premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is kind is either quiet or not happy.
If fred is either wise or creative then alice is strong and vice versa.
If lucy is either not rich or brave then someone is not tall and vice versa.
Everyone who is wise or not patient is either strong or not humble.
If someone is either not creative or creative then s... | Susan is curious. | contradiction | (![X]:(kind(X)=>(quiet(X)<~>~happy(X))))&
(((wise(fred)<~>creative(fred)))<=>(strong(alice)))&
(((~rich(lucy)<~>brave(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((wise(X)|~patient(X))=>(strong(X)<~>~humble(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((old(X)&~funny(X)))))&
(![X]:((~happy(X)<~>~wise(X))<=>(~quiet(X)|~... | curious(susan) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6774544419215749024376209
% SZS output start Proof for 6774544419215749024376209
6. ! [X0] : ((~happy(X0) <~> ~wise(X0)) <=> (~tall(X0) | ~quiet(X0))) [input p5]
7. ? [X0] : (~brave(X0) <~> happy(X0)) => (~rich(paul) & rich(paul)) [input p6]
8. ! [X0] : ((generous(X0) | calm(X0)) <=> (~br... | 0 |
If someone is both not humble and kind then someone is both calm and patient and vice versa. Everyone who is both generous and not funny is both strong and not tall. If someone is rich or creative then someone is both quiet and curious. If someone is not patient or patient then john is old or calm. Everyone who is eith... | Paul is not calm. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((generous(X)&~funny(X))=>(strong(X)&~tall(X))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((quiet(X)&curious(X)))))&
((?[X]:((~patient(X)|patient(X))))=>((old(john)|calm(john))))&
(![X]:((tall(X)<~>~generous(X))<=>(patient(X)<~>wise(X))))&
((?[X]:(~c... | ~calm(paul) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7885612838871835812134425
% SZS output start Proof for 7885612838871835812134425
2. ! [X0] : ((~funny(X0) & generous(X0)) => (~tall(X0) & strong(X0))) [input p1]
3. ? [X0] : (creative(X0) | rich(X0)) => ? [X0] : (curious(X0) & quiet(X0)) [input p2]
8. ! [X0] : ((~funny(X0) & ~generous(X0)... | 0 |
If paul is patient then someone is not curious or patient and vice versa. If susan is funny then lucy is either calm or kind and vice versa. If someone is wise or tall then someone is not strong. Everyone who is not patient is creative or not creative and vice versa. If lucy is old then fred is not old or creative and ... | Susan is not creative. | contradiction | ((patient(paul))<=>(?[X]:((~curious(X)|patient(X)))))&
((funny(susan))<=>((calm(lucy)<~>kind(lucy))))&
((?[X]:((wise(X)|tall(X))))=>(?[X]:(~strong(X))))&
(![X]:(~patient(X)<=>(creative(X)|~creative(X))))&
((old(lucy))<=>((~old(fred)|creative(fred))))&
((?[X]:(funny(X)))=>(?[X]:(kind(X))))&
(((~wise(susan)<~>~brave(susa... | ~creative(susan) | [
"p3",
"p7",
"p8",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7301040987091912879756323
% SZS output start Proof for 7301040987091912879756323
4. ! [X0] : (~patient(X0) <=> (~creative(X0) | creative(X0))) [input p3]
8. ! [X0] : ((~generous(X0) | happy(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) => (~generou... | 0 |
If susan is either rich or not rich then lucy is both humble and not calm and vice versa. If fred is both not tall and not rich then someone is both not funny and quiet. If someone is either not brave or brave then someone is both not happy and not curious and vice versa. If someone is not generous or not curious then ... | Fred is tall. | entailment | (((rich(susan)<~>~rich(susan)))<=>((humble(lucy)&~calm(lucy))))&
(((~tall(fred)&~rich(fred)))=>(?[X]:((~funny(X)&quiet(X)))))&
((?[X]:((~brave(X)<~>brave(X))))<=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:((~generous(X)|~curious(X))))=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)|creative(X))=>(happy(X)|~humble(X))))&
(... | tall(fred) | [
"p1",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7834882857354387441353319
% SZS output start Proof for 7834882857354387441353319
2. (~rich(fred) & ~tall(fred)) => ? [X0] : (quiet(X0) & ~funny(X0)) [input p1]
6. ! [X0] : ((wise(X0) <~> ~rich(X0)) <=> (quiet(X0) | ~tall(X0))) [input p5]
8. ! [X0] : (~kind(X0) <=> (~wise(X0) & old(X0))) [... | 0 |
Everyone who is either brave or patient is calm and vice versa.
Everyone who is both old and kind is either not quiet or not calm and vice versa.
If someone is strong then john is curious and vice versa.
Everyone who is not tall or tall is old or not quiet.
Everyone who is generous or patient is both wise and quiet.
Ev... | Susan is not quiet. | neutral | (![X]:((brave(X)<~>patient(X))<=>calm(X)))&
(![X]:((old(X)&kind(X))<=>(~quiet(X)<~>~calm(X))))&
((?[X]:(strong(X)))<=>(curious(john)))&
(![X]:((~tall(X)|tall(X))=>(old(X)|~quiet(X))))&
(![X]:((generous(X)|patient(X))=>(wise(X)&quiet(X))))&
(![X]:((strong(X)<~>~brave(X))=>(brave(X)<~>~patient(X))))&
(((~strong(fred)&old... | ~quiet(susan) | [] | null | 0 |
Everyone who is funny or brave is humble and vice versa.
Everyone who is either not old or tall is both not quiet and wise and vice versa.
Everyone who is both not brave and curious is either not strong or creative.
Everyone who is either brave or wise is rich or not funny.
If someone is either not kind or not wise the... | Mary is generous. | neutral | (![X]:((funny(X)|brave(X))<=>humble(X)))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~brave(X)&curious(X))=>(~strong(X)<~>creative(X))))&
(![X]:((brave(X)<~>wise(X))=>(rich(X)|~funny(X))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))... | generous(mary) | [] | null | 0 |
Everyone who is not tall or kind is rich or curious and vice versa.
If susan is both not patient and not rich then fred is kind and vice versa.
If paul is not rich then someone is either not quiet or not wise and vice versa.
Everyone who is both calm and rich is either not old or not patient and vice versa.
Everyone wh... | John is not wise. | contradiction | (![X]:((~tall(X)|kind(X))<=>(rich(X)|curious(X))))&
(((~patient(susan)&~rich(susan)))<=>(kind(fred)))&
((~rich(paul))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(happy(X)=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((brave(lucy)&~humble(lucy))))&
... | ~wise(john) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 471082214229604509671630
% SZS output start Proof for 471082214229604509671630
1. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (curious(X0) | rich(X0))) [input p0]
3. ~rich(paul) <=> ? [X0] : (~quiet(X0) <~> ~wise(X0)) [input p2]
5. ! [X0] : (happy(X0) => (~quiet(X0) <~> ~tall(X0))) [input p4]
6.... | 0 |
If someone is both not happy and not strong then someone is not kind. If fred is not generous or creative then fred is either not old or tall. Everyone who is quiet is not brave or curious and vice versa. Everyone who is not funny or creative is both not old and not curious and vice versa. If someone is either not old ... | Lucy is brave. | contradiction | ((?[X]:((~happy(X)&~strong(X))))=>(?[X]:(~kind(X))))&
(((~generous(fred)|creative(fred)))=>((~old(fred)<~>tall(fred))))&
(![X]:(quiet(X)<=>(~brave(X)|curious(X))))&
(![X]:((~funny(X)|creative(X))<=>(~old(X)&~curious(X))))&
((?[X]:((~old(X)<~>strong(X))))=>(?[X]:((~kind(X)&~generous(X)))))&
(![X]:(brave(X)<=>(~funny(X)&... | brave(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3792488295772033899613447
% SZS output start Proof for 3792488295772033899613447
6. ! [X0] : (brave(X0) <=> (~brave(X0) & ~funny(X0))) [input p5]
23. brave(lucy) [input hypothesis]
51. ! [X0] : ((brave(X0) | (brave(X0) | funny(X0))) & ((~brave(X0) & ~funny(X0)) | ~brave(X0))) [nnf transfo... | 0 |
If alice is quiet or brave then mary is tall or not generous and vice versa. Everyone who is both not happy and funny is both not kind and brave and vice versa. If john is both not curious and not patient then someone is both not calm and not strong and vice versa. If lucy is creative then someone is not curious or not... | Alice is humble. | neutral | (((quiet(alice)|brave(alice)))<=>((tall(mary)|~generous(mary))))&
(![X]:((~happy(X)&funny(X))<=>(~kind(X)&brave(X))))&
(((~curious(john)&~patient(john)))<=>(?[X]:((~calm(X)&~strong(X)))))&
((creative(lucy))<=>(?[X]:((~curious(X)|~generous(X)))))&
(![X]:((curious(X)&~brave(X))<=>(wise(X)&~happy(X))))&
((strong(fred))=>(... | humble(alice) | [] | null | 0 |
If someone is both old and rich then someone is either not funny or not humble and vice versa. If someone is generous then susan is not strong or not quiet and vice versa. Everyone who is happy is not creative or creative. If someone is both wise and not brave then paul is both not patient and strong and vice versa. If... | Lucy is not creative. | neutral | ((?[X]:((old(X)&rich(X))))<=>(?[X]:((~funny(X)<~>~humble(X)))))&
((?[X]:(generous(X)))<=>((~strong(susan)|~quiet(susan))))&
(![X]:(happy(X)=>(~creative(X)|creative(X))))&
((?[X]:((wise(X)&~brave(X))))<=>((~patient(paul)&strong(paul))))&
((?[X]:((calm(X)<~>~rich(X))))=>(?[X]:((humble(X)&curious(X)))))&
(![X]:((~old(X)<~... | ~creative(lucy) | [] | null | 0 |
Everyone who is brave or not generous is not brave and vice versa. If someone is not happy then someone is both not creative and rich and vice versa. Everyone who is rich is both funny and not curious and vice versa. If susan is either humble or not curious then lucy is not rich or old and vice versa. If someone is not... | Lucy is wise. | neutral | (![X]:((brave(X)|~generous(X))<=>~brave(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:(rich(X)<=>(funny(X)&~curious(X))))&
(((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old... | wise(lucy) | [] | null | 0 |
If john is either not rich or not curious then alice is not strong or not humble and vice versa. If someone is either not old or brave then someone is not quiet or rich. If someone is creative or kind then someone is both not rich and not creative. If fred is either humble or funny then paul is brave or funny. Everyone... | John is not funny. | contradiction | (((~rich(john)<~>~curious(john)))<=>((~strong(alice)|~humble(alice))))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~quiet(X)|rich(X)))))&
((?[X]:((creative(X)|kind(X))))=>(?[X]:((~rich(X)&~creative(X)))))&
(((humble(fred)<~>funny(fred)))=>((brave(paul)|funny(paul))))&
(![X]:((~funny(X)<~>~generous(X))<=>(~humble(X)&strong... | ~funny(john) | [
"p4",
"p6",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4528750253348185362552347
% SZS output start Proof for 4528750253348185362552347
5. ! [X0] : ((~funny(X0) <~> ~generous(X0)) <=> (strong(X0) & ~humble(X0))) [input p4]
7. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> rich(X0)) [input p6]
9. ! [X0] : ((old(X0) <~> rich(X0)) => ~brave(X0)) [inpu... | 0 |
Everyone who is both strong and not happy is either wise or not old and vice versa. Everyone who is both not tall and generous is generous and vice versa. If someone is either not quiet or not patient then alice is not creative and vice versa. Everyone who is not generous is both not patient and not humble. Everyone wh... | Fred is not tall. | entailment | (![X]:((strong(X)&~happy(X))<=>(wise(X)<~>~old(X))))&
(![X]:((~tall(X)&generous(X))<=>generous(X)))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(~creative(alice)))&
(![X]:(~generous(X)=>(~patient(X)&~humble(X))))&
(![X]:((~funny(X)&funny(X))<=>(~patient(X)&patient(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~tall(X)<~>rich(X))))&
... | ~tall(fred) | [
"p1",
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8823112419491018005874434
% SZS output start Proof for 8823112419491018005874434
2. ! [X0] : ((generous(X0) & ~tall(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : (~generous(X0) => (~humble(X0) & ~patient(X0))) [input p3]
8. ! [X0] : ((~creative(X0) & generous(X0)) <=> (~funny(X0) | rich(X... | 0 |
Everyone who is either quiet or not calm is not tall or not humble and vice versa.
