not happy is brave and vice versa.
Everyone who is either happy or not humble is not funny or rich and vice versa.
Everyone who is not patient is happy an... | Alice is not quiet. | entailment | ((?[X]:((brave(X)<~>old(X))))=>((old(paul)&~patient(paul))))&
(![X]:(quiet(X)<=>(~calm(X)&old(X))))&
(![X]:((kind(X)&~happy(X))<=>brave(X)))&
(![X]:((happy(X)<~>~humble(X))<=>(~funny(X)|rich(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((old(X)|wise(X))<=>tall(X)))&
(![X]:((~kind(X)|~generous(X))=>brave(X)))&
(![X]:((... | ~quiet(alice) | [
"p1",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4961182151360554873764497
% SZS output start Proof for 4961182151360554873764497
2. ! [X0] : (quiet(X0) <=> (old(X0) & ~calm(X0))) [input p1]
14. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> old(X0)) [input p13]
19. ~calm(alice) & curious(alice) [input p18]
24. quiet(alice) [input hypothesis]... | 0 |
If someone is not old or creative then someone is either not rich or not humble.
Everyone who is not old or not brave is both not brave and not old.
If john is both calm and not strong then someone is both not humble and quiet.
Everyone who is either not kind or funny is not quiet or not old.
Everyone who is patient or... | Fred is rich. | entailment | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~old(X)|~brave(X))=>(~brave(X)&~old(X))))&
(((calm(john)&~strong(john)))=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~kind(X)<~>funny(X))=>(~quiet(X)|~old(X))))&
(![X]:((patient(X)|funny(X))=>~strong(X)))&
(![X]:((old(X)<~>patient(X))=>(~rich(X)&... | rich(fred) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4461864971955645786795065
% SZS output start Proof for 4461864971955645786795065
11. ! [X0] : ((~rich(X0) | patient(X0)) <=> ~humble(X0)) [input p10]
23. quiet(fred) & humble(fred) [input p22]
25. ~rich(fred) [input hypothesis]
56. ! [X0] : (((~rich(X0) | patient(X0)) | humble(X0)) & (~hu... | 0 |
Everyone who is either not quiet or not old is not tall or funny and vice versa. If paul is not kind or not brave then paul is not wise and vice versa. If someone is not strong or wise then lucy is both not calm and creative. Everyone who is either creative or funny is either not rich or brave. Everyone who is not gene... | Paul is tall. | entailment | (![X]:((~quiet(X)<~>~old(X))<=>(~tall(X)|funny(X))))&
(((~kind(paul)|~brave(paul)))<=>(~wise(paul)))&
((?[X]:((~strong(X)|wise(X))))=>((~calm(lucy)&creative(lucy))))&
(![X]:((creative(X)<~>funny(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~generous(X)|old(X))<=>(strong(X)&kind(X))))&
((?[X]:((~curious(X)|~calm(X))))=>(?[X]:(... | tall(paul) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2424382700174292897285825
% SZS output start Proof for 2424382700174292897285825
3. ? [X0] : (wise(X0) | ~strong(X0)) => (creative(lucy) & ~calm(lucy)) [input p2]
5. ! [X0] : ((old(X0) | ~generous(X0)) <=> (kind(X0) & strong(X0))) [input p4]
7. ! [X0] : ((calm(X0) | creative(X0)) <=> (ric... | 0 |
If alice is not old then someone is either not quiet or not calm.
Everyone who is not creative or happy is brave or patient and vice versa.
If lucy is either not happy or quiet then lucy is either not wise or humble and vice versa.
Everyone who is tall is not brave.
If someone is not old or brave then someone is both n... | Fred is creative. | contradiction | ((~old(alice))=>(?[X]:((~quiet(X)<~>~calm(X)))))&
(![X]:((~creative(X)|happy(X))<=>(brave(X)|patient(X))))&
(((~happy(lucy)<~>quiet(lucy)))<=>((~wise(lucy)<~>humble(lucy))))&
(![X]:(tall(X)=>~brave(X)))&
((?[X]:((~old(X)|brave(X))))=>(?[X]:((~wise(X)&~tall(X)))))&
(((~strong(fred)&funny(fred)))=>(?[X]:((patient(X)<~>qu... | creative(fred) | [
"p3",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8269687542062895050546511
% SZS output start Proof for 8269687542062895050546511
4. ! [X0] : (tall(X0) => ~brave(X0)) [input p3]
9. ! [X0] : ((~creative(X0) & ~funny(X0)) <=> (~old(X0) | ~tall(X0))) [input p8]
11. ? [X0] : (~wise(X0) | ~creative(X0)) <=> ~creative(fred) [input p10]
12. ! ... | 0 |
If someone is either not patient or not happy then fred is not rich or not patient and vice versa.
Everyone who is not brave is both not quiet and not rich and vice versa.
Everyone who is both not tall and quiet is both not wise and not humble.
If someone is not brave then someone is either calm or humble.
Everyone who... | Fred is not curious. | entailment | ((?[X]:((~patient(X)<~>~happy(X))))<=>((~rich(fred)|~patient(fred))))&
(![X]:(~brave(X)<=>(~quiet(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))=>(~wise(X)&~humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:((~curious(X)|~creative(X))<=>(calm(X)|rich(X))))&
(((brave(mary)|generous(mary)))=>(?[X]:(ri... | ~curious(fred) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 811388225367950967622315
% SZS output start Proof for 811388225367950967622315
5. ! [X0] : ((~creative(X0) | ~curious(X0)) <=> (rich(X0) | calm(X0))) [input p4]
7. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p6]
12. ? [X0] : (~rich(X0) & humble(X0)) <=> ?... | 0 |
If paul is both strong and patient then john is both funny and patient.
Everyone who is not creative or not generous is calm and vice versa.
Everyone who is not funny is either not calm or generous.
Everyone who is not quiet or wise is either not quiet or patient.
