premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not quiet or brave then paul is calm.
Everyone who is either patient or not funny is both not generous and curious.
If john is either brave or funny then paul is not calm.
If susan is both strong and not tall then paul is either not curious or not brave.
If someone is either not strong or generous ... | Paul is not quiet. | contradiction | ((?[X]:((~quiet(X)<~>brave(X))))=>(calm(paul)))&
(![X]:((patient(X)<~>~funny(X))=>(~generous(X)&curious(X))))&
(((brave(john)<~>funny(john)))=>(~calm(paul)))&
(((strong(susan)&~tall(susan)))=>((~curious(paul)<~>~brave(paul))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(X)|~wise... | ~quiet(paul) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1356341846833381083461183
% SZS output start Proof for 1356341846833381083461183
7. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> (~quiet(X0) | ~creative(X0))) [input p6]
10. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p9]
21. ~quiet(paul) [input hypothesis]
38. ! [X0] : (((~qui... | 0 |
Everyone who is not curious or old is either not happy or generous and vice versa.
If someone is either strong or not calm then fred is not creative.
If paul is calm then mary is both not humble and not rich.
If susan is not creative then someone is both not creative and patient and vice versa.
Everyone who is not curi... | Paul is humble. | entailment | (![X]:((~curious(X)|old(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>(~creative(fred)))&
((calm(paul))=>((~humble(mary)&~rich(mary))))&
((~creative(susan))<=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((g... | humble(paul) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2016324971821517205114879
% SZS output start Proof for 2016324971821517205114879
7. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p6]
15. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0))) [input p14]
16. ! [X0] : (tall(X0) <=> (wise(X0)... | 0 |
If lucy is tall then someone is not calm or not old and vice versa.
If john is either not tall or rich then lucy is old or patient and vice versa.
Everyone who is patient is both humble and rich.
Everyone who is both quiet and not generous is both not rich and curious.
Everyone who is funny is either not happy or not p... | Paul is not wise. | neutral | ((tall(lucy))<=>(?[X]:((~calm(X)|~old(X)))))&
(((~tall(john)<~>rich(john)))<=>((old(lucy)|patient(lucy))))&
(![X]:(patient(X)=>(humble(X)&rich(X))))&
(![X]:((quiet(X)&~generous(X))=>(~rich(X)&curious(X))))&
(![X]:(funny(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((calm(X)&~quiet(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((gen... | ~wise(paul) | [] | null | 0 |
Everyone who is both humble and curious is humble and vice versa.
Everyone who is both not tall and humble is not rich or not generous and vice versa.
If mary is both happy and not old then someone is not humble.
If someone is happy then susan is both not curious and not generous.
Everyone who is generous or not brave ... | Mary is old. | neutral | (![X]:((humble(X)&curious(X))<=>humble(X)))&
(![X]:((~tall(X)&humble(X))<=>(~rich(X)|~generous(X))))&
(((happy(mary)&~old(mary)))=>(?[X]:(~humble(X))))&
((?[X]:(happy(X)))=>((~curious(susan)&~generous(susan))))&
(![X]:((generous(X)|~brave(X))=>(~wise(X)<~>tall(X))))&
((~patient(john))=>(?[X]:((rich(X)<~>kind(X)))))&
(!... | old(mary) | [] | null | 0 |
If someone is either creative or tall then someone is both rich and not humble and vice versa. Everyone who is both not old and wise is not generous or not curious and vice versa. If alice is funny or not curious then someone is not happy or not rich. Everyone who is old or not rich is not wise or calm and vice versa. ... | Alice is not calm. | neutral | ((?[X]:((creative(X)<~>tall(X))))<=>(?[X]:((rich(X)&~humble(X)))))&
(![X]:((~old(X)&wise(X))<=>(~generous(X)|~curious(X))))&
(((funny(alice)|~curious(alice)))=>(?[X]:((~happy(X)|~rich(X)))))&
(![X]:((old(X)|~rich(X))<=>(~wise(X)|calm(X))))&
(![X]:(creative(X)=>rich(X)))&
((?[X]:((~happy(X)&patient(X))))=>((~calm(alice)... | ~calm(alice) | [] | null | 0 |
If someone is not happy then someone is not quiet or not patient.
If mary is not calm or old then john is not kind or not curious.
If lucy is calm or not brave then someone is creative or strong.
If someone is not kind then someone is curious.
If fred is both not humble and brave then mary is both not old and not humbl... | Lucy is not brave. | neutral | ((?[X]:(~happy(X)))=>(?[X]:((~quiet(X)|~patient(X)))))&
(((~calm(mary)|old(mary)))=>((~kind(john)|~curious(john))))&
(((calm(lucy)|~brave(lucy)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:(~kind(X)))=>(?[X]:(curious(X))))&
(((~humble(fred)&brave(fred)))=>((~old(mary)&~humble(mary))))&
(![X]:((patient(X)<~>calm(X))<=>~... | ~brave(lucy) | [] | null | 0 |
If paul is brave or not brave then someone is both humble and not creative and vice versa. Everyone who is either not creative or creative is both not tall and rich. If someone is either not calm or calm then mary is both not happy and brave and vice versa. Everyone who is either not strong or not patient is either wis... | Lucy is not quiet. | neutral | (((brave(paul)|~brave(paul)))<=>(?[X]:((humble(X)&~creative(X)))))&
(![X]:((~creative(X)<~>creative(X))=>(~tall(X)&rich(X))))&
((?[X]:((~calm(X)<~>calm(X))))<=>((~happy(mary)&brave(mary))))&
(![X]:((~strong(X)<~>~patient(X))=>(wise(X)<~>~tall(X))))&
(![X]:(generous(X)<=>~curious(X)))&
((?[X]:(~kind(X)))=>(?[X]:((patien... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both patient and creative is not curious.
If someone is either calm or quiet then someone is either kind or tall.
Everyone who is strong is not rich and vice versa.
Everyone who is either not rich or creative is both curious and not calm.
If susan is both not curious and not rich then someone is wise or... | Paul is not wise. | contradiction | (![X]:((patient(X)&creative(X))=>~curious(X)))&
((?[X]:((calm(X)<~>quiet(X))))=>(?[X]:((kind(X)<~>tall(X)))))&
(![X]:(strong(X)<=>~rich(X)))&
(![X]:((~rich(X)<~>creative(X))=>(curious(X)&~calm(X))))&
(((~curious(susan)&~rich(susan)))<=>(?[X]:((wise(X)|~humble(X)))))&
(![X]:((wise(X)&curious(X))<=>(~quiet(X)<~>~wise(X))... | ~wise(paul) | [
"p2",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4504803721469824437324356
% SZS output start Proof for 4504803721469824437324356
3. ! [X0] : (strong(X0) <=> ~rich(X0)) [input p2]
10. ! [X0] : (strong(X0) <=> ~patient(X0)) [input p9]
16. ? [X0] : rich(X0) => (wise(paul) & ~brave(paul)) [input p15]
23. ? [X0] : patient(X0) [input p22]
25... | 0 |
If someone is not curious then someone is tall or not creative and vice versa.
If lucy is patient or not strong then someone is both not kind and not strong.
Everyone who is tall or creative is both calm and not patient.
Everyone who is not brave is both brave and not curious and vice versa.
Everyone who is both not st... | Susan is humble. | entailment | ((?[X]:(~curious(X)))<=>(?[X]:((tall(X)|~creative(X)))))&
(((patient(lucy)|~strong(lucy)))=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:((tall(X)|creative(X))=>(calm(X)&~patient(X))))&
(![X]:(~brave(X)<=>(brave(X)&~curious(X))))&
(![X]:((~strong(X)&creative(X))=>(curious(X)<~>funny(X))))&
((?[X]:((~old(X)|~creative(X))))<=>... | humble(susan) | [
"p0",
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8717790562756466601105884
% SZS output start Proof for 8717790562756466601105884
1. ? [X0] : ~curious(X0) <=> ? [X0] : (~creative(X0) | tall(X0)) [input p0]
3. ! [X0] : ((creative(X0) | tall(X0)) => (~patient(X0) & calm(X0))) [input p2]
4. ! [X0] : (~brave(X0) <=> (~curious(X0) & brave(X0... | 0 |
If susan is both brave and not creative then john is generous and vice versa.
If someone is both not funny and tall then fred is both patient and tall.
Everyone who is happy is either wise or not kind.
Everyone who is either curious or not wise is not humble and vice versa.
Everyone who is either not kind or not funny ... | Alice is generous. | neutral | (((brave(susan)&~creative(susan)))<=>(generous(john)))&
((?[X]:((~funny(X)&tall(X))))=>((patient(fred)&tall(fred))))&
(![X]:(happy(X)=>(wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>~wise(X))<=>~humble(X)))&
(![X]:((~kind(X)<~>~funny(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~kind(X)|~humble(X))<=>(curious(X)&~calm(X))))&
... | generous(alice) | [] | null | 0 |
If paul is not tall then lucy is not strong and vice versa. If someone is not generous or humble then someone is both happy and not rich and vice versa. Everyone who is not old is either not funny or generous. Everyone who is happy is both not old and not patient and vice versa. Everyone who is both not creative and ol... | Lucy is curious. | entailment | ((~tall(paul))<=>(~strong(lucy)))&
((?[X]:((~generous(X)|humble(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:(~old(X)=>(~funny(X)<~>generous(X))))&
(![X]:(happy(X)<=>(~old(X)&~patient(X))))&
(![X]:((~creative(X)&old(X))<=>(~patient(X)<~>~old(X))))&
(![X]:((tall(X)<~>~funny(X))=>(calm(X)<~>old(X))))&
(![X]:((~curious(X)... | curious(lucy) | [
"p4",
"p6",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4102601836831331031489916
% SZS output start Proof for 4102601836831331031489916
5. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~patient(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & generous(X0))) [input p6]
11. ! [X0] : ((creative(X0) | ~rich(X0))... | 0 |
If alice is either curious or generous then someone is both not patient and funny. If someone is either rich or not creative then someone is not calm or strong. If someone is both not curious and wise then fred is kind or rich and vice versa. Everyone who is brave or creative is not humble or not quiet. Everyone who is... | Mary is generous. | contradiction | (((curious(alice)<~>generous(alice)))=>(?[X]:((~patient(X)&funny(X)))))&
((?[X]:((rich(X)<~>~creative(X))))=>(?[X]:((~calm(X)|strong(X)))))&
((?[X]:((~curious(X)&wise(X))))<=>((kind(fred)|rich(fred))))&
(![X]:((brave(X)|creative(X))=>(~humble(X)|~quiet(X))))&
(![X]:((~humble(X)|calm(X))<=>(strong(X)|~wise(X))))&
((?[X]... | generous(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8332135732620072883108562
% SZS output start Proof for 8332135732620072883108562
13. ! [X0] : (~generous(X0) <=> (wise(X0) <~> ~wise(X0))) [input p12]
25. generous(mary) [input hypothesis]
79. ! [X0] : ((~generous(X0) | ((wise(X0) | wise(X0)) & (~wise(X0) | ~wise(X0)))) & (((wise(X0) | ~w... | 0 |
Everyone who is both not calm and not wise is kind or not rich and vice versa.
Everyone who is both rich and not curious is not kind.
If john is old then john is both not old and curious and vice versa.
If someone is not patient or not kind then fred is either kind or not wise and vice versa.