Everyone who is not patient or calm is not happy or old.
Everyone who is both brave and old is not brave.
If lucy is either not happy or not rich then alice is wise or calm.
If paul is either not funny or not curious then someone is not ... | Mary is not humble. | entailment | (![X]:((quiet(X)<~>~calm(X))<=>(~tall(X)|~humble(X))))&
(![X]:((~patient(X)|calm(X))=>(~happy(X)|old(X))))&
(![X]:((brave(X)&old(X))=>~brave(X)))&
(((~happy(lucy)<~>~rich(lucy)))=>((wise(alice)|calm(alice))))&
(((~funny(paul)<~>~curious(paul)))=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:(strong(X)=>~curious(X)))&
(((~gene... | ~humble(mary) | [
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6063991269089268189909725
% SZS output start Proof for 6063991269089268189909725
18. ~rich(mary) [input p17]
23. humble(mary) <~> ~rich(mary) [input p22]
24. humble(mary) [input hypothesis]
73. (rich(mary) | ~humble(mary)) & (~rich(mary) | humble(mary)) [nnf transformation 23]
122. ~rich(... | 0 |
If someone is both not quiet and not calm then someone is humble and vice versa.
If someone is patient or not old then someone is rich.
If someone is not kind then someone is both not happy and not old.
Everyone who is patient or not quiet is both humble and wise.
Everyone who is not rich or not generous is either not ... | Lucy is not creative. | neutral | ((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:(humble(X))))&
((?[X]:((patient(X)|~old(X))))=>(?[X]:(rich(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:((patient(X)|~quiet(X))=>(humble(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~funny(X)<~>happy(X))))&
(![X]:((~creative(X)|funny(X))<=>(happy(X)&~patient(... | ~creative(lucy) | [] | null | 0 |
Everyone who is either strong or generous is not strong and vice versa.
Everyone who is either not funny or not old is either not quiet or not wise and vice versa.
Everyone who is not wise is either old or not tall and vice versa.
If someone is either not happy or not generous then fred is not rich or calm and vice ver... | John is funny. | neutral | (![X]:((strong(X)<~>generous(X))<=>~strong(X)))&
(![X]:((~funny(X)<~>~old(X))<=>(~quiet(X)<~>~wise(X))))&
(![X]:(~wise(X)<=>(old(X)<~>~tall(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~rich(fred)|calm(fred))))&
((?[X]:((~rich(X)<~>wise(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((tall(john)&old(john)))<=>(?[X]:(pati... | funny(john) | [] | null | 0 |
If someone is calm then someone is brave or not brave and vice versa. If lucy is either kind or not strong then paul is curious or quiet. If fred is funny then someone is either quiet or not old and vice versa. If someone is wise then john is both curious and quiet and vice versa. Everyone who is calm is funny or brave... | Alice is not rich. | contradiction | ((?[X]:(calm(X)))<=>(?[X]:((brave(X)|~brave(X)))))&
(((kind(lucy)<~>~strong(lucy)))=>((curious(paul)|quiet(paul))))&
((funny(fred))<=>(?[X]:((quiet(X)<~>~old(X)))))&
((?[X]:(wise(X)))<=>((curious(john)&quiet(john))))&
(![X]:(calm(X)<=>(funny(X)|brave(X))))&
(![X]:((rich(X)&patient(X))<=>(wise(X)|curious(X))))&
(![X]:((... | ~rich(alice) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5170725943067674466157402
% SZS output start Proof for 5170725943067674466157402
6. ! [X0] : ((patient(X0) & rich(X0)) <=> (curious(X0) | wise(X0))) [input p5]
21. curious(alice) & ~strong(alice) [input p20]
25. ~rich(alice) [input hypothesis]
50. ! [X0] : (((patient(X0) & rich(X0)) | (~c... | 0 |
Everyone who is either not strong or curious is either not rich or funny.
Everyone who is both not brave and not happy is both kind and not creative and vice versa.
If someone is not generous or not quiet then someone is not brave and vice versa.
Everyone who is not old or old is not happy.
Everyone who is both tall an... | John is not calm. | contradiction | (![X]:((~strong(X)<~>curious(X))=>(~rich(X)<~>funny(X))))&
(![X]:((~brave(X)&~happy(X))<=>(kind(X)&~creative(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|old(X))=>~happy(X)))&
(![X]:((tall(X)&calm(X))<=>generous(X)))&
(![X]:(~strong(X)<=>(~brave(X)|~tall(X))))&
((?[X]:((~old(X)<~>pat... | ~calm(john) | [
"p2",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6674429712255856785337887
% SZS output start Proof for 6674429712255856785337887
3. ? [X0] : (~quiet(X0) | ~generous(X0)) <=> ? [X0] : ~brave(X0) [input p2]
5. ! [X0] : ((calm(X0) & tall(X0)) <=> generous(X0)) [input p4]
6. ! [X0] : (~strong(X0) <=> (~tall(X0) | ~brave(X0))) [input p5]
11... | 0 |
If someone is both kind and old then someone is not quiet. Everyone who is either calm or not creative is not calm or brave. If someone is either happy or not funny then someone is both brave and not brave and vice versa. Everyone who is not kind is not patient. If john is either generous or old then someone is not fun... | Susan is creative. | neutral | ((?[X]:((kind(X)&old(X))))=>(?[X]:(~quiet(X))))&
(![X]:((calm(X)<~>~creative(X))=>(~calm(X)|brave(X))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:(~kind(X)=>~patient(X)))&
(((generous(john)<~>old(john)))=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)&curious(X))=>(wise(X)&funny(X))))&
(![X]:(... | creative(susan) | [] | null | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Paul is brave. | entailment | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | brave(paul) | [
"p0",
"p5",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3074234277534720773666
% SZS output start Proof for 3074234277534720773666
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
6. (~funny(paul) <~> ~kind(paul)) => (~creative(paul) | rich(paul)) [input p5]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(... | 0 |
If someone is either not old or not quiet then mary is quiet. Everyone who is both not tall and tall is creative and vice versa. If someone is both not wise and humble then paul is old or not strong. If mary is both calm and not generous then someone is happy and vice versa. Everyone who is not calm or humble is both c... | Paul is not strong. | contradiction | ((?[X]:((~old(X)<~>~quiet(X))))=>(quiet(mary)))&
(![X]:((~tall(X)&tall(X))<=>creative(X)))&
((?[X]:((~wise(X)&humble(X))))=>((old(paul)|~strong(paul))))&
(((calm(mary)&~generous(mary)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|humble(X))=>(creative(X)&rich(X))))&
(![X]:((old(X)<~>~creative(X))<=>(~creative(X)&strong(X)))... | ~strong(paul) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1653654328641347179291965
% SZS output start Proof for 1653654328641347179291965
2. ! [X0] : ((tall(X0) & ~tall(X0)) <=> creative(X0)) [input p1]
5. ! [X0] : ((humble(X0) | ~calm(X0)) => (rich(X0) & creative(X0))) [input p4]
6. ! [X0] : ((old(X0) <~> ~creative(X0)) <=> (strong(X0) & ~crea... | 0 |
If someone is either funny or not creative then someone is both not happy and not tall and vice versa.
Everyone who is both not happy and happy is tall.
If alice is patient or not old then susan is not tall and vice versa.
If alice is strong then someone is not rich and vice versa.
If john is not curious or calm then f... | Alice is not old. | contradiction | ((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~happy(X)&~tall(X)))))&
(![X]:((~happy(X)&happy(X))=>tall(X)))&
(((patient(alice)|~old(alice)))<=>(~tall(susan)))&
((strong(alice))<=>(?[X]:(~rich(X))))&
(((~curious(john)|calm(john)))<=>((~tall(fred)|~happy(fred))))&
(((strong(mary)<~>~wise(mary)))=>((~brave(susan)&~tall(s... | ~old(alice) | [
"p13",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1405070271539083719494715
% SZS output start Proof for 1405070271539083719494715
14. ? [X0] : ~old(X0) <=> (kind(paul) | ~wise(paul)) [input p13]
19. kind(paul) <~> wise(paul) [input p18]
24. wise(paul) [input p23]
25. ~old(alice) [input hypothesis]
62. (? [X0] : ~old(X0) | (~kind(paul) &... | 0 |
If lucy is either not humble or not quiet then someone is both not humble and not funny.
If alice is either calm or not brave then fred is not brave and vice versa.
Everyone who is either not wise or not tall is strong and vice versa.
If someone is not rich or not patient then someone is not funny.
If john is not calm ... | Alice is brave. | neutral | (((~humble(lucy)<~>~quiet(lucy)))=>(?[X]:((~humble(X)&~funny(X)))))&
(((calm(alice)<~>~brave(alice)))<=>(~brave(fred)))&
(![X]:((~wise(X)<~>~tall(X))<=>strong(X)))&
((?[X]:((~rich(X)|~patient(X))))=>(?[X]:(~funny(X))))&
((~calm(john))=>(?[X]:(~kind(X))))&
(![X]:((wise(X)<~>old(X))<=>(~calm(X)<~>~old(X))))&
(![X]:(creat... | brave(alice) | [] | null | 0 |
Everyone who is creative or happy is either humble or patient. Everyone who is either brave or curious is not tall. Everyone who is both not funny and not curious is not rich or not wise and vice versa. Everyone who is either strong or not patient is not wise and vice versa. Everyone who is not old is both kind and str... | Paul is not wise. | contradiction | (![X]:((creative(X)|happy(X))=>(humble(X)<~>patient(X))))&
(![X]:((brave(X)<~>curious(X))=>~tall(X)))&
(![X]:((~funny(X)&~curious(X))<=>(~rich(X)|~wise(X))))&
(![X]:((strong(X)<~>~patient(X))<=>~wise(X)))&
(![X]:(~old(X)=>(kind(X)&strong(X))))&
((?[X]:((~brave(X)|~calm(X))))=>(?[X]:((~brave(X)&~calm(X)))))&
((~old(susa... | ~wise(paul) | [
"p3",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3792908840280346919214987
% SZS output start Proof for 3792908840280346919214987
4. ! [X0] : ((strong(X0) <~> ~patient(X0)) <=> ~wise(X0)) [input p3]
9. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~calm(X0)) [input p8]
20. ~calm(paul) <~> ~strong(paul) [input p19]
25. ~wise(paul) [input hy... | 0 |
Everyone who is either rich or not curious is both not wise and not kind.
Everyone who is either not old or wise is both strong and brave and vice versa.
Everyone who is not quiet is both kind and not patient and vice versa.
If someone is both humble and not rich then someone is both rich and not creative and vice vers... | Fred is not calm. | neutral | (![X]:((rich(X)<~>~curious(X))=>(~wise(X)&~kind(X))))&
(![X]:((~old(X)<~>wise(X))<=>(strong(X)&brave(X))))&
(![X]:(~quiet(X)<=>(kind(X)&~patient(X))))&
((?[X]:((humble(X)&~rich(X))))<=>(?[X]:((rich(X)&~creative(X)))))&
(![X]:((old(X)|quiet(X))=>~brave(X)))&
(((happy(fred)<~>strong(fred)))<=>((~calm(john)<~>~wise(john))... | ~calm(fred) | [] | null | 0 |
Everyone who is both brave and rich is both not strong and tall and vice versa.