If susan is old then someone is both not tall and stron... | Fred is patient. | contradiction | (((strong(paul)&patient(paul)))=>((funny(john)&patient(john))))&
(![X]:((~creative(X)|~generous(X))<=>calm(X)))&
(![X]:(~funny(X)=>(~calm(X)<~>generous(X))))&
(![X]:((~quiet(X)|wise(X))=>(~quiet(X)<~>patient(X))))&
((old(susan))<=>(?[X]:((~tall(X)&strong(X)))))&
((?[X]:((quiet(X)|~old(X))))=>(?[X]:((~wise(X)&wise(X))))... | patient(fred) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8148055587600573762710263
% SZS output start Proof for 8148055587600573762710263
4. ! [X0] : ((wise(X0) | ~quiet(X0)) => (~quiet(X0) <~> patient(X0))) [input p3]
6. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p5]
22. patient(fred) [input hypothesis]
23. ? [X0... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Susan is not calm. | contradiction | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | ~calm(susan) | [
"p0",
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4522460383446837303966652
% SZS output start Proof for 4522460383446837303966652
1. ! [X0] : ((quiet(X0) | wise(X0)) <=> (humble(X0) & ~tall(X0))) [input p0]
6. ! [X0] : ((calm(X0) <~> old(X0)) <=> (patient(X0) & ~patient(X0))) [input p5]
12. ! [X0] : (~old(X0) => (~wise(X0) & quiet(X0)))... | 0 |
If mary is calm then someone is not old or not brave and vice versa. Everyone who is not calm is either not curious or not humble and vice versa. If mary is not rich then someone is curious or not humble. Everyone who is both not rich and old is both wise and patient. Everyone who is not happy or old is both not calm a... | John is creative. | contradiction | ((calm(mary))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:(~calm(X)<=>(~curious(X)<~>~humble(X))))&
((~rich(mary))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((~rich(X)&old(X))=>(wise(X)&patient(X))))&
(![X]:((~happy(X)|old(X))<=>(~calm(X)&curious(X))))&
(![X]:((humble(X)<~>~generous(X))=>old(X)))&
((?[X]:((~calm(X)&~quiet(X... | creative(john) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4101962927155603716489856
% SZS output start Proof for 4101962927155603716489856
2. ! [X0] : (~calm(X0) <=> (~curious(X0) <~> ~humble(X0))) [input p1]
5. ! [X0] : ((old(X0) | ~happy(X0)) <=> (curious(X0) & ~calm(X0))) [input p4]
6. ! [X0] : ((humble(X0) <~> ~generous(X0)) => old(X0)) [inp... | 0 |
Everyone who is not generous is both old and not kind and vice versa.
Everyone who is both not tall and not funny is not funny or not wise.
If someone is strong then someone is humble or kind and vice versa.
If someone is happy then someone is either not happy or rich.
If someone is not calm then mary is not happy and ... | Susan is not curious. | neutral | (![X]:(~generous(X)<=>(old(X)&~kind(X))))&
(![X]:((~tall(X)&~funny(X))=>(~funny(X)|~wise(X))))&
((?[X]:(strong(X)))<=>(?[X]:((humble(X)|kind(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)<~>rich(X)))))&
((?[X]:(~calm(X)))<=>(~happy(mary)))&
((~strong(paul))<=>((old(susan)|creative(susan))))&
((?[X]:(~strong(X)))<=>(?[X]... | ~curious(susan) | [] | null | 0 |
If john is either curious or old then someone is curious or kind and vice versa.
Everyone who is not humble or creative is either not calm or humble.
Everyone who is both calm and funny is both humble and kind.
Everyone who is funny or not rich is not humble.
If someone is not creative or generous then someone is curio... | Paul is not humble. | contradiction | (((curious(john)<~>old(john)))<=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~humble(X)|creative(X))=>(~calm(X)<~>humble(X))))&
(![X]:((calm(X)&funny(X))=>(humble(X)&kind(X))))&
(![X]:((funny(X)|~rich(X))=>~humble(X)))&
((?[X]:((~creative(X)|generous(X))))<=>(?[X]:((curious(X)|rich(X)))))&
(![X]:((creative(X)&old(X))<=>cre... | ~humble(paul) | [
"p1",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5406137141890543464831288
% SZS output start Proof for 5406137141890543464831288
2. ! [X0] : ((creative(X0) | ~humble(X0)) => (~calm(X0) <~> humble(X0))) [input p1]
7. ! [X0] : ((~humble(X0) | ~calm(X0)) <=> (calm(X0) <~> ~wise(X0))) [input p6]
9. ! [X0] : ((~wise(X0) | ~brave(X0)) <=> ca... | 0 |
Everyone who is kind or calm is both not wise and not kind and vice versa. Everyone who is quiet is not humble or kind. Everyone who is either not brave or not strong is either tall or creative. Everyone who is both not tall and not humble is both not humble and generous. If lucy is kind then paul is either happy or cu... | Mary is brave. | contradiction | (![X]:((kind(X)|calm(X))<=>(~wise(X)&~kind(X))))&
(![X]:(quiet(X)=>(~humble(X)|kind(X))))&
(![X]:((~brave(X)<~>~strong(X))=>(tall(X)<~>creative(X))))&
(![X]:((~tall(X)&~humble(X))=>(~humble(X)&generous(X))))&
((kind(lucy))=>((happy(paul)<~>curious(paul))))&
((?[X]:((~humble(X)|brave(X))))<=>(?[X]:((wise(X)&calm(X)))))&... | brave(mary) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1094919620902781250414499
% SZS output start Proof for 1094919620902781250414499
1. ! [X0] : ((calm(X0) | kind(X0)) <=> (~kind(X0) & ~wise(X0))) [input p0]
6. ? [X0] : (brave(X0) | ~humble(X0)) <=> ? [X0] : (calm(X0) & wise(X0)) [input p5]
25. brave(mary) [input hypothesis]
26. ? [X0] : (... | 0 |
Everyone who is quiet or not curious is kind.
Everyone who is not old is not rich and vice versa.
If john is creative then paul is either not brave or not patient and vice versa.
Everyone who is both happy and not wise is not brave.
Everyone who is not generous is both curious and not curious and vice versa.
Everyone w... | Paul is not quiet. | entailment | (![X]:((quiet(X)|~curious(X))=>kind(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((creative(john))<=>((~brave(paul)<~>~patient(paul))))&
(![X]:((happy(X)&~wise(X))=>~brave(X)))&
(![X]:(~generous(X)<=>(curious(X)&~curious(X))))&
(![X]:(~strong(X)<=>(brave(X)|~tall(X))))&
(![X]:((rich(X)<~>old(X))<=>~wise(X)))&
(![X]:((calm(X)|~st... | ~quiet(paul) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 450325422202363824851792
% SZS output start Proof for 450325422202363824851792
1. ! [X0] : ((~curious(X0) | quiet(X0)) => kind(X0)) [input p0]
2. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) | brave(X0))) [input p5]
7. ! [X0] : ((rich(X0) <~> old(X0... | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | Alice is not curious. | contradiction | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | ~curious(alice) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5117691113730476309595990
% SZS output start Proof for 5117691113730476309595990
2. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (wise(X0) & ~calm(X0))) [input p1]
6. ! [X0] : (~tall(X0) => (~happy(X0) & ~calm(X0))) [input p5]
14. ! [X0] : (~calm(X0) <=> curious(X0)) [input p13]
21. ~curious(alic... | 0 |
Everyone who is both old and happy is both not happy and humble and vice versa.
If john is not wise or patient then john is not brave.
If alice is not wise then someone is patient or not generous.
If mary is both not funny and not brave then someone is not strong or not patient and vice versa.