Everyone who is either not... | Fred is kind. | contradiction | (![X]:((~calm(X)&~wise(X))<=>(kind(X)|~rich(X))))&
(![X]:((rich(X)&~curious(X))=>~kind(X)))&
((old(john))<=>((~old(john)&curious(john))))&
((?[X]:((~patient(X)|~kind(X))))<=>((kind(fred)<~>~wise(fred))))&
(![X]:((~generous(X)<~>creative(X))=>(~brave(X)|~old(X))))&
(((happy(john)&patient(john)))=>((curious(lucy)&~old(lu... | kind(fred) | [
"p0",
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4468208302883759179355933
% SZS output start Proof for 4468208302883759179355933
1. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> (~rich(X0) | kind(X0))) [input p0]
4. ? [X0] : (~kind(X0) | ~patient(X0)) <=> (kind(fred) <~> ~wise(fred)) [input p3]
23. ? [X0] : calm(X0) [input p22]
24. kind(fred) ... | 0 |
If someone is both not creative and tall then someone is not generous or rich and vice versa.
If someone is either not tall or not patient then someone is not funny.
If lucy is not kind then john is both funny and not strong and vice versa.
Everyone who is tall is brave or not generous and vice versa.
Everyone who is e... | Lucy is not funny. | contradiction | ((?[X]:((~creative(X)&tall(X))))<=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~tall(X)<~>~patient(X))))=>(?[X]:(~funny(X))))&
((~kind(lucy))<=>((funny(john)&~strong(john))))&
(![X]:(tall(X)<=>(brave(X)|~generous(X))))&
(![X]:((curious(X)<~>rich(X))<=>(~wise(X)|~tall(X))))&
(((~tall(john)&funny(john)))<=>(?[X]:(~tall(X)... | ~funny(lucy) | [
"p12",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1648299156970167846112015
% SZS output start Proof for 1648299156970167846112015
13. ! [X0] : ((calm(X0) | ~brave(X0)) => (wise(X0) & old(X0))) [input p12]
17. ~funny(lucy) <~> old(lucy) [input p16]
19. ~brave(lucy) [input p18]
24. ~funny(lucy) [input hypothesis]
35. ! [X0] : ((wise(X0) &... | 0 |
If someone is both not patient and rich then mary is both funny and not humble.
Everyone who is either kind or calm is creative.
Everyone who is not old or wise is both calm and not wise.
If paul is strong then someone is not curious and vice versa.
Everyone who is both not happy and not funny is creative or not brave ... | Paul is curious. | contradiction | ((?[X]:((~patient(X)&rich(X))))=>((funny(mary)&~humble(mary))))&
(![X]:((kind(X)<~>calm(X))=>creative(X)))&
(![X]:((~old(X)|wise(X))=>(calm(X)&~wise(X))))&
((strong(paul))<=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)&~funny(X))<=>(creative(X)|~brave(X))))&
(![X]:((creative(X)|~tall(X))<=>(happy(X)<~>~curious(X))))&
(![X]... | curious(paul) | [
"p3",
"p4",
"p5",
"p10",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3254615687920094313354384
% SZS output start Proof for 3254615687920094313354384
4. strong(paul) <=> ? [X0] : ~curious(X0) [input p3]
5. ! [X0] : ((~funny(X0) & ~happy(X0)) <=> (~brave(X0) | creative(X0))) [input p4]
6. ! [X0] : ((~tall(X0) | creative(X0)) <=> (happy(X0) <~> ~curious(X0))... | 0 |
Everyone who is either not calm or not humble is either not brave or not rich and vice versa. Everyone who is both not funny and not wise is not rich or not creative and vice versa. If alice is both not rich and old then john is not strong or patient and vice versa. If alice is wise or old then someone is either genero... | Alice is not kind. | contradiction | (![X]:((~calm(X)<~>~humble(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((~funny(X)&~wise(X))<=>(~rich(X)|~creative(X))))&
(((~rich(alice)&old(alice)))<=>((~strong(john)|patient(john))))&
(((wise(alice)|old(alice)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(wise(X)<=>(~kind(X)<~>~funny(X))))&
(![X]:((generous(X)&happy(X... | ~kind(alice) | [
"p1",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4830900245124251917630955
% SZS output start Proof for 4830900245124251917630955
2. ! [X0] : ((~wise(X0) & ~funny(X0)) <=> (~creative(X0) | ~rich(X0))) [input p1]
6. ! [X0] : ((happy(X0) & generous(X0)) <=> (~wise(X0) | rich(X0))) [input p5]
12. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> ~h... | 0 |
Everyone who is either quiet or curious is generous and vice versa.
If john is both not calm and generous then alice is both happy and not strong and vice versa.
Everyone who is not humble is not rich and vice versa.
If someone is old or calm then someone is calm.
Everyone who is both kind and not humble is both not wi... | Susan is not strong. | contradiction | (![X]:((quiet(X)<~>curious(X))<=>generous(X)))&
(((~calm(john)&generous(john)))<=>((happy(alice)&~strong(alice))))&
(![X]:(~humble(X)<=>~rich(X)))&
((?[X]:((old(X)|calm(X))))=>(?[X]:(calm(X))))&
(![X]:((kind(X)&~humble(X))=>(~wise(X)&~patient(X))))&
((?[X]:((quiet(X)|~strong(X))))=>(?[X]:((~strong(X)&rich(X)))))&
(((~h... | ~strong(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 725301266829159552217377
% SZS output start Proof for 725301266829159552217377
17. strong(susan) & ~quiet(susan) [input p16]
25. ~strong(susan) [input hypothesis]
140. strong(susan) [cnf transformation 17]
153. ~strong(susan) [cnf transformation 25]
364. $false [subsumption resolution 153... | 0 |
Everyone who is both not patient and happy is either not funny or brave and vice versa.
Everyone who is curious or humble is either not brave or patient and vice versa.
If someone is not calm then someone is not generous and vice versa.
If mary is funny or not strong then lucy is not happy and vice versa.
Everyone who ... | Paul is not tall. | entailment | (![X]:((~patient(X)&happy(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((curious(X)|humble(X))<=>(~brave(X)<~>patient(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~generous(X))))&
(((funny(mary)|~strong(mary)))<=>(~happy(lucy)))&
(![X]:((~calm(X)|~happy(X))<=>(~old(X)|~kind(X))))&
((brave(fred))=>((~old(john)|brave(john))))&
(![X]:(~ki... | ~tall(paul) | [
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4941485399745933528382468
% SZS output start Proof for 4941485399745933528382468
7. ! [X0] : (~kind(X0) <=> (~funny(X0) <~> kind(X0))) [input p6]
8. ! [X0] : ((old(X0) | ~funny(X0)) <=> (brave(X0) & happy(X0))) [input p7]
13. ? [X0] : (tall(X0) | calm(X0)) => ~brave(alice) [input p12]
22.... | 0 |
Everyone who is tall or humble is not curious or humble and vice versa.
Everyone who is not happy or not humble is either not rich or brave and vice versa.
Everyone who is not strong or not brave is not old and vice versa.
If someone is either old or not generous then lucy is patient or calm.
Everyone who is not funny ... | John is strong. | neutral | (![X]:((tall(X)|humble(X))<=>(~curious(X)|humble(X))))&
(![X]:((~happy(X)|~humble(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~strong(X)|~brave(X))<=>~old(X)))&
((?[X]:((old(X)<~>~generous(X))))=>((patient(lucy)|calm(lucy))))&
(![X]:((~funny(X)|quiet(X))=>(patient(X)<~>generous(X))))&
(![X]:(brave(X)=>(curious(X)|~generous(... | strong(john) | [] | null | 0 |
Everyone who is rich or not calm is patient or strong. Everyone who is both curious and not old is either not rich or strong and vice versa. Everyone who is brave is both not funny and kind and vice versa. If john is either rich or curious then someone is not humble and vice versa. If someone is funny then susan is old... | John is kind. | contradiction | (![X]:((rich(X)|~calm(X))=>(patient(X)|strong(X))))&
(![X]:((curious(X)&~old(X))<=>(~rich(X)<~>strong(X))))&
(![X]:(brave(X)<=>(~funny(X)&kind(X))))&
(((rich(john)<~>curious(john)))<=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>((old(susan)|~humble(susan))))&
(((~quiet(lucy)<~>happy(lucy)))=>(~creative(paul)))&
(((humbl... | kind(john) | [
"p1",
"p2",
"p3",
"p9",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2985459885631937279718851
% SZS output start Proof for 2985459885631937279718851
2. ! [X0] : ((~old(X0) & curious(X0)) <=> (~rich(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. (rich(john) <~> curious(john)) <=> ? [X0] : ~humble(X0) [inpu... | 0 |
If someone is both patient and not strong then alice is funny and vice versa.
If fred is not humble then someone is wise or not creative and vice versa.
If mary is both not patient and calm then john is not creative or not rich and vice versa.
If someone is both calm and not patient then someone is either kind or wise.... | Paul is not generous. | contradiction | ((?[X]:((patient(X)&~strong(X))))<=>(funny(alice)))&
((~humble(fred))<=>(?[X]:((wise(X)|~creative(X)))))&
(((~patient(mary)&calm(mary)))<=>((~creative(john)|~rich(john))))&
((?[X]:((calm(X)&~patient(X))))=>(?[X]:((kind(X)<~>wise(X)))))&
(((~old(john)<~>~generous(john)))<=>(?[X]:((~creative(X)&happy(X)))))&
((?[X]:(~old... | ~generous(paul) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7308552004136075011395033
% SZS output start Proof for 7308552004136075011395033
8. ! [X0] : ((generous(X0) <~> ~brave(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p7]
11. ! [X0] : ((tall(X0) | brave(X0)) <=> ~tall(X0)) [input p10]
23. ~generous(paul) [input hypothesis]
64. ! [X0] : ((((brav... | 0 |
If someone is both humble and not brave then mary is both kind and not humble and vice versa. Everyone who is not happy or rich is both not calm and not rich and vice versa. If lucy is either kind or not quiet then lucy is either generous or not calm. Everyone who is either strong or not quiet is either not calm or not... | John is quiet. | neutral | ((?[X]:((humble(X)&~brave(X))))<=>((kind(mary)&~humble(mary))))&
(![X]:((~happy(X)|rich(X))<=>(~calm(X)&~rich(X))))&
(((kind(lucy)<~>~quiet(lucy)))=>((generous(lucy)<~>~calm(lucy))))&
(![X]:((strong(X)<~>~quiet(X))=>(~calm(X)<~>~curious(X))))&
(![X]:(~humble(X)<=>(~happy(X)|curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((ki... | quiet(john) | [] | null | 0 |
Everyone who is not curious or not generous is either not curious or not brave.
Everyone who is not generous or curious is not curious or funny.
If someone is either curious or rich then someone is either not brave or not calm and vice versa.
Everyone who is not quiet or rich is either old or not humble.
Everyone who i... | John is strong. | contradiction | (![X]:((~curious(X)|~generous(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((~generous(X)|curious(X))=>(~curious(X)|funny(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>(?[X]:((~brave(X)<~>~calm(X)))))&
(![X]:((~quiet(X)|rich(X))=>(old(X)<~>~humble(X))))&
(![X]:(funny(X)=>~strong(X)))&
(![X]:((strong(X)<~>~happy(X))=>(patient(X)... | strong(john) | [
"p0",
"p1",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2880560953462707449390057
% SZS output start Proof for 2880560953462707449390057
1. ! [X0] : ((~generous(X0) | ~curious(X0)) => (~curious(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~generous(X0)) => (funny(X0) | ~curious(X0))) [input p1]
5. ! [X0] : (funny(X0) => ~strong(... | 0 |
Everyone who is not happy or not strong is not happy.
Everyone who is old or not creative is either wise or not brave and vice versa.
If someone is both humble and tall then someone is both calm and funny.
If alice is not quiet then mary is either happy or kind and vice versa.
