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 brave or generous then someone is curious.
Everyone who is not patient or not quiet is both wise and brave and vice versa.
Everyone who is not happy or not old is both not wise and not curious.
Everyone who is not rich or not humble is either not old or not happy and vice versa.
Everyone who is both quiet... | Paul is not old. | neutral | ((?[X]:((brave(X)|generous(X))))=>(?[X]:(curious(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(wise(X)&brave(X))))&
(![X]:((~happy(X)|~old(X))=>(~wise(X)&~curious(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~old(X)<~>~happy(X))))&
(![X]:((quiet(X)&~kind(X))=>~calm(X)))&
(![X]:((creative(X)&~wise(X))=>(~tall(X)<~>patient(X))))&
(... | ~old(paul) | [] | null | 0 |
Everyone who is both calm and tall is either not old or not calm and vice versa.
Everyone who is both not calm and not strong is patient or not humble.
If someone is funny then alice is either not kind or rich and vice versa.
If someone is either funny or not brave then someone is not rich or humble and vice versa.
Eve... | Susan is funny. | contradiction | (![X]:((calm(X)&tall(X))<=>(~old(X)<~>~calm(X))))&
(![X]:((~calm(X)&~strong(X))=>(patient(X)|~humble(X))))&
((?[X]:(funny(X)))<=>((~kind(alice)<~>rich(alice))))&
((?[X]:((funny(X)<~>~brave(X))))<=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:((old(X)<~>calm(X))<=>(strong(X)|~quiet(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)<... | funny(susan) | [
"p0",
"p4",
"p8",
"p11",
"p15",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2478210671865804836384889
% SZS output start Proof for 2478210671865804836384889
1. ! [X0] : ((tall(X0) & calm(X0)) <=> (~old(X0) <~> ~calm(X0))) [input p0]
5. ! [X0] : ((old(X0) <~> calm(X0)) <=> (~quiet(X0) | strong(X0))) [input p4]
9. ! [X0] : ((happy(X0) & ~calm(X0)) <=> (generous(X0)... | 0 |
Everyone who is either quiet or brave is both not wise and brave.
If fred is tall then paul is not brave or not tall.
Everyone who is not quiet or not wise is funny.
If alice is quiet or not humble then someone is happy and vice versa.
Everyone who is not calm or strong is both not creative and not happy and vice versa... | Lucy is curious. | entailment | (![X]:((quiet(X)<~>brave(X))=>(~wise(X)&brave(X))))&
((tall(fred))=>((~brave(paul)|~tall(paul))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
(((quiet(alice)|~humble(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((humble(X)|~calm(X))))=>(?[X]:((generous(X)&~humble(X)))))&... | curious(lucy) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6796041434346889780765767
% SZS output start Proof for 6796041434346889780765767
7. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> tall(X0)) [input p6]
13. ! [X0] : (tall(X0) <=> ~strong(X0)) [input p12]
23. ~curious(lucy) [input hypothesis]
52. ! [X0] : ((((curious(X0) | strong(X0)) & (~cu... | 0 |
If mary is both old and tall then mary is generous.
If john is either not quiet or patient then lucy is happy and vice versa.
If john is not calm then someone is either not wise or not tall and vice versa.
If someone is either not rich or not generous then paul is both not humble and not kind and vice versa.
If someone... | Susan is not generous. | entailment | (((old(mary)&tall(mary)))=>(generous(mary)))&
(((~quiet(john)<~>patient(john)))<=>(happy(lucy)))&
((~calm(john))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
((?[X]:((~rich(X)<~>~generous(X))))<=>((~humble(paul)&~kind(paul))))&
((?[X]:((~tall(X)&~funny(X))))=>((~calm(fred)&~generous(fred))))&
(((~wise(paul)&curious(paul)))=>(?[X... | ~generous(susan) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7424920854113723764282607
% SZS output start Proof for 7424920854113723764282607
10. ? [X0] : (calm(X0) | generous(X0)) <=> (~rich(mary) & ~tall(mary)) [input p9]
14. ? [X0] : ~rich(X0) <=> tall(mary) [input p13]
23. generous(susan) [input hypothesis]
50. (? [X0] : (calm(X0) | generous(X0... | 0 |
If someone is both funny and not wise then someone is both not generous and brave and vice versa.
If someone is tall or quiet then fred is both not old and tall.
Everyone who is not generous is both not funny and kind and vice versa.
Everyone who is both not funny and not quiet is curious or not funny and vice versa.
I... | Alice is not quiet. | entailment | ((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((tall(X)|quiet(X))))=>((~old(fred)&tall(fred))))&
(![X]:(~generous(X)<=>(~funny(X)&kind(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(curious(X)|~funny(X))))&
((?[X]:((~tall(X)|~old(X))))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:((creative(X)|humble(X)... | ~quiet(alice) | [
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3909153629398423198889837
% SZS output start Proof for 3909153629398423198889837
3. ! [X0] : (~generous(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> (~funny(X0) | curious(X0))) [input p3]
13. ! [X0] : ((curious(X0) <~> old(X0)) <=> (~old(X0) | ~ge... | 0 |
If fred is both not brave and not generous then someone is both brave and not calm and vice versa.
If someone is either not kind or not funny then someone is both not wise and not kind and vice versa.
Everyone who is calm or patient is not happy and vice versa.
Everyone who is not curious or not wise is not rich and vi... | Susan is not generous. | contradiction | (((~brave(fred)&~generous(fred)))<=>(?[X]:((brave(X)&~calm(X)))))&
((?[X]:((~kind(X)<~>~funny(X))))<=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((calm(X)|patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~wise(X))<=>~rich(X)))&
(![X]:((tall(X)&~kind(X))=>(strong(X)<~>rich(X))))&
(![X]:((~patient(X)<~>calm(X))=>(wise(X)<~>~kind... | ~generous(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5948724571951993562880589
% SZS output start Proof for 5948724571951993562880589
11. ! [X0] : ((~creative(X0) <~> creative(X0)) => generous(X0)) [input p10]
25. ~generous(susan) [input hypothesis]
32. ! [X0] : (generous(X0) | (~creative(X0) <=> creative(X0))) [ennf transformation 11]
58. ... | 0 |
Everyone who is either old or funny is either strong or not old. Everyone who is humble is either calm or not quiet. If someone is both not curious and old then someone is wise or not humble. Everyone who is either not rich or strong is not humble and vice versa. If fred is not old then paul is both humble and not rich... | Lucy is old. | entailment | (![X]:((old(X)<~>funny(X))=>(strong(X)<~>~old(X))))&
(![X]:(humble(X)=>(calm(X)<~>~quiet(X))))&
((?[X]:((~curious(X)&old(X))))=>(?[X]:((wise(X)|~humble(X)))))&
(![X]:((~rich(X)<~>strong(X))<=>~humble(X)))&
((~old(fred))=>((humble(paul)&~rich(paul))))&
(![X]:(tall(X)=>(humble(X)|patient(X))))&
(![X]:((wise(X)|kind(X))=>... | old(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4367380837430902694123241
% SZS output start Proof for 4367380837430902694123241
20. old(lucy) [input p19]
25. ~old(lucy) [input hypothesis]
116. old(lucy) [cnf transformation 20]
124. ~old(lucy) [cnf transformation 25]
209. 19 <=> old(lucy) [avatar definition]
239. 19 [avatar split claus... | 0 |
If paul is quiet or kind then someone is not humble or not patient and vice versa.
If alice is brave then someone is not generous and vice versa.
Everyone who is humble or tall is either not creative or curious and vice versa.
If lucy is either tall or generous then someone is quiet.
Everyone who is either generous or ... | Lucy is tall. | neutral | (((quiet(paul)|kind(paul)))<=>(?[X]:((~humble(X)|~patient(X)))))&
((brave(alice))<=>(?[X]:(~generous(X))))&
(![X]:((humble(X)|tall(X))<=>(~creative(X)<~>curious(X))))&
(((tall(lucy)<~>generous(lucy)))=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~humble(X)|~quiet(X))))&
(![X]:((~wise(X)&~generous(X))=>(~old(X... | tall(lucy) | [] | null | 0 |
Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is either not humble or curious and vice versa. Everyo... | John is calm. | neutral | (![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~tall(fred)<~>~old(fred))))&
(... | calm(john) | [] | null | 0 |
Everyone who is kind or not humble is both old and not tall.
Everyone who is strong or old is both not wise and rich and vice versa.
Everyone who is calm or old is both not patient and old and vice versa.
If someone is either not creative or quiet then fred is kind or not happy and vice versa.
If lucy is either not tal... | John is not funny. | contradiction | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|old(X))<=>(~patient(X)&old(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((kind(fred)|~happy(fred))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![... | ~funny(john) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1854181642043064186756636
% SZS output start Proof for 1854181642043064186756636
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) | calm(X0)) <=> (old(X0) & ~patient(... | 0 |
If someone is humble then someone is either strong or not brave. Everyone who is both not humble and creative is either not tall or calm. If someone is funny then john is not patient and vice versa. Everyone who is old or not humble is both curious and generous and vice versa. Everyone who is patient is either not crea... | Paul is tall. | contradiction | ((?[X]:(humble(X)))=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~humble(X)&creative(X))=>(~tall(X)<~>calm(X))))&
((?[X]:(funny(X)))<=>(~patient(john)))&
(![X]:((old(X)|~humble(X))<=>(curious(X)&generous(X))))&
(![X]:(patient(X)<=>(~creative(X)<~>creative(X))))&
((?[X]:(funny(X)))<=>((wise(paul)&humble(paul))))&
(![X]:(... | tall(paul) | [
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7539661214597212612907415
% SZS output start Proof for 7539661214597212612907415
11. ~calm(paul) <=> ? [X0] : ~strong(X0) [input p10]
14. ! [X0] : ((~creative(X0) & rich(X0)) <=> tall(X0)) [input p13]
16. ! [X0] : ((calm(X0) & ~strong(X0)) <=> (~strong(X0) | rich(X0))) [input p15]
25. tal... | 0 |
Everyone who is generous is not calm or not patient.
If fred is brave then mary is both not creative and not wise and vice versa.
Everyone who is creative or kind is not happy or generous and vice versa.
If someone is either not curious or strong then someone is not happy or not tall and vice versa.
Everyone who is bot... | Alice is not creative. | contradiction | (![X]:(generous(X)=>(~calm(X)|~patient(X))))&
((brave(fred))<=>((~creative(mary)&~wise(mary))))&
(![X]:((creative(X)|kind(X))<=>(~happy(X)|generous(X))))&
((?[X]:((~curious(X)<~>strong(X))))<=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~funny(X)&tall(X))=>(~calm(X)|~creative(X))))&
((?[X]:((~generous(X)&patient(X))))<=>(?... | ~creative(alice) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6989706186547511968323415
% SZS output start Proof for 6989706186547511968323415
12. (~generous(alice) & quiet(alice)) <=> ? [X0] : (patient(X0) | ~patient(X0)) [input p11]
22. ~generous(alice) <~> ~creative(alice) [input p21]
25. ~creative(alice) [input hypothesis]
61. ((~generous(alice)... | 0 |
If fred is not brave or not curious then someone is either not humble or not kind. If lucy is either strong or happy then fred is patient. If someone is both not quiet and not tall then lucy is both happy and curious and vice versa. If someone is not quiet or strong then alice is both not generous and not kind and vice... | Susan is old. | entailment | (((~brave(fred)|~curious(fred)))=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((strong(lucy)<~>happy(lucy)))=>(patient(fred)))&
((?[X]:((~quiet(X)&~tall(X))))<=>((happy(lucy)&curious(lucy))))&
((?[X]:((~quiet(X)|strong(X))))<=>((~generous(alice)&~kind(alice))))&
(![X]:((brave(X)<~>strong(X))=>(~tall(X)|tall(X))))&
(((~happy(al... | old(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7900736907146104607444141
% SZS output start Proof for 7900736907146104607444141
14. ! [X0] : ((~happy(X0) | ~old(X0)) <=> old(X0)) [input p13]
25. ~old(susan) [input hypothesis]
64. ! [X0] : (((~happy(X0) | ~old(X0)) | ~old(X0)) & (old(X0) | (happy(X0) & old(X0)))) [nnf transformation 14... | 0 |
If susan is not calm then someone is not creative and vice versa. Everyone who is both funny and happy is both not happy and not calm and vice versa. If susan is either happy or not curious then someone is not curious. If fred is both not tall and kind then someone is not curious and vice versa. If alice is either quie... | Fred is not kind. | contradiction | ((~calm(susan))<=>(?[X]:(~creative(X))))&
(![X]:((funny(X)&happy(X))<=>(~happy(X)&~calm(X))))&
(((happy(susan)<~>~curious(susan)))=>(?[X]:(~curious(X))))&
(((~tall(fred)&kind(fred)))<=>(?[X]:(~curious(X))))&
(((quiet(alice)<~>~quiet(alice)))<=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:(patient(X)<=>(curious(X)|~rich(X)... | ~kind(fred) | [
"p3",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1589617359327120557710540
% SZS output start Proof for 1589617359327120557710540
4. (kind(fred) & ~tall(fred)) <=> ? [X0] : ~curious(X0) [input p3]
16. ? [X0] : (~old(X0) | funny(X0)) <=> ~curious(lucy) [input p15]
18. ? [X0] : (funny(X0) | ~curious(X0)) [input p17]
25. ~kind(fred) [input... | 0 |
If someone is either old or not brave then someone is both tall and rich and vice versa.