Everyone who is rich is n... | Mary is generous. | neutral | (![X]:((old(X)&happy(X))<=>(~happy(X)&humble(X))))&
(((~wise(john)|patient(john)))=>(~brave(john)))&
((~wise(alice))=>(?[X]:((patient(X)|~generous(X)))))&
(((~funny(mary)&~brave(mary)))<=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:(rich(X)=>(~old(X)|~wise(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~calm(X)&old(X))))&
(![X]:(~... | generous(mary) | [] | null | 0 |
Everyone who is old is either not strong or rich. Everyone who is either not humble or not funny is not creative. If someone is either curious or not kind then lucy is not happy and vice versa. If someone is both funny and not tall then mary is humble and vice versa. If fred is quiet or not quiet then alice is both wis... | Mary is not humble. | neutral | (![X]:(old(X)=>(~strong(X)<~>rich(X))))&
(![X]:((~humble(X)<~>~funny(X))=>~creative(X)))&
((?[X]:((curious(X)<~>~kind(X))))<=>(~happy(lucy)))&
((?[X]:((funny(X)&~tall(X))))<=>(humble(mary)))&
(((quiet(fred)|~quiet(fred)))<=>((wise(alice)&~humble(alice))))&
(![X]:((funny(X)<~>strong(X))=>(humble(X)<~>happy(X))))&
(![X]:... | ~humble(mary) | [] | null | 0 |
Everyone who is not rich or not strong is not strong or curious and vice versa.
Everyone who is not calm is both not funny and patient and vice versa.
If lucy is old then mary is patient.
If alice is either not curious or tall then susan is both funny and not old and vice versa.
Everyone who is either kind or not curio... | Paul is not creative. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~strong(X)|curious(X))))&
(![X]:(~calm(X)<=>(~funny(X)&patient(X))))&
((old(lucy))=>(patient(mary)))&
(((~curious(alice)<~>tall(alice)))<=>((funny(susan)&~old(susan))))&
(![X]:((kind(X)<~>~curious(X))<=>(happy(X)|~humble(X))))&
(![X]:((~humble(X)&~calm(X))<=>(patient(X)<~>~creative(X))))... | ~creative(paul) | [
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7229504459245183101477922
% SZS output start Proof for 7229504459245183101477922
6. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (patient(X0) <~> ~creative(X0))) [input p5]
11. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) | strong(X0))) [input p10]
15. ! [X0] : (~calm(X0) => (~creati... | 0 |
If susan is either not happy or not tall then fred is not creative.
Everyone who is calm is both not happy and not rich.
If someone is brave then john is either patient or not old.
Everyone who is either tall or not strong is both generous and creative.
Everyone who is both not quiet and not curious is not quiet or hum... | Fred is humble. | contradiction | (((~happy(susan)<~>~tall(susan)))=>(~creative(fred)))&
(![X]:(calm(X)=>(~happy(X)&~rich(X))))&
((?[X]:(brave(X)))=>((patient(john)<~>~old(john))))&
(![X]:((tall(X)<~>~strong(X))=>(generous(X)&creative(X))))&
(![X]:((~quiet(X)&~curious(X))<=>(~quiet(X)|humble(X))))&
((?[X]:(wise(X)))<=>(?[X]:((brave(X)<~>kind(X)))))&
((... | humble(fred) | [
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5454331035274349716378646
% SZS output start Proof for 5454331035274349716378646
16. ! [X0] : ((~humble(X0) & patient(X0)) <=> (wise(X0) | funny(X0))) [input p15]
24. funny(fred) & ~happy(fred) [input p23]
25. humble(fred) [input hypothesis]
72. ! [X0] : (((~humble(X0) & patient(X0)) | (~... | 0 |
Everyone who is not humble or funny is not funny or creative and vice versa. Everyone who is funny is both not funny and funny. If mary is quiet or curious then susan is brave and vice versa. Everyone who is both funny and not wise is wise or not creative and vice versa. Everyone who is either not wise or strong is pat... | Lucy is not quiet. | neutral | (![X]:((~humble(X)|funny(X))<=>(~funny(X)|creative(X))))&
(![X]:(funny(X)=>(~funny(X)&funny(X))))&
(((quiet(mary)|curious(mary)))<=>(brave(susan)))&
(![X]:((funny(X)&~wise(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
... | ~quiet(lucy) | [] | null | 0 |
If someone is patient then paul is wise.
If someone is not patient or not funny then someone is both rich and not curious and vice versa.
If someone is brave then mary is wise or not happy and vice versa.
Everyone who is both humble and strong is both kind and curious.
Everyone who is both not calm and brave is either ... | Fred is not calm. | contradiction | ((?[X]:(patient(X)))=>(wise(paul)))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((rich(X)&~curious(X)))))&
((?[X]:(brave(X)))<=>((wise(mary)|~happy(mary))))&
(![X]:((humble(X)&strong(X))=>(kind(X)&curious(X))))&
(![X]:((~calm(X)&brave(X))=>(curious(X)<~>~strong(X))))&
(![X]:(brave(X)=>calm(X)))&
(((creative(fred)&~tall(... | ~calm(fred) | [
"p5",
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2732940961086307037946892
% SZS output start Proof for 2732940961086307037946892
6. ! [X0] : (brave(X0) => calm(X0)) [input p5]
8. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~calm(X0)) [input p7]
9. ! [X0] : ((wise(X0) | humble(X0)) => (patient(X0) & ~kind(X0))) [input p8]
11. ! [X0] : (~patie... | 0 |
If someone is both not wise and curious then someone is both creative and not generous. If susan is both not humble and not tall then lucy is either quiet or curious. Everyone who is both wise and not patient is not patient and vice versa. If someone is both not generous and funny then lucy is not wise. Everyone who is... | Mary is not patient. | entailment | ((?[X]:((~wise(X)&curious(X))))=>(?[X]:((creative(X)&~generous(X)))))&
(((~humble(susan)&~tall(susan)))=>((quiet(lucy)<~>curious(lucy))))&
(![X]:((wise(X)&~patient(X))<=>~patient(X)))&
((?[X]:((~generous(X)&funny(X))))=>(~wise(lucy)))&
(![X]:(strong(X)<=>tall(X)))&
((~happy(paul))<=>(brave(john)))&
(![X]:(creative(X)<=... | ~patient(mary) | [
"p4",
"p6",
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4545154863284426825439066
% SZS output start Proof for 4545154863284426825439066
5. ! [X0] : (strong(X0) <=> tall(X0)) [input p4]
7. ! [X0] : (creative(X0) <=> (~creative(X0) <~> kind(X0))) [input p6]
12. ! [X0] : ((kind(X0) | ~patient(X0)) <=> (~rich(X0) | strong(X0))) [input p11]
17. ta... | 0 |
If susan is both not happy and not curious then someone is either generous or happy.
If john is wise then someone is old or not wise and vice versa.
Everyone who is either calm or not creative is either wise or not kind.
Everyone who is either not kind or not wise is not happy and vice versa.