If someone is curious or old then susan is... | Lucy is not rich. | entailment | (![X]:((~happy(X)|~strong(X))=>~happy(X)))&
(![X]:((old(X)|~creative(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((humble(X)&tall(X))))=>(?[X]:((calm(X)&funny(X)))))&
((~quiet(alice))<=>((happy(mary)<~>kind(mary))))&
((?[X]:((curious(X)|old(X))))=>((~funny(susan)|tall(susan))))&
(![X]:((old(X)<~>~happy(X))=>wise(X)))&
(![X]:... | ~rich(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5288423063113629028854802
% SZS output start Proof for 5288423063113629028854802
7. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> happy(X0)) [input p6]
25. rich(lucy) [input hypothesis]
49. ! [X0] : ((((happy(X0) | rich(X0)) & (~happy(X0) | ~rich(X0))) | ~happy(X0)) & (happy(X0) | ((~rich(X0) ... | 0 |
If someone is both humble and not brave then mary is both brave and kind and vice versa. If someone is happy or strong then john is both kind and not creative and vice versa. Everyone who is not rich is both funny and strong. Everyone who is both wise and tall is either not humble or not curious and vice versa. Everyon... | Paul is old. | contradiction | ((?[X]:((humble(X)&~brave(X))))<=>((brave(mary)&kind(mary))))&
((?[X]:((happy(X)|strong(X))))<=>((kind(john)&~creative(john))))&
(![X]:(~rich(X)=>(funny(X)&strong(X))))&
(![X]:((wise(X)&tall(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((brave(X)|creative(X))=>(kind(X)|creative(X))))&
(((~patient(lucy)|~curious(lucy)))=>(... | old(paul) | [
"p6",
"p7",
"p9",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1456765624528031392392911
% SZS output start Proof for 1456765624528031392392911
7. ! [X0] : ((~calm(X0) | ~strong(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : ((~happy(X0) | wise(X0)) => (~patient(X0) | ~strong(X0))) [input p7]
10. ? [X0] : (~rich(X0) | ~happy(X0)) <=> ~happy(paul) [inpu... | 0 |
Everyone who is both not old and not creative is tall or patient and vice versa. Everyone who is either humble or old is either not strong or curious. Everyone who is both rich and not patient is both not old and brave and vice versa. Everyone who is rich is either not brave or brave. If someone is both not happy and r... | Alice is strong. | neutral | (![X]:((~old(X)&~creative(X))<=>(tall(X)|patient(X))))&
(![X]:((humble(X)<~>old(X))=>(~strong(X)<~>curious(X))))&
(![X]:((rich(X)&~patient(X))<=>(~old(X)&brave(X))))&
(![X]:(rich(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(humble(paul)))&
(((~patient(john)&~old(john)))<=>(?[X]:((wise(X)&~patient(X)))... | strong(alice) | [] | null | 0 |
Everyone who is either not creative or not generous is rich and vice versa.
Everyone who is not brave or not strong is both not old and not wise and vice versa.
If someone is creative or patient then paul is brave and vice versa.
Everyone who is humble is both funny and not quiet.
Everyone who is funny is both happy an... | Alice is not rich. | neutral | (![X]:((~creative(X)<~>~generous(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~old(X)&~wise(X))))&
((?[X]:((creative(X)|patient(X))))<=>(brave(paul)))&
(![X]:(humble(X)=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>(happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>... | ~rich(alice) | [] | null | 0 |
Everyone who is not kind or not creative is both calm and curious and vice versa. If someone is happy then someone is both not curious and old and vice versa. If someone is either generous or funny then lucy is happy. If lucy is brave or not brave then someone is not wise and vice versa. If alice is both patient and st... | Susan is wise. | neutral | (![X]:((~kind(X)|~creative(X))<=>(calm(X)&curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~curious(X)&old(X)))))&
((?[X]:((generous(X)<~>funny(X))))=>(happy(lucy)))&
(((brave(lucy)|~brave(lucy)))<=>(?[X]:(~wise(X))))&
(((patient(alice)&strong(alice)))<=>((creative(alice)|~brave(alice))))&
(![X]:((~creative(X)&~quiet(X))=>(... | wise(susan) | [] | null | 0 |
Everyone who is kind or not tall is not creative and vice versa. If susan is not brave then someone is either not brave or not humble and vice versa. Everyone who is not strong or creative is both not old and not strong. Everyone who is both humble and funny is either not creative or kind. If someone is both not genero... | Paul is old. | contradiction | (![X]:((kind(X)|~tall(X))<=>~creative(X)))&
((~brave(susan))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:((~strong(X)|creative(X))=>(~old(X)&~strong(X))))&
(![X]:((humble(X)&funny(X))=>(~creative(X)<~>kind(X))))&
((?[X]:((~generous(X)&old(X))))<=>(?[X]:((wise(X)<~>kind(X)))))&
((?[X]:(tall(X)))=>(?[X]:((~patient(X)|~ca... | old(paul) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7450088987131230686958771
% SZS output start Proof for 7450088987131230686958771
3. ! [X0] : ((creative(X0) | ~strong(X0)) => (~strong(X0) & ~old(X0))) [input p2]
24. ~strong(paul) <~> ~old(paul) [input p23]
25. old(paul) [input hypothesis]
30. ! [X0] : ((~strong(X0) & ~old(X0)) | (~creat... | 0 |
Everyone who is curious is either strong or happy and vice versa. Everyone who is old is calm or not wise and vice versa. Everyone who is happy or strong is not strong. Everyone who is both quiet and not brave is either tall or not brave and vice versa. If lucy is both old and not generous then paul is either calm or n... | John is not rich. | entailment | (![X]:(curious(X)<=>(strong(X)<~>happy(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(![X]:((happy(X)|strong(X))=>~strong(X)))&
(![X]:((quiet(X)&~brave(X))<=>(tall(X)<~>~brave(X))))&
(((old(lucy)&~generous(lucy)))=>((calm(paul)<~>~tall(paul))))&
(![X]:((creative(X)|wise(X))<=>(calm(X)<~>strong(X))))&
(![X]:((~wise(X)<~>... | ~rich(john) | [
"p1",
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2302944526056184557579437
% SZS output start Proof for 2302944526056184557579437
2. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p1]
3. ! [X0] : ((strong(X0) | happy(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((wise(X0) | creative(X0)) <=> (calm(X0) <~> strong(X0))) [input p5]
9.... | 0 |
Everyone who is either happy or not curious is either curious or not creative.
If someone is both rich and funny then fred is both kind and generous and vice versa.
If lucy is kind or not creative then lucy is not rich and vice versa.
Everyone who is both not wise and rich is wise or not strong and vice versa.
Everyone... | Lucy is funny. | contradiction | (![X]:((happy(X)<~>~curious(X))=>(curious(X)<~>~creative(X))))&
((?[X]:((rich(X)&funny(X))))<=>((kind(fred)&generous(fred))))&
(((kind(lucy)|~creative(lucy)))<=>(~rich(lucy)))&
(![X]:((~wise(X)&rich(X))<=>(wise(X)|~strong(X))))&
(![X]:(~curious(X)=>(~wise(X)|old(X))))&
((~generous(susan))<=>((tall(fred)<~>~patient(fred... | funny(lucy) | [
"p2",
"p3",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6223368099800367986695754
% SZS output start Proof for 6223368099800367986695754
3. (~creative(lucy) | kind(lucy)) <=> ~rich(lucy) [input p2]
4. ! [X0] : ((rich(X0) & ~wise(X0)) <=> (~strong(X0) | wise(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | funny(X0)) => (~strong(X0) | rich(X0))) [... | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Mary is not curious. | contradiction | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | ~curious(mary) | [
"p1",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6824597445331532016574368
% SZS output start Proof for 6824597445331532016574368
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (kind(X0) & happy(X0))) [input p1]
12. ! [X0] : (~humble(X0) => (~quiet(X0) & ~calm(X0))) [input p11]
13. ! [X0] : ((curious(X0) & happy(X0)) <=> (happy(X0) | ~qui... | 0 |
If mary is not humble or not creative then lucy is either not generous or kind and vice versa.
If someone is rich or not happy then someone is not wise and vice versa.
Everyone who is both rich and calm is either curious or strong.
If mary is curious or kind then paul is not patient.
Everyone who is not strong or patie... | Fred is patient. | contradiction | (((~humble(mary)|~creative(mary)))<=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy... | patient(fred) | [
"p4",
"p7",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2212207547425429134355901
% SZS output start Proof for 2212207547425429134355901
5. ! [X0] : ((patient(X0) | ~strong(X0)) <=> ~generous(X0)) [input p4]
8. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p7]
15. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))... | 0 |
If someone is both not happy and not funny then someone is either not strong or calm. Everyone who is not wise is rich. If someone is rich then john is strong. Everyone who is not quiet or not curious is both generous and not calm and vice versa. Everyone who is either generous or quiet is not kind or not happy and vic... | Paul is not tall. | neutral | ((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:(~wise(X)=>rich(X)))&
((?[X]:(rich(X)))=>(strong(john)))&
(![X]:((~quiet(X)|~curious(X))<=>(generous(X)&~calm(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~calm(... | ~tall(paul) | [] | null | 0 |
If someone is both not patient and kind then lucy is either funny or humble. Everyone who is not tall is either strong or not calm and vice versa. Everyone who is funny is not tall or not calm and vice versa. Everyone who is not funny or funny is tall or generous. Everyone who is both not happy and strong is rich or ki... | Fred is not old. | contradiction | ((?[X]:((~patient(X)&kind(X))))=>((funny(lucy)<~>humble(lucy))))&
(![X]:(~tall(X)<=>(strong(X)<~>~calm(X))))&
(![X]:(funny(X)<=>(~tall(X)|~calm(X))))&
(![X]:((~funny(X)|funny(X))=>(tall(X)|generous(X))))&
(![X]:((~happy(X)&strong(X))<=>(rich(X)|kind(X))))&
(![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wi... | ~old(fred) | [
"p1",
"p2",
"p4",
"p5",
"p10",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1059438893368084711185199
% SZS output start Proof for 1059438893368084711185199
2. ! [X0] : (~tall(X0) <=> (strong(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : (funny(X0) <=> (~calm(X0) | ~tall(X0))) [input p2]
5. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (kind(X0) | rich(X0))) [input p4]
6.... | 0 |
If someone is brave or not generous then john is not calm and vice versa. Everyone who is both not tall and not brave is either rich or calm and vice versa. Everyone who is curious or brave is generous and vice versa. Everyone who is old is strong or old and vice versa. Everyone who is not calm or not quiet is patient ... | Lucy is old. | entailment | ((?[X]:((brave(X)|~generous(X))))<=>(~calm(john)))&
(![X]:((~tall(X)&~brave(X))<=>(rich(X)<~>calm(X))))&
(![X]:((curious(X)|brave(X))<=>generous(X)))&
(![X]:(old(X)<=>(strong(X)|old(X))))&
(![X]:((~calm(X)|~quiet(X))=>(patient(X)|brave(X))))&
((?[X]:((~brave(X)&creative(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![... | old(lucy) | [
"p3",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4782652641219906957591144
% SZS output start Proof for 4782652641219906957591144
4. ! [X0] : (old(X0) <=> (old(X0) | strong(X0))) [input p3]
7. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | humble(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (humble(X0) | happy(X0))) [input p13... | 0 |
Everyone who is both kind and rich is both not strong and not old and vice versa.
If mary is either not tall or tall then alice is both rich and wise and vice versa.
If someone is not kind or not old then mary is both funny and not strong and vice versa.