If someone is either wise or not strong then paul is both happy and not curious.
If someone is happy then someone is patient or happy.
If someone is both old and creative then someone is both kind and not generous and vice versa.
I... | Lucy is not funny. | contradiction | ((?[X]:((old(X)<~>~brave(X))))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((wise(X)<~>~strong(X))))=>((happy(paul)&~curious(paul))))&
((?[X]:(happy(X)))=>(?[X]:((patient(X)|happy(X)))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((~humble(X)<~>curious(X))))=>(rich(susan)))&
((~calm(mary))<=>(... | ~funny(lucy) | [
"p1",
"p8",
"p10",
"p14",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1012832541534290596461272
% SZS output start Proof for 1012832541534290596461272
2. ? [X0] : (wise(X0) <~> ~strong(X0)) => (~curious(paul) & happy(paul)) [input p1]
9. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (rich(X0) | happy(X0))) [input p8]
11. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> (... | 0 |
Everyone who is either not creative or brave is both not creative and strong and vice versa.
Everyone who is not curious is either not kind or not humble.
If john is generous then mary is funny.
Everyone who is both not generous and wise is either strong or not wise.
Everyone who is both not old and brave is not brave ... | Lucy is not wise. | entailment | (![X]:((~creative(X)<~>brave(X))<=>(~creative(X)&strong(X))))&
(![X]:(~curious(X)=>(~kind(X)<~>~humble(X))))&
((generous(john))=>(funny(mary)))&
(![X]:((~generous(X)&wise(X))=>(strong(X)<~>~wise(X))))&
(![X]:((~old(X)&brave(X))<=>~brave(X)))&
(((~kind(alice)|humble(alice)))<=>((~kind(john)<~>kind(john))))&
((?[X]:((~wi... | ~wise(lucy) | [
"p0",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3406685502471161036960869
% SZS output start Proof for 3406685502471161036960869
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (strong(X0) & ~creative(X0))) [input p0]
4. ! [X0] : ((wise(X0) & ~generous(X0)) => (strong(X0) <~> ~wise(X0))) [input p3]
5. ! [X0] : ((brave(X0) & ~old(X0)) <=... | 0 |
Everyone who is both not calm and not curious is curious or not old and vice versa. If fred is either curious or generous then someone is either not wise or not quiet. Everyone who is both not happy and happy is not happy or not humble and vice versa. If someone is not old or not wise then someone is not calm or wise a... | Fred is happy. | entailment | (![X]:((~calm(X)&~curious(X))<=>(curious(X)|~old(X))))&
(((curious(fred)<~>generous(fred)))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:((~happy(X)&happy(X))<=>(~happy(X)|~humble(X))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((curious(X)|kind(X))=>(~generous(X)&~calm(X))))&
((?[X]:((~creative(X... | happy(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5034429104408436750679077
% SZS output start Proof for 5034429104408436750679077
3. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (~humble(X0) | ~happy(X0))) [input p2]
23. ~happy(fred) [input hypothesis]
40. ! [X0] : (((happy(X0) & ~happy(X0)) | (humble(X0) & happy(X0))) & ((~humble(X0) | ~happ... | 0 |
If lucy is not patient or kind then someone is both kind and not wise. Everyone who is wise or not happy is not old or patient. If lucy is both calm and rich then someone is old or quiet and vice versa. If paul is kind or rich then lucy is both not strong and happy and vice versa. Everyone who is patient is both not br... | Fred is rich. | neutral | (((~patient(lucy)|kind(lucy)))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:((wise(X)|~happy(X))=>(~old(X)|patient(X))))&
(((calm(lucy)&rich(lucy)))<=>(?[X]:((old(X)|quiet(X)))))&
(((kind(paul)|rich(paul)))<=>((~strong(lucy)&happy(lucy))))&
(![X]:(patient(X)=>(~brave(X)&~curious(X))))&
(![X]:((calm(X)&tall(X))=>(~wise(X)<~>wis... | rich(fred) | [] | null | 0 |
If paul is not funny or not calm then mary is either not rich or curious and vice versa.
If someone is happy or quiet then someone is calm.
Everyone who is both happy and tall is brave and vice versa.
Everyone who is not brave or not wise is either not calm or tall and vice versa.
If john is not kind then mary is not f... | Lucy is not funny. | contradiction | (((~funny(paul)|~calm(paul)))<=>((~rich(mary)<~>curious(mary))))&
((?[X]:((happy(X)|quiet(X))))=>(?[X]:(calm(X))))&
(![X]:((happy(X)&tall(X))<=>brave(X)))&
(![X]:((~brave(X)|~wise(X))<=>(~calm(X)<~>tall(X))))&
((~kind(john))=>((~funny(mary)|humble(mary))))&
((?[X]:((~patient(X)&curious(X))))=>(~calm(john)))&
(![X]:(ric... | ~funny(lucy) | [
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7288355044606853138758184
% SZS output start Proof for 7288355044606853138758184
8. ! [X0] : (~kind(X0) <=> (~curious(X0) <~> funny(X0))) [input p7]
12. ! [X0] : (~calm(X0) => (curious(X0) & ~kind(X0))) [input p11]
20. ~calm(lucy) [input p19]
25. ~funny(lucy) [input hypothesis]
35. ! [X0]... | 0 |
Everyone who is both not generous and patient is brave and vice versa. If someone is either not strong or not rich then someone is not kind and vice versa. Everyone who is rich is either brave or curious. If fred is either not patient or not brave then someone is not kind or happy and vice versa. Everyone who is not wi... | Susan is not wise. | contradiction | (![X]:((~generous(X)&patient(X))<=>brave(X)))&
((?[X]:((~strong(X)<~>~rich(X))))<=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(brave(X)<~>curious(X))))&
(((~patient(fred)<~>~brave(fred)))<=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:(~wise(X)<=>(~creative(X)&wise(X))))&
(![X]:((~humble(X)|~brave(X))<=>~rich(X)))&
(![X]:(old(X)<=>(~... | ~wise(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3807193325653394944114268
% SZS output start Proof for 3807193325653394944114268
5. ! [X0] : (~wise(X0) <=> (wise(X0) & ~creative(X0))) [input p4]
22. ~wise(susan) [input hypothesis]
46. ! [X0] : ((~wise(X0) | (~wise(X0) | creative(X0))) & ((wise(X0) & ~creative(X0)) | wise(X0))) [nnf tra... | 0 |
Everyone who is not tall is both old and creative.
Everyone who is either not generous or not humble is not tall or not happy.
Everyone who is both generous and not humble is both strong and curious and vice versa.
If someone is both not patient and not creative then someone is not brave and vice versa.
If paul is happ... | John is funny. | neutral | (![X]:(~tall(X)=>(old(X)&creative(X))))&
(![X]:((~generous(X)<~>~humble(X))=>(~tall(X)|~happy(X))))&
(![X]:((generous(X)&~humble(X))<=>(strong(X)&curious(X))))&
((?[X]:((~patient(X)&~creative(X))))<=>(?[X]:(~brave(X))))&
(((happy(paul)|strong(paul)))<=>((patient(alice)|creative(alice))))&
(![X]:((old(X)|~calm(X))<=>(pa... | funny(john) | [] | null | 0 |
Everyone who is not calm or curious is either humble or rich.
Everyone who is not tall is not generous and vice versa.
If john is not wise or not generous then someone is both not rich and not humble.
Everyone who is not old is both strong and funny and vice versa.
Everyone who is not calm or kind is not happy or not w... | Mary is curious. | neutral | (![X]:((~calm(X)|curious(X))=>(humble(X)<~>rich(X))))&
(![X]:(~tall(X)<=>~generous(X)))&
(((~wise(john)|~generous(john)))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:(~old(X)<=>(strong(X)&funny(X))))&
(![X]:((~calm(X)|kind(X))=>(~happy(X)|~wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((wise(X... | curious(mary) | [] | null | 0 |
Everyone who is both funny and not curious is patient and vice versa.
Everyone who is not patient is happy and vice versa.
Everyone who is either brave or not patient is either tall or not humble.
If fred is not patient then someone is either not brave or not wise and vice versa.
Everyone who is either not brave or not... | Lucy is kind. | contradiction | (![X]:((funny(X)&~curious(X))<=>patient(X)))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((brave(X)<~>~patient(X))=>(tall(X)<~>~humble(X))))&
((~patient(fred))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((~brave(X)<~>~patient(X))<=>(happy(X)&rich(X))))&
(![X]:(generous(X)=>(~kind(X)<~>tall(X))))&
(![X]:((tall(X)<~>~tall(X))... | kind(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6874991281531302701474145
% SZS output start Proof for 6874991281531302701474145
2. ! [X0] : (~patient(X0) <=> happy(X0)) [input p1]
3. ! [X0] : ((brave(X0) <~> ~patient(X0)) => (tall(X0) <~> ~humble(X0))) [input p2]
5. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> (rich(X0) & happy(X0))) [... | 0 |
Everyone who is either old or not old is both funny and patient and vice versa.
Everyone who is curious is kind or brave.
If someone is both not wise and not patient then someone is either creative or rich.
Everyone who is humble or quiet is not rich and vice versa.
Everyone who is not wise is both curious and creative... | Susan is not quiet. | entailment | (![X]:((old(X)<~>~old(X))<=>(funny(X)&patient(X))))&
(![X]:(curious(X)=>(kind(X)|brave(X))))&
((?[X]:((~wise(X)&~patient(X))))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:((humble(X)|quiet(X))<=>~rich(X)))&
(![X]:(~wise(X)<=>(curious(X)&creative(X))))&
((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]... | ~quiet(susan) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7271003036163572715276322
% SZS output start Proof for 7271003036163572715276322
1. ! [X0] : ((old(X0) <~> ~old(X0)) <=> (patient(X0) & funny(X0))) [input p0]
5. ! [X0] : (~wise(X0) <=> (creative(X0) & curious(X0))) [input p4]
7. ! [X0] : ((old(X0) & ~curious(X0)) <=> (humble(X0) | calm(X... | 0 |
Everyone who is happy or quiet is not creative.
Everyone who is both kind and generous is rich.
If fred is either curious or not funny then someone is either old or patient and vice versa.
Everyone who is not tall or not happy is not old or tall.
If fred is not generous then someone is not calm and vice versa.