Everyone who is either wis... | Mary is not strong. | neutral | (((~happy(susan)&~curious(susan)))=>(?[X]:((generous(X)<~>happy(X)))))&
((wise(john))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(wise(X)<~>~kind(X))))&
(![X]:((~kind(X)<~>~wise(X))<=>~happy(X)))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>generous(X))))&
((curious(fred))=>(?[X]:(rich(X))))&
(((~strong(... | ~strong(mary) | [] | null | 0 |
If someone is both creative and not funny then alice is both calm and wise and vice versa.
If susan is either not humble or not kind then someone is both not funny and creative.
Everyone who is either not curious or humble is either not patient or old.
Everyone who is either humble or strong is either kind or not old.
... | Mary is strong. | neutral | ((?[X]:((creative(X)&~funny(X))))<=>((calm(alice)&wise(alice))))&
(((~humble(susan)<~>~kind(susan)))=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(~patient(X)<~>old(X))))&
(![X]:((humble(X)<~>strong(X))=>(kind(X)<~>~old(X))))&
((?[X]:((~wise(X)<~>~happy(X))))<=>((~tall(paul)<~>~rich(paul))))&
(... | strong(mary) | [] | null | 0 |
If someone is brave then someone is curious.
If someone is either rich or curious then someone is either rich or not curious.
If someone is not brave then someone is patient or rich.
Everyone who is humble or funny is both funny and generous and vice versa.
Everyone who is calm is curious.
If alice is rich then someone... | Fred is quiet. | neutral | ((?[X]:(brave(X)))=>(?[X]:(curious(X))))&
((?[X]:((rich(X)<~>curious(X))))=>(?[X]:((rich(X)<~>~curious(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((humble(X)|funny(X))<=>(funny(X)&generous(X))))&
(![X]:(calm(X)=>curious(X)))&
((rich(alice))<=>(?[X]:((quiet(X)<~>rich(X)))))&
((?[X]:((~generous(X)... | quiet(fred) | [] | null | 0 |
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Susan is not strong. | neutral | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | ~strong(susan) | [] | null | 0 |
If fred is both funny and not curious then someone is not kind or patient and vice versa.
Everyone who is happy is both happy and brave and vice versa.
Everyone who is either not rich or curious is either patient or old.
Everyone who is not rich is tall.
Everyone who is not curious is both tall and not kind and vice ve... | Susan is rich. | entailment | (((funny(fred)&~curious(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(happy(X)<=>(happy(X)&brave(X))))&
(![X]:((~rich(X)<~>curious(X))=>(patient(X)<~>old(X))))&
(![X]:(~rich(X)=>tall(X)))&
(![X]:(~curious(X)<=>(tall(X)&~kind(X))))&
(![X]:((old(X)|kind(X))=>kind(X)))&
(((funny(fred)&generous(fred)))<=>((wise(susan)&... | rich(susan) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4540480011021332467252568
% SZS output start Proof for 4540480011021332467252568
1. (~curious(fred) & funny(fred)) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p0]
4. ! [X0] : (~rich(X0) => tall(X0)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~kind(X0) & tall(X0))) [input p4]
8. kind(fred... | 0 |
Everyone who is both creative and brave is either wise or tall. If alice is strong then alice is quiet and vice versa. Everyone who is kind or happy is either kind or not happy. If someone is generous then someone is not rich or funny and vice versa. If someone is either calm or creative then someone is either not wise... | Mary is patient. | contradiction | (![X]:((creative(X)&brave(X))=>(wise(X)<~>tall(X))))&
((strong(alice))<=>(quiet(alice)))&
(![X]:((kind(X)|happy(X))=>(kind(X)<~>~happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~rich(X)|funny(X)))))&
((?[X]:((calm(X)<~>creative(X))))=>(?[X]:((~wise(X)<~>patient(X)))))&
((?[X]:((humble(X)<~>~calm(X))))=>(?[X]:((~rich(X)<~>... | patient(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6792352529303433005101317
% SZS output start Proof for 6792352529303433005101317
18. ~patient(mary) [input p17]
25. patient(mary) [input hypothesis]
139. ~patient(mary) [cnf transformation 18]
148. patient(mary) [cnf transformation 25]
348. $false [subsumption resolution 148,139]
% SZS ou... | 0 |
Everyone who is both not strong and not generous is not happy or not kind and vice versa.
If someone is either not calm or not generous then someone is rich or wise and vice versa.
Everyone who is either kind or humble is either not patient or not old and vice versa.
Everyone who is old is either humble or not generous... | Lucy is not old. | entailment | (![X]:((~strong(X)&~generous(X))<=>(~happy(X)|~kind(X))))&
((?[X]:((~calm(X)<~>~generous(X))))<=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((kind(X)<~>humble(X))<=>(~patient(X)<~>~old(X))))&
(![X]:(old(X)=>(humble(X)<~>~generous(X))))&
(![X]:((~calm(X)<~>kind(X))<=>~happy(X)))&
((?[X]:((~brave(X)&wise(X))))<=>((curious(alice)... | ~old(lucy) | [
"p0",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6043770488796780788162826
% SZS output start Proof for 6043770488796780788162826
1. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~kind(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> ~happy(X0)) [input p4]
10. ! [X0] : (old(X0) => (generous(X0) & calm(X0))) [input ... | 0 |
Everyone who is either curious or not generous is not funny or not curious and vice versa.
If someone is either not rich or rich then paul is either quiet or not rich.
Everyone who is not funny is not happy or quiet and vice versa.
Everyone who is either creative or not humble is generous.
Everyone who is wise is not k... | John is not happy. | neutral | (![X]:((curious(X)<~>~generous(X))<=>(~funny(X)|~curious(X))))&
((?[X]:((~rich(X)<~>rich(X))))=>((quiet(paul)<~>~rich(paul))))&
(![X]:(~funny(X)<=>(~happy(X)|quiet(X))))&
(![X]:((creative(X)<~>~humble(X))=>generous(X)))&
(![X]:(wise(X)=>~kind(X)))&
(![X]:((~brave(X)<~>~quiet(X))<=>kind(X)))&
(![X]:((curious(X)<~>patien... | ~happy(john) | [] | null | 0 |
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Fred is wise. | contradiction | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | wise(fred) | [
"p1",
"p2",
"p3",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 144727456096951009357804
% SZS output start Proof for 144727456096951009357804
2. ! [X0] : ((~strong(X0) & ~creative(X0)) => (creative(X0) & kind(X0))) [input p1]
3. ! [X0] : (happy(X0) => ~brave(X0)) [input p2]
4. ? [X0] : (strong(X0) <~> rich(X0)) <=> ? [X0] : (~curious(X0) & ~strong(X0... | 0 |
If someone is both happy and not calm then someone is either strong or not generous and vice versa.
If someone is either not funny or not humble then someone is both old and patient and vice versa.
