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 paul is not strong or quiet then paul is both not strong and not quiet and vice versa.
If lucy is creative or happy then alice is both kind and not tall and vice versa.
If someone is both curious and not happy then mary is not kind and vice versa.
If someone is rich or not tall then lucy is either funny or not rich ... | Lucy is rich. | entailment | (((~strong(paul)|quiet(paul)))<=>((~strong(paul)&~quiet(paul))))&
(((creative(lucy)|happy(lucy)))<=>((kind(alice)&~tall(alice))))&
((?[X]:((curious(X)&~happy(X))))<=>(~kind(mary)))&
((?[X]:((rich(X)|~tall(X))))<=>((funny(lucy)<~>~rich(lucy))))&
(((~kind(alice)|~happy(alice)))=>(wise(paul)))&
(![X]:((~quiet(X)|~funny(X)... | rich(lucy) | [
"p3",
"p5",
"p12",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 254878046989019482693937
% SZS output start Proof for 254878046989019482693937
4. ? [X0] : (~tall(X0) | rich(X0)) <=> (funny(lucy) <~> ~rich(lucy)) [input p3]
6. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> strong(X0)) [input p5]
13. ! [X0] : (~old(X0) => funny(X0)) [input p12]
14. ! [X0] : ((... | 0 |
Everyone who is not strong is both not humble and not generous and vice versa. Everyone who is not quiet or not strong is not brave and vice versa. Everyone who is either curious or strong is either not quiet or not brave. If mary is both not calm and not quiet then someone is either happy or not happy and vice versa. ... | Paul is not humble. | entailment | (![X]:(~strong(X)<=>(~humble(X)&~generous(X))))&
(![X]:((~quiet(X)|~strong(X))<=>~brave(X)))&
(![X]:((curious(X)<~>strong(X))=>(~quiet(X)<~>~brave(X))))&
(((~calm(mary)&~quiet(mary)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
(((~creative(alice)|~strong(alice)))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(((~kind(susan)|~tall(susa... | ~humble(paul) | [
"p0",
"p1",
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1411942882626828185699428
% SZS output start Proof for 1411942882626828185699428
1. ! [X0] : (~strong(X0) <=> (~generous(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> strong(X0)) => (~quiet(X0) <~> ~brave(X0... | 0 |
If lucy is both happy and not calm then john is kind.
If someone is both not kind and not rich then someone is creative or happy and vice versa.
Everyone who is both humble and not humble is either not generous or calm.
If paul is both not wise and kind then someone is creative or tall and vice versa.
If someone is bot... | Fred is happy. | contradiction | (((happy(lucy)&~calm(lucy)))=>(kind(john)))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((humble(X)&~humble(X))=>(~generous(X)<~>calm(X))))&
(((~wise(paul)&kind(paul)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~humble(X)&~old(X))))=>((~funny(lucy)<~>~quiet(lucy))))&
((?[X]:((~generous(X)... | happy(fred) | [
"p1",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2418698298896335158976486
% SZS output start Proof for 2418698298896335158976486
2. ? [X0] : (~rich(X0) & ~kind(X0)) <=> ? [X0] : (happy(X0) | creative(X0)) [input p1]
15. ! [X0] : ((tall(X0) | ~kind(X0)) => rich(X0)) [input p14]
16. ! [X0] : ((kind(X0) & curious(X0)) <=> ~curious(X0)) [i... | 0 |
Everyone who is both not old and not brave is not strong and vice versa.
Everyone who is both generous and not kind is either tall or not creative and vice versa.
Everyone who is not brave or kind is not funny and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not calm is cu... | John is patient. | neutral | (![X]:((~old(X)&~brave(X))<=>~strong(X)))&
(![X]:((generous(X)&~kind(X))<=>(tall(X)<~>~creative(X))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>(~calm(X)&calm(... | patient(john) | [] | null | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | Paul is not curious. | contradiction | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | ~curious(paul) | [
"p5",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 537381466168891821315059
% SZS output start Proof for 537381466168891821315059
6. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) & brave(X0))) [input p5]
9. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((strong(X0) | curious(X0)) <=> (~kind(X0) | ~f... | 0 |
Everyone who is brave or old is generous and vice versa. Everyone who is not tall or wise is wise. Everyone who is both not funny and brave is creative. Everyone who is old or quiet is either not quiet or not funny and vice versa. Everyone who is either happy or not quiet is strong. Everyone who is either calm or not s... | Mary is humble. | neutral | (![X]:((brave(X)|old(X))<=>generous(X)))&
(![X]:((~tall(X)|wise(X))=>wise(X)))&
(![X]:((~funny(X)&brave(X))=>creative(X)))&
(![X]:((old(X)|quiet(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~quiet(X))=>strong(X)))&
(![X]:((calm(X)<~>~strong(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~rich(X)|~strong(X))<=>(~humble(X... | humble(mary) | [] | null | 0 |
Everyone who is either generous or wise is either not humble or not brave.
Everyone who is either not funny or strong is either not patient or rich and vice versa.
Everyone who is either funny or humble is brave or happy and vice versa.
Everyone who is brave is not funny and vice versa.
If someone is both not rich and ... | Paul is tall. | contradiction | (![X]:((generous(X)<~>wise(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((~funny(X)<~>strong(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((funny(X)<~>humble(X))<=>(brave(X)|happy(X))))&
(![X]:(brave(X)<=>~funny(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~rich(X)<~>funny(X))=>(calm(X)|~curious... | tall(paul) | [
"p2",
"p3",
"p8",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 88174468865450318156849
% SZS output start Proof for 88174468865450318156849
3. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (happy(X0) | brave(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> ~funny(X0)) [input p3]
9. ! [X0] : (curious(X0) <=> (quiet(X0) <~> ~calm(X0))) [input p8]
11. ! [X0] : ((... | 0 |
Everyone who is not rich is both calm and kind and vice versa. If someone is strong or not wise then someone is rich or creative and vice versa. Everyone who is both not brave and not curious is either creative or not happy and vice versa. If someone is either generous or not tall then someone is not curious or curious... | Paul is calm. | neutral | (![X]:(~rich(X)<=>(calm(X)&kind(X))))&
((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((rich(X)|creative(X)))))&
(![X]:((~brave(X)&~curious(X))<=>(creative(X)<~>~happy(X))))&
((?[X]:((generous(X)<~>~tall(X))))<=>(?[X]:((~curious(X)|curious(X)))))&
(((humble(lucy)|funny(lucy)))=>(?[X]:((quiet(X)&wise(X)))))&
((~old(john))<=>(?[... | calm(paul) | [] | null | 0 |
Everyone who is creative or calm is not wise or not old. If someone is curious or brave then someone is not patient. Everyone who is not old is both not curious and not rich. Everyone who is not tall or tall is either not tall or generous. Everyone who is both strong and not wise is both not creative and brave and vice... | Mary is not patient. | entailment | (![X]:((creative(X)|calm(X))=>(~wise(X)|~old(X))))&
((?[X]:((curious(X)|brave(X))))=>(?[X]:(~patient(X))))&
(![X]:(~old(X)=>(~curious(X)&~rich(X))))&
(![X]:((~tall(X)|tall(X))=>(~tall(X)<~>generous(X))))&
(![X]:((strong(X)&~wise(X))<=>(~creative(X)&brave(X))))&
((?[X]:(humble(X)))=>((happy(fred)|~kind(fred))))&
((curio... | ~patient(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4661774297419332445619333
% SZS output start Proof for 4661774297419332445619333
15. ! [X0] : ((humble(X0) | ~humble(X0)) => (~rich(X0) & ~patient(X0))) [input p14]
25. patient(mary) [input hypothesis]
36. ! [X0] : ((~rich(X0) & ~patient(X0)) | (~humble(X0) & humble(X0))) [ennf transforma... | 0 |
Everyone who is funny or creative is either not rich or not creative.
Everyone who is either creative or brave is both funny and not strong and vice versa.
Everyone who is brave or not strong is both not rich and not tall.
Everyone who is brave is both not curious and happy.
If someone is either not tall or calm then s... | John is patient. | entailment | (![X]:((funny(X)|creative(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((creative(X)<~>brave(X))<=>(funny(X)&~strong(X))))&
(![X]:((brave(X)|~strong(X))=>(~rich(X)&~tall(X))))&
(![X]:(brave(X)=>(~curious(X)&happy(X))))&
((?[X]:((~tall(X)<~>calm(X))))<=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:((~generous(X)<~>humble(X))))=>... | patient(john) | [
"p0",
"p1",
"p3",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5375541036202241281298182
% SZS output start Proof for 5375541036202241281298182
1. ! [X0] : ((creative(X0) | funny(X0)) => (~rich(X0) <~> ~creative(X0))) [input p0]
2. ! [X0] : ((creative(X0) <~> brave(X0)) <=> (~strong(X0) & funny(X0))) [input p1]
4. ! [X0] : (brave(X0) => (happy(X0) & ... | 0 |
If someone is both not humble and creative then mary is either not tall or not old and vice versa. Everyone who is either creative or strong is rich. Everyone who is generous or strong is both not calm and happy. Everyone who is not happy or not brave is strong and vice versa. Everyone who is not generous or funny is b... | Paul is not strong. | entailment | ((?[X]:((~humble(X)&creative(X))))<=>((~tall(mary)<~>~old(mary))))&
(![X]:((creative(X)<~>strong(X))=>rich(X)))&
(![X]:((generous(X)|strong(X))=>(~calm(X)&happy(X))))&
(![X]:((~happy(X)|~brave(X))<=>strong(X)))&
(![X]:((~generous(X)|funny(X))<=>(~kind(X)&calm(X))))&
(((humble(alice)|old(alice)))=>(?[X]:((~old(X)|~wise(... | ~strong(paul) | [
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7300548431086229828275963
% SZS output start Proof for 7300548431086229828275963
3. ! [X0] : ((strong(X0) | generous(X0)) => (happy(X0) & ~calm(X0))) [input p2]
5. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (calm(X0) & ~kind(X0))) [input p4]
10. ! [X0] : ((creative(X0) & calm(X0)) <=> (gen... | 0 |
Everyone who is either brave or not wise is not wise and vice versa. Everyone who is not happy or not strong is either not kind or curious. If fred is not rich then fred is not calm and vice versa. Everyone who is either not creative or quiet is both not curious and kind. Everyone who is not happy is both funny and old... | Alice is strong. | entailment | (![X]:((brave(X)<~>~wise(X))<=>~wise(X)))&
(![X]:((~happy(X)|~strong(X))=>(~kind(X)<~>curious(X))))&
((~rich(fred))<=>(~calm(fred)))&
(![X]:((~creative(X)<~>quiet(X))=>(~curious(X)&kind(X))))&
(![X]:(~happy(X)=>(funny(X)&old(X))))&
(![X]:(strong(X)=>(~calm(X)|~creative(X))))&
(![X]:((~curious(X)&happy(X))=>(rich(X)<~>~... | strong(alice) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1890789449292987789162517
% SZS output start Proof for 1890789449292987789162517
2. ! [X0] : ((~strong(X0) | ~happy(X0)) => (~kind(X0) <~> curious(X0))) [input p1]
8. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~kind(X0) & quiet(X0))) [input p7]
12. ! [X0] : (curious(X0) <=> (~kind(X0) <~>... | 0 |
If john is both not wise and not calm then susan is tall or not creative.
If paul is old or generous then someone is not generous and vice versa.
Everyone who is creative or not wise is happy or not old and vice versa.
Everyone who is both strong and patient is old and vice versa.