If alice is calm then mary is either not wise or patient and vice versa.
Everyone who is not curious or not old is both not wise and creative and vice versa.
Everyone who is either not strong or not rich is rich and vice versa.
If mary is n... | John is not quiet. | contradiction | (![X]:((brave(X)&rich(X))<=>(~strong(X)&tall(X))))&
((calm(alice))<=>((~wise(mary)<~>patient(mary))))&
(![X]:((~curious(X)|~old(X))<=>(~wise(X)&creative(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>rich(X)))&
(((~kind(mary)|kind(mary)))<=>((~strong(mary)&creative(mary))))&
((?[X]:((~old(X)&~generous(X))))<=>((curious(alice)... | ~quiet(john) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p9",
"p11",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5862536108333929708929330
% SZS output start Proof for 5862536108333929708929330
1. ! [X0] : ((rich(X0) & brave(X0)) <=> (tall(X0) & ~strong(X0))) [input p0]
3. ! [X0] : ((~old(X0) | ~curious(X0)) <=> (creative(X0) & ~wise(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> rich... | 0 |
Everyone who is both strong and generous is wise or not humble and vice versa.
If someone is either rich or not calm then someone is either not quiet or generous.
If lucy is not curious or strong then john is both not patient and quiet and vice versa.
Everyone who is not brave is both wise and not kind and vice versa.
... | Lucy is wise. | contradiction | (![X]:((strong(X)&generous(X))<=>(wise(X)|~humble(X))))&
((?[X]:((rich(X)<~>~calm(X))))=>(?[X]:((~quiet(X)<~>generous(X)))))&
(((~curious(lucy)|strong(lucy)))<=>((~patient(john)&quiet(john))))&
(![X]:(~brave(X)<=>(wise(X)&~kind(X))))&
(((creative(mary)|~kind(mary)))<=>((~creative(paul)&curious(paul))))&
((?[X]:((tall(X... | wise(lucy) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 244111862166631560508725
% SZS output start Proof for 244111862166631560508725
1. ! [X0] : ((generous(X0) & strong(X0)) <=> (~humble(X0) | wise(X0))) [input p0]
3. (strong(lucy) | ~curious(lucy)) <=> (quiet(john) & ~patient(john)) [input p2]
10. ! [X0] : ((strong(X0) <~> ~strong(X0)) => ~... | 0 |
If someone is either not generous or not creative then someone is not funny.
Everyone who is either not funny or quiet is happy.
Everyone who is not rich is not humble.
If john is either not strong or not humble then someone is either not brave or strong.
If someone is humble then someone is funny and vice versa.
If so... | Mary is not kind. | neutral | ((?[X]:((~generous(X)<~>~creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~funny(X)<~>quiet(X))=>happy(X)))&
(![X]:(~rich(X)=>~humble(X)))&
(((~strong(john)<~>~humble(john)))=>(?[X]:((~brave(X)<~>strong(X)))))&
((?[X]:(humble(X)))<=>(?[X]:(funny(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~funny(X)&~curious(X)))))&
(![X]:((old(X)... | ~kind(mary) | [] | null | 0 |
Everyone who is either not quiet or not rich is wise or old.
If someone is quiet then someone is both not quiet and not tall and vice versa.
Everyone who is both funny and curious is either not wise or patient and vice versa.
Everyone who is not humble or creative is not patient and vice versa.
Everyone who is either q... | Alice is not creative. | contradiction | (![X]:((~quiet(X)<~>~rich(X))=>(wise(X)|old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~quiet(X)&~tall(X)))))&
(![X]:((funny(X)&curious(X))<=>(~wise(X)<~>patient(X))))&
(![X]:((~humble(X)|creative(X))<=>~patient(X)))&
(![X]:((quiet(X)<~>~wise(X))<=>(funny(X)&~creative(X))))&
(![X]:((~generous(X)|~tall(X))<=>(quiet(X)<~>~stron... | ~creative(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5501814288076785123220306
% SZS output start Proof for 5501814288076785123220306
12. ? [X0] : (~creative(X0) | curious(X0)) <=> creative(alice) [input p11]
24. ~creative(alice) [input hypothesis]
57. (? [X0] : (~creative(X0) | curious(X0)) | ~creative(alice)) & (creative(alice) | ! [X0] :... | 0 |
Everyone who is either not creative or kind is both kind and creative and vice versa.
If someone is both brave and patient then someone is either not curious or not rich and vice versa.
If someone is tall then fred is not curious and vice versa.
Everyone who is both quiet and not patient is funny.
Everyone who is eithe... | John is not humble. | entailment | (![X]:((~creative(X)<~>kind(X))<=>(kind(X)&creative(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((~curious(X)<~>~rich(X)))))&
((?[X]:(tall(X)))<=>(~curious(fred)))&
(![X]:((quiet(X)&~patient(X))=>funny(X)))&
(![X]:((~kind(X)<~>~creative(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(tall(alice)))... | ~humble(john) | [
"p0",
"p4",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1563034462349248703114849
% SZS output start Proof for 1563034462349248703114849
1. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (creative(X0) & kind(X0))) [input p0]
5. ! [X0] : ((~kind(X0) <~> ~creative(X0)) <=> (kind(X0) <~> generous(X0))) [input p4]
11. ? [X0] : ~rich(X0) <=> ? [X0] : (... | 0 |
If fred is not tall or curious then alice is both not happy and not old and vice versa.
If alice is not creative then someone is not creative and vice versa.
If someone is both not curious and old then someone is either patient or not quiet and vice versa.
If someone is both not rich and funny then paul is humble or ki... | Alice is strong. | entailment | (((~tall(fred)|curious(fred)))<=>((~happy(alice)&~old(alice))))&
((~creative(alice))<=>(?[X]:(~creative(X))))&
((?[X]:((~curious(X)&old(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:((~rich(X)&funny(X))))<=>((humble(paul)|kind(paul))))&
((?[X]:((~brave(X)<~>~tall(X))))<=>(?[X]:((~generous(X)&patient(X)))))&
((?[X]... | strong(alice) | [
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4216178676725839732549450
% SZS output start Proof for 4216178676725839732549450
17. wise(alice) <~> ~strong(alice) [input p16]
18. ~old(alice) & wise(alice) [input p17]
25. ~strong(alice) [input hypothesis]
77. (strong(alice) | ~wise(alice)) & (~strong(alice) | wise(alice)) [nnf transfor... | 0 |
Everyone who is happy is not creative.
Everyone who is either wise or strong is brave or humble.
If someone is both not humble and wise then alice is brave or strong and vice versa.
Everyone who is both not humble and generous is either not old or not kind and vice versa.
If fred is both not quiet and brave then mary i... | Alice is strong. | neutral | (![X]:(happy(X)=>~creative(X)))&
(![X]:((wise(X)<~>strong(X))=>(brave(X)|humble(X))))&
((?[X]:((~humble(X)&wise(X))))<=>((brave(alice)|strong(alice))))&
(![X]:((~humble(X)&generous(X))<=>(~old(X)<~>~kind(X))))&
(((~quiet(fred)&brave(fred)))<=>(~quiet(mary)))&
(![X]:(calm(X)=>~generous(X)))&
((?[X]:((~happy(X)&~kind(X))... | strong(alice) | [] | null | 0 |
Everyone who is wise or not strong is either patient or not wise.
Everyone who is either not funny or calm is either kind or not generous and vice versa.
Everyone who is both calm and not brave is both not humble and happy.
Everyone who is not humble is both not tall and old and vice versa.
Everyone who is not calm or ... | Mary is not creative. | neutral | (![X]:((wise(X)|~strong(X))=>(patient(X)<~>~wise(X))))&
(![X]:((~funny(X)<~>calm(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((calm(X)&~brave(X))=>(~humble(X)&happy(X))))&
(![X]:(~humble(X)<=>(~tall(X)&old(X))))&
(![X]:((~calm(X)|~rich(X))=>(~humble(X)&~funny(X))))&
((~generous(mary))<=>((kind(mary)|wise(mary))))&
(((~crea... | ~creative(mary) | [] | null | 0 |
Everyone who is both not wise and strong is not quiet and vice versa.
If someone is both old and calm then someone is not creative and vice versa.
If susan is patient then someone is not old and vice versa.
If alice is generous or not humble then john is either patient or creative.
Everyone who is not humble is either ... | Susan is calm. | neutral | (![X]:((~wise(X)&strong(X))<=>~quiet(X)))&
((?[X]:((old(X)&calm(X))))<=>(?[X]:(~creative(X))))&
((patient(susan))<=>(?[X]:(~old(X))))&
(((generous(alice)|~humble(alice)))=>((patient(john)<~>creative(john))))&
(![X]:(~humble(X)=>(wise(X)<~>~funny(X))))&
(![X]:((~kind(X)|generous(X))=>(happy(X)|brave(X))))&
(![X]:((~quie... | calm(susan) | [] | null | 0 |
Everyone who is both not funny and not old is strong and vice versa. Everyone who is either not rich or not generous is not old and vice versa. If fred is both not humble and quiet then fred is not funny or generous and vice versa. Everyone who is strong or wise is not tall or humble. If someone is either quiet or kind... | Alice is quiet. | entailment | (![X]:((~funny(X)&~old(X))<=>strong(X)))&
(![X]:((~rich(X)<~>~generous(X))<=>~old(X)))&
(((~humble(fred)&quiet(fred)))<=>((~funny(fred)|generous(fred))))&
(![X]:((strong(X)|wise(X))=>(~tall(X)|humble(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>(?[X]:((curious(X)<~>~curious(X)))))&
(![X]:(~brave(X)=>quiet(X)))&
(![X]:(happy... | quiet(alice) | [
"p0",
"p1",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8800626789627525396334783
% SZS output start Proof for 8800626789627525396334783
1. ! [X0] : ((~old(X0) & ~funny(X0)) <=> strong(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> ~generous(X0)) <=> ~old(X0)) [input p1]
10. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (patient(X0) | humble(X0))) [input ... | 0 |
Everyone who is creative or funny is not tall and vice versa. Everyone who is not kind or calm is either not patient or not creative. If fred is not quiet or generous then someone is old or not curious. If someone is both strong and not patient then someone is rich or patient and vice versa. Everyone who is both humble... | Paul is patient. | neutral | (![X]:((creative(X)|funny(X))<=>~tall(X)))&
(![X]:((~kind(X)|calm(X))=>(~patient(X)<~>~creative(X))))&
(((~quiet(fred)|generous(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((strong(X)&~patient(X))))<=>(?[X]:((rich(X)|patient(X)))))&
(![X]:((humble(X)&old(X))<=>(brave(X)&~generous(X))))&
(((~generous(paul)&brave(pau... | patient(paul) | [] | null | 0 |
If someone is either calm or quiet then mary is curious or not creative. Everyone who is both not patient and not rich is both tall and creative. If john is not happy then someone is happy and vice versa. Everyone who is both creative and wise is not funny or strong and vice versa. Everyone who is both patient and not ... | Paul is not generous. | neutral | ((?[X]:((calm(X)<~>quiet(X))))=>((curious(mary)|~creative(mary))))&
(![X]:((~patient(X)&~rich(X))=>(tall(X)&creative(X))))&
((~happy(john))<=>(?[X]:(happy(X))))&
(![X]:((creative(X)&wise(X))<=>(~funny(X)|strong(X))))&
(![X]:((patient(X)&~humble(X))<=>humble(X)))&
(![X]:((creative(X)<~>brave(X))<=>(rich(X)<~>~happy(X)))... | ~generous(paul) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is both quiet and brave is both not funny and not old and vice versa.