If mary is both not humble and wise then someone is both not gene... | Alice is not humble. | contradiction | (![X]:((kind(X)&rich(X))<=>(~strong(X)&~old(X))))&
(((~tall(mary)<~>tall(mary)))<=>((rich(alice)&wise(alice))))&
((?[X]:((~kind(X)|~old(X))))<=>((funny(mary)&~strong(mary))))&
(((~humble(mary)&wise(mary)))=>(?[X]:((~generous(X)&old(X)))))&
(![X]:(wise(X)<=>~quiet(X)))&
((?[X]:((~curious(X)<~>generous(X))))<=>(?[X]:((cr... | ~humble(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5821677736917715101491052
% SZS output start Proof for 5821677736917715101491052
13. ! [X0] : ((humble(X0) & ~creative(X0)) <=> ~humble(X0)) [input p12]
24. ~humble(alice) [input hypothesis]
71. ! [X0] : (((humble(X0) & ~creative(X0)) | humble(X0)) & (~humble(X0) | (~humble(X0) | creative... | 0 |
If john is quiet then someone is either humble or not patient and vice versa.
Everyone who is either wise or happy is both creative and not generous and vice versa.
Everyone who is generous is both not strong and not curious.
If someone is not calm or generous then alice is both wise and not humble.
Everyone who is not... | John is patient. | contradiction | ((quiet(john))<=>(?[X]:((humble(X)<~>~patient(X)))))&
(![X]:((wise(X)<~>happy(X))<=>(creative(X)&~generous(X))))&
(![X]:(generous(X)=>(~strong(X)&~curious(X))))&
((?[X]:((~calm(X)|generous(X))))=>((wise(alice)&~humble(alice))))&
(![X]:((~strong(X)|~creative(X))=>~patient(X)))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:(~... | patient(john) | [
"p1",
"p2",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8284924939005934200845984
% SZS output start Proof for 8284924939005934200845984
2. ! [X0] : ((wise(X0) <~> happy(X0)) <=> (~generous(X0) & creative(X0))) [input p1]
3. ! [X0] : (generous(X0) => (~curious(X0) & ~strong(X0))) [input p2]
5. ! [X0] : ((~creative(X0) | ~strong(X0)) => ~patien... | 0 |
Everyone who is both strong and not old is both kind and not rich.
If fred is not rich then alice is either curious or funny and vice versa.
Everyone who is not tall or old is old or not funny and vice versa.
If someone is both not curious and patient then paul is funny and vice versa.
If someone is either generous or ... | Fred is quiet. | contradiction | (![X]:((strong(X)&~old(X))=>(kind(X)&~rich(X))))&
((~rich(fred))<=>((curious(alice)<~>funny(alice))))&
(![X]:((~tall(X)|old(X))<=>(old(X)|~funny(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(funny(paul)))&
((?[X]:((generous(X)<~>~quiet(X))))=>((~patient(fred)<~>~brave(fred))))&
(![X]:(humble(X)<=>(old(X)<~>~quiet(X))))&... | quiet(fred) | [
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3027982201754751971601573
% SZS output start Proof for 3027982201754751971601573
12. ! [X0] : (quiet(X0) <=> (~wise(X0) & humble(X0))) [input p11]
13. (creative(fred) <~> tall(fred)) <=> (kind(paul) & patient(paul)) [input p12]
14. ! [X0] : (humble(X0) <=> (rich(X0) & tall(X0))) [input p1... | 0 |
Everyone who is both not strong and strong is tall and vice versa. If someone is both curious and wise then someone is not wise. Everyone who is quiet is strong. Everyone who is humble or not humble is creative. Everyone who is either not curious or not funny is both not quiet and old. Everyone who is either tall or cr... | Susan is not brave. | entailment | (![X]:((~strong(X)&strong(X))<=>tall(X)))&
((?[X]:((curious(X)&wise(X))))=>(?[X]:(~wise(X))))&
(![X]:(quiet(X)=>strong(X)))&
(![X]:((humble(X)|~humble(X))=>creative(X)))&
(![X]:((~curious(X)<~>~funny(X))=>(~quiet(X)&old(X))))&
(![X]:((tall(X)<~>creative(X))=>(calm(X)&wise(X))))&
(![X]:((generous(X)|~quiet(X))=>(~quiet(... | ~brave(susan) | [
"p0",
"p1",
"p3",
"p5",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3045122797840854015311260
% SZS output start Proof for 3045122797840854015311260
1. ! [X0] : ((strong(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
2. ? [X0] : (wise(X0) & curious(X0)) => ? [X0] : ~wise(X0) [input p1]
4. ! [X0] : ((~humble(X0) | humble(X0)) => creative(X0)) [input p3]
6. ! ... | 0 |
Everyone who is creative is both not patient and not rich.
If fred is either not calm or patient then fred is kind or creative.
Everyone who is either not old or old is not generous or wise.
If someone is not rich or not funny then fred is both tall and strong and vice versa.
Everyone who is kind or humble is both not ... | John is brave. | contradiction | (![X]:(creative(X)=>(~patient(X)&~rich(X))))&
(((~calm(fred)<~>patient(fred)))=>((kind(fred)|creative(fred))))&
(![X]:((~old(X)<~>old(X))=>(~generous(X)|wise(X))))&
((?[X]:((~rich(X)|~funny(X))))<=>((tall(fred)&strong(fred))))&
(![X]:((kind(X)|humble(X))<=>(~happy(X)&funny(X))))&
(![X]:(~generous(X)=>(~kind(X)<~>genero... | brave(john) | [
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4350547349133904380182263
% SZS output start Proof for 4350547349133904380182263
6. ! [X0] : (~generous(X0) => (~kind(X0) <~> generous(X0))) [input p5]
7. ! [X0] : ((generous(X0) | calm(X0)) <=> (~humble(X0) & calm(X0))) [input p6]
11. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (brave(X0) | ... | 0 |
Everyone who is not happy is brave or generous and vice versa. If fred is either not kind or kind then mary is either not generous or patient. If someone is tall or old then someone is not funny or strong and vice versa. Everyone who is not brave is kind. If susan is not kind or not tall then alice is either not patien... | Mary is not humble. | contradiction | (![X]:(~happy(X)<=>(brave(X)|generous(X))))&
(((~kind(fred)<~>kind(fred)))=>((~generous(mary)<~>patient(mary))))&
((?[X]:((tall(X)|old(X))))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:(~brave(X)=>kind(X)))&
(((~kind(susan)|~tall(susan)))<=>((~patient(alice)<~>generous(alice))))&
(![X]:(brave(X)<=>(generous(X)|calm(X))))&... | ~humble(mary) | [
"p1",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4652895107464765138410016
% SZS output start Proof for 4652895107464765138410016
2. (~kind(fred) <~> kind(fred)) => (~generous(mary) <~> patient(mary)) [input p1]
6. ! [X0] : (brave(X0) <=> (calm(X0) | generous(X0))) [input p5]
15. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (~old(X0) | ... | 0 |
If someone is not humble or not strong then john is either not patient or not quiet and vice versa. Everyone who is not curious is not brave and vice versa. Everyone who is not funny or creative is not old. Everyone who is not happy is both funny and rich and vice versa. If alice is both not quiet and not rich then som... | Alice is quiet. | contradiction | ((?[X]:((~humble(X)|~strong(X))))<=>((~patient(john)<~>~quiet(john))))&
(![X]:(~curious(X)<=>~brave(X)))&
(![X]:((~funny(X)|creative(X))=>~old(X)))&
(![X]:(~happy(X)<=>(funny(X)&rich(X))))&
(((~quiet(alice)&~rich(alice)))=>(?[X]:((happy(X)<~>~quiet(X)))))&
(![X]:((~wise(X)|funny(X))=>~quiet(X)))&
(![X]:((curious(X)<~>~... | quiet(alice) | [
"p3",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3146003252244703057120970
% SZS output start Proof for 3146003252244703057120970
4. ! [X0] : (~happy(X0) <=> (rich(X0) & funny(X0))) [input p3]
11. (creative(john) <~> happy(john)) <=> ? [X0] : quiet(X0) [input p10]
15. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> funny(X0)) [input p14]
21. crea... | 0 |
If someone is not patient then someone is calm and vice versa.
Everyone who is not happy or not strong is curious.
If mary is both funny and old then susan is strong or not wise.
Everyone who is either calm or wise is both not creative and quiet and vice versa.
If someone is either rich or tall then alice is not brave ... | Paul is not creative. | neutral | ((?[X]:(~patient(X)))<=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~strong(X))=>curious(X)))&
(((funny(mary)&old(mary)))=>((strong(susan)|~wise(susan))))&
(![X]:((calm(X)<~>wise(X))<=>(~creative(X)&quiet(X))))&
((?[X]:((rich(X)<~>tall(X))))=>((~brave(alice)|kind(alice))))&
(![X]:((~generous(X)&~kind(X))<=>(~generous(X)<~>old... | ~creative(paul) | [] | null | 0 |
If paul is calm or rich then john is either kind or not patient and vice versa. Everyone who is not creative or not quiet is not brave. If someone is not tall or not kind then someone is not kind or creative. If someone is not funny then fred is not kind or strong. If someone is both not patient and patient then someon... | Fred is funny. | contradiction | (((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(... | funny(fred) | [
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3100266366110616930166983
% SZS output start Proof for 3100266366110616930166983
7. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p7]
10. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~quiet(X0)) [input p9]
13... | 0 |
If john is either not old or brave then someone is not happy and vice versa. If someone is not funny then lucy is both rich and not creative. If lucy is not creative or rich then alice is not tall and vice versa. If someone is both not kind and wise then susan is either creative or not kind. Everyone who is both kind a... | Fred is calm. | contradiction | (((~old(john)<~>brave(john)))<=>(?[X]:(~happy(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall(X)<~>~wise(X))))<=>(?[X]:(old(X))))&
... | calm(fred) | [
"p8",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3801405018856682968145596
% SZS output start Proof for 3801405018856682968145596
9. ! [X0] : ((curious(X0) <~> patient(X0)) <=> (curious(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((strong(X0) & humble(X0)) <=> (kind(X0) | patient(X0))) [input p9]
11. ? [X0] : (~kind(X0) <~> patient(X0))... | 0 |
Everyone who is both rich and strong is quiet or not creative and vice versa.
Everyone who is happy is not creative or patient and vice versa.
Everyone who is either old or not brave is not kind and vice versa.
Everyone who is both not happy and not kind is both funny and happy.
Everyone who is happy is both not old an... | Lucy is calm. | contradiction | (![X]:((rich(X)&strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(happy(X)<=>(~creative(X)|patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>~kind(X)))&
(![X]:((~happy(X)&~kind(X))=>(funny(X)&happy(X))))&
(![X]:(happy(X)=>(~old(X)&wise(X))))&
(![X]:(~quiet(X)=>~kind(X)))&
(![X]:((generous(X)<~>wise(X))<=>(~happy(X)&calm(X))))&... | calm(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 318857355889050640218497
% SZS output start Proof for 318857355889050640218497
1. ! [X0] : ((strong(X0) & rich(X0)) <=> (~creative(X0) | quiet(X0))) [input p0]
2. ! [X0] : (happy(X0) <=> (patient(X0) | ~creative(X0))) [input p1]
4. ! [X0] : ((~kind(X0) & ~happy(X0)) => (happy(X0) & funny(... | 0 |
Everyone who is both not kind and not old is quiet or not happy.
If susan is both not generous and creative then fred is either not happy or funny and vice versa.
Everyone who is either not strong or calm is both not rich and not brave and vice versa.
If susan is not quiet then paul is both not brave and not rich and v... | Mary is not creative. | entailment | (![X]:((~kind(X)&~old(X))=>(quiet(X)|~happy(X))))&
(((~generous(susan)&creative(susan)))<=>((~happy(fred)<~>funny(fred))))&
(![X]:((~strong(X)<~>calm(X))<=>(~rich(X)&~brave(X))))&
((~quiet(susan))<=>((~brave(paul)&~rich(paul))))&
(![X]:((~humble(X)<~>strong(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((old(X)|funny(X))))<=... | ~creative(mary) | [
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 851128375021203092836520
% SZS output start Proof for 851128375021203092836520
9. ! [X0] : ((~tall(X0) | ~humble(X0)) => (~curious(X0) & wise(X0))) [input p8]
11. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (old(X0) | funny(X0))) [input p10]
13. ! [X0] : (creative(X0) => old(X0)) [input p12]... | 0 |
If someone is either not strong or not humble then fred is either not humble or not patient and vice versa.