Everyone who is both happy and not cal... | Paul is not generous. | contradiction | (((~wise(john)&~calm(john)))=>((tall(susan)|~creative(susan))))&
(((old(paul)|generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|~wise(X))<=>(happy(X)|~old(X))))&
(![X]:((strong(X)&patient(X))<=>old(X)))&
(![X]:((happy(X)&~calm(X))<=>(brave(X)|humble(X))))&
(![X]:((rich(X)&calm(X))=>(~wise(X)|~happy(X))))&
... | ~generous(paul) | [
"p1",
"p2",
"p3",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3502758201339773760399382
% SZS output start Proof for 3502758201339773760399382
2. (generous(paul) | old(paul)) <=> ? [X0] : ~generous(X0) [input p1]
3. ! [X0] : ((~wise(X0) | creative(X0)) <=> (~old(X0) | happy(X0))) [input p2]
4. ! [X0] : ((patient(X0) & strong(X0)) <=> old(X0)) [input... | 0 |
If someone is either kind or old then john is either brave or calm and vice versa.
Everyone who is not humble is humble.
If lucy is both curious and tall then someone is strong or not patient and vice versa.
Everyone who is happy is both rich and not kind and vice versa.
Everyone who is not strong or not happy is not f... | John is brave. | neutral | ((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((strong(X)|~patient(X)))))&
(![X]:(happy(X)<=>(rich(X)&~kind(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~funny(X)|calm(X))))&
(((rich(fred)|wise(fred)))<=>((~tall(mary)&~calm(mary))))&
(![X]... | brave(john) | [] | null | 0 |
Everyone who is either not rich or not happy is not curious.
If lucy is not patient or not humble then alice is both not brave and not strong and vice versa.
Everyone who is not strong or not funny is either creative or not wise.
If mary is both patient and humble then lucy is kind or not strong.
Everyone who is both p... | Fred is happy. | contradiction | (![X]:((~rich(X)<~>~happy(X))=>~curious(X)))&
(((~patient(lucy)|~humble(lucy)))<=>((~brave(alice)&~strong(alice))))&
(![X]:((~strong(X)|~funny(X))=>(creative(X)<~>~wise(X))))&
(((patient(mary)&humble(mary)))=>((kind(lucy)|~strong(lucy))))&
(![X]:((patient(X)&old(X))=>(~generous(X)|humble(X))))&
(![X]:((funny(X)|~genero... | happy(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 85941870347459631288639
% SZS output start Proof for 85941870347459631288639
23. ~happy(fred) [input p22]
25. happy(fred) [input hypothesis]
133. ~happy(fred) [cnf transformation 23]
136. happy(fred) [cnf transformation 25]
255. 27 <=> happy(fred) [avatar definition]
323. ~27 [avatar spli... | 0 |
Everyone who is generous is calm.
Everyone who is not funny is either generous or not curious and vice versa.
If someone is creative or not creative then someone is both generous and not kind.
Everyone who is not strong or strong is both curious and not funny.
Everyone who is both not patient and humble is either gener... | John is not tall. | entailment | (![X]:(generous(X)=>calm(X)))&
(![X]:(~funny(X)<=>(generous(X)<~>~curious(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((~strong(X)|strong(X))=>(curious(X)&~funny(X))))&
(![X]:((~patient(X)&humble(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)<~>creative(X))=>(~funny(X)&calm(... | ~tall(john) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7592754620764189155848778
% SZS output start Proof for 7592754620764189155848778
4. ! [X0] : ((strong(X0) | ~strong(X0)) => (~funny(X0) & curious(X0))) [input p3]
8. ? [X0] : (tall(X0) | brave(X0)) <=> (wise(john) & funny(john)) [input p7]
21. tall(john) [input hypothesis]
26. ! [X0] : ((... | 0 |
If alice is not calm or funny then someone is both not creative and not generous and vice versa.
Everyone who is both kind and wise is either kind or not funny.
Everyone who is calm or not happy is not kind or happy and vice versa.
If someone is not patient then john is both curious and strong and vice versa.
If someon... | Mary is patient. | contradiction | (((~calm(alice)|funny(alice)))<=>(?[X]:((~creative(X)&~generous(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)<~>~funny(X))))&
(![X]:((calm(X)|~happy(X))<=>(~kind(X)|happy(X))))&
((?[X]:(~patient(X)))<=>((curious(john)&strong(john))))&
((?[X]:((~kind(X)<~>curious(X))))=>(?[X]:(curious(X))))&
((?[X]:(~generous(X)))=>(~curio... | patient(mary) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2664011895520545969667914
% SZS output start Proof for 2664011895520545969667914
11. ! [X0] : ((old(X0) | ~kind(X0)) <=> ~old(X0)) [input p10]
12. ! [X0] : (patient(X0) <=> (quiet(X0) & brave(X0))) [input p11]
14. ! [X0] : ((old(X0) & ~kind(X0)) <=> (patient(X0) <~> ~brave(X0))) [input p1... | 0 |
Everyone who is curious is funny or not creative and vice versa.
If mary is not tall then john is not brave or patient and vice versa.
If john is either curious or not tall then someone is either not strong or generous.
Everyone who is either quiet or not rich is creative and vice versa.
Everyone who is both humble and... | Mary is not strong. | neutral | (![X]:(curious(X)<=>(funny(X)|~creative(X))))&
((~tall(mary))<=>((~brave(john)|patient(john))))&
(((curious(john)<~>~tall(john)))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>creative(X)))&
(![X]:((humble(X)&rich(X))<=>(~patient(X)|humble(X))))&
(![X]:((kind(X)<~>happy(X))<=>(funny(X)&brave(X))... | ~strong(mary) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is patient. | entailment | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | patient(mary) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3161793777393875485324832
% SZS output start Proof for 3161793777393875485324832
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p3]
10. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))... | 0 |
Everyone who is old or calm is not quiet and vice versa. If someone is either not old or creative then mary is curious or calm and vice versa. Everyone who is not generous or not calm is not tall or not creative and vice versa. If john is not strong or not happy then someone is not humble or not strong. If susan is eit... | John is not happy. | entailment | (![X]:((old(X)|calm(X))<=>~quiet(X)))&
((?[X]:((~old(X)<~>creative(X))))<=>((curious(mary)|calm(mary))))&
(![X]:((~generous(X)|~calm(X))<=>(~tall(X)|~creative(X))))&
(((~strong(john)|~happy(john)))=>(?[X]:((~humble(X)|~strong(X)))))&
(((old(susan)<~>kind(susan)))=>(?[X]:((~humble(X)<~>patient(X)))))&
(![X]:((humble(X)|... | ~happy(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1129458993472726186117793
% SZS output start Proof for 1129458993472726186117793
23. ~wise(john) & ~happy(john) [input p22]
25. happy(john) [input hypothesis]
152. ~happy(john) [cnf transformation 23]
155. happy(john) [cnf transformation 25]
186. 7 <=> happy(john) [avatar definition]
324.... | 0 |
Everyone who is either not old or old is both brave and kind and vice versa. Everyone who is happy or not patient is not patient. Everyone who is both not quiet and not brave is not patient or funny. Everyone who is both not calm and creative is not humble or not creative and vice versa. Everyone who is either wise or ... | Alice is not wise. | neutral | (![X]:((~old(X)<~>old(X))<=>(brave(X)&kind(X))))&
(![X]:((happy(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)&~brave(X))=>(~patient(X)|funny(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)|~creative(X))))&
(![X]:((wise(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((... | ~wise(alice) | [] | null | 0 |
Everyone who is not tall is creative or not funny and vice versa. If someone is not calm or not funny then mary is both funny and curious. Everyone who is not funny or not wise is calm and vice versa. Everyone who is not tall or not wise is both not wise and creative. Everyone who is strong is either calm or wise and v... | Lucy is not patient. | neutral | (![X]:(~tall(X)<=>(creative(X)|~funny(X))))&
((?[X]:((~calm(X)|~funny(X))))=>((funny(mary)&curious(mary))))&
(![X]:((~funny(X)|~wise(X))<=>calm(X)))&
(![X]:((~tall(X)|~wise(X))=>(~wise(X)&creative(X))))&
(![X]:(strong(X)<=>(calm(X)<~>wise(X))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:((curious(X)&~humble(X))<=>(calm(X)... | ~patient(lucy) | [] | null | 0 |
If paul is either not funny or not rich then someone is not curious.
If mary is wise then john is not wise or not tall.
Everyone who is either not curious or patient is old or not kind.
Everyone who is not happy is both not strong and not patient.
Everyone who is both brave and happy is not creative and vice versa.
If ... | Susan is generous. | neutral | (((~funny(paul)<~>~rich(paul)))=>(?[X]:(~curious(X))))&
((wise(mary))=>((~wise(john)|~tall(john))))&
(![X]:((~curious(X)<~>patient(X))=>(old(X)|~kind(X))))&
(![X]:(~happy(X)=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~... | generous(susan) | [] | null | 0 |
Everyone who is either rich or not quiet is rich and vice versa. Everyone who is wise or not happy is kind and vice versa. If john is not strong then someone is either not calm or old and vice versa. If alice is not humble then john is both wise and not old. If alice is both not happy and not curious then someone is bo... | Lucy is not quiet. | contradiction | (![X]:((rich(X)<~>~quiet(X))<=>rich(X)))&
(![X]:((wise(X)|~happy(X))<=>kind(X)))&
((~strong(john))<=>(?[X]:((~calm(X)<~>old(X)))))&
((~humble(alice))=>((wise(john)&~old(john))))&
(((~happy(alice)&~curious(alice)))<=>(?[X]:((curious(X)&creative(X)))))&
(![X]:((~humble(X)&rich(X))=>(old(X)<~>humble(X))))&
(![X]:((~strong... | ~quiet(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 77492228880314566941626
% SZS output start Proof for 77492228880314566941626
1. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> rich(X0)) [input p0]
24. ~quiet(lucy) [input hypothesis]
33. ! [X0] : ((((quiet(X0) | ~rich(X0)) & (~quiet(X0) | rich(X0))) | ~rich(X0)) & (rich(X0) | ((rich(X0) | quiet... | 0 |
Everyone who is not calm or calm is both not creative and not brave and vice versa.
Everyone who is not calm or not funny is tall or not humble and vice versa.
If someone is curious or tall then someone is both tall and brave.
If lucy is both curious and not funny then susan is either not humble or brave.
Everyone who ... | Mary is not quiet. | neutral | (![X]:((~calm(X)|calm(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~calm(X)|~funny(X))<=>(tall(X)|~humble(X))))&
((?[X]:((curious(X)|tall(X))))=>(?[X]:((tall(X)&brave(X)))))&
(((curious(lucy)&~funny(lucy)))=>((~humble(susan)<~>brave(susan))))&
(![X]:((patient(X)&~tall(X))<=>(~tall(X)<~>~humble(X))))&
(![X]:((strong(X)|cal... | ~quiet(mary) | [] | null | 0 |
If fred is both not generous and not kind then fred is not wise or generous. If susan is either not strong or rich then alice is both not generous and not creative and vice versa. Everyone who is either not tall or not rich is both not generous and not patient and vice versa. If fred is either not funny or humble then ... | Fred is not curious. | entailment | (((~generous(fred)&~kind(fred)))=>((~wise(fred)|generous(fred))))&
(((~strong(susan)<~>rich(susan)))<=>((~generous(alice)&~creative(alice))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(... | ~curious(fred) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 824019921149352637196804
% SZS output start Proof for 824019921149352637196804
15. ! [X0] : (quiet(X0) <=> (rich(X0) | curious(X0))) [input p14]
24. ~quiet(fred) [input p23]
25. curious(fred) [input hypothesis]
60. ! [X0] : ((quiet(X0) | (~rich(X0) & ~curious(X0))) & ((rich(X0) | curious(... | 0 |
Everyone who is not kind or quiet is not old and vice versa.