If fred ... | Lucy is funny. | entailment | (![X]:((happy(X)|quiet(X))=>~creative(X)))&
(![X]:((kind(X)&generous(X))=>rich(X)))&
(((curious(fred)<~>~funny(fred)))<=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:((~tall(X)|~happy(X))=>(~old(X)|tall(X))))&
((~generous(fred))<=>(?[X]:(~calm(X))))&
(((~creative(fred)&~humble(fred)))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((... | funny(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3292848107935648690562635
% SZS output start Proof for 3292848107935648690562635
11. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p10]
25. ~funny(lucy) [input hypothesis]
50. ! [X0] : ((funny(X0) | (calm(X0) & funny(X0))) & ((~calm(X0) | ~funny(X0)) | ~funny(X0))) [nnf transfo... | 0 |
Everyone who is either brave or not creative is not quiet or quiet.
Everyone who is not patient is both not kind and not patient.
Everyone who is not curious or creative is kind or strong and vice versa.
Everyone who is both not calm and not tall is both calm and not quiet and vice versa.
Everyone who is either happy o... | Fred is brave. | entailment | (![X]:((brave(X)<~>~creative(X))=>(~quiet(X)|quiet(X))))&
(![X]:(~patient(X)=>(~kind(X)&~patient(X))))&
(![X]:((~curious(X)|creative(X))<=>(kind(X)|strong(X))))&
(![X]:((~calm(X)&~tall(X))<=>(calm(X)&~quiet(X))))&
(![X]:((happy(X)<~>generous(X))<=>~calm(X)))&
(![X]:(tall(X)=>~strong(X)))&
((?[X]:((wise(X)<~>humble(X)))... | brave(fred) | [
"p3",
"p5",
"p10",
"p11",
"p13",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1065697672508616837783694
% SZS output start Proof for 1065697672508616837783694
4. ! [X0] : ((~tall(X0) & ~calm(X0)) <=> (~quiet(X0) & calm(X0))) [input p3]
6. ! [X0] : (tall(X0) => ~strong(X0)) [input p5]
11. ? [X0] : (quiet(X0) | brave(X0)) => (brave(fred) <~> rich(fred)) [input p10]
1... | 0 |
If someone is both not tall and not curious then someone is either wise or not tall and vice versa.
Everyone who is both not generous and not wise is curious.
Everyone who is either wise or not funny is either not brave or not strong and vice versa.
Everyone who is either not strong or not quiet is rich or not creative... | Mary is not strong. | entailment | ((?[X]:((~tall(X)&~curious(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((~generous(X)&~wise(X))=>curious(X)))&
(![X]:((wise(X)<~>~funny(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(rich(X)|~creative(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)&~calm(X))))&
(![X]:((generous(X)&strong(X))<=>(~... | ~strong(mary) | [
"p1",
"p5",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5853528579163616754235424
% SZS output start Proof for 5853528579163616754235424
2. ! [X0] : ((~wise(X0) & ~generous(X0)) => curious(X0)) [input p1]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (calm(X0) & ~brave(X0))) [input p5]
7. ! [X0] : ((tall(X0) | ~calm(X0)) => (~curious(X0) & old(... | 0 |
If lucy is either not funny or strong then someone is not wise or not strong and vice versa.
Everyone who is strong or not calm is either not humble or not old.
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is both not quiet and not curious is either not curious or patient.
If someo... | Lucy is not calm. | neutral | (((~funny(lucy)<~>strong(lucy)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((strong(X)|~calm(X))=>(~humble(X)<~>~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~curious(X)<~>patient(X))))&
((?[X]:((~happy(X)<~>calm(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~strong(X)&~humble(X))))<... | ~calm(lucy) | [] | null | 0 |
If lucy is not tall then mary is not creative and vice versa. Everyone who is both not tall and strong is not quiet or not funny and vice versa. If mary is not curious or kind then fred is both creative and funny. Everyone who is generous is either happy or not quiet and vice versa. If paul is happy then john is quiet ... | Paul is not happy. | contradiction | ((~tall(lucy))<=>(~creative(mary)))&
(![X]:((~tall(X)&strong(X))<=>(~quiet(X)|~funny(X))))&
(((~curious(mary)|kind(mary)))=>((creative(fred)&funny(fred))))&
(![X]:(generous(X)<=>(happy(X)<~>~quiet(X))))&
((happy(paul))<=>(quiet(john)))&
(![X]:((~calm(X)&~kind(X))=>funny(X)))&
(![X]:((~strong(X)|~rich(X))=>(~humble(X)|p... | ~happy(paul) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7160144504888064977909660
% SZS output start Proof for 7160144504888064977909660
2. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p1]
5. happy(paul) <=> quiet(john) [input p4]
11. ! [X0] : ((~old(X0) & ~strong(X0)) <=> ~quiet(X0)) [input p10]
22. ~happy(paul) [i... | 0 |
If susan is both not rich and not kind then someone is not wise or quiet.
If someone is either not old or kind then alice is either brave or old and vice versa.
If fred is either old or patient then someone is wise or not kind and vice versa.
If susan is both not humble and not creative then someone is not brave.
If so... | Alice is not curious. | entailment | (((~rich(susan)&~kind(susan)))=>(?[X]:((~wise(X)|quiet(X)))))&
((?[X]:((~old(X)<~>kind(X))))<=>((brave(alice)<~>old(alice))))&
(((old(fred)<~>patient(fred)))<=>(?[X]:((wise(X)|~kind(X)))))&
(((~humble(susan)&~creative(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&brave(X))))=>((~tall(alice)|wise(alice))))&
((?[X]:(... | ~curious(alice) | [
"p6",
"p7",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2493230455277646017790659
% SZS output start Proof for 2493230455277646017790659
7. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> ~creative(X0)) [input p6]
8. ? [X0] : calm(X0) => ~creative(alice) [input p7]
16. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (~curious(X0) & quiet(X0))) [input p15]
2... | 0 |
Everyone who is both not happy and not brave is either creative or patient.
Everyone who is either brave or patient is either not humble or curious and vice versa.
Everyone who is both not humble and humble is not wise or not rich and vice versa.
Everyone who is either happy or not generous is old.
Everyone who is calm... | Alice is creative. | neutral | (![X]:((~happy(X)&~brave(X))=>(creative(X)<~>patient(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((~humble(X)&humble(X))<=>(~wise(X)|~rich(X))))&
(![X]:((happy(X)<~>~generous(X))=>old(X)))&
(![X]:(calm(X)<=>(~brave(X)&~tall(X))))&
((~funny(fred))<=>(?[X]:((~patient(X)&~quiet(X)))))&
((~cr... | creative(alice) | [] | null | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Lucy is not tall. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | ~tall(lucy) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5355232118496211789262519
% SZS output start Proof for 5355232118496211789262519
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
5. ! [X0] : ((old(X0) | kind(X0)) => happy(X0)) [input p4]
6. ! [X0] : ((~calm(X0) & ~curious(X0)) <=> (~happy(X0) <~> brave(X0))) [input p... | 0 |
If someone is both curious and happy then someone is both not quiet and not rich.
Everyone who is either tall or brave is tall and vice versa.
Everyone who is either happy or not generous is not funny.
If john is not rich then someone is both strong and brave.
If someone is kind or not creative then someone is both gen... | John is brave. | contradiction | ((?[X]:((curious(X)&happy(X))))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:((tall(X)<~>brave(X))<=>tall(X)))&
(![X]:((happy(X)<~>~generous(X))=>~funny(X)))&
((~rich(john))=>(?[X]:((strong(X)&brave(X)))))&
((?[X]:((kind(X)|~creative(X))))<=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:((kind(X)&old(X))<=>(patient(X)|tall(X)))... | brave(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3317049996766872556187356
% SZS output start Proof for 3317049996766872556187356
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> tall(X0)) [input p1]
25. brave(john) [input hypothesis]
44. ! [X0] : ((((~brave(X0) | ~tall(X0)) & (brave(X0) | tall(X0))) | ~tall(X0)) & (tall(X0) | ((tall(X0) | ~br... | 0 |
Everyone who is both not brave and not humble is not rich or not tall.
Everyone who is either creative or old is either humble or patient and vice versa.
Everyone who is happy or not rich is tall or happy and vice versa.
If someone is both tall and not creative then someone is not funny or not strong and vice versa.
Ev... | Mary is not curious. | contradiction | (![X]:((~brave(X)&~humble(X))=>(~rich(X)|~tall(X))))&
(![X]:((creative(X)<~>old(X))<=>(humble(X)<~>patient(X))))&
(![X]:((happy(X)|~rich(X))<=>(tall(X)|happy(X))))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:((tall(X)<~>~old(X))=>(~brave(X)&~generous(X))))&
((?[X]:((~old(X)|strong(X))))=... | ~curious(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5126723498540467645869590
% SZS output start Proof for 5126723498540467645869590
17. curious(mary) [input p16]
23. ~curious(mary) [input hypothesis]
136. curious(mary) [cnf transformation 17]
145. ~curious(mary) [cnf transformation 23]
284. $false [subsumption resolution 145,136]
% SZS ou... | 0 |
If someone is strong or not rich then susan is not rich or curious and vice versa.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If john is both not old and happy then john is not generous or wise and vice versa.
Everyone who i... | Mary is not curious. | entailment | ((?[X]:((strong(X)|~rich(X))))<=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~funny(X)&funny(X))))&
(![X]:((rich(X)<~>~tal... | ~curious(mary) | [
"p4",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3344354589886534969901952
% SZS output start Proof for 3344354589886534969901952
5. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
14. ! [X0] : ((curious(X0) & brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p13]
21. ~quiet(mary) <~> ~patient(mary) [input ... | 0 |
Everyone who is not calm is either kind or generous and vice versa. Everyone who is both not brave and kind is both old and not kind. Everyone who is either not creative or not happy is old. Everyone who is both not humble and not rich is either generous or creative and vice versa. Everyone who is either not happy or s... | Mary is not curious. | contradiction | (![X]:(~calm(X)<=>(kind(X)<~>generous(X))))&
(![X]:((~brave(X)&kind(X))=>(old(X)&~kind(X))))&
(![X]:((~creative(X)<~>~happy(X))=>old(X)))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(~happy(X)|~tall(X))))&
(![X]... | ~curious(mary) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 11347735303084835089629
% SZS output start Proof for 11347735303084835089629
2. ! [X0] : ((kind(X0) & ~brave(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (generous(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & funny(X0)) <=> (~tall... | 0 |
If susan is strong or not old then someone is both not humble and not brave.
Everyone who is curious is both tall and happy and vice versa.
Everyone who is not quiet is either not quiet or wise and vice versa.
If lucy is strong or brave then someone is not happy or not patient and vice versa.
Everyone who is not kind o... | John is tall. | contradiction | (((strong(susan)|~old(susan)))=>(?[X]:((~humble(X)&~brave(X)))))&
(![X]:(curious(X)<=>(tall(X)&happy(X))))&
(![X]:(~quiet(X)<=>(~quiet(X)<~>wise(X))))&
(((strong(lucy)|brave(lucy)))<=>(?[X]:((~happy(X)|~patient(X)))))&
(![X]:((~kind(X)|quiet(X))=>~old(X)))&
(![X]:((~curious(X)|~patient(X))=>(~happy(X)<~>~curious(X))))&... | tall(john) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 681716230066360504593513
% SZS output start Proof for 681716230066360504593513
2. ! [X0] : (curious(X0) <=> (happy(X0) & tall(X0))) [input p1]
5. ! [X0] : ((quiet(X0) | ~kind(X0)) => ~old(X0)) [input p4]
6. ! [X0] : ((~patient(X0) | ~curious(X0)) => (~happy(X0) <~> ~curious(X0))) [input p... | 0 |
Everyone who is either not patient or not curious is both not kind and not happy.
Everyone who is not old or not strong is not calm or not patient.
Everyone who is generous is not funny and vice versa.
If alice is both tall and not calm then someone is both wise and funny and vice versa.