If fred is either humble or not curious then mary is old or calm.
If someone is not brave then lucy is either not rich or brave.
Everyone who is both kind and humble is quiet or humble and vice versa.
Everyone wh... | Lucy is brave. | entailment | ((?[X]:((~strong(X)<~>~humble(X))))<=>((~humble(fred)<~>~patient(fred))))&
(((humble(fred)<~>~curious(fred)))=>((old(mary)|calm(mary))))&
((?[X]:(~brave(X)))=>((~rich(lucy)<~>brave(lucy))))&
(![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~funny(X)<~>patient(X))))&
(![X]:((curious(... | brave(lucy) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6390208723166511903990676
% SZS output start Proof for 6390208723166511903990676
6. ! [X0] : ((patient(X0) & curious(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p5]
17. ~patient(lucy) <~> brave(lucy) [input p16]
25. ~brave(lucy) [input hypothesis]
48. ! [X0] : (((patient(X0) & curious(X0... | 0 |
Everyone who is both not tall and not generous is both not old and not generous.
If lucy is both not creative and quiet then alice is not happy or funny and vice versa.
Everyone who is not curious or curious is either curious or not rich and vice versa.
If alice is not rich or not strong then someone is both not wise a... | Mary is not kind. | neutral | (![X]:((~tall(X)&~generous(X))=>(~old(X)&~generous(X))))&
(((~creative(lucy)&quiet(lucy)))<=>((~happy(alice)|funny(alice))))&
(![X]:((~curious(X)|curious(X))<=>(curious(X)<~>~rich(X))))&
(((~rich(alice)|~strong(alice)))=>(?[X]:((~wise(X)&~rich(X)))))&
(![X]:((~humble(X)|~kind(X))=>(wise(X)|brave(X))))&
(![X]:((patient(... | ~kind(mary) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | Fred is not kind. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | ~kind(fred) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 478914177088514340255403
% SZS output start Proof for 478914177088514340255403
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p7]
9. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p8]
13. ! [X0] :... | 0 |
Everyone who is either not wise or generous is not generous or not brave and vice versa. If mary is both not calm and happy then lucy is either not strong or funny. Everyone who is not generous or strong is either creative or not strong and vice versa. If someone is brave or old then lucy is not old. If alice is both t... | Mary is not happy. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>(~generous(X)|~brave(X))))&
(((~calm(mary)&happy(mary)))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((~generous(X)|strong(X))<=>(creative(X)<~>~strong(X))))&
((?[X]:((brave(X)|old(X))))=>(~old(lucy)))&
(((tall(alice)&~funny(alice)))<=>(?[X]:(~humble(X))))&
(((tall(susan)&happy(susan)))<=... | ~happy(mary) | [
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2362905930695321323137250
% SZS output start Proof for 2362905930695321323137250
3. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (creative(X0) <~> ~strong(X0))) [input p2]
15. ! [X0] : ((happy(X0) & ~humble(X0)) <=> creative(X0)) [input p14]
16. ! [X0] : ((creative(X0) <~> ~strong(X0)) => (... | 0 |
Everyone who is both wise and not funny is either not creative or not old. If someone is not rich or happy then alice is both kind and not patient and vice versa. If someone is either not funny or wise then john is happy or not rich and vice versa. If someone is old then someone is both not rich and not old. Everyone w... | Mary is generous. | contradiction | (![X]:((wise(X)&~funny(X))=>(~creative(X)<~>~old(X))))&
((?[X]:((~rich(X)|happy(X))))<=>((kind(alice)&~patient(alice))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((happy(john)|~rich(john))))&
((?[X]:(old(X)))=>(?[X]:((~rich(X)&~old(X)))))&
(![X]:((generous(X)|~humble(X))=>(~kind(X)<~>patient(X))))&
((?[X]:((rich(X)&~happy(X)... | generous(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6252533091072927377830429
% SZS output start Proof for 6252533091072927377830429
7. ! [X0] : ((generous(X0) | ~rich(X0)) => (~generous(X0) & ~creative(X0))) [input p6]
22. generous(mary) [input hypothesis]
32. ! [X0] : ((~generous(X0) & ~creative(X0)) | (~generous(X0) & rich(X0))) [ennf t... | 0 |
Everyone who is quiet is strong or not humble. Everyone who is both not kind and kind is not tall or not happy and vice versa. Everyone who is rich is not happy or not curious. If lucy is not old or creative then alice is happy or calm. Everyone who is either tall or old is not strong and vice versa. If alice is not ta... | Paul is not rich. | neutral | (![X]:(quiet(X)=>(strong(X)|~humble(X))))&
(![X]:((~kind(X)&kind(X))<=>(~tall(X)|~happy(X))))&
(![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(((~old(lucy)|creative(lucy)))=>((happy(alice)|calm(alice))))&
(![X]:((tall(X)<~>old(X))<=>~strong(X)))&
((~tall(alice))=>(patient(mary)))&
((kind(fred))<=>(?[X]:((brave(X)<~>quiet(X... | ~rich(paul) | [] | null | 0 |
If alice is strong then someone is happy and vice versa. Everyone who is either not happy or old is not patient. If someone is either patient or happy then lucy is generous or not wise and vice versa. Everyone who is not strong or not quiet is wise or calm. If lucy is not strong then susan is either not rich or not str... | Fred is not happy. | entailment | ((strong(alice))<=>(?[X]:(happy(X))))&
(![X]:((~happy(X)<~>old(X))=>~patient(X)))&
((?[X]:((patient(X)<~>happy(X))))<=>((generous(lucy)|~wise(lucy))))&
(![X]:((~strong(X)|~quiet(X))=>(wise(X)|calm(X))))&
((~strong(lucy))=>((~rich(susan)<~>~strong(susan))))&
(((brave(fred)|patient(fred)))=>(~rich(fred)))&
(((~rich(susan... | ~happy(fred) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 470449751572966132915724
% SZS output start Proof for 470449751572966132915724
8. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~patient(X0) | ~strong(X0))) [input p7]
13. (~patient(paul) & ~rich(paul)) <=> (happy(fred) | curious(fred)) [input p12]
24. happy(fred) [input hypothesis]
51. ! [X0... | 0 |
Everyone who is not old or happy is not tall.
If lucy is not curious then someone is strong.
If someone is not rich or old then alice is happy and vice versa.
If susan is not rich or quiet then someone is strong or not generous.
If someone is both creative and not funny then john is both funny and brave.
If someone is ... | Susan is not wise. | neutral | (![X]:((~old(X)|happy(X))=>~tall(X)))&
((~curious(lucy))=>(?[X]:(strong(X))))&
((?[X]:((~rich(X)|old(X))))<=>(happy(alice)))&
(((~rich(susan)|quiet(susan)))=>(?[X]:((strong(X)|~generous(X)))))&
((?[X]:((creative(X)&~funny(X))))=>((funny(john)&brave(john))))&
((?[X]:((creative(X)&~kind(X))))=>(?[X]:((happy(X)|~strong(X)... | ~wise(susan) | [] | null | 0 |
Everyone who is both brave and generous is wise and vice versa.
Everyone who is not brave or generous is both not rich and rich.
If john is old or calm then someone is rich or not curious and vice versa.
Everyone who is both humble and not funny is both not happy and not generous and vice versa.
If someone is both stro... | John is brave. | entailment | (![X]:((brave(X)&generous(X))<=>wise(X)))&
(![X]:((~brave(X)|generous(X))=>(~rich(X)&rich(X))))&
(((old(john)|calm(john)))<=>(?[X]:((rich(X)|~curious(X)))))&
(![X]:((humble(X)&~funny(X))<=>(~happy(X)&~generous(X))))&
((?[X]:((strong(X)&~creative(X))))=>((wise(mary)|~happy(mary))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~... | brave(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1171375266962184921336429
% SZS output start Proof for 1171375266962184921336429
2. ! [X0] : ((generous(X0) | ~brave(X0)) => (rich(X0) & ~rich(X0))) [input p1]
20. ~brave(john) [input hypothesis]
23. ! [X0] : ((rich(X0) & ~rich(X0)) | (~generous(X0) & brave(X0))) [ennf transformation 2]
6... | 0 |
If susan is both humble and strong then fred is not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong t... | Mary is wise. | contradiction | (((humble(susan)&strong(susan)))=>(~wise(fred)))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(X... | wise(mary) | [
"p1",
"p3",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3924384480759228608437979
% SZS output start Proof for 3924384480759228608437979
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall(X0) & ~calm(X0))) [input p3]
7. ! [X0] : ((happy(X0) <~> calm(X0)) => tall(X0)) [... | 0 |
If fred is both funny and tall then susan is not kind and vice versa.
If someone is both wise and quiet then someone is not old or rich.
Everyone who is not generous or quiet is both calm and not patient and vice versa.
Everyone who is both calm and not calm is not old.
Everyone who is both happy and not kind is both h... | Paul is not brave. | entailment | (((funny(fred)&tall(fred)))<=>(~kind(susan)))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((~old(X)|rich(X)))))&
(![X]:((~generous(X)|quiet(X))<=>(calm(X)&~patient(X))))&
(![X]:((calm(X)&~calm(X))=>~old(X)))&
(![X]:((happy(X)&~kind(X))=>(humble(X)&~calm(X))))&
(![X]:(quiet(X)=>(~humble(X)|humble(X))))&
((?[X]:((~generous(X)|~... | ~brave(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2767838748168176062961453
% SZS output start Proof for 2767838748168176062961453
21. ~brave(paul) & happy(paul) [input p20]
25. brave(paul) [input hypothesis]
133. ~brave(paul) [cnf transformation 21]
137. brave(paul) [cnf transformation 25]
320. $false [subsumption resolution 137,133]
% ... | 0 |
Everyone who is curious is not wise or not tall and vice versa.
Everyone who is either quiet or calm is either happy or not happy and vice versa.
If mary is either brave or old then susan is funny and vice versa.
Everyone who is strong is both creative and not calm.
Everyone who is both old and kind is not old and vice... | Alice is creative. | neutral | (![X]:(curious(X)<=>(~wise(X)|~tall(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~happy(X))))&
(((brave(mary)<~>old(mary)))<=>(funny(susan)))&
(![X]:(strong(X)=>(creative(X)&~calm(X))))&
(![X]:((old(X)&kind(X))<=>~old(X)))&
(((old(alice)<~>~funny(alice)))<=>(?[X]:((creative(X)&generous(X)))))&
(![X]:((~humble(X)<~>... | creative(alice) | [] | null | 0 |
Everyone who is both not calm and not old is not tall or not strong and vice versa.
If someone is quiet then mary is either generous or not calm and vice versa.
Everyone who is brave is not patient.
Everyone who is not tall is both calm and not strong.