If someone is both not humble and creative then fred is both not calm and not rich.
If paul is either generous or patient then alice is strong.
Everyone who is either not creative or not generous is not quiet.
Everyone who is both not old and old is not quiet... | Lucy is generous. | neutral | (![X]:((~kind(X)|quiet(X))<=>~old(X)))&
((?[X]:((~humble(X)&creative(X))))=>((~calm(fred)&~rich(fred))))&
(((generous(paul)<~>patient(paul)))=>(strong(alice)))&
(![X]:((~creative(X)<~>~generous(X))=>~quiet(X)))&
(![X]:((~old(X)&old(X))=>~quiet(X)))&
((?[X]:((calm(X)&~brave(X))))=>(?[X]:((~quiet(X)<~>happy(X)))))&
((?[X... | generous(lucy) | [] | null | 0 |
If someone is not tall or quiet then someone is either not funny or not happy and vice versa.
Everyone who is either generous or not humble is not creative and vice versa.
If someone is wise then paul is not quiet or not creative and vice versa.
Everyone who is both curious and not strong is either not brave or calm an... | Mary is humble. | contradiction | ((?[X]:((~tall(X)|quiet(X))))<=>(?[X]:((~funny(X)<~>~happy(X)))))&
(![X]:((generous(X)<~>~humble(X))<=>~creative(X)))&
((?[X]:(wise(X)))<=>((~quiet(paul)|~creative(paul))))&
(![X]:((curious(X)&~strong(X))<=>(~brave(X)<~>calm(X))))&
((?[X]:((strong(X)&creative(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~creative(X)|~strong(... | humble(mary) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6992386176494304067390794
% SZS output start Proof for 6992386176494304067390794
2. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> ~creative(X0)) [input p1]
19. ~creative(mary) <~> generous(mary) [input p18]
25. humble(mary) [input hypothesis]
44. ! [X0] : ((((humble(X0) | ~generous(X0)) & ... | 0 |
If someone is strong then susan is not rich.
If lucy is both not calm and patient then susan is not brave or patient.
Everyone who is both not brave and not rich is not curious or not creative and vice versa.
Everyone who is not quiet is not funny or old and vice versa.
Everyone who is both not wise and kind is tall.
E... | Lucy is patient. | neutral | ((?[X]:(strong(X)))=>(~rich(susan)))&
(((~calm(lucy)&patient(lucy)))=>((~brave(susan)|patient(susan))))&
(![X]:((~brave(X)&~rich(X))<=>(~curious(X)|~creative(X))))&
(![X]:(~quiet(X)<=>(~funny(X)|old(X))))&
(![X]:((~wise(X)&kind(X))=>tall(X)))&
(![X]:((~patient(X)&old(X))<=>(funny(X)<~>strong(X))))&
(((~humble(john)<~>~... | patient(lucy) | [] | null | 0 |
Everyone who is both humble and not old is humble or generous and vice versa.
Everyone who is both not strong and not calm is not brave.
Everyone who is both patient and not generous is both tall and not humble and vice versa.
Everyone who is either rich or kind is both not tall and brave and vice versa.
Everyone who i... | Alice is wise. | neutral | (![X]:((humble(X)&~old(X))<=>(humble(X)|generous(X))))&
(![X]:((~strong(X)&~calm(X))=>~brave(X)))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~humble(X))))&
(![X]:((rich(X)<~>kind(X))<=>(~tall(X)&brave(X))))&
(![X]:((~patient(X)|~kind(X))<=>brave(X)))&
(((funny(john)&~kind(john)))=>(generous(fred)))&
(![X]:((wise(X)&b... | wise(alice) | [] | null | 0 |
If alice is creative or strong then alice is not generous or kind and vice versa.
Everyone who is both not creative and curious is kind and vice versa.
Everyone who is not happy or wise is both old and not patient and vice versa.
If john is not calm then someone is both not wise and not tall.
If susan is either not hap... | John is not generous. | entailment | (((creative(alice)|strong(alice)))<=>((~generous(alice)|kind(alice))))&
(![X]:((~creative(X)&curious(X))<=>kind(X)))&
(![X]:((~happy(X)|wise(X))<=>(old(X)&~patient(X))))&
((~calm(john))=>(?[X]:((~wise(X)&~tall(X)))))&
(((~happy(susan)<~>~patient(susan)))<=>(~humble(susan)))&
(![X]:((tall(X)|rich(X))<=>(rich(X)&~strong(... | ~generous(john) | [
"p1",
"p8",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8425435155977013943288370
% SZS output start Proof for 8425435155977013943288370
2. ! [X0] : ((curious(X0) & ~creative(X0)) <=> kind(X0)) [input p1]
9. ! [X0] : (generous(X0) <=> ~funny(X0)) [input p8]
11. ! [X0] : ((~kind(X0) & ~brave(X0)) <=> (creative(X0) <~> kind(X0))) [input p10]
13.... | 0 |
Everyone who is wise is not funny or not generous.
Everyone who is either calm or funny is both funny and not quiet and vice versa.
Everyone who is both not generous and not rich is either not generous or humble and vice versa.
Everyone who is both funny and strong is both happy and not curious.
If lucy is both happy a... | Lucy is wise. | neutral | (![X]:(wise(X)=>(~funny(X)|~generous(X))))&
(![X]:((calm(X)<~>funny(X))<=>(funny(X)&~quiet(X))))&
(![X]:((~generous(X)&~rich(X))<=>(~generous(X)<~>humble(X))))&
(![X]:((funny(X)&strong(X))=>(happy(X)&~curious(X))))&
(((happy(lucy)&generous(lucy)))<=>((kind(lucy)|~wise(lucy))))&
(((wise(susan)&~old(susan)))=>(?[X]:((~ta... | wise(lucy) | [] | null | 0 |
Everyone who is both not quiet and wise is both not strong and not quiet.
Everyone who is not generous is either funny or happy.
If paul is kind or curious then susan is either happy or tall.
Everyone who is either wise or creative is strong or not curious and vice versa.
If someone is either happy or generous then som... | Paul is old. | neutral | (![X]:((~quiet(X)&wise(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~generous(X)=>(funny(X)<~>happy(X))))&
(((kind(paul)|curious(paul)))=>((happy(susan)<~>tall(susan))))&
(![X]:((wise(X)<~>creative(X))<=>(strong(X)|~curious(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((~brave(X)&wise(X)... | old(paul) | [] | null | 0 |
If someone is creative then someone is not tall or not generous and vice versa. Everyone who is generous is both funny and rich. Everyone who is either humble or old is both generous and funny. Everyone who is humble is calm and vice versa. Everyone who is humble is generous and vice versa. If someone is either happy o... | Alice is strong. | contradiction | ((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creati... | strong(alice) | [
"p0",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1265267439543868361334189
% SZS output start Proof for 1265267439543868361334189
1. ? [X0] : creative(X0) <=> ? [X0] : (~generous(X0) | ~tall(X0)) [input p0]
7. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (tall(X0) | ~brave(X0))) [input p6]
10. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~bra... | 0 |
If someone is both strong and not kind then someone is both humble and tall.
Everyone who is both not brave and not humble is not wise or not humble and vice versa.
Everyone who is not rich or not brave is humble and vice versa.
If someone is old or tall then alice is generous or not rich.
If alice is not brave or not ... | Paul is not wise. | contradiction | ((?[X]:((strong(X)&~kind(X))))=>(?[X]:((humble(X)&tall(X)))))&
(![X]:((~brave(X)&~humble(X))<=>(~wise(X)|~humble(X))))&
(![X]:((~rich(X)|~brave(X))<=>humble(X)))&
((?[X]:((old(X)|tall(X))))=>((generous(alice)|~rich(alice))))&
(((~brave(alice)|~quiet(alice)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:((happy(X)&~tall(X)... | ~wise(paul) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6050306027561765910717463
% SZS output start Proof for 6050306027561765910717463
2. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~humble(X0) | ~wise(X0))) [input p1]
3. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> humble(X0)) [input p2]
25. ~wise(paul) [input hypothesis]
43. ! [X0] : (((~humble(X0... | 0 |
Everyone who is both not strong and not funny is kind.
If someone is calm then paul is both not brave and brave and vice versa.
If mary is both not old and brave then someone is either patient or not rich and vice versa.
Everyone who is not brave or not quiet is brave and vice versa.
Everyone who is either happy or str... | Mary is rich. | neutral | (![X]:((~strong(X)&~funny(X))=>kind(X)))&
((?[X]:(calm(X)))<=>((~brave(paul)&brave(paul))))&
(((~old(mary)&brave(mary)))<=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((~brave(X)|~quiet(X))<=>brave(X)))&
(![X]:((happy(X)<~>strong(X))<=>~tall(X)))&
(![X]:((calm(X)&generous(X))<=>(happy(X)&~wise(X))))&
(![X]:(~humble(X)<=>(... | rich(mary) | [] | null | 0 |
Everyone who is either not patient or not wise is not creative and vice versa. Everyone who is either patient or not patient is either not tall or not brave. If someone is tall then fred is either not tall or brave. Everyone who is both not strong and funny is either not kind or not wise and vice versa. If mary is not ... | John is not curious. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>~creative(X)))&
(![X]:((patient(X)<~>~patient(X))=>(~tall(X)<~>~brave(X))))&
((?[X]:(tall(X)))=>((~tall(fred)<~>brave(fred))))&
(![X]:((~strong(X)&funny(X))<=>(~kind(X)<~>~wise(X))))&
(((~funny(mary)|brave(mary)))<=>(~curious(paul)))&
(![X]:(kind(X)=>~patient(X)))&
(![X]:((brave(X)|~ge... | ~curious(john) | [
"p1",
"p2",
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7852446116710661896153707
% SZS output start Proof for 7852446116710661896153707
2. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~tall(X0) <~> ~brave(X0))) [input p1]
3. ? [X0] : tall(X0) => (~tall(fred) <~> brave(fred)) [input p2]
6. ! [X0] : (kind(X0) => ~patient(X0)) [input p5]
7. ! [X... | 0 |
Everyone who is not quiet or humble is not humble and vice versa.
If someone is strong then someone is both not old and not wise.
Everyone who is not wise is both kind and not funny and vice versa.
Everyone who is either tall or not strong is not humble and vice versa.
If someone is both patient and not strong then som... | Fred is not tall. | contradiction | (![X]:((~quiet(X)|humble(X))<=>~humble(X)))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(kind(X)&~funny(X))))&
(![X]:((tall(X)<~>~strong(X))<=>~humble(X)))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy))... | ~tall(fred) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 279149056607242771718015
% SZS output start Proof for 279149056607242771718015
9. ? [X0] : ~tall(X0) => ~rich(alice) [input p8]
11. ! [X0] : ((~rich(X0) | ~brave(X0)) => (rich(X0) & ~curious(X0))) [input p10]
19. ~tall(fred) [input hypothesis]
29. ~rich(alice) | ! [X0] : tall(X0) [ennf tr... | 0 |
Everyone who is either not brave or strong is both not brave and not rich and vice versa.
If paul is not generous then lucy is either quiet or not calm and vice versa.
Everyone who is funny is either not calm or not rich and vice versa.
Everyone who is generous or patient is both not calm and not generous.