Everyone who is either not rich... | Mary is strong. | neutral | (![X]:((~patient(X)<~>~curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((~old(X)|~strong(X))=>(~calm(X)|~patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
(((tall(alice)&~calm(alice)))<=>(?[X]:((wise(X)&funny(X)))))&
(![X]:((~rich(X)<~>~generous(X))<=>calm(X)))&
(![X]:((~kind(X)|~generous(X))=>humble(X)))&
(![X]:((~generous(... | strong(mary) | [] | null | 0 |
If alice is either calm or not quiet then john is generous and vice versa. Everyone who is either not strong or happy is not quiet and vice versa. If susan is both wise and rich then mary is kind or not patient and vice versa. Everyone who is quiet or not calm is either brave or quiet and vice versa. Everyone who is ei... | Mary is not generous. | contradiction | (((calm(alice)<~>~quiet(alice)))<=>(generous(john)))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(((wise(susan)&rich(susan)))<=>((kind(mary)|~patient(mary))))&
(![X]:((quiet(X)|~calm(X))<=>(brave(X)<~>quiet(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(brave(X)|tall(X))))&
(![X]:((kind(X)|~patient(X))=>(~quiet(X)<~>happy(... | ~generous(mary) | [
"p1",
"p3",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6194677484445043237816684
% SZS output start Proof for 6194677484445043237816684
2. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (brave(X0) <~> quiet(X0))) [input p3]
6. ! [X0] : ((~patient(X0) | kind(X0)) => (~quiet(X0) <~> hap... | 0 |
Everyone who is not strong is both curious and not kind and vice versa.
Everyone who is both not kind and not happy is either tall or not old and vice versa.
If someone is not kind then john is both funny and not funny.
If lucy is either rich or not curious then someone is not creative and vice versa.
If alice is both ... | John is kind. | entailment | (![X]:(~strong(X)<=>(curious(X)&~kind(X))))&
(![X]:((~kind(X)&~happy(X))<=>(tall(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>((funny(john)&~funny(john))))&
(((rich(lucy)<~>~curious(lucy)))<=>(?[X]:(~creative(X))))&
(((strong(alice)&~curious(alice)))=>(?[X]:((creative(X)<~>~generous(X)))))&
((?[X]:((~creative(X)<~>~generous(X)... | kind(john) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3607518402125035758842622
% SZS output start Proof for 3607518402125035758842622
3. ? [X0] : ~kind(X0) => (~funny(john) & funny(john)) [input p2]
22. ~kind(john) <~> funny(john) [input p21]
24. ~kind(john) [input hypothesis]
27. (~funny(john) & funny(john)) | ! [X0] : kind(X0) [ennf trans... | 0 |
Everyone who is both curious and not kind is not funny and vice versa. If someone is not patient then someone is rich or happy. Everyone who is not happy or not rich is kind or calm and vice versa. Everyone who is not generous or not humble is not calm or not rich and vice versa. If someone is not kind then someone is ... | Paul is not funny. | contradiction | (![X]:((curious(X)&~kind(X))<=>~funny(X)))&
((?[X]:(~patient(X)))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~happy(X)|~rich(X))<=>(kind(X)|calm(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X)|~rich(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~generous(X))))&
((?[X]:((~kind(X)<~>~rich(X))))=>((~brave(mary)&~humble(mary))))&
(![... | ~funny(paul) | [
"p0",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 328281429191005776696904
% SZS output start Proof for 328281429191005776696904
1. ! [X0] : ((~kind(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
5. ? [X0] : ~kind(X0) <=> ? [X0] : ~generous(X0) [input p4]
7. ! [X0] : ((~curious(X0) & humble(X0)) <=> (~calm(X0) | ~generous(X0))) [input p6]... | 0 |
If someone is both calm and wise then paul is not strong.
Everyone who is wise is not funny or not old.
If someone is humble or not quiet then someone is both rich and old and vice versa.
If susan is either not funny or not generous then fred is both not calm and not happy.
Everyone who is creative or not strong is not... | John is patient. | neutral | ((?[X]:((calm(X)&wise(X))))=>(~strong(paul)))&
(![X]:(wise(X)=>(~funny(X)|~old(X))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
(![X]:((creative(X)|~strong(X))=>~creative(X)))&
(![X]:(creative(X)=>tall(X)))&
(![X]:((patient(X)&~ki... | patient(john) | [] | null | 0 |
If someone is either not happy or not calm then alice is kind.
Everyone who is both quiet and not patient is either curious or not curious.
Everyone who is either patient or old is either happy or curious and vice versa.
Everyone who is both wise and strong is happy or rich.
Everyone who is either creative or not happy... | Mary is generous. | entailment | ((?[X]:((~happy(X)<~>~calm(X))))=>(kind(alice)))&
(![X]:((quiet(X)&~patient(X))=>(curious(X)<~>~curious(X))))&
(![X]:((patient(X)<~>old(X))<=>(happy(X)<~>curious(X))))&
(![X]:((wise(X)&strong(X))=>(happy(X)|rich(X))))&
(![X]:((creative(X)<~>~happy(X))=>(creative(X)|~funny(X))))&
(((patient(fred)|strong(fred)))<=>(?[X]:... | generous(mary) | [
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 808057989827983668087292
% SZS output start Proof for 808057989827983668087292
7. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (brave(X0) | ~quiet(X0))) [input p6]
11. ? [X0] : wise(X0) <=> (generous(mary) & strong(mary)) [input p10]
22. ? [X0] : (brave(X0) | wise(X0)) [input p21]
24. ~generous... | 0 |
Everyone who is both tall and quiet is creative or wise.
Everyone who is either not tall or strong is both rich and not kind.
If someone is either patient or not old then lucy is both not strong and old.
Everyone who is brave is not brave.
Everyone who is not humble is either not kind or not calm.
Everyone who is eithe... | John is generous. | entailment | (![X]:((tall(X)&quiet(X))=>(creative(X)|wise(X))))&
(![X]:((~tall(X)<~>strong(X))=>(rich(X)&~kind(X))))&
((?[X]:((patient(X)<~>~old(X))))=>((~strong(lucy)&old(lucy))))&
(![X]:(brave(X)=>~brave(X)))&
(![X]:(~humble(X)=>(~kind(X)<~>~calm(X))))&
(![X]:((quiet(X)<~>~tall(X))=>(kind(X)|tall(X))))&
(![X]:((~tall(X)&funny(X))... | generous(john) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 363506667764835342994214
% SZS output start Proof for 363506667764835342994214
4. ! [X0] : (brave(X0) => ~brave(X0)) [input p3]
12. ! [X0] : ((~generous(X0) | wise(X0)) <=> (brave(X0) & ~calm(X0))) [input p11]
25. ~generous(john) [input hypothesis]
30. ! [X0] : (~brave(X0) | ~brave(X0)) [... | 0 |
If someone is creative then paul is either not generous or not calm and vice versa.
If someone is both not rich and patient then john is both not calm and not kind.
If someone is calm then someone is either rich or tall.
If someone is not tall then someone is both not strong and old.
If someone is both not brave and no... | John is not creative. | contradiction | ((?[X]:(creative(X)))<=>((~generous(paul)<~>~calm(paul))))&
((?[X]:((~rich(X)&patient(X))))=>((~calm(john)&~kind(john))))&
((?[X]:(calm(X)))=>(?[X]:((rich(X)<~>tall(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((~strong(X)&old(X)))))&
((?[X]:((~brave(X)&~generous(X))))=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:(~brave(X)=>(~funny(... | ~creative(john) | [
"p8",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 875672176807798945350692
% SZS output start Proof for 875672176807798945350692
9. ! [X0] : ((curious(X0) & ~tall(X0)) <=> (creative(X0) <~> tall(X0))) [input p8]
10. ! [X0] : ((~creative(X0) & ~tall(X0)) => (calm(X0) & ~strong(X0))) [input p9]
16. ! [X0] : ((brave(X0) & calm(X0)) <=> calm... | 0 |
Everyone who is both creative and wise is generous.
Everyone who is not kind is not curious or creative and vice versa.
If john is not calm then someone is not wise.
If someone is strong or kind then fred is not happy and vice versa.
Everyone who is not strong or kind is not calm and vice versa.
Everyone who is either ... | Fred is not strong. | neutral | (![X]:((creative(X)&wise(X))=>generous(X)))&
(![X]:(~kind(X)<=>(~curious(X)|creative(X))))&
((~calm(john))=>(?[X]:(~wise(X))))&
((?[X]:((strong(X)|kind(X))))<=>(~happy(fred)))&
(![X]:((~strong(X)|kind(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~rich(X))<=>(~old(X)&patient(X))))&
(![X]:((~rich(X)<~>~happy(X))=>(~happy(X)<~>... | ~strong(fred) | [] | null | 0 |
If someone is not creative or patient then someone is humble and vice versa.
If john is kind then fred is not patient or old and vice versa.
If someone is both rich and generous then fred is old or funny.
Everyone who is patient or not wise is funny and vice versa.
Everyone who is not patient or brave is not generous a... | Alice is not generous. | entailment | ((?[X]:((~creative(X)|patient(X))))<=>(?[X]:(humble(X))))&
((kind(john))<=>((~patient(fred)|old(fred))))&
((?[X]:((rich(X)&generous(X))))=>((old(fred)|funny(fred))))&
(![X]:((patient(X)|~wise(X))<=>funny(X)))&
(![X]:((~patient(X)|brave(X))<=>~generous(X)))&
(![X]:((~brave(X)<~>~tall(X))<=>brave(X)))&
(![X]:(wise(X)<=>(... | ~generous(alice) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6137738918755196086728130
% SZS output start Proof for 6137738918755196086728130
4. ! [X0] : ((~wise(X0) | patient(X0)) <=> funny(X0)) [input p3]
5. ! [X0] : ((brave(X0) | ~patient(X0)) <=> ~generous(X0)) [input p4]
7. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~funny(X0))) [input p6]
21. gene... | 0 |
Everyone who is both quiet and not kind is both not kind and funny and vice versa.
Everyone who is not brave or strong is both brave and not quiet and vice versa.
If john is either not funny or not old then mary is either not patient or not happy and vice versa.
Everyone who is not rich is not brave or not humble.
Ever... | Susan is quiet. | contradiction | (![X]:((quiet(X)&~kind(X))<=>(~kind(X)&funny(X))))&
(![X]:((~brave(X)|strong(X))<=>(brave(X)&~quiet(X))))&
(((~funny(john)<~>~old(john)))<=>((~patient(mary)<~>~happy(mary))))&
(![X]:(~rich(X)=>(~brave(X)|~humble(X))))&
(![X]:(~kind(X)<=>rich(X)))&
(![X]:((creative(X)&~quiet(X))=>(calm(X)&strong(X))))&
((?[X]:(strong(X)... | quiet(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4315289599374933725728442
% SZS output start Proof for 4315289599374933725728442
1. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (funny(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p1]
4. ! [X0] : (~rich(X0) => (~humble(X0) | ~brave(X0)... | 0 |
If someone is not creative then someone is brave.
If someone is either not creative or not kind then fred is both not funny and calm.
Everyone who is rich is either happy or generous.
Everyone who is both not tall and creative is rich.
If someone is old or not calm then someone is calm.
If paul is generous then alice i... | John is humble. | entailment | ((?[X]:(~creative(X)))=>(?[X]:(brave(X))))&
((?[X]:((~creative(X)<~>~kind(X))))=>((~funny(fred)&calm(fred))))&
(![X]:(rich(X)=>(happy(X)<~>generous(X))))&
(![X]:((~tall(X)&creative(X))=>rich(X)))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(calm(X))))&
((generous(paul))=>((~tall(alice)|humble(alice))))&
((?[X]:(~calm(X)))=>(?[... | humble(john) | [
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1632535620343094887853142
% SZS output start Proof for 1632535620343094887853142
9. ! [X0] : (~patient(X0) <=> ~creative(X0)) [input p8]
14. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p13]
15. ! [X0] : (~humble(X0) => (patient(X0) <~> creative(X0))) [input p14]
25. ~humble(john) [input... | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Alice is not tall. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | ~tall(alice) | [] | null | 0 |
Everyone who is both brave and not calm is either happy or not wise and vice versa.
Everyone who is strong is either not generous or not kind.
If someone is not funny then mary is either wise or not creative and vice versa.
Everyone who is funny is curious or not kind.