Everyone who is either not brave or rich is not brave.
If someone is either quiet or not calm then someone is both brave and not old and vice versa... | Alice is funny. | neutral | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((quiet(X)&brave(X))<=>(~funny(X)&~old(X))))&
(![X]:((~brave(X)<~>rich(X))=>~brave(X)))&
((?[X]:((quiet(X)<~>~calm(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(((strong(lucy)<~>tall(lucy)))<=>(?[X]:(strong(X))))&
(![X]:((~creative(X)&~happy(X))<=>(tall(X)<~>strong(X... | funny(alice) | [] | null | 0 |
Everyone who is not tall is generous and vice versa.
Everyone who is both not curious and happy is either not old or humble and vice versa.
Everyone who is both curious and happy is both patient and generous.
If someone is not rich then someone is either calm or happy.
Everyone who is quiet or strong is both kind and c... | Mary is creative. | contradiction | (![X]:(~tall(X)<=>generous(X)))&
(![X]:((~curious(X)&happy(X))<=>(~old(X)<~>humble(X))))&
(![X]:((curious(X)&happy(X))=>(patient(X)&generous(X))))&
((?[X]:(~rich(X)))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((quiet(X)|strong(X))<=>(kind(X)&curious(X))))&
(![X]:((patient(X)|~brave(X))=>(~creative(X)|old(X))))&
(((~humble... | creative(mary) | [
"p0",
"p1",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5694119944609898368297831
% SZS output start Proof for 5694119944609898368297831
1. ! [X0] : (~tall(X0) <=> generous(X0)) [input p0]
2. ! [X0] : ((happy(X0) & ~curious(X0)) <=> (~old(X0) <~> humble(X0))) [input p1]
6. ! [X0] : ((~brave(X0) | patient(X0)) => (old(X0) | ~creative(X0))) [inp... | 0 |
Everyone who is both not curious and curious is either patient or not calm and vice versa. If paul is both not wise and not brave then someone is kind or not creative and vice versa. Everyone who is both calm and patient is not calm or funny. If someone is both old and not curious then someone is either not funny or no... | Alice is not quiet. | entailment | (![X]:((~curious(X)&curious(X))<=>(patient(X)<~>~calm(X))))&
(((~wise(paul)&~brave(paul)))<=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((... | ~quiet(alice) | [
"p1",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8174245308129948099442339
% SZS output start Proof for 8174245308129948099442339
2. (~brave(paul) & ~wise(paul)) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p1]
5. ? [X0] : (~wise(X0) | ~happy(X0)) => (generous(alice) & tall(alice)) [input p4]
6. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (... | 0 |
If someone is not happy then paul is funny or not tall.
Everyone who is both wise and not generous is both strong and kind.
If lucy is not curious then lucy is rich or patient and vice versa.
Everyone who is not funny is kind.
If lucy is both wise and humble then someone is both funny and calm.
Everyone who is not brav... | Lucy is not funny. | entailment | ((?[X]:(~happy(X)))=>((funny(paul)|~tall(paul))))&
(![X]:((wise(X)&~generous(X))=>(strong(X)&kind(X))))&
((~curious(lucy))<=>((rich(lucy)|patient(lucy))))&
(![X]:(~funny(X)=>kind(X)))&
(((wise(lucy)&humble(lucy)))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(~brave(X)=>(~quiet(X)|~strong(X))))&
(((old(susan)<~>~creative(susan... | ~funny(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1495800283877352977734169
% SZS output start Proof for 1495800283877352977734169
10. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~generous(X0) & ~funny(X0))) [input p9]
23. funny(lucy) [input hypothesis]
51. ! [X0] : (((~humble(X0) | humble(X0)) | (generous(X0) | funny(X0))) & ((~generous(X... | 0 |
If paul is either old or calm then someone is not patient or not kind and vice versa.
If someone is both old and not generous then someone is generous or tall.
If lucy is humble then someone is generous or not curious and vice versa.
Everyone who is rich or humble is strong and vice versa.
Everyone who is not happy is ... | Paul is not generous. | entailment | (((old(paul)<~>calm(paul)))<=>(?[X]:((~patient(X)|~kind(X)))))&
((?[X]:((old(X)&~generous(X))))=>(?[X]:((generous(X)|tall(X)))))&
((humble(lucy))<=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((rich(X)|humble(X))<=>strong(X)))&
(![X]:(~happy(X)=>(funny(X)&~quiet(X))))&
(((~creative(mary)<~>brave(mary)))<=>(?[X]:((rich(X... | ~generous(paul) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9131274820710977151938412
% SZS output start Proof for 9131274820710977151938412
14. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~old(X0) & tall(X0))) [input p13]
15. ! [X0] : ((generous(X0) | tall(X0)) => (rich(X0) & ~generous(X0))) [input p14]
21. generous(paul) [input hypothesis]
30. ! ... | 0 |
Everyone who is not quiet is curious or calm and vice versa. If someone is not funny then paul is curious or tall. Everyone who is curious is either tall or not funny. If someone is patient or not old then someone is quiet and vice versa. Everyone who is either kind or generous is old or quiet and vice versa. If someon... | Susan is not rich. | contradiction | (![X]:(~quiet(X)<=>(curious(X)|calm(X))))&
((?[X]:(~funny(X)))=>((curious(paul)|tall(paul))))&
(![X]:(curious(X)=>(tall(X)<~>~funny(X))))&
((?[X]:((patient(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)<~>generous(X))<=>(old(X)|quiet(X))))&
((?[X]:((calm(X)&creative(X))))=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:... | ~rich(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7482733124873206847397404
% SZS output start Proof for 7482733124873206847397404
15. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p14]
24. ~rich(susan) [input hypothesis]
29. ? [X0] : (curious(X0) | ~rich(X0)) => ? [X1] : (~brave(X1) & brave(X1)) [rectify... | 0 |
Everyone who is both tall and not kind is not funny and vice versa. Everyone who is either not curious or not brave is funny or calm and vice versa. Everyone who is either not calm or not wise is not creative or brave and vice versa. Everyone who is humble or funny is both not strong and not funny. Everyone who is eith... | Paul is not strong. | entailment | (![X]:((tall(X)&~kind(X))<=>~funny(X)))&
(![X]:((~curious(X)<~>~brave(X))<=>(funny(X)|calm(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~creative(X)|brave(X))))&
(![X]:((humble(X)|funny(X))=>(~strong(X)&~funny(X))))&
(![X]:((funny(X)<~>~happy(X))=>(~rich(X)|~patient(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((... | ~strong(paul) | [
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2435147009922789612662614
% SZS output start Proof for 2435147009922789612662614
4. ! [X0] : ((funny(X0) | humble(X0)) => (~funny(X0) & ~strong(X0))) [input p3]
7. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p6]
13. ! [X0] : (strong(X0) <=> (~patient(X0) <~>... | 0 |
If someone is both not creative and not brave then someone is quiet or brave.
Everyone who is either tall or not wise is generous or patient and vice versa.
If someone is both old and not calm then lucy is not tall or curious and vice versa.
Everyone who is not quiet is patient or brave and vice versa.
If someone is ei... | Paul is not tall. | neutral | ((?[X]:((~creative(X)&~brave(X))))=>(?[X]:((quiet(X)|brave(X)))))&
(![X]:((tall(X)<~>~wise(X))<=>(generous(X)|patient(X))))&
((?[X]:((old(X)&~calm(X))))<=>((~tall(lucy)|curious(lucy))))&
(![X]:(~quiet(X)<=>(patient(X)|brave(X))))&
((?[X]:((happy(X)<~>~strong(X))))=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((~quiet(X)<~... | ~tall(paul) | [] | null | 0 |
If someone is either not brave or funny then someone is patient.
If someone is either not wise or rich then paul is either not old or curious.
Everyone who is both not strong and rich is not rich or quiet.
If someone is patient or not funny then paul is both not generous and quiet and vice versa.
If paul is not generou... | John is curious. | neutral | ((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(X))))<=>((~generous(paul)&quiet(paul))))&
((~generous(paul))<=>(old(mary)))&
((?[X]:((~generous(X)<~>~funny(X))))=>(?[X]... | curious(john) | [] | null | 0 |
Everyone who is not funny or not patient is not happy and vice versa.
If someone is humble or not patient then someone is either quiet or not happy.
Everyone who is not happy or tall is generous or not generous.
Everyone who is either creative or not old is either not brave or not tall and vice versa.
If fred is both g... | Susan is quiet. | entailment | (![X]:((~funny(X)|~patient(X))<=>~happy(X)))&
((?[X]:((humble(X)|~patient(X))))=>(?[X]:((quiet(X)<~>~happy(X)))))&
(![X]:((~happy(X)|tall(X))=>(generous(X)|~generous(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~brave(X)<~>~tall(X))))&
(((generous(fred)&funny(fred)))<=>(?[X]:((~creative(X)&kind(X)))))&
((?[X]:((~tall(X)&ol... | quiet(susan) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3211362978577713520272150
% SZS output start Proof for 3211362978577713520272150
8. ! [X0] : ((~calm(X0) | ~humble(X0)) => (quiet(X0) & ~brave(X0))) [input p7]
21. ~humble(susan) & funny(susan) [input p20]
25. ~quiet(susan) [input hypothesis]
30. ! [X0] : ((quiet(X0) & ~brave(X0)) | (calm... | 0 |
Everyone who is happy is both old and not generous.
Everyone who is not funny is both curious and not humble and vice versa.
If lucy is either old or not calm then susan is either not quiet or calm.
If someone is old or not rich then someone is both not quiet and not tall.
If someone is both not patient and tall then f... | Fred is calm. | entailment | (![X]:(happy(X)=>(old(X)&~generous(X))))&
(![X]:(~funny(X)<=>(curious(X)&~humble(X))))&
(((old(lucy)<~>~calm(lucy)))=>((~quiet(susan)<~>calm(susan))))&
((?[X]:((old(X)|~rich(X))))=>(?[X]:((~quiet(X)&~tall(X)))))&
((?[X]:((~patient(X)&tall(X))))=>((~generous(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>(rich(X)<~>~patient... | calm(fred) | [
"p1",
"p5",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7271872558942881476560788
% SZS output start Proof for 7271872558942881476560788
2. ! [X0] : (~funny(X0) <=> (~humble(X0) & curious(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~patient(X0))) [input p5]
10. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~brave(X0) | curious(X0... | 0 |
If someone is not patient then someone is not humble or not happy.
Everyone who is either not creative or brave is both creative and not strong.
If alice is not strong then fred is curious or strong.
Everyone who is not rich is both kind and not funny.
If alice is not funny then someone is not happy and vice versa.
Eve... | John is not calm. | contradiction | ((?[X]:(~patient(X)))=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((~creative(X)<~>brave(X))=>(creative(X)&~strong(X))))&
((~strong(alice))=>((curious(fred)|strong(fred))))&
(![X]:(~rich(X)=>(kind(X)&~funny(X))))&
((~funny(alice))<=>(?[X]:(~happy(X))))&
(![X]:((~calm(X)<~>kind(X))<=>wise(X)))&
((?[X]:((rich(X)&happy(X))))... | ~calm(john) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 38060244388169544761039
% SZS output start Proof for 38060244388169544761039
8. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> curious(X0)) [input p7]
11. (tall(mary) & kind(mary)) <=> ? [X0] : (~calm(X0) | ~tall(X0)) [input p10]
25. ~calm(john) [input hypothesis]
54. ! [X0] : ((((curious(X0)... | 0 |
Everyone who is not patient or not wise is both not rich and happy and vice versa.