If someone i... | John is curious. | neutral | (![X]:((~brave(X)<~>strong(X))<=>(~brave(X)&~rich(X))))&
((~generous(paul))<=>((quiet(lucy)<~>~calm(lucy))))&
(![X]:(funny(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((generous(X)|patient(X))=>(~calm(X)&~generous(X))))&
((?[X]:((~calm(X)|~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:((~tall(X)&~brave(X))=>(brave(X)|~rich(X))))&
((... | curious(john) | [] | null | 0 |
Everyone who is happy or funny is either not calm or rich and vice versa. Everyone who is either not calm or not strong is either not rich or kind and vice versa. Everyone who is either quiet or not humble is either not rich or not patient and vice versa. If someone is either calm or tall then paul is old or not funny ... | Fred is rich. | entailment | (![X]:((happy(X)|funny(X))<=>(~calm(X)<~>rich(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(~rich(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>((old(paul)|~funny(paul))))&
(![X]:(wise(X)=>(generous(X)<~>~quiet(X))))&
((~brave(john))=>((~funny(susan)|tall(susan... | rich(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6572296214137838294767170
% SZS output start Proof for 6572296214137838294767170
13. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (rich(X0) & ~happy(X0))) [input p12]
25. ~rich(fred) [input hypothesis]
58. ! [X0] : ((((~wise(X0) | wise(X0)) & (wise(X0) | ~wise(X0))) | (~rich(X0) | happy(X0))) &... | 0 |
Everyone who is not wise or wise is either not tall or not wise and vice versa.
Everyone who is creative or funny is brave or kind and vice versa.
Everyone who is both tall and wise is either wise or creative.
Everyone who is both generous and not tall is both kind and happy.
If alice is kind or calm then someone is ri... | Alice is not humble. | contradiction | (![X]:((~wise(X)|wise(X))<=>(~tall(X)<~>~wise(X))))&
(![X]:((creative(X)|funny(X))<=>(brave(X)|kind(X))))&
(![X]:((tall(X)&wise(X))=>(wise(X)<~>creative(X))))&
(![X]:((generous(X)&~tall(X))=>(kind(X)&happy(X))))&
(((kind(alice)|calm(alice)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((old(X)<~>wise(X))))<=>((quiet(susan... | ~humble(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 828751027521401146654262
% SZS output start Proof for 828751027521401146654262
11. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humble(X0))) [input p10]
24. ~humble(alice) [input hypothesis]
31. ! [X0] : ((~patient(X0) & humble(X0)) | (humble(X0) & creative(X0))) [ennf trans... | 0 |
If susan is quiet or not old then someone is either not wise or humble and vice versa.
Everyone who is strong is generous or not brave.
Everyone who is funny or brave is not strong.
Everyone who is not wise is not strong or happy.
If someone is either not kind or brave then someone is not strong or not old and vice ver... | Alice is patient. | contradiction | (((quiet(susan)|~old(susan)))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(strong(X)=>(generous(X)|~brave(X))))&
(![X]:((funny(X)|brave(X))=>~strong(X)))&
(![X]:(~wise(X)=>(~strong(X)|happy(X))))&
((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
(![X]:((rich(X)&tall(X))=>(old(X)|strong(X))))&
(![X]:((ric... | patient(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5503421223100969801420962
% SZS output start Proof for 5503421223100969801420962
14. ! [X0] : (wise(X0) <=> (~patient(X0) | ~wise(X0))) [input p13]
24. patient(alice) [input hypothesis]
61. ! [X0] : ((wise(X0) | (patient(X0) & wise(X0))) & ((~patient(X0) | ~wise(X0)) | ~wise(X0))) [nnf tr... | 0 |
If someone is not kind or not rich then lucy is not generous or happy.
Everyone who is both funny and creative is either brave or happy.
If john is not old or not calm then lucy is either not creative or kind.
Everyone who is not kind or not strong is either not brave or funny and vice versa.
Everyone who is either qui... | John is not strong. | contradiction | ((?[X]:((~kind(X)|~rich(X))))=>((~generous(lucy)|happy(lucy))))&
(![X]:((funny(X)&creative(X))=>(brave(X)<~>happy(X))))&
(((~old(john)|~calm(john)))=>((~creative(lucy)<~>kind(lucy))))&
(![X]:((~kind(X)|~strong(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((quiet(X)<~>~strong(X))<=>curious(X)))&
(![X]:(quiet(X)<=>(~quiet(X)<~>... | ~strong(john) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8311180217198286697134601
% SZS output start Proof for 8311180217198286697134601
4. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (~brave(X0) <~> funny(X0))) [input p3]
6. ! [X0] : (quiet(X0) <=> (~quiet(X0) <~> calm(X0))) [input p5]
7. ! [X0] : ((~humble(X0) & rich(X0)) <=> (~strong(X0) & ~fun... | 0 |
Everyone who is not quiet is brave or wise.
Everyone who is both curious and happy is funny.
Everyone who is either creative or not funny is either not generous or not calm.
Everyone who is not creative is humble and vice versa.
Everyone who is not creative is rich or funny and vice versa.
Everyone who is not humble or... | Fred is not brave. | entailment | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>funny(X)))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(~kin... | ~brave(fred) | [
"p3",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6621077521484564037421798
% SZS output start Proof for 6621077521484564037421798
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
8. ? [X0] : (~creative(X0) | kind(X0)) => (~rich(fred) & humble(fred)) [input p7]
12. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~creative(X0) | ~curious(X0)... | 0 |
If mary is both not wise and not funny then fred is happy and vice versa.
Everyone who is either not patient or quiet is both not brave and not tall and vice versa.
Everyone who is either not curious or humble is both not calm and not funny and vice versa.
If someone is either not creative or kind then john is patient ... | Susan is not rich. | entailment | (((~wise(mary)&~funny(mary)))<=>(happy(fred)))&
(![X]:((~patient(X)<~>quiet(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~curious(X)<~>humble(X))<=>(~calm(X)&~funny(X))))&
((?[X]:((~creative(X)<~>kind(X))))=>((patient(john)|funny(john))))&
(![X]:(~humble(X)=>patient(X)))&
((?[X]:(old(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(!... | ~rich(susan) | [
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9025554371416545634752467
% SZS output start Proof for 9025554371416545634752467
20. rich(susan) <~> old(susan) [input p19]
23. old(susan) & ~curious(susan) [input p22]
25. rich(susan) [input hypothesis]
70. (~old(susan) | ~rich(susan)) & (old(susan) | rich(susan)) [nnf transformation 20]... | 0 |
Everyone who is not brave is not calm and vice versa.
Everyone who is not rich is both humble and patient.
If paul is both generous and not generous then someone is not rich or kind and vice versa.
Everyone who is either not strong or not calm is patient.
Everyone who is either strong or brave is either not creative or... | Fred is wise. | neutral | (![X]:(~brave(X)<=>~calm(X)))&
(![X]:(~rich(X)=>(humble(X)&patient(X))))&
(((generous(paul)&~generous(paul)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~strong(X)<~>~calm(X))=>patient(X)))&
(![X]:((strong(X)<~>brave(X))=>(~creative(X)<~>humble(X))))&
((rich(mary))<=>((~patient(alice)|~happy(alice))))&
(![X]:((creative(X)... | wise(fred) | [] | null | 0 |
If someone is kind then someone is tall or kind and vice versa. Everyone who is both curious and not happy is both happy and curious and vice versa. Everyone who is calm is either calm or creative. If fred is rich then someone is both not funny and not brave. Everyone who is both tall and not brave is not creative or n... | Lucy is strong. | neutral | ((?[X]:(kind(X)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((curious(X)&~happy(X))<=>(happy(X)&curious(X))))&
(![X]:(calm(X)=>(calm(X)<~>creative(X))))&
((rich(fred))=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((tall(X)&~brave(X))=>(~creative(X)|~kind(X))))&
(((strong(alice)&happy(alice)))<=>(?[X]:(tall(X))))&
((?[X]:(creativ... | strong(lucy) | [] | null | 0 |
If fred is old or not patient then someone is not generous or tall.
If susan is either not creative or funny then someone is either not brave or tall.
If someone is wise or patient then someone is both funny and rich.
Everyone who is both strong and creative is brave or not happy and vice versa.
Everyone who is both no... | Mary is not creative. | contradiction | (((old(fred)|~patient(fred)))=>(?[X]:((~generous(X)|tall(X)))))&
(((~creative(susan)<~>funny(susan)))=>(?[X]:((~brave(X)<~>tall(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:((~funny(X)&funny(X))<=>~tall(X)))&
(![X]:(~tall(X)=>(quiet... | ~creative(mary) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 50622614722150473513492
% SZS output start Proof for 50622614722150473513492
4. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p4]
7. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p6]
24... | 0 |
If alice is strong then alice is either not calm or generous and vice versa.
If susan is generous then susan is not old or patient.
If lucy is both calm and rich then someone is old or quiet and vice versa.
If paul is kind or rich then lucy is both not strong and happy and vice versa.
Everyone who is patient is both no... | Fred is not old. | neutral | ((strong(alice))<=>((~calm(alice)<~>generous(alice))))&
((generous(susan))=>((~old(susan)|patient(susan))))&
(((calm(lucy)&rich(lucy)))<=>(?[X]:((old(X)|quiet(X)))))&
(((kind(paul)|rich(paul)))<=>((~strong(lucy)&happy(lucy))))&
(![X]:(patient(X)=>(~brave(X)&~curious(X))))&
(![X]:((calm(X)&tall(X))=>(~wise(X)<~>wise(X))... | ~old(fred) | [] | null | 0 |
If mary is creative or not funny then someone is either patient or not brave and vice versa. Everyone who is humble or not wise is quiet. Everyone who is either strong or not funny is not generous or not old and vice versa. Everyone who is both calm and not patient is rich. Everyone who is not old is either calm or not... | Paul is not tall. | entailment | (((creative(mary)|~funny(mary)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((strong(X)<~>~funny(X))<=>(~generous(X)|~old(X))))&
(![X]:((calm(X)&~patient(X))=>rich(X)))&
(![X]:(~old(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:(calm(X)))=>(?[X]:((~ri... | ~tall(paul) | [
"p1",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8984281202546141330502114
% SZS output start Proof for 8984281202546141330502114
2. ! [X0] : ((~wise(X0) | humble(X0)) => quiet(X0)) [input p1]
9. ? [X0] : (quiet(X0) & humble(X0)) <=> ? [X0] : (tall(X0) | ~funny(X0)) [input p8]
11. ! [X0] : ((creative(X0) | quiet(X0)) => (~humble(X0) & t... | 0 |
If someone is calm or not funny then someone is either not rich or brave.
Everyone who is either not kind or not quiet is either quiet or kind.
If someone is not calm or calm then john is either not wise or funny.
Everyone who is both brave and happy is both not quiet and not curious and vice versa.
Everyone who is fun... | Lucy is kind. | entailment | ((?[X]:((calm(X)|~funny(X))))=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>(quiet(X)<~>kind(X))))&
((?[X]:((~calm(X)|calm(X))))=>((~wise(john)<~>funny(john))))&
(![X]:((brave(X)&happy(X))<=>(~quiet(X)&~curious(X))))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(((strong(lucy)&~old(lucy)))<=>(?[X]:((funn... | kind(lucy) | [
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 428267103894049321196874
% SZS output start Proof for 428267103894049321196874
9. ! [X0] : ((~kind(X0) <~> patient(X0)) <=> (brave(X0) | tall(X0))) [input p8]
13. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> patient(X0)) [input p12]
16. ! [X0] : ((tall(X0) | creative(X0)) => (old(X0) & patie... | 0 |
If someone is either wise or not generous then john is either calm or not calm and vice versa.
If mary is either not strong or not old then alice is either tall or patient and vice versa.
Everyone who is either not curious or not kind is both not brave and not funny and vice versa.