Everyone who is both not old and kind is quiet and... | Fred is brave. | entailment | (![X]:((brave(X)&~calm(X))<=>(happy(X)<~>~wise(X))))&
(![X]:(strong(X)=>(~generous(X)<~>~kind(X))))&
((?[X]:(~funny(X)))<=>((wise(mary)<~>~creative(mary))))&
(![X]:(funny(X)=>(curious(X)|~kind(X))))&
(![X]:((~old(X)&kind(X))<=>quiet(X)))&
(![X]:((humble(X)|~wise(X))<=>kind(X)))&
(((~calm(lucy)|~tall(lucy)))=>(?[X]:((fu... | brave(fred) | [
"p0",
"p4",
"p5",
"p9",
"p12",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8993489784993747352715245
% SZS output start Proof for 8993489784993747352715245
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (happy(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((kind(X0) & ~old(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~wise(X0) | humble(X0)) <=> kind(X0)) [input p5]
10. !... | 0 |
Everyone who is not humble is wise.
If mary is both calm and not brave then john is not creative and vice versa.
Everyone who is old or strong is both funny and not quiet and vice versa.
If someone is both strong and not creative then alice is either not tall or patient and vice versa.
Everyone who is either not strong... | Alice is brave. | contradiction | (![X]:(~humble(X)=>wise(X)))&
(((calm(mary)&~brave(mary)))<=>(~creative(john)))&
(![X]:((old(X)|strong(X))<=>(funny(X)&~quiet(X))))&
((?[X]:((strong(X)&~creative(X))))<=>((~tall(alice)<~>patient(alice))))&
(![X]:((~strong(X)<~>old(X))=>(strong(X)|quiet(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~calm(X)&patient(X))))&
(... | brave(alice) | [
"p2",
"p6",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1864375282404223810949343
% SZS output start Proof for 1864375282404223810949343
3. ! [X0] : ((strong(X0) | old(X0)) <=> (~quiet(X0) & funny(X0))) [input p2]
7. ! [X0] : (old(X0) => (patient(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~old(X0) | ~rich(X0)) <=> quiet(X0)) [input p7]
18. ol... | 0 |
Everyone who is both creative and brave is both not kind and not quiet and vice versa.
Everyone who is either not brave or not creative is both not quiet and not humble and vice versa.
If mary is either strong or funny then alice is both not quiet and brave.
Everyone who is brave or not curious is both not brave and br... | Fred is humble. | entailment | (![X]:((creative(X)&brave(X))<=>(~kind(X)&~quiet(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~quiet(X)&~humble(X))))&
(((strong(mary)<~>funny(mary)))=>((~quiet(alice)&brave(alice))))&
(![X]:((brave(X)|~curious(X))<=>(~brave(X)&brave(X))))&
((?[X]:((patient(X)|~curious(X))))<=>((~brave(fred)<~>old(fred))))&
(((~strong(j... | humble(fred) | [
"p3",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1753537461401567053837613
% SZS output start Proof for 1753537461401567053837613
4. ! [X0] : ((~curious(X0) | brave(X0)) <=> (brave(X0) & ~brave(X0))) [input p3]
9. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~patient(X0)) [input p8]
14. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (old(X0) | ... | 0 |
Everyone who is either happy or not old is kind or not quiet and vice versa.
Everyone who is both not wise and not curious is kind or tall.
If fred is either not quiet or not generous then john is either creative or tall and vice versa.
Everyone who is both tall and not brave is either kind or not tall.
If mary is both... | Susan is strong. | entailment | (![X]:((happy(X)<~>~old(X))<=>(kind(X)|~quiet(X))))&
(![X]:((~wise(X)&~curious(X))=>(kind(X)|tall(X))))&
(((~quiet(fred)<~>~generous(fred)))<=>((creative(john)<~>tall(john))))&
(![X]:((tall(X)&~brave(X))=>(kind(X)<~>~tall(X))))&
(((quiet(mary)&~patient(mary)))=>(?[X]:((~generous(X)|~rich(X)))))&
((?[X]:((~old(X)|humble... | strong(susan) | [
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7834149543510011216880079
% SZS output start Proof for 7834149543510011216880079
7. ! [X0] : ((kind(X0) | ~tall(X0)) <=> tall(X0)) [input p6]
14. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X0)) [input p13]
16. ! [X0] : (creative(X0) => (old(X0) & ~tall(X0))) [input p15]
21. ~strong(su... | 0 |
If someone is not happy then susan is brave or not generous.
Everyone who is either not calm or not happy is happy or rich.
Everyone who is tall or not kind is both humble and not calm.
Everyone who is funny or not curious is both not wise and not creative and vice versa.
If someone is not curious or not old then lucy ... | Lucy is generous. | neutral | ((?[X]:(~happy(X)))=>((brave(susan)|~generous(susan))))&
(![X]:((~calm(X)<~>~happy(X))=>(happy(X)|rich(X))))&
(![X]:((tall(X)|~kind(X))=>(humble(X)&~calm(X))))&
(![X]:((funny(X)|~curious(X))<=>(~wise(X)&~creative(X))))&
((?[X]:((~curious(X)|~old(X))))<=>((humble(lucy)&~rich(lucy))))&
(((~creative(susan)<~>calm(susan)))... | generous(lucy) | [] | null | 0 |
Everyone who is humble is tall or funny.
Everyone who is not funny is both not kind and humble.
Everyone who is not tall is both happy and not creative and vice versa.
If alice is patient or strong then someone is either kind or not patient and vice versa.
Everyone who is calm or creative is not tall or creative and vi... | Fred is curious. | contradiction | (![X]:(humble(X)=>(tall(X)|funny(X))))&
(![X]:(~funny(X)=>(~kind(X)&humble(X))))&
(![X]:(~tall(X)<=>(happy(X)&~creative(X))))&
(((patient(alice)|strong(alice)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(![X]:((calm(X)|creative(X))<=>(~tall(X)|creative(X))))&
(![X]:((humble(X)|~tall(X))=>(kind(X)&~calm(X))))&
(((~calm(alice... | curious(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2564401409438656544116315
% SZS output start Proof for 2564401409438656544116315
18. ~calm(fred) & ~curious(fred) [input p17]
25. curious(fred) [input hypothesis]
126. ~curious(fred) [cnf transformation 18]
137. curious(fred) [cnf transformation 25]
285. $false [subsumption resolution 137... | 0 |
Everyone who is creative or quiet is either not strong or wise and vice versa. Everyone who is either generous or patient is tall or not brave and vice versa. If paul is not rich or not tall then someone is either calm or not kind. If someone is kind or humble then fred is brave or tall and vice versa. Everyone who is ... | Susan is not creative. | entailment | (![X]:((creative(X)|quiet(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((generous(X)<~>patient(X))<=>(tall(X)|~brave(X))))&
(((~rich(paul)|~tall(paul)))=>(?[X]:((calm(X)<~>~kind(X)))))&
((?[X]:((kind(X)|humble(X))))<=>((brave(fred)|tall(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)&... | ~creative(susan) | [
"p0",
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 327451571504127955546377
% SZS output start Proof for 327451571504127955546377
1. ! [X0] : ((quiet(X0) | creative(X0)) <=> (~strong(X0) <~> wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (~curious(X0) & ~humble(X0))) [input p4]
7. (~brave(susan) <~> ~wise(susan)) <=> br... | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Alice is not wise. | contradiction | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | ~wise(alice) | [
"p0",
"p1",
"p3",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 602931371842283566319892
% SZS output start Proof for 602931371842283566319892
1. ? [X0] : (tall(X0) | ~calm(X0)) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p0]
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((old(X0) & ~generous(X0)) <=... | 0 |
Everyone who is rich or not happy is not quiet or strong and vice versa.
Everyone who is funny is both not humble and not tall.
Everyone who is either kind or wise is both humble and not calm.
Everyone who is either funny or strong is either rich or brave.
Everyone who is both not happy and not funny is either not rich... | Susan is not tall. | neutral | (![X]:((rich(X)|~happy(X))<=>(~quiet(X)|strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~tall(X))))&
(![X]:((kind(X)<~>wise(X))=>(humble(X)&~calm(X))))&
(![X]:((funny(X)<~>strong(X))=>(rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~funny(X))=>(~rich(X)<~>generous(X))))&
(![X]:((~brave(X)&humble(X))=>(~happy(X)|~kind(X))))&
(![X]... | ~tall(susan) | [] | null | 0 |
Everyone who is either not funny or not old is tall and vice versa.
If john is not tall then someone is either not calm or quiet.
Everyone who is not kind is not funny.
If lucy is either kind or quiet then someone is both generous and not patient.
Everyone who is not rich or not creative is not humble and vice versa.
I... | John is not wise. | contradiction | (![X]:((~funny(X)<~>~old(X))<=>tall(X)))&
((~tall(john))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(~kind(X)=>~funny(X)))&
(((kind(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:((~rich(X)|~creative(X))<=>~humble(X)))&
((?[X]:((~creative(X)&~generous(X))))<=>((~old(mary)|~kind(mary))))&
(![X]:((~humble... | ~wise(john) | [
"p6",
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4625679345942698481523064
% SZS output start Proof for 4625679345942698481523064
7. ! [X0] : ((brave(X0) & ~humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p6]
9. (rich(paul) & ~calm(paul)) <=> ? [X0] : humble(X0) [input p8]
11. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (generous(X0) <~> ~... | 0 |
If someone is patient then someone is not kind or humble.
Everyone who is wise is not generous and vice versa.
Everyone who is both not generous and humble is either not wise or not old and vice versa.
Everyone who is not strong is not quiet and vice versa.
If alice is either not kind or patient then someone is quiet o... | Mary is rich. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~kind(X)|humble(X)))))&
(![X]:(wise(X)<=>~generous(X)))&
(![X]:((~generous(X)&humble(X))<=>(~wise(X)<~>~old(X))))&
(![X]:(~strong(X)<=>~quiet(X)))&
(((~kind(alice)<~>patient(alice)))=>(?[X]:((quiet(X)|~humble(X)))))&
((?[X]:((~curious(X)|~generous(X))))<=>(?[X]:(patient(X))))&
(![X]:((~hap... | rich(mary) | [
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2071258321054301543998341
% SZS output start Proof for 2071258321054301543998341
11. ! [X0] : (humble(X0) <=> (~rich(X0) & ~old(X0))) [input p10]
18. humble(mary) & ~wise(mary) [input p17]
25. rich(mary) [input hypothesis]
56. ! [X0] : ((humble(X0) | (rich(X0) | old(X0))) & ((~rich(X0) & ... | 0 |
Everyone who is kind or not curious is either creative or not rich.
Everyone who is strong is not patient or patient.
If susan is not patient or not humble then someone is both not tall and creative and vice versa.
Everyone who is wise is either not calm or not funny and vice versa.
Everyone who is not patient is eithe... | Susan is not rich. | neutral | (![X]:((kind(X)|~curious(X))=>(creative(X)<~>~rich(X))))&
(![X]:(strong(X)=>(~patient(X)|patient(X))))&
(((~patient(susan)|~humble(susan)))<=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:(wise(X)<=>(~calm(X)<~>~funny(X))))&
(![X]:(~patient(X)<=>(~old(X)<~>rich(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>((~patient(fred)|strong... | ~rich(susan) | [] | null | 0 |
If someone is old or wise then susan is wise or not patient and vice versa. If lucy is both humble and not happy then lucy is both patient and old and vice versa. Everyone who is humble or not humble is not quiet or quiet. Everyone who is both not quiet and generous is not creative or not funny and vice versa. Everyone... | Mary is not brave. | entailment | ((?[X]:((old(X)|wise(X))))<=>((wise(susan)|~patient(susan))))&
(((humble(lucy)&~happy(lucy)))<=>((patient(lucy)&old(lucy))))&
(![X]:((humble(X)|~humble(X))=>(~quiet(X)|quiet(X))))&
(![X]:((~quiet(X)&generous(X))<=>(~creative(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(wise(X)<~>calm(X))))&
(((~happy(paul)&~quie... | ~brave(mary) | [
"p3",
"p8",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2610513911564725319259308
% SZS output start Proof for 2610513911564725319259308
4. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (~funny(X0) | ~creative(X0))) [input p3]
9. ? [X0] : kind(X0) <=> (patient(fred) & quiet(fred)) [input p8]
14. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (~wise(X0) | br... | 0 |
If paul is both humble and not generous then someone is generous.