If mary is either old or brave then alice is both rich and not calm... | Alice is brave. | contradiction | (![X]:((~calm(X)&~old(X))<=>(~tall(X)|~strong(X))))&
((?[X]:(quiet(X)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(~tall(X)=>(calm(X)&~strong(X))))&
(((old(mary)<~>brave(mary)))=>((rich(alice)&~calm(alice))))&
(((calm(mary)<~>~calm(mary)))=>(?[X]:(~wise(X))))&
(![X]:((brave(X)<~>~happy(... | brave(alice) | [
"p0",
"p2",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 604367050569222861482127
% SZS output start Proof for 604367050569222861482127
1. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
3. ! [X0] : (brave(X0) => ~patient(X0)) [input p2]
12. ! [X0] : ((~patient(X0) <~> strong(X0)) <=> (calm(X0) | ~happy(X0))) [input p... | 0 |
Everyone who is both not funny and not humble is not brave. If susan is either rich or not brave then paul is not generous or patient and vice versa. Everyone who is both happy and wise is curious or funny. If fred is both kind and funny then lucy is not strong or calm and vice versa. Everyone who is not strong or brav... | Fred is not funny. | entailment | (![X]:((~funny(X)&~humble(X))=>~brave(X)))&
(((rich(susan)<~>~brave(susan)))<=>((~generous(paul)|patient(paul))))&
(![X]:((happy(X)&wise(X))=>(curious(X)|funny(X))))&
(((kind(fred)&funny(fred)))<=>((~strong(lucy)|calm(lucy))))&
(![X]:((~strong(X)|brave(X))<=>(quiet(X)&old(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))<=>(?[X]... | ~funny(fred) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3698053933550710807985945
% SZS output start Proof for 3698053933550710807985945
14. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~creative(X0))) [input p13]
18. ~happy(fred) [input p17]
24. funny(fred) [input hypothesis]
61. ! [X0] : ((((~funny(X0) | ~creative(X0)) & (funny... | 0 |
If mary is not rich or curious then susan is calm or not brave. If lucy is both strong and not tall then fred is old and vice versa. Everyone who is not strong is both not brave and funny and vice versa. Everyone who is calm or quiet is both not funny and wise and vice versa. Everyone who is not generous is both humble... | John is not generous. | contradiction | (((~rich(mary)|curious(mary)))=>((calm(susan)|~brave(susan))))&
(((strong(lucy)&~tall(lucy)))<=>(old(fred)))&
(![X]:(~strong(X)<=>(~brave(X)&funny(X))))&
(![X]:((calm(X)|quiet(X))<=>(~funny(X)&wise(X))))&
(![X]:(~generous(X)<=>(humble(X)&curious(X))))&
((?[X]:((~curious(X)|~generous(X))))<=>((creative(fred)&old(fred)))... | ~generous(john) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8962724888508729559293065
% SZS output start Proof for 8962724888508729559293065
2. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p1]
6. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(fred)) [input p5]
13. (~calm(fred) & calm(fred)) <=> (strong(lucy) | rich(lucy)) [... | 0 |
If john is both not generous and not happy then someone is either not patient or not old.
If someone is patient then someone is either creative or not wise.
If someone is both not brave and creative then someone is not generous or not brave and vice versa.
Everyone who is both not patient and rich is either not tall or... | Mary is not patient. | neutral | (((~generous(john)&~happy(john)))=>(?[X]:((~patient(X)<~>~old(X)))))&
((?[X]:(patient(X)))=>(?[X]:((creative(X)<~>~wise(X)))))&
((?[X]:((~brave(X)&creative(X))))<=>(?[X]:((~generous(X)|~brave(X)))))&
(![X]:((~patient(X)&rich(X))=>(~tall(X)<~>~wise(X))))&
(((strong(lucy)<~>~quiet(lucy)))=>((~kind(fred)|~wise(fred))))&
(... | ~patient(mary) | [] | null | 0 |
Everyone who is brave or not happy is either not rich or not tall and vice versa.
Everyone who is humble or not creative is not brave or not wise.
Everyone who is not kind is curious or not rich.
Everyone who is either not tall or not rich is tall or curious and vice versa.
If someone is not old or not calm then lucy i... | Susan is calm. | contradiction | (![X]:((brave(X)|~happy(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:((humble(X)|~creative(X))=>(~brave(X)|~wise(X))))&
(![X]:(~kind(X)=>(curious(X)|~rich(X))))&
(![X]:((~tall(X)<~>~rich(X))<=>(tall(X)|curious(X))))&
((?[X]:((~old(X)|~calm(X))))<=>((~generous(lucy)|quiet(lucy))))&
((?[X]:((brave(X)|calm(X))))<=>((~funny(paul)&... | calm(susan) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4570538451779235516453218
% SZS output start Proof for 4570538451779235516453218
6. ? [X0] : (calm(X0) | brave(X0)) <=> (quiet(paul) & ~funny(paul)) [input p5]
12. ! [X0] : (~quiet(X0) <=> ~funny(X0)) [input p11]
24. calm(susan) [input hypothesis]
45. (? [X0] : (calm(X0) | brave(X0)) | (~... | 0 |
If alice is either brave or funny then someone is not calm. Everyone who is not kind is either quiet or not brave. Everyone who is both kind and not generous is either quiet or old. If john is both not curious and not generous then someone is either not humble or not kind and vice versa. Everyone who is patient is not ... | Alice is tall. | neutral | (((brave(alice)<~>funny(alice)))=>(?[X]:(~calm(X))))&
(![X]:(~kind(X)=>(quiet(X)<~>~brave(X))))&
(![X]:((kind(X)&~generous(X))=>(quiet(X)<~>old(X))))&
(((~curious(john)&~generous(john)))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(![X]:(patient(X)=>(~strong(X)|~happy(X))))&
(((kind(lucy)<~>funny(lucy)))=>(?[X]:((~patient(X)&... | tall(alice) | [] | null | 0 |
Everyone who is either humble or not tall is either not happy or strong.
If alice is both tall and not strong then lucy is both strong and not funny and vice versa.
If someone is both not strong and not curious then someone is both not old and tall and vice versa.
If someone is patient or creative then someone is both ... | Alice is kind. | contradiction | (![X]:((humble(X)<~>~tall(X))=>(~happy(X)<~>strong(X))))&
(((tall(alice)&~strong(alice)))<=>((strong(lucy)&~funny(lucy))))&
((?[X]:((~strong(X)&~curious(X))))<=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:((patient(X)|creative(X))))=>(?[X]:((~strong(X)&old(X)))))&
((creative(paul))=>((~calm(paul)<~>~humble(paul))))&
((?[X]:((~... | kind(alice) | [
"p6",
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4969493749501062406314734
% SZS output start Proof for 4969493749501062406314734
7. ! [X0] : ((patient(X0) <~> wise(X0)) => (~wise(X0) <~> strong(X0))) [input p6]
8. ! [X0] : (rich(X0) <=> (strong(X0) | ~patient(X0))) [input p7]
10. ? [X0] : (happy(X0) <~> ~kind(X0)) <=> (strong(lucy) & ~... | 0 |
If susan is not generous or not happy then fred is not brave or kind and vice versa. If susan is patient or not funny then someone is both tall and brave. If someone is either funny or not creative then lucy is not wise or not strong and vice versa. If john is both not happy and humble then paul is not rich. If john is... | John is humble. | neutral | (((~generous(susan)|~happy(susan)))<=>((~brave(fred)|kind(fred))))&
(((patient(susan)|~funny(susan)))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:((funny(X)<~>~creative(X))))<=>((~wise(lucy)|~strong(lucy))))&
(((~happy(john)&humble(john)))=>(~rich(paul)))&
(((tall(john)&~old(john)))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((... | humble(john) | [] | null | 0 |
Everyone who is both funny and not rich is either funny or tall.
Everyone who is curious is not tall and vice versa.
If someone is either strong or creative then someone is old and vice versa.
Everyone who is not patient or not funny is not creative or not quiet.
Everyone who is quiet or curious is both wise and not ki... | Lucy is humble. | neutral | (![X]:((funny(X)&~rich(X))=>(funny(X)<~>tall(X))))&
(![X]:(curious(X)<=>~tall(X)))&
((?[X]:((strong(X)<~>creative(X))))<=>(?[X]:(old(X))))&
(![X]:((~patient(X)|~funny(X))=>(~creative(X)|~quiet(X))))&
(![X]:((quiet(X)|curious(X))=>(wise(X)&~kind(X))))&
((?[X]:((rich(X)|creative(X))))=>(creative(mary)))&
(![X]:(brave(X)=... | humble(lucy) | [] | null | 0 |
Everyone who is both not old and calm is not strong and vice versa. If alice is both generous and curious then someone is either not tall or not quiet and vice versa. If someone is both not old and not funny then lucy is kind or creative and vice versa. Everyone who is creative or not curious is not creative. If someon... | John is curious. | neutral | (![X]:((~old(X)&calm(X))<=>~strong(X)))&
(((generous(alice)&curious(alice)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
((?[X]:((~old(X)&~funny(X))))<=>((kind(lucy)|creative(lucy))))&
(![X]:((creative(X)|~curious(X))=>~creative(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|old(X)))))&
(![X]:((tall(X)<~>creative(X))<=>(~happy(X... | curious(john) | [] | null | 0 |
Everyone who is either not tall or not humble is either brave or not humble and vice versa.
Everyone who is not wise or not quiet is kind.
Everyone who is both not generous and not funny is either wise or humble and vice versa.
If john is both curious and not strong then lucy is calm or strong and vice versa.
Everyone ... | John is not happy. | contradiction | (![X]:((~tall(X)<~>~humble(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~wise(X)|~quiet(X))=>kind(X)))&
(![X]:((~generous(X)&~funny(X))<=>(wise(X)<~>humble(X))))&
(((curious(john)&~strong(john)))<=>((calm(lucy)|strong(lucy))))&
(![X]:(~calm(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~rich(X)|quiet(X))=>(~rich(X)|old(X))))&
(![X]... | ~happy(john) | [
"p3",
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4039743857958074740120178
% SZS output start Proof for 4039743857958074740120178
4. (~strong(john) & curious(john)) <=> (strong(lucy) | calm(lucy)) [input p3]
5. ! [X0] : (~calm(X0) <=> (~wise(X0) & ~happy(X0))) [input p4]
9. ! [X0] : ((~calm(X0) | ~strong(X0)) => (quiet(X0) & calm(X0))) ... | 0 |
Everyone who is either not generous or humble is not wise.
Everyone who is not funny or brave is generous.
If alice is either rich or not quiet then someone is not tall or curious.
If paul is strong then someone is curious or rich.
If susan is not wise or humble then mary is not generous or kind and vice versa.
If some... | Alice is funny. | contradiction | (![X]:((~generous(X)<~>humble(X))=>~wise(X)))&
(![X]:((~funny(X)|brave(X))=>generous(X)))&
(((rich(alice)<~>~quiet(alice)))=>(?[X]:((~tall(X)|curious(X)))))&
((strong(paul))=>(?[X]:((curious(X)|rich(X)))))&
(((~wise(susan)|humble(susan)))<=>((~generous(mary)|kind(mary))))&
((?[X]:((patient(X)|~strong(X))))=>(?[X]:((ric... | funny(alice) | [
"p0",
"p1",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6859795373547841700694351
% SZS output start Proof for 6859795373547841700694351
1. ! [X0] : ((~generous(X0) <~> humble(X0)) => ~wise(X0)) [input p0]
2. ! [X0] : ((brave(X0) | ~funny(X0)) => generous(X0)) [input p1]
9. ! [X0] : ((tall(X0) | ~brave(X0)) => (~generous(X0) & brave(X0))) [inp... | 0 |
If someone is both kind and old then mary is either tall or happy.
If lucy is both calm and not calm then mary is both tall and not rich and vice versa.
Everyone who is not quiet or creative is either not tall or not patient.
If someone is both not creative and brave then fred is strong.