If mary is both not humble and rich then someone is not humble or strong.
Everyone who is not brave is either not kind or wise and vice versa.
If someone is both happy and not funny then susan is happy.
Everyone who is not brave or not g... | Fred is rich. | neutral | (![X]:((~patient(X)|~wise(X))<=>(~rich(X)&happy(X))))&
(((~humble(mary)&rich(mary)))=>(?[X]:((~humble(X)|strong(X)))))&
(![X]:(~brave(X)<=>(~kind(X)<~>wise(X))))&
((?[X]:((happy(X)&~funny(X))))=>(happy(susan)))&
(![X]:((~brave(X)|~generous(X))<=>patient(X)))&
(![X]:((~rich(X)|curious(X))=>~rich(X)))&
(![X]:((~creative(... | rich(fred) | [] | null | 0 |
If lucy is both strong and not wise then someone is both humble and not quiet and vice versa.
Everyone who is not strong is kind and vice versa.
Everyone who is both not patient and not curious is not creative.
If paul is either funny or brave then lucy is either not humble or not funny and vice versa.
Everyone who is ... | Lucy is not tall. | neutral | (((strong(lucy)&~wise(lucy)))<=>(?[X]:((humble(X)&~quiet(X)))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~patient(X)&~curious(X))=>~creative(X)))&
(((funny(paul)<~>brave(paul)))<=>((~humble(lucy)<~>~funny(lucy))))&
(![X]:(~brave(X)=>(~calm(X)&~strong(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~humble(X)<~>patient(X))))&
(((~... | ~tall(lucy) | [] | null | 0 |
Everyone who is either curious or kind is both not tall and not brave and vice versa.
If someone is either patient or happy then lucy is not happy and vice versa.
Everyone who is patient is either creative or funny.
Everyone who is either calm or not calm is either wise or not brave and vice versa.
If someone is both h... | Mary is kind. | neutral | (![X]:((curious(X)<~>kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((patient(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(creative(X)<~>funny(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((happy(X)&patient(X))))=>(old(paul)))&
((tall(susan))<=>((wise(john)|~rich(john))))&
(((happy(alice)|... | kind(mary) | [] | null | 0 |
Everyone who is either not wise or kind is both kind and not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet or humble is not rich or patient and vice versa.
Everyone who is both not ... | John is humble. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(kind(X)&~brave(X))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brav... | humble(john) | [
"p2",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8937280276228321791866471
% SZS output start Proof for 8937280276228321791866471
3. ! [X0] : ((strong(X0) & creative(X0)) <=> (patient(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (patient(X0) | ~rich(X0))) [input p3]
10. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~... | 0 |
If someone is not kind or not curious then fred is either kind or not funny and vice versa.
If someone is not happy then lucy is not rich or not humble and vice versa.
If mary is generous then someone is both rich and humble and vice versa.
If lucy is rich then someone is both not calm and not kind and vice versa.
If s... | Alice is not rich. | contradiction | ((?[X]:((~kind(X)|~curious(X))))<=>((kind(fred)<~>~funny(fred))))&
((?[X]:(~happy(X)))<=>((~rich(lucy)|~humble(lucy))))&
((generous(mary))<=>(?[X]:((rich(X)&humble(X)))))&
((rich(lucy))<=>(?[X]:((~calm(X)&~kind(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:(~wise(X)=>(kind(X)&quiet(X))))&
(![X]:(... | ~rich(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 113550886745853997249378
% SZS output start Proof for 113550886745853997249378
21. rich(alice) [input p20]
24. ~rich(alice) [input hypothesis]
132. rich(alice) [cnf transformation 21]
135. ~rich(alice) [cnf transformation 24]
303. $false [subsumption resolution 135,132]
% SZS output end P... | 0 |
If someone is not humble or not funny then susan is both not generous and not funny and vice versa.
Everyone who is humble is either wise or humble and vice versa.
If someone is wise or not calm then fred is either not tall or not brave.
Everyone who is not curious or funny is not tall or not quiet.
Everyone who is eit... | Lucy is not patient. | entailment | ((?[X]:((~humble(X)|~funny(X))))<=>((~generous(susan)&~funny(susan))))&
(![X]:(humble(X)<=>(wise(X)<~>humble(X))))&
((?[X]:((wise(X)|~calm(X))))=>((~tall(fred)<~>~brave(fred))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)|~quiet(X))))&
(![X]:((kind(X)<~>patient(X))<=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>... | ~patient(lucy) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 871679001124909936892896
% SZS output start Proof for 871679001124909936892896
5. ! [X0] : ((kind(X0) <~> patient(X0)) <=> (kind(X0) & ~rich(X0))) [input p4]
11. ! [X0] : (~patient(X0) <=> (kind(X0) | ~calm(X0))) [input p10]
23. patient(lucy) [input hypothesis]
41. ! [X0] : ((((~patient(X... | 0 |
Everyone who is calm is not rich.
Everyone who is either not funny or not old is both not funny and old.
Everyone who is quiet is humble or curious and vice versa.
Everyone who is both creative and not patient is creative and vice versa.
If someone is either strong or wise then someone is either wise or funny.
If john ... | Mary is curious. | entailment | (![X]:(calm(X)=>~rich(X)))&
(![X]:((~funny(X)<~>~old(X))=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(humble(X)|curious(X))))&
(![X]:((creative(X)&~patient(X))<=>creative(X)))&
((?[X]:((strong(X)<~>wise(X))))=>(?[X]:((wise(X)<~>funny(X)))))&
((~generous(john))<=>(~strong(mary)))&
(![X]:((~strong(X)&~quiet(X))=>(~curious(X... | curious(mary) | [
"p2",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3346279825527503043488366
% SZS output start Proof for 3346279825527503043488366
3. ! [X0] : (quiet(X0) <=> (curious(X0) | humble(X0))) [input p2]
17. generous(mary) & ~humble(mary) [input p16]
18. kind(mary) & quiet(mary) [input p17]
25. ~curious(mary) [input hypothesis]
28. quiet(mary) ... | 0 |
If someone is both not rich and calm then alice is not kind. Everyone who is not tall is either calm or not funny. Everyone who is tall or not wise is not calm or quiet and vice versa. If fred is both not creative and not patient then someone is both not strong and generous and vice versa. Everyone who is not generous ... | Lucy is strong. | entailment | ((?[X]:((~rich(X)&calm(X))))=>(~kind(alice)))&
(![X]:(~tall(X)=>(calm(X)<~>~funny(X))))&
(![X]:((tall(X)|~wise(X))<=>(~calm(X)|quiet(X))))&
(((~creative(fred)&~patient(fred)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((~generous(X)|~humble(X))=>(~generous(X)&~kind(X))))&
(![X]:((~kind(X)&~calm(X))=>(funny(X)&tall(X)... | strong(lucy) | [
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 62991467960350814415397
% SZS output start Proof for 62991467960350814415397
5. ! [X0] : ((~humble(X0) | ~generous(X0)) => (~kind(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~calm(X0) & ~kind(X0)) => (tall(X0) & funny(X0))) [input p5]
14. ! [X0] : (~strong(X0) <=> (~rich(X0) & ~calm(X0... | 0 |
If alice is either tall or strong then someone is either happy or patient. If lucy is not generous then someone is either not kind or kind and vice versa. Everyone who is generous is both not wise and not calm and vice versa. If someone is not strong then someone is either not strong or wise and vice versa. Everyone wh... | Lucy is not tall. | contradiction | (((tall(alice)<~>strong(alice)))=>(?[X]:((happy(X)<~>patient(X)))))&
((~generous(lucy))<=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:(generous(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~quiet(X)<~>curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~humble(X)... | ~tall(lucy) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4710849555861013352563767
% SZS output start Proof for 4710849555861013352563767
12. ! [X0] : (quiet(X0) => (~rich(X0) & calm(X0))) [input p11]
13. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~quiet(X0) & ~tall(X0))) [input p12]
15. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (~calm(X0) & humble(... | 0 |
Everyone who is quiet or strong is either humble or happy.
Everyone who is both funny and humble is rich.
Everyone who is both happy and not wise is rich and vice versa.
If someone is quiet or not curious then fred is both not rich and old and vice versa.
If someone is either old or not humble then john is both not qui... | John is kind. | entailment | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:((funny(X)&humble(X))=>rich(X)))&
(![X]:((happy(X)&~wise(X))<=>rich(X)))&
((?[X]:((quiet(X)|~curious(X))))<=>((~rich(fred)&old(fred))))&
((?[X]:((old(X)<~>~humble(X))))=>((~quiet(john)&~brave(john))))&
(![X]:(tall(X)<=>(kind(X)|~curious(X))))&
(![X]:((wise(X)... | kind(john) | [
"p5",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6868380147664078757987772
% SZS output start Proof for 6868380147664078757987772
6. ! [X0] : (tall(X0) <=> (~curious(X0) | kind(X0))) [input p5]
9. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p8]
12. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) &... | 0 |
Everyone who is not tall is not calm and vice versa. If someone is both tall and patient then john is curious and vice versa. Everyone who is either generous or not humble is either tall or funny. Everyone who is not quiet or humble is both old and not calm and vice versa. If someone is curious then someone is funny an... | Lucy is funny. | entailment | (![X]:(~tall(X)<=>~calm(X)))&
((?[X]:((tall(X)&patient(X))))<=>(curious(john)))&
(![X]:((generous(X)<~>~humble(X))=>(tall(X)<~>funny(X))))&
(![X]:((~quiet(X)|humble(X))<=>(old(X)&~calm(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)|generous(X))=>(~old(X)&~generous(X))))&
(((wise(lucy)|~patient(lucy... | funny(lucy) | [
"p3",
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 311960030869583331413423
% SZS output start Proof for 311960030869583331413423
4. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~calm(X0) & old(X0))) [input p3]
6. ! [X0] : ((generous(X0) | ~funny(X0)) => (~generous(X0) & ~old(X0))) [input p5]
10. ! [X0] : (quiet(X0) => (~creative(X0) & creati... | 0 |
Everyone who is not old is both brave and humble. If someone is not strong or not rich then fred is both not tall and not happy. Everyone who is tall or not strong is either patient or not old. If someone is not rich or not wise then someone is humble or not kind and vice versa. If fred is not humble then someone is ca... | Paul is not funny. | entailment | (![X]:(~old(X)=>(brave(X)&humble(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~tall(fred)&~happy(fred))))&
(![X]:((tall(X)|~strong(X))=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>(?[X]:(~brave(X))))&
(![X]:((~funny(X... | ~funny(paul) | [
"p6",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7290479165581929398565060
% SZS output start Proof for 7290479165581929398565060
7. ! [X0] : ((rich(X0) & ~funny(X0)) <=> wise(X0)) [input p6]
12. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> (wise(X0) & ~generous(X0))) [input p11]
14. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~old(X0) | wis... | 0 |
Everyone who is not creative is either not generous or quiet.
If someone is either creative or humble then alice is both not creative and humble and vice versa.
Everyone who is either not patient or quiet is funny or quiet.
If fred is either not happy or not funny then someone is not calm or not old.
Everyone who is bo... | Fred is not kind. | neutral | (![X]:(~creative(X)=>(~generous(X)<~>quiet(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>((~creative(alice)&humble(alice))))&
(![X]:((~patient(X)<~>quiet(X))=>(funny(X)|quiet(X))))&
(((~happy(fred)<~>~funny(fred)))=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((brave(X)&~creative(X))<=>~rich(X)))&
(![X]:((brave(X)<~>kind(X))<=>... | ~kind(fred) | [] | null | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Paul is strong. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | strong(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4291621694177215306896321
% SZS output start Proof for 4291621694177215306896321
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => ... | 0 |
Everyone who is both not rich and kind is either not rich or funny and vice versa.