Everyone who is either not rich or kind is either kind or not curious and vice versa.
Everyone who is wise is funny or brave and vice versa.
If alice is both not calm and not tall then someone is both funny and not brave and vice versa.
If susan is both ... | Lucy is calm. | neutral | (((humble(paul)&~generous(paul)))=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>kind(X))<=>(kind(X)<~>~curious(X))))&
(![X]:(wise(X)<=>(funny(X)|brave(X))))&
(((~calm(alice)&~tall(alice)))<=>(?[X]:((funny(X)&~brave(X)))))&
(((old(susan)&creative(susan)))<=>((strong(mary)<~>wise(mary))))&
(![X]:((~brave(X)|rich(X))<=>rich(... | calm(lucy) | [] | null | 0 |
If someone is funny then someone is both generous and not funny.
Everyone who is either old or patient is happy or generous and vice versa.
Everyone who is either calm or wise is not kind or not creative and vice versa.
Everyone who is not curious or wise is both curious and kind and vice versa.
If someone is not rich ... | Alice is not funny. | entailment | ((?[X]:(funny(X)))=>(?[X]:((generous(X)&~funny(X)))))&
(![X]:((old(X)<~>patient(X))<=>(happy(X)|generous(X))))&
(![X]:((calm(X)<~>wise(X))<=>(~kind(X)|~creative(X))))&
(![X]:((~curious(X)|wise(X))<=>(curious(X)&kind(X))))&
((?[X]:(~rich(X)))=>((old(lucy)&~old(lucy))))&
(((kind(alice)&~quiet(alice)))<=>(?[X]:(~strong(X)... | ~funny(alice) | [
"p2",
"p3",
"p6",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5265307334293339592613821
% SZS output start Proof for 5265307334293339592613821
3. ! [X0] : ((calm(X0) <~> wise(X0)) <=> (~creative(X0) | ~kind(X0))) [input p2]
4. ! [X0] : ((wise(X0) | ~curious(X0)) <=> (kind(X0) & curious(X0))) [input p3]
7. ! [X0] : (calm(X0) => (creative(X0) & rich(X... | 0 |
Everyone who is both happy and not happy is either not funny or tall. If fred is either not creative or humble then someone is either not generous or strong. If john is both not generous and humble then someone is curious. If someone is either quiet or not happy then someone is either not brave or brave. If susan is no... | John is wise. | contradiction | (![X]:((happy(X)&~happy(X))=>(~funny(X)<~>tall(X))))&
(((~creative(fred)<~>humble(fred)))=>(?[X]:((~generous(X)<~>strong(X)))))&
(((~generous(john)&humble(john)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)<~>~happy(X))))=>(?[X]:((~brave(X)<~>brave(X)))))&
((~happy(susan))=>((~calm(lucy)<~>old(lucy))))&
(![X]:(curious(X)<... | wise(john) | [
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6631670719777780171454994
% SZS output start Proof for 6631670719777780171454994
6. ! [X0] : (curious(X0) <=> (humble(X0) <~> happy(X0))) [input p5]
10. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~curious(X0))) [input p9]
11. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> happy(X0)) [input p10]
22.... | 0 |
Everyone who is not patient or not quiet is either kind or not curious.
Everyone who is both not quiet and happy is quiet or rich and vice versa.
Everyone who is both calm and not rich is either wise or generous.
Everyone who is humble or not old is both happy and not curious.
If mary is both not kind and not quiet the... | Fred is not happy. | contradiction | (![X]:((~patient(X)|~quiet(X))=>(kind(X)<~>~curious(X))))&
(![X]:((~quiet(X)&happy(X))<=>(quiet(X)|rich(X))))&
(![X]:((calm(X)&~rich(X))=>(wise(X)<~>generous(X))))&
(![X]:((humble(X)|~old(X))=>(happy(X)&~curious(X))))&
(((~kind(mary)&~quiet(mary)))=>((~humble(paul)|brave(paul))))&
(![X]:(~creative(X)=>~calm(X)))&
((?[X... | ~happy(fred) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7896914295681266715221672
% SZS output start Proof for 7896914295681266715221672
2. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (rich(X0) | quiet(X0))) [input p1]
13. ! [X0] : ((quiet(X0) <~> ~rich(X0)) => happy(X0)) [input p12]
24. ~happy(fred) [input hypothesis]
37. ! [X0] : (happy(X0) | (qu... | 0 |
Everyone who is not brave is either not quiet or quiet.
Everyone who is either patient or not funny is funny and vice versa.
If someone is either rich or not quiet then paul is not humble.
If someone is either strong or curious then someone is not funny or not wise.
Everyone who is either funny or wise is patient.
Ever... | Susan is not strong. | entailment | (![X]:(~brave(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(~humble(paul)))&
((?[X]:((strong(X)<~>curious(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((funny(X)<~>wise(X))=>patient(X)))&
(![X]:((humble(X)<~>~generous(X))<=>~creative(X)))&
(![X]:((humble(X... | ~strong(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 506423019821795151179977
% SZS output start Proof for 506423019821795151179977
2. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p1]
6. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~creative(X0)) [input p5]
11. ? [X0] : (~curious(X0) | ~kind(X0)) <=> (~patient(lucy) | genero... | 0 |
If susan is generous or not tall then someone is both not wise and not brave and vice versa.
If someone is either not old or not funny then someone is either not funny or rich.
If fred is rich or curious then john is both not wise and rich.
If alice is kind then someone is either strong or brave and vice versa.
If some... | Mary is happy. | contradiction | (((generous(susan)|~tall(susan)))<=>(?[X]:((~wise(X)&~brave(X)))))&
((?[X]:((~old(X)<~>~funny(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
(((rich(fred)|curious(fred)))=>((~wise(john)&rich(john))))&
((kind(alice))<=>(?[X]:((strong(X)<~>brave(X)))))&
((?[X]:((~curious(X)<~>~quiet(X))))<=>(~creative(mary)))&
(![X]:(~happy(X)<... | happy(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3515289717958161977154909
% SZS output start Proof for 3515289717958161977154909
6. ! [X0] : (~happy(X0) <=> (tall(X0) | ~tall(X0))) [input p5]
25. happy(mary) [input hypothesis]
51. ! [X0] : ((~happy(X0) | (~tall(X0) & tall(X0))) & ((tall(X0) | ~tall(X0)) | happy(X0))) [nnf transformatio... | 0 |
If paul is both not quiet and not calm then someone is both not rich and tall.
Everyone who is both rich and not kind is either not brave or not humble.
Everyone who is strong is not wise or not creative and vice versa.
Everyone who is not rich is tall or wise and vice versa.
If someone is strong or not brave then some... | John is tall. | neutral | (((~quiet(paul)&~calm(paul)))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((rich(X)&~kind(X))=>(~brave(X)<~>~humble(X))))&
(![X]:(strong(X)<=>(~wise(X)|~creative(X))))&
(![X]:(~rich(X)<=>(tall(X)|wise(X))))&
((?[X]:((strong(X)|~brave(X))))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((patient(X)|rich(X))=>(~rich(X)<~>~humble(X))))... | tall(john) | [] | null | 0 |
Everyone who is both humble and not tall is not curious.
Everyone who is either not quiet or funny is both brave and wise.
Everyone who is patient is both kind and not quiet.
If john is both curious and patient then alice is both not generous and strong and vice versa.
If someone is calm or funny then someone is both n... | Fred is not creative. | contradiction | (![X]:((humble(X)&~tall(X))=>~curious(X)))&
(![X]:((~quiet(X)<~>funny(X))=>(brave(X)&wise(X))))&
(![X]:(patient(X)=>(kind(X)&~quiet(X))))&
(((curious(john)&patient(john)))<=>((~generous(alice)&strong(alice))))&
((?[X]:((calm(X)|funny(X))))=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:((patient(X)|~humble(X))<=>(strong(... | ~creative(fred) | [
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3355225562929505954542750
% SZS output start Proof for 3355225562929505954542750
6. ! [X0] : ((~humble(X0) | patient(X0)) <=> (~old(X0) & strong(X0))) [input p5]
10. ! [X0] : ((~humble(X0) & old(X0)) <=> (brave(X0) <~> ~funny(X0))) [input p9]
12. ! [X0] : (~brave(X0) <=> (creative(X0) <~>... | 0 |
Everyone who is rich or not happy is both not old and not brave.
Everyone who is both not strong and quiet is wise or not happy.
If lucy is either old or not tall then someone is strong and vice versa.
If alice is not brave then paul is quiet or curious and vice versa.
If someone is both not quiet and creative then mar... | Mary is not calm. | neutral | (![X]:((rich(X)|~happy(X))=>(~old(X)&~brave(X))))&
(![X]:((~strong(X)&quiet(X))=>(wise(X)|~happy(X))))&
(((old(lucy)<~>~tall(lucy)))<=>(?[X]:(strong(X))))&
((~brave(alice))<=>((quiet(paul)|curious(paul))))&
((?[X]:((~quiet(X)&creative(X))))<=>(brave(mary)))&
(![X]:(~old(X)<=>(humble(X)&kind(X))))&
((?[X]:(~strong(X)))<... | ~calm(mary) | [] | null | 0 |
Everyone who is both not quiet and funny is not patient and vice versa. If someone is either not patient or curious then alice is either not kind or rich. Everyone who is old is either quiet or tall and vice versa. If someone is both not calm and old then someone is tall. If fred is happy or creative then alice is eith... | Fred is not calm. | neutral | (![X]:((~quiet(X)&funny(X))<=>~patient(X)))&
((?[X]:((~patient(X)<~>curious(X))))=>((~kind(alice)<~>rich(alice))))&
(![X]:(old(X)<=>(quiet(X)<~>tall(X))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:(tall(X))))&
(((happy(fred)|creative(fred)))<=>((calm(alice)<~>~kind(alice))))&
(![X]:((~generous(X)<~>~humble(X))=>(~old(X)&brav... | ~calm(fred) | [] | null | 0 |
Everyone who is rich is not brave or not funny.
Everyone who is strong or curious is not funny.
Everyone who is creative or calm is not patient.
If mary is both funny and not happy then someone is not generous or tall.
If someone is not humble then alice is either not tall or funny and vice versa.
Everyone who is both ... | John is happy. | neutral | (![X]:(rich(X)=>(~brave(X)|~funny(X))))&
(![X]:((strong(X)|curious(X))=>~funny(X)))&
(![X]:((creative(X)|calm(X))=>~patient(X)))&
(((funny(mary)&~happy(mary)))=>(?[X]:((~generous(X)|tall(X)))))&
((?[X]:(~humble(X)))<=>((~tall(alice)<~>funny(alice))))&
(![X]:((~strong(X)&rich(X))<=>(happy(X)&~creative(X))))&
(![X]:((qui... | happy(john) | [] | null | 0 |
If fred is both not curious and not quiet then fred is either not rich or not kind. Everyone who is not strong is both wise and quiet and vice versa. Everyone who is both tall and generous is not tall or not creative and vice versa. Everyone who is brave or not wise is happy or not humble and vice versa. If john is eit... | Mary is not tall. | contradiction | (((~curious(fred)&~quiet(fred)))=>((~rich(fred)<~>~kind(fred))))&
(![X]:(~strong(X)<=>(wise(X)&quiet(X))))&
(![X]:((tall(X)&generous(X))<=>(~tall(X)|~creative(X))))&
(![X]:((brave(X)|~wise(X))<=>(happy(X)|~humble(X))))&
(((kind(john)<~>~humble(john)))<=>(?[X]:(~curious(X))))&
(![X]:((~curious(X)&happy(X))=>(quiet(X)|cu... | ~tall(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6692225011694478446658904
% SZS output start Proof for 6692225011694478446658904
3. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(X0) | ~tall(X0))) [input p2]
24. ~tall(mary) [input hypothesis]
39. ! [X0] : (((generous(X0) & tall(X0)) | (creative(X0) & tall(X0))) & ((~creative(X0) | ... | 0 |
Everyone who is either not strong or humble is either tall or kind.