Everyone who is both not wise and tall is patient.
Everyone who is not calm or not tall is both calm and creative.
Everyon... | John is not generous. | neutral | ((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:((~funny(X)<~>~humble(X))))<=>(?[X]:((old(X)&patient(X)))))&
(![X]:((~wise(X)&tall(X))=>patient(X)))&
(![X]:((~calm(X)|~tall(X))=>(calm(X)&creative(X))))&
(![X]:((rich(X)&~funny(X))<=>(wise(X)&~calm(X))))&
((?[X]:((happy(X)<~>calm(X))))<=>(?[X... | ~generous(john) | [] | null | 0 |
Everyone who is both not generous and not calm is both not brave and not happy.
Everyone who is not happy is both brave and not humble and vice versa.
Everyone who is not rich or humble is kind or generous and vice versa.
Everyone who is brave or not old is both not wise and curious.
If someone is not patient or not wi... | Paul is not calm. | contradiction | (![X]:((~generous(X)&~calm(X))=>(~brave(X)&~happy(X))))&
(![X]:(~happy(X)<=>(brave(X)&~humble(X))))&
(![X]:((~rich(X)|humble(X))<=>(kind(X)|generous(X))))&
(![X]:((brave(X)|~old(X))=>(~wise(X)&curious(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(wise(lucy)))&
(![X]:((~creative(X)&patient(X))=>(~humble(X)&happy(X))))&
((?... | ~calm(paul) | [
"p0",
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1588735447832530229310486
% SZS output start Proof for 1588735447832530229310486
1. ! [X0] : ((~calm(X0) & ~generous(X0)) => (~happy(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~humble(X0) & brave(X0))) [input p1]
19. ~kind(paul) & ~generous(paul) [input p18]
23. ~calm(paul... | 0 |
Everyone who is both patient and strong is both not funny and not rich and vice versa. If susan is both not wise and quiet then someone is happy or not kind. If susan is both not patient and curious then someone is not brave and vice versa. If susan is both not humble and not old then someone is kind and vice versa. Ev... | John is not rich. | contradiction | (![X]:((patient(X)&strong(X))<=>(~funny(X)&~rich(X))))&
(((~wise(susan)&quiet(susan)))=>(?[X]:((happy(X)|~kind(X)))))&
(((~patient(susan)&curious(susan)))<=>(?[X]:(~brave(X))))&
(((~humble(susan)&~old(susan)))<=>(?[X]:(kind(X))))&
(![X]:((~happy(X)|~kind(X))=>~brave(X)))&
(![X]:((wise(X)<~>~tall(X))=>(~strong(X)<~>quie... | ~rich(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1535196413765333876365253
% SZS output start Proof for 1535196413765333876365253
13. ! [X0] : ((~creative(X0) | ~rich(X0)) => (tall(X0) & ~tall(X0))) [input p12]
19. ~rich(john) [input hypothesis]
33. ! [X0] : ((tall(X0) & ~tall(X0)) | (creative(X0) & rich(X0))) [ennf transformation 13]
9... | 0 |
Everyone who is both not happy and wise is both strong and rich and vice versa.
Everyone who is not old is kind or not generous and vice versa.
If someone is old then alice is both not brave and funny and vice versa.
Everyone who is both funny and calm is either tall or not tall and vice versa.
If someone is kind or no... | Fred is tall. | neutral | (![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))&
((?[X]:(old(X)))<=>((~brave(alice)&funny(alice))))&
(![X]:((funny(X)&calm(X))<=>(tall(X)<~>~tall(X))))&
((?[X]:((kind(X)|~generous(X))))<=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((generous(X)|calm(X))<=>(~patient(X)|brave(... | tall(fred) | [] | null | 0 |
If susan is wise or not calm then someone is creative.
Everyone who is both not tall and not generous is not calm and vice versa.
If someone is old then someone is either not kind or strong.
If someone is creative then fred is patient.
Everyone who is either tall or creative is either calm or not funny and vice versa.
... | Alice is kind. | contradiction | (((wise(susan)|~calm(susan)))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~calm(X)))&
((?[X]:(old(X)))=>(?[X]:((~kind(X)<~>strong(X)))))&
((?[X]:(creative(X)))=>(patient(fred)))&
(![X]:((tall(X)<~>creative(X))<=>(calm(X)<~>~funny(X))))&
(![X]:(kind(X)=>(~quiet(X)<~>brave(X))))&
(![X]:(funny(X)=>generous(X)... | kind(alice) | [
"p3",
"p5",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 816157843387956924366086
% SZS output start Proof for 816157843387956924366086
4. ? [X0] : creative(X0) => patient(fred) [input p3]
6. ! [X0] : (kind(X0) => (~quiet(X0) <~> brave(X0))) [input p5]
10. (happy(alice) & creative(alice)) <=> ? [X0] : patient(X0) [input p9]
11. ! [X0] : (~brave... | 0 |
Everyone who is either not brave or creative is not humble. If someone is both not patient and patient then lucy is not patient and vice versa. Everyone who is old is both calm and not kind. Everyone who is not strong or wise is both happy and quiet. If someone is both not brave and not happy then someone is patient an... | John is old. | neutral | (![X]:((~brave(X)<~>creative(X))=>~humble(X)))&
((?[X]:((~patient(X)&patient(X))))<=>(~patient(lucy)))&
(![X]:(old(X)=>(calm(X)&~kind(X))))&
(![X]:((~strong(X)|wise(X))=>(happy(X)&quiet(X))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:(patient(X))))&
(![X]:((~funny(X)|strong(X))=>generous(X)))&
(![X]:(patient(X)=>~old(X)... | old(john) | [] | null | 0 |
If someone is either not humble or not patient then someone is calm and vice versa.
If someone is either not strong or not patient then paul is both generous and rich and vice versa.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is br... | Fred is not creative. | entailment | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | ~creative(fred) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 808990732968238034755575
% SZS output start Proof for 808990732968238034755575
1. ? [X0] : (~humble(X0) <~> ~patient(X0)) <=> ? [X0] : calm(X0) [input p0]
2. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> (rich(paul) & generous(paul)) [input p1]
5. ! [X0] : (brave(X0) <=> (~generous(X0) <~> ... | 0 |
If paul is either calm or generous then someone is both quiet and not wise.
If someone is both not patient and not wise then paul is quiet or wise and vice versa.
If alice is both not curious and old then susan is generous and vice versa.
If someone is either not strong or not creative then someone is both brave and ge... | Mary is creative. | entailment | (((calm(paul)<~>generous(paul)))=>(?[X]:((quiet(X)&~wise(X)))))&
((?[X]:((~patient(X)&~wise(X))))<=>((quiet(paul)|wise(paul))))&
(((~curious(alice)&old(alice)))<=>(generous(susan)))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((brave(X)&~curious(X))<=>(happy(X)|~wise(X))))&
((?[X]:(... | creative(mary) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7710159331751423093246821
% SZS output start Proof for 7710159331751423093246821
4. ? [X0] : (~strong(X0) <~> ~creative(X0)) <=> ? [X0] : (generous(X0) & brave(X0)) [input p3]
5. ! [X0] : ((~curious(X0) & brave(X0)) <=> (~wise(X0) | happy(X0))) [input p4]
9. ! [X0] : (~rich(X0) <=> curiou... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If lucy is either old or quiet then someone is not funny.