Everyone who is not wise or not curio... | Alice is creative. | neutral | ((?[X]:((wise(X)<~>~generous(X))))<=>((calm(john)<~>~calm(john))))&
(((~strong(mary)<~>~old(mary)))<=>((tall(alice)<~>patient(alice))))&
(![X]:((~curious(X)<~>~kind(X))<=>(~brave(X)&~funny(X))))&
(![X]:((~wise(X)|~curious(X))<=>~old(X)))&
(![X]:((funny(X)|~patient(X))<=>(funny(X)|curious(X))))&
((?[X]:((~creative(X)<~>... | creative(alice) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is creative is generous or not calm and vice versa.
If susan is both not calm and happy then someone is both rich and not old and vice versa.
If someone is not brave or not p... | Mary is old. | neutral | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(creative(X)<=>(generous(X)|~calm(X))))&
(((~calm(susan)&happy(susan)))<=>(?[X]:((rich(X)&~old(X)))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~... | old(mary) | [] | null | 0 |
If paul is not happy then someone is both not curious and quiet and vice versa.
If john is not generous or not creative then mary is not old or tall and vice versa.
If susan is either brave or funny then someone is not humble.
If someone is both not kind and not tall then paul is generous or not humble.
Everyone who is... | Mary is creative. | entailment | ((~happy(paul))<=>(?[X]:((~curious(X)&quiet(X)))))&
(((~generous(john)|~creative(john)))<=>((~old(mary)|tall(mary))))&
(((brave(susan)<~>funny(susan)))=>(?[X]:(~humble(X))))&
((?[X]:((~kind(X)&~tall(X))))=>((generous(paul)|~humble(paul))))&
(![X]:((~quiet(X)<~>humble(X))=>(humble(X)|~happy(X))))&
(![X]:((~quiet(X)&quie... | creative(mary) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4515653510336127772935002
% SZS output start Proof for 4515653510336127772935002
10. ! [X0] : ((~generous(X0) | creative(X0)) => (creative(X0) & funny(X0))) [input p9]
12. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> (generous(X0) & ~tall(X0))) [input p11]
24. ~creative(mary) [input hypoth... | 0 |
Everyone who is not generous is both wise and not funny and vice versa.
Everyone who is either not strong or calm is both not calm and not old.
Everyone who is both not kind and not wise is not generous or not happy and vice versa.
Everyone who is kind is humble or brave.
If susan is both not strong and not old then pa... | Paul is calm. | contradiction | (![X]:(~generous(X)<=>(wise(X)&~funny(X))))&
(![X]:((~strong(X)<~>calm(X))=>(~calm(X)&~old(X))))&
(![X]:((~kind(X)&~wise(X))<=>(~generous(X)|~happy(X))))&
(![X]:(kind(X)=>(humble(X)|brave(X))))&
(((~strong(susan)&~old(susan)))=>((~creative(paul)<~>~brave(paul))))&
(![X]:((generous(X)&humble(X))=>(~happy(X)&~patient(X))... | calm(paul) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7635531012324253335822443
% SZS output start Proof for 7635531012324253335822443
1. ! [X0] : (~generous(X0) <=> (~funny(X0) & wise(X0))) [input p0]
2. ! [X0] : ((~strong(X0) <~> calm(X0)) => (~old(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~happy(X0) | ~generou... | 0 |
If john is funny then someone is either curious or not humble and vice versa.
Everyone who is not humble or quiet is both tall and curious and vice versa.
Everyone who is both not curious and strong is both happy and not tall.
Everyone who is either funny or humble is either funny or not calm and vice versa.
If someone... | Paul is calm. | neutral | ((funny(john))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(![X]:((~humble(X)|quiet(X))<=>(tall(X)&curious(X))))&
(![X]:((~curious(X)&strong(X))=>(happy(X)&~tall(X))))&
(![X]:((funny(X)<~>humble(X))<=>(funny(X)<~>~calm(X))))&
((?[X]:(kind(X)))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:(~brave(X)<=>generous(X)))&
(![X]:((~fun... | calm(paul) | [] | null | 0 |
If fred is either quiet or not tall then mary is either not funny or quiet. Everyone who is not old or not strong is both curious and calm and vice versa. If someone is either not wise or generous then someone is either kind or not old and vice versa. If someone is humble then susan is old or not tall and vice versa. E... | Susan is not curious. | neutral | (((quiet(fred)<~>~tall(fred)))=>((~funny(mary)<~>quiet(mary))))&
(![X]:((~old(X)|~strong(X))<=>(curious(X)&calm(X))))&
((?[X]:((~wise(X)<~>generous(X))))<=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:(humble(X)))<=>((old(susan)|~tall(susan))))&
(![X]:((tall(X)&patient(X))=>(tall(X)|~rich(X))))&
(![X]:((~happy(X)|~curious(X))... | ~curious(susan) | [] | null | 0 |
Everyone who is rich is either not patient or not rich.
Everyone who is not brave is both humble and strong and vice versa.
Everyone who is both not humble and not tall is either not strong or not wise and vice versa.
Everyone who is quiet or not quiet is both not quiet and creative and vice versa.
Everyone who is both... | Alice is wise. | entailment | (![X]:(rich(X)=>(~patient(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>(humble(X)&strong(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~strong(X)<~>~wise(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~quiet(X)&~kind(X))=>(funny(X)&~kind(X))))&
(![X]:(~creative(X)=>rich(X)))&
(![X]:((brave(X)&strong(X))<=>~cr... | wise(alice) | [
"p1",
"p2",
"p3",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4188754996344338445425459
% SZS output start Proof for 4188754996344338445425459
2. ! [X0] : (~brave(X0) <=> (strong(X0) & humble(X0))) [input p1]
3. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> (~strong(X0) <~> ~wise(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (creative(X0) & ~... | 0 |
If alice is not creative or not calm then someone is either not calm or not rich.
Everyone who is both generous and not calm is both not humble and quiet.
If someone is both curious and not patient then john is brave.
If someone is both kind and not strong then mary is either humble or funny.
If someone is not old or c... | Alice is not funny. | neutral | (((~creative(alice)|~calm(alice)))=>(?[X]:((~calm(X)<~>~rich(X)))))&
(![X]:((generous(X)&~calm(X))=>(~humble(X)&quiet(X))))&
((?[X]:((curious(X)&~patient(X))))=>(brave(john)))&
((?[X]:((kind(X)&~strong(X))))=>((humble(mary)<~>funny(mary))))&
((?[X]:((~old(X)|calm(X))))=>(?[X]:(patient(X))))&
(![X]:((~patient(X)<~>kind(... | ~funny(alice) | [] | null | 0 |
Everyone who is wise or not generous is quiet and vice versa.
If fred is both creative and not old then someone is not quiet or kind and vice versa.
Everyone who is both not tall and creative is either creative or not happy and vice versa.
Everyone who is not generous is both not patient and not brave.
Everyone who is ... | Fred is rich. | contradiction | (![X]:((wise(X)|~generous(X))<=>quiet(X)))&
(((creative(fred)&~old(fred)))<=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)<~>~happy(X))))&
(![X]:(~generous(X)=>(~patient(X)&~brave(X))))&
(![X]:((~kind(X)<~>~patient(X))<=>(~calm(X)|tall(X))))&
(![X]:(creative(X)=>(~rich(X)&~patient(X))))&
(... | rich(fred) | [
"p1",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8487500742540003188215886
% SZS output start Proof for 8487500742540003188215886
2. (~old(fred) & creative(fred)) <=> ? [X0] : (kind(X0) | ~quiet(X0)) [input p1]
6. ! [X0] : (creative(X0) => (~patient(X0) & ~rich(X0))) [input p5]
19. ? [X0] : (~old(X0) & ~quiet(X0)) [input p18]
22. rich(f... | 0 |
Everyone who is both funny and not happy is both generous and not strong and vice versa.
If fred is both quiet and generous then paul is quiet or tall and vice versa.
Everyone who is either not kind or not strong is both happy and not old and vice versa.
Everyone who is not old or brave is funny and vice versa.
If some... | Lucy is not funny. | neutral | (![X]:((funny(X)&~happy(X))<=>(generous(X)&~strong(X))))&
(((quiet(fred)&generous(fred)))<=>((quiet(paul)|tall(paul))))&
(![X]:((~kind(X)<~>~strong(X))<=>(happy(X)&~old(X))))&
(![X]:((~old(X)|brave(X))<=>funny(X)))&
((?[X]:((~brave(X)|~curious(X))))<=>((~wise(john)<~>~patient(john))))&
(![X]:(wise(X)<=>(~wise(X)&~quiet... | ~funny(lucy) | [] | null | 0 |
Everyone who is both brave and patient is quiet and vice versa. Everyone who is not curious or old is brave. If mary is both not generous and not strong then john is not brave and vice versa. If paul is happy then john is not rich and vice versa. If fred is quiet or not creative then someone is both not quiet and not b... | Mary is not strong. | contradiction | (![X]:((brave(X)&patient(X))<=>quiet(X)))&
(![X]:((~curious(X)|old(X))=>brave(X)))&
(((~generous(mary)&~strong(mary)))<=>(~brave(john)))&
((happy(paul))<=>(~rich(john)))&
(((quiet(fred)|~creative(fred)))<=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~strong(X)|~rich(X))=>(generous(X)&~generous(X))))&
(![X]:((kind(X)|tall(... | ~strong(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3518916930722256801956687
% SZS output start Proof for 3518916930722256801956687
6. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~generous(X0) & generous(X0))) [input p5]
25. ~strong(mary) [input hypothesis]
30. ! [X0] : ((~generous(X0) & generous(X0)) | (rich(X0) & strong(X0))) [ennf transfor... | 0 |
If someone is either happy or not strong then someone is both not quiet and rich and vice versa.
Everyone who is not brave is both old and funny and vice versa.
If lucy is not curious then mary is kind.
If someone is both curious and wise then someone is either not old or not generous and vice versa.
Everyone who is wi... | Susan is not tall. | neutral | ((?[X]:((happy(X)<~>~strong(X))))<=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:(~brave(X)<=>(old(X)&funny(X))))&
((~curious(lucy))=>(kind(mary)))&
((?[X]:((curious(X)&wise(X))))<=>(?[X]:((~old(X)<~>~generous(X)))))&
(![X]:((wise(X)|creative(X))=>(generous(X)|~strong(X))))&
((strong(alice))=>(?[X]:(~patient(X))))&
(![X]:((~cu... | ~tall(susan) | [] | null | 0 |
Everyone who is both calm and not happy is calm and vice versa.
Everyone who is calm or generous is both brave and not tall and vice versa.
If someone is either not tall or not strong then someone is both happy and not quiet and vice versa.
Everyone who is not strong or old is both creative and patient.
If mary is eith... | Alice is calm. | contradiction | (![X]:((calm(X)&~happy(X))<=>calm(X)))&
(![X]:((calm(X)|generous(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))=>((~patient(fred)<~>~calm(fred))))&
(((~quiet(john)&~patient(john)))<... | calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6776275992494508260641514
% SZS output start Proof for 6776275992494508260641514
1. ! [X0] : ((~happy(X0) & calm(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : ((generous(X0) | calm(X0)) <=> (~tall(X0) & brave(X0))) [input p1]
3. ? [X0] : (~tall(X0) <~> ~strong(X0)) <=> ? [X0] : (~quiet(X0) & ... | 0 |
Everyone who is wise or patient is either humble or not wise and vice versa.
If mary is both not rich and wise then someone is either not calm or strong and vice versa.
If someone is either quiet or not calm then someone is both generous and not strong and vice versa.