If someone is not tall then someone is not strong and vice versa.
If someone is happy then someone is both quiet and not patient and vice versa.
If someone is not curious then alice is either not creative or funny and vice versa.
If susa... | Susan is not funny. | entailment | (![X]:((~rich(X)&kind(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~strong(X))))&
((?[X]:(happy(X)))<=>(?[X]:((quiet(X)&~patient(X)))))&
((?[X]:(~curious(X)))<=>((~creative(alice)<~>funny(alice))))&
(((~happy(susan)<~>kind(susan)))<=>((~tall(susan)<~>~old(susan))))&
(![X]:((old(X)<~>~generous(X))=>(calm(X... | ~funny(susan) | [
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9153532642125529260829335
% SZS output start Proof for 9153532642125529260829335
3. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & quiet(X0)) [input p2]
13. ! [X0] : ((brave(X0) & happy(X0)) <=> (old(X0) | funny(X0))) [input p12]
14. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (quiet(X0) | wise... | 0 |
If alice is brave then someone is kind and vice versa.
Everyone who is either not rich or not patient is either not rich or wise and vice versa.
If john is both not rich and happy then lucy is not funny and vice versa.
If someone is either quiet or not curious then someone is not kind.
Everyone who is quiet or tall is ... | Lucy is strong. | neutral | ((brave(alice))<=>(?[X]:(kind(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>(~rich(X)<~>wise(X))))&
(((~rich(john)&happy(john)))<=>(~funny(lucy)))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:(~kind(X))))&
(![X]:((quiet(X)|tall(X))=>(~tall(X)<~>old(X))))&
(![X]:((~kind(X)|calm(X))=>(old(X)|~curious(X))))&
((?[X]:(creative(X))... | strong(lucy) | [] | null | 0 |
If paul is both wise and not humble then lucy is both calm and not old.
Everyone who is both funny and not happy is not old or not kind and vice versa.
If someone is not wise or not calm then someone is wise or not brave.
Everyone who is wise is calm or creative and vice versa.
If someone is not tall or not calm then a... | Paul is patient. | contradiction | (((wise(paul)&~humble(paul)))=>((calm(lucy)&~old(lucy))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|~kind(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:(wise(X)<=>(calm(X)|creative(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((~humble(alice)&~patient(alice))))&
((?[X]:((patient(X)<~>creative(X))))<... | patient(paul) | [
"p1",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 967069334173273954834930
% SZS output start Proof for 967069334173273954834930
2. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> (~wise(X0) & tall(X0))) [input p7]
10. ! [X0] : ((~happy(X0) & ~kind(X0)) => ~funny(X0)) [input p9]
13. ! [... | 0 |
Everyone who is either not patient or kind is strong and vice versa. Everyone who is not patient or not happy is both calm and rich and vice versa. Everyone who is both not rich and not curious is either tall or not kind. Everyone who is not rich is either patient or happy. Everyone who is both humble and quiet is both... | Alice is funny. | contradiction | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((~patient(X)|~happy(X))<=>(calm(X)&rich(X))))&
(![X]:((~rich(X)&~curious(X))=>(tall(X)<~>~kind(X))))&
(![X]:(~rich(X)=>(patient(X)<~>happy(X))))&
(![X]:((humble(X)&quiet(X))=>(~creative(X)&~tall(X))))&
(![X]:((creative(X)&~rich(X))=>(~old(X)<~>~brave(X))))&
((?[X]:(c... | funny(alice) | [
"p1",
"p3",
"p7",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2983228473612543059650539
% SZS output start Proof for 2983228473612543059650539
2. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> (rich(X0) & calm(X0))) [input p1]
4. ! [X0] : (~rich(X0) => (patient(X0) <~> happy(X0))) [input p3]
8. ! [X0] : ((~happy(X0) <~> strong(X0)) => (~humble(X0) & ~ric... | 0 |
If john is not strong or not happy then mary is either patient or brave.
If paul is not quiet or happy then someone is both rich and not quiet.
Everyone who is either not rich or not humble is not tall or generous.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is eith... | Paul is kind. | neutral | (((~strong(john)|~happy(john)))=>((patient(mary)<~>brave(mary))))&
(((~quiet(paul)|happy(paul)))=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~rich(X)<~>~humble(X))=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curio... | kind(paul) | [] | null | 0 |
Everyone who is both curious and not creative is not funny and vice versa.
Everyone who is not funny is not rich and vice versa.
If someone is wise or quiet then someone is either patient or not strong.
Everyone who is either tall or not strong is not creative and vice versa.
If someone is both not humble and generous ... | Fred is calm. | entailment | (![X]:((curious(X)&~creative(X))<=>~funny(X)))&
(![X]:(~funny(X)<=>~rich(X)))&
((?[X]:((wise(X)|quiet(X))))=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((tall(X)<~>~strong(X))<=>~creative(X)))&
((?[X]:((~humble(X)&generous(X))))=>((~happy(fred)&patient(fred))))&
(((~creative(john)&wise(john)))<=>(?[X]:((~quiet(X)<~>cal... | calm(fred) | [
"p0",
"p1",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 625141349756414925247645
% SZS output start Proof for 625141349756414925247645
1. ! [X0] : ((~creative(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
2. ! [X0] : (~funny(X0) <=> ~rich(X0)) [input p1]
21. wise(fred) & ~rich(fred) [input p20]
24. creative(fred) <~> calm(fred) [input p23]
25.... | 0 |
Everyone who is both not calm and not humble is quiet. If someone is humble or not happy then someone is either not quiet or wise. If someone is creative then mary is strong or quiet. Everyone who is funny or not wise is happy or not kind. If someone is both not happy and wise then paul is rich or funny and vice versa.... | Paul is strong. | neutral | (![X]:((~calm(X)&~humble(X))=>quiet(X)))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((~quiet(X)<~>wise(X)))))&
((?[X]:(creative(X)))=>((strong(mary)|quiet(mary))))&
(![X]:((funny(X)|~wise(X))=>(happy(X)|~kind(X))))&
((?[X]:((~happy(X)&wise(X))))<=>((rich(paul)|funny(paul))))&
(![X]:((tall(X)&funny(X))<=>(~generous(X)&pati... | strong(paul) | [] | null | 0 |
If someone is both funny and not curious then john is both not old and not happy and vice versa.
Everyone who is both quiet and curious is not kind and vice versa.
If susan is both old and tall then fred is not old or not tall and vice versa.
Everyone who is wise is either patient or funny.
Everyone who is either humbl... | Susan is rich. | neutral | ((?[X]:((funny(X)&~curious(X))))<=>((~old(john)&~happy(john))))&
(![X]:((quiet(X)&curious(X))<=>~kind(X)))&
(((old(susan)&tall(susan)))<=>((~old(fred)|~tall(fred))))&
(![X]:(wise(X)=>(patient(X)<~>funny(X))))&
(![X]:((humble(X)<~>~strong(X))=>rich(X)))&
(![X]:((happy(X)|wise(X))=>(rich(X)&~generous(X))))&
(![X]:((~quie... | rich(susan) | [] | null | 0 |
Everyone who is kind is both not happy and rich. If someone is calm or not funny then fred is not funny. If someone is both not old and not brave then fred is either not rich or wise and vice versa. If someone is both not wise and not generous then someone is either not kind or not curious and vice versa. Everyone who ... | Paul is not old. | entailment | (![X]:(kind(X)=>(~happy(X)&rich(X))))&
((?[X]:((calm(X)|~funny(X))))=>(~funny(fred)))&
((?[X]:((~old(X)&~brave(X))))<=>((~rich(fred)<~>wise(fred))))&
((?[X]:((~wise(X)&~generous(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:(happy(X)=>~rich(X)))&
((?[X]:((kind(X)&humble(X))))=>(strong(mary)))&
((?[X]:((kind(X)&wise... | ~old(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 659029857128045536296484
% SZS output start Proof for 659029857128045536296484
21. quiet(paul) & ~old(paul) [input p20]
24. old(paul) [input hypothesis]
127. ~old(paul) [cnf transformation 21]
131. old(paul) [cnf transformation 24]
315. 40 <=> old(paul) [avatar definition]
328. ~40 [avata... | 0 |
Everyone who is wise or patient is not patient and vice versa.
Everyone who is quiet or kind is not brave or wise and vice versa.
If susan is not happy or not generous then someone is both not generous and kind and vice versa.
Everyone who is brave or not generous is both old and calm and vice versa.
Everyone who is ei... | Mary is creative. | neutral | (![X]:((wise(X)|patient(X))<=>~patient(X)))&
(![X]:((quiet(X)|kind(X))<=>(~brave(X)|wise(X))))&
(((~happy(susan)|~generous(susan)))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((brave(X)|~generous(X))<=>(old(X)&calm(X))))&
(![X]:((funny(X)<~>rich(X))<=>(generous(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>((~brave(lucy)&tall(lu... | creative(mary) | [] | null | 0 |
If someone is either rich or not patient then lucy is not generous or not creative and vice versa.
Everyone who is either not curious or creative is both not old and curious.
Everyone who is curious or not kind is wise and vice versa.
Everyone who is calm is kind or not calm and vice versa.
If mary is curious then alic... | Alice is not humble. | entailment | ((?[X]:((rich(X)<~>~patient(X))))<=>((~generous(lucy)|~creative(lucy))))&
(![X]:((~curious(X)<~>creative(X))=>(~old(X)&curious(X))))&
(![X]:((curious(X)|~kind(X))<=>wise(X)))&
(![X]:(calm(X)<=>(kind(X)|~calm(X))))&
((curious(mary))=>((funny(alice)|~curious(alice))))&
(![X]:(~patient(X)<=>(~tall(X)|patient(X))))&
(![X]:... | ~humble(alice) | [
"p2",
"p3",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7581758052602338414182339
% SZS output start Proof for 7581758052602338414182339
3. ! [X0] : ((~kind(X0) | curious(X0)) <=> wise(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~calm(X0) | kind(X0))) [input p3]
21. humble(alice) <~> curious(alice) [input p20]
22. wise(alice) [input p21]
23. hu... | 0 |
Everyone who is either not patient or not funny is both not humble and wise.
If lucy is not patient or old then someone is both not curious and not rich.
Everyone who is old or not old is both calm and rich and vice versa.
Everyone who is calm or not creative is tall and vice versa.
Everyone who is patient or creative ... | Susan is not brave. | neutral | (![X]:((~patient(X)<~>~funny(X))=>(~humble(X)&wise(X))))&
(((~patient(lucy)|old(lucy)))=>(?[X]:((~curious(X)&~rich(X)))))&
(![X]:((old(X)|~old(X))<=>(calm(X)&rich(X))))&
(![X]:((calm(X)|~creative(X))<=>tall(X)))&
(![X]:((patient(X)|creative(X))=>~brave(X)))&
(((~kind(susan)<~>old(susan)))<=>((rich(lucy)|kind(lucy))))&
... | ~brave(susan) | [] | null | 0 |
Everyone who is either curious or creative is not curious. If someone is not strong then someone is either not brave or patient. Everyone who is either not creative or not humble is either not strong or not humble and vice versa. If someone is either not wise or rich then alice is both not tall and curious and vice ver... | Alice is wise. | entailment | (![X]:((curious(X)<~>creative(X))=>~curious(X)))&
((?[X]:(~strong(X)))=>(?[X]:((~brave(X)<~>patient(X)))))&
(![X]:((~creative(X)<~>~humble(X))<=>(~strong(X)<~>~humble(X))))&
((?[X]:((~wise(X)<~>rich(X))))<=>((~tall(alice)&curious(alice))))&
(![X]:((tall(X)&~rich(X))<=>(~wise(X)|~rich(X))))&
(((wise(paul)<~>creative(pau... | wise(alice) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1691976274261122297264800
% SZS output start Proof for 1691976274261122297264800
4. ? [X0] : (~wise(X0) <~> rich(X0)) <=> (curious(alice) & ~tall(alice)) [input p3]
5. ! [X0] : ((~rich(X0) & tall(X0)) <=> (~rich(X0) | ~wise(X0))) [input p4]
24. ~wise(alice) [input hypothesis]
39. (? [X0] ... | 0 |
If fred is kind then someone is either old or not old and vice versa.