Everyone who is both not rich and not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative... | John is not strong. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=... | ~strong(john) | [] | null | 0 |
Everyone who is rich or generous is not humble. If someone is calm then susan is both not calm and calm and vice versa. Everyone who is not calm is either happy or tall. Everyone who is either quiet or not brave is either not patient or not quiet and vice versa. Everyone who is not old is rich and vice versa. Everyone ... | Lucy is rich. | contradiction | (![X]:((rich(X)|generous(X))=>~humble(X)))&
((?[X]:(calm(X)))<=>((~calm(susan)&calm(susan))))&
(![X]:(~calm(X)=>(happy(X)<~>tall(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~old(X)<=>rich(X)))&
(![X]:((~strong(X)&generous(X))=>old(X)))&
(((rich(lucy)|~creative(lucy)))=>((creative(susan)|~... | rich(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3631711776228493921947613
% SZS output start Proof for 3631711776228493921947613
1. ! [X0] : ((generous(X0) | rich(X0)) => ~humble(X0)) [input p0]
2. ? [X0] : calm(X0) <=> (calm(susan) & ~calm(susan)) [input p1]
3. ! [X0] : (~calm(X0) => (happy(X0) <~> tall(X0))) [input p2]
9. ! [X0] : ((... | 0 |
Everyone who is not brave is old.
If someone is either not funny or not curious then fred is either not kind or happy and vice versa.
If susan is both patient and creative then someone is tall or not generous and vice versa.
If fred is not creative or not happy then someone is either not quiet or not rich.
If mary is p... | Fred is not humble. | contradiction | (![X]:(~brave(X)=>old(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>((~kind(fred)<~>happy(fred))))&
(((patient(susan)&creative(susan)))<=>(?[X]:((tall(X)|~generous(X)))))&
(((~creative(fred)|~happy(fred)))=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(((patient(mary)|~kind(mary)))=>((~rich(susan)<~>~quiet(susan))))&
(![X]:((~tall(... | ~humble(fred) | [
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4902152595245948244648157
% SZS output start Proof for 4902152595245948244648157
7. ? [X0] : strong(X0) => (humble(fred) & old(fred)) [input p6]
14. ? [X0] : (~strong(X0) & generous(X0)) <=> (quiet(john) & strong(john)) [input p13]
17. ? [X0] : generous(X0) [input p16]
25. ~humble(fred) [... | 0 |
If someone is not kind then mary is kind or old and vice versa.
Everyone who is not old is both patient and not tall.
Everyone who is not happy is both wise and not funny.
Everyone who is brave is wise or patient and vice versa.
If someone is either humble or funny then someone is patient or not brave.
If susan is brav... | Paul is not generous. | neutral | ((?[X]:(~kind(X)))<=>((kind(mary)|old(mary))))&
(![X]:(~old(X)=>(patient(X)&~tall(X))))&
(![X]:(~happy(X)=>(wise(X)&~funny(X))))&
(![X]:(brave(X)<=>(wise(X)|patient(X))))&
((?[X]:((humble(X)<~>funny(X))))=>(?[X]:((patient(X)|~brave(X)))))&
(((brave(susan)|~rich(susan)))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((~strong(... | ~generous(paul) | [] | null | 0 |
Everyone who is not strong or not humble is both not happy and not rich. Everyone who is either not old or happy is not tall. Everyone who is not brave or not happy is old or not tall and vice versa. Everyone who is kind or generous is either creative or not strong and vice versa. Everyone who is both humble and not ge... | Lucy is rich. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~happy(X)&~rich(X))))&
(![X]:((~old(X)<~>happy(X))=>~tall(X)))&
(![X]:((~brave(X)|~happy(X))<=>(old(X)|~tall(X))))&
(![X]:((kind(X)|generous(X))<=>(creative(X)<~>~strong(X))))&
(![X]:((humble(X)&~generous(X))=>(~patient(X)&~humble(X))))&
(![X]:((patient(X)|~quiet(X))<=>~patient(X)))&
(!... | rich(lucy) | [
"p0",
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4366461282410757287601341
% SZS output start Proof for 4366461282410757287601341
1. ! [X0] : ((~humble(X0) | ~strong(X0)) => (~rich(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((~generous(X0) & humble(X0)) => (~humble(X0) & ~patient(X0))) [input p4]
15. ! [X0] : (~quiet(X0) <=> (rich(X0) | ... | 0 |
Everyone who is both not generous and kind is not strong and vice versa.
Everyone who is either old or happy is not creative.
If someone is wise then alice is both happy and calm and vice versa.
If fred is tall or not strong then someone is not rich and vice versa.
Everyone who is either not patient or patient is both ... | Mary is curious. | contradiction | (![X]:((~generous(X)&kind(X))<=>~strong(X)))&
(![X]:((old(X)<~>happy(X))=>~creative(X)))&
((?[X]:(wise(X)))<=>((happy(alice)&calm(alice))))&
(((tall(fred)|~strong(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((~patient(X)<~>patient(X))<=>(~quiet(X)&~generous(X))))&
(((~patient(alice)&tall(alice)))<=>((~quiet(fred)|~curious(fred... | curious(mary) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1527429594500420741102840
% SZS output start Proof for 1527429594500420741102840
15. ! [X0] : (~calm(X0) <=> (~curious(X0) & creative(X0))) [input p14]
20. ~calm(mary) & ~funny(mary) [input p19]
23. curious(mary) [input hypothesis]
62. ! [X0] : ((~calm(X0) | (curious(X0) | ~creative(X0)))... | 0 |
Everyone who is generous or not old is both generous and not brave. If john is not funny or not wise then mary is either not brave or not happy and vice versa. Everyone who is either wise or strong is both creative and not wise and vice versa. Everyone who is not brave is not creative or not patient and vice versa. If ... | Alice is calm. | neutral | (![X]:((generous(X)|~old(X))=>(generous(X)&~brave(X))))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~generous(X)<~>brave(X))))<=>((~humble(susan)<~>strong(susan))))&
(![X]:((~patient... | calm(alice) | [] | null | 0 |
If mary is either happy or not kind then someone is not calm or patient. If someone is quiet then john is kind. Everyone who is both strong and not calm is both not humble and old. Everyone who is not brave or patient is either happy or not rich and vice versa. Everyone who is kind is creative and vice versa. Everyone ... | Fred is not quiet. | entailment | (((happy(mary)<~>~kind(mary)))=>(?[X]:((~calm(X)|patient(X)))))&
((?[X]:(quiet(X)))=>(kind(john)))&
(![X]:((strong(X)&~calm(X))=>(~humble(X)&old(X))))&
(![X]:((~brave(X)|patient(X))<=>(happy(X)<~>~rich(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((happy(X)&~happy(X))<=>(creative(X)|rich(X))))&
(![X]:((~humble(X)&creat... | ~quiet(fred) | [
"p1",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 960849450003618605551005
% SZS output start Proof for 960849450003618605551005
2. ? [X0] : quiet(X0) => kind(john) [input p1]
6. ! [X0] : ((~happy(X0) & happy(X0)) <=> (rich(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & old(X0)) <=> (strong(X0) | ~creative(X0))) [input p7]
10... | 0 |
Everyone who is not strong or not funny is either not curious or kind.