If someone is not generous then someone is tall or ... | Lucy is patient. | entailment | (![X]:((wise(X)|patient(X))<=>(humble(X)<~>~wise(X))))&
(((~rich(mary)&wise(mary)))<=>(?[X]:((~calm(X)<~>strong(X)))))&
((?[X]:((quiet(X)<~>~calm(X))))<=>(?[X]:((generous(X)&~strong(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((tall(X)|curious(X)))))&
((~tall(john))=>(?[X]:(~humble(X))))&
(![X]:((~generous(X)|~tall(X))=>(~t... | patient(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5536434681098442239121783
% SZS output start Proof for 5536434681098442239121783
20. ~humble(lucy) & patient(lucy) [input p19]
25. ~patient(lucy) [input hypothesis]
161. patient(lucy) [cnf transformation 20]
170. ~patient(lucy) [cnf transformation 25]
431. $false [subsumption resolution 1... | 0 |
If fred is either not tall or old then alice is curious or not rich.
Everyone who is both not brave and rich is not patient and vice versa.
Everyone who is quiet or funny is both not brave and rich and vice versa.
Everyone who is rich or not humble is either not rich or strong and vice versa.
Everyone who is both brave... | Alice is old. | neutral | (((~tall(fred)<~>old(fred)))=>((curious(alice)|~rich(alice))))&
(![X]:((~brave(X)&rich(X))<=>~patient(X)))&
(![X]:((quiet(X)|funny(X))<=>(~brave(X)&rich(X))))&
(![X]:((rich(X)|~humble(X))<=>(~rich(X)<~>strong(X))))&
(![X]:((brave(X)&~funny(X))=>(~wise(X)<~>~humble(X))))&
((?[X]:((~quiet(X)|brave(X))))=>(?[X]:((~calm(X)... | old(alice) | [] | null | 0 |
Everyone who is brave is not patient or not quiet. Everyone who is both not brave and rich is curious and vice versa. Everyone who is either curious or brave is quiet. If someone is both not kind and rich then someone is not curious or wise. If someone is either tall or generous then someone is rich and vice versa. Eve... | Fred is patient. | contradiction | (![X]:(brave(X)=>(~patient(X)|~quiet(X))))&
(![X]:((~brave(X)&rich(X))<=>curious(X)))&
(![X]:((curious(X)<~>brave(X))=>quiet(X)))&
((?[X]:((~kind(X)&rich(X))))=>(?[X]:((~curious(X)|wise(X)))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)<~>brave(X))=>(~tall(X)|~kind(X))))&
(![X]:((~wise(X... | patient(fred) | [
"p0",
"p1",
"p2",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4742208948625196704570758
% SZS output start Proof for 4742208948625196704570758
1. ! [X0] : (brave(X0) => (~quiet(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((rich(X0) & ~brave(X0)) <=> curious(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> brave(X0)) => quiet(X0)) [input p2]
15. ? [X0] ... | 0 |
Everyone who is not humble or curious is happy.
Everyone who is both patient and not patient is not old or wise and vice versa.
Everyone who is either not happy or patient is old.
Everyone who is kind is both funny and not funny.
If fred is not patient then someone is either generous or creative and vice versa.
If alic... | John is not kind. | entailment | (![X]:((~humble(X)|curious(X))=>happy(X)))&
(![X]:((patient(X)&~patient(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)=>(funny(X)&~funny(X))))&
((~patient(fred))<=>(?[X]:((generous(X)<~>creative(X)))))&
((~brave(alice))<=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creative(X)|~ric... | ~kind(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7553182343526390432200978
% SZS output start Proof for 7553182343526390432200978
4. ! [X0] : (kind(X0) => (~funny(X0) & funny(X0))) [input p3]
24. kind(john) [input hypothesis]
28. ! [X0] : ((~funny(X0) & funny(X0)) | ~kind(X0)) [ennf transformation 4]
79. funny(X0) | ~kind(X0) [cnf trans... | 0 |
Everyone who is not funny is either not funny or curious and vice versa.
Everyone who is both not patient and happy is quiet or not kind and vice versa.
If someone is both not creative and tall then john is old or not generous and vice versa.
Everyone who is either not creative or old is not rich or not tall.
Everyone ... | Mary is not curious. | entailment | (![X]:(~funny(X)<=>(~funny(X)<~>curious(X))))&
(![X]:((~patient(X)&happy(X))<=>(quiet(X)|~kind(X))))&
((?[X]:((~creative(X)&tall(X))))<=>((old(john)|~generous(john))))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)|~tall(X))))&
(![X]:(~patient(X)=>funny(X)))&
((?[X]:((kind(X)&strong(X))))=>((happy(alice)|patient(alice))))&... | ~curious(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8374323740616622136556998
% SZS output start Proof for 8374323740616622136556998
1. ! [X0] : (~funny(X0) <=> (~funny(X0) <~> curious(X0))) [input p0]
25. curious(mary) [input hypothesis]
37. ! [X0] : ((~funny(X0) | ((~funny(X0) | ~curious(X0)) & (curious(X0) | funny(X0)))) & (((~curious(X... | 0 |
Everyone who is humble or quiet is both not wise and not quiet. If fred is both tall and strong then someone is happy or not kind and vice versa. Everyone who is both generous and not curious is curious. If someone is either not brave or not wise then alice is calm. Everyone who is tall or not strong is not calm or not... | Alice is brave. | contradiction | (![X]:((humble(X)|quiet(X))=>(~wise(X)&~quiet(X))))&
(((tall(fred)&strong(fred)))<=>(?[X]:((happy(X)|~kind(X)))))&
(![X]:((generous(X)&~curious(X))=>curious(X)))&
((?[X]:((~brave(X)<~>~wise(X))))=>(calm(alice)))&
(![X]:((tall(X)|~strong(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~wise(X)<=>(calm(X)<~>curious(X))))&
(((wise(l... | brave(alice) | [
"p0",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6542361698150921705960781
% SZS output start Proof for 6542361698150921705960781
1. ! [X0] : ((quiet(X0) | humble(X0)) => (~quiet(X0) & ~wise(X0))) [input p0]
11. ? [X0] : (~calm(X0) | old(X0)) => quiet(john) [input p10]
14. ! [X0] : ((kind(X0) & humble(X0)) <=> (old(X0) <~> brave(X0))) [... | 0 |
Everyone who is both creative and old is both generous and not humble. Everyone who is old or curious is humble or generous and vice versa. Everyone who is both creative and not quiet is either not rich or not kind and vice versa. Everyone who is not strong is quiet or rich. Everyone who is either kind or not rich is b... | Fred is not rich. | contradiction | (![X]:((creative(X)&old(X))=>(generous(X)&~humble(X))))&
(![X]:((old(X)|curious(X))<=>(humble(X)|generous(X))))&
(![X]:((creative(X)&~quiet(X))<=>(~rich(X)<~>~kind(X))))&
(![X]:(~strong(X)=>(quiet(X)|rich(X))))&
(![X]:((kind(X)<~>~rich(X))=>(brave(X)&~old(X))))&
(((strong(mary)<~>~rich(mary)))=>(?[X]:(funny(X))))&
(((q... | ~rich(fred) | [
"p2",
"p3",
"p4",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 181073841475010567835682
% SZS output start Proof for 181073841475010567835682
3. ! [X0] : ((~quiet(X0) & creative(X0)) <=> (~rich(X0) <~> ~kind(X0))) [input p2]
4. ! [X0] : (~strong(X0) => (rich(X0) | quiet(X0))) [input p3]
5. ! [X0] : ((kind(X0) <~> ~rich(X0)) => (~old(X0) & brave(X0)))... | 0 |
Everyone who is creative or not calm is either quiet or not happy.
Everyone who is both funny and not strong is generous or happy and vice versa.
Everyone who is both not curious and calm is both creative and not quiet.
Everyone who is not tall or funny is wise or not rich and vice versa.
If fred is not generous or not... | Fred is rich. | neutral | (![X]:((creative(X)|~calm(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((funny(X)&~strong(X))<=>(generous(X)|happy(X))))&
(![X]:((~curious(X)&calm(X))=>(creative(X)&~quiet(X))))&
(![X]:((~tall(X)|funny(X))<=>(wise(X)|~rich(X))))&
(((~generous(fred)|~patient(fred)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(~rich(X)<=>generous(X)))&... | rich(fred) | [] | null | 0 |
If susan is either generous or not funny then someone is generous and vice versa. Everyone who is not brave or generous is calm or brave. If someone is both not wise and not kind then someone is either not happy or generous and vice versa. Everyone who is not rich or tall is both not rich and not generous. Everyone who... | Susan is not generous. | contradiction | (((generous(susan)<~>~funny(susan)))<=>(?[X]:(generous(X))))&
(![X]:((~brave(X)|generous(X))=>(calm(X)|brave(X))))&
((?[X]:((~wise(X)&~kind(X))))<=>(?[X]:((~happy(X)<~>generous(X)))))&
(![X]:((~rich(X)|tall(X))=>(~rich(X)&~generous(X))))&
(![X]:(~brave(X)<=>strong(X)))&
(![X]:((~brave(X)&~calm(X))<=>~generous(X)))&
(((... | ~generous(susan) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 183278676714287394840258
% SZS output start Proof for 183278676714287394840258
2. ! [X0] : ((generous(X0) | ~brave(X0)) => (brave(X0) | calm(X0))) [input p1]
6. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> ~generous(X0)) [input p5]
23. ~generous(susan) [input hypothesis]
31. ! [X0] : ((brave(X0... | 0 |
If paul is both not brave and not quiet then john is either curious or not old and vice versa. If someone is humble then susan is both calm and strong and vice versa. If paul is quiet or not old then mary is old and vice versa. If someone is either not brave or calm then mary is either not happy or brave and vice versa... | John is tall. | entailment | (((~brave(paul)&~quiet(paul)))<=>((curious(john)<~>~old(john))))&
((?[X]:(humble(X)))<=>((calm(susan)&strong(susan))))&
(((quiet(paul)|~old(paul)))<=>(old(mary)))&
((?[X]:((~brave(X)<~>calm(X))))<=>((~happy(mary)<~>brave(mary))))&
(![X]:(~brave(X)<=>kind(X)))&
(((humble(john)|~patient(john)))<=>(?[X]:((~generous(X)<~>~... | tall(john) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2720384011971330612281111
% SZS output start Proof for 2720384011971330612281111
9. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~creative(X0) & curious(X0))) [input p8]
14. ! [X0] : ((creative(X0) & ~wise(X0)) <=> (~funny(X0) | ~tall(X0))) [input p13]
23. ~tall(john) [input hypothesis]
51. ! [X... | 0 |
Everyone who is both not quiet and not humble is funny or humble and vice versa. If someone is not quiet or generous then fred is both not strong and quiet and vice versa. If fred is both kind and not rich then alice is either humble or strong and vice versa. If alice is both strong and tall then someone is not calm or... | Alice is strong. | contradiction | (![X]:((~quiet(X)&~humble(X))<=>(funny(X)|humble(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((~strong(fred)&quiet(fred))))&
(((kind(fred)&~rich(fred)))<=>((humble(alice)<~>strong(alice))))&
(((strong(alice)&tall(alice)))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(quiet(X)|~curious(X))))&
(![X]:((... | strong(alice) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7417076372349330988929451
% SZS output start Proof for 7417076372349330988929451
1. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (humble(X0) | funny(X0))) [input p0]
2. ? [X0] : (generous(X0) | ~quiet(X0)) <=> (quiet(fred) & ~strong(fred)) [input p1]
3. (~rich(fred) & kind(fred)) <=> (humble(... | 0 |
If someone is both tall and not brave then john is creative or curious.
Everyone who is either patient or curious is both strong and rich and vice versa.
Everyone who is either not wise or not patient is either not generous or patient.
If someone is either not funny or calm then alice is either rich or not curious.