Everyone who is both brave and not happy is either calm or brave.
Everyone who is kind or not old is both not strong and old and vice versa.
If john is old or humble then someone is not strong and vice versa.
If someone is both rich and not strong th... | Susan is kind. | entailment | ((kind(fred))<=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:((brave(X)&~happy(X))=>(calm(X)<~>brave(X))))&
(![X]:((kind(X)|~old(X))<=>(~strong(X)&old(X))))&
(((old(john)|humble(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((rich(X)&~strong(X))))=>(?[X]:((happy(X)&rich(X)))))&
(((rich(alice)|~creative(alice)))=>(?[X]:((funny(X)<~>~fu... | kind(susan) | [
"p2",
"p15",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5020903245918439394249329
% SZS output start Proof for 5020903245918439394249329
3. ! [X0] : ((~old(X0) | kind(X0)) <=> (old(X0) & ~strong(X0))) [input p2]
16. (~patient(john) & wise(john)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p15]
20. patient(john) & ~happy(john) [input p19]
22. ~h... | 0 |
If someone is creative or not creative then john is old or brave.
Everyone who is curious or quiet is both not wise and not happy and vice versa.
Everyone who is creative or not curious is both not happy and happy and vice versa.
If someone is not brave then someone is both not brave and creative.
If someone is not cur... | John is not happy. | entailment | ((?[X]:((creative(X)|~creative(X))))=>((old(john)|brave(john))))&
(![X]:((curious(X)|quiet(X))<=>(~wise(X)&~happy(X))))&
(![X]:((creative(X)|~curious(X))<=>(~happy(X)&happy(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~brave(X)&creative(X)))))&
((?[X]:(~curious(X)))<=>((strong(alice)&~old(alice))))&
((?[X]:((rich(X)|quiet(X))))... | ~happy(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1423273552172194732779014
% SZS output start Proof for 1423273552172194732779014
16. ! [X0] : ((happy(X0) <~> ~rich(X0)) <=> ~rich(X0)) [input p15]
21. happy(john) [input hypothesis]
63. ! [X0] : ((((rich(X0) | ~happy(X0)) & (~rich(X0) | happy(X0))) | rich(X0)) & (~rich(X0) | ((happy(X0) ... | 0 |
If someone is both happy and not calm then someone is not quiet or old.
If fred is not curious or not patient then susan is funny or not humble.
If mary is not brave then someone is both not brave and rich and vice versa.
If someone is not funny or not humble then fred is not old.
If paul is either rich or not strong t... | Susan is tall. | contradiction | ((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|old(X)))))&
(((~curious(fred)|~patient(fred)))=>((funny(susan)|~humble(susan))))&
((~brave(mary))<=>(?[X]:((~brave(X)&rich(X)))))&
((?[X]:((~funny(X)|~humble(X))))=>(~old(fred)))&
(((rich(paul)<~>~strong(paul)))<=>((~brave(paul)|strong(paul))))&
((~strong(alice))<=>((cre... | tall(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 695424488265438173530641
% SZS output start Proof for 695424488265438173530641
8. ! [X0] : (tall(X0) <=> (~tall(X0) & ~calm(X0))) [input p7]
23. tall(susan) [input hypothesis]
47. ! [X0] : ((tall(X0) | (tall(X0) | calm(X0))) & ((~tall(X0) & ~calm(X0)) | ~tall(X0))) [nnf transformation 8]
... | 0 |
If alice is not calm then john is strong or not brave and vice versa.
If susan is either curious or strong then someone is either not creative or brave.
Everyone who is not wise is rich or not quiet.
If alice is not wise then someone is not old.
If someone is both brave and patient then someone is either calm or creati... | Fred is not wise. | contradiction | ((~calm(alice))<=>((strong(john)|~brave(john))))&
(((curious(susan)<~>strong(susan)))=>(?[X]:((~creative(X)<~>brave(X)))))&
(![X]:(~wise(X)=>(rich(X)|~quiet(X))))&
((~wise(alice))=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~... | ~wise(fred) | [
"p2",
"p8",
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9045964225146781075700524
% SZS output start Proof for 9045964225146781075700524
3. ! [X0] : (~wise(X0) => (~quiet(X0) | rich(X0))) [input p2]
9. ! [X0] : (~wise(X0) => (generous(X0) <~> ~patient(X0))) [input p8]
10. ! [X0] : (quiet(X0) <=> (generous(X0) | creative(X0))) [input p9]
12. (r... | 0 |
Everyone who is either curious or not happy is generous. Everyone who is either patient or tall is not wise or generous. If someone is either patient or not calm then paul is both brave and not quiet and vice versa. If john is creative or not rich then fred is either not quiet or quiet and vice versa. If someone is bot... | Fred is calm. | neutral | (![X]:((curious(X)<~>~happy(X))=>generous(X)))&
(![X]:((patient(X)<~>tall(X))=>(~wise(X)|generous(X))))&
((?[X]:((patient(X)<~>~calm(X))))<=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:(... | calm(fred) | [] | null | 0 |
Everyone who is not quiet or creative is either brave or not happy.
Everyone who is not curious is not creative and vice versa.
If someone is not wise or generous then mary is generous or not creative and vice versa.
Everyone who is not curious is both happy and strong.
Everyone who is both not old and not funny is not... | Alice is not strong. | contradiction | (![X]:((~quiet(X)|creative(X))=>(brave(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>~creative(X)))&
((?[X]:((~wise(X)|generous(X))))<=>((generous(mary)|~creative(mary))))&
(![X]:(~curious(X)=>(happy(X)&strong(X))))&
(![X]:((~old(X)&~funny(X))=>(~humble(X)|strong(X))))&
(((~creative(lucy)&~tall(lucy)))=>(?[X]:((~happy(X)&str... | ~strong(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 856057534384428059657718
% SZS output start Proof for 856057534384428059657718
4. ! [X0] : (~curious(X0) => (strong(X0) & happy(X0))) [input p3]
12. ! [X0] : ((~strong(X0) | ~patient(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p11]
16. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (quiet(X... | 0 |
If susan is both not funny and kind then someone is either patient or not tall.
Everyone who is either generous or funny is either not tall or not strong.
Everyone who is both not patient and patient is either rich or wise and vice versa.
Everyone who is calm is kind or brave and vice versa.
If paul is not generous the... | Paul is wise. | entailment | (((~funny(susan)&kind(susan)))=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((generous(X)<~>funny(X))=>(~tall(X)<~>~strong(X))))&
(![X]:((~patient(X)&patient(X))<=>(rich(X)<~>wise(X))))&
(![X]:(calm(X)<=>(kind(X)|brave(X))))&
((~generous(paul))<=>(?[X]:((calm(X)&~curious(X)))))&
((?[X]:((~old(X)&~patient(X))))=>(?[X]:(ric... | wise(paul) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5290344493720484402640743
% SZS output start Proof for 5290344493720484402640743
3. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (rich(X0) <~> wise(X0))) [input p2]
14. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> (funny(X0) & wise(X0))) [input p13]
22. ~wise(paul) [input hypothesis]
38. ! [X0] :... | 0 |
Everyone who is humble or wise is creative and vice versa.
Everyone who is either not strong or not creative is not calm.
Everyone who is both tall and quiet is not kind and vice versa.
If someone is both not tall and funny then paul is either curious or funny.
If susan is both rich and not calm then someone is not fun... | Alice is calm. | contradiction | (![X]:((humble(X)|wise(X))<=>creative(X)))&
(![X]:((~strong(X)<~>~creative(X))=>~calm(X)))&
(![X]:((tall(X)&quiet(X))<=>~kind(X)))&
((?[X]:((~tall(X)&funny(X))))=>((curious(paul)<~>funny(paul))))&
(((rich(susan)&~calm(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~happy(X)|creative(X))))=>((~brave(alice)&brave(alice))))&
((?... | calm(alice) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 300066707637310574372154
% SZS output start Proof for 300066707637310574372154
1. ! [X0] : ((wise(X0) | humble(X0)) <=> creative(X0)) [input p0]
2. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((quiet(X0) & tall(X0)) <=> ~kind(X0)) [input p2]
6. ? [X0] : ... | 0 |
If john is curious then someone is not old.
If someone is not humble or not patient then someone is happy.
Everyone who is kind is both happy and not quiet and vice versa.
If paul is both humble and not patient then john is not creative and vice versa.
If someone is not kind or kind then someone is either generous or p... | Mary is brave. | neutral | ((curious(john))=>(?[X]:(~old(X))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:(happy(X))))&
(![X]:(kind(X)<=>(happy(X)&~quiet(X))))&
(((humble(paul)&~patient(paul)))<=>(~creative(john)))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((generous(X)<~>patient(X)))))&
(![X]:(old(X)=>strong(X)))&
(![X]:((patient(X)|~curious(X))=>s... | brave(mary) | [] | null | 0 |
Everyone who is both patient and not happy is tall or creative.
Everyone who is both not humble and not kind is either not happy or humble and vice versa.
If someone is creative or calm then alice is both not old and happy.
If john is tall then someone is curious or not funny and vice versa.
If someone is both not rich... | Lucy is creative. | contradiction | (![X]:((patient(X)&~happy(X))=>(tall(X)|creative(X))))&
(![X]:((~humble(X)&~kind(X))<=>(~happy(X)<~>humble(X))))&
((?[X]:((creative(X)|calm(X))))=>((~old(alice)&happy(alice))))&
((tall(john))<=>(?[X]:((curious(X)|~funny(X)))))&
((?[X]:((~rich(X)&~creative(X))))<=>((~generous(paul)&quiet(paul))))&
(((creative(susan)|~qu... | creative(lucy) | [
"p1",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2181971779056382382734835
% SZS output start Proof for 2181971779056382382734835
2. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~happy(X0) <~> humble(X0))) [input p1]
3. ? [X0] : (calm(X0) | creative(X0)) => (happy(alice) & ~old(alice)) [input p2]
7. ! [X0] : ((~calm(X0) & kind(X0)) => ~stro... | 0 |
Everyone who is either generous or humble is not generous. If someone is either patient or quiet then john is calm or not kind. If someone is rich or not generous then lucy is both not tall and calm. If someone is either not happy or not funny then someone is both not curious and not brave. If someone is both not happy... | Susan is generous. | entailment | (![X]:((generous(X)<~>humble(X))=>~generous(X)))&
((?[X]:((patient(X)<~>quiet(X))))=>((calm(john)|~kind(john))))&
((?[X]:((rich(X)|~generous(X))))=>((~tall(lucy)&calm(lucy))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~brave(X)))))&
((?[X]:((~happy(X)&~rich(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:(... | generous(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5034098931567952740492580
% SZS output start Proof for 5034098931567952740492580
11. ! [X0] : ((old(X0) <~> ~old(X0)) <=> generous(X0)) [input p10]
24. ~generous(susan) [input hypothesis]
56. ! [X0] : ((((old(X0) | ~old(X0)) & (~old(X0) | old(X0))) | ~generous(X0)) & (generous(X0) | ((old... | 0 |
If paul is either brave or not quiet then someone is creative or generous. If someone is either humble or not kind then someone is either strong or not wise and vice versa. Everyone who is both not generous and not brave is not funny or tall and vice versa. Everyone who is either quiet or not quiet is not brave or not ... | Lucy is quiet. | neutral | (((brave(paul)<~>~quiet(paul)))=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((strong(X)<~>~wise(X)))))&
(![X]:((~generous(X)&~brave(X))<=>(~funny(X)|tall(X))))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~brave(X)|~creative(X))))&
(![X]:((old(X)&~curious(X))<=>(funny(X)<~>~kind(X))))&
(![X]:((c... | quiet(lucy) | [] | null | 0 |
Everyone who is either not creative or not generous is not happy. Everyone who is not tall or not generous is both not old and not patient. Everyone who is rich or creative is old or not patient and vice versa. Everyone who is either not old or kind is not creative or not humble and vice versa. If someone is not strong... | Lucy is not funny. | neutral | (![X]:((~creative(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)|~generous(X))=>(~old(X)&~patient(X))))&
(![X]:((rich(X)|creative(X))<=>(old(X)|~patient(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>funny(X))))<=>(?[X]:((... | ~funny(lucy) | [] | null | 0 |
If someone is creative then someone is not tall and vice versa.