Everyone who is not calm or kind is not quiet or not old.
Everyone who is not calm or quiet is either curious or quiet and vice versa.
If paul is both generous and not creative then someone is either not happy or not tall and vice versa.
Everyone wh... | Paul is old. | entailment | (![X]:((~strong(X)|~funny(X))=>(~curious(X)<~>kind(X))))&
(![X]:((~calm(X)|kind(X))=>(~quiet(X)|~old(X))))&
(![X]:((~calm(X)|quiet(X))<=>(curious(X)<~>quiet(X))))&
(((generous(paul)&~creative(paul)))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
(![X]:(old(X)<=>(~quiet(X)|~creative(X))))&
(![X]:(calm(X)<=>(~happy(X)<~>strong(X))... | old(paul) | [
"p4",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7108388890668559063346935
% SZS output start Proof for 7108388890668559063346935
5. ! [X0] : (old(X0) <=> (~creative(X0) | ~quiet(X0))) [input p4]
12. ? [X0] : (humble(X0) | ~kind(X0)) => (~funny(paul) & ~quiet(paul)) [input p11]
16. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (~rich(X0) <~>... | 0 |
Everyone who is both not generous and strong is not rich or not curious.
Everyone who is both brave and strong is both patient and brave and vice versa.
If someone is curious then mary is either humble or quiet and vice versa.
Everyone who is either not brave or not happy is either not patient or kind.
Everyone who is ... | Lucy is not curious. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&brave(X))))&
((?[X]:(curious(X)))<=>((humble(mary)<~>quiet(mary))))&
(![X]:((~brave(X)<~>~happy(X))=>(~patient(X)<~>kind(X))))&
(![X]:((old(X)|wise(X))=>(brave(X)|~rich(X))))&
((~strong(lucy))=>(?[X]:((~creative(X)&happ... | ~curious(lucy) | [] | null | 0 |
Everyone who is not kind or calm is both kind and not rich. Everyone who is wise or not curious is either not creative or strong. Everyone who is not strong is strong or funny and vice versa. Everyone who is both wise and not tall is both strong and not wise. Everyone who is patient is happy or funny and vice versa. If... | Lucy is not strong. | entailment | (![X]:((~kind(X)|calm(X))=>(kind(X)&~rich(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)<~>strong(X))))&
(![X]:(~strong(X)<=>(strong(X)|funny(X))))&
(![X]:((wise(X)&~tall(X))=>(strong(X)&~wise(X))))&
(![X]:(patient(X)<=>(happy(X)|funny(X))))&
((?[X]:((~happy(X)|~humble(X))))<=>(?[X]:((brave(X)&funny(X)))))&
(![X]:(... | ~strong(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6830839965149514857206438
% SZS output start Proof for 6830839965149514857206438
3. ! [X0] : (~strong(X0) <=> (funny(X0) | strong(X0))) [input p2]
21. strong(lucy) [input hypothesis]
34. ! [X0] : ((~strong(X0) | (~funny(X0) & ~strong(X0))) & ((funny(X0) | strong(X0)) | strong(X0))) [nnf t... | 0 |
If someone is both quiet and not funny then someone is both strong and not calm.
Everyone who is curious or not curious is either not generous or not creative and vice versa.
Everyone who is both wise and strong is either not funny or not tall.
Everyone who is happy or not creative is both not brave and tall.
If someon... | Lucy is not old. | contradiction | ((?[X]:((quiet(X)&~funny(X))))=>(?[X]:((strong(X)&~calm(X)))))&
(![X]:((curious(X)|~curious(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:((wise(X)&strong(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((happy(X)|~creative(X))=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X))... | ~old(lucy) | [
"p3",
"p6",
"p7",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2622842694316902260676046
% SZS output start Proof for 2622842694316902260676046
4. ! [X0] : ((~creative(X0) | happy(X0)) => (tall(X0) & ~brave(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & brave(X0)) <=> quiet(X0)) [input p6]
8. ! [X0] : ((old(X0) | kind(X0)) <=> (~quiet(X0) | brave(X0))) [... | 0 |
If someone is either rich or not old then susan is old or wise and vice versa. If john is both strong and not humble then susan is either not wise or not curious and vice versa. If mary is strong then alice is not humble and vice versa. If someone is not happy or strong then someone is not brave and vice versa. Everyon... | Lucy is tall. | entailment | ((?[X]:((rich(X)<~>~old(X))))<=>((old(susan)|wise(susan))))&
(((strong(john)&~humble(john)))<=>((~wise(susan)<~>~curious(susan))))&
((strong(mary))<=>(~humble(alice)))&
((?[X]:((~happy(X)|strong(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~kind(X)&rich(X))<=>generous(X)))&
(((~brave(paul)<~>~humble(paul)))=>((~rich(alice)&~ca... | tall(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 48665669444533206774592
% SZS output start Proof for 48665669444533206774592
8. ! [X0] : ((~kind(X0) | ~tall(X0)) => (tall(X0) & calm(X0))) [input p7]
25. ~tall(lucy) [input hypothesis]
32. ! [X0] : ((tall(X0) & calm(X0)) | (kind(X0) & tall(X0))) [ennf transformation 8]
110. tall(X0) | ta... | 0 |
Everyone who is both not strong and not brave is not strong or not happy. Everyone who is not strong or wise is brave or not old and vice versa. If lucy is both not old and not generous then alice is both kind and not brave and vice versa. Everyone who is old is either quiet or not kind and vice versa. Everyone who is ... | Alice is not patient. | contradiction | (![X]:((~strong(X)&~brave(X))=>(~strong(X)|~happy(X))))&
(![X]:((~strong(X)|wise(X))<=>(brave(X)|~old(X))))&
(((~old(lucy)&~generous(lucy)))<=>((kind(alice)&~brave(alice))))&
(![X]:(old(X)<=>(quiet(X)<~>~kind(X))))&
(![X]:((tall(X)<~>calm(X))<=>(~humble(X)|funny(X))))&
(![X]:((old(X)|~patient(X))=>(~quiet(X)&wise(X))))... | ~patient(alice) | [
"p3",
"p5",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 791271059570485343556953
% SZS output start Proof for 791271059570485343556953
4. ! [X0] : (old(X0) <=> (quiet(X0) <~> ~kind(X0))) [input p3]
6. ! [X0] : ((~patient(X0) | old(X0)) => (wise(X0) & ~quiet(X0))) [input p5]
12. ! [X0] : ((~generous(X0) | ~happy(X0)) => kind(X0)) [input p11]
13... | 0 |
Everyone who is both tall and generous is both humble and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vice versa. Everyone who is both not kind and not strong is either kind or not funny. Everyone who is not happy is brave. Everyone who is happy is not humble and vice versa... | Lucy is not patient. | neutral | (![X]:((tall(X)&generous(X))<=>(humble(X)&tall(X))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((brave(X)|rich(X))<=>(~patient(X)|happy(X))))&... | ~patient(lucy) | [] | null | 0 |
Everyone who is not funny or patient is either happy or kind.