Eve... | John is not rich. | entailment | ((?[X]:((tall(X)&~brave(X))))=>((creative(john)|curious(john))))&
(![X]:((patient(X)<~>curious(X))<=>(strong(X)&rich(X))))&
(![X]:((~wise(X)<~>~patient(X))=>(~generous(X)<~>patient(X))))&
((?[X]:((~funny(X)<~>calm(X))))=>((rich(alice)<~>~curious(alice))))&
(![X]:((~patient(X)|~humble(X))<=>(funny(X)&~funny(X))))&
(((~h... | ~rich(john) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3305177488940700612165467
% SZS output start Proof for 3305177488940700612165467
7. ! [X0] : ((~happy(X0) | wise(X0)) => ~rich(X0)) [input p6]
21. quiet(john) & wise(john) [input p20]
24. rich(john) [input hypothesis]
31. ! [X0] : (~rich(X0) | (happy(X0) & ~wise(X0))) [ennf transformation... | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is both creative and brave.
If someone is happy then paul is kind or not patient.
If someone is either kind or generous then someone is not humble.
Everyone who is both not wise... | Mary is not funny. | neutral | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((creative(mary)&brave(mary))))&
((?[X]:(happy(X)))=>((kind(paul)|~patient(paul))))&
((?[X]:((kind(X)<~>generous(X))))=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)&rich(X))<=>(funny(X)|humble(X))))&
(![X]:((quiet(X)<~>humble(X))<... | ~funny(mary) | [] | null | 0 |
Everyone who is both not brave and not creative is either not old or not humble.
If paul is both wise and not brave then mary is calm and vice versa.
If paul is not happy then someone is not wise or not patient.
Everyone who is both not humble and not old is both not patient and not quiet and vice versa.
If paul is eit... | Mary is not tall. | neutral | (![X]:((~brave(X)&~creative(X))=>(~old(X)<~>~humble(X))))&
(((wise(paul)&~brave(paul)))<=>(calm(mary)))&
((~happy(paul))=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((~humble(X)&~old(X))<=>(~patient(X)&~quiet(X))))&
(((old(paul)<~>~wise(paul)))=>(?[X]:(~patient(X))))&
(![X]:((~calm(X)&~curious(X))<=>~rich(X)))&
(![X]:((cr... | ~tall(mary) | [] | null | 0 |
Everyone who is generous is brave and vice versa.
Everyone who is either calm or creative is brave or not brave.
Everyone who is both not funny and not humble is generous or curious and vice versa.
Everyone who is wise is not brave or not humble.
Everyone who is strong is either humble or not funny and vice versa.
Ever... | Mary is quiet. | entailment | (![X]:(generous(X)<=>brave(X)))&
(![X]:((calm(X)<~>creative(X))=>(brave(X)|~brave(X))))&
(![X]:((~funny(X)&~humble(X))<=>(generous(X)|curious(X))))&
(![X]:(wise(X)=>(~brave(X)|~humble(X))))&
(![X]:(strong(X)<=>(humble(X)<~>~funny(X))))&
(![X]:((wise(X)|~rich(X))=>quiet(X)))&
((?[X]:((~humble(X)|~curious(X))))<=>(?[X]:(... | quiet(mary) | [
"p0",
"p2",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 320778699900557717346383
% SZS output start Proof for 320778699900557717346383
1. ! [X0] : (generous(X0) <=> brave(X0)) [input p0]
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (curious(X0) | generous(X0))) [input p2]
8. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (brave(X0) | creative(X0)))... | 0 |
Everyone who is brave or not old is not wise or tall.
Everyone who is not quiet is not strong.
If someone is not funny or not brave then susan is both creative and curious.
Everyone who is not generous or happy is either funny or not funny and vice versa.
Everyone who is either not strong or not curious is either kind ... | John is not humble. | contradiction | (![X]:((brave(X)|~old(X))=>(~wise(X)|tall(X))))&
(![X]:(~quiet(X)=>~strong(X)))&
((?[X]:((~funny(X)|~brave(X))))=>((creative(susan)&curious(susan))))&
(![X]:((~generous(X)|happy(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((~strong(X)<~>~curious(X))=>(kind(X)<~>~generous(X))))&
(((humble(alice)|creative(alice)))<=>(?[X]:(tal... | ~humble(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3512842874565107822183959
% SZS output start Proof for 3512842874565107822183959
9. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0))) [input p8]
23. ~humble(john) [input hypothesis]
32. ! [X0] : ((~tall(X0) & humble(X0)) | (wise(X0) & humble(X0))) [ennf transformation 9]
98... | 0 |
If paul is either not strong or not generous then john is curious or calm. Everyone who is not humble or strong is both not happy and not patient. If susan is not patient then lucy is both not brave and quiet and vice versa. If someone is either not old or not calm then susan is not generous or not tall and vice versa.... | Susan is strong. | contradiction | (((~strong(paul)<~>~generous(paul)))=>((curious(john)|calm(john))))&
(![X]:((~humble(X)|strong(X))=>(~happy(X)&~patient(X))))&
((~patient(susan))<=>((~brave(lucy)&quiet(lucy))))&
((?[X]:((~old(X)<~>~calm(X))))<=>((~generous(susan)|~tall(susan))))&
(((tall(mary)&~strong(mary)))<=>(?[X]:(calm(X))))&
((?[X]:(~brave(X)))=>... | strong(susan) | [
"p1",
"p2",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6157577567992462652226399
% SZS output start Proof for 6157577567992462652226399
2. ! [X0] : ((strong(X0) | ~humble(X0)) => (~patient(X0) & ~happy(X0))) [input p1]
3. ~patient(susan) <=> (quiet(lucy) & ~brave(lucy)) [input p2]
6. ? [X0] : ~brave(X0) => happy(lucy) [input p5]
19. ~humble(l... | 0 |
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | Alice is not funny. | neutral | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | ~funny(alice) | [] | null | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Lucy is curious. | entailment | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | curious(lucy) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3224711396776418739467878
% SZS output start Proof for 3224711396776418739467878
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
2. ! [X0] : (happy(X0) <=> (old(X0) & ~tall(X0))) [input p1]
7. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~tall(X0) <~> patie... | 0 |
If someone is both happy and curious then paul is not curious and vice versa. Everyone who is both quiet and old is both not wise and calm. If john is wise or not kind then fred is not humble and vice versa. Everyone who is both tall and generous is humble or wise. Everyone who is both not brave and creative is both wi... | Alice is curious. | neutral | ((?[X]:((happy(X)&curious(X))))<=>(~curious(paul)))&
(![X]:((quiet(X)&old(X))=>(~wise(X)&calm(X))))&
(((wise(john)|~kind(john)))<=>(~humble(fred)))&
(![X]:((tall(X)&generous(X))=>(humble(X)|wise(X))))&
(![X]:((~brave(X)&creative(X))<=>(wise(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~rich(X))))&
(![X]:((tal... | curious(alice) | [] | null | 0 |
If fred is not old then alice is not creative and vice versa. Everyone who is either generous or old is either humble or quiet. Everyone who is either brave or generous is either not humble or not rich. Everyone who is either quiet or old is tall or curious and vice versa. Everyone who is funny is not quiet or humble a... | Fred is not humble. | entailment | ((~old(fred))<=>(~creative(alice)))&
(![X]:((generous(X)<~>old(X))=>(humble(X)<~>quiet(X))))&
(![X]:((brave(X)<~>generous(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>old(X))<=>(tall(X)|curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~quiet(X)=>(brave(X)&~old(X))))&
(![X]:((generous(X)|humble(X))... | ~humble(fred) | [
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8804107895631798943254088
% SZS output start Proof for 8804107895631798943254088
7. ! [X0] : ((humble(X0) | generous(X0)) => (~creative(X0) & ~strong(X0))) [input p6]
9. ! [X0] : (~creative(X0) => (~wise(X0) <~> ~creative(X0))) [input p8]
14. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~wise(X0... | 0 |
If alice is wise or quiet then mary is rich and vice versa.
Everyone who is either curious or not curious is both not old and not brave and vice versa.
Everyone who is both wise and brave is not kind and vice versa.
Everyone who is wise or creative is both not quiet and brave and vice versa.
Everyone who is both funny ... | Fred is not wise. | entailment | (((wise(alice)|quiet(alice)))<=>(rich(mary)))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)&~brave(X))))&
(![X]:((wise(X)&brave(X))<=>~kind(X)))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>old(X))))=>(?[X]:(~rich(X))))&
(((happy(lucy... | ~wise(fred) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 640412111047902252297055
% SZS output start Proof for 640412111047902252297055
2. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~brave(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0) & ~quiet(X0))) [input p3]
22. wise(fred) [input hypothesis]
31. ! [X0] :... | 0 |
If someone is both not strong and happy then someone is both happy and strong.
If someone is both not generous and generous then susan is kind or not generous and vice versa.
Everyone who is not patient is both creative and not funny.
If someone is patient then lucy is both funny and humble and vice versa.
Everyone who... | Paul is not brave. | entailment | ((?[X]:((~strong(X)&happy(X))))=>(?[X]:((happy(X)&strong(X)))))&
((?[X]:((~generous(X)&generous(X))))<=>((kind(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(creative(X)&~funny(X))))&
((?[X]:(patient(X)))<=>((funny(lucy)&humble(lucy))))&
(![X]:(generous(X)=>(~happy(X)|~tall(X))))&
(![X]:((~kind(X)&~calm(X))<=>(humble... | ~brave(paul) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7031324417367098246477699
% SZS output start Proof for 7031324417367098246477699
7. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~wise(X0) & ~generous(X0))) [input p6]
17. ~wise(paul) <~> ~generous(paul) [input p16]
25. brave(paul) [input hypothesis]
53. ! [X0] : (((~patient(X0) | brave(X0))... | 0 |
Everyone who is both not brave and old is either not quiet or not creative and vice versa. Everyone who is creative or not generous is both not curious and not creative and vice versa. If lucy is either kind or tall then lucy is either quiet or old. Everyone who is either not strong or happy is not funny or not rich an... | Fred is happy. | entailment | (![X]:((~brave(X)&old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((creative(X)|~generous(X))<=>(~curious(X)&~creative(X))))&
(((kind(lucy)<~>tall(lucy)))=>((quiet(lucy)<~>old(lucy))))&
(![X]:((~strong(X)<~>happy(X))<=>(~funny(X)|~rich(X))))&
(![X]:((generous(X)|~creative(X))<=>~wise(X)))&
((?[X]:((~calm(X)|wise(X))))<=>... | happy(fred) | [
"p1",
"p3",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7781510816091602254214447
% SZS output start Proof for 7781510816091602254214447
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~creative(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~rich(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | gener... | 0 |
Everyone who is generous or not humble is quiet or curious.
Everyone who is either curious or not brave is generous and vice versa.
Everyone who is either happy or not curious is either not generous or wise and vice versa.
Everyone who is not old or generous is either tall or wise and vice versa.
Everyone who is not ge... | Susan is funny. | neutral | (![X]:((generous(X)|~humble(X))=>(quiet(X)|curious(X))))&
(![X]:((curious(X)<~>~brave(X))<=>generous(X)))&
(![X]:((happy(X)<~>~curious(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise... | funny(susan) | [] | null | 0 |
Everyone who is either patient or not brave is strong.
Everyone who is old or not curious is not happy or not brave and vice versa.
Everyone who is both not generous and humble is not patient and vice versa.
Everyone who is not creative is either calm or kind.