Everyone who is both calm and not happy is not humble.
If someone is both funny and not curious then someone is not old or creative and vice versa.
Everyone who is both not creative and tall is calm and vice versa.
If susan is either wise or not happy ... | Alice is generous. | entailment | (![X]:((~strong(X)<~>humble(X))=>(tall(X)<~>kind(X))))&
(![X]:((calm(X)&~happy(X))=>~humble(X)))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~creative(X)&tall(X))<=>calm(X)))&
(((wise(susan)<~>~happy(susan)))<=>((funny(alice)|kind(alice))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((quiet... | generous(alice) | [
"p5",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7077978278786352691760253
% SZS output start Proof for 7077978278786352691760253
6. ? [X0] : (~quiet(X0) <~> generous(X0)) <=> (strong(mary) | quiet(mary)) [input p5]
7. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~strong(X0) | brave(X0))) [input p6]
13. ! [X0] : ((~curious(X0) | strong(X0)) =>... | 0 |
If someone is both not humble and kind then susan is curious and vice versa.
If someone is not kind or not strong then someone is both not quiet and not kind and vice versa.
Everyone who is both calm and rich is either not brave or strong.
Everyone who is curious or not patient is both not brave and tall and vice versa... | Alice is old. | neutral | ((?[X]:((~humble(X)&kind(X))))<=>(curious(susan)))&
((?[X]:((~kind(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>strong(X))))&
(![X]:((curious(X)|~patient(X))<=>(~brave(X)&tall(X))))&
(((~patient(alice)<~>~funny(alice)))<=>((~creative(john)<~>~quiet(john))))&
(![X]:((creative... | old(alice) | [] | null | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa. If fred is both old and not kind then someone is not curious or strong. If someone is either patient or creative then someone is old and vice versa. If susan is either quiet or patient then mary is either tall or strong and vice... | Paul is calm. | contradiction | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((old(fred)&~kind(fred)))=>(?[X]:((~curious(X)|strong(X)))))&
((?[X]:((patient(X)<~>creative(X))))<=>(?[X]:(old(X))))&
(((quiet(susan)<~>patient(susan)))<=>((tall(mary)<~>strong(mary))))&
(((~old(john)|strong(john)))<=>(?[X]:((strong(X)&~quiet(X)))))&
(((~happ... | calm(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6871234460607488908117609
% SZS output start Proof for 6871234460607488908117609
24. ~calm(paul) & happy(paul) [input p23]
25. calm(paul) [input hypothesis]
162. ~calm(paul) [cnf transformation 24]
163. calm(paul) [cnf transformation 25]
370. $false [subsumption resolution 163,162]
% SZS ... | 0 |
If john is patient then paul is old or brave.
Everyone who is creative is both funny and not brave.
If mary is either not wise or kind then someone is both kind and wise and vice versa.
If alice is either not funny or tall then alice is not strong or not creative and vice versa.
Everyone who is not quiet or not strong ... | Paul is wise. | contradiction | ((patient(john))=>((old(paul)|brave(paul))))&
(![X]:(creative(X)=>(funny(X)&~brave(X))))&
(((~wise(mary)<~>kind(mary)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~funny(alice)<~>tall(alice)))<=>((~strong(alice)|~creative(alice))))&
(![X]:((~quiet(X)|~strong(X))=>(~tall(X)<~>generous(X))))&
(((old(alice)&curious(alice)))<=>(?[X... | wise(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5309706361237975225151157
% SZS output start Proof for 5309706361237975225151157
9. ! [X0] : (wise(X0) => (~calm(X0) & ~wise(X0))) [input p8]
24. wise(paul) [input hypothesis]
30. ! [X0] : ((~calm(X0) & ~wise(X0)) | ~wise(X0)) [ennf transformation 9]
96. ~wise(X0) | ~wise(X0) [cnf transfo... | 0 |
If someone is both not creative and humble then john is either creative or not happy and vice versa.
Everyone who is not curious or calm is either generous or rich and vice versa.
If alice is humble then paul is either not generous or rich.
If susan is both not generous and not curious then someone is both not tall and... | Paul is not old. | entailment | ((?[X]:((~creative(X)&humble(X))))<=>((creative(john)<~>~happy(john))))&
(![X]:((~curious(X)|calm(X))<=>(generous(X)<~>rich(X))))&
((humble(alice))=>((~generous(paul)<~>rich(paul))))&
(((~generous(susan)&~curious(susan)))=>(?[X]:((~tall(X)&funny(X)))))&
((?[X]:((~kind(X)|happy(X))))=>(?[X]:((~patient(X)<~>~rich(X)))))&... | ~old(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4738338894938132930250517
% SZS output start Proof for 4738338894938132930250517
13. (old(paul) | ~rich(paul)) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p12]
23. old(paul) [input hypothesis]
63. ((old(paul) | ~rich(paul)) | ! [X0] : (funny(X0) | ~funny(X0))) & (? [X0] : (~funny(X0) & f... | 0 |
Everyone who is creative or quiet is not curious.
Everyone who is not tall is not wise or strong and vice versa.
Everyone who is either not creative or happy is both not happy and not rich and vice versa.
Everyone who is not happy or not strong is either curious or kind.
Everyone who is either not rich or not quiet is ... | Fred is not quiet. | neutral | (![X]:((creative(X)|quiet(X))=>~curious(X)))&
(![X]:(~tall(X)<=>(~wise(X)|strong(X))))&
(![X]:((~creative(X)<~>happy(X))<=>(~happy(X)&~rich(X))))&
(![X]:((~happy(X)|~strong(X))=>(curious(X)<~>kind(X))))&
(![X]:((~rich(X)<~>~quiet(X))<=>~humble(X)))&
((?[X]:((calm(X)|~happy(X))))=>(?[X]:((curious(X)|strong(X)))))&
((?[X... | ~quiet(fred) | [] | null | 0 |
Everyone who is either not creative or humble is either quiet or old and vice versa.
Everyone who is creative is either not kind or brave.
Everyone who is not patient is not funny or creative and vice versa.
If someone is not generous or not strong then fred is creative and vice versa.
If paul is both rich and not quie... | Fred is funny. | entailment | (![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>old(X))))&
(![X]:(creative(X)=>(~kind(X)<~>brave(X))))&
(![X]:(~patient(X)<=>(~funny(X)|creative(X))))&
((?[X]:((~generous(X)|~strong(X))))<=>(creative(fred)))&
(((rich(paul)&~quiet(paul)))=>(?[X]:(~curious(X))))&
(![X]:(happy(X)<=>(~kind(X)&funny(X))))&
(((~rich(john)&~c... | funny(fred) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9195994996664102467868613
% SZS output start Proof for 9195994996664102467868613
3. ! [X0] : (~patient(X0) <=> (creative(X0) | ~funny(X0))) [input p2]
6. ! [X0] : (happy(X0) <=> (funny(X0) & ~kind(X0))) [input p5]
10. ! [X0] : (~patient(X0) => (creative(X0) & happy(X0))) [input p9]
25. ~f... | 0 |
Everyone who is both not calm and not rich is not kind.
Everyone who is either wise or not quiet is not strong or not generous and vice versa.
Everyone who is either creative or not calm is not strong or old.
Everyone who is patient is either funny or not happy and vice versa.
If john is happy or curious then someone i... | Fred is quiet. | neutral | (![X]:((~calm(X)&~rich(X))=>~kind(X)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~strong(X)|~generous(X))))&
(![X]:((creative(X)<~>~calm(X))=>(~strong(X)|old(X))))&
(![X]:(patient(X)<=>(funny(X)<~>~happy(X))))&
(((happy(john)|curious(john)))<=>(?[X]:(~creative(X))))&
((~humble(john))=>((~generous(susan)<~>~creative(susan))))&
(... | quiet(fred) | [] | null | 0 |
Everyone who is not creative is both wise and not humble and vice versa. If someone is both tall and brave then mary is either humble or patient and vice versa. Everyone who is either not quiet or not patient is either curious or not calm. Everyone who is both not creative and wise is either generous or rich. If someon... | John is creative. | neutral | (![X]:(~creative(X)<=>(wise(X)&~humble(X))))&
((?[X]:((tall(X)&brave(X))))<=>((humble(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>~patient(X))=>(curious(X)<~>~calm(X))))&
(![X]:((~creative(X)&wise(X))=>(generous(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~curious(X))))&
(![X]:(wise(X)=>tall(X)))&
(((~kind(paul)|~bra... | creative(john) | [] | null | 0 |
Everyone who is patient is both calm and creative and vice versa.
Everyone who is either brave or wise is both generous and not old and vice versa.
Everyone who is kind or not creative is not wise.
If someone is both curious and brave then alice is either not patient or not quiet and vice versa.
If someone is kind then... | Mary is calm. | neutral | (![X]:(patient(X)<=>(calm(X)&creative(X))))&
(![X]:((brave(X)<~>wise(X))<=>(generous(X)&~old(X))))&
(![X]:((kind(X)|~creative(X))=>~wise(X)))&
((?[X]:((curious(X)&brave(X))))<=>((~patient(alice)<~>~quiet(alice))))&
((?[X]:(kind(X)))=>(?[X]:((~strong(X)&kind(X)))))&
(((funny(paul)&generous(paul)))<=>(?[X]:((brave(X)&~ki... | calm(mary) | [] | null | 0 |
Everyone who is not tall or not happy is both wise and tall. Everyone who is wise is either not old or not wise. If fred is both not quiet and not funny then someone is either not kind or brave and vice versa. If someone is both generous and not strong then someone is not funny. Everyone who is both quiet and kind is r... | John is calm. | contradiction | (![X]:((~tall(X)|~happy(X))=>(wise(X)&tall(X))))&
(![X]:(wise(X)=>(~old(X)<~>~wise(X))))&
(((~quiet(fred)&~funny(fred)))<=>(?[X]:((~kind(X)<~>brave(X)))))&
((?[X]:((generous(X)&~strong(X))))=>(?[X]:(~funny(X))))&
(![X]:((quiet(X)&kind(X))=>rich(X)))&
(![X]:((~wise(X)<~>~happy(X))=>quiet(X)))&
(![X]:((calm(X)&~patient(X... | calm(john) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8985300898687384283774013
% SZS output start Proof for 8985300898687384283774013
14. ! [X0] : ((calm(X0) <~> generous(X0)) => ~calm(X0)) [input p13]
17. ~generous(john) & humble(john) [input p16]
24. calm(john) [input hypothesis]
28. ~generous(john) [pure predicate removal 17]
46. ! [X0] ... | 0 |
Everyone who is not funny is both generous and not calm.
If john is either wise or funny then alice is both curious and strong.
Everyone who is not creative or funny is both not curious and not rich and vice versa.
Everyone who is not curious is not happy or not calm and vice versa.
Everyone who is old is both not old ... | Mary is tall. | entailment | (![X]:(~funny(X)=>(generous(X)&~calm(X))))&
(((wise(john)<~>funny(john)))=>((curious(alice)&strong(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~curious(X)&~rich(X))))&
(![X]:(~curious(X)<=>(~happy(X)|~calm(X))))&
(![X]:(old(X)=>(~old(X)&rich(X))))&
(((~wise(paul)&~humble(paul)))<=>(?[X]:(~tall(X))))&
(![X]:(patient(X)... | tall(mary) | [
"p0",
"p2",
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8264675536903570929948326
% SZS output start Proof for 8264675536903570929948326
1. ! [X0] : (~funny(X0) => (~calm(X0) & generous(X0))) [input p0]
3. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~rich(X0) & ~curious(X0))) [input p2]
4. ! [X0] : (~curious(X0) <=> (~calm(X0) | ~happy(X0))) [i... | 0 |
If someone is wise or not rich then mary is either not calm or not brave and vice versa.
Everyone who is patient or tall is both kind and brave.
Everyone who is funny or not wise is not kind or not quiet.