If paul is both not kind and not strong then someone is generous or strong and vice versa.
Everyone who is rich or funny is either kind or not strong and vice versa.
If alice is either quiet or not brave then someone is both not wise and not patient and vice... | Mary is not curious. | contradiction | (![X]:((~funny(X)|patient(X))=>(happy(X)<~>kind(X))))&
(((~kind(paul)&~strong(paul)))<=>(?[X]:((generous(X)|strong(X)))))&
(![X]:((rich(X)|funny(X))<=>(kind(X)<~>~strong(X))))&
(((quiet(alice)<~>~brave(alice)))<=>(?[X]:((~wise(X)&~patient(X)))))&
(((quiet(paul)|patient(paul)))<=>(?[X]:((brave(X)|~old(X)))))&
(![X]:(~cr... | ~curious(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 498629211925113177980063
% SZS output start Proof for 498629211925113177980063
19. curious(mary) & ~patient(mary) [input p18]
24. ~curious(mary) [input hypothesis]
150. curious(mary) [cnf transformation 19]
158. ~curious(mary) [cnf transformation 24]
313. 32 <=> curious(mary) [avatar defi... | 0 |
Everyone who is both happy and not quiet is either quiet or not creative and vice versa.
If someone is either generous or not old then mary is not humble or curious.
Everyone who is rich or not quiet is kind or creative.
Everyone who is not curious or creative is wise.
If someone is both strong and not happy then someo... | Mary is brave. | contradiction | (![X]:((happy(X)&~quiet(X))<=>(quiet(X)<~>~creative(X))))&
((?[X]:((generous(X)<~>~old(X))))=>((~humble(mary)|curious(mary))))&
(![X]:((rich(X)|~quiet(X))=>(kind(X)|creative(X))))&
(![X]:((~curious(X)|creative(X))=>wise(X)))&
((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((quiet(X)<~>~humble(X)))))&
(((~curious(mary)<~>~wise... | brave(mary) | [
"p3",
"p6",
"p8",
"p9",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8818951027837718055499535
% SZS output start Proof for 8818951027837718055499535
4. ! [X0] : ((creative(X0) | ~curious(X0)) => wise(X0)) [input p3]
7. ! [X0] : (~patient(X0) <=> (tall(X0) <~> brave(X0))) [input p6]
9. ! [X0] : (calm(X0) => (kind(X0) & strong(X0))) [input p8]
10. ! [X0] : ... | 0 |
Everyone who is either not brave or wise is both not creative and not quiet.
If someone is both not old and quiet then someone is either funny or not happy and vice versa.
Everyone who is either brave or not funny is either not patient or quiet and vice versa.
Everyone who is both happy and kind is not old or not humbl... | Lucy is wise. | neutral | (![X]:((~brave(X)<~>wise(X))=>(~creative(X)&~quiet(X))))&
((?[X]:((~old(X)&quiet(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))&
(![X]:((brave(X)<~>~funny(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:((happy(X)&kind(X))<=>(~old(X)|~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~strong(X)|funny(X))))&
(![X]:(kind(X)=>~happy(X)))&... | wise(lucy) | [] | null | 0 |
Everyone who is generous or humble is not humble or not creative.
If susan is funny or not kind then someone is either not patient or wise.
If fred is both not strong and quiet then paul is not brave or funny and vice versa.
If fred is quiet or generous then someone is both not patient and kind and vice versa.
Everyone... | Lucy is not tall. | entailment | (![X]:((generous(X)|humble(X))=>(~humble(X)|~creative(X))))&
(((funny(susan)|~kind(susan)))=>(?[X]:((~patient(X)<~>wise(X)))))&
(((~strong(fred)&quiet(fred)))<=>((~brave(paul)|funny(paul))))&
(((quiet(fred)|generous(fred)))<=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:((~calm(X)&brave(X))=>(~patient(X)&~curious(X))))&
(![X... | ~tall(lucy) | [
"p0",
"p12",
"p14",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3974531919071744049468465
% SZS output start Proof for 3974531919071744049468465
1. ! [X0] : ((humble(X0) | generous(X0)) => (~creative(X0) | ~humble(X0))) [input p0]
13. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> ~tall(X0)) [input p12]
15. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~tall(X0))... | 0 |
If someone is happy then paul is not strong.
Everyone who is either not rich or funny is not tall and vice versa.
Everyone who is both not patient and rich is not generous or not curious and vice versa.
If someone is not strong then someone is generous or not strong and vice versa.
Everyone who is not tall or not curio... | Lucy is rich. | entailment | ((?[X]:(happy(X)))=>(~strong(paul)))&
(![X]:((~rich(X)<~>funny(X))<=>~tall(X)))&
(![X]:((~patient(X)&rich(X))<=>(~generous(X)|~curious(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)|~strong(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)|humble(X))))&
(((rich(paul)|~creative(paul)))<=>((~kind(lucy)<~>~patient(lucy... | rich(lucy) | [
"p1",
"p2",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2935114959074609503610982
% SZS output start Proof for 2935114959074609503610982
2. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> ~tall(X0)) [input p1]
3. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (~curious(X0) | ~generous(X0))) [input p2]
8. ! [X0] : (~funny(X0) <=> (~rich(X0) & ~generous(X0))) ... | 0 |
If mary is both not curious and happy then someone is not calm and vice versa.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old and not rich and vice versa.
If someone is either not rich or not humble then fred is e... | Mary is not wise. | contradiction | (((~curious(mary)&happy(mary)))<=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
((hum... | ~wise(mary) | [
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5966428207111184528401062
% SZS output start Proof for 5966428207111184528401062
8. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p7]
15. ! [X0] : (~wise(X0) <=> (kind(X0) & ~humble(X0))) [input p14]
18. kind(mary) <~> ~tall(mary) [input p17]
21. ~wise(mary) [input hypoth... | 0 |
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