Everyone who is both not strong and not kind is both not ge... | Alice is not calm. | entailment | (![X]:((patient(X)<~>~brave(X))=>strong(X)))&
(![X]:((old(X)|~curious(X))<=>(~happy(X)|~brave(X))))&
(![X]:((~generous(X)&humble(X))<=>~patient(X)))&
(![X]:(~creative(X)=>(calm(X)<~>kind(X))))&
(![X]:((~strong(X)&~kind(X))<=>(~generous(X)&~kind(X))))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)|~funny(X)))))&
(((~patient(jo... | ~calm(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 543199257754364475533043
% SZS output start Proof for 543199257754364475533043
8. ! [X0] : ((~rich(X0) | calm(X0)) <=> ~calm(X0)) [input p7]
24. calm(alice) [input hypothesis]
51. ! [X0] : (((~rich(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (rich(X0) & ~calm(X0)))) [nnf transformation 8]
... | 0 |
If alice is rich then someone is old and vice versa.
Everyone who is either not quiet or happy is not tall and vice versa.
If someone is not curious or not calm then susan is both humble and not humble and vice versa.
Everyone who is happy or not happy is either not kind or not creative and vice versa.
Everyone who is ... | Susan is patient. | contradiction | ((rich(alice))<=>(?[X]:(old(X))))&
(![X]:((~quiet(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((~curious(X)|~calm(X))))<=>((humble(susan)&~humble(susan))))&
(![X]:((happy(X)|~happy(X))<=>(~kind(X)<~>~creative(X))))&
(![X]:((~funny(X)<~>generous(X))=>(~patient(X)|wise(X))))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((~calm(X)&hap... | patient(susan) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8151092845168377911109088
% SZS output start Proof for 8151092845168377911109088
3. ? [X0] : (~calm(X0) | ~curious(X0)) <=> (~humble(susan) & humble(susan)) [input p2]
5. ! [X0] : ((~funny(X0) <~> generous(X0)) => (wise(X0) | ~patient(X0))) [input p4]
6. ? [X0] : (~humble(X0) | wise(X0)) ... | 0 |
Everyone who is humble or tall is both humble and brave and vice versa.
Everyone who is not wise is both old and kind and vice versa.
If someone is humble then fred is either not tall or not strong.
If someone is both patient and not calm then alice is brave and vice versa.
If lucy is calm or not happy then someone is ... | Lucy is curious. | contradiction | (![X]:((humble(X)|tall(X))<=>(humble(X)&brave(X))))&
(![X]:(~wise(X)<=>(old(X)&kind(X))))&
((?[X]:(humble(X)))=>((~tall(fred)<~>~strong(fred))))&
((?[X]:((patient(X)&~calm(X))))<=>(brave(alice)))&
(((calm(lucy)|~happy(lucy)))<=>(?[X]:((~humble(X)&~tall(X)))))&
(![X]:((~wise(X)&happy(X))<=>(happy(X)<~>kind(X))))&
((?[X]... | curious(lucy) | [
"p0",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6244967927105825972480728
% SZS output start Proof for 6244967927105825972480728
1. ! [X0] : ((tall(X0) | humble(X0)) <=> (brave(X0) & humble(X0))) [input p0]
13. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> (brave(X0) | ~quiet(X0))) [input p12]
17. ~tall(lucy) <~> curious(lucy) [input p16]
23.... | 0 |
Everyone who is happy is not humble or curious.
If someone is both not creative and not strong then paul is wise and vice versa.
If someone is either not tall or old then someone is either not happy or old and vice versa.
Everyone who is either brave or calm is rich or generous and vice versa.
If alice is either genero... | John is not strong. | entailment | (![X]:(happy(X)=>(~humble(X)|curious(X))))&
((?[X]:((~creative(X)&~strong(X))))<=>(wise(paul)))&
((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((brave(X)<~>calm(X))<=>(rich(X)|generous(X))))&
(((generous(alice)<~>~generous(alice)))=>((brave(alice)&~kind(alice))))&
(![X]:((~tall(X)|wise(X))<=>(~r... | ~strong(john) | [
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4822227374976340828879698
% SZS output start Proof for 4822227374976340828879698
8. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (old(X0) | humble(X0))) [input p7]
15. ! [X0] : ((~funny(X0) | old(X0)) <=> ~strong(X0)) [input p14]
17. ~humble(john) & ~happy(john) [input p16]
24. strong(john) [i... | 0 |
If fred is either humble or not tall then someone is not kind or not wise. Everyone who is either tall or quiet is strong and vice versa. Everyone who is brave is both rich and not curious. Everyone who is both not calm and not quiet is not brave and vice versa. Everyone who is funny or creative is happy and vice versa... | Lucy is not tall. | neutral | (((humble(fred)<~>~tall(fred)))=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:((tall(X)<~>quiet(X))<=>strong(X)))&
(![X]:(brave(X)=>(rich(X)&~curious(X))))&
(![X]:((~calm(X)&~quiet(X))<=>~brave(X)))&
(![X]:((funny(X)|creative(X))<=>happy(X)))&
(((brave(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
((?[X]:(old(X)))=>((rich(susan)... | ~tall(lucy) | [] | null | 0 |
Everyone who is both brave and not patient is patient or not creative and vice versa. If lucy is not calm or happy then someone is both not wise and not generous and vice versa. Everyone who is humble or not generous is both not calm and not rich and vice versa. Everyone who is both generous and not quiet is both old a... | John is generous. | contradiction | (![X]:((brave(X)&~patient(X))<=>(patient(X)|~creative(X))))&
(((~calm(lucy)|happy(lucy)))<=>(?[X]:((~wise(X)&~generous(X)))))&
(![X]:((humble(X)|~generous(X))<=>(~calm(X)&~rich(X))))&
(![X]:((generous(X)&~quiet(X))<=>(old(X)&creative(X))))&
((curious(fred))=>(?[X]:(~brave(X))))&
((?[X]:((~creative(X)&rich(X))))<=>(?[X]... | generous(john) | [
"p0",
"p5",
"p12",
"p14",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1885473079647979939855946
% SZS output start Proof for 1885473079647979939855946
1. ! [X0] : ((~patient(X0) & brave(X0)) <=> (~creative(X0) | patient(X0))) [input p0]
6. ? [X0] : (rich(X0) & ~creative(X0)) <=> ? [X0] : (quiet(X0) & patient(X0)) [input p5]
13. ? [X0] : ~tall(X0) => brave(j... | 0 |
Everyone who is not funny or kind is tall.
If john is kind then alice is either not brave or not patient.
Everyone who is wise or not wise is rich.
Everyone who is both rich and not kind is both funny and strong and vice versa.
If someone is either tall or generous then someone is both not old and not wise.
Everyone wh... | Mary is not patient. | entailment | (![X]:((~funny(X)|kind(X))=>tall(X)))&
((kind(john))=>((~brave(alice)<~>~patient(alice))))&
(![X]:((wise(X)|~wise(X))=>rich(X)))&
(![X]:((rich(X)&~kind(X))<=>(funny(X)&strong(X))))&
((?[X]:((tall(X)<~>generous(X))))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~old(X)|~calm(X))=>(~tall(X)|creative(X))))&
(![X]:((~kind(X)<~>~... | ~patient(mary) | [
"p2",
"p3",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5776884799142317866144514
% SZS output start Proof for 5776884799142317866144514
3. ! [X0] : ((~wise(X0) | wise(X0)) => rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) & rich(X0)) <=> (strong(X0) & funny(X0))) [input p3]
9. ! [X0] : (~patient(X0) <=> (kind(X0) | ~funny(X0))) [input p8]
11. !... | 0 |
Everyone who is not tall or generous is not calm.
If fred is either generous or rich then susan is both old and kind.
Everyone who is humble is either not brave or not rich and vice versa.
Everyone who is generous or not funny is not old and vice versa.
If someone is rich or kind then alice is both curious and humble.
... | Alice is patient. | entailment | (![X]:((~tall(X)|generous(X))=>~calm(X)))&
(((generous(fred)<~>rich(fred)))=>((old(susan)&kind(susan))))&
(![X]:(humble(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((generous(X)|~funny(X))<=>~old(X)))&
((?[X]:((rich(X)|kind(X))))=>((curious(alice)&humble(alice))))&
(![X]:(strong(X)<=>(rich(X)&~old(X))))&
(((~curious(susan)|br... | patient(alice) | [
"p2",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1778080455864779805154772
% SZS output start Proof for 1778080455864779805154772
3. ! [X0] : (humble(X0) <=> (~brave(X0) <~> ~rich(X0))) [input p2]
5. ? [X0] : (kind(X0) | rich(X0)) => (humble(alice) & curious(alice)) [input p4]
11. ? [X0] : (~patient(X0) & ~brave(X0)) => (~generous(john)... | 0 |
Everyone who is brave is not strong.
Everyone who is either brave or not strong is either not funny or not tall and vice versa.
Everyone who is not calm or wise is both happy and not patient and vice versa.
Everyone who is both not brave and not tall is both quiet and strong.
Everyone who is patient is either brave or ... | Paul is patient. | neutral | (![X]:(brave(X)=>~strong(X)))&
(![X]:((brave(X)<~>~strong(X))<=>(~funny(X)<~>~tall(X))))&
(![X]:((~calm(X)|wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~brave(X)&~tall(X))=>(quiet(X)&strong(X))))&
(![X]:(patient(X)<=>(brave(X)<~>~wise(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((quiet(X)<~>~tall(X)))))&
((?[X]:(~patien... | patient(paul) | [] | null | 0 |
If someone is quiet then mary is not rich and vice versa.
Everyone who is either calm or rich is both funny and old.
If mary is both creative and wise then someone is either happy or rich.
If susan is kind or creative then susan is both brave and creative and vice versa.
Everyone who is both patient and calm is not old... | Susan is calm. | entailment | ((?[X]:(quiet(X)))<=>(~rich(mary)))&
(![X]:((calm(X)<~>rich(X))=>(funny(X)&old(X))))&
(((creative(mary)&wise(mary)))=>(?[X]:((happy(X)<~>rich(X)))))&
(((kind(susan)|creative(susan)))<=>((brave(susan)&creative(susan))))&
(![X]:((patient(X)&calm(X))=>~old(X)))&
(![X]:((~strong(X)<~>~wise(X))=>patient(X)))&
(((brave(mary)... | calm(susan) | [
"p1",
"p3",
"p5",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5376719794793796018918041
% SZS output start Proof for 5376719794793796018918041
2. ! [X0] : ((calm(X0) <~> rich(X0)) => (old(X0) & funny(X0))) [input p1]
4. (creative(susan) | kind(susan)) <=> (creative(susan) & brave(susan)) [input p3]
6. ! [X0] : ((~strong(X0) <~> ~wise(X0)) => patient... | 0 |
Everyone who is not quiet or strong is both happy and rich. Everyone who is funny is not old or not humble and vice versa. If mary is old or not creative then alice is strong or calm. If someone is humble or not calm then someone is humble and vice versa. If someone is either calm or wise then lucy is wise or humble an... | John is calm. | entailment | (![X]:((~quiet(X)|strong(X))=>(happy(X)&rich(X))))&
(![X]:(funny(X)<=>(~old(X)|~humble(X))))&
(((old(mary)|~creative(mary)))=>((strong(alice)|calm(alice))))&
((?[X]:((humble(X)|~calm(X))))<=>(?[X]:(humble(X))))&
((?[X]:((calm(X)<~>wise(X))))<=>((wise(lucy)|humble(lucy))))&
((~kind(john))<=>(?[X]:((happy(X)&~tall(X)))))... | calm(john) | [
"p0",
"p1",
"p8",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8876689609983893853625892
% SZS output start Proof for 8876689609983893853625892
1. ! [X0] : ((strong(X0) | ~quiet(X0)) => (rich(X0) & happy(X0))) [input p0]
2. ! [X0] : (funny(X0) <=> (~humble(X0) | ~old(X0))) [input p1]
9. ! [X0] : ((~curious(X0) <~> ~happy(X0)) <=> (humble(X0) <~> quie... | 0 |
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