If someone is generous then john is not quiet or funny.
Everyone who is both not patient and not tall is wise and v... | Lucy is not quiet. | entailment | ((?[X]:((wise(X)|~rich(X))))<=>((~calm(mary)<~>~brave(mary))))&
(![X]:((patient(X)|tall(X))=>(kind(X)&brave(X))))&
(![X]:((funny(X)|~wise(X))=>(~kind(X)|~quiet(X))))&
((?[X]:(generous(X)))=>((~quiet(john)|funny(john))))&
(![X]:((~patient(X)&~tall(X))<=>wise(X)))&
(((generous(lucy)|brave(lucy)))<=>(?[X]:((~funny(X)|~tal... | ~quiet(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5906117947609339694583100
% SZS output start Proof for 5906117947609339694583100
2. ! [X0] : ((tall(X0) | patient(X0)) => (brave(X0) & kind(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | funny(X0)) => (~quiet(X0) | ~kind(X0))) [input p2]
5. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> wise(X0)) [... | 0 |
If someone is either rich or creative then someone is both not happy and tall and vice versa.
Everyone who is both old and generous is not funny and vice versa.
If paul is brave or patient then susan is either old or kind.
If fred is both not calm and not humble then john is not generous or not rich and vice versa.
Eve... | John is not generous. | neutral | ((?[X]:((rich(X)<~>creative(X))))<=>(?[X]:((~happy(X)&tall(X)))))&
(![X]:((old(X)&generous(X))<=>~funny(X)))&
(((brave(paul)|patient(paul)))=>((old(susan)<~>kind(susan))))&
(((~calm(fred)&~humble(fred)))<=>((~generous(john)|~rich(john))))&
(![X]:((~humble(X)&~calm(X))=>(~old(X)|kind(X))))&
((?[X]:((calm(X)&~funny(X))))... | ~generous(john) | [] | null | 0 |
Everyone who is rich or humble is tall. If fred is rich then someone is either happy or rich and vice versa. If lucy is rich or old then susan is both happy and rich and vice versa. If someone is either not calm or not rich then susan is both rich and not wise and vice versa. If mary is not tall or not curious then mar... | Fred is not calm. | contradiction | (![X]:((rich(X)|humble(X))=>tall(X)))&
((rich(fred))<=>(?[X]:((happy(X)<~>rich(X)))))&
(((rich(lucy)|old(lucy)))<=>((happy(susan)&rich(susan))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>((rich(susan)&~wise(susan))))&
(((~tall(mary)|~curious(mary)))<=>((~quiet(mary)&brave(mary))))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(~cre... | ~calm(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1620141519311124109575560
% SZS output start Proof for 1620141519311124109575560
9. ! [X0] : ((~wise(X0) | wise(X0)) => (calm(X0) & old(X0))) [input p8]
24. ~calm(fred) [input hypothesis]
28. ! [X0] : ((calm(X0) & old(X0)) | (wise(X0) & ~wise(X0))) [ennf transformation 9]
118. calm(X0) | ... | 0 |
Everyone who is not calm is either not creative or kind.
Everyone who is calm is both funny and humble and vice versa.
Everyone who is both brave and not wise is either calm or not tall.
If someone is not strong then susan is both rich and old and vice versa.
If fred is either tall or not calm then someone is either no... | Alice is not wise. | entailment | (![X]:(~calm(X)=>(~creative(X)<~>kind(X))))&
(![X]:(calm(X)<=>(funny(X)&humble(X))))&
(![X]:((brave(X)&~wise(X))=>(calm(X)<~>~tall(X))))&
((?[X]:(~strong(X)))<=>((rich(susan)&old(susan))))&
(((tall(fred)<~>~calm(fred)))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(((~happy(susan)<~>quiet(susan)))<=>(?[X]:((happy(X)|kind(X)))))... | ~wise(alice) | [
"p1",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8961533715149383982397458
% SZS output start Proof for 8961533715149383982397458
2. ! [X0] : (calm(X0) <=> (humble(X0) & funny(X0))) [input p1]
13. ! [X0] : ((wise(X0) | old(X0)) <=> (~quiet(X0) & calm(X0))) [input p12]
14. ! [X0] : ((~quiet(X0) & curious(X0)) <=> (quiet(X0) <~> ~calm(X0)... | 0 |
Everyone who is either strong or not strong is both not funny and not calm and vice versa.
If lucy is either not funny or not old then paul is not funny.
Everyone who is either not old or not wise is generous and vice versa.
If someone is not tall or not patient then fred is not brave or generous and vice versa.
Everyo... | Susan is kind. | neutral | (![X]:((strong(X)<~>~strong(X))<=>(~funny(X)&~calm(X))))&
(((~funny(lucy)<~>~old(lucy)))=>(~funny(paul)))&
(![X]:((~old(X)<~>~wise(X))<=>generous(X)))&
((?[X]:((~tall(X)|~patient(X))))<=>((~brave(fred)|generous(fred))))&
(![X]:((happy(X)<~>~patient(X))<=>brave(X)))&
(![X]:((funny(X)<~>~generous(X))<=>(old(X)|~brave(X))... | kind(susan) | [] | null | 0 |
Everyone who is either not generous or not calm is either not brave or funny.
Everyone who is either patient or not tall is both brave and strong and vice versa.
If mary is either not quiet or not humble then susan is either happy or not rich and vice versa.
If someone is not creative then someone is not generous.
If s... | Fred is not strong. | neutral | (![X]:((~generous(X)<~>~calm(X))=>(~brave(X)<~>funny(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(brave(X)&strong(X))))&
(((~quiet(mary)<~>~humble(mary)))<=>((happy(susan)<~>~rich(susan))))&
((?[X]:(~creative(X)))=>(?[X]:(~generous(X))))&
(((~rich(susan)|~strong(susan)))=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:((~curiou... | ~strong(fred) | [] | null | 0 |
If someone is either not curious or not wise then alice is not old and vice versa.
If susan is generous then someone is not tall or rich.
Everyone who is both not patient and not creative is brave and vice versa.
Everyone who is both not funny and funny is not curious or not tall and vice versa.
If someone is creative ... | Susan is not happy. | entailment | ((?[X]:((~curious(X)<~>~wise(X))))<=>(~old(alice)))&
((generous(susan))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~patient(X)&~creative(X))<=>brave(X)))&
(![X]:((~funny(X)&funny(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
(((calm(lucy)&funny(lucy)))<=>((rich(ma... | ~happy(susan) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7821858726830949489648016
% SZS output start Proof for 7821858726830949489648016
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~tall(X0) | ~curious(X0))) [input p3]
17. ~tall(susan) <~> ~happy(susan) [input p16]
22. happy(susan) [input hypothesis]
38. ! [X0] : (((funny(X0) & ~funny(X0)) | (t... | 0 |
Everyone who is not strong is quiet.
Everyone who is not tall or not funny is humble.
Everyone who is not generous or tall is brave.
Everyone who is not humble or not old is either calm or tall.
Everyone who is either not strong or not tall is funny or not rich and vice versa.
Everyone who is either generous or patient... | Mary is old. | neutral | (![X]:(~strong(X)=>quiet(X)))&
(![X]:((~tall(X)|~funny(X))=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>brave(X)))&
(![X]:((~humble(X)|~old(X))=>(calm(X)<~>tall(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(funny(X)|~rich(X))))&
(![X]:((generous(X)<~>patient(X))<=>patient(X)))&
(![X]:((tall(X)<~>~generous(X))=>(old(X)&wise(... | old(mary) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is both creative and kind then someone is not patient.
Everyone who is both not curious and not rich is humble or not calm and vice versa.
Everyone who is both happy and not rich is funny or not creative and vice versa.
Everyone... | Lucy is quiet. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~curious(X)&~rich(X))<=>(humble(X)|~calm(X))))&
(![X]:((happy(X)&~rich(X))<=>(funny(X)|~creative(X))))&
(![X]:((~tall(X)<~>~curious(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>tall(X))=>~wi... | quiet(lucy) | [
"p0",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6217412853744437270941388
% SZS output start Proof for 6217412853744437270941388
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
13. ! [X0] : (~old(X0) <=> ~happy(X0)) [input p12]
14. ! [X0] : (quiet(X0) <=> (wise(X0) & ~humble(X0))) [input p13]
15. ! [... | 0 |
If fred is humble or creative then alice is both not happy and not strong and vice versa.
Everyone who is either humble or happy is not rich or wise.
If someone is both wise and not humble then someone is tall and vice versa.
Everyone who is happy is not strong.
If mary is not quiet or humble then john is both not gene... | Mary is creative. | contradiction | (((humble(fred)|creative(fred)))<=>((~happy(alice)&~strong(alice))))&
(![X]:((humble(X)<~>happy(X))=>(~rich(X)|wise(X))))&
((?[X]:((wise(X)&~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:(happy(X)=>~strong(X)))&
(((~quiet(mary)|humble(mary)))=>((~generous(john)&quiet(john))))&
(![X]:((humble(X)|~wise(X))<=>(brave(X)|~curious... | creative(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6716689108497158783201643
% SZS output start Proof for 6716689108497158783201643
10. ! [X0] : (creative(X0) => (~calm(X0) & ~creative(X0))) [input p9]
25. creative(mary) [input hypothesis]
32. ! [X0] : ((~calm(X0) & ~creative(X0)) | ~creative(X0)) [ennf transformation 10]
111. ~creative(X... | 0 |
Everyone who is both not calm and tall is kind or strong. Everyone who is both tall and brave is both calm and not rich. Everyone who is both generous and curious is not brave or patient and vice versa. If someone is not old then lucy is not quiet or not calm and vice versa. Everyone who is either humble or not humble ... | Fred is quiet. | neutral | (![X]:((~calm(X)&tall(X))=>(kind(X)|strong(X))))&
(![X]:((tall(X)&brave(X))=>(calm(X)&~rich(X))))&
(![X]:((generous(X)&curious(X))<=>(~brave(X)|patient(X))))&
((?[X]:(~old(X)))<=>((~quiet(lucy)|~calm(lucy))))&
(![X]:((humble(X)<~>~humble(X))=>~calm(X)))&
((?[X]:((~creative(X)|wise(X))))=>(?[X]:((~calm(X)<~>~wise(X)))))... | quiet(fred) | [] | null | 0 |
If alice is tall or not old then mary is humble and vice versa. If someone is not brave then someone is both rich and not curious and vice versa. If mary is not tall or not funny then mary is either not generous or not patient. Everyone who is both not tall and not humble is either not wise or not calm. Everyone who is... | Mary is not generous. | contradiction | (((tall(alice)|~old(alice)))<=>(humble(mary)))&
((?[X]:(~brave(X)))<=>(?[X]:((rich(X)&~curious(X)))))&
(((~tall(mary)|~funny(mary)))=>((~generous(mary)<~>~patient(mary))))&
(![X]:((~tall(X)&~humble(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>calm(X)))&
((?[X]:(~rich(X)))<=>((humble(alice)|happy(alice))))&
(![X]... | ~generous(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 115441302979431736324325
% SZS output start Proof for 115441302979431736324325
24. generous(mary) [input p23]
25. ~generous(mary) [input hypothesis]
129. generous(mary) [cnf transformation 24]
130. ~generous(mary) [cnf transformation 25]
172. 10 <=> generous(mary) [avatar definition]
293.... | 0 |
If susan is not kind then john is either quiet or not calm. Everyone who is creative is humble and vice versa. Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john... | Mary is rich. | contradiction | ((~kind(susan))=>((quiet(john)<~>~calm(john))))&
(![X]:(creative(X)<=>humble(X)))&
(![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curiou... | rich(mary) | [
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2593875910600076197806072
% SZS output start Proof for 2593875910600076197806072
3. ! [X0] : ((~happy(X0) & kind(X0)) <=> (~happy(X0) <~> rich(X0))) [input p2]
5. ! [X0] : ((tall(X0) | ~tall(X0)) <=> brave(X0)) [input p4]
9. ! [X0] : (~kind(X0) => (funny(X0) & ~brave(X0))) [input p8]
25. ... | 0 |
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