Everyone who is not quiet is bo... | Mary is kind. | neutral | ((?[X]:((kind(X)&old(X))))=>((tall(mary)<~>happy(mary))))&
(((calm(lucy)&~calm(lucy)))<=>((tall(mary)&~rich(mary))))&
(![X]:((~quiet(X)|creative(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:((~creative(X)&brave(X))))=>(strong(fred)))&
(![X]:(~quiet(X)=>(patient(X)&humble(X))))&
(((patient(susan)&humble(susan)))<=>(?[X]:(~ca... | kind(mary) | [] | null | 0 |
Everyone who is calm is old or not creative and vice versa. If alice is either not wise or old then lucy is not humble or old and vice versa. Everyone who is both generous and not funny is not curious and vice versa. Everyone who is either not brave or not generous is wise or tall and vice versa. If someone is either n... | Alice is happy. | neutral | (![X]:(calm(X)<=>(old(X)|~creative(X))))&
(((~wise(alice)<~>old(alice)))<=>((~humble(lucy)|old(lucy))))&
(![X]:((generous(X)&~funny(X))<=>~curious(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&kind(X))<=>(~tall(X)|... | happy(alice) | [] | null | 0 |
Everyone who is funny or humble is humble and vice versa. Everyone who is not tall or not generous is not tall. If someone is either not quiet or not humble then john is not tall and vice versa. Everyone who is either not strong or not wise is both curious and not kind and vice versa. Everyone who is not generous or ge... | John is not brave. | entailment | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(~tall(john)))&
(![X]:((~strong(X)<~>~wise(X))<=>(curious(X)&~kind(X))))&
(![X]:((~generous(X)|generous(X))<=>(~funny(X)&calm(X))))&
((?[X]:((~humble(X)|~kind(X))))=>(~wise(john)))&
(![X]:(patient... | ~brave(john) | [
"p4",
"p6",
"p8",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8834111202180919872896306
% SZS output start Proof for 8834111202180919872896306
5. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (calm(X0) & ~funny(X0))) [input p4]
7. ! [X0] : (patient(X0) => (old(X0) <~> ~brave(X0))) [input p6]
9. ! [X0] : ((~patient(X0) | ~generous(X0)) => (strong(X0) ... | 0 |
If fred is either not tall or generous then someone is either not tall or not wise.
Everyone who is either quiet or not old is not quiet or strong and vice versa.
If susan is both not patient and calm then lucy is not rich or not old.
Everyone who is not tall is both not patient and not old.
If susan is funny or not ha... | Lucy is not rich. | neutral | (((~tall(fred)<~>generous(fred)))=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((quiet(X)<~>~old(X))<=>(~quiet(X)|strong(X))))&
(((~patient(susan)&calm(susan)))=>((~rich(lucy)|~old(lucy))))&
(![X]:(~tall(X)=>(~patient(X)&~old(X))))&
(((funny(susan)|~happy(susan)))=>((~calm(fred)<~>~generous(fred))))&
((?[X]:((generous(X)<~>... | ~rich(lucy) | [] | null | 0 |
If mary is both not tall and not kind then someone is happy or old. If someone is either not rich or not calm then mary is not humble or calm. Everyone who is not generous is both tall and happy. Everyone who is quiet is either not humble or curious and vice versa. Everyone who is curious or not happy is both generous ... | Alice is not rich. | entailment | (((~tall(mary)&~kind(mary)))=>(?[X]:((happy(X)|old(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>((~humble(mary)|calm(mary))))&
(![X]:(~generous(X)=>(tall(X)&happy(X))))&
(![X]:(quiet(X)<=>(~humble(X)<~>curious(X))))&
(![X]:((curious(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(old(X)|genero... | ~rich(alice) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6126005934145818000498705
% SZS output start Proof for 6126005934145818000498705
3. ! [X0] : (~generous(X0) => (happy(X0) & tall(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | curious(X0)) <=> (tall(X0) & generous(X0))) [in... | 0 |
If someone is not funny then someone is both not funny and not strong and vice versa.
If someone is either wise or generous then someone is either not tall or not humble.
Everyone who is both not curious and not old is not creative or humble and vice versa.
Everyone who is not strong is tall and vice versa.
If susan is... | John is not generous. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)&~strong(X)))))&
((?[X]:((wise(X)<~>generous(X))))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~curious(X)&~old(X))<=>(~creative(X)|humble(X))))&
(![X]:(~strong(X)<=>tall(X)))&
((generous(susan))<=>(wise(susan)))&
(((patient(john)&humble(john)))<=>(?[X]:((~strong(X)<~>funny(X)))))... | ~generous(john) | [
"p1",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4057441934671711112874863
% SZS output start Proof for 4057441934671711112874863
2. ? [X0] : (wise(X0) <~> generous(X0)) => ? [X0] : (~tall(X0) <~> ~humble(X0)) [input p1]
4. ! [X0] : (~strong(X0) <=> tall(X0)) [input p3]
7. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0)))... | 0 |
If alice is both not wise and not curious then lucy is either not rich or not humble.
Everyone who is either not strong or kind is either patient or not patient and vice versa.
Everyone who is either kind or not generous is not calm or calm and vice versa.
If paul is not rich then mary is either old or strong and vice ... | Alice is kind. | entailment | (((~wise(alice)&~curious(alice)))=>((~rich(lucy)<~>~humble(lucy))))&
(![X]:((~strong(X)<~>kind(X))<=>(patient(X)<~>~patient(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(~calm(X)|calm(X))))&
((~rich(paul))<=>((old(mary)<~>strong(mary))))&
(![X]:((~quiet(X)<~>~brave(X))=>(~quiet(X)<~>~kind(X))))&
((?[X]:((humble(X)|quiet(X)... | kind(alice) | [
"p1",
"p2",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6220204663772211542220659
% SZS output start Proof for 6220204663772211542220659
2. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (patient(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> (calm(X0) | ~calm(X0))) [input p2]
9. ! [X0] : ((strong(X0) & creative(X0))... | 0 |
If someone is either humble or not old then paul is both kind and wise.
If john is not curious then fred is not funny.
Everyone who is not calm is either not patient or wise and vice versa.
If someone is wise then mary is either not creative or not happy and vice versa.
Everyone who is not funny is both not strong and ... | Paul is not quiet. | entailment | ((?[X]:((humble(X)<~>~old(X))))=>((kind(paul)&wise(paul))))&
((~curious(john))=>(~funny(fred)))&
(![X]:(~calm(X)<=>(~patient(X)<~>wise(X))))&
((?[X]:(wise(X)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:(~funny(X)<=>(~strong(X)&funny(X))))&
((patient(fred))<=>(calm(mary)))&
(![X]:((old(X)<~>~calm(X))<=>(~curious(X)<~... | ~quiet(paul) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1306064422887717607244375
% SZS output start Proof for 1306064422887717607244375
5. ! [X0] : (~funny(X0) <=> (funny(X0) & ~strong(X0))) [input p4]
11. ? [X0] : creative(X0) <=> ? [X0] : (~funny(X0) & ~tall(X0)) [input p10]
13. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p1... | 0 |
If susan is not kind or generous then mary is not wise or wise and vice versa. If someone is both not wise and generous then paul is either not strong or not patient. If someone is patient then someone is quiet or curious and vice versa. Everyone who is humble is wise or not curious and vice versa. Everyone who is eith... | Susan is not kind. | neutral | (((~kind(susan)|generous(susan)))<=>((~wise(mary)|wise(mary))))&
((?[X]:((~wise(X)&generous(X))))=>((~strong(paul)<~>~patient(paul))))&
((?[X]:(patient(X)))<=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:(humble(X)<=>(wise(X)|~curious(X))))&
(![X]:((curious(X)<~>creative(X))=>funny(X)))&
(![X]:((creative(X)|tall(X))<=>(~kind... | ~kind(susan) | [] | null | 0 |
Everyone who is not funny or creative is both curious and happy and vice versa. Everyone who is kind or not old is either not wise or not generous. If someone is creative then paul is either not wise or patient. Everyone who is either humble or not quiet is both happy and not rich. If john is both not patient and not c... | Fred is not creative. | entailment | (![X]:((~funny(X)|creative(X))<=>(curious(X)&happy(X))))&
(![X]:((kind(X)|~old(X))=>(~wise(X)<~>~generous(X))))&
((?[X]:(creative(X)))=>((~wise(paul)<~>patient(paul))))&
(![X]:((humble(X)<~>~quiet(X))=>(happy(X)&~rich(X))))&
(((~patient(john)&~calm(john)))=>(?[X]:((old(X)&kind(X)))))&
((~calm(alice))=>(?[X]:((happy(X)&... | ~creative(fred) | [
"p0",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1896981739439223937458332
% SZS output start Proof for 1896981739439223937458332
1. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (happy(X0) & curious(X0))) [input p0]
14. ! [X0] : ((~happy(X0) & ~wise(X0)) <=> (patient(X0) <~> curious(X0))) [input p13]
18. curious(fred) & old(fred) [input p1... | 0 |
Everyone who is both funny and not kind is funny or not rich. If paul is not rich then paul is not strong or patient and vice versa. Everyone who is both strong and not patient is both creative and happy and vice versa. Everyone who is both not rich and tall is both not old and old. If susan is either generous or old t... | Alice is old. | neutral | (![X]:((funny(X)&~kind(X))=>(funny(X)|~rich(X))))&
((~rich(paul))<=>((~strong(paul)|patient(paul))))&
(![X]:((strong(X)&~patient(X))<=>(creative(X)&happy(X))))&
(![X]:((~rich(X)&tall(X))=>(~old(X)&old(X))))&
(((generous(susan)<~>old(susan)))=>((strong(lucy)&~curious(lucy))))&
((~creative(lucy))=>(?[X]:(tall(X))))&
(![X... | old(alice) | [] | null | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | Lucy is funny. | neutral | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | funny(lucy) | [] | null | 0 |
Everyone who is tall is both kind and old. Everyone who is humble or not rich is both not brave and not rich and vice versa. If someone is either not old or tall then someone is both not curious and old and vice versa. Everyone who is not patient or creative is strong or curious and vice versa. If someone is both not f... | Lucy is old. | entailment | (![X]:(tall(X)=>(kind(X)&old(X))))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~old(X)<~>tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((~patient(X)|creative(X))<=>(strong(X)|curious(X))))&
((?[X]:((~funny(X)&old(X))))=>((~creative(lucy)<~>calm(lucy))))&
((?[X]:((rich(X)<~>creative(X))))=>(?[X]... | old(lucy) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8452775406233992710370499
% SZS output start Proof for 8452775406233992710370499
1. ! [X0] : (tall(X0) => (old(X0) & kind(X0))) [input p0]
7. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> ~kind(X0)) [input p6]
12. ? [X0] : (~tall(X0) | ~brave(X0)) => ? [X0] : (~kind(X0) & ~generous(X0)) [input p... | 0 |
If lucy is not rich or not funny then someone is both not curious and not rich and vice versa.
If someone is either not curious or not old then fred is tall.
Everyone who is either not patient or strong is not funny or not humble and vice versa.
If someone is not happy then someone is calm or rich.
If paul is both tall... | Paul is not quiet. | neutral | (((~rich(lucy)|~funny(lucy)))<=>(?[X]:((~curious(X)&~rich(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>(tall(fred)))&
(![X]:((~patient(X)<~>strong(X))<=>(~funny(X)|~humble(X))))&
((?[X]:(~happy(X)))=>(?[X]:((calm(X)|rich(X)))))&
(((tall(paul)&~wise(paul)))=>(?[X]:((~kind(X)<~>~quiet(X)))))&
((curious(susan))=>(?[X]:(wise... | ~quiet(paul) | [] | null | 0 |
Everyone who is not funny or calm is funny.
Everyone who is not happy or happy is both not tall and creative.
Everyone who is either rich or not wise is calm or rich and vice versa.
Everyone who is both not brave and not wise is both calm and not wise.
If someone is humble then someone is both calm and patient.