Everyone who is not kind or not funny is brave or not calm and vice versa.
Everyone who is both happy and not tall is not old.
Everyone who is not generous or not quiet is patient or not humble and vice versa.
Everyone who is either not wise or not brave i... | Mary is generous. | contradiction | ((?[X]:(creative(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~kind(X)|~funny(X))<=>(brave(X)|~calm(X))))&
(![X]:((happy(X)&~tall(X))=>~old(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(patient(X)|~humble(X))))&
(![X]:((~wise(X)<~>~brave(X))<=>(wise(X)|~brave(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))&
(((~patient(mary)<~>brave(mar... | generous(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4003735042135800464397432
% SZS output start Proof for 4003735042135800464397432
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (~calm(X0) | brave(X0))) [input p1]
5. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (~brave(X0) | wise(X0))) [input p4]
6. ! [X0] : ((happy(X0) & ~calm(X0)) => rich(X0)) ... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is not creative or funny and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is either not hu... | Susan is funny. | entailment | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![... | funny(susan) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8986454706427697250554824
% SZS output start Proof for 8986454706427697250554824
1. ! [X0] : ((~calm(X0) & ~funny(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : ((calm(X0) <~> ~quiet(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
13. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input ... | 0 |
If someone is either wise or not wise then someone is not curious and vice versa. If susan is both tall and brave then mary is not happy or not quiet and vice versa. If john is rich or not brave then someone is brave. If susan is rich or patient then someone is either not brave or not generous and vice versa. If someon... | Alice is not humble. | contradiction | ((?[X]:((wise(X)<~>~wise(X))))<=>(?[X]:(~curious(X))))&
(((tall(susan)&brave(susan)))<=>((~happy(mary)|~quiet(mary))))&
(((rich(john)|~brave(john)))=>(?[X]:(brave(X))))&
(((rich(susan)|patient(susan)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:(tall(X)))=>((happy(susan)|~wise(susan))))&
(![X]:((~tall(X)&patient(X)... | ~humble(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1534490934574838138989101
% SZS output start Proof for 1534490934574838138989101
19. humble(alice) & happy(alice) [input p18]
25. ~humble(alice) [input hypothesis]
147. humble(alice) [cnf transformation 19]
156. ~humble(alice) [cnf transformation 25]
317. $false [subsumption resolution 15... | 0 |
Everyone who is not old is either kind or humble and vice versa.
Everyone who is either not tall or rich is not wise or humble and vice versa.
Everyone who is creative or calm is funny.
Everyone who is brave or not strong is either not patient or kind.
If john is not tall or strong then alice is both wise and brave.
Ev... | Alice is wise. | entailment | (![X]:(~old(X)<=>(kind(X)<~>humble(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(~wise(X)|humble(X))))&
(![X]:((creative(X)|calm(X))=>funny(X)))&
(![X]:((brave(X)|~strong(X))=>(~patient(X)<~>kind(X))))&
(((~tall(john)|strong(john)))=>((wise(alice)&brave(alice))))&
(![X]:((~funny(X)&patient(X))=>(quiet(X)&kind(X))))&
((?[X]:((~... | wise(alice) | [
"p1",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4178213725119127969663667
% SZS output start Proof for 4178213725119127969663667
2. ! [X0] : ((~tall(X0) <~> rich(X0)) <=> (humble(X0) | ~wise(X0))) [input p1]
5. (strong(john) | ~tall(john)) => (brave(alice) & wise(alice)) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> ~rich(X0)) [... | 0 |
Everyone who is not tall is either creative or tall and vice versa.
Everyone who is humble or wise is not calm.
Everyone who is not strong is either old or not creative and vice versa.
If someone is curious then alice is rich or not calm.
Everyone who is both not creative and not tall is either not creative or not humb... | Lucy is not calm. | entailment | (![X]:(~tall(X)<=>(creative(X)<~>tall(X))))&
(![X]:((humble(X)|wise(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(old(X)<~>~creative(X))))&
((?[X]:(curious(X)))=>((rich(alice)|~calm(alice))))&
(![X]:((~creative(X)&~tall(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:((brave(X)&~curious(X))<=>~calm(X)))&
(![X]:(patient(X)=>wise(X))... | ~calm(lucy) | [
"p0",
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2145406516841131037822632
% SZS output start Proof for 2145406516841131037822632
1. ! [X0] : (~tall(X0) <=> (creative(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((wise(X0) | humble(X0)) => ~calm(X0)) [input p1]
5. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (~creative(X0) <~> ~humble(X0))) [... | 0 |
If someone is either not kind or happy then susan is not old or happy and vice versa. Everyone who is both not tall and not strong is both calm and not curious and vice versa. Everyone who is not old is either not brave or not curious and vice versa. Everyone who is either not generous or happy is both kind and not cre... | Alice is strong. | entailment | ((?[X]:((~kind(X)<~>happy(X))))<=>((~old(susan)|happy(susan))))&
(![X]:((~tall(X)&~strong(X))<=>(calm(X)&~curious(X))))&
(![X]:(~old(X)<=>(~brave(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>happy(X))=>(kind(X)&~creative(X))))&
(((~quiet(lucy)|calm(lucy)))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~generous(X)&tall(X... | strong(alice) | [
"p1",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6504678269550550716819000
% SZS output start Proof for 6504678269550550716819000
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~curious(X0) & calm(X0))) [input p1]
8. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> curious(X0)) [input p7]
19. calm(alice) & ~rich(alice) [input p18]
25. ~strong(alice) ... | 0 |
If someone is wise then someone is not tall or rich.
Everyone who is creative is both not tall and not brave.
If someone is both not wise and funny then someone is both not strong and not old.
Everyone who is both not kind and happy is not strong and vice versa.
Everyone who is not generous is both not old and not stro... | Fred is creative. | contradiction | ((?[X]:(wise(X)))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:(creative(X)=>(~tall(X)&~brave(X))))&
((?[X]:((~wise(X)&funny(X))))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:((~kind(X)&happy(X))<=>~strong(X)))&
(![X]:(~generous(X)<=>(~old(X)&~strong(X))))&
((brave(fred))<=>((patient(mary)|~generous(mary))))&
(((~wise(john)&rich(jo... | creative(fred) | [
"p1",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3417430831059672180641443
% SZS output start Proof for 3417430831059672180641443
2. ! [X0] : (creative(X0) => (~brave(X0) & ~tall(X0))) [input p1]
11. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (tall(X0) & strong(X0))) [input p10]
16. ! [X0] : ((brave(X0) & ~strong(X0)) <=> (funny(X0) |... | 0 |
Everyone who is both generous and strong is either wise or kind and vice versa. Everyone who is not funny is either rich or not funny and vice versa. Everyone who is both rich and not strong is not old or rich. If someone is generous or quiet then someone is not calm or curious. Everyone who is both generous and not ta... | John is wise. | contradiction | (![X]:((generous(X)&strong(X))<=>(wise(X)<~>kind(X))))&
(![X]:(~funny(X)<=>(rich(X)<~>~funny(X))))&
(![X]:((rich(X)&~strong(X))=>(~old(X)|rich(X))))&
((?[X]:((generous(X)|quiet(X))))=>(?[X]:((~calm(X)|curious(X)))))&
(![X]:((generous(X)&~tall(X))=>(humble(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~funny(X)|~generous(X))))... | wise(john) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5779731855320579361638695
% SZS output start Proof for 5779731855320579361638695
1. ! [X0] : ((strong(X0) & generous(X0)) <=> (wise(X0) <~> kind(X0))) [input p0]
2. ! [X0] : (~funny(X0) <=> (rich(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : (~rich(X0) => (tall(X0) | ~generous(X0))) [input ... | 0 |
Everyone who is tall is brave or not generous and vice versa.
If alice is both not tall and calm then someone is both not calm and generous and vice versa.
Everyone who is both not wise and wise is either not patient or funny.
Everyone who is both not strong and curious is either not calm or happy and vice versa.
If fr... | Lucy is kind. | entailment | (![X]:(tall(X)<=>(brave(X)|~generous(X))))&
(((~tall(alice)&calm(alice)))<=>(?[X]:((~calm(X)&generous(X)))))&
(![X]:((~wise(X)&wise(X))=>(~patient(X)<~>funny(X))))&
(![X]:((~strong(X)&curious(X))<=>(~calm(X)<~>happy(X))))&
(((~calm(fred)<~>humble(fred)))=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X)... | kind(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4457450497686746769710645
% SZS output start Proof for 4457450497686746769710645
10. ! [X0] : ((~rich(X0) | tall(X0)) => kind(X0)) [input p9]
15. ! [X0] : ((~tall(X0) | ~generous(X0)) => kind(X0)) [input p14]
23. ~kind(lucy) [input hypothesis]
31. ! [X0] : (kind(X0) | (rich(X0) & ~tall(X0... | 0 |
If someone is not quiet then fred is both generous and not happy. Everyone who is either not calm or not funny is both tall and kind. Everyone who is either strong or curious is not curious or not happy and vice versa. Everyone who is both not calm and not funny is both not rich and not brave and vice versa. Everyone w... | Alice is patient. | contradiction | ((?[X]:(~quiet(X)))=>((generous(fred)&~happy(fred))))&
(![X]:((~calm(X)<~>~funny(X))=>(tall(X)&kind(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~curious(X)|~happy(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>~curious(X)))&
((?[X]:((~humble(X)|wise(X))))=>((~rich(susan)|quiet(s... | patient(alice) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5477658876451697683682835
% SZS output start Proof for 5477658876451697683682835
2. ! [X0] : ((~calm(X0) <~> ~funny(X0)) => (kind(X0) & tall(X0))) [input p1]
4. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> (~brave(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~curious(X0... | 0 |
Everyone who is generous or not patient is both not calm and generous and vice versa.
Everyone who is both not creative and strong is kind or wise.
If mary is creative or kind then fred is not strong.
If someone is not quiet or not funny then fred is calm.
If someone is patient or brave then someone is not curious or h... | Mary is strong. | neutral | (![X]:((generous(X)|~patient(X))<=>(~calm(X)&generous(X))))&
(![X]:((~creative(X)&strong(X))=>(kind(X)|wise(X))))&
(((creative(mary)|kind(mary)))=>(~strong(fred)))&
((?[X]:((~quiet(X)|~funny(X))))=>(calm(fred)))&
((?[X]:((patient(X)|brave(X))))=>(?[X]:((~curious(X)|humble(X)))))&
(![X]:((strong(X)|~tall(X))<=>(strong(X... | strong(mary) | [] | null | 0 |
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