If paul... | Mary is not generous. | neutral | (![X]:((~funny(X)|calm(X))=>funny(X)))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)&creative(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(calm(X)|rich(X))))&
(![X]:((~brave(X)&~wise(X))=>(calm(X)&~wise(X))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&patient(X)))))&
(((~patient(paul)&~wise(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((calm(X)&... | ~generous(mary) | [] | null | 0 |
Everyone who is happy or funny is either not calm or rich and vice versa. Everyone who is either not calm or not strong is either not rich or kind and vice versa. Everyone who is either quiet or not humble is either not rich or not patient and vice versa. If someone is either calm or tall then paul is old or not funny ... | John is funny. | entailment | (![X]:((happy(X)|funny(X))<=>(~calm(X)<~>rich(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(~rich(X)<~>kind(X))))&
(![X]:((quiet(X)<~>~humble(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>((old(paul)|~funny(paul))))&
(![X]:(wise(X)=>(generous(X)<~>~quiet(X))))&
((~brave(john))=>((~funny(susan)|tall(susan... | funny(john) | [
"p0",
"p1",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8038026794753197866284075
% SZS output start Proof for 8038026794753197866284075
1. ! [X0] : ((funny(X0) | happy(X0)) <=> (~calm(X0) <~> rich(X0))) [input p0]
2. ! [X0] : ((~calm(X0) <~> ~strong(X0)) <=> (~rich(X0) <~> kind(X0))) [input p1]
11. ! [X0] : ((creative(X0) | strong(X0)) => (pa... | 0 |
Everyone who is either not creative or not funny is either not brave or not calm.
Everyone who is rich or not rich is either creative or happy and vice versa.
If fred is either not quiet or generous then lucy is humble.
If mary is not generous or curious then someone is both not creative and tall and vice versa.
Everyo... | Lucy is wise. | contradiction | (![X]:((~creative(X)<~>~funny(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((rich(X)|~rich(X))<=>(creative(X)<~>happy(X))))&
(((~quiet(fred)<~>generous(fred)))=>(humble(lucy)))&
(((~generous(mary)|curious(mary)))<=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>wise(X))<=>(~old(X)<~>brave(X))))&
(![X]:(happy(X)=>(~curi... | wise(lucy) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 437989449081933618230743
% SZS output start Proof for 437989449081933618230743
10. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (quiet(X0) <~> curious(X0))) [input p9]
12. ! [X0] : (wise(X0) <=> (quiet(X0) <~> ~curious(X0))) [input p11]
25. wise(lucy) [input hypothesis]
53. ! [X0] : (((wise(X0)... | 0 |
Everyone who is generous is both not generous and wise.
If someone is not patient or not rich then john is not happy or patient.
If someone is both old and not brave then someone is kind or not creative and vice versa.
If someone is both wise and not rich then alice is not tall and vice versa.
If lucy is either wise or... | Susan is happy. | neutral | (![X]:(generous(X)=>(~generous(X)&wise(X))))&
((?[X]:((~patient(X)|~rich(X))))=>((~happy(john)|patient(john))))&
((?[X]:((old(X)&~brave(X))))<=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((wise(X)&~rich(X))))<=>(~tall(alice)))&
(((wise(lucy)<~>~brave(lucy)))=>(?[X]:(~quiet(X))))&
((?[X]:((~wise(X)<~>~funny(X))))=>(?[X]:(... | happy(susan) | [] | null | 0 |
Everyone who is generous is either not generous or humble and vice versa.
Everyone who is tall or humble is either not calm or generous and vice versa.
Everyone who is strong is quiet.
If someone is not generous or not funny then paul is either not strong or not creative.
If mary is rich or not wise then susan is eithe... | John is generous. | contradiction | (![X]:(generous(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((tall(X)|humble(X))<=>(~calm(X)<~>generous(X))))&
(![X]:(strong(X)=>quiet(X)))&
((?[X]:((~generous(X)|~funny(X))))=>((~strong(paul)<~>~creative(paul))))&
(((rich(mary)|~wise(mary)))<=>((~rich(susan)<~>~funny(susan))))&
(![X]:((curious(X)&~old(X))<=>~quiet(X)))&
... | generous(john) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 170080320862598229066169
% SZS output start Proof for 170080320862598229066169
1. ! [X0] : (generous(X0) <=> (~generous(X0) <~> humble(X0))) [input p0]
9. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> (wise(X0) | humble(X0))) [input p8]
24. generous(john) [input hypothesis]
38. ! [X0] : ((... | 0 |
If john is both quiet and old then susan is both humble and not tall and vice versa.
If someone is not patient then susan is both not generous and calm.
If someone is wise then someone is not quiet.
Everyone who is not brave or not happy is either patient or not creative and vice versa.
Everyone who is not patient or p... | Mary is not rich. | contradiction | (((quiet(john)&old(john)))<=>((humble(susan)&~tall(susan))))&
((?[X]:(~patient(X)))=>((~generous(susan)&calm(susan))))&
((?[X]:(wise(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)|~happy(X))<=>(patient(X)<~>~creative(X))))&
(![X]:((~patient(X)|patient(X))=>(~old(X)<~>~curious(X))))&
(((calm(john)&~patient(john)))=>((rich... | ~rich(mary) | [
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 41416952982566107881169
% SZS output start Proof for 41416952982566107881169
8. ! [X0] : (patient(X0) <=> (~generous(X0) | rich(X0))) [input p7]
12. ! [X0] : ((humble(X0) & generous(X0)) <=> (happy(X0) | ~rich(X0))) [input p11]
18. ~calm(mary) & patient(mary) [input p17]
24. ~rich(mary) [... | 0 |
Everyone who is not funny or kind is both not quiet and creative and vice versa.
Everyone who is not quiet or patient is both generous and not calm and vice versa.
If someone is humble then someone is not calm or not old and vice versa.
Everyone who is both not old and strong is either kind or tall.
If someone is brave... | Paul is not generous. | contradiction | (![X]:((~funny(X)|kind(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~quiet(X)|patient(X))<=>(generous(X)&~calm(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~old(X)&strong(X))=>(kind(X)<~>tall(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((rich(X)|~funny(X)))))&
((?[X]:((~calm(X)&strong(X))))<=>(?[X]:((... | ~generous(paul) | [
"p0",
"p1",
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6100812325139881886483714
% SZS output start Proof for 6100812325139881886483714
1. ! [X0] : ((kind(X0) | ~funny(X0)) <=> (creative(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) | ~quiet(X0)) <=> (~calm(X0) & generous(X0))) [input p1]
10. ? [X0] : (~kind(X0) <~> calm(X0)) => (ge... | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not humble.
Everyone who is curious is not quiet or strong.
Everyone who is old is rich and vice versa.
Everyone who is brave or happy is wise and vice versa.
If alice is both old and not creative then mary... | Lucy is quiet. | entailment | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:((brave(X)|happy(X))<=>wise(X)))&
(((old(alice)&~creative(alice)))=>((~calm(mary)|~strong(mary))))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:(~happy(X)=>... | quiet(lucy) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1085655071036471956842751
% SZS output start Proof for 1085655071036471956842751
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
15. ? [X0] : ~quiet(X0) <=> ? [X0] : strong(X0) [input p14]
24. ~quiet(lucy) [input hypothesis]
27. ? [X0] : ~quiet(X0) <=> ? [X1] : strong(... | 0 |
If mary is either wise or happy then paul is both humble and not kind.
If someone is not kind then someone is both not humble and old and vice versa.
If lucy is not old then someone is both quiet and not quiet and vice versa.
If paul is both wise and not patient then someone is old or calm and vice versa.
If mary is br... | Paul is not wise. | contradiction | (((wise(mary)<~>happy(mary)))=>((humble(paul)&~kind(paul))))&
((?[X]:(~kind(X)))<=>(?[X]:((~humble(X)&old(X)))))&
((~old(lucy))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(((wise(paul)&~patient(paul)))<=>(?[X]:((old(X)|calm(X)))))&
(((brave(mary)|~curious(mary)))=>(?[X]:((~happy(X)&~curious(X)))))&
((~kind(paul))=>((calm(mary)|... | ~wise(paul) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5251028043302654493675834
% SZS output start Proof for 5251028043302654493675834
3. ~old(lucy) <=> ? [X0] : (~quiet(X0) & quiet(X0)) [input p2]
4. (~patient(paul) & wise(paul)) <=> ? [X0] : (calm(X0) | old(X0)) [input p3]
25. ~wise(paul) [input hypothesis]
45. (~old(lucy) | ! [X0] : (quie... | 0 |
Everyone who is either wise or strong is both not humble and quiet and vice versa.
Everyone who is happy is creative or quiet and vice versa.
If someone is either not strong or not tall then someone is calm or wise.
If someone is not rich or not kind then someone is both generous and strong and vice versa.
Everyone who... | Paul is generous. | neutral | (![X]:((wise(X)<~>strong(X))<=>(~humble(X)&quiet(X))))&
(![X]:(happy(X)<=>(creative(X)|quiet(X))))&
((?[X]:((~strong(X)<~>~tall(X))))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((generous(X)&strong(X)))))&
(![X]:((funny(X)&~curious(X))<=>(patient(X)<~>wise(X))))&
((?[X]:((old(X)|rich(X))))=>(~w... | generous(paul) | [] | null | 0 |
Everyone who is both happy and not creative is not quiet or kind and vice versa.
Everyone who is both not tall and not humble is happy or quiet.
If john is either rich or funny then paul is either humble or happy.
If someone is not kind then someone is not rich or not curious and vice versa.
If john is both not strong ... | John is not old. | neutral | (![X]:((happy(X)&~creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:((~tall(X)&~humble(X))=>(happy(X)|quiet(X))))&
(((rich(john)<~>funny(john)))=>((humble(paul)<~>happy(paul))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)|~curious(X)))))&
(((~strong(john)&~patient(john)))<=>((~patient(lucy)<~>~tall(lucy))))&
((?[X]:(wise(X)))=>((... | ~old(john) | [] | null | 0 |
Everyone who is brave is not patient or not happy and vice versa.
Everyone who is not rich or old is tall or not happy.
If fred is both not old and funny then someone is not kind or patient and vice versa.
If someone is kind or creative then someone is either not patient or patient and vice versa.
Everyone who is funny... | Susan is not kind. | contradiction | (![X]:(brave(X)<=>(~patient(X)|~happy(X))))&
(![X]:((~rich(X)|old(X))=>(tall(X)|~happy(X))))&
(((~old(fred)&funny(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((kind(X)|creative(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:((funny(X)|humble(X))=>~calm(X)))&
(![X]:((~quiet(X)<~>wise(X))<=>(~brave(X)|~calm(X)... | ~kind(susan) | [
"p2",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8774430311283194538146211
% SZS output start Proof for 8774430311283194538146211
3. (funny(fred) & ~old(fred)) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p2]
5. ! [X0] : ((humble(X0) | funny(X0)) => ~calm(X0)) [input p4]
12. ! [X0] : ((~wise(X0) | ~calm(X0)) <=> (~rich(X0) & ~funny(X0)... | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Alice is patient. | neutral | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | patient(alice) | [] | null | 0 |
If paul is both not tall and creative then mary is not creative or kind and vice versa. Everyone who is not old or generous is either curious or not calm and vice versa. Everyone who is both brave and patient is tall or curious. If someone is both not curious and strong then someone is not humble. Everyone who is eithe... | Mary is not creative. | neutral | (((~tall(paul)&creative(paul)))<=>((~creative(mary)|kind(mary))))&
(![X]:((~old(X)|generous(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((brave(X)&patient(X))=>(tall(X)|curious(X))))&
((?[X]:((~curious(X)&strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>funny(X))=>(~creative(X)<~>tall(X))))&
(![X]:((wise(X)<~>patient(... | ~creative(mary) | [] | null | 0